xref: /petsc/doc/petsc.bib (revision d8c1652d4e714ba185014fc417aa9075f802450d)
1%
2% This file is formatted by:
3%    bibtool petsc.bib -- expand.macros=on -- print.line.length=100 -- pass.comments=on
4%
5% If the reference uses PETSc, include a field listing components used, e.g.
6%     petsc_uses = {KSP, SNES, TS, TAO},
7%
8% For journal names, write out the full name, do not define abbreviations
9%
10% There are some additional historical comments below which may be of interest,
11% particularly in terms of notes about particularly impactful publications using PETSc.
12%
13
14% LiteralHTML:
15% LiteralHTML:     <H2><center>Research and Publications that make use of PETSc</center></H2>
16% LiteralHTML:
17% LiteralHTML:  <a name="nano"><H3><center>Nano-simulations</center></H3>
18% LiteralHTML:
19@Article{	 openblas,
20  title		= {OpenBLAS: A High Performance BLAS Library on Loongson 3A CPU},
21  journal	= {Journal of Software},
22  volume	= {22},
23  pages		= {208--216},
24  year		= {2011},
25  url		= {https://www.jos.org.cn/josen/article/abstract/11042},
26  author	= {ZHANG Xian-Yi and WANG Qian and ZHANG Yun-Quan Richard}
27}
28
29@Misc{		  openblas-website,
30  title		= {{OpenBLAS}},
31  key		= {OpeBLAS},
32  howpublished	= {\url{https://www.openblas.net}}
33}
34
35@Misc{		  openacc-website,
36  title		= {{OpenACC}},
37  key		= {OpenACC},
38  howpublished	= {\url{https://www.openacc.org}}
39}
40
41@Misc{		  bueler2020petsc,
42  title		= {PETSc for Partial Differential Equations: Numerical Solutions in C and Python},
43  author	= {Bueler, Ed},
44  year		= {2020},
45  publisher	= {SIAM},
46  petsc_uses	= {KSP}
47}
48
49@TechReport{	  petscforgpuexascale,
50  title		= {Toward Performance-Portable PETSc for GPU-based Exascale Systems},
51  author	= {Richard Tran Mills and Mark F. Adams and Satish Balay and Jed Brown and Alp Dener
52		  and Matthew Knepley and Scott E. Kruger and Hannah~Morgan and Todd Munson and Karl
53		  Rupp and Barry F. Smith and Stefano Zampini and Hong Zhang and Junchao Zhang},
54  institution	= {Argonne National Laboratory},
55  number	= {ANL/MCS-P9401-1020},
56  note		= {\url{https://arxiv.org/abs/2011.00715}},
57  year		= {2020},
58  petsc_uses	= {KSP}
59}
60
61@Article{	  mills2021,
62  title		= {Toward performance-portable {PETS}c for {GPU}-based exascale systems},
63  journal	= {Parallel Computing},
64  volume	= {108},
65  pages		= {102831},
66  year		= {2021},
67  issn		= {0167-8191},
68  doi		= {https://doi.org/10.1016/j.parco.2021.102831},
69  url		= {https://www.sciencedirect.com/science/article/pii/S016781912100079X},
70  author	= {Richard Tran Mills and Mark F. Adams and Satish Balay and Jed Brown and Alp Dener
71		  and Matthew Knepley and Scott E. Kruger and Hannah Morgan and Todd Munson and Karl
72		  Rupp and Barry F. Smith and Stefano Zampini and Hong Zhang and Junchao Zhang}
73}
74
75@Article{	  rupp:2016:pis:2988256.2907944,
76  author	= {Karl Rupp and Josef Weinbub and Ansgar J\"{u}ngel and Tibor Grasser},
77  title		= {Pipelined Iterative Solvers with Kernel Fusion for Graphics Processing Units},
78  journal	= {ACM Trans. Math. Softw.},
79  issue_date	= {September 2016},
80  volume	= {43},
81  number	= {2},
82  month		= {Aug},
83  year		= {2016},
84  issn		= {0098-3500},
85  pages		= {11:1--11:27},
86  articleno	= {11},
87  numpages	= {27},
88  doi		= {10.1145/2907944},
89  acmid		= {2907944},
90  publisher	= {ACM},
91  address	= {New York, NY, USA},
92  keywords	= {BiCGStab method, CUDA, GMRES method, GPU, Iterative solvers, OpenCL, conjugate
93		  gradient method},
94  petsc_uses	= {KSP}
95}
96
97@Article{	  dalcin2011parallel,
98  title		= {Parallel distributed computing using python},
99  author	= {Dalcin, Lisandro D and Paz, Rodrigo R and Kler, Pablo A and Cosimo, Alejandro},
100  journal	= {Advances in Water Resources},
101  volume	= {34},
102  number	= {9},
103  pages		= {1124--1139},
104  year		= {2011},
105  publisher	= {Elsevier},
106  petsc_uses	= {KSP}
107}
108
109@Article{	  mendezpongaortiz2018,
110  title		= {Diffusive molecular dynamics simulations of lithiation of silicon nanopillars},
111  author	= {JP Mendez and M Ponga and M Ortiz},
112  journal	= {Journal of the Mechanics and Physics of Solids},
113  year		= {2018},
114  petsc_uses	= {KSP}
115}
116
117@TechReport{	  morgan2020evaluation,
118  title		= {Evaluation of {PETS}c on a Heterogeneous Architecture, the {OLCF} {S}ummit
119		  System: Part 1: Vector Node Performance},
120  author	= {Morgan, Hannah Mairs and Mills, Richard Tran and Smith, Barry},
121  year		= {2020},
122  institution	= {Argonne National Laboratory},
123  url		= {https://publications.anl.gov/anlpubs/2020/04/159190.pdf},
124  petsc_uses	= {KSP}
125}
126
127@TechReport{	  pdeconstrainedspectraladjoints,
128  title		= {PDE constrained optimization, error estimation and control with spectral elements
129		  using PETSc and TAO},
130  author	= {Oana Marin and Emil Constantinescu and Barry Smith},
131  type		= {Preprint},
132  number	= {ANL/MCS-P9031-1117},
133  institution	= {ANL},
134  month		= {November},
135  year		= {2017},
136  petsc_uses	= {KSP}
137}
138
139@InProceedings{	  asc2013,
140  author	= {S. Abhyankar and B. F. Smith and E. Constantinescu},
141  title		= {Evaluation of overlapping restricted additive Schwarz preconditioning for
142		  parallel solution of very large power flow problems},
143  booktitle	= {HiPCNA-PG’13},
144  year		= {2013},
145  petsc_uses	= {KSP}
146}
147
148@InProceedings{	  as2013,
149  author	= {S. Abhyankar and B. F. Smith},
150  title		= {{PETSc:} An Advanced Math and Computing Framework for Rapidly Developing Parallel
151		  Smart Grid Applications},
152  booktitle	= {Proceedings of the IEEE PES General Meeting},
153  year		= {2013},
154  petsc_uses	= {KSP}
155}
156
157@TechReport{	  tspaper,
158  title		= {{PETSc/TS}: A Modern Scalable {DAE/ODE} Solver Library},
159  author	= {Shrirang Abhyankar and Jed Brown and Emil Constantinescu and Debojyoti Ghosh and
160		  Barry F. Smith},
161  type		= {Preprint},
162  number	= {ANL/MCS-P5061-0114},
163  institution	= {ANL},
164  month		= {January},
165  year		= {2014},
166  petsc_uses	= {KSP}
167}
168
169@TechReport{	  abhyankaretal2018,
170  author	= {Shrirang Abhyankar and Jed Brown and Emil M. Constantinescu and Debojyoti Ghosh
171		  and Barry F. Smith and Hong Zhang},
172  title		= {{PETSc/TS}: {A} Modern Scalable {ODE/DAE} Solver Library},
173  journal	= {arXiv e-preprints},
174  eprint	= {1806.01437},
175  archiveprefix	= {arXiv},
176  year		= {2018},
177  petsc_uses	= {KSP}
178}
179
180@Article{	  zhang2021cams,
181  title		= {Optimal checkpointing for adjoint multistage time-stepping schemes},
182  author	= {Hong Zhang and Emil M. Constantinescu},
183  journal	= {arXiv e-preprints},
184  eprint	= {2202.11890},
185  archiveprefix	= {arXiv},
186  year		= {2022},
187  petsc_uses	= {KSP}
188}
189
190@InProceedings{	  zhangconstantinescu2021b,
191  title		= {Revolve-based adjoint checkpointing for multistage time integration},
192  author	= {Hong Zhang and Emil M. Constantinescu},
193  booktitle	= {Proceedings of the International Conference on Computational Science (ICCS)},
194  month		= {June},
195  year		= {2021},
196  petsc_uses	= {KSP}
197}
198
199@Article{	  zhang2022tsadjoint,
200  author	= {Zhang, Hong and Constantinescu, Emil M. and Smith, Barry F.},
201  title		= {{PETSc TSAdjoint: A Discrete Adjoint ODE Solver for First-Order and Second-Order
202		  Sensitivity Analysis}},
203  journal	= {SIAM Journal on Scientific Computing},
204  volume	= {44},
205  number	= {1},
206  pages		= {C1-C24},
207  year		= {2022},
208  doi		= {10.1137/21M140078X},
209  petsc_uses	= {KSP}
210}
211
212@TechReport{	  bb2008,
213  author	= {Tomasz Blachowicz and Bartlomiej Baron},
214  title		= {A graphical extension for the Windows version of the Parallel Finite Element
215		  Micromagnetics Package (MagParExt)},
216  url		= {http://arxiv.org/abs/0807.2655},
217  year		= {2008},
218  petsc_uses	= {KSP}
219}
220
221@Article{	  jacvgv2008,
222  author	= {R. Y. Jaafar and A Asenjo and O Chubykalo-Fesenko and M Vazquez and E M Gonzalez
223		  and J L Vicent},
224  title		= {Field induced vortex dynamics in magnetic Ni nanotriangles},
225  journal	= {Nanotechnology},
226  volume	= {19},
227  year		= {2008},
228  doi		= {10.1088/0957-4484/19/28/285717},
229  petsc_uses	= {KSP}
230}
231
232@Article{	  yjdwh2008,
233  author	= {Lin Yuan and Jianjun Jiang and Gang Du and Zhongyou Wang and Huahui He},
234  title		= {Micromagnetic Simulation of Magnetic Particles with Surface Anisotropy},
235  journal	= {Journal of the Magnetics Society of Japan},
236  volume	= {32},
237  year		= {2008},
238  pages		= {50-53},
239  url		= {http://www.jstage.jst.go.jp/article/msjmag/32/2_1/32_50/_article},
240  petsc_uses	= {KSP}
241}
242
243@Article{	  mtrtrsa2008,
244  author	= {D. Makarov and S. Tibus and C. T. Rettner and T. Thomson and B. D. Terris and T.
245		  Schrefl and M. Albrecht},
246  title		= {Magnetic strip patterns induced by focused ion beam irradiation},
247  journal	= {J. Appl. Phys.},
248  volume	= {103},
249  year		= {2008},
250  doi		= {10.1063/1.2894587},
251  petsc_uses	= {KSP}
252}
253
254@InProceedings{	  tmrttsa2008,
255  author	= {S. Tibus and D. Makarov and C. T. Rettner and T. Thomson and B. D. Terris and T.
256		  Schrefl and M. Albrecht},
257  title		= {Patterning of magnetic films by focused ion beam irradiation},
258  booktitle	= {Intermag 2008 paper no. CM-05, submitted to IEEE Trans. Magn.},
259  year		= {2008},
260  petsc_uses	= {KSP}
261}
262
263@Article{	  yjdbh2007,
264  author	= {Lin Yuan and Jianju Jiang and Yongjiang di and Shaowei Bie and Huahui He},
265  title		= {Micromagnetic simulation of the magnetic dispersion angle and effective damping
266		  factor for the single-phase soft magnetic films},
267  journal	= {J. Magn. Magn. Mater.},
268  volume	= {320},
269  number	= {7},
270  pages		= {1393-1397},
271  doi		= {10.1016/j.jmmm.2007.11.025},
272  petsc_uses	= {KSP}
273}
274
275@Article{	  lxky2007,
276  author	= {DENG Lian-wen and HUANG Xiao-zhong and ZH0U Ke-sheng and YANG},
277  title		= {Micromagnetic simulation and experimental study on microwave permeability of
278		  nano-magnetic films},
279  journal	= {Transactions of Nonferrous Metals Society of China},
280  year		= {2007},
281  pages		= {756-759},
282  url		= {http://www.ysxbcn.com/icnfm2007/part2B/s0756.pdf},
283  petsc_uses	= {KSP}
284}
285
286@Article{	  yjdwh2008a,
287  author	= {Lin Yuan and Jianjun Jiang and Gang Du and Zhongyou Wang and Huahui He},
288  title		= {Micromagnetic Simulation of Magnetic Particles with Surface Anisotropy},
289  journal	= {Journal of the Magnetics Society of Japan},
290  volume	= {32},
291  year		= {2008},
292  pages		= {50-53},
293  doi		= {10.3379/msjmag.32.50},
294  petsc_uses	= {KSP}
295}
296
297@Article{	  lylw2007,
298  author	= {Ching-Ming Lee and L. X. Ye and J. M. Lee and Te-Ho Wu},
299  title		= {Micromagnetic study of magnetization reversal in patterned DyFeCo thin films},
300  journal	= {Phys. Stat. Sol.},
301  volume	= {204},
302  number	= {12},
303  pages		= {4049-4052},
304  year		= {2007},
305  doi		= {10.1002/pssa.200777359},
306  petsc_uses	= {KSP}
307}
308
309@InProceedings{	  sg2007,
310  author	= {Simon Greaves},
311  title		= {Micromagnetic Simulations of Magnetic Recording Media},
312  booktitle	= {High Performance Computing on Vector Systems 2007},
313  doi		= {10.1007/978-3-540-74384-2_17},
314  petsc_uses	= {KSP}
315}
316
317@Article{	  bsc2007,
318  author	= {Nadjib Benatmane and Werner Scholz and T.W. Clinton},
319  title		= {Magnetic Configurations and Phase Diagrams of sub-100 nm NiFe Nanorings},
320  journal	= {IEEE Trans. Magn.},
321  volume	= {43},
322  year		= {2007},
323  pages		= {2884-2886},
324  doi		= {10.1109/TMAG.2007.892867},
325  petsc_uses	= {KSP}
326}
327
328@Article{	  ffbf,
329  author	= {T. Fischbacher and M. Franchin and G. Bordignon and H. Fangohr},
330  title		= {A Systematic Approach to Multiphysics Extensions of Finite-Element-Based
331		  Micromagnetic Simulations: Nmag.},
332  journal	= {IEEE Trans. Magn. Volume},
333  volume	= {43},
334  pages		= {2896-2898},
335  doi		= {10.1109/TMAG.2007.893843},
336  petsc_uses	= {KSP}
337}
338
339@InBook{	  dfssfs2006,
340  author	= {R. Dittrich and J. Fidler and D. Suess and W. Schol and H. Forster, T. Schrefl},
341  chapter	= {Computational Aspects of Micromagnetics},
342  title		= {The Science of Hysteresis},
343  editor	= { G. Bertotti and I. Mayergoyz},
344  url		= {http://books.elsevier.com/us/elsevier/us/subindex.asp?maintarget=&isbn=0124808743},
345  petsc_uses	= {KSP}
346}
347
348@InBook{	  fss,
349  author	= {J. Fidler and T. Schrefl and W. Scholz},
350  chapter	= {Computational Micromagnetics},
351  title		= {Handbook of Theoretical and Computational Nanotechnology},
352  editor	= {M. Rieth and W. Schommers},
353  url		= {http://www.amazon.com/gp/product/158883042X},
354  petsc_uses	= {KSP}
355}
356
357@InBook{	  shbsef,
358  author	= {Thomas Schrefl and Gino Hrkac and Simon Bance and Dieter Suess and Otmar Ertl and
359		  Josef Fidler},
360  chapter	= {Numerical Methods in Micromagnetics (Finite Element Method)},
361  title		= {Handbook of Magnetism and Advanced Magnetic Materials},
362  editor	= {Helmut Kronmueller and Stuart Parkin},
363  doi		= {10.1002/9780470022184.hmm203},
364  petsc_uses	= {KSP}
365}
366
367@InBook{	  sfs,
368  author	= {D. Suess and J. Fidler and T. Schrefl},
369  chapter	= {Micromagnetic Simulation of magnetic materials},
370  title		= {Handbook of Magnetic Materials},
371  editor	= {K. H. J. Buschow},
372  url		= {http://www.amazon.com/gp/product/0444518509},
373  petsc_uses	= {KSP}
374}
375
376@Article{	  fsxzs,
377  author	= {J. Fernandez-de-Castro and Xiao Shen and Jianhua Xue and Yuming Zhou and S.
378		  Sharma},
379  title		= {Writer Flux Closure and Transition Degradation Mechanism in Perpendicular
380		  Recording.},
381  journal	= {IEEE Trans. Magn. Volume},
382  volume	= {43},
383  pages		= {2175-2177},
384  doi		= {10.1109/TMAG.2007.893122},
385  petsc_uses	= {KSP}
386}
387
388@Article{	  sb2006,
389  author	= {W. Scholz and S. Batra},
390  title		= {Effect of write current waveform on magnetization and head field dynamics of
391		  perpendicular recording heads},
392  journal	= {IEEE Trans. Magn.},
393  volume	= {42},
394  year		= {2006},
395  pages		= {2264--2266},
396  url		= {http://magnet.atp.tuwien.ac.at/scholz/projects/papers/ieee/scholz_2006_42_2264.pdf},
397  petsc_uses	= {KSP}
398}
399
400@Article{	  bsr2006,
401  author	= {S. Batra and W. Scholz and T. Roscamp},
402  title		= {Effect of thermal fluctuation field on the noise performance of a perpendicular
403		  recording system},
404  journal	= {J. Appl. Phys.},
405  volume	= {99},
406  year		= {2006},
407  url		= {http://magnet.atp.tuwien.ac.at/scholz/projects/papers/jap/batra_2006_99.pdf},
408  petsc_uses	= {KSP}
409}
410
411@InProceedings{	  japios2006,
412  author	= {F. Johnson and S. Amancherla and G.J. Parker and L.E. Iorio and P.R.
413		  Subramanian},
414  title		= {Micromagnetic simulations of the dependence of domain wall width with grain size
415		  in systems with cubic and uniaxial anisotropy.},
416  booktitle	= {Intermag 2006 Conference},
417  petsc_uses	= {KSP}
418}
419
420@Article{	  kbmb2006,
421  author	= {A. Kaya and M. Benakli and M.L. Mallary and J.A. Bain},
422  title		= {A Micromagnetic Study of the Effect of Spatial Variations in Damping in
423		  Perpendicular Recording Heads},
424  journal	= {IEEE Trans. Magn.},
425  volume	= {42},
426  year		= {2006},
427  pages		= {2428--2430},
428  doi		= {10.1109/TMAG.2006.879430},
429  petsc_uses	= {KSP}
430}
431
432@Article{	  cclcw2006,
433  author	= {C. C. Chang and Y. C. Chang and C. M. Lee and C. C. Chen and J. Wu},
434  title		= {Control of Domain Wall Motion in Permalloy Ring},
435  journal	= {IEEE Trans. Magn.},
436  volume	= {42},
437  year		= {2006},
438  pages		= {2960--2962},
439  doi		= {10.1109/TMAG.2006.878414},
440  petsc_uses	= {KSP}
441}
442
443@Article{	  bfmfzczg2007,
444  author	= {Richard P. Boardman and Hans Fangohr and Matthew J. Fairman and J. Zimmermann and
445		  Simon J. Cox and Alexander A. Zhukov and Peter A.J. de Groot},
446  title		= {Micromagnetic modelling of ferromagnetic cones},
447  journal	= {J. Magn. Magn. Mater.},
448  volume	= {312},
449  year		= {2007},
450  pages		= {234-238},
451  url		= {http://eprints.soton.ac.uk/45900/},
452  petsc_uses	= {KSP}
453}
454
455@PhDThesis{	  rb2005,
456  author	= {Richard Boardman},
457  title		= {Computer simulation studies of magnetic nanostructures},
458  school	= {Computational Engineering and Design Group, School of Engineering Sciences,
459		  University of Southampton, United Kingdom},
460  year		= {2005},
461  url		= {http://www.soton.ac.uk/~rpb/thesis.pdf},
462  petsc_uses	= {KSP}
463}
464
465@InProceedings{	  cwwy2006,
466  author	= {I-Hsin Chung and Robert E. Walkup and Hui-Fang Wen and Hao Yu},
467  title		= {MPI Performance Analysis Tools on Blue Gene/L},
468  booktitle	= {ACM/IEEE SC 2006 Conference (SC'06)},
469  year		= {2006},
470  url		= {http://sc06.supercomputing.org/schedule/pdf/pap159.pdf},
471  petsc_uses	= {KSP}
472}
473
474@InProceedings{	  ch2006,
475  author	= {I.-H. Chung and J.K. Hollingsworth},
476  title		= {A Case Study Using Automatic Performance Tuning for Large-Scale Scientific
477		  Programs},
478  booktitle	= {High Performance Distributed Computing, 2006 15th IEEE International Symposium},
479  pages		= {45--56},
480  doi		= {10.1109/HPDC.2006.1652135},
481  petsc_uses	= {KSP}
482}
483
484@Article{	  lkpl2005,
485  author	= {C. K. Lim and Y. S. Kim and N. Y. Park and J. Lee},
486  title		= {Multibit MRAM using a pair of memory cells},
487  journal	= {IEEE Trans. Magn.},
488  volume	= {41},
489  year		= {2005},
490  pages		= {2670-2672},
491  doi		= {10.1109/TMAG.2005.855288},
492  petsc_uses	= {KSP}
493}
494
495@Article{	  gscn2005,
496  author	= {K. Yu. Guslienko and W. Scholz and R. W. Chantrell and V. Novosad},
497  title		= {Vortex state oscillations in soft magnetic cylindrical dots},
498  journal	= {Phys. Rev. B},
499  volume	= {71},
500  year		= {2005},
501  doi		= {10.1103/PhysRevB.71.144407},
502  petsc_uses	= {KSP}
503}
504
505@PhDThesis{	  mda,
506  author	= {Massimiliano d'Aquino},
507  title		= {Nonlinear Magnetization Dynamics in Thin-Films and Nanoparticles},
508  school	= { Universita di Napoli Federico II.},
509  url		= {http://www.fedoa.unina.it/148/01/d_Aquino_thesis.pdf},
510  petsc_uses	= {KSP}
511}
512
513@TechReport{	  ssdfssf2003,
514  author	= {T. Schrefl and W. Scholz and R. Dittrich and H. Forster and D. Suess and M.
515		  Stehno and J. Fidler},
516  title		= {Micromagnetic Simulations of Domainstructures in Softmagnetic Thin Films},
517  url		= {http://www.zid.tuwien.ac.at/projekte/2003/03-138-1.html},
518  petsc_uses	= {KSP}
519}
520
521@InProceedings{	  sb2006a,
522  author	= {W. Scholz and S. Batra},
523  title		= {Effect of write current waveform on magnetization and head field dynamics of
524		  perpendicular recording heads},
525  booktitle	= {Intermag 2006 Conference, San Diego, CA, paper no. EF-03},
526  petsc_uses	= {KSP}
527}
528
529@Article{	  scholz-batra1,
530  author	= {W. Scholz and S. Batra},
531  title		= {Micromagnetic Simulation of Head Field and Write Bubble Dynamics in Perpendicular
532		  Recording},
533  journal	= {IEEE Trans. Magn.},
534  note		= {submitted},
535  year		= {2005},
536  petsc_uses	= {KSP}
537}
538
539@Article{	  scholz-batra2,
540  author	= {W. Scholz and S. Batra},
541  title		= {Micromagnetic Modeling of Head Field Rise Time for High Data-Rate Recording},
542  journal	= {IEEE Trans. Magn.},
543  volume	= {41},
544  year		= {2005},
545  pages		= {702-706},
546  petsc_uses	= {KSP}
547}
548
549@Article{	  daquino-scholz1,
550  author	= {M. d'Aquino and W. Scholz and T. Schrefl and C. Serpico and J. Fidler},
551  title		= {Micromagnetic Analysis of Fast Precessional Switching},
552  journal	= {J. Magn. Magn. Mater.},
553  volume	= {290-291},
554  year		= {2005},
555  pages		= {510-513},
556  petsc_uses	= {KSP}
557}
558
559@Article{	  aq-scholz-fid,
560  author	= {M. d'Aquino and W. Scholz and T. Schrefl and C. Serpico and J. Fidler},
561  title		= {Numerical and analytical study of fast precessional switching},
562  journal	= {J. Appl. Phys.},
563  volume	= {95},
564  year		= {2004},
565  pages		= {7055-7057},
566  petsc_uses	= {KSP}
567}
568
569@InProceedings{	  gar-tabik-gar,
570  author	= {E. M. Garzon and S. Tabik and I. Garcia and A. R. Bretones},
571  title		= {Multiprocessing of the Time Domain Analysis of Thin-Wire Antennas and
572		  Scatterers},
573  booktitle	= {12th Euromicro Conference on Parallel, Distributed and Network-Based Processing
574		  (PDP'04)},
575  year		= {2004},
576  pages		= {80--},
577  petsc_uses	= {KSP}
578}
579
580@InProceedings{	  aq-scholz-mia,
581  author	= {M. d'Aquino and W. Scholz and T. Schrefl and C. Serpico and G. Miano},
582  title		= {Analysis of fast precessional switching in magnetic thin films},
583  booktitle	= {Proceedings of PIERS (Progress In Electromagnetic Research Symposium)},
584  year		= {2004},
585  pages		= {257-260},
586  petsc_uses	= {KSP}
587}
588
589@Article{	  scholz-fid-seus,
590  author	= {W. Scholz and J. Fidler and T. Schrefl and D. Suess and H. Forster and R.
591		  Dittrich and V. Tsiantos},
592  title		= {Numerical Micromagnetic Simulation of Fe-Pt Nanoparticles with Multiple Easy
593		  Axes},
594  journal	= {J. Magn. Magn. Mater.},
595  year		= {2004},
596  pages		= {1524-1525},
597  petsc_uses	= {KSP}
598}
599
600@Article{	  boardman-zimmerman,
601  author	= {Richard Boardman and Juergen Zimmermann and Hans Fangohr and Alexander Zhukov and
602		  Peter de Groot},
603  title		= {Micromagnetic simulation studies of ferromagnetic part-spheres},
604  journal	= {Journal of Applied Physics},
605  year		= {2005},
606  petsc_uses	= {KSP}
607}
608
609@Article{	  lim-kim-park,
610  author	= {C. K. Lim and Y. S. Kim and N. Y. Park and J. Lee},
611  title		= {High Density Magnetic Random Access Memory Using a Pair of Asymmetrical Cell},
612  journal	= {IEEE Trans. Magn.},
613  note		= {submitted},
614  petsc_uses	= {KSP}
615}
616
617@Article{	  scholz-suess2,
618  author	= {W. Scholz and D. Suess and T. Schrefl and and J. Fidler},
619  title		= {Micromagnetic simulation of magnetization reversal in small particles with
620		  surface anisotropy},
621  journal	= {J. Appl. Phys.},
622  volume	= {95},
623  year		= {2004},
624  pages		= {6807-6809},
625  petsc_uses	= {KSP}
626}
627
628@Article{	  scholz-schrefl1,
629  author	= {W. Scholz and T. Schrefl and J. Fidler and T. Matthias and D. Suess and V.
630		  Tsiantos},
631  title		= {Micromagnetic simulation of the pinning and depinning process in permanent
632		  magnets},
633  journal	= {IEEE Trans. Magn.},
634  volume	= {39},
635  year		= {2003},
636  pages		= {2920-2922},
637  petsc_uses	= {KSP}
638}
639
640@Article{	  scholz-guslienko,
641  author	= {W. Scholz and K. Y. Guslienko and V. Novosad and D. Suess and T. Schrefl and R.
642		  W. Chantrell and J. Fidler},
643  title		= {Transition from single-domain to vortex state in soft magnetic cylindrical
644		  nanodots},
645  journal	= {J. Magn. Magn. Mater.},
646  volume	= {266},
647  year		= {2003},
648  pages		= {155-163},
649  petsc_uses	= {KSP}
650}
651
652@Article{	  scholz1,
653  author	= { W. Scholz and J. Fidler and T. Schrefl and D. Suess and R. Dittrich and H.
654		  Forster and V. Tsiantos},
655  title		= {Scalable Parallel Micromagnetic Solvers for Magnetic Nanostructures},
656  journal	= {Comp. Mat. Sci},
657  year		= {2003},
658  pages		= {366--383},
659  volume	= {28},
660  url		= {http://magnet.atp.tuwien.ac.at/scholz/projects/papers/preprint/scholz/cms03/magpar.pdf},
661  petsc_uses	= {KSP}
662}
663
664@PhDThesis{	  scholz2,
665  author	= {W. Scholz},
666  title		= {Scalable Parallel Micromagnetic Solvers for Magnetic Nanostructures},
667  school	= {Vienna University of Technology, Vienna, Austria},
668  year		= {2003},
669  petsc_uses	= {KSP}
670}
671
672@Article{	  scholz3,
673  author	= {W. Scholz and D. Suess and R. Dittrich and T. Schrefl and V. Tsiantos and H.
674		  Forster and J. Fidler},
675  title		= {Implementation of a high performance parallel finite element micromagnetics
676		  package},
677  journal	= {J. Magn. Magn. Mater.},
678  year		= {2004},
679  url		= {http://magnet.atp.tuwien.ac.at/scholz/projects/papers/preprint/scholz/icm2003/scholz_petsc.pdf},
680  petsc_uses	= {KSP}
681}
682
683% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
684@InBook{	  zhanggladwell1,
685  author	= {W. Zhang and I. Gladwell},
686  chapter	= {Performance of MOL for Surface Motion Driven by a Laplacian of Curvature},
687  editor	= {Z. Chen and R.E. Ewing and Z.-C. Shi},
688  year		= {2000},
689  title		= {Numerical Treatment of Multiphase Flows in Porous Media, Lecture Notes in
690		  Physics, vol. 552},
691  publisher	= {Springer},
692  pages		= {4190-},
693  petsc_uses	= {KSP}
694}
695
696@Article{	  wolf1,
697  author	= {A. J. Haslan and D. Moldovan and S. R. Phillpot and V. Yamakov},
698  title		= {Combined Atomistic and Mesoscale simulation of grain growth in nanocrystalline
699		  thin films},
700  journal	= {Phil. Mag. A},
701  year		= {2003},
702  lab		= {ANL},
703  petsc_uses	= {KSP}
704}
705
706@Article{	  wolf2,
707  author	= {A. J. Haslan and D. Moldovan and S. R. Phillpot and H. Gleiter},
708  title		= {Mesoscopic simulation of two dimensional grain growth with anisotropic
709		  grain-boundary properties},
710  journal	= {Computational Materials Science},
711  year		= {2001},
712  volume	= {23},
713  pages		= {15--32},
714  lab		= {ANL},
715  petsc_uses	= {KSP}
716}
717
718@Article{	  wolf3,
719  author	= {D. Moldovan and S. R. Phillpot and A. J. Haslan},
720  title		= {Role of grain rotation in grain growth by mesoscale simulation},
721  journal	= {Phil. Mag. A},
722  year		= {2002},
723  volume	= {82},
724  pages		= {1271--1297},
725  lab		= {ANL},
726  petsc_uses	= {KSP}
727}
728
729% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
730@Article{	  saut,
731  author	= { Olivier Saut},
732  title		= {Bidimensional Study of the Maxwell-Bloch Model in a Nonlinear Crystal},
733  journal	= {SIAM Journal on Scientific Computing},
734  year		= {2004},
735  note		= {submitted},
736  url		= {http://mip.ups-tlse.fr/\~{ }saut/data/sisc04.pdf},
737  petsc_uses	= {KSP}
738}
739
740% LiteralHTML:
741% LiteralHTML:  <a name="biology"><H3><center>Biology -- Medical</center></H3>
742% LiteralHTML:
743@InBook{	  khanallorenziayachepennec2016,
744  title		= {Simulating Patient Specific Multiple Time-Point {MRIs} from a Biophysical Model
745		  of Brain Deformation in {Alzheimer's} Disease},
746  booktitle	= {Computational Biomechanics for Medicine: Imaging, Modeling and Computing},
747  author	= {Bishesh Khanal and Marco Lorenzi and Nicholas Ayache and Xavier Pennec},
748  editor	= {Grand R. Joldes and Barry Doyle and Adam Wittek and Poul M.F. Nielsen and Karol
749		  Miller},
750  pages		= {167--176},
751  isbn		= {978-3-319-28329-6},
752  doi		= {10.1007/978-3-319-28329-6_15},
753  publisher	= {Springer International Publishing},
754  year		= {2016},
755  petsc_uses	= {KSP}
756}
757
758@Article{	  ataseven,
759  author	= {Y. Ataseven and Z. Akaliota n-Acar and C.~E. Acar and N. G. Gen\c{c}er},
760  title		= {Parallel implementation of the accelerated BEM approach for EMSI of the human
761		  brain},
762  journal	= {Medical and Biological Engineering and Computing},
763  month		= {February},
764  year		= {2008},
765  doi		= {10.1007/s11517-008-0316-0},
766  petsc_uses	= {KSP}
767}
768
769@Article{	  dennis-eberhart-03,
770  author	= {B. H. Dennis and R. C. Eberhart and G. S. Dulikravich and S.W. Radons},
771  pages		= {832-840},
772  volume	= {125},
773  number	= {6},
774  title		= {Finite-element simulation of cooling of realistic 3-D human head and neck},
775  journal	= {J Biomech Eng},
776  year		= {2003},
777  url		= {http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&list_uids=14986408&dopt=Citation},
778  petsc_uses	= {KSP}
779}
780
781@Conference{	  gu7174parallel,
782  title		= {{A parallel reduced-space sequential-quadratic programming algorithm for
783		  frequency-domain small animal optical tomography}},
784  author	= {Gu, X. and Kim, H.K. and Masciotti, J. and Hielscher, A.H.},
785  booktitle	= {Proc. of SPIE Vol},
786  volume	= {7174},
787  number	= {717406},
788  pages		= {1},
789  petsc_uses	= {KSP}
790}
791
792@Article{	  barchanski2005using,
793  title		= {{Using domain decomposition techniques for the calculation of low-frequency
794		  electric current densities in high-resolution 3D human anatomy models}},
795  author	= {Barchanski, A. and Clemens, M. and De Gersem, H. and Steiner, T. and Weiland,
796		  T.},
797  journal	= {COMPEL: The International Journal for Computation and Mathematics in Electrical
798		  and Electronic Engineering},
799  volume	= {24},
800  number	= {2},
801  pages		= {458--467},
802  issn		= {0332-1649},
803  year		= {2005},
804  publisher	= {Emerald Group Publishing Limited},
805  petsc_uses	= {KSP}
806}
807
808@Article{	  motrescurienen05,
809  author	= {V. C. Motrescu and U. van Rienen},
810  pages		= {227--231},
811  volume	= {3},
812  title		= {Computation of currents induced by ELF electric fields in anisotropic human
813		  tissues using the Finite Integration Technique},
814  journal	= {Advances in Radio Science},
815  year		= {2005},
816  url		= {http://www.copernicus.org/URSI/ars/3/ars-3-227.pdf},
817  petsc_uses	= {KSP}
818}
819
820@Article{	  motrescurienen04,
821  author	= {V. C. Motrescu and U. van Rienen},
822  pages		= {309--313},
823  volume	= {2},
824  title		= {Computation of electrostatic fields in anisotropic human tissues using the Finite
825		  Integration Technique (FIT)},
826  journal	= {Advances in Radio Science},
827  year		= {2004},
828  url		= {http://www.copernicus.org/URSI/ars/ARS_2_1/309.pdf},
829  petsc_uses	= {KSP}
830}
831
832@InProceedings{	  dbl2,
833  author	= {Enzo A. Dari and Mariano I. Cantero and Raul A. Feijoo},
834  title		= {Computational arterial flow modeling using a parallel {Navier-Stokes} solver},
835  booktitle	= {ECCOMAS2000},
836  year		= {2000},
837  url		= {http://146.134.8.133/Feijoo/CModComplexos/Conferencias/ECCOMAS2000/Darie/eccomas.html},
838  petsc_uses	= {KSP}
839}
840
841@Unpublished{	  cell,
842  title		= {Parallel Simulation Engines for Whole-Cell Models},
843  author	= {Markus Schwehm and Nils Gehlenborg and Hendrik Post and Amelie Stein and Kirstin
844		  Weber},
845  note		= {Poster at Second International Conference on Systems Biology (ICSB) 2001},
846  url		= {http://www.icsb-2001.org/Posters/110_schwehm2.pdf},
847  institution	= {University of Tubingen, ZBIT - Zentrum fur Bioinformatik Tubingen},
848  year		= {2001},
849  petsc_uses	= {KSP}
850}
851
852@Article{	  barker2010two,
853  title		= {Two-level Newton and hybrid Schwarz preconditioners for fluid-structure
854		  interaction},
855  author	= {Barker, A.T. and Cai, X.C.},
856  journal	= {SIAM Journal on Scientific Computing},
857  volume	= {32},
858  number	= {4},
859  pages		= {2395--2417},
860  year		= {2010},
861  publisher	= {Society for Industrial and Applied Mathematics},
862  petsc_uses	= {KSP}
863}
864
865@Article{	  barker2010scalable,
866  title		= {Scalable parallel methods for monolithic coupling in fluid-structure interaction
867		  with application to blood flow modeling},
868  author	= {Barker, A.T. and Cai, X.C.},
869  journal	= {Journal of Computational Physics},
870  volume	= {229},
871  number	= {3},
872  pages		= {642--659},
873  year		= {2010},
874  publisher	= {Elsevier},
875  petsc_uses	= {KSP}
876}
877
878@Article{	  barker2009nks,
879  title		= {NKS for fully coupled fluid-structure interaction with application},
880  author	= {Barker, A.T. and Cai, X.C.},
881  journal	= {Domain Decomposition Methods in Science and Engineering XVIII},
882  pages		= {275--282},
883  year		= {2009},
884  publisher	= {Springer},
885  petsc_uses	= {KSP}
886}
887
888@Article{	  mirams2013,
889  author	= {Chris Luscombe and Geoff Williams and Jordi Munoz-Muriedas and David J Gavaghan
890		  and Yi Cui and Gary R Mirams},
891  title		= {Evaluation of an in silico cardiac safety assay: using ion channel screening data
892		  to predict QT interval changes in the rabbit ventricular wedge},
893  journal	= {Journal of pharmacological and toxicological methods},
894  volume	= {68},
895  number	= {1},
896  pages		= {88--96},
897  year		= {2013},
898  doi		= {10.1016/j.vascn.2013.04.004},
899  petsc_uses	= {KSP}
900}
901
902% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
903% LiteralHTML: <center><img  alt=""
904% LiteralHTML: src="images/spine0l.jpg"></center></p>
905% LiteralHTML: <center><img  alt=""
906% LiteralHTML: src="images/vertebra.jpg"></center></p>
907% LiteralHTML:<font color="#FF0000">
908% LiteralHTML:Treating fractures of the hip and spine is a major medical cost.
909% LiteralHTML:Understanding bone mechanical properties and how they may lead to
910% LiteralHTML:fractures is thus an important medical research activity. PETSc and
911% LiteralHTML:Prometheus have been used for extremely large scale finite element
912% LiteralHTML:simulation of the solid mechanics of a portion of a human spine by a
913% LiteralHTML:team of doctors and computational scientists. This computation was
914% LiteralHTML:a winner of a Gordon Bell Special Prize at SC2004 and ran scalably
915% LiteralHTML:with over 4000 processors.</p>
916% LiteralHTML: </font>
917@Article{	  arbenz2008scalable,
918  title		= {A scalable multi-level preconditioner for matrix-free $\mu$-finite element
919		  analysis of human bone structures},
920  author	= {Arbenz, P. and van Lenthe, G.H. and Mennel, U. and M{\\"u}ller, R. and Sala, M.},
921  journal	= {International Journal for Numerical Methods in Engineering},
922  volume	= {73},
923  number	= {7},
924  pages		= {927--947},
925  year		= {2008},
926  publisher	= {Wiley Online Library},
927  petsc_uses	= {KSP}
928}
929
930@InProceedings{	  adams-04,
931  author	= {Adams, M.~F. and Bayraktar, H.H. and Keaveny, T.M. and Papadopoulos, P.},
932  booktitle	= {ACM/IEEE Proceedings of SC2004: High Performance Networking and Computing},
933  title		= {Ultrascalable implicit finite element analyses in solid mechanics with over a
934		  half a billion degrees of freedom},
935  note		= {Gordon Bell Award},
936  year		= {2004},
937  petsc_uses	= {KSP}
938}
939
940@InProceedings{	  adams-03b,
941  author	= {Adams, M.~F. and Bayraktar, H.H. and Keaveny, T.M. and Papadopoulos, P.},
942  title		= {Applications of Algebraic Multigrid to Large-Scale Finite Element Analysis of
943		  Whole Bone Micro-Mechanics on the IBM SP},
944  booktitle	= {ACM/IEEE Proceedings of SC2003: High Performance Networking and Computing},
945  year		= {2003},
946  petsc_uses	= {KSP}
947}
948
949@InProceedings{	  oghattas2002,
950  author	= {Volkan Akcelik and George Biros and Omar Ghattas},
951  title		= {Parallel Multiscale {Gauss-Newton-Krylov} Methods For Inverse Wave Propagation},
952  booktitle	= {Procceedings of SC2002},
953  url		= {http://www-2.cs.cmu.edu/\~{ }oghattas/papers/sc2002.pdf},
954  note		= {Winner of SC2002 Best Paper. A parallel algorithm for inverse problems governed
955		  by time-dependent PDEs, and scalability results for an inverse wave propagation
956		  problem of determining the material field of an acoustic medium. Using the
957		  algorithm, they solved a synthetic inverse wave propagation problem though a
958		  pelvic bone geometry involving 2.1 million inversion parameters in 3 hours on 256
959		  processors.},
960  year		= {2002},
961  petsc_uses	= {KSP}
962}
963
964% LiteralHTML:  <a name="biology:cardiology">
965% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
966% LiteralHTML: <center><img  alt=""
967% LiteralHTML: src="images/heart.jpg">
968% LiteralHTML: <img  alt=""
969% LiteralHTML: src="images/pump.jpg"></center></p>
970% LiteralHTML:
971% LiteralHTML:<font color="#FF0000">
972% LiteralHTML: Arrhythmias are disorders of the regular rhythmic beating of the
973% LiteralHTML: heart; they are the cause of the majority of sudden cardiac
974% LiteralHTML: deaths. The heart beat is controlled by electrical signals moving
975% LiteralHTML: through the heart. PETSc has been used by several research groups to
976% LiteralHTML: simulate the electronic behavior of the heart in an attempt to more
977% LiteralHTML: fully understand the developments of arrhthmias.</p>
978% LiteralHTML:</font>
979@InProceedings{	  oghattas2000,
980  author	= {J. Antaki and G. Belloch and O. Ghattas and I. Malcevic and G. Miller and N.
981		  Walkington},
982  title		= {A Parallel Dynamic-Mesh Lagrangian Method for Simulation of Flows with Dynamic
983		  Interfaces},
984  booktitle	= {Procceedings of SC2000},
985  url		= {http://www.cs.cmu.edu/\~{ }oghattas/papers/sc2000/sc2000.pdf},
986  note		= {Blood flow modeling at the microscale including effects on individual blood
987		  cells, for designing heart assist pumps, etc.},
988  year		= {2000},
989  petsc_uses	= {KSP}
990}
991
992@InBook{	  cfps2006,
993  author	= {P. Colli Franzone and L. F. Pavarino and G. Savare},
994  editor	= {A. Quarteroni et al.},
995  title		= {Complex Systems in Biomedicine},
996  chapter	= {Computational Electrocardiology: mathematical and numerical modeling},
997  publisher	= {Springer-Verlag},
998  pages		= {187--241},
999  year		= {2006},
1000  petsc_uses	= {KSP}
1001}
1002
1003@InProceedings{	  cfpst2007,
1004  author	= {P. Colli Franzone and L. F. Pavarino and S. Scacchi and B. Taccardi},
1005  title		= {Determining recovery times from transmembrane action potentials and unipolar
1006		  electrograms in normal heart tissue},
1007  booktitle	= {FIMH07},
1008  publisher	= {Springer-Verlag},
1009  volume	= {4466},
1010  pages		= {139--149},
1011  year		= {2007},
1012  petsc_uses	= {KSP}
1013}
1014
1015@Article{	  seemann2010framework,
1016  title		= {{Framework for Modular, Flexible and Efficient Solving the Cardiac Bidomain
1017		  Equations Using PETSc}},
1018  author	= {Seemann, G. and Sachse, FB and Karl, M. and Weiss, DL and Heuveline, V. and
1019		  D{\\"o}ssel, O.},
1020  journal	= {Progress in Industrial Mathematics at ECMI 2008},
1021  pages		= {363--369},
1022  year		= {2010},
1023  publisher	= {Springer},
1024  petsc_uses	= {KSP}
1025}
1026
1027@InProceedings{	  pft2005,
1028  author	= {Luca F. Pavarino and Piero Colli Franzone and Bruno Taccardi},
1029  title		= {Monodomain Simulations of Excitation and Recovery in Cardiac Blocks with
1030		  Intramural Heterogeneity},
1031  booktitle	= {Functional Imaging and modeling of the Heart (FIMH05)},
1032  pages		= {267--277},
1033  editors	= {A. Frangi et al.},
1034  publisher	= {Springer, Lecture Notes in Computer Science (LNCS), v. 3504},
1035  year		= {2005},
1036  petsc_uses	= {KSP}
1037}
1038
1039@Article{	  bgcp2005,
1040  author	= {Boyce E. Griffith and Charles S. Peskin},
1041  title		= {On the order of accuracy of the immersed boundary method: Higher order
1042		  convergence rates for sufficiently smooth problems},
1043  journal	= {Journal of Computational Physics},
1044  year		= {2005},
1045  volume	= {208},
1046  pages		= {75--105},
1047  petsc_uses	= {KSP}
1048}
1049
1050@Article{	  griffith2007adaptive,
1051  title		= {An adaptive, formally second order accurate version of the immersed boundary
1052		  method},
1053  author	= {Griffith, B.E. and Hornung, R.D. and McQueen, D.M. and Peskin, C.S.},
1054  journal	= {Journal of Computational Physics},
1055  volume	= {223},
1056  number	= {1},
1057  pages		= {10--49},
1058  year		= {2007},
1059  publisher	= {Elsevier},
1060  petsc_uses	= {KSP}
1061}
1062
1063@PhDThesis{	  griffith05,
1064  author	= {Boyce Griffith},
1065  title		= {Simulating the blood-muscle-valve mechanics of the heart by an adaptive and
1066		  parallel version of the immersed boundary method},
1067  school	= {New York University},
1068  year		= {2005},
1069  petsc_uses	= {KSP}
1070}
1071
1072@PhDThesis{	  murillo,
1073  author	= {Maria S. Murillo},
1074  title		= {Parallel Algorithms and Software for Time-Dependent System of Nonlinear Partial
1075		  Differential Equations with an Application in Computational Biology},
1076  school	= {University of Colorado at Boulder},
1077  year		= {2002},
1078  petsc_uses	= {KSP}
1079}
1080
1081@Article{	  spv2004,
1082  author	= {Rodrigo Weber Dos Santos and G. Plank and S. Bauer},
1083  title		= {Parallel multigrid preconditioner for the cardiac bidomain model},
1084  journal	= {IEEE Trans. Biomed. Eng},
1085  year		= {2004},
1086  volume	= {51},
1087  pages		= {1960--1968},
1088  petsc_uses	= {KSP}
1089}
1090
1091@Article{	  vphl2003,
1092  author	= {E. J. Vigmond and M. Hughes and G. Plank, L.J. Leon},
1093  title		= { Computational Tools for Modeling Electrical Activity in Cardiac Tissue},
1094  journal	= {J. Electrocardiol.},
1095  year		= {2003},
1096  volume	= {36},
1097  pages		= {69--74},
1098  petsc_uses	= {KSP}
1099}
1100
1101@InProceedings{	  spbv2003,
1102  author	= {Rodrigo Weber Dos Santos and G. Plank and S. Bauer and and E.J. Vigmond},
1103  title		= {Preconditioning Techniques for the Bidomain Equations},
1104  booktitle	= {Proceedings of the 15th International Conference on Domain Decomposition
1105		  Methods},
1106  pages		= {571--580},
1107  publisher	= {Springer, Lecture Notes in Computational Science and Engineering (LNCSE).},
1108  note		= {},
1109  url		= {http://www.ddm.org/DD15/proceedings-dd15.html},
1110  year		= {2003},
1111  petsc_uses	= {KSP}
1112}
1113
1114@Article{	  franz-pavir-04,
1115  author	= {P. Colli Franzone and L.~F. Pavarino},
1116  title		= {A parallel solver for reaction-diffusion systems in computational
1117		  electrocardiology},
1118  journal	= {Mathematical Models and Methods in Applied Sciences},
1119  year		= {2004},
1120  volume	= {14},
1121  number	= {6},
1122  pages		= {883--912},
1123  petsc_uses	= {KSP}
1124}
1125
1126@Article{	  franz-pavir-05,
1127  author	= {P. Colli Franzone and L.~F. Pavarino and B. Taccardi},
1128  title		= {Simulating patterns of excitation, repolarization and action potential
1129		  durationwith cardiac Bidomain and Monodomain models},
1130  journal	= {Mathematical Biosciences},
1131  year		= {2005},
1132  volume	= {197},
1133  number	= {1},
1134  pages		= {35--66},
1135  petsc_uses	= {KSP}
1136}
1137
1138@Article{	  franz-pavir-06,
1139  author	= {P. Colli Franzone and L.~F. Pavarino and B. Taccardi},
1140  title		= {Effects of transmural electrical heterogeneities and electrotonic interactions on
1141		  the dispersion of cardiac repolarization and action potential duration: a
1142		  simulation study},
1143  journal	= {Mathematical Biosciences},
1144  year		= {2006},
1145  volume	= {204},
1146  number	= {1},
1147  pages		= {132--165},
1148  petsc_uses	= {KSP}
1149}
1150
1151@InProceedings{	  colli-franz-sim,
1152  author	= {P. Colli-Franzone and L.F. Pavarino and B. Taccardi},
1153  title		= {MODELING ANISOTROPIC AND HETEROGENEOUS CARDIAC MODELS: PARALLEL SIMULATIONS},
1154  booktitle	= {MEDICON and HEALTH TELEMATICS 2004, Health in the Information Society, X
1155		  Mediterranean Conference on Medical and Biological Engineering},
1156  url		= {http://cluster.mat.unimi.it/doc/Progetti/Pavarino-LF.pdf},
1157  year		= {2004},
1158  petsc_uses	= {KSP}
1159}
1160
1161@InProceedings{	  pf2003,
1162  author	= {Luca F. Pavarino and Piero Colli Franzone},
1163  title		= {Parallel Solution of Cardiac Reaction-Diffusion Models},
1164  booktitle	= {Proceedings of the 15th International Conference on Domain Decomposition
1165		  Methods},
1166  pages		= {669--776},
1167  publisher	= {Springer, Lecture Notes in Computational Science and Engineering (LNCSE).},
1168  note		= {},
1169  url		= {http://www.ddm.org/DD15/proceedings-dd15.html},
1170  year		= {2003},
1171  petsc_uses	= {KSP}
1172}
1173
1174@Article{	  maria-is04,
1175  author	= {Maria Murillo and Xiao-Chuan Cai},
1176  title		= {A fully implicit parallel algorithm for simulating the non-linear electrical
1177		  activity of the heart},
1178  journal	= {Numerical Linear Algebra with Applications},
1179  year		= {2004},
1180  volume	= {11},
1181  pages		= {261 - 277},
1182  url		= {http://www3.interscience.wiley.com/cgi-bin/abstract/107632540/ABSTRACT},
1183  petsc_uses	= {KSP}
1184}
1185
1186@Article{	  murli2007monitoring,
1187  title		= {{Monitoring and Migration of a PETSc-based Parallel Application for Medical
1188		  Imaging in a Grid computing PSE}},
1189  author	= {Murli, A. and Boccia, V. and Carracciuolo, L. and D’Amore, L. and Laccetti, G.
1190		  and Lapegna, M.},
1191  journal	= {Grid-Based Problem Solving Environments},
1192  pages		= {421--432},
1193  year		= {2007},
1194  publisher	= {Springer},
1195  petsc_uses	= {KSP}
1196}
1197
1198@Article{	  carracciuolo:2006:tpc,
1199  author	= {Carracciuolo, L. and D'Amore, L. and Murli, A.},
1200  title		= {Towards a parallel component for imaging in PETSc programming environment: a case
1201		  study in 3-D echocardiography},
1202  journal	= {Parallel Comput.},
1203  volume	= {32},
1204  issue		= {1},
1205  month		= {January},
1206  year		= {2006},
1207  issn		= {0167-8191},
1208  pages		= {67--83},
1209  numpages	= {17},
1210  doi		= {10.1016/j.parco.2005.09.001},
1211  acmid		= {1141218},
1212  publisher	= {Elsevier Science Publishers B. V.},
1213  address	= {Amsterdam, The Netherlands, The Netherlands},
1214  keywords	= {Distributed software environment, Image denoising, Non linear PDE, Parallel
1215		  component},
1216  petsc_uses	= {KSP}
1217}
1218
1219@Article{	  damore2011integration,
1220  title		= {Integration of emerging computer technologies for an efficient image sequences
1221		  analysis},
1222  journal	= {Integrated Computer-Aided Engineering },
1223  volume	= {18},
1224  number	= {4},
1225  pages		= {365 - 378},
1226  year		= {2011},
1227  note		= {},
1228  issn		= {1875-8835},
1229  doi		= {10.3233/ICA-2011-0382},
1230  url		= {http://iospress.metapress.com/content/KM614806M50TKVP7},
1231  author	= {L. D'Amore and D. Casaburi and A. Galletti and L. Marcellino and A. Murli},
1232  keywords	= {Image sequence, pipe and filters, parallel computing, multicore processors},
1233  petsc_uses	= {KSP}
1234}
1235
1236@InProceedings{	  eth_biwi_00721,
1237  author	= {K. Burckhardt and D. Szczerba and J. Brown and K. Muralidhar and and G.
1238		  Székely},
1239  title		= {Fast Implicit Simulation of Oscillatory Flow in Human Abdominal Bifurcation using
1240		  a Schur Complement Preconditioner},
1241  booktitle	= {Euro-Par 2009 Parallel Processing},
1242  year		= {2009},
1243  month		= {August},
1244  pages		= {747-759},
1245  volume	= {5704},
1246  editor	= {H. Sips and D. Epema and and H.-X. Lin},
1247  series	= {Lecture Notes in Computer Science},
1248  publisher	= {Springer},
1249  keywords	= {Aortic aneurysm, flow simulation, streamline diffusion FEM, indefinite matrix,
1250		  parallel Krylov solver},
1251  petsc_uses	= {KSP}
1252}
1253
1254% LiteralHTML:  <a name="biology:imagingandsurgery">
1255% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
1256% LiteralHTML: <center><img  alt=""
1257% LiteralHTML: src="images/brain.jpg"></center>
1258@Article{	  ganser2004deformable,
1259  title		= {A deformable digital brain atlas system according to Talairach and Tournoux},
1260  author	= {Ganser, K.A. and Dickhaus, H. and Metzner, R. and Wirtz, C.R.},
1261  journal	= {Medical Image Analysis},
1262  volume	= {8},
1263  number	= {1},
1264  pages		= {3--22},
1265  year		= {2004},
1266  publisher	= {Elsevier},
1267  petsc_uses	= {KSP}
1268}
1269
1270@Unpublished{	  taccsurgery,
1271  title		= {TACC supercomputer performs laser cancer surgery on canine},
1272  url		= {http://www.tacc.utexas.edu/research/users/features/dynamic.php?m_b_c=laser},
1273  note		= {In April, the Lonestar supercomputer at the Texas Advanced Computing Center in
1274		  Austin performed laser surgery on a dog in Houston without the intervention of a
1275		  surgeon. The treatment was developed collaboratively by computational experts from
1276		  the Institute for Computational Engineering and Sciences (ICES) at UT-Austin,
1277		  leading technologists from the M.D. Anderson Cancer Center in Houston, and
1278		  cyberinfrastructure specialists and systems from TACC. Using precise lasers,
1279		  state-of-the-art thermal imaging technology, and advanced computational methods,
1280		  dynamic, data-driven treatments are being pursued as a minimally invasive
1281		  alternative to the standard treatment of cancer.},
1282  petsc_uses	= {KSP}
1283}
1284
1285@Article{	  ffhbresso2008,
1286  author	= {Yusheng Feng and David Fuentes and Andrea Hawkins and Jon Bass and Marissa
1287		  Nichole Rylander and Andrew Elliott and Anil Shetty and R. Jason Stafford and J.
1288		  Tinsley Oden},
1289  title		= {Nanoshell-Mediated Laser Surgery Simulation for Prostate Cancer Treatment},
1290  journal	= {Engineering with Computers},
1291  note		= {Special issue on Computational Bioengineering},
1292  year		= {2008},
1293  url		= {http://www.tacc.utexas.edu/research/users/features/laser_surgery.pdf},
1294  petsc_uses	= {KSP}
1295}
1296
1297@TechReport{	  dobbhbbbdeffghkkps2008,
1298  author	= {K. R. Diller and J. T. Oden and C. Bajaj and J. C. Browne and J. Hazle and I.
1299		  Babu{\v{s}}ka and J. Bass and L. Bidaut and L. Demkowicz and A. Elliott and Y.
1300		  Feng and D. Fuentes and S. Goswami and A. Hawkins and S. Khoshnevis and B. Kwon
1301		  and S. Prudhomme and R. J. Stafford},
1302  title		= {Computational Infrastructure for the Real-Time Patient-Specific Treatment of
1303		  Cancer},
1304  year		= {2008},
1305  institution	= {University of Texas at Austin},
1306  url		= {http://www.tacc.utexas.edu/research/users/features/cancer.pdf},
1307  petsc_uses	= {KSP}
1308}
1309
1310@Article{	  ogdb2004,
1311  author	= {A.A. Oberai and N.H. Gokhale and M.M. Doyley and J.C.Bamber},
1312  title		= {Evaluation of the Adjoint Equation Based Algorithm for Elasticity Imaging},
1313  journal	= {Physics in Medicine and Biology},
1314  year		= {2004},
1315  volume	= {49},
1316  pages		= {2955--2947},
1317  petsc_uses	= {KSP}
1318}
1319
1320@InProceedings{	  majumdar11,
1321  author	= {A. Majumdar and A. Birnbaum and D. Choi and A. Trivedi and S. K. Warfield and K.
1322		  Baldridge and P. Krysl},
1323  title		= {A Dynamic Data Driven Grid System for Intra-Operative Image Guided Neurosurgery},
1324  booktitle	= {ICCS 2005},
1325  pages		= {672--679},
1326  editor	= {V.S. Sunderam et al.},
1327  year		= {2005},
1328  petsc_uses	= {KSP}
1329}
1330
1331@Conference{	  sermesant-etal:03,
1332  author	= {Sermesant, M. and Clatz, O. and Li, Z. and Lanteri, S. and Delingette, H. and
1333		  Ayache, H.},
1334  title		= {A parallel implementation of non-rigid registration using a volumetric
1335		  biomechanical model},
1336  booktitle	= {Second International Workshop on Biomedical Image Registration {WBIR'03}},
1337  address	= {Philadelphia, PA, USA},
1338  publisher	= {Springer-Verlag},
1339  editor	= {Gee, J.C. and Maintz, J.B.A. and Vannier, M.W.},
1340  series	= {Lecture Notes in Computer Science},
1341  volume	= {2717},
1342  pages		= {398-407},
1343  date		= {june 23-24},
1344  year		= {2003},
1345  url		= {ftp://ftp-sop.inria.fr/epidaure/Publications/Sermesant/WBIR2003Sermesant.pdf},
1346  petsc_uses	= {KSP}
1347}
1348
1349@Conference{	  sermesant-etal:04,
1350  author	= {J. Rexilius and S.K. Warfield and C.R.G. Guttmann and X. Wei and R. Benson and L.
1351		  Wolfson and M. Shenton and H. Handels and R. Kikinis},
1352  title		= {A Novel Nonrigid Registration Algorithm And Applications},
1353  booktitle	= {Medical Image Computing and Computer-Assisted Intervention - MICCAI 2001},
1354  address	= {Philadelphia, PA, USA},
1355  publisher	= {Springer-Verlag},
1356  editor	= {Gee, J.C. and Maintz, J.B.A. and Vannier, M.W.},
1357  series	= {Lecture Notes in Computer Science},
1358  volume	= {2208},
1359  pages		= {923},
1360  year		= {2003},
1361  url		= {http://www.springerlink.com/app/home/contribution.asp?wasp=6pgwnvthup0amt7g9j4k&referrer=parent&backto=issue,105,251;journal,1191,1949;linkingpublicationresults,1:105633,1},
1362  petsc_uses	= {KSP}
1363}
1364
1365@Article{	  warfield-haker-talos-05,
1366  author	= {Simon K. Warfield and Steven J. Haker and Ion-Florin Talos and Corey A. Kemper
1367		  and Neil Weisenfeld and Andrea U.J. Mewes and Daniel Goldberg-Zimring and Kelly H.
1368		  Zou and Carl-Fredrik Westin and William M. Wells and Clare M.C. Tempany and
1369		  Alexandra Golby and Peter M. Black and Ferenc A. Jolesz and Ron Kikinis},
1370  title		= {Capturing intraoperative deformations: research experience at Brigham and Women's
1371		  hospital},
1372  journal	= {Medical Image Analysis},
1373  url		= {http://splweb.bwh.harvard.edu:8000/pages/papers/warfield/capturing-intraoperative-deformations-MIA2005.pdf},
1374  year		= {2005},
1375  petsc_uses	= {KSP}
1376}
1377
1378@Article{	  brain3,
1379  author	= {Simon K. Warfield and Florin Talos and Alida Tei and Arya Nabavi and Matthieu
1380		  Ferrant and Peter McL. Black and Ferenc A. Jolesz and Ron Kikinis},
1381  title		= {Real-Time Registration of Volumetic Brain {MRI} by Biomechanical Simulation of
1382		  Deformation during Image Guided Neurosurgery},
1383  journal	= {Computing and Visualization in Science},
1384  url		= {http://splweb.bwh.harvard.edu:8000/pages/ppl/warfield/papers/2002/warfield-2002-cvs-appeared.pdf},
1385  year		= {2002},
1386  petsc_uses	= {KSP}
1387}
1388
1389@Article{	  brain2,
1390  author	= {Matthieu Ferrant and Arya Nabavi and Benoit Macq and Ferenc A. Jolesz and Ron
1391		  Kikinis and Simon K. Warfield},
1392  title		= {Registration of {3D} Intraoperative {MR} Images of the Brain using a Finite
1393		  Element Biomechanical Model},
1394  journal	= {IEEE Transactions on Medical Imaging},
1395  url		= {http://splweb.bwh.harvard.edu:8000/pages/papers/ferrant/tmi2001.pdf},
1396  year		= {2001},
1397  petsc_uses	= {KSP}
1398}
1399
1400@InProceedings{	  brain1,
1401  author	= {Simon K. Warfield and Matthieu Ferrant and Xavier Gallez and Arya Nabavi and
1402		  Ferenc A. Jolesz and Ron Kikinis},
1403  title		= {Real-Time Biomechanical Simulation of Volumetric Brain Deformation for Image
1404		  Guided Neurosurgery},
1405  booktitle	= {Proceedings of SC2000},
1406  url		= {http://www.sc2000.org/techpapr/papers/pap.pap230.pdf},
1407  year		= {2000},
1408  petsc_uses	= {KSP}
1409}
1410
1411@Article{	  vanne06,
1412  author	= {V. Kolehmainen and A. Vanne and S. Siltanen and S. Jarvenpaa and J.P. Kaipio and
1413		  M. Lassas and M. Kalke},
1414  title		= {Parallelized Bayesian inversion for three-dimensional dental X-ray imaging},
1415  journal	= {IEEE Transactions on Medical Imaging},
1416  volume	= {25},
1417  number	= {2},
1418  month		= {February},
1419  year		= {2006},
1420  pages		= {218--228},
1421  petsc_uses	= {KSP}
1422}
1423
1424@InProceedings{	  knepleybardhan2015,
1425  title		= {Work/Precision Tradeoffs in Continuum Models of Biomolecular Electrostatics},
1426  author	= {Matthew G. Knepley and Jaydeep P. Bardhan},
1427  booktitle	= {Proceedings of ASME 2015 International Mechanical Engineering Congress \&
1428		  Exposition},
1429  volume	= {9},
1430  pages		= {V009T12A04},
1431  doi		= {10.1115/IMECE2015-53579},
1432  year		= {2015},
1433  petsc_uses	= {KSP}
1434}
1435
1436@InProceedings{	  bardhanknepley2015,
1437  title		= {Multiscale models and approximation algorithms for protein electrostatics},
1438  author	= {Jaydeep P. Bardhan and Matthew G. Knepley},
1439  booktitle	= {Boundary Elements and Other Mesh Reduction Methods XXXVIII},
1440  volume	= {61},
1441  pages		= {163--174},
1442  url		= {http://www.witpress.com/Secure/elibrary/papers/BEM38/BEM38013FU1.pdf},
1443  doi		= {10.2495/BEM380131},
1444  publisher	= {WIT Press},
1445  year		= {2015},
1446  petsc_uses	= {KSP}
1447}
1448
1449% LiteralHTML:
1450% LiteralHTML:  <a name="fusion"><H3><center>Fusion</center></H3>
1451% LiteralHTML:
1452@InProceedings{	  adamsbrennanknepleywang2022,
1453  title		= {{Landau} collision operator in the {CUDA} programming model applied to thermal
1454		  quench plasmas},
1455  author	= {Mark. F. Adams and Dylan P. Brennan and Matthew G. Knepley and Peng Wang},
1456  booktitle	= {36th IEEE International Parallel \& Distributed Processing Symposium Conference
1457		  (IPDPS '22)},
1458  doi		= {10.1109/IPDPS53621.2022.00020},
1459  year		= {2022},
1460  petsc_uses	= {DMPlex}
1461}
1462
1463@Misc{		  adamsknepleybrennan2021,
1464  title		= {Runaway Electron Generation with High-Performance, Structure Preserving
1465		  Discretization of Fokker-Plank-Landau},
1466  author	= {Mark F. Adams and Matthew G. Knepley and Dylan Brennan},
1467  year		= {2021},
1468  petsc_uses	= {KSP}
1469}
1470
1471@Article{	  adamshirvijokiknepleybrownisaacmills2017,
1472  title		= {{Landau} Collision Integral Solver with Adaptive Mesh Refinement on Emerging
1473		  Architectures},
1474  author	= {Mark F. Adams and Eero Hirvijoki and Matthew G. Knepley and Jed Brown and Tobin
1475		  Isaac and Richard Mills},
1476  journal	= {SIAM Journal on Scientific Computing},
1477  volume	= {39},
1478  number	= {6},
1479  pages		= {C452--C465},
1480  doi		= {10.1137/17M1118828},
1481  eprint	= {1702.08880},
1482  year		= {2017},
1483  petsc_uses	= {KSP}
1484}
1485
1486@Article{	  pusztayknepleyadams2022,
1487  title		= {Conservative Projection Between FEM and Particle Bases},
1488  author	= {Joseph V. Pusztay and Matthew G. Knepley and Mark F. Adams},
1489  journal	= {SIAM Journal on Scientific Computing},
1490  volume	= {44},
1491  number	= {4},
1492  pages		= {C310--C319},
1493  doi		= {10.1137/21M145407},
1494  year		= {2022}
1495}
1496
1497@Article{	  hirvijoki2017,
1498  author	= {Eero Hirvijoki and Mark F. Adams},
1499  title		= {Conservative discretization of the {Landau} collision integral},
1500  journal	= {Physics of Plasmas},
1501  volume	= {24},
1502  number	= {3},
1503  pages		= {032121},
1504  doi		= {10.1063/1.4979122},
1505  year		= {2017},
1506  petsc_uses	= {KSP}
1507}
1508
1509@Article{	  mollenadamsknepleyhagerchang2021,
1510  title		= {Implementation of higher-order velocity mapping between marker particles and grid
1511		  in the particle-in-cell code XGC},
1512  author	= {Albert Moll\'en and Mark F. Adams and Matthew G. Knepley and Robert Hager and C.
1513		  S. Chang},
1514  journal	= {Journal of Plasma Physics},
1515  eprint	= {2012.11764},
1516  doi		= {10.1017/S0022377821000441},
1517  year		= {2021},
1518  petsc_uses	= {KSP}
1519}
1520
1521@Article{	  lsmh2014,
1522  author	= {M. Landreman and H. M. Smith and A. Mollen and P. Helander},
1523  title		= {Comparison of particle trajectories and collision operators for collisional
1524		  transport in nonaxisymmetric plasmas},
1525  journal	= { Physics of Plasmas},
1526  volume	= {21},
1527  year		= {2014},
1528  petsc_uses	= {KSP}
1529}
1530
1531@Article{	  lpcep2014,
1532  author	= {M. Landreman and F. I Parra and P. J. Catto and D. Ernst and I. Pusztai},
1533  title		= {Radially global delta-f computation of neoclassical phenomena in a tokamak
1534		  pedestal},
1535  journal	= {Plasma Physics and Controlled Fusion},
1536  volume	= {56},
1537  year		= {2014},
1538  petsc_uses	= {KSP}
1539}
1540
1541@Article{	  facets-scidac08,
1542  title		= {First Results from Core-Edge Parallel Composition in the {FACETS} Project},
1543  author	= {J. Cary and J. Candy and R. Cohen and S. Krasheninnikov and D. McCune and D.
1544		  Estep and J. Larson and A. Malony and A. Pankin and P. Worley and J. Carlsson and
1545		  A. Hakim and P. Hamill and S. Kruger and M. Miah and S. Muzsala and A. Pletzer and
1546		  S. Shasharina and D. Wade-Stein and N. Wang and S. Balay and L. McInnes and H.
1547		  Zhang and T. Casper and L. Diachin and T. Epperly and T. Rognlien and M. Fahey and
1548		  J. Cobb and A. Morris and S. Shende and G. Hammett and K. Indireshkumar and D.
1549		  Stotler and A. Pigarov},
1550  journal	= {J. Phys.: Conf. Ser.},
1551  volume	= {125},
1552  year		= {2008},
1553  pages		= {012040},
1554  url		= {http://www.iop.org/EJ/abstract/1742-6596/125/1/012040},
1555  petsc_uses	= {KSP}
1556}
1557
1558@Article{	  facets-scidac09,
1559  title		= {Concurrent, Parallel, Multiphysics Coupling in the {FACETS} Project},
1560  author	= {J. Cary and J. Candy and J. Cobb and R. H. Cohen and T. Epperly and D. Estep and
1561		  S. Krasheninnikov and A. Malony and D. McCune and L. McInnes and A. Pankin and S.
1562		  Balay and J. Carlsson and M. R. Fahey and R. Groebner and A. Hakim and S. Kruger
1563		  and M. Miah and A. Pletzer and S. Shasharina and S. Vadlamani and D. Wade-Stein
1564		  and T. Rognlien and A. Morris and S. Shende and G. W. Hammett and K. Indireshkumar
1565		  and A. Pigarov and H. Zhang},
1566  journal	= {J. Phys.: Conf. Ser.},
1567  volume	= {180},
1568  year		= {2009},
1569  pages		= {012056},
1570  url		= {http://iopscience.iop.org/1742-6596/180/1/012056},
1571  petsc_uses	= {KSP}
1572}
1573
1574@InProceedings{	  facets-scidac10,
1575  title		= {Coupled Whole Device Simulations of Plasma Transport in Tokamaks with the
1576		  {FACETS} Code},
1577  author	= {A. Hakim and J. Cary and J. Candy and J. Cobb and R. Cohen and T. Epperly and D.
1578		  Estep and S. Krasheninnikov and A. Malony and D McCune and L.C. McInnes and A.
1579		  Pankin and S. Balay J. Carlsson and M. Fahey and R. Groebner and S. Kruger and M.
1580		  Miah and A. Pletzer and S. Shasharina and S. Vadlamani and D. Wade-Stein and T.
1581		  Rognlein and A. Morris and S. Shende and G. Hammett and K. Indareshkumar and A.
1582		  Pigarov and H. Zhang},
1583  booktitle	= {Proceedings of SciDAC 2010 Conference},
1584  year		= {2010},
1585  url		= {http://computing.ornl.gov/workshops/scidac2010/papers/fusion_a_hakim.pdf},
1586  petsc_uses	= {KSP}
1587}
1588
1589@InProceedings{	  facets-fec2010,
1590  title		= {Concurrent, Parallel, Coupled Core-Edge Simulations of Pedestal Formation Using
1591		  the {FACETS} Framework},
1592  author	= {J. Cary and A. Hakim and A. Pletzer and M. Miah and S. Kruger and S. Shasharina
1593		  and S. Vadlamani and J. Carlsson and A. Pankin and T. Rognlien and R. Cohen and D.
1594		  McCune and K. Indireshkumar and A. Pigarov and L.C. McInnes and H. Zhang},
1595  booktitle	= {Proceedings of the 23rd annual IAEA Fusion Energy Conference (FEC 2010), Daejon,
1596		  Republic of Korea},
1597  year		= {2010},
1598  petsc_uses	= {KSP}
1599}
1600
1601@InProceedings{	  facets-epdp2010,
1602  title		= {{FACETS}: A Framework for Parallel Coupling of Fusion Components},
1603  author	= {J. Cary and A. Hakim and M. Miah and S. Kruger and A. Pletzer and S. Shasharina
1604		  and S. Vadlamani and A. Pankin and R. Cohen and T. Epperly and T. Rognlien and R.
1605		  Groebner and S. Balay and L. McInnes and H. Zhang},
1606  booktitle	= {Proceedings of Euromicro PDP 2010 (The 18th Euromicro International Conference on
1607		  Parallel, Distributed and Network-Based Computing), Pisa, Italy},
1608  year		= {2010},
1609  petsc_uses	= {KSP}
1610}
1611
1612@Article{	  carlssoncary09,
1613  author	= {Johan Carlsson, John R. Cary},
1614  title		= {The hypersecant Jacobian approximation for quasi-Newton solves of sparse
1615		  nonlinear systems},
1616  journal	= {arXiv},
1617  year		= {2009},
1618  note		= {http://arxiv.org/abs/0905.1054},
1619  url		= {http://arxiv.org/pdf/0905.1054v1},
1620  petsc_uses	= {KSP}
1621}
1622
1623@InProceedings{	  oshahjs2006,
1624  author	= {F. Ogando and A. Signell and J.A. Heikkinen and M. Aspn\"as and S. Henriksson and
1625		  S.J. Janhunen and T.P. Kiviniemi},
1626  title		= {Performance enhancements to ELMFIRE gyrokinetic code leading to new ranges of
1627		  application},
1628  booktitle	= {33rd EPS Conference on Plasma Phys.},
1629  year		= {2006},
1630  url		= {http://epsppd.epfl.ch/Roma/pdf/P4_153.pdf},
1631  note		= {European fusion code},
1632  petsc_uses	= {KSP}
1633}
1634
1635@Article{	  zhu2006,
1636  author	= {P. Zhu and A. Bhattacharjee and K. Germaschewski},
1637  title		= {Intermediate nonlinear evolution of the Parker instability: Formation of
1638		  convection-induced discontinuities and absence of finite-time singularities},
1639  journal	= {Phys. Rev. Lett.},
1640  volume	= {96},
1641  number	= {065001},
1642  year		= {2006},
1643  doi		= {10.1103/PhysRevLett.96.065001},
1644  petsc_uses	= {KSP}
1645}
1646
1647@InProceedings{	  ppc2005,
1648  author	= {B. Philip and M. Pernice and L.Chacon},
1649  title		= {Solution of Reduced Resistive Magnetohydrodynamics using Implicit Adaptive Mesh
1650		  Refinement},
1651  booktitle	= {Proceedings of the 16th International Conference on Domain Decomposition
1652		  methods},
1653  year		= {2005},
1654  lab		= {LANL},
1655  petsc_uses	= {KSP}
1656}
1657
1658@Article{	  pp2005,
1659  author	= {M. Pernice and B. Philip},
1660  title		= {Solution of Equilibrium Radiation Diffusion Problems using Adaptive Mesh
1661		  Refinement},
1662  year		= {2005},
1663  journal	= {SIAM J. of Sci. Comput.},
1664  lab		= {LANL},
1665  petsc_uses	= {KSP}
1666}
1667
1668@Article{	  gt2004,
1669  author	= {A. H. Glasser and X. Z. Tang},
1670  title		= {The SEL macroscopic modeling code},
1671  year		= {2004},
1672  journal	= {Computer Physics Communications},
1673  pages		= {237--243},
1674  volume	= {164},
1675  lab		= {LANL},
1676  petsc_uses	= {KSP}
1677}
1678
1679@Article{	  nl2006,
1680  author	= {Y. Nishimura and Z.Lin},
1681  title		= {A finite element mesh in a tokamak edge geometry},
1682  year		= {2006},
1683  journal	= {Contributions to Plasma Physics},
1684  volume	= {22},
1685  lab		= {PPPL},
1686  petsc_uses	= {KSP}
1687}
1688
1689@Article{	  nlle2004,
1690  author	= {Y. Nishimura and Z.Lin and J.Lewandowski and S.Ethier},
1691  title		= {A finite element Poisson solver for gyrokinetic particle simulations in a global
1692		  field aligned mesh},
1693  year		= {2006},
1694  journal	= {J. Comput. Phys.},
1695  volume	= {214},
1696  pages		= {657},
1697  lab		= {PPPL},
1698  petsc_uses	= {KSP}
1699}
1700
1701@InProceedings{	  lnlle2004,
1702  author	= {J.L.V Lewandowski and Y.Nishimura and W.W.Lee and Z.Lin and S. Ethier},
1703  title		= {Global gyrokinetic Particle-in-cell Simulations with Trapped Electrons},
1704  booktitle	= {Sherwood Fusion Theory Conference, Missoula, MT},
1705  year		= {2004},
1706  url		= {http://www.sherwoodtheory.org/sherwood04/program/1e15.pdf},
1707  lab		= {PPPL},
1708  petsc_uses	= {KSP}
1709}
1710
1711@InProceedings{	  nlclew2004,
1712  author	= {Y. Nishimura and Z.Lin and L.Chen and J.Lewandowski and S.Ethier and W. Wang},
1713  title		= {Electromagnetic gyrokinetic simulation with a fluid-kinetic hybrid electron
1714		  model},
1715  booktitle	= {Sherwood Fusion Theory Conference, Missoula, MT},
1716  year		= {2004},
1717  url		= {http://www.sherwoodtheory.org/sherwood04/program/1C32.pdf},
1718  lab		= {PPPL},
1719  petsc_uses	= {KSP}
1720}
1721
1722@Article{	  tb1,
1723  author	= {X.~Z.~Tang and A.~H.~Boozer},
1724  title		= {Numerical studies of a steady state axisymmetric co-axial helicity injection
1725		  plasma},
1726  journal	= {Physics of Plasmas},
1727  year		= {2004},
1728  pages		= {171--185},
1729  volume	= {11},
1730  lab		= {LANL},
1731  petsc_uses	= {KSP}
1732}
1733
1734@Unpublished{	  nlcw,
1735  title		= {Inclusion of electromagnetic effects into gyrokinetic particle simulations},
1736  author	= {Y. Nishimura and Z.Lin and L.Chen and W. Wang},
1737  note		= {American Physical Society 45th Annual Meeting Division of Plasma Physics,
1738		  Albuquerque, New Mexico, October 2003},
1739  year		= {2003},
1740  petsc_uses	= {KSP}
1741}
1742
1743@TechReport{	  tang2001,
1744  author	= {X. Z. Tang and G. Y. Fu and S. C. Jardin and L. L. Lowe and W. Park and H. R.
1745		  Strauss},
1746  title		= {Resistive Magnetohydrodynamics Simulation of Fusion Plasmas},
1747  year		= {2001},
1748  institution	= {Princeton Plasma Physics Laboratory},
1749  number	= {PPPL-3532},
1750  url		= {http://www.pppl.gov/pub_report/2001/PPPL-3532.pdf},
1751  note		= {Presented at 10th Society for Industrial and Applied Mathematics (SIAM)
1752		  Conference on Parallel Processing for Scientific Computing, Portsmouth, Virginia,
1753		  March 12-14, 2001.},
1754  lab		= {PPPL},
1755  petsc_uses	= {KSP}
1756}
1757
1758% LiteralHTML:
1759% LiteralHTML:  <a name="geosciences"><H3><center>Geosciences</center></H3>
1760% LiteralHTML:
1761@Article{	  valerathomasgarciacastillo2019,
1762  author	= {Manuel Valera and Mary P. Thomas and Mariangel Garcia and Jose E. Castillo},
1763  title		= {Parallel Implementation of a {PETSc-Based} Framework for the General Curvilinear
1764		  Coastal Ocean Model},
1765  journal	= {Journal of Marine Science and Engineering},
1766  volume	= {7},
1767  number	= {6},
1768  article-number= {185},
1769  url		= {https://www.mdpi.com/2077-1312/7/6/185},
1770  issn		= {2077-1312},
1771  doi		= {10.3390/jmse7060185},
1772  year		= {2019},
1773  petsc_uses	= {KSP}
1774}
1775
1776@Article{	  furuichimat2015,
1777  title		= {Implicit solution of the material transport in Stokes flow simulation: Toward
1778		  thermal convection simulation surrounded by free surface},
1779  author	= {Mikito Furuichi and Dave A May},
1780  journal	= {Computer Physics Communications},
1781  volume	= {192},
1782  pages		= {1--11},
1783  year		= {2015},
1784  petsc_uses	= {KSP}
1785}
1786
1787@Article{	  sharplesmoresivelicjadamecmay2016,
1788  title		= {Simulating faults and plate boundaries with a transversely isotropic plasticity
1789		  model},
1790  author	= {Wendy Sharples and Louis N Moresi and Mirko Velic and Margarete A Jadamec and
1791		  Dave A May},
1792  journal	= {Physics of the Earth and Planetary Interiors},
1793  volume	= {252},
1794  pages		= {77--90},
1795  year		= {2016},
1796  petsc_uses	= {KSP}
1797}
1798
1799@Article{	  spiegelmanmaywilson2016,
1800  title		= {On the solvability of incompressible Stokes with viscoplastic rheologies in
1801		  geodynamics},
1802  author	= {Marc Spiegelman and Dave A May and Cian R Wilson},
1803  journal	= {Geochemistry, Geophysics, Geosystems},
1804  volume	= {17},
1805  number	= {6},
1806  pages		= {2213--2238},
1807  year		= {2016},
1808  petsc_uses	= {KSP}
1809}
1810
1811@Article{	  buiteretal2016,
1812  title		= {Benchmarking numerical models of brittle thrust wedges},
1813  author	= {Susanne JH Buiter and Guido Schreurs and Markus Albertz and Taras V Gerya and
1814		  Boris Kaus and Walter Landry and Laetitia {Le Pourhiet} and Yury Mishin and David
1815		  L Egholm and Michele Cooke and Bertrand Maillot and Cedric Thieulot and Tony Crook
1816		  and Dave May and Pauline Souloumiac and Christopher Beaumont},
1817  journal	= {Journal of structural geology},
1818  volume	= {92},
1819  pages		= {140--177},
1820  year		= {2016},
1821  petsc_uses	= {KSP}
1822}
1823
1824@Article{	  afanasievboehmdrielkrischerrietmannmayknepleyfichtner2019,
1825  title		= {Modular and flexible spectral-element waveform modelling in two and three
1826		  dimensions},
1827  author	= {Michael Afanasiev and Christian Boehm and Martin van Driel and Lion Krischer and
1828		  Max Rietmann and Dave A. May and Matthew G. Knepley and Andreas Fichtner},
1829  journal	= {Geophysical Journal International},
1830  volume	= {216},
1831  number	= {3},
1832  pages		= {1675--1692},
1833  doi		= {10.1093/gji/ggy469},
1834  year		= {2019},
1835  petsc_uses	= {KSP}
1836}
1837
1838@Article{	  haplaknepleyafanasievboehmdrielkrischerfichtner2020,
1839  title		= {Fully Parallel Mesh {I/O} using {PETSc} {DMPlex} with an Application to Waveform
1840		  Modeling},
1841  author	= {Vaclav Hapla and Matthew G. Knepley and Michael Afanasiev and Christian Boehm and
1842		  Martin van Driel and Lion Krischer and Andreas Fichtner},
1843  journal	= {SIAM Journal on Scientific Computing},
1844  volume	= {43},
1845  number	= {2},
1846  pages		= {C127--C153},
1847  eprint	= {http://arxiv.org/abs/2004.08729},
1848  doi		= {10.1137/20M1332748},
1849  year		= {2021},
1850  petsc_uses	= {KSP}
1851}
1852
1853@Article{	  parsani2021,
1854  title		= {High-order accurate entropy-stable discontinuous collocated Galerkin methods with
1855		  the summation-by-parts property for compressible CFD frameworks: Scalable SSDC
1856		  algorithms and flow solver},
1857  author	= {Matteo Parsani and Radouan Boukharfane and Irving Reyna Nolasco and David C. {Del
1858		  Rey Fernández} and Stefano Zampini and Bilel Hadri and Lisandro Dalcin},
1859  journal	= {Journal of Computational Physics},
1860  volume	= {424},
1861  pages		= {109844},
1862  issn		= {0021-9991},
1863  doi		= {https://doi.org/10.1016/j.jcp.2020.109844},
1864  url		= {http://www.sciencedirect.com/science/article/pii/S0021999120306185},
1865  year		= {2021},
1866  petsc_uses	= {KSP}
1867}
1868
1869@Article{	  ambartsumyanbouakaramthanhghattaskeyesstadlerturkiyyahzampini2020,
1870  title		= {Hierarchical matrix approximations of {Hessians} arising in inverse problems
1871		  governed by {PDEs}},
1872  author	= {I. Ambartsumyan and W. Bouakaram and Than Bui-Thanh and Omar Ghattas and David
1873		  Keyes and Georg Stadler and George Turkiyyah and Stefano Zampini},
1874  journal	= {SIAM Journal of Scientific Computing},
1875  volume	= {42},
1876  number	= {5},
1877  pages		= {A3397--A3426},
1878  year		= {2020}
1879}
1880
1881@Article{	  zampinibouakaramturkiyyahkniokeyes2022,
1882  title		= {H2Opus: a distributed memory {multi-GPU} software for non-local operators},
1883  author	= {Stefano Zampini and W. Bouakaram and George Turkiyyah and O. Knio and David E.
1884		  Keyes},
1885  journal	= {Advances on Computational Mathematics},
1886  note		= {In press},
1887  year		= {2022}
1888}
1889
1890@Article{	  dassizampiniscacchi2022,
1891  title		= {Robust and scalable adaptive {BDDC} preconditioners for virtual element
1892		  discretizations of elliptic equations in mixed form},
1893  author	= {F. Dassi and Stefano Zampini and S. Scacchi},
1894  journal	= {Computer Methods in Applied Mechanics and Engineering},
1895  volume	= {391},
1896  pages		= {114620},
1897  year		= {2022}
1898}
1899
1900@Article{	  youngoppenheimdimant2017,
1901  author	= {Matthew A. Young and Meers M. Oppenheim and Yakov S. Dimant},
1902  title		= {Hybrid simulations of coupled Farley-Buneman/gradient drift instabilities in the
1903		  equatorial E region ionosphere},
1904  journal	= {Journal of Geophysical Research: Space Physics},
1905  volume	= {122},
1906  number	= {5},
1907  issn		= {2169-9402},
1908  doi		= {10.1002/2017JA024161},
1909  pages		= {5768--5781},
1910  year		= {2017},
1911  petsc_uses	= {KSP}
1912}
1913
1914@Article{	  rioussetpatylillisfillingimenglandwithershale2013,
1915  title		= {Three-dimensional multifluid modeling of atmospheric electrodynamics in Mars'
1916		  dynamo region},
1917  author	= {Jeremy A Riousset and Carol S Paty and Robert J Lillis and Matthew O Fillingim
1918		  and Scott L England and Paul G Withers and John P M Hale},
1919  journal	= {Journal of Geophysical Research: Space Physics},
1920  volume	= {118},
1921  number	= {6},
1922  pages		= {3647--3659},
1923  year		= {2013},
1924  publisher	= {Wiley Online Library},
1925  petsc_uses	= {KSP}
1926}
1927
1928@Article{	  chien2016representation,
1929  title		= {Representation of topography by partial steps using the immersed boundary method
1930		  in a vector vorticity equation model (VVM)},
1931  author	= {Chien, Mu-Hua and Wu, Chien-Ming},
1932  journal	= {Journal of Advances in Modeling Earth Systems},
1933  year		= {2016},
1934  publisher	= {Wiley Online Library},
1935  petsc_uses	= {KSP}
1936}
1937
1938@Article{	  berger2015parallel,
1939  title		= {Parallel preconditioners for monolithic solution of shear bands},
1940  author	= {Berger-Vergiat, Luc and McAuliffe, Colin and Waisman, Haim},
1941  journal	= {Journal of Computational Physics},
1942  year		= {2015},
1943  publisher	= {Elsevier},
1944  petsc_uses	= {KSP}
1945}
1946
1947@Article{	  may2015496,
1948  title		= {A scalable, matrix-free multigrid preconditioner for finite element
1949		  discretizations of heterogeneous {S}tokes flow },
1950  journal	= {Computer Methods in Applied Mechanics and Engineering },
1951  volume	= {290},
1952  number	= {0},
1953  pages		= {496--523},
1954  year		= {2015},
1955  issn		= {0045-7825},
1956  doi		= {10.1016/j.cma.2015.03.014},
1957  author	= {D.A. May and J. Brown and L. {Le Pourhiet}},
1958  petsc_uses	= {KSP}
1959}
1960
1961@Article{	  isaacknepley2017,
1962  title		= {Support for Non-conformal Meshes in {PETSc}'s {DMPlex} Interface},
1963  author	= {Tobin Isaac and Matthew G. Knepley},
1964  journal	= {ACM Transaction on Mathematical Software},
1965  eprint	= {1508.02470},
1966  note		= {In review},
1967  year		= {2017},
1968  petsc_uses	= {KSP}
1969}
1970
1971@Article{	  knepleylangegorman2017,
1972  title		= {Unstructured Overlapping Mesh Distribution in Parallel},
1973  author	= {Matthew G. Knepley and Michael Lange and Gerard J. Gorman},
1974  journal	= {ArXiv e-prints},
1975  eprint	= {1506.06194},
1976  year		= {2017},
1977  petsc_uses	= {DMPlex}
1978}
1979
1980@Article{	  langemitchellknepleygorman2015,
1981  title		= {Efficient mesh management in {Firedrake} using {PETSc-DMPlex}},
1982  author	= {Michael Lange and Lawrence Mitchell and Matthew G. Knepley and Gerard J. Gorman},
1983  journal	= {SIAM Journal on Scientific Computing},
1984  volume	= {38},
1985  number	= {5},
1986  pages		= {S143--S155},
1987  eprint	= {http://arxiv.org/abs/1506.07749},
1988  doi		= {10.1137/15M1026092},
1989  year		= {2016},
1990  petsc_uses	= {DMPlex}
1991}
1992
1993@InProceedings{	  langeknepleygorman2015,
1994  title		= {Flexible, Scalable Mesh and Data Management using {PETSc DMPlex}},
1995  author	= {Michael Lange and Matthew G. Knepley and Gerard J. Gorman},
1996  booktitle	= {Proceedings of the Exascale Applications and Software Conference},
1997  month		= {April},
1998  url		= {http://www.easc2015.ed.ac.uk/sites/default/files/attachments/EASC15Proceedings.pdf},
1999  year		= {2015},
2000  petsc_uses	= {DMPlex}
2001}
2002
2003@InProceedings{	  wallworkknepleybarralpiggott2022,
2004  title		= {Parallel Metric-Based Mesh Adaptation in {PETSc} using {ParMmg}},
2005  author	= {Joseph G. Wallwork and Matthew G. Knepley and Nicolas Barral and Matthew D.
2006		  Piggott},
2007  booktitle	= {SIAM International Meshing Roundtable Workshop 2022},
2008  editor	= {Trevor Robinson},
2009  month		= {January},
2010  address	= {Seattle, WA},
2011  pages		= {1--5},
2012  url		= {http://imr.sandia.gov/papers/imr31/2026_imr31RJ_Wallwork.pdf},
2013  year		= {2022},
2014  petsc_uses	= {DMPlex}
2015}
2016
2017@InProceedings{	  timalsinaknepley2023,
2018  title		= {Tetrahedralization of a Hexahedral Mesh},
2019  author	= {Aman Timalsina and Matthew G. Knepley},
2020  booktitle	= {SIAM International Meshing Roundtable Workshop 2023},
2021  year		= {2023},
2022  petsc_uses	= {DMPlex}
2023}
2024
2025@Article{	  farrellknepleywechsungmitchell2020,
2026  title		= {{PCPATCH}: software for the topological construction of multigrid relaxation
2027		  methods},
2028  author	= {Patrick E Farrell and Matthew G Knepley and Lawrence Mitchell and Florian
2029		  Wechsung},
2030  journal	= {ACM Transaction on Mathematical Software},
2031  eprint	= {http://arxiv.org/abs/1912.08516},
2032  volume	= {47},
2033  number	= {3},
2034  pages		= {1--22},
2035  year		= {2021},
2036  petsc_uses	= {KSP,DMPlex}
2037}
2038
2039@Article{	  farrellmitchellscottwechsung2022,
2040  title		= {Robust multigrid methods for nearly incompressible elasticity using macro
2041		  elements},
2042  author	= {Patrick E Farrell and Lawrence Mitchell and L Ridgway Scott and Florian
2043		  Wechsung},
2044  journal	= {IMA Journal of Numerical Analysis},
2045  issn		= {0272-4979},
2046  doi		= {10.1093/imanum/drab083},
2047  url		= {https://doi.org/10.1093/imanum/drab083},
2048  year		= {2022},
2049  petsc_uses	= {KSP,DMPlex}
2050}
2051
2052@Misc{		  firedrakeproject,
2053  title		= {{The Firedrake project}},
2054  author	= {David A Ham and Firedrake Team},
2055  url		= {http://firedrakeproject.org},
2056  year		= {2022},
2057  petsc_uses	= {KSP}
2058}
2059
2060@Article{	  rathgeberhammitchelllangeluporinimcraeberceamarkallkelly2016,
2061  title		= {Firedrake: automating the finite element method by composing abstractions},
2062  author	= {Florian Rathgeber and David A Ham and Lawrence Mitchell and Michael Lange and
2063		  Fabio Luporini and Andrew TT McRae and Gheorghe-Teodor Bercea and Graham R Markall
2064		  and Paul HJ Kelly},
2065  journal	= {ACM Transactions on Mathematical Software (TOMS)},
2066  volume	= {43},
2067  number	= {3},
2068  pages		= {24},
2069  year		= {2016},
2070  petsc_uses	= {KSP}
2071}
2072
2073@Article{	  mitchellmuller2016,
2074  title		= {High level implementation of geometric multigrid solvers for finite element
2075		  problems: Applications in atmospheric modelling},
2076  author	= {Lawrence Mitchell and Eike Hermann M{\"u}ller},
2077  journal	= {Journal of Computational Physics},
2078  volume	= {327},
2079  pages		= {1--18},
2080  year		= {2016},
2081  petsc_uses	= {KSP}
2082}
2083
2084@Article{	  mcraeberceamitchellhamcotter2016,
2085  title		= {Automated generation and symbolic manipulation of tensor product finite
2086		  elements},
2087  author	= {Andrew TT McRae and Gheorghe-Teodor Bercea and Lawrence Mitchell and David A Ham
2088		  and Colin J Cotter},
2089  journal	= {SIAM Journal on Scientific Computing},
2090  volume	= {38},
2091  number	= {5},
2092  pages		= {S25--S47},
2093  year		= {2016},
2094  petsc_uses	= {KSP}
2095}
2096
2097@Article{	  berceamcraehammitchellrathgebernardiluporinikelly2016,
2098  title		= {A structure-exploiting numbering algorithm for finite elements on extruded
2099		  meshes, and its performance evaluation in {Firedrake}},
2100  author	= {Gheorghe-Teodor Bercea and Andrew TT McRae and David A Ham and Lawrence Mitchell
2101		  and Florian Rathgeber and L. Nardi and Fabio Luporini and Paul HJ Kelly},
2102  journal	= {Geoscientific Model Development},
2103  volume	= {9},
2104  number	= {10},
2105  pages		= {3803--3815},
2106  doi		= {10.5194/gmd-9-3803-2016},
2107  year		= {2016},
2108  petsc_uses	= {KSP}
2109}
2110
2111@InProceedings{	  markallrathgebermitchellloriantbertollihamkelly2013,
2112  author	= {Graham R. Markall and Florian Rathgeber and Lawrence Mitchell and Nicolas Loriant
2113		  and Carlo Bertolli and David A. Ham and Paul HJ Kelly},
2114  editor	= {Julian Martin Kunkel and Thomas Ludwig and Hans Werner Meuer},
2115  title		= {Performance-Portable Finite Element Assembly Using {PyOP2} and {FEniCS}},
2116  booktitle	= {Proceedings of 28th International Supercomputing Conference, ISC 2013},
2117  publisher	= {Springer Berlin Heidelberg},
2118  pages		= {279--289},
2119  isbn		= {978-3-642-38750-0},
2120  doi		= {10.1007/978-3-642-38750-0_21},
2121  year		= {2013},
2122  petsc_uses	= {KSP}
2123}
2124
2125@Article{	  kirbymitchell2017,
2126  title		= {Solver composition across the {PDE}/linear algebra barrier},
2127  author	= {Robert C Kirby and Lawrence Mitchell},
2128  journal	= {arXiv preprint arXiv:1706.01346},
2129  year		= {2017},
2130  petsc_uses	= {KSP}
2131}
2132
2133@Article{	  saibaba2012application,
2134  title		= {Application of hierarchical matrices to linear inverse problems in
2135		  geostatistics},
2136  author	= {Saibaba, Arvind Krishna and Ambikasaran, Sivaram and Yue Li, J and Kitanidis,
2137		  Peter K and Darve, Eric F},
2138  journal	= {Oil and Gas Science and Technology-Revue de l'IFP-Institut Francais du Petrole},
2139  volume	= {67},
2140  number	= {5},
2141  pages		= {857},
2142  year		= {2012},
2143  petsc_uses	= {KSP}
2144}
2145
2146@Article{	  collignonkausmayfernandez14,
2147  author	= {Collignon, M. and Kaus, B. and May, D.A. and Fern\'andez, N.},
2148  title		= {Influences of surface processes on fold growth during {3-D} detachment folding},
2149  journal	= {Geochem Geophy Geosy},
2150  year		= {2014},
2151  petsc_uses	= {KSP}
2152}
2153
2154@Article{	  fernandezkaus14,
2155  author	= {Fern\'andez, N. and Kaus, B.},
2156  title		= {Fold interaction and wavelength selection in 3D models of multilayer detachment
2157		  folding},
2158  journal	= {Tectonophysics},
2159  year		= {2014},
2160  petsc_uses	= {KSP}
2161}
2162
2163@Article{	  baumannkauspopov14,
2164  author	= {Baumann, T. and Kaus, B. J. P. and Popov, A.},
2165  title		= {Constraining effective rheology through parallel joint geodynamic inversion},
2166  journal	= {Tectonophysics},
2167  year		= {2014},
2168  petsc_uses	= {KSP}
2169}
2170
2171@Article{	  lechmannschmalholzhetenyimaykaus14,
2172  author	= {Lechmann, S. M. and Schmalholz, S. M. and Hetenyi, G. and May, D. A. and Kaus, B.
2173		  J. P.},
2174  title		= {Quantifying the impact of mechanical layering and underthrusting on the dynamics
2175		  of the modern {India-Asia} collisional system with {3-D} numerical models},
2176  journal	= { Journal of Geophysical Research - Solid Earth},
2177  year		= {2014},
2178  petsc_uses	= {KSP}
2179}
2180
2181@InBook{	  fernandezkaus14b,
2182  author	= {Fern\'andez N. and Kaus B.J.P.},
2183  title		= {Analytical and numerical investigation of 3D multilayer detachment},
2184  booktitle	= {Mathematics of Planet Earth},
2185  editor	= {Pardo-Ig\'uzquiza E. and Guardiola-Albert C. and Heredia J. and Moreno-Merino L.
2186		  and Dur\'an J.J. and Vargas-Guzman J.A.},
2187  publisher	= {Springer},
2188  year		= {2014},
2189  petsc_uses	= {KSP}
2190}
2191
2192@Article{	  hossein-hsueh-etal-2014a,
2193  author	= {Hossein, M.Z. and Hsueh, C.-J. and Bourdin, B. and Bhattacharya, K.},
2194  journal	= {J. Mech. Phys. Solids},
2195  pages		= {320--348},
2196  title		= {Effective toughness of heterogeneous media},
2197  volume	= {71},
2198  year		= {2014},
2199  petsc_uses	= {KSP}
2200}
2201
2202@Unpublished{	  leon-baldelli-bourdin-2014a,
2203  author	= {Le\'{o}n Baldelli, A.A. and Bourdin, B.},
2204  month		= {08},
2205  note		= {Submitted.},
2206  title		= {On the asymptotic derivation of Winkler-type energies from {3D} elasticity},
2207  year		= {2014},
2208  petsc_uses	= {KSP}
2209}
2210
2211@Article{	  leon-baldelli-babadjian-etal-2013a,
2212  author	= {Leòn-Baldelli, A. A. and Babadjian, J.-F. and Bourdin, B. and Henao, D. and
2213		  Maurini, C.},
2214  journal	= {J. Mech. Phys. Solids},
2215  pages		= {15-32},
2216  title		= {A Variational Model For Fracture And Delamination Of Thin Films},
2217  volume	= {70},
2218  year		= {2014},
2219  petsc_uses	= {KSP}
2220}
2221
2222@Article{	  mesgarnejad-bourdin-etal-2014a,
2223  author	= {Mesgarnejad, A. and Bourdin, B. and Khonsari, M. M.},
2224  journal	= {Comp. Methods Appl. Mech. Engng.},
2225  title		= {Validation simulations for the variational approach to fracture},
2226  volume	= {Submitted},
2227  year		= {2014},
2228  petsc_uses	= {KSP}
2229}
2230
2231@InProceedings{	  bourdin-chukwudozie-etal-2013a,
2232  author	= {Bourdin, B. and Chukwudozie, C. and Yoshioka, K.},
2233  booktitle	= {Proceedings of the 38th Workshop on Geothermal Reservoir Engineering Stanford
2234		  University, Stanford, CA},
2235  title		= {A Variational Approach To The Modeling And Numerical Simulation Of Hydraulic
2236		  Fracturing Under In-Situ Stresses},
2237  year		= {2013},
2238  petsc_uses	= {KSP}
2239}
2240
2241@Article{	  maurini-bourdin-etal-2012a,
2242  author	= {Maurini, C. and Bourdin, B. and Gauthier, G. and Lazarus, V.},
2243  journal	= {Int. J. Fracture},
2244  number	= {1-2},
2245  pages		= {75-91},
2246  title		= {Crack patterns obtained by unidirectional drying of a colloidal suspension in a
2247		  capillary tube: experiments and numerical simulations using a two-dimensional
2248		  variational approach},
2249  volume	= {184},
2250  year		= {2013},
2251  petsc_uses	= {KSP}
2252}
2253
2254@Article{	  mesgarnejad-bourdin-etal-2013a,
2255  author	= {Mesgarnejad, A. and Bourdin, B. and Khonsari, M.M.},
2256  journal	= {J. Mech. Phys Solids},
2257  number	= {11},
2258  pages		= {2360--2379},
2259  title		= {A variational approach to the fracture of brittle thin films under out of plane
2260		  loading},
2261  volume	= {61},
2262  year		= {2013},
2263  petsc_uses	= {KSP}
2264}
2265
2266@InProceedings{	  bourdin-chukwudozie-etal-2012a,
2267  author	= {Bourdin, B. and Chukwudozie, C. and Yoshioka, K.},
2268  booktitle	= {Proceedings of the 2012 SPE Annual Technical Conference and Exhibition},
2269  title		= {A Variational Approach to the Numerical Simulation of Hydraulic Fracturing},
2270  volume	= {SPE 159154},
2271  year		= {2012},
2272  petsc_uses	= {KSP}
2273}
2274
2275@Article{	  millerdawsonfarthinghouhuangkeeskelleylangtangen13,
2276  author	= {Cass T. Miller and Clint N. Dawson and Matthew W. Farthing and Thomas Y. Hou and
2277		  Jingfang Huang and Christopher E. Kees and C.T. Kelley and Hans Petter
2278		  Langtangen},
2279  title		= {Numerical simulation of water resources problems: Models, methods, and trends},
2280  journal	= {Advances in Water Resources},
2281  volume	= {51},
2282  number	= {0},
2283  pages		= {405--437},
2284  year		= {2013},
2285  note		= {35th Year Anniversary Issue},
2286  issn		= {0309-1708},
2287  doi		= {10.1016/j.advwatres.2012.05.008},
2288  petsc_uses	= {KSP}
2289}
2290
2291@Article{	  scheltingamyerspietrzak10,
2292  author	= {Terwisscha van Scheltinga, ArjenD. and Myers, PaulG. and Pietrzak, JulieD.},
2293  title		= {A finite element sea ice model of the Canadian Arctic Archipelago},
2294  journal	= {Ocean Dynamics},
2295  volume	= {60},
2296  number	= {6},
2297  pages		= {1539-1558},
2298  year		= {2010},
2299  issn		= {1616-7341},
2300  doi		= {10.1007/s10236-010-0356-5},
2301  publisher	= {Springer-Verlag},
2302  keywords	= {Ocean modelling; Unstructured meshes; Sea ice; Arctic Ocean; Canadian Arctic
2303		  Archipelago; Freshwater flux},
2304  language	= {English},
2305  petsc_uses	= {KSP}
2306}
2307
2308@InBook{	  destefanoandreasisecchi13,
2309  author	= {M. De Stefano and F. Golfré Andreasi and A. Secchi},
2310  title		= {Towards preconditioned nonlinear conjugate gradients for generic geophysical
2311		  inversions},
2312  booktitle	= {SEG Technical Program Expanded Abstracts 2013},
2313  chapter	= {626},
2314  pages		= {3226--3230},
2315  doi		= {10.1190/segam2013-0244.1},
2316  url		= {http://library.seg.org/doi/abs/10.1190/segam2013-0244.1},
2317  eprint	= {http://library.seg.org/doi/pdf/10.1190/segam2013-0244.1},
2318  petsc_uses	= {KSP}
2319}
2320
2321@Article{	  pourhiethuetmaylabroussejolivet12,
2322  author	= {L. {Le Pourhiet} and B. Huet and D. A. May and L. Labrousse and L. Jolivet},
2323  title		= {Kinematic interpretation of the 3D shapes of metamorphic core complexes},
2324  journal	= {Geochem. Geophys. Geosyst.},
2325  volume	= {13},
2326  pages		= {Q09002},
2327  year		= {2012},
2328  doi		= {10.1029/2012GC004271},
2329  petsc_uses	= {KSP}
2330}
2331
2332@Article{	  lechmannmaykausschmalholz11,
2333  author	= {S. M. Lechmann and D. A. May and B. J. P. Kaus and S. M. Schmalholz},
2334  title		= {Comparing thin-sheet models with {3-D} multilayer models for continental
2335		  collision},
2336  journal	= {Geophysical Journal International},
2337  volume	= {187},
2338  pages		= {10--33},
2339  year		= {2011},
2340  doi		= {10.1111/j.1365-246X.2011.05164.x},
2341  petsc_uses	= {KSP}
2342}
2343
2344@Article{	  stefano:r69,
2345  author	= {Michele De Stefano and Federico Golfr\'{e} Andreasi and Simone Re and Massimo
2346		  Virgilio and Fred F. Snyder},
2347  collaboration	= {},
2348  title		= {Multiple-domain, simultaneous joint inversion of geophysical data with
2349		  application to subsalt imaging},
2350  publisher	= {SEG},
2351  year		= {2011},
2352  journal	= {Geophysics},
2353  volume	= {76},
2354  number	= {3},
2355  pages		= {R69-R80},
2356  keywords	= {geophysical image processing; inverse problems; seismology},
2357  doi		= {10.1190/1.3554652},
2358  petsc_uses	= {KSP}
2359}
2360
2361@Article{	  stefano:806,
2362  author	= {Michele De Stefano},
2363  collaboration	= {},
2364  title		= {Simultaneous joint inversion for susceptibility and velocity},
2365  publisher	= {SEG},
2366  year		= {2011},
2367  journal	= {SEG Technical Program Expanded Abstracts},
2368  volume	= {30},
2369  number	= {1},
2370  pages		= {806-810},
2371  keywords	= {3D; imaging; inversion; magnetics; multiparameter},
2372  doi		= {10.1190/1.3628198},
2373  petsc_uses	= {KSP}
2374}
2375
2376@Article{	  mayknepley2011,
2377  author	= {Dave A. May and Matthew G. Knepley},
2378  title		= {Optimal, scalable forward models for computing gravity anomalies},
2379  journal	= {Geophysical Journal International},
2380  volume	= {187},
2381  number	= {1},
2382  pages		= {161--177},
2383  url		= {http://arxiv.org/abs/1107.5951},
2384  note		= {\url{http://arxiv.org/abs/1107.5951}},
2385  year		= {2011},
2386  petsc_uses	= {KSP}
2387}
2388
2389@InProceedings{	  bourdinknepleymaurini2010,
2390  author	= {Blaise Bourdin and Matthew G. Knepley and C. Maurini},
2391  title		= {Numerical Simulation of Reservoir Stimulation - A Variational Approach},
2392  booktitle	= {Proceedings of the 37th Stanford Geothermal Workshop},
2393  url		= {https://es.stanford.edu/ERE/pdf/IGAstandard/SGW/2011/bourdin.pdf},
2394  note		= {\url{https://es.stanford.edu/ERE/pdf/IGAstandard/SGW/2011/bourdin.pdf}},
2395  address	= {Stanford, CA},
2396  year		= {2010},
2397  petsc_uses	= {KSP}
2398}
2399
2400@InProceedings{	  bourdinknepleymaurini2010b,
2401  author	= {Blaise Bourdin and Matthew G. Knepley and C. Maurini},
2402  title		= {Secondary Thermal Cracks in {EGS}: a Variational Approach},
2403  booktitle	= {Proceedings of the 34th Annual Meeting of the Geothermal Resources Council},
2404  url		= {https://www.math.lsu.edu/~bourdin/Biography_assets/Bourdin-Knepley-Maurini-2010.pdf},
2405  note		= {\url{https://www.math.lsu.edu/~bourdin/Biography_assets/Bourdin-Knepley-Maurini-2010.pdf}},
2406  address	= {Sacramento, CA},
2407  year		= {2010},
2408  petsc_uses	= {KSP}
2409}
2410
2411@Article{	  chen2007full,
2412  title		= {Full 3D tomography for the crustal structure of the Los Angeles region},
2413  author	= {Chen, P. and Zhao, L. and Jordan, T.H.},
2414  journal	= {Bulletin of the Seismological Society of America},
2415  volume	= {97},
2416  number	= {4},
2417  pages		= {1094},
2418  year		= {2007},
2419  publisher	= {Seismol Soc America},
2420  petsc_uses	= {KSP}
2421}
2422
2423@Article{	  brown2010ens,
2424  author	= {Brown, Jed},
2425  affiliation	= {Versuchsanstalt für Wasserbau, Hydrologie und Glaziologie (VAW), ETH Zürich,
2426		  Zürich, Switzerland},
2427  title		= {Efficient Nonlinear Solvers for Nodal High-Order Finite Elements in {3D}},
2428  journal	= {Journal of Scientific Computing},
2429  publisher	= {Springer Netherlands},
2430  issn		= {0885-7474},
2431  keyword	= {Mathematics and Statistics},
2432  pages		= {48-63},
2433  volume	= {45},
2434  issue		= {1},
2435  doi		= {10.1007/s10915-010-9396-8},
2436  year		= {2010},
2437  petsc_uses	= {KSP}
2438}
2439
2440@PhDThesis{	  brown2011,
2441  title		= {Computational methods for ice flow simulation},
2442  author	= {Jed Brown},
2443  school	= {ETH Z{\"u}rich},
2444  year		= {2011},
2445  petsc_uses	= {KSP}
2446}
2447
2448@Article{	  brown2013tmeice,
2449  title		= {Achieving textbook multigrid efficiency for hydrostatic ice flow},
2450  author	= {Jed Brown and Barry F. Smith and Aron Ahmadia},
2451  journal	= {SIAM Journal on Scientific Computing},
2452  volume	= {35},
2453  number	= {2},
2454  year		= {2013},
2455  pages		= {359--375},
2456  doi		= {10.1137/110834512},
2457  note		= {Also preprint ANL/MCS-P743-1298},
2458  petsc_uses	= {KSP}
2459}
2460
2461@InProceedings{	  brown2013quasinewton,
2462  author	= {Jed Brown and Peter Brune},
2463  title		= {Low-rank quasi-{N}ewton updates for robust {J}acobian lagging in {N}ewton-type
2464		  methods},
2465  year		= {2013},
2466  booktitle	= {International Conference on Mathematics and Computational Methods Applied to
2467		  Nuclear Science and Engineering},
2468  pages		= {2554--2565},
2469  petsc_uses	= {KSP}
2470}
2471
2472@Misc{		  spiegelman-siampp10,
2473  title		= {Block Preconditioners and Advanced Software for Multiphysics Problems in Solid
2474		  Earth Geodynamics},
2475  author	= {Marc Spiegelman},
2476  note		= {presentation at the 2010 SIAM Conference on Parallel Processing for Scientific
2477		  Computing},
2478  year		= {2010},
2479  petsc_uses	= {KSP}
2480}
2481
2482@Article{	  schauer2011a,
2483  author	= {Marco Schauer and Sabine Langer and Jose E. Roman and Enrique S.
2484		  Quintana-Ort\'{\i}},
2485  title		= {Large scale simulation of wave propagation in soils interacting with structures
2486		  using {FEM} and {SBFEM}},
2487  journal	= {Journal of Computational Acoustics},
2488  volume	= {19},
2489  number	= {1},
2490  pages		= {75--93},
2491  year		= {2011},
2492  doi		= {10.1142/S0218396X11004316},
2493  petsc_uses	= {KSP}
2494}
2495
2496@Misc{		  bsa2010,
2497  author	= {J. Brown and B. Smith and A. Ahmadia},
2498  title		= {Achieving textbook multigrid efficiency for hydrostatic ice sheet flow},
2499  note		= {submitted to SIAM Journal on Scientific Computing},
2500  year		= {2012},
2501  petsc_uses	= {KSP}
2502}
2503
2504@Article{	  kellerkatz2016,
2505  title		= {The Role of Volatiles in Reactive Melt Transport in the Asthenosphere},
2506  author	= {Tobias Keller and Richard F. Katz},
2507  journal	= {Journal of Petrology},
2508  doi		= {10.1093/petrology/egw030},
2509  url		= {http://petrology.oxfordjournals.org/content/early/2016/07/15/petrology.egw030.abstract},
2510  eprint	= {http://petrology.oxfordjournals.org/content/early/2016/07/15/petrology.egw030.full.pdf+html},
2511  year		= {2016},
2512  petsc_uses	= {KSP}
2513}
2514
2515@Article{	  weatherley12,
2516  author	= {S. Weatherley and R.F. Katz},
2517  title		= {Melting and channelized magmatic flow in chemically heterogeneous, upwelling
2518		  mantle},
2519  journal	= {Geochem.\ Geophys.\ Geosys.},
2520  year		= {2012},
2521  volume	= {13},
2522  number	= {1},
2523  pages		= {Q0AC18},
2524  doi		= {10.1029/2011GC003989},
2525  petsc_uses	= {KSP}
2526}
2527
2528@Article{	  katz12,
2529  author	= {R.F. Katz and S. Weatherley},
2530  title		= {Consequences of mantle heterogeneity for melt extraction at mid-ocean ridges},
2531  journal	= {Earth\ Planet.\ Sci.\ Lett.},
2532  year		= {2012},
2533  doi		= {10.1016/j.epsl.2012.04.042},
2534  volume	= {335-336},
2535  pages		= {226-237},
2536  petsc_uses	= {KSP}
2537}
2538
2539@Article{	  katz10b,
2540  author	= {R.F. Katz},
2541  title		= {Porosity-driven convection and asymmetry beneath mid-ocean ridges},
2542  journal	= {Geochem.\ Geophys.\ Geosys.},
2543  volume	= {10},
2544  number	= {Q0AC07},
2545  year		= {2010},
2546  doi		= {10.1029/2010GC003282},
2547  petsc_uses	= {KSP}
2548}
2549
2550@Article{	  england10,
2551  author	= {P.C. England and R.F. Katz},
2552  title		= {Melting above the anhydrous solidus controls the location of volcanic arcs},
2553  journal	= {Nature},
2554  year		= {2010},
2555  volume	= {467},
2556  pages		= {700--703},
2557  doi		= {10.1038/nature09417},
2558  petsc_uses	= {KSP}
2559}
2560
2561@Article{	  weatherley10,
2562  author	= {S. Weatherley and R.F. Katz},
2563  title		= {Plate-Driven Mantle Dynamics and Global Patterns of Mid-Ocean Ridge Bathymetry},
2564  journal	= {Geochem.\ Geophys.\ Geosys.},
2565  year		= {2010},
2566  volume	= {11},
2567  number	= {10},
2568  doi		= {10.1029/2010GC003192},
2569  petsc_uses	= {KSP}
2570}
2571
2572@Article{	  katz10,
2573  author	= {R.F. Katz and M.G. Worster},
2574  title		= {The stability of ice-sheet grounding lines},
2575  journal	= {Proc.~Roy.~Soc.~A},
2576  year		= {2010},
2577  volume	= {466},
2578  pages		= {1597--1620},
2579  doi		= {10.1098/rspa.2009.0434},
2580  url		= {http://www.earth.ox.ac.uk/~richardk/publications/Katz_Worster_PRSA10.pdf},
2581  petsc_uses	= {KSP}
2582}
2583
2584@Article{	  kyrkesmith2013stress,
2585  title		= {Stress balances of ice streams in a vertically integrated, higher-order
2586		  formulation},
2587  author	= {Kyrke-Smith, T.M. and Katz, R.F. and Fowler, A.C.},
2588  journal	= {Journal of Glaciology},
2589  volume	= {59},
2590  number	= {215},
2591  pages		= {449--466},
2592  year		= {2013},
2593  doi		= {10.3189/2013JoG12J140},
2594  petsc_uses	= {KSP}
2595}
2596
2597@Article{	  takei2013anisotropy1,
2598  author	= {Takei Y. and R.F. Katz},
2599  title		= {{Consequences of viscous anisotropy in a deforming, two-phase aggregate: 1.
2600		  Governing equations and linearised analysis}},
2601  journal	= {J.\ Fluid\ Mech.},
2602  year		= {2013},
2603  volume	= {734},
2604  pages		= {424-455},
2605  doi		= {10.1017/jfm.2013.482},
2606  petsc_uses	= {KSP}
2607}
2608
2609@Article{	  katz2013anisotropy2,
2610  author	= {Katz R.F. and Y. Takei},
2611  title		= {{Consequences of viscous anisotropy in a deforming, two-phase aggregate: 2.
2612		  Numerical solutions of the full equations}},
2613  journal	= {J.\ Fluid\ Mech.},
2614  year		= {2013},
2615  volume	= {734},
2616  pages		= {456-485},
2617  doi		= {10.1017/jfm.2013.483},
2618  petsc_uses	= {KSP}
2619}
2620
2621@Article{	  kyrke-smith2014subglacial,
2622  author	= {Kyrke-Smith, T.M. and R.F. Katz and A.C. Fowler},
2623  title		= {Subglacial hydrology and the formation of ice streams},
2624  journal	= {Proc.\ Roy.\ Soc.\ A},
2625  year		= {2014},
2626  volume	= {470},
2627  number	= {2161},
2628  doi		= {10.1098/rspa.2013.0494},
2629  petsc_uses	= {KSP}
2630}
2631
2632@Article{	  spiegelmanwilsonvankeken2013,
2633  author	= {{Spiegelman}, M.~W. and {Wilson}, C.~R. and {Van Keken}, P.~E. },
2634  title		= {{TerraFERMA: The Transparent Finite Element Rapid Model Assembler for
2635		  multi-physics problems in the solid Earth sciences}},
2636  journal	= {AGU Fall Meeting Abstracts},
2637  keywords	= {0560 COMPUTATIONAL GEOPHYSICS Numerical solutions, 1902 INFORMATICS Community
2638		  modeling frameworks, 1906 INFORMATICS Computational models, algorithms},
2639  year		= {2013},
2640  month		= dec,
2641  pages		= {A2208},
2642  adsurl	= {http://adsabs.harvard.edu/abs/2013AGUFMDI31A2208S},
2643  adsnote	= {Provided by the SAO/NASA Astrophysics Data System},
2644  petsc_uses	= {KSP}
2645}
2646
2647@Article{	  bueler2009shallow,
2648  title		= {{Shallow shelf approximation as a ``sliding law'' in a thermomechanically coupled
2649		  ice sheet model}},
2650  author	= {Ed Bueler and Jed Brown},
2651  journal	= {Journal of Geophysical Research-Earth Surface},
2652  volume	= {114},
2653  number	= {F3},
2654  pages		= {F03008},
2655  year		= {2009},
2656  publisher	= {American Geophysical Union},
2657  petsc_uses	= {KSP}
2658}
2659
2660@Article{	  bueler2007est,
2661  title		= {{Exact solutions to the thermomechanically coupled shallow ice approximation:
2662		  effective tools for verification}},
2663  author	= {Ed Bueler and Jed Brown and Craig Lingle},
2664  journal	= {J. Glaciol},
2665  volume	= {53},
2666  pages		= {499--516},
2667  year		= {2007},
2668  petsc_uses	= {KSP}
2669}
2670
2671@Article{	  bueler2007fcv,
2672  title		= {{Fast computation of a viscoelastic deformable Earth model for ice-sheet
2673		  simulations}},
2674  author	= {Ed Bueler and Craig S. Lingle and Jed Brown},
2675  journal	= {Ann. Glaciol},
2676  volume	= {46},
2677  pages		= {97--105},
2678  year		= {2007},
2679  petsc_uses	= {KSP}
2680}
2681
2682@Article{	  bueler2005iso,
2683  author	= {Ed Bueler and Craig S. Lingle and Jed A. Kallen-Brown and David N. Covey and
2684		  Latrice N. Bowman},
2685  title		= {Exact solutions and numerical verification for isothermal ice sheets},
2686  journal	= {J. Glaciol.},
2687  volume	= {51},
2688  number	= {173},
2689  pages		= {291--306},
2690  year		= {2005},
2691  petsc_uses	= {KSP}
2692}
2693
2694@Article{	  chao2008programming,
2695  title		= {{Programming on Numerical Simulation of Tsunami with PETSc and FEPG}},
2696  author	= {Chao-fan, Z. and Yao-lin, S.},
2697  journal	= {Earthquake},
2698  year		= {2008},
2699  petsc_uses	= {KSP}
2700}
2701
2702@Article{	  marti2014,
2703  author	= {Marti, P. and Schaeffer, N. and Hollerbach, R. and Cébron, D. and Nore, C. and
2704		  Luddens, F. and Guermond, J.-L. and Aubert, J. and Takehiro, S. and Sasaki, Y. and
2705		  Hayashi, Y.-Y. and Simitev, R. and Busse, F. and Vantieghem, S. and Jackson, A.},
2706  title		= {Full sphere hydrodynamic and dynamo benchmarks},
2707  journal	= {Geophysical Journal International},
2708  year		= {2014},
2709  doi		= {10.1093/gji/ggt518},
2710  url		= {http://gji.oxfordjournals.org/content/early/2014/01/26/gji.ggt518.abstract},
2711  petsc_uses	= {KSP}
2712}
2713
2714@InProceedings{	  ganfulukyangxueyang2013,
2715  author	= {Gan, Lin and Fu, Haohuan and Luk, Wayne and Yang, Chao and Xue, Wei and Yang,
2716		  Guangwen},
2717  title		= {Global Atmospheric Simulation on a Reconfigurable Platform},
2718  booktitle	= {Proceedings of the 2013 IEEE 21st Annual International Symposium on
2719		  Field-Programmable Custom Computing Machines},
2720  series	= {FCCM '13},
2721  pages		= {230--},
2722  year		= {2013},
2723  isbn		= {978-0-7695-4969-9},
2724  doi		= {10.1109/FCCM.2013.26},
2725  acmid		= {2495688},
2726  publisher	= {IEEE Computer Society},
2727  petsc_uses	= {KSP}
2728}
2729
2730@InProceedings{	  ganfuchaolukxuemencerhuangyang2014,
2731  author	= {Lin Gan and Haohuan Fu and Chao Yang and Luk, W. and Wei Xue and Mencer, O. and
2732		  Xiaomeng Huang and Guangwen Yang},
2733  booktitle	= {Field Programmable Logic and Applications (FPL), 2014 24th International
2734		  Conference on},
2735  title		= {A highly-efficient and green data flow engine for solving euler atmospheric
2736		  equations},
2737  year		= {2014},
2738  month		= {Sept},
2739  pages		= {1-6},
2740  doi		= {10.1109/FPL.2014.6927462},
2741  petsc_uses	= {KSP}
2742}
2743
2744%Aagaard, B., Williams, C., Knepley, M. (2011). PyLith: A finite-element code for modeling quasi-static and dynamic crustal deformation (abstract), EarthScope National Meeting, Austin, Texas, May 17–20.
2745%Aagaard, B., Williams, C., and Knepley, M. (2011). PyLith: A finite-element code for modeling quasi-static and dynamic crustal deformation (abstract), Southern California Earthquake Center Annual Meeting, Palm Springs, California, September 11–14.
2746%Aagaard, B., Williams, C., and Knepley, M. (2012). PyLith: A Finite-Element Code for Modeling Quasi-Static and Dynamic Crustal Deformation (abstract), Seismological Society of America Annual Meeting, San Diego, California, April 17-19.
2747@Article{	  aagaardknepleywilliams13,
2748  title		= {A Domain Decomposition Approach to Implementing Fault Slip in Finite-Element
2749		  Models of Quasi-static and Dynamic Crustal Deformation},
2750  author	= {Brad T. Aagaard and Matthew G. Knepley and Charles A. Williams},
2751  journal	= {Journal of Geophysical Research: Solid Earth},
2752  volume	= {118},
2753  number	= {6},
2754  pages		= {3059--3079},
2755  issn		= {2169-9356},
2756  doi		= {10.1002/jgrb.50217},
2757  keywords	= {fault slip, finite-element modeling, crustal deformation, earthquake physics},
2758  year		= {2013},
2759  petsc_uses	= {KSP}
2760}
2761
2762@InProceedings{	  aagaardknepleywilliams11,
2763  author	= {Charles A. Williams and Brad Aagaard and Matthew G. Knepley},
2764  title		= {{PyLith}: A Finite-Element Code for Modeling Quasi-Static and Dynamic Crustal
2765		  Deformation},
2766  booktitle	= {Eos Transactions of the AGU},
2767  organization	= {American Geophysical Union},
2768  note		= {Fall Meeting Supplemental, Abstract DI14A-08},
2769  year		= {2011},
2770  petsc_uses	= {KSP}
2771}
2772
2773@InProceedings{	  knepley10b,
2774  author	= {Matthew G. {Knepley}},
2775  title		= {Acceleration of low order finite element computation with {GPUs} (Invited)},
2776  booktitle	= {Eos Transactions of the AGU},
2777  organization	= {American Geophysical Union},
2778  note		= {Fall Meeting Supplemental, Abstract IN44A-01},
2779  year		= {2010},
2780  petsc_uses	= {KSP}
2781}
2782
2783@InProceedings{	  mayknepleygurnis09,
2784  author	= {Dave A. May and Matthew G. Knepley and Michael Gurnis},
2785  title		= {{CitcomSX}: Robust preconditioning in {CitcomS} via {PETSc}},
2786  booktitle	= {Eos Transactions of the AGU},
2787  organization	= {American Geophysical Union},
2788  note		= {Fall Meeting Supplemental, Abstract P31A-A1241},
2789  year		= {2009},
2790  petsc_uses	= {KSP}
2791}
2792
2793@InProceedings{	  yuenknepleyerlebacherwright09,
2794  author	= {David A. Yuen and Matthew G. Knepley and Gordon Erlebacher and Grady B. Wright},
2795  title		= {The Coming Role of {GPU} in Computational Geodynamics},
2796  booktitle	= {Eos Transactions of the AGU},
2797  organization	= {American Geophysical Union},
2798  note		= {Fall Meeting Supplemental, Abstract DI22A-05},
2799  year		= {2009},
2800  petsc_uses	= {KSP}
2801}
2802
2803@InProceedings{	  aagaardknepleywilliams08,
2804  author	= {Brad Aagaard and Charles A. Williams and Matthew G. Knepley},
2805  title		= {{PyLith}: A Finite-Element Code for Modeling Quasi-Static and Dynamic Crustal
2806		  Deformation},
2807  booktitle	= {Eos Transactions of the AGU},
2808  organization	= {American Geophysical Union},
2809  volume	= {89},
2810  number	= {53},
2811  note		= {Fall Meeting Supplemental, Abstract T41A-1925},
2812  year		= {2007},
2813  petsc_uses	= {KSP}
2814}
2815
2816@InProceedings{	  aagaardknepleywilliams07,
2817  author	= {Charles A. Williams and Brad Aagaard and Matthew G. Knepley},
2818  title		= {{PyLith}: A Finite-Element Code for Modeling Quasi-Static and Dynamic Crustal
2819		  Deformation},
2820  booktitle	= {Eos Transactions of the AGU},
2821  organization	= {American Geophysical Union},
2822  volume	= {88},
2823  number	= {52},
2824  note		= {Fall Meeting Supplemental, Abstract T21B-1798},
2825  year		= {2007},
2826  petsc_uses	= {KSP}
2827}
2828
2829@InProceedings{	  aagaardknepleywilliams05,
2830  author	= {Charles A. Williams and Brad Aagaard and Matthew G. Knepley},
2831  title		= {Development of software for studying earthquakes across multiple spatial and
2832		  temporal scales by coupling quasi-static and dynamic simulations},
2833  booktitle	= {Eos Transactions of the AGU},
2834  organization	= {American Geophysical Union},
2835  volume	= {86},
2836  number	= {52},
2837  note		= {Fall Meeting Supplemental, Abstract S53A-1072},
2838  year		= {2005},
2839  petsc_uses	= {KSP}
2840}
2841
2842@InProceedings{	  williamsgablehagermeadeaagaardknepley08,
2843  author	= {Charles A. Williams and Carl Gable and Bradford H. Hager and Brendan Meade and
2844		  Brad Aagaard and Matthew G. Knepley},
2845  title		= {Modeling of Multiple Earthquake Cycles in Southern California Using the {SCEC}
2846		  Community Fault Model},
2847  booktitle	= {Proceedings of Geosciences '08},
2848  address	= {Wellington, NZ},
2849  month		= {November},
2850  year		= {2008},
2851  petsc_uses	= {KSP}
2852}
2853
2854@TechReport{	  zhang07,
2855  title		= {Two New Approaches in Solving the Nonlinear Shallow Water Equations for
2856		  Tsunamis},
2857  author	= {C. Zhang and M. G. Knepley and D. A. Yuen and Y. Shi},
2858  type		= {Preprint},
2859  number	= {ANL/MCS-P1459-0907},
2860  institution	= {ANL},
2861  month		= {September},
2862  year		= {2007},
2863  petsc_uses	= {KSP}
2864}
2865
2866@Article{	  katz08b,
2867  author	= {Richard F. Katz},
2868  title		= {Magma dynamics with the enthalpy method: {B}enchmark solutions and magmatic
2869		  focusing at mid-ocean ridges},
2870  journal	= {J. Petrology},
2871  year		= {2008},
2872  volume	= {49},
2873  pages		= {2099--2121},
2874  doi		= {10.1093/petrology/egn058},
2875  petsc_uses	= {KSP}
2876}
2877
2878@Article{	  hgrhkjvv2008,
2879  title		= {On preconditioning for a parallel solution of the Richards equation},
2880  author	= {Michael Herbst and Swen Gottschalk and Martin Reissel and Horst Hardelauf and Roy
2881		  Kasteel and Matthieu Javaux and Jan Vanderborght and Harry Vereeckena},
2882  journal	= {Computers and Geosciences},
2883  volume	= {34},
2884  pages		= {1958--1963},
2885  year		= {2008},
2886  petsc_uses	= {KSP}
2887}
2888
2889@Article{	  maymoresi2008,
2890  title		= {Preconditioned iterative methods for {Stokes} flow problems arising in
2891		  computational geodynamics},
2892  journal	= {Physics of the Earth and Planetary Interiors},
2893  volume	= {171},
2894  number	= {1-4},
2895  pages		= {33--47},
2896  year		= {2008},
2897  note		= {{R}ecent Advances in Computational Geodynamics: Theory, Numerics and
2898		  Applications},
2899  issn		= {0031-9201},
2900  doi		= {10.1016/j.pepi.2008.07.036},
2901  author	= {Dave A. May and Louis Moresi},
2902  keywords	= {Stokes flow, Krylov, Preconditioner, Schur complement, BFBt},
2903  petsc_uses	= {KSP}
2904}
2905
2906@Article{	  kausmuhlhausmay2010,
2907  title		= {A stabilization algorithm for geodynamic numerical simulations with a free
2908		  surface},
2909  author	= {Boris JP Kaus and Hans M{\"u}hlhaus and Dave A May},
2910  journal	= {Physics of the Earth and Planetary Interiors},
2911  volume	= {181},
2912  number	= {1},
2913  pages		= {12--20},
2914  year		= {2010},
2915  petsc_uses	= {KSP}
2916}
2917
2918@Article{	  duretzmaygeryatackley2011,
2919  title		= {Discretization errors and free surface stabilization in the finite difference and
2920		  marker-in-cell method for applied geodynamics: A numerical study},
2921  author	= {Thibault Duretz and David Alexander May and Taras V Gerya and Paul J Tackley},
2922  journal	= {Geochemistry, Geophysics, Geosystems},
2923  volume	= {12},
2924  number	= {7},
2925  year		= {2011},
2926  petsc_uses	= {KSP}
2927}
2928
2929@Article{	  furuichimaytackley2011,
2930  title		= {Development of a {Stokes} flow solver robust to large viscosity jumps using a
2931		  {Schur} complement approach with mixed precision arithmetic},
2932  author	= {Mikito Furuichi and Dave A May and Paul J Tackley},
2933  journal	= {Journal of Computational Physics},
2934  volume	= {230},
2935  number	= {24},
2936  pages		= {8835--8851},
2937  year		= {2011},
2938  petsc_uses	= {KSP}
2939}
2940
2941@Article{	  kellermaykaus2013,
2942  title		= {Numerical modelling of magma dynamics coupled to tectonic deformation of
2943		  lithosphere and crust},
2944  author	= {Tobias Keller and Dave A May and Boris JP Kaus},
2945  journal	= {Geophysical Journal International},
2946  volume	= {195},
2947  number	= {3},
2948  pages		= {1406--1442},
2949  year		= {2013},
2950  petsc_uses	= {KSP}
2951}
2952
2953@Article{	  schellartfreemanstegmanmoresimay2007,
2954  title		= {Evolution and diversity of subduction zones controlled by slab width},
2955  author	= {WP Schellart and Justin Freeman and David R Stegman and Louis Moresi and David A
2956		  May},
2957  journal	= {Nature},
2958  volume	= {446},
2959  number	= {7133},
2960  pages		= {308--311},
2961  year		= {2007},
2962  petsc_uses	= {KSP}
2963}
2964
2965@Article{	  cramerischmelinggolabekduretzorendtbuitermaykausgeryatackley2012,
2966  title		= {A comparison of numerical surface topography calculations in geodynamic
2967		  modelling: an evaluation of the sticky air method},
2968  author	= {F Crameri and H Schmeling and GJ Golabek and T Duretz and R Orendt and SJH Buiter
2969		  and David A May and Boris JP Kaus and Taras V Gerya and Paul J Tackley},
2970  journal	= {Geophysical Journal International},
2971  volume	= {189},
2972  number	= {1},
2973  pages		= {38--54},
2974  year		= {2012},
2975  petsc_uses	= {KSP}
2976}
2977
2978@Article{	  stegmanfreemanschellartmoresimay2006,
2979  title		= {Influence of trench width on subduction hinge retreat rates in 3-D models of slab
2980		  rollback},
2981  author	= {David R Stegman and Justin Freeman and WP Schellart and Louis Moresi and David A
2982		  May},
2983  journal	= {Geochemistry, Geophysics, Geosystems},
2984  volume	= {7},
2985  number	= {3},
2986  year		= {2006},
2987  petsc_uses	= {KSP}
2988}
2989
2990@InProceedings{	  may2014ptatin,
2991  title		= {{pTatin3D}: {H}igh-performance methods for long-term lithospheric dynamics},
2992  author	= {Dave A May and Jed Brown and Laetitia {Le Pourhiet}},
2993  booktitle	= {Proceedings of {SC14}: The {International Conference for High Performance
2994		  Computing, Networking, Storage and Analysis}},
2995  organization	= {ACM},
2996  pages		= {274--284},
2997  year		= {2014},
2998  doi		= {10.1109/SC.2014.28},
2999  petsc_uses	= {KSP}
3000}
3001
3002@Article{	  maybrownpourhiet2015,
3003  title		= {A scalable, matrix-free multigrid preconditioner for finite element
3004		  discretizations of heterogeneous {Stokes} flow},
3005  author	= {David A May and Jed Brown and Laetitia {Le Pourhiet}},
3006  journal	= {Computer Methods in Applied Mechanics and Engineering},
3007  volume	= {290},
3008  pages		= {496--523},
3009  year		= {2015},
3010  doi		= {10.1016/j.cma.2015.03.014},
3011  petsc_uses	= {KSP}
3012}
3013
3014@Article{	  duretzmayyamato2016,
3015  title		= {A free surface capturing discretization for the staggered grid finite difference
3016		  scheme},
3017  author	= {Thibault Duretz and Dave A May and Philippe Yamato},
3018  journal	= {Geophysical Journal International},
3019  volume	= {204},
3020  number	= {3},
3021  pages		= {1518--1530},
3022  year		= {2016},
3023  petsc_uses	= {KSP}
3024}
3025
3026@Article{	  rhebergenwellskatzwathen2014,
3027  author	= {Sander Rhebergen and Garth N. Wells and Richard F. Katz and Andrew J. Wathen},
3028  title		= {Analysis of block-preconditioners for models of coupled magma/mantle dynamics},
3029  journal	= {SIAM J. Sci. Comput.},
3030  volume	= {36},
3031  pages		= {A1960--A1977},
3032  year		= {2014},
3033  petsc_uses	= {KSP}
3034}
3035
3036@Article{	  katz08a,
3037  author	= {R.F. Katz and M.G. Worster},
3038  title		= {Simulation of directional solidification, thermochemical convection, and chimney
3039		  formation in a {H}ele-{S}haw cell},
3040  journal	= {J. Comp. Phys.},
3041  volume	= {227},
3042  pages		= {9823-9840},
3043  year		= {2008},
3044  doi		= {10.1016/j.jcp.2008.06.039},
3045  petsc_uses	= {KSP}
3046}
3047
3048@Article{	  aabg2007,
3049  author	= {A. Askan and V. Akcelik and J. Bielak and O. Ghattas},
3050  title		= {Full waveform inversion for seismic velocity and anelastic losses in
3051		  heterogeneous structures},
3052  journal	= {Bulletin of Seismological Society of America},
3053  year		= {2007},
3054  volume	= {97},
3055  pages		= {1990--2008},
3056  petsc_uses	= {KSP}
3057}
3058
3059@Article{	  katz2006,
3060  author	= {Richard F. Katz and Marc Spiegelman and Benjamin Holtzman},
3061  title		= {The dynamics of melt and shear localization in partially molten aggregates},
3062  journal	= {Nature},
3063  year		= {2006},
3064  volume	= {442},
3065  pages		= {676--679},
3066  month		= {August},
3067  day		= {10},
3068  url		= {http://www.nature.com/nature/journal/v442/n7103/abs/nature05039.html},
3069  petsc_uses	= {KSP}
3070}
3071
3072@InProceedings{	  mqrs2003,
3073  author	= {Roland Masson and Philippe Quandalle and Stephane Requena and Robert Scheichl},
3074  year		= {2003},
3075  title		= {Parallel Preconditioning for Sedimentary Basin Simulations},
3076  booktitle	= {Large-Scale Scientific Computing: 4th International Conference, LSSC 2003,
3077		  Sozopol, Bulgaria, June 4-8, 2003},
3078  petsc_uses	= {KSP}
3079}
3080
3081@InProceedings{	  lichtner1,
3082  author	= {Chuan Lu and Peter C. Lichtner},
3083  year		= {2005},
3084  title		= {{PFLOTRAN}: Massively Parallel {3-D} Simulator for {CO2} Sequestration in
3085		  Geologic Media},
3086  booktitle	= {Fourth Annual Conference on Carbon Capture and Sequestration DOE/NETL},
3087  lab		= {LANL},
3088  petsc_uses	= {KSP}
3089}
3090
3091@Article{	  hammondlichtnermills2014,
3092  title		= {Evaluating the Performance of Parallel Subsurface Simulators: An Illustrative
3093		  Example with {PFLOTRAN}},
3094  author	= {Glenn E. Hammond and Peter C. Lichtner and Richard Tran Mills},
3095  journal	= {Water Resources Research},
3096  volume	= {50},
3097  number	= {1},
3098  pages		= {208--228},
3099  doi		= {10.1002/2012WR013483},
3100  year		= {2014},
3101  petsc_uses	= {KSP}
3102}
3103
3104@Article{	  smw2003,
3105  author	= {R. Scheichl and R. Masson and J. Wendebourg},
3106  title		= {Decoupling and Block Preconditioning for Sedimentary Basin Simulations},
3107  journal	= {Computational Geosciences},
3108  year		= {2003},
3109  volume	= {7},
3110  pages		= {295--318},
3111  url		= {http://www.maths.bath.ac.uk/MATHEMATICS/preprints.html},
3112  petsc_uses	= {KSP}
3113}
3114
3115@Article{	  kees-miller-03,
3116  author	= {C. E. Kees and C.T. Miller and E.W. Jenkins and C.T. Kelley},
3117  title		= {Versatile multilevel Schwarz preconditioners for multiphase flow},
3118  journal	= {Computational Geosciences},
3119  year		= {2003},
3120  volume	= {7},
3121  pages		= {91--114},
3122  petsc_uses	= {KSP}
3123}
3124
3125@Article{	  bk2003,
3126  author	= {JN Buur and T Kuehnel},
3127  title		= {Improving depth imaging by automated model updating},
3128  journal	= {The Leading Edge},
3129  year		= {2003},
3130  volume	= {22},
3131  pages		= {310-318},
3132  petsc_uses	= {KSP}
3133}
3134
3135@Article{	  frederickbuffett2016,
3136  title		= {Submarine groundwater discharge as a possible formation mechanism for
3137		  permafrost-associated gas hydrate on the circum-Arctic continental shelf},
3138  author	= {Jennifer M. Frederick and Bruce A. Buffett},
3139  journal	= {Journal of Geophysical Research: Solid Earth},
3140  volume	= {121},
3141  number	= {3},
3142  pages		= {1383--1404},
3143  issn		= {2169-9356},
3144  doi		= {10.1002/2015JB012627},
3145  year		= {2016},
3146  petsc_uses	= {KSP}
3147}
3148
3149% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
3150% LiteralHTML:<font color="#FF0000">
3151% LiteralHTML:Simulation of the earth's mantle and crust is valuable to
3152% LiteralHTML:understanding earthquakes, volcanos, etc. PETSc has been used for a
3153% LiteralHTML:variety of these simulations.</p>
3154% LiteralHTML:</font>
3155% LiteralHTML:
3156@InProceedings{	  appelbe1,
3157  author	= {B. Appelbe and D. May and S. Quenette and S. Tang and F. Wang and L. Moresi},
3158  year		= {2003},
3159  title		= {Mantle convection modeling with viscoelastic/brittle lithosphere: Numerical and
3160		  computational methodology},
3161  page		= {781},
3162  booktitle	= {Lecture Notes in Computer Science, volume 2659, part of the ICCS Conference
3163		  Proceedings},
3164  publisher	= {Springer-Verlag},
3165  url		= {http://vpac.org/VDT/SNARK/Presentations/RD0201-paper-20030602-ICCS03_ACES03_LNCS-mantle_convection_modelling.pdf},
3166  petsc_uses	= {KSP}
3167}
3168
3169% LiteralHTML:<a name="katz">
3170@InProceedings{	  gd1,
3171  author	= {Guillaume Dumont and Michel Kern},
3172  title		= {Parallelization of a 3D Seismic Migration Code with PETSc},
3173  year		= {1999},
3174  booktitle	= {Proceedings of the Ninth SIAM Conference on Parallel Processing for Scientific
3175		  Computing},
3176  petsc_uses	= {KSP}
3177}
3178
3179% LiteralHTML: <center><img  alt="" src="images/katz1.jpg">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<img  alt="" src="images/katz3.jpg">
3180% LiteralHTML: &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<img  alt="" src="images/katz2.jpg"></center></p>
3181% LiteralHTML:<font color="#FF0000">
3182% LiteralHTML: Figures from the work of Richard Katz
3183@PhDThesis{	  katzthesis,
3184  author	= {R.F. Katz},
3185  title		= {The deep roots of volcanoes: models of magma dynamics with applications to
3186		  subduction zones},
3187  school	= {Columbia University},
3188  year		= {2005},
3189  url		= {http://www.ldeo.columbia.edu/\~{ }katz/thesis/Katz_Dissertation_Columbia05.pdf},
3190  petsc_uses	= {KSP}
3191}
3192
3193@InCollection{	  knepleykatzsmith06,
3194  author	= {Knepley, Matthew G. and Katz, Richard F. and Smith, Barry},
3195  affiliation	= {Argonne National Laboratory Mathematics and Computer Science Division Argonne IL
3196		  USA},
3197  title		= {Developing a Geodynamics Simulator with {PETSc}},
3198  booktitle	= {Numerical Solution of Partial Differential Equations on Parallel Computers},
3199  series	= {Lecture Notes in Computational Science and Engineering},
3200  editor	= {Bruaset, Are Magnus and Tveito, Aslak},
3201  publisher	= {Springer Berlin Heidelberg},
3202  isbn		= {978-3-540-31619-0},
3203  keyword	= {Mathematics and Statistics},
3204  pages		= {413-438},
3205  volume	= {51},
3206  doi		= {10.1007/3-540-31619-1_12},
3207  year		= {2006},
3208  petsc_uses	= {KSP}
3209}
3210
3211@Article{	  katz04,
3212  author	= {Richard F. Katz and Marc Spiegelman and S.M. Carbotte},
3213  title		= {Ridge migration, asthenospheric flow and the origin of magmatic segmentation in
3214		  the global mid-ocean ridge system},
3215  journal	= {Geophys.\ Res.\ Letts.},
3216  year		= {2004},
3217  volume	= {31},
3218  pages		= {L15605},
3219  petsc_uses	= {KSP}
3220}
3221
3222@Article{	  katz07,
3223  author	= {Richard F. Katz and Matthew G. Knepley and Barry Smith and Marc Spiegelman and
3224		  Ethan Coon},
3225  title		= {Numerical simulation of geodynamic processes with the {Portable Extensible
3226		  Toolkit for Scientific Computation}},
3227  journal	= {Phys. Earth Planet. In.},
3228  volume	= {163},
3229  pages		= {52--68},
3230  year		= {2007},
3231  petsc_uses	= {KSP}
3232}
3233
3234@Article{	  williams2006development,
3235  title		= {{Development of a package for modeling stress in the lithosphere}},
3236  author	= {Williams, CA},
3237  journal	= {Eos Trans. AGU},
3238  volume	= {87},
3239  pages		= {36},
3240  year		= {2006},
3241  petsc_uses	= {KSP}
3242}
3243
3244@Article{	  goverswortel05,
3245  author	= {R. Govers and M.J.R. Wortel},
3246  title		= {Lithosphere tearing at STEP faults: response to edges of subduction zones},
3247  journal	= {Earth and Planetary Science Letters},
3248  volume	= {236/1-2},
3249  pages		= {505-523},
3250  year		= {2005},
3251  petsc_uses	= {KSP}
3252}
3253
3254@InProceedings{	  snark2,
3255  author	= {B. Appelbe and D. May and S. Quenette and S. Tang and F. Wang and L. Moresi},
3256  year		= {2002},
3257  title		= {Towards Rapid Geoscience Model Development - The {Snark} Project},
3258  booktitle	= {Proceedings of 3rd ACES (APEC Cooperation for Earthquake Simulation) Workshop},
3259  petsc_uses	= {KSP}
3260}
3261
3262@Article{	  snark1,
3263  author	= {Bill Appelbe and David May and Louis Moresi and Steve Quenette and Siew-Chiang
3264		  Tan and Feng Wang},
3265  title		= {Snark - A Reusable Framwork for Geoscience Computational Models},
3266  journal	= {Submitted to Pure and Applied Geosciences},
3267  petsc_uses	= {KSP}
3268}
3269
3270@InProceedings{	  earthquake2003,
3271  author	= {Volkan Akcelik and Jacobo Bielak and George Biros and Ioannis Epanomeritakis and
3272		  Antonio Fernandez and Omar Ghattas and Eui Joong Kim and David O'Hallaron and
3273		  Tiankai Tu},
3274  year		= {2003},
3275  title		= {High Resolution Forward and Inverse Earthquake Modeling on Terascale Computers},
3276  booktitle	= {Proceedings of SC2003},
3277  note		= {A winner of the Gordon Bell Prize for special achievement at SC2003},
3278  petsc_uses	= {KSP}
3279}
3280
3281@InProceedings{	  stefano12,
3282  author	= {Michele De Stefano},
3283  title		= {Simultaneous Joint Inversion of Refraction Tomography and Magnetic Data},
3284  booktitle	= {PIERS Proceedings},
3285  month		= {August},
3286  address	= {Moscow, RUSSIA},
3287  pages		= {491--495},
3288  year		= {2012},
3289  petsc_uses	= {KSP}
3290}
3291
3292%http://www.piers.org/piersproceedings/download.php?file=cGllcnMyMDEyTW9zY293fDJBN18wNDkxLnBkZnwxMjAzMTUwNDE2MDY=
3293
3294% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
3295% LiteralHTML: <center><img alt=""
3296% LiteralHTML: src="images/ocean.jpg"></center></p>
3297@Article{	  khatiwala07,
3298  author	= {Khatiwala, S.},
3299  title		= {A computational framework for simulation of biogeochemical tracers in the ocean},
3300  journal	= {Glob. Biogeochem. Cycles},
3301  volume	= {21},
3302  doi		= {10.1029/2007GB002923},
3303  year		= {2007},
3304  url		= { http://www.ldeo.columbia.edu/\~{ }spk/Papers/KhatiwalaMatrixBiogeochemGBC07.pdf}
3305}
3306
3307@Article{	  dks2004,
3308  author	= {Sergey Danilov, Gennady Kivman and Jens Schroeter},
3309  journal	= {Ocean Modelling},
3310  year		= {2004},
3311  volume	= {6(2)},
3312  pages		= {125-150},
3313  title		= {A finite-element Ocean Model: Principles and Evaluation},
3314  url		= {http://www.sciencedirect.com/science?_ob=IssueURL&_tockey=%23TOC%236214%232004%23999939997%231%23FLA%23Volume_6,_Issue_2,_Pages_101-190_(2004)&_auth=y&view=c&_acct=C000007278&_version=1&_urlVersion=0&_userid=97338&md5=c3a50a31c599d8d38c8ce1f29117f267},
3315  petsc_uses	= {KSP}
3316}
3317
3318@Article{	  danilov1,
3319  author	= {S. Danilov and G. Kivman and J. Schroter},
3320  year		= {2004},
3321  title		= {Evaluation of an eddy-permitting finite-element ocean model in the North
3322		  Atlantic},
3323  journal	= {Ocean Modelling},
3324  petsc_uses	= {KSP}
3325}
3326
3327@Article{	  nerger1,
3328  author	= {L. Nerger and S. Danilov and G. Kivman and W. Hiller and J. Schroter},
3329  year		= {2004},
3330  title		= {Data Assimilation with the Ensemble Kalman Filter and the SEIK Filter applied to
3331		  a Finite Element Model of the North Atlantic},
3332  journal	= {Journal of marine systems},
3333  petsc_uses	= {KSP}
3334}
3335
3336@Conference{	  rakowsky2003self,
3337  title		= {{A self-adaptive finite element model of the atmosphere}},
3338  author	= {Rakowsky, N. and Frickenhaus, S. and Hiller, W. and L{\\"a}uter, M. and Handorf,
3339		  D. and Dethloff, K. and Zwieflhofer, W. and Kreitz, N.},
3340  booktitle	= {Realizing teracomputing: proceedings of the tenth ECMWF Workshop on the Use of
3341		  High Performance Computing in Meteorology: Reading, UK, 4-8 November, 2002},
3342  pages		= {279},
3343  isbn		= {981238376X},
3344  year		= {2003},
3345  organization	= {World Scientific Pub Co},
3346  petsc_uses	= {KSP}
3347}
3348
3349@Article{	  lauter3,
3350  author	= {M. Lauter},
3351  year		= {2004},
3352  title		= {GrossrAumige Zirkulationsstrukturen in einem nichtlinearen adaptiven
3353		  AtmosphArenmodell},
3354  journal	= {Berichte zur Polar- und Meeresforschung},
3355  petsc_uses	= {KSP}
3356}
3357
3358@Article{	  lauter2,
3359  author	= {M. Lauter and D. Handorf and K. Dethloff},
3360  year		= {2004},
3361  title		= {Unsteady analytical solutions of the spherical shallow water equations},
3362  journal	= {Journal of computational physics},
3363  petsc_uses	= {KSP}
3364}
3365
3366@PhDThesis{	  lauter1,
3367  author	= {M. Lauter},
3368  year		= {2004},
3369  title		= {GrossAumige Zirkulationsstrukturen in einem nichtlinearen adaptiven
3370		  AtmosphArenmodell},
3371  institution	= {UniversitAt Potsdam, 134 P., UniversitAt Potsdam},
3372  petsc_uses	= {KSP}
3373}
3374
3375@Article{	  frickenhaus1,
3376  author	= {S. Frickenhaus and W. Hiller and M. Best},
3377  year		= {2005},
3378  title		= {FoSSI : The Family of Simplified Solver Interfaces for the rapid development of
3379		  parallel numerical atmosphere and ocean models},
3380  journal	= {Ocean Modelling},
3381  volume	= {10},
3382  pages		= {185--191},
3383  petsc_uses	= {KSP}
3384}
3385
3386@Article{	  0266-5611-24-3-034015,
3387  author	= {I Epanomeritakis and V Ak\c{c}elik and O Ghattas and J Bielak},
3388  title		= {A Newton-CG method for large-scale three-dimensional elastic full-waveform
3389		  seismic inversion},
3390  journal	= {Inverse Problems},
3391  volume	= {24},
3392  number	= {3},
3393  pages		= {034015 (26pp)},
3394  url		= {http://stacks.iop.org/0266-5611/24/034015},
3395  year		= {2008},
3396  abstract	= {We present a nonlinear optimization method for large-scale 3D elastic
3397		  full-waveform seismic inversion. The method combines outer Gauss-Newton nonlinear
3398		  iterations with inner conjugate gradient linear iterations, globalized by an
3399		  Armijo backtracking line search, solved on a sequence of finer grids and higher
3400		  frequencies to remain in the vicinity of the global optimum, inexactly terminated
3401		  to prevent oversolving, preconditioned by L-BFGS/Frankel, regularized by a total
3402		  variation operator to capture sharp interfaces, finely discretized by finite
3403		  elements in the Lam\'{e} parameter space to provide flexibility and avoid bias,
3404		  implemented in matrix-free fashion with adjoint-based computation of reduced
3405		  gradient and reduced Hessian-vector products, checkpointed to avoid full spacetime
3406		  waveform storage, and partitioned spatially across processors to parallelize the
3407		  solutions of the forward and adjoint wave equations and the evaluation of
3408		  gradient-like information. Several numerical examples demonstrate the grid
3409		  independence of linear and nonlinear iterations, the effectiveness of the
3410		  preconditioner, the ability to solve inverse problems with up to 17 million
3411		  inversion parameters on up to 2048 processors, the effectiveness of multiscale
3412		  continuation in keeping iterates in the basin of attraction of the global minimum,
3413		  and the ability to fit the observational data while reconstructing the model with
3414		  reasonable resolution and capturing sharp interfaces.},
3415  petsc_uses	= {KSP}
3416}
3417
3418% LiteralHTML:
3419% LiteralHTML:  <a name="environmental"><H3><center>Environmental -- Subsurface Flow</center></H3>
3420% LiteralHTML:
3421% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
3422% LiteralHTML:<font color="#FF0000">
3423% LiteralHTML:Modeling surface flow of water is valuable for both flood control and
3424% LiteralHTML:agricultural and environmental reasons. For example, regenerating the
3425% LiteralHTML:Florida Everglades requires extensive understanding of the surface water
3426% LiteralHTML:characteristics over thousands of square miles. PETSc has been used
3427% LiteralHTML:for a variety of these simulations.</p>
3428% LiteralHTML:</font>
3429% LiteralHTML:
3430@Article{	  mills2009modeling,
3431  title		= {Modeling subsurface reactive flows using leadership-class computing},
3432  author	= {Mills, R.T. and Hammond, G.E. and Lichtner, P.C. and Sripathi, V. and
3433		  Mahinthakumar, G.K. and Smith, B.F.},
3434  journal	= {Journal of Physics: Conference Series},
3435  volume	= {180},
3436  pages		= {012062},
3437  year		= {2009},
3438  publisher	= {IOP Publishing},
3439  petsc_uses	= {KSP}
3440}
3441
3442@Conference{	  mills2007simulating,
3443  title		= {{Simulating subsurface flow and transport on ultrascale computers using
3444		  PFLOTRAN}},
3445  author	= {Mills, R.T. and Lu, C. and Lichtner, P.C. and Hammond, G.E.},
3446  booktitle	= {Journal of Physics: Conference Series},
3447  volume	= {78},
3448  pages		= {012051},
3449  year		= {2007},
3450  organization	= {IOP Publishing},
3451  petsc_uses	= {KSP}
3452}
3453
3454@InProceedings{	  mills2009,
3455  title		= {Modeling subsurface reactive flows using leadership-class computing},
3456  author	= {Mills, R.T. and Hammond, G.E. and Lichtner, P.C. and Sripathi, V. and
3457		  Mahinthakmuar, G. and Smith, B.},
3458  booktitle	= {Journal of Physics: Conference Series},
3459  volume	= {180},
3460  pages		= {102062},
3461  year		= {2009},
3462  organization	= {IOP Publishing},
3463  petsc_uses	= {KSP}
3464}
3465
3466@Article{	  guo2013parallel,
3467  title		= {A parallel, fully coupled, fully implicit solution to reactive transport in
3468		  porous media using the preconditioned {J}acobian-{F}ree {N}ewton-{K}rylov Method
3469		  },
3470  journal	= {Advances in Water Resources },
3471  volume	= {53},
3472  number	= {0},
3473  pages		= {101 - 108},
3474  year		= {2013},
3475  note		= {},
3476  issn		= {0309-1708},
3477  doi		= {10.1016/j.advwatres.2012.10.010},
3478  author	= {Luanjing Guo and Hai Huang and Derek R. Gaston and Cody J. Permann and David
3479		  Andrs and George D. Redden and Chuan Lu and Don T. Fox and Yoshiko Fujita},
3480  keywords	= {Reactive transport, Jacobian-Free Newton-Krylov, Physics-based block
3481		  preconditioner},
3482  petsc_uses	= {KSP}
3483}
3484
3485@Unpublished{	  stomp,
3486  title		= {STOMP (Subsurface Transport Over Multiple Phases) webpage},
3487  url		= {http://stomp.pnl.gov/},
3488  petsc_uses	= {KSP}
3489}
3490
3491@InProceedings{	  htfc2003,
3492  author	= {L. Hluchy and V.D. Tran and D.Froehlich and W.Castaings},
3493  title		= {Methods and Experiences For Parallelizing Flood Models},
3494  year		= {2003},
3495  booktitle	= {Recent Advances in Parallel Virtual Machine and Message Passing Interface: 10th
3496		  European PVM/MPI User's Group Meeting},
3497  note		= {Springer Lecture Notes in Computer Science, Volume 2840},
3498  url		= {http://www.springerlink.com/app/home/contribution.asp?wasp=2e9afcba8f614cd9a6f94a5294d1cbb0&referrer=parent&backto=issue,93,95;journal,588,1972;linkingpublicationresults,1:105633,1},
3499  petsc_uses	= {KSP}
3500}
3501
3502@InProceedings{	  hulchy-tran-astalos-fmsip,
3503  author	= {L. Hluchy and V.D. Tran and J. Astalos and M. Dobrucky and G. T. Nguyen and
3504		  D.Froehlich},
3505  title		= {Flood Modeling System and Its Parallelization},
3506  year		= {2002},
3507  booktitle	= {Proceedings of the International Conference on Parallel Computing in Electrical
3508		  Engineering},
3509  url		= {http://portal.acm.org/citation.cfm?id=824476.825951},
3510  petsc_uses	= {KSP}
3511}
3512
3513@InProceedings{	  gy1,
3514  author	= {J. P. Gwo and G. T. Yeh},
3515  title		= {High-Performance Simulation of Surface-Subsurface Coupled Flow and Reactive
3516		  Transport at Watershed Scale},
3517  year		= {2004},
3518  booktitle	= {The International Conference on Computational Methods},
3519  url		= {http://www.sfwmd.gov/org/era/uncertainty_wkshp/GwoYeh.pdf},
3520  petsc_uses	= {KSP}
3521}
3522
3523@Conference{	  cheng2009efficient,
3524  title		= {{An efficient parallel method for large-scale groundwater flow equation based on
3525		  PETSc}},
3526  author	= {Cheng, T. and Ji, X. and Wang, Q.},
3527  booktitle	= {Information, Computing and Telecommunication, 2009. YC-ICT'09. IEEE Youth
3528		  Conference on},
3529  pages		= {190--193},
3530  organization	= {IEEE},
3531  petsc_uses	= {KSP}
3532}
3533
3534@Unpublished{	  sfrsm,
3535  title		= {The South Florida Regional Simulation Model and Hydrologic Simulation Engine},
3536  url		= {http://www.sfwmd.gov/org/pld/hsm/cerp_pres/hse_num.pdf},
3537  note		= {Simulates overland, groundwater and canal flows for south Florida. Uses PETSc for
3538		  its linear solves},
3539  petsc_uses	= {KSP}
3540}
3541
3542% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
3543@InProceedings{	  bart_omar:sc05,
3544  author	= {Volkan Ak{\c c}elik and George Biros and Andrei Dr{\u{a}}g{\u{a}}nescu and Omar
3545		  Ghattas and Judith~C. Hill and Gart~G. van Bloemen Waanders},
3546  title		= {Dynamic data driven inversion for terascale simulations: real-time
3547		  indentification of airborne contaminants},
3548  booktitle	= {Proceedings of SC2005},
3549  organization	= {IEEE/ACM},
3550  address	= {Seattle, WA},
3551  year		= {2005},
3552  month		= {November},
3553  url		= {http://www.cs.cmu.edu/\~{ }oghattas/papers/sc05-inverse.pdf},
3554  lab		= {SNL},
3555  petsc_uses	= {KSP}
3556}
3557
3558@InProceedings{	  anton-krassimir-lscc,
3559  author	= {Anton Antonov and Krassimir Georgiev and Emilia Komsalova and Zahari Zlatev},
3560  title		= {Comparison of Two Local Refinement Methods for Large Scale Air Pollution
3561		  Simulations},
3562  booktitle	= {Large-Scale Scientific Computing: 4th International Conference, LSSC 2003},
3563  volume	= {2907},
3564  year		= {2003},
3565  publisher	= {Springer-Verlag},
3566  url		= {http://www.springerlink.com/app/home/contribution.asp?wasp=65dfaebc36f6453d9120b8f9f86fecc5&referrer=parent&backto=issue,32,55;journal,618,2072;linkingpublicationresults,1:105633,1},
3567  petsc_uses	= {KSP}
3568}
3569
3570@InProceedings{	  aa2001,
3571  author	= {Anton Antonov},
3572  title		= {Object-Oriented Framework for Large Scale Air Pollution Modeling},
3573  year		= {2001},
3574  booktitle	= {Large-Scale Scientific Computing : Third International Conference, LSSC 2001,
3575		  Sozopol, Bulgaria},
3576  note		= {Springer Lecture Notes in Computer Science, Volume 2179},
3577  url		= {http://www.springerlink.com/app/home/contribution.asp?wasp=3699c48fdb764bc7a3aa0539c7bf9f1d&referrer=parent&backto=issue,25,52;journal,1243,1972;linkingpublicationresults,1:105633,1},
3578  petsc_uses	= {KSP}
3579}
3580
3581% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
3582@Article{	  grassley-simmons-kercher-00,
3583  author	= {William E. Glassley and Ardyth M. Simmons and James R. Kercher},
3584  year		= {2000},
3585  title		= {Mineralogical heterogeneity in fractured, porous media and its representation in
3586		  reactive transport models},
3587  journal	= {Applied Geochemistry},
3588  volume	= {17},
3589  pages		= {699--708},
3590  lab		= {LLNL}
3591}
3592
3593@Article{	  glassey-nitao-03,
3594  author	= {William E. Glassley and John J. Nitao and Charles W. Grant and James W. Johnson
3595		  and Carl I. Steefel and James R. Kercher},
3596  year		= {2003},
3597  title		= {The impact of climate change on vadose zone pore waters and its implication for
3598		  long-term monitoring},
3599  journal	= {Computers and Geosciences},
3600  volume	= {29},
3601  pages		= {399-411},
3602  lab		= {LLNL},
3603  petsc_uses	= {KSP}
3604}
3605
3606@Article{	  steefel-depaolo-lichtner-05,
3607  author	= {Carl I. Steefel and Donald J. DePaolo and Peter C. Lichtner},
3608  year		= {2005},
3609  title		= {Reactive transport modeling: An essential tool and a new research approach for
3610		  the Earth sciences},
3611  journal	= {Earth and Planetary Science Letters},
3612  lab		= {LLNL,LANL},
3613  petsc_uses	= {KSP}
3614}
3615
3616% LiteralHTML:<a name="scalinglarge">
3617% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
3618% LiteralHTML: <center><img  alt=""
3619% LiteralHTML: src="images/scalinglarge.jpg"></center></p>
3620% LiteralHTML:<font color="#FF0000">
3621% LiteralHTML: Sample <strong>strong scaling</strong> for the LANL PFLOTRAN flow and geochemical transport suite. (Courtesy of Richard Mills, ORNL)
3622@InProceedings{	  kongstognergastonpetersonpermannslaughtermartineau2018,
3623  title		= {A General-Purpose Hierarchical Mesh Partitioning Method with Node Balancing
3624		  Strategies for Large-Scale Numerical Simulations},
3625  author	= {Fande Kong and Roy H. Stogner and Derek R. Gaston and John W. Peterson and Cody
3626		  J. Permann and Andrew E. Slaughter and Richard C. Martineau},
3627  booktitle	= {2018 IEEE/ACM 9th Workshop on Latest Advances in Scalable Algorithms for
3628		  Large-Scale Systems (scalA)},
3629  pages		= {65-72},
3630  doi		= {10.1109/ScalA.2018.00012},
3631  month		= {Nov},
3632  year		= {2018},
3633  petsc_uses	= {KSP}
3634}
3635
3636@Article{	  km2004,
3637  author	= {A. Keese and H. G. Matthies},
3638  journal	= {Computers and Structures},
3639  year		= {2005},
3640  volume	= {83},
3641  pages		= {1033--1047},
3642  title		= {Hierarchical parallelisation for the solution of stochastic finite element
3643		  equations},
3644  url		= {http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V28-4FPDPWM-1&_user=1722207&_rdoc=1&_fmt=&_orig=search&_sort=d&_docanchor=&view=c&_acct=C000053990&_version=1&_urlVersion=0&_userid=1722207&md5=89d48cd6fd5e80989372246d8dda400f},
3645  petsc_uses	= {KSP}
3646}
3647
3648@Unpublished{	  hvl2002,
3649  title		= {Numerical Modeling of NAPL Source Zone Treatment},
3650  author	= {Hammond, G.E., A.J. Valocchi and P.C. Lichtner},
3651  note		= {Poster at American Geophysical Union Fall 2002 Meeting, San Francisco, CA.},
3652  url		= {http://cee.uiuc.edu/transport/hammond/agu_2002.pdf},
3653  year		= {2002},
3654  lab		= {LANL},
3655  petsc_uses	= {KSP}
3656}
3657
3658@PhDThesis{	  hammond2003,
3659  author	= {Glenn E. Hammond},
3660  title		= {Innovative Methods for Solving Multicomponent Biogeochemical Groundwater
3661		  Transport on Supercomputers},
3662  school	= {University of Illinois at Urbana-Champaign},
3663  year		= {2003},
3664  url		= {http://cee.uiuc.edu/transport/hammond/dissertation.pdf},
3665  petsc_uses	= {KSP}
3666}
3667
3668@Unpublished{	  uk,
3669  title		= {Parallel Least-Squares Finite Element Method for Large Eddy Simulation of Large
3670		  Scale Environmental Flows and Transport Processes},
3671  url		= {http://es.epa.gov/ncer/progress/grants/96/high/tsang99.html},
3672  note		= {EPA funded work to simulate turbulent dispersion of toxic chemicals around
3673		  buildings and in Green Bay. Used PETSc for its linear solvers},
3674  year		= {1999},
3675  petsc_uses	= {KSP}
3676}
3677
3678@InProceedings{	  hammond2002,
3679  author	= {Glenn E. Hammond and Albert J. Valocchi and Peter C. Lichtner},
3680  title		= {Modeling Multicomponent Reactive Transport on Parallel Computers Using
3681		  {J}acobian-Free {N}ewton {K}rylov with Operator-Split Preconditioners},
3682  year		= {2002},
3683  url		= {http://www.cee.uiuc.edu/transport/publications/hammond/CMWR_2002.pdf},
3684  booktitle	= {Proceedings of the XIV International Conference on Computational Methods in Water
3685		  Resources, Delft, The Netherlands.},
3686  lab		= {LANL},
3687  petsc_uses	= {KSP}
3688}
3689
3690@TechReport{	  steefel1,
3691  author	= {C. I. Steefel},
3692  title		= {Software for modeling multicomponent, multidimensional reactive transport},
3693  year		= {2001},
3694  institution	= {Lawrence Livermore National Laboratory},
3695  number	= {UCRL-MA-143182},
3696  lab		= {LLNL},
3697  petsc_uses	= {KSP}
3698}
3699
3700@Article{	  steefel2,
3701  author	= {C. I. Steefel and A. C. Lasaga},
3702  title		= {A coupled model for transport of multiple chemical-species and kinetic
3703		  precipitation dissolution reactions with application to reactive flow in
3704		  single-phase hydrothermal systems},
3705  journal	= {Americal Journal of Science},
3706  year		= {1994},
3707  pages		= {529-592},
3708  volume	= {294},
3709  number	= {5},
3710  petsc_uses	= {KSP}
3711}
3712
3713@TechReport{	  steefel3,
3714  author	= {C. I. Steefel and S. B. Yabusaki},
3715  title		= {OS3D/GIMRT, Software for Multicomponent-Multidimensional reactive transport:
3716		  User's manual and programmer's guide},
3717  year		= {1996},
3718  institution	= {Pacific Northwest National Laboratory},
3719  number	= {PNNL-11166},
3720  lab		= {PNNL},
3721  petsc_uses	= {KSP}
3722}
3723
3724@Article{	  2005hvl,
3725  author	= {G. E. Hammond and A.J. Valocchi and P.C. Lichtner},
3726  title		= {Application of {J}acobian-free {N}ewton-{K}rylov with physics-based
3727		  preconditioning to biogeochemical transport},
3728  journal	= {Advances in Water Resources},
3729  year		= {2005},
3730  pages		= {359--376},
3731  volume	= {28},
3732  url		= {
3733		  http://www.sciencedirect.com/science?_ob=IssueURL&_tockey=%23TOC%235953%232005%23999719995%23576651%23FLA%23Volume_28,_Issue_4,_Pages_315-427_(April_2005)&_auth=y&view=c&_acct=C000059129&_version=1&_urlVersion=0&_userid=2914253&md5=0d485527443c6192356cc508e1621002},
3734  lab		= {LANL},
3735  petsc_uses	= {KSP}
3736}
3737
3738@Article{	  wang-zabar-05,
3739  author	= {J Wang and N Zabaras},
3740  journal	= {Int. J. Heat and Mass Transfer},
3741  title		= {A Markov random field model of contamination source identification in porous
3742		  media flow},
3743  year		= {2005},
3744  petsc_uses	= {KSP}
3745}
3746
3747@InBook{	  kp1,
3748  author	= {Jong G. Kim and Hyoung W. Park},
3749  chapter	= {Advanced Simulation Technique for Modeling Multiphase Fluid Flow in Porous
3750		  Media},
3751  url		= {http://www.springerlink.com/app/home/contribution.asp?wasp=m5uc84pqrh1qrg8clyuh&referrer=parent&backto=issue,1,117;journal,206,1787;linkingpublicationresults,1:105633,1},
3752  title		= {Lecture Notes in Computer Science},
3753  publisher	= {Springer-Verlag},
3754  volume	= {3044},
3755  year		= {2004},
3756  petsc_uses	= {KSP}
3757}
3758
3759@Article{	  2001agusm...h32a06k,
3760  author	= {{Kim}, J.~G. and {Kim}, J.},
3761  title		= {Parallel Implementation of Finite Element Groundwater Flow Model},
3762  journal	= {AGU Spring Meeting Abstracts},
3763  year		= {2001},
3764  pages		= {32-+},
3765  petsc_uses	= {KSP}
3766}
3767
3768@Article{	  lzb2005,
3769  author	= {A. M. Wasantha Lal and Randy Van Zee and Mark Belnap},
3770  title		= {CASE STUDY: A MODEL TO SIMULATE REGIONAL FLOW IN SOUTH FLORIDA},
3771  journal	= {Journal of Hydraulic Engineering},
3772  year		= {2005},
3773  volume	= {131},
3774  number	= {4},
3775  pages		= {247--258},
3776  petsc_uses	= {KSP}
3777}
3778
3779@Article{	  rao2005,
3780  author	= {Prasada Rao},
3781  title		= {A parallel RMA2 model for simulating large-scale free surface flows},
3782  journal	= {Environmental Modelling and Software},
3783  year		= {2005},
3784  pages		= {47--53},
3785  petsc_uses	= {KSP}
3786}
3787
3788@InProceedings{	  pr1,
3789  author	= {Prasada Rao},
3790  title		= {An Efficient Scalable Finite Element Model for Simulating Large Scale
3791		  Hydrodynamic Flows},
3792  year		= {2003},
3793  booktitle	= {Proceedings of the American Society of Civil Engineers 16th Engineering Mechanics
3794		  Conference},
3795  url		= {http://www.ce.washington.edu/em03/proceedings/papers/477.pdf},
3796  petsc_uses	= {KSP}
3797}
3798
3799@InProceedings{	  lichtner2004,
3800  author	= {Peter C. Lichtner and Andrew Wolfsberg},
3801  title		= {Modeling Thermal-Hydrological-Chemical ({THC}) Coupled Processes with
3802		  Applications to Underground Nuclear Tests at the Nevada Test Site; A Grand
3803		  Challenge Supercomputing Problem},
3804  year		= {2004},
3805  booktitle	= {MPU Workshop: Conceptual Model Development for Subsurface Reactive Transport
3806		  Modeling of Inorganic Contaminants, Radionuclides and Nutrients},
3807  note		= {Also Los Alamos National Laboratory report: LA-UR-04-1826},
3808  lab		= {LANL},
3809  petsc_uses	= {KSP}
3810}
3811
3812% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
3813@Article{	  aba01:petsc-app,
3814  author	= {Jason Abate and Peng Wang and Kamy Sepehrnoori},
3815  title		= {Parallel Compositional Reservior Simulation on Clusters of {PC}s},
3816  journal	= {Int. J. High Performance Computing Applications},
3817  year		= {2001},
3818  volume	= {15},
3819  number	= {1},
3820  pages		= {13--21},
3821  month		= {Spring},
3822  petsc_uses	= {KSP}
3823}
3824
3825@PhDThesis{	  tjb200,
3826  author	= {Thomas James Byer},
3827  title		= {Preconditioned Newton Methods for Simulation of Reservoirs with Surface
3828		  Facilities},
3829  school	= {Stanford},
3830  year		= {2000},
3831  petsc_uses	= {KSP}
3832}
3833
3834@InProceedings{	  puchyr2006,
3835  author	= {Peter J. Puchyr},
3836  title		= {Experience with Parallel Computing for Reservoir and Geomechanics Simulation on a
3837		  Win32 Cluster},
3838  booktitle	= {Proceedings of the Canadian International Petroleum Conference},
3839  note		= {Paper number CIPC2006-207},
3840  year		= {2006},
3841  petsc_uses	= {KSP}
3842}
3843
3844@InProceedings{	  texas98,
3845  author	= {P. Wang and S. Balay and K. Seperhrnoori and J. Wheeler and J. Abate and B. Smith
3846		  and G. A. Pope},
3847  title		= {A Fully Implicit Parallel {EOS} Compositional Simulator for Large Scale Reservoir
3848		  Simulation},
3849  booktitle	= {Proceedings of the 1999 Society of Petroleum Engineers 15th Reservoir Simulation
3850		  Symposium},
3851  note		= {also available as Argonne preprint ANL/MCS-P743-1298},
3852  url		= {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P743.pdf},
3853  year		= {1998},
3854  petsc_uses	= {KSP}
3855}
3856
3857% LiteralHTML:
3858% LiteralHTML:  <a name="cfd"><H3><center>CFD</center></H3>
3859% LiteralHTML:
3860@Article{	  farrellmitchellscottwechsung2021,
3861  title		= {A {Reynolds-robust} preconditioner for the {Scott-Vogelius} discretization of the
3862		  stationary incompressible {Navier-Stokes} equations},
3863  author	= {Patrick E Farrell and Lawrence Mitchell and L Ridgway Scott and Florian
3864		  Wechsung},
3865  journal	= {The SMAI journal of computational mathematics},
3866  volume	= {7},
3867  pages		= {75--96},
3868  year		= {2021},
3869  petsc_uses	= {KSP}
3870}
3871
3872@Article{	  adlerbensoncyrfarrellmaclachlantuminaro2021,
3873  title		= {Monolithic Multigrid Methods for Magnetohydrodynamics},
3874  author	= {James H Adler and Thomas R Benson and Eric C Cyr and Patrick E Farrell and Scott
3875		  P MacLachlan and Ray S Tuminaro},
3876  journal	= {SIAM Journal on Scientific Computing},
3877  number	= {0},
3878  pages		= {S70--S91},
3879  year		= {2021},
3880  petsc_uses	= {KSP}
3881}
3882
3883@Article{	  farrellgaticalamichhaneoyarzuaruizbaier2021,
3884  title		= {Mixed Kirchhoff stress–displacement–pressure formulations for incompressible
3885		  hyperelasticity},
3886  author	= {Patrick E. Farrell and Luis F. Gatica and Bishnu P. Lamichhane and Ricardo
3887		  Oyar\'ua and Ricardo Ruiz-Baier},
3888  journal	= {Computer Methods in Applied Mechanics and Engineering},
3889  volume	= {374},
3890  pages		= {113562},
3891  issn		= {0045-7825},
3892  doi		= {https://doi.org/10.1016/j.cma.2020.113562},
3893  url		= {https://www.sciencedirect.com/science/article/pii/S0045782520307477},
3894  year		= {2021},
3895  petsc_uses	= {KSP}
3896}
3897
3898@Article{	  farrellmitchellwechsung2018,
3899  title		= {An augmented {Lagrangian} preconditioner for the {3D} stationary incompressible
3900		  {Navier-Stokes} equations at high {Reynolds} number},
3901  author	= {Patrick E Farrell and Lawrence Mitchell and Florian Wechsung},
3902  journal	= {SIAM Journal on Scientific Computing},
3903  volume	= {41},
3904  number	= {5},
3905  eprint	= {1810.03315},
3906  pages		= {A3073-A3096},
3907  year		= {2019},
3908  petsc_uses	= {KSP}
3909}
3910
3911@Article{	  hevuikklaij2017,
3912  title		= {Block-preconditioners for the incompressible {Navier}--{Stokes} equations
3913		  discretized by a finite volume method},
3914  author	= {Xin He and Cornelis Vuik and Christiaan Klaij},
3915  journal	= {Journal of Numerical Mathematics},
3916  volume	= {25},
3917  number	= {2},
3918  pages		= {89--105},
3919  year		= {2017},
3920  petsc_uses	= {KSP}
3921}
3922
3923@InProceedings{	  zou2015newton,
3924  title		= {Newton--Krylov methods in applications of two-phase flow problems with phase
3925		  appearance/disappearance},
3926  author	= {Zou, L and Zhao, H and Zhang, H},
3927  booktitle	= {ANS 2015 Annual Meeting, June},
3928  volume	= {7},
3929  number	= {11},
3930  year		= {2015},
3931  petsc_uses	= {KSP}
3932}
3933
3934@Article{	  guermond2009nonlinear,
3935  title		= {Nonlinear magnetohydrodynamics in axisymmetric heterogeneous domains using a
3936		  Fourier/finite element technique and an interior penalty method},
3937  author	= {Guermond, J-L and Laguerre, Raphael and L{\'e}orat, Jacques and Nore, Caroline},
3938  journal	= {Journal of computational physics},
3939  volume	= {228},
3940  number	= {8},
3941  pages		= {2739--2757},
3942  year		= {2009},
3943  publisher	= {Elsevier},
3944  petsc_uses	= {KSP}
3945}
3946
3947@Article{	  erzincanlisahin2015,
3948  title		= {The numerical simulation of the wing kinematics effects on near wake topology and
3949		  aerodynamic performance in hovering Drosophila flight},
3950  author	= {Belkis Erzincanli and Mehmet Sahin},
3951  journal	= {Computers \& Fluids},
3952  volume	= {122},
3953  pages		= {90--110},
3954  year		= {2015},
3955  publisher	= {Elsevier},
3956  petsc_uses	= {KSP}
3957}
3958
3959@Article{	  ekensahin2015,
3960  title		= {A parallel monolithic algorithm for the numerical simulation of large-scale fluid
3961		  structure interaction problems},
3962  author	= {Ali Eken and Mehmet Sahin},
3963  journal	= {International Journal for Numerical Methods in Fluids},
3964  year		= {2015},
3965  publisher	= {Wiley Online Library},
3966  petsc_uses	= {KSP}
3967}
3968
3969@Article{	  hwangsucai2015,
3970  title		= {A parallel adaptive nonlinear elimination preconditioned inexact {Newton} method
3971		  for transonic full potential equation},
3972  author	= {Feng-Nan Hwang and Yi-Cheng Su and Xiao-Chuan Cai},
3973  journal	= {Computers \& Fluids},
3974  volume	= {110},
3975  number	= {30},
3976  pages		= {96--107},
3977  year		= {2015},
3978  doi		= {10.1016/j.compfluid.2014.04.005},
3979  petsc_uses	= {KSP}
3980}
3981
3982@Article{	  yanghwangcai2016,
3983  title		= {Nonlinear Preconditioning Techniques for Full-Space Lagrange--Newton Solution of
3984		  PDE-Constrained Optimization Problems},
3985  author	= {Haijian Yang and Feng-Nan Hwang and Xiao-Chuan Cai},
3986  journal	= {SIAM Journal on Scientific Computing},
3987  volume	= {38},
3988  number	= {5},
3989  pages		= {A2756--A2778},
3990  year		= {2016},
3991  petsc_uses	= {KSP}
3992}
3993
3994@Article{	  khanaidun2011,
3995  author	= {Irfan Khan and Cyrus K. Aidun},
3996  title		= {Direct numerical simulation of saturated deformable porous media using parallel
3997		  hybrid Lattice-Boltzmann and finite element method},
3998  journal	= {Int. J. Numer. Meth. Eng.},
3999  volume	= {86},
4000  pages		= {1379--1395},
4001  year		= {2011},
4002  petsc_uses	= {KSP}
4003}
4004
4005@Article{	  khanaidun2014,
4006  author	= {Irfan Khan and Cyrus K. Aidun},
4007  title		= {Modeling the deformation of saturate porous media using direct numerical
4008		  simulation},
4009  journal	= {Int. J. Multiphase Flow},
4010  doi		= {10.1016/j.ijmultiphaseflow.2014.12.003},
4011  year		= {2014},
4012  petsc_uses	= {KSP}
4013}
4014
4015@Article{	  mofidi2014simulations,
4016  author	= {A. Mofidi and P. M. Carrica},
4017  title		= {Simulations of Zigzag Maneuvers for a Container Ship with Direct Moving Rudder
4018		  and Propeller},
4019  journal	= {Computers and Fluids},
4020  pages		= {191--203},
4021  year		= {2014},
4022  petsc_uses	= {KSP}
4023}
4024
4025@Article{	  paik2014fluidstructure,
4026  author	= {K. Paik and P. M. Carrica},
4027  title		= {Fluid-Structure Interaction for an Elastic Structure Interacting with Free
4028		  Surface in a Rolling Tank},
4029  journal	= {Ocean Engineering},
4030  pages		= {201--212},
4031  year		= {2014},
4032  petsc_uses	= {KSP}
4033}
4034
4035@Article{	  castro2013bubble,
4036  author	= {A. M. Castro and P. M. Carrica},
4037  title		= {Bubble size distribution prediction for large-scale ship flows: {Model}
4038		  evaluation and numerical issues},
4039  journal	= {International Journal of Multiphase Flow 57},
4040  pages		= {131--150},
4041  year		= {2013},
4042  petsc_uses	= {KSP}
4043}
4044
4045@Article{	  carrica2013turn,
4046  author	= {P. M. Carrica and F. Ismail and M. Hyman and S. Bhushan and F. Stern},
4047  title		= {Turn and Zigzag Maneuvers of a Surface Combatant Using a {URANS} Approach with
4048		  Dynamic Overset Grids},
4049  journal	= {Journal of Marine Science and Technology},
4050  pages		= {166--181},
4051  year		= {2013},
4052  petsc_uses	= {KSP}
4053}
4054
4055@Article{	  castro2013eulerian,
4056  author	= {A. M. Castro and P. M. Carrica},
4057  title		= {Eulerian polydispersed modeling of bubbly flows around ships with application to
4058		  {Athena} {R}/V,},
4059  journal	= {International Shipbuilding Progress},
4060  pages		= {403--433},
4061  year		= {2013},
4062  petsc_uses	= {KSP}
4063}
4064
4065@Article{	  chase2013overset,
4066  author	= {N. Chase and T. Michael and P. M. Carrica},
4067  title		= {Overset simulations of a {Submarine} in {Towed}, {Self}-{Propelled} and
4068		  {Maneuvering} {Conditions}},
4069  journal	= {International Shipbuilding Progress},
4070  pages		= {171--205},
4071  year		= {2013},
4072  petsc_uses	= {KSP}
4073}
4074
4075@Article{	  sadathosseini2013wu,
4076  author	= {H. Sadat-Hosseini and P. -C. Wu and P. M. Carrica and H. Kim and Y. Toda and F.
4077		  Stern},
4078  title		= {{CFD} Simulation and Validation of Added Resistance of {KVLCC}2 with Fixed and
4079		  Free Surge Conditions in Short and Long Head Waves},
4080  journal	= {Ocean Engineering},
4081  volume	= {59},
4082  pages		= {240--273},
4083  year		= {2013},
4084  petsc_uses	= {KSP}
4085}
4086
4087@Article{	  chase2013cfd,
4088  author	= {N. Chase and P. M. Carrica},
4089  title		= {CFD Simulations of a Submarine Propeller and Application to Self-Propulsion of a
4090		  Submarine},
4091  journal	= {Ocean Engineering},
4092  pages		= {68--80},
4093  year		= {2013},
4094  petsc_uses	= {KSP}
4095}
4096
4097@Article{	  carrica2012cfd,
4098  author	= {P. M. Carrica and H. Sadat-Hosseini and F. Stern},
4099  title		= {CFD Analysis of Broaching for a Model Surface Combatant with Explicit Simulation
4100		  of Moving Rudders and Rotating Propellers},
4101  journal	= {Computers and Fluids 53},
4102  pages		= {117--132},
4103  year		= {2012},
4104  petsc_uses	= {KSP}
4105}
4106
4107@Article{	  sakamoto2012urans,
4108  author	= {N. Sakamoto and P. M. Carrica and F. Stern},
4109  title		= {URANS Simulations of Static and Dynamic Maneuvering for Surface Combatant-Part 1:
4110		  Verification and Validation for Forces, Moment, and Hydrodynamic Derivatives},
4111  publisher	= {Journal of Marine Science and Technology},
4112  pages		= {422--445},
4113  year		= {2012},
4114  petsc_uses	= {KSP}
4115}
4116
4117@Article{	  sakamoto2012uransb,
4118  author	= {N. Sakamoto and P. M. Carrica and F. Stern},
4119  title		= {URANS Simulations of Static and Dynamic Maneuvering for Surface Combatant-Part 2:
4120		  Analysis and Validation of Local Flow Characteristics},
4121  journal	= {Journal of Marine Science and Technology},
4122  pages		= {446--468},
4123  year		= {2012},
4124  petsc_uses	= {KSP}
4125}
4126
4127@Article{	  li2012dynamic,
4128  author	= {Y. Li and T. Xing and K. Paik and P. M. Carrica},
4129  title		= {Dynamic Overset {CFD} Simulations of Wind Turbine Aerodynamics},
4130  journal	= {Renewable Energy},
4131  pages		= {285--298},
4132  year		= {2012},
4133  petsc_uses	= {KSP}
4134}
4135
4136@Article{	  huang2012a,
4137  author	= {J. Huang and P. M. Carrica and F. Stern},
4138  title		= {A Method to Compute Ship Exhaust Plumes with Waves and Wind},
4139  journal	= {International Journal for Numerical Methods in Fluids},
4140  pages		= {160--180},
4141  year		= {2012},
4142  petsc_uses	= {KSP}
4143}
4144
4145@Article{	  huang2012b,
4146  author	= {J. Huang and P. M. Carrica and F. Stern},
4147  title		= {A geometry-based level set method for curvilinear overset grids with application
4148		  to ship hydrodynamics},
4149  journal	= {International Journal for Numerical Methods in Fluids},
4150  pages		= {494--521},
4151  year		= {2012},
4152  petsc_uses	= {KSP}
4153}
4154
4155@Article{	  carrica2011computations,
4156  author	= {P. M. Carrica and H. Fu and F. Stern},
4157  title		= {Computations of self-propulsion free to sink and trim and of motions in head
4158		  waves of the {KRISO} {Container} {Ship} ({KCS}) model},
4159  journal	= {Applied Ocean Research},
4160  pages		= {309--320},
4161  year		= {2011},
4162  petsc_uses	= {KSP}
4163}
4164
4165@Article{	  bhushan2011scalability,
4166  author	= {S. Bhushan and P. M. Carrica and J. Yang and F. Stern},
4167  title		= {Scalability and Validation Study for Large Scale Surface Combatant Computations
4168		  Using {CFDShip}-Iowa},
4169  journal	= {International Journal of High Performance Computing Applications},
4170  pages		= {466--487},
4171  year		= {2011},
4172  petsc_uses	= {KSP}
4173}
4174
4175@Article{	  castro2011full,
4176  author	= {A. M. Castro and P. M. Carrica and F. Stern},
4177  title		= {Full scale self-propulsion computations using discretized propeller for the
4178		  {KRISO} container ship {KCS}},
4179  journal	= {Computers and Fluids},
4180  pages		= {35--47},
4181  year		= {2011},
4182  petsc_uses	= {KSP}
4183}
4184
4185@Article{	  kandasamy2011multifidelity,
4186  author	= {M. Kandasamy and S. K. Ooi and P. M. Carrica and F. Stern and E. F. Campana and
4187		  D. Peri and P. Osborne and J. Cote and N. Macdonald and N. de Waal},
4188  title		= {Multi-fidelity Optimization of a High-speed Foil-assisted Semi-planing Catamaran
4189		  for Low Wake},
4190  journal	= {Journal of Marine Science and Technology},
4191  pages		= {143--156},
4192  year		= {2011},
4193  petsc_uses	= {KSP}
4194}
4195
4196@Article{	  kandasamy2011cfd,
4197  author	= {M. Kandasamy and S. K. Ooi and P. M. Carrica and F. Stern and E. F. Campana and
4198		  D. Peri and P. Osborne and J. Cote and N. Macdonald and N. de Waal},
4199  title		= {CFD Validation Studies for a High-speed Foil-assisted Semi-planing Catamaran},
4200  journal	= {Journal of Marine Science and Technology},
4201  pages		= {157--167},
4202  year		= {2011},
4203  petsc_uses	= {KSP}
4204}
4205
4206@Article{	  sadathosseini2011cfd,
4207  author	= {H. Sadat-Hosseini and P. M. Carrica and F. Stern and N. Umeda and H. Hashimoto
4208		  and S. Yamamura and A. Mastuda},
4209  title		= {CFD System-Based and {EFD} Study of Ship Dynamic Instability Events: Surf Riding,
4210		  Periodic Motion and Broaching},
4211  journal	= {Ocean Engineering},
4212  pages		= {88--110},
4213  year		= {2011},
4214  petsc_uses	= {KSP}
4215}
4216
4217@Article{	  mosaviraad2010development,
4218  author	= {M. Mosaviraad and P. M. Carrica and F. Stern},
4219  title		= {Development and Validation of Harmonic Wave Group Single-Run Procedure for {RAO}
4220		  with Comparison to Regular Wave and Transient Wave Group Procedures Using
4221		  {URANS}},
4222  journal	= {Ocean Engineering},
4223  pages		= {653--666},
4224  year		= {2010},
4225  petsc_uses	= {KSP}
4226}
4227
4228@Article{	  carrica2010largescale,
4229  author	= {P. M. Carrica and J. Huang and R. Noack and D. Kaushik and B. Smith and F.
4230		  Stern},
4231  title		= {Large-Scale {DES} Computations of the Forward Speed Diffraction and Pitch and
4232		  Heave Problems for a Surface Combatant},
4233  journal	= {Computers and Fluids},
4234  pages		= {1095--1111},
4235  year		= {2010},
4236  petsc_uses	= {KSP}
4237}
4238
4239@Article{	  carrica2010selfpropulsion,
4240  author	= {P. M. Carrica and A. M. Castro and F. Stern},
4241  title		= {Self-Propulsion Computations Using Speed Controller and Discretized Propeller
4242		  with Dynamic Overset Grids},
4243  journal	= {Journal of Marine Science and Technology},
4244  pages		= {316--330},
4245  year		= {2010},
4246  petsc_uses	= {KSP}
4247}
4248
4249@Article{	  ismail2010evaluation,
4250  author	= {F. Ismail and P. M. Carrica and T. Xing and F. Stern},
4251  title		= {Evaluation of Linear and Non-Linear Convection Schemes on Multidimensional
4252		  Non-Orthogonal Grids with Applications to {KVLCC}2 Tanker},
4253  journal	= {International Journal of Numerical Methods in Fluids},
4254  pages		= {850--886},
4255  year		= {2010},
4256  petsc_uses	= {KSP}
4257}
4258
4259@Article{	  kandasamy2010integral,
4260  author	= {M. Kandasamy and S. K. Ooi and P. M. Carrica and F. Stern},
4261  title		= {Integral Force/Moment Waterjet Model for {CFD} Simulations},
4262  journal	= {Journal of Fluids Engineering},
4263  pages		= {101103},
4264  year		= {2010},
4265  petsc_uses	= {KSP}
4266}
4267
4268@Article{	  kirk:2014de,
4269  author	= {Kirk, Benjamin S and Stogner, Roy H and Bauman, Paul T and Oliver, Todd A},
4270  title		= {{Modeling hypersonic entry with the fully-implicit Navier--Stokes (FIN-S)
4271		  stabilized finite element flow solver}},
4272  journal	= {Computers {\&} Fluids},
4273  year		= {2014},
4274  volume	= {92},
4275  number	= {0},
4276  pages		= {281--292},
4277  month		= mar,
4278  petsc_uses	= {KSP}
4279}
4280
4281@Article{	  carracciuolo20111382,
4282  title		= {Computational simulations of {3D} large-scale time-dependent viscoelastic flows
4283		  in high performance computing environment},
4284  journal	= {Journal of Non-Newtonian Fluid Mechanics },
4285  volume	= {166},
4286  number	= {23--24},
4287  pages		= {1382--1395},
4288  year		= {2011},
4289  issn		= {0377-0257},
4290  doi		= {10.1016/j.jnnfm.2011.08.014},
4291  author	= {L. Carracciuolo and D. Casaburi and L. D’Amore and G. D’Avino and P.L.
4292		  Maffettone and A. Murli},
4293  keywords	= {Parallel computations, Viscoelastic flows, DEVSS-G, \{PETSc\}, Finite element
4294		  method, High performance computing},
4295  petsc_uses	= {KSP}
4296}
4297
4298@Article{	  bungartzgatzhammerliebmehlneckel11,
4299  author	= {Bungartz, Hans-Joachim and Gatzhammer, Bernhard and Lieb, Michael and Mehl,
4300		  Miriam and Neckel, Tobias},
4301  title		= {Towards multi-phase flow simulations in the PDE framework Peano},
4302  journal	= {Computational Mechanics},
4303  volume	= {48},
4304  number	= {3},
4305  pages		= {365-376},
4306  year		= {2011},
4307  issn		= {0178-7675},
4308  doi		= {10.1007/s00466-011-0626-1},
4309  publisher	= {Springer-Verlag},
4310  keywords	= {PDE framework; Octree-like Cartesian grids; Computational fluid dynamics;
4311		  Thermohydraulics; Two-phase flow},
4312  language	= {English},
4313  petsc_uses	= {KSP}
4314}
4315
4316@Article{	  bpr:cfl,
4317  author	= {H.~M. B{\"u}cker and B. Pollul and A. Rasch},
4318  title		= {{On {CFL} Evolution Strategies for Implicit Upwind Methods in Linearized {E}uler
4319		  Equations}},
4320  journal	= {International Journal for Numerical Methods in Fluids},
4321  year		= {2009},
4322  volume	= {59},
4323  number	= {1},
4324  pages		= {1--18},
4325  doi		= {10.1002/fld.1798},
4326  petsc_uses	= {KSP}
4327}
4328
4329@InBook{	  bonfiglioli_campobasso_carpentieri_2010,
4330  author	= {Bonfiglioli, A and Campobasso, M S and Carpentieri, B},
4331  title		= {Parallel unstructured three-dimensional turbulent flow analyses using efficiently
4332		  preconditioned newton-krylov solver},
4333  publisher	= {Curran Associates},
4334  year		= {2010},
4335  url		= {http://www.proceedings.com/05932.html},
4336  petsc_uses	= {KSP}
4337}
4338
4339@Article{	  bonfiglioli_rans_2005,
4340  author	= {Paciorri, Renato and Bonfiglioli, Aldo and Di Mascio, Andrea and Favini,
4341		  Bernardo},
4342  title		= {RANS simulations of a junction flow},
4343  journal	= {International Journal of Computational Fluid Dynamics},
4344  volume	= {19},
4345  number	= {2},
4346  pages		= {179-189},
4347  year		= {2005},
4348  doi		= {10.1080/10618560410001729126},
4349  petsc_uses	= {KSP}
4350}
4351
4352@InCollection{	  bonfiglioli__carpentieri_rans_2008,
4353  author	= {Bonfiglioli, A. and Carpentieri, B. and Sosonkina, M.},
4354  affiliation	= {University of Basilicata Dip.to di Ingegneria e Fisica dell’Ambiente Potenza
4355		  Italy},
4356  title		= {Performance Analysis of Parallel Algebraic Preconditioners for Solving the RANS
4357		  Equations Using Fluctuation Splitting Schemes},
4358  booktitle	= {Numerical Mathematics and Advanced Applications},
4359  editor	= {Kunisch, Karl and Of, Günther and Steinbach, Olaf},
4360  publisher	= {Springer Berlin Heidelberg},
4361  isbn		= {978-3-540-69777-0},
4362  pages		= {151-158},
4363  doi		= {10.1007/978-3-540-69777-0_17},
4364  year		= {2008},
4365  petsc_uses	= {KSP}
4366}
4367
4368@InCollection{	  bonfiglioli__carpentieri_ens_2007,
4369  author	= {Bonfiglioli, Aldo and Carpentieri, Bruno and Sosonkina, Masha},
4370  affiliation	= {Dip.to di Ingegneria e Fisica dell’Ambiente, University of Basilicata, Potenza,
4371		  Italy},
4372  title		= {EulFS: A Parallel {CFD} Code for the Simulation of {Euler and Navier-Stokes}
4373		  Problems on Unstructured Grids},
4374  booktitle	= {Applied Parallel Computing. State of the Art in Scientific Computing},
4375  series	= {Lecture Notes in Computer Science},
4376  editor	= {Kågström, Bo and Elmroth, Erik and Dongarra, Jack and Wasniewski, Jerzy},
4377  publisher	= {Springer Berlin / Heidelberg},
4378  isbn		= {978-3-540-75754-2},
4379  pages		= {676-685},
4380  volume	= {4699},
4381  doi		= {10.1007/978-3-540-75755-9_83},
4382  year		= {2007},
4383  petsc_uses	= {KSP}
4384}
4385
4386@Article{	  terrelscottknepleykirby08,
4387  author	= {Andy R. Terrel and L. Ridgway Scott and Matthew G. Knepley and Robert C. Kirby},
4388  title		= {Automated {FEM} Discretizations for the {Stokes} Equation},
4389  journal	= {BIT},
4390  volume	= {48},
4391  number	= {2},
4392  year		= {2008},
4393  petsc_uses	= {KSP}
4394}
4395
4396@Article{	  martamadermartinsweidealonso07,
4397  author	= {A. C. Marta and C. A. Mader and J. R. R. A. Martins and E. {Van der Weide} and J.
4398		  J. Alonso},
4399  title		= {A methodology for the development of discrete adjoint solvers using automatic
4400		  differentiation tools},
4401  journal	= {Computational Fluid Dyanmics},
4402  volume	= {21},
4403  pages		= {307--327},
4404  year		= {2007},
4405  petsc_uses	= {KSP}
4406}
4407
4408@TechReport{	  avb2008,
4409  author	= {V.R. Ambati and J.J.W. van der Vegt and O. Bokhove},
4410  title		= {Variational Space-time (Dis)continuous Galerkin Method for Linear Free Surface
4411		  Waves},
4412  year		= {2008},
4413  institution	= {University of Twente, the Netherlands},
4414  url		= {http://eprints.eemcs.utwente.nl/11714/01/memo1863.pdf},
4415  petsc_uses	= {KSP}
4416}
4417
4418@InProceedings{	  bdsm2005,
4419  author	= {M. Bozkurttas and H. Dong and V. Seshadri and R. Mittal},
4420  title		= {Towards Numerical Simulation of Flapping Foils on Fixed Cartesian Grids},
4421  booktitle	= {43rd AIAA Aerospace Sciences Meeting and Exhibit},
4422  year		= {2005},
4423  url		= {http://project.seas.gwu.edu/~fsagmae/papers/AIAA_2005_0079.pdf},
4424  petsc_uses	= {KSP}
4425}
4426
4427@InProceedings{	  ms2006,
4428  author	= {S. Muller and Y. Stiriba},
4429  title		= {A MULTILEVEL FINITE VOLUME METHOD WITH MULTISCALE-BASED GRID ADAPTATION FOR
4430		  STEADY COMPRESSIBLE FLOWS},
4431  booktitle	= {European Conference on Computational Fluid Dynamics: ECCOMAS CFD 2006},
4432  year		= {2006},
4433  url		= {http://www.numerical.rl.ac.uk/people/marioli/Archives/ECCOMAS-CFD-2006/documents/197.pdf},
4434  petsc_uses	= {KSP}
4435}
4436
4437@Article{	  araujoteixeiracunhagroth08,
4438  author	= {B. J. Ara\'ujo and J. C. F. Teixeira and A. M. Cunha and C. P. T. Groth},
4439  title		= {Parallel three-dimensional simulation of the injection molding process},
4440  journal	= {International Journal for Numerical Methods in Fluids},
4441  year		= {2008},
4442  url		= {http://www3.interscience.wiley.com/journal/119876958/abstract?CRETRY=1&SRETRY=0},
4443  petsc_uses	= {KSP}
4444}
4445
4446@PhDThesis{	  a2008,
4447  author	= {A. Cubero},
4448  title		= {a parallel coupled algorithm for collocated grids and its application to Large
4449		  Eddy Simulation of a turbulent wake},
4450  school	= {University of Zaragoza (Spain)},
4451  year		= {2008},
4452  petsc_uses	= {KSP}
4453}
4454
4455@Article{	  afa2007,
4456  author	= {A. Cubero and N. Fueyo},
4457  title		= {A Compact Momentum Interpolation Method for unsteady flows and relaxation},
4458  journal	= {Numerical Heat Transfer, part B-Fundamentals},
4459  volume	= {56},
4460  number	= {6},
4461  pages		= {507--529},
4462  year		= {2007},
4463  url		= {http://www.informaworld.com/smpp/content~content=a782025305~db=all~order=page},
4464  petsc_uses	= {KSP}
4465}
4466
4467@TechReport{	  af2007,
4468  title		= {Preconditioning based on a partially implicit implementation of Momentum
4469		  Interpolation for coupled solvers},
4470  institution	= {Fluid Mechanics Group of the University of Zaragoza (Spain)},
4471  year		= {2007},
4472  author	= {A. Cubero and N. Fueyo},
4473  petsc_uses	= {KSP}
4474}
4475
4476@InCollection{	  dwight2004,
4477  author	= {Richard Dwight},
4478  title		= {Robust Mesh Deformation using the Linear Elasticity Equations},
4479  booktitle	= {Computational Fluid Dynamics 2006},
4480  editor	= {H. Deconinck and E. Dick},
4481  publisher	= {Springer},
4482  year		= {2006},
4483  url		= {http://www.maths.man.ac.uk/\~{
4484		  }rdwight/pub/rdwight-ICCFD4-LinElastDeformation-2006.pdf},
4485  petsc_uses	= {KSP}
4486}
4487
4488@InProceedings{	  dwight2006,
4489  author	= {Richard Dwight and Joel Brezillon},
4490  title		= {Effect of Various Approximations of the Discrete Adjoint on Gradient-Based
4491		  Optimization},
4492  booktitle	= {Proceedings of the 44th AIAA Aerospace Sciences Meeting and Exhibit, Reno NV.
4493		  AIAA-2006-0690},
4494  year		= {2006},
4495  url		= {http://www.maths.man.ac.uk/\~{ }rdwight/pub/rdwight-AIAAReno-ApproxAdjoint.pdf},
4496  petsc_uses	= {KSP}
4497}
4498
4499@PhDThesis{	  dwight2006a,
4500  author	= {Richard Dwight},
4501  title		= {Efficiency Improvements of {RANS}-Based Analysis and Optimization using Implicit
4502		  and Adjoint Methods on Unstructured Grids},
4503  school	= {School of Mathematics, University of Manchester},
4504  year		= {2006},
4505  url		= {http://www.maths.man.ac.uk/\~{
4506		  }rdwight/pub/rdwight-PhDThesis-ImplicitAndAdjoint.pdf},
4507  petsc_uses	= {KSP}
4508}
4509
4510@InProceedings{	  lhdfrh,
4511  author	= {M. Lauter and D. Handorf and K. Dethloff and S. Frickenhaus and N. Rakowsky and
4512		  W. Hiller},
4513  title		= {An adaptive Lagrange-Galerkin shallow-water model on the sphere},
4514  booktitle	= {Workshop Proceedings Current Development in Shallow Water Models on the Sphere
4515		  March, 10-14, 2003, Munich University of Technology, German},
4516  year		= {2003},
4517  petsc_uses	= {KSP}
4518}
4519
4520@InProceedings{	  brios-ying-2002,
4521  author	= {George Biros and Lexing Ying and Denis Zorin},
4522  title		= {The Embedded Boundary Integral Method (EBI) for the Incompressible
4523		  {Navier-Stokes} equations},
4524  booktitle	= {IABEM 2002, International Association for Boundary Element Methods, UT Austin},
4525  year		= {2002},
4526  petsc_uses	= {KSP}
4527}
4528
4529@InProceedings{	  mohsen-straatman-ins,
4530  author	= {S.A. Mohsen Karimian and Anthony G. Straatman},
4531  title		= {Benchmarking of a {3D}, unstructured, finite volume code for incompressible
4532		  {Navier-Stokes} equation on a cluster of distributed-memory computers},
4533  booktitle	= {Proceedings of the 19th International Symposium on High Performance Computing
4534		  Systems and Applications},
4535  pages		= {11--16},
4536  year		= {2005},
4537  url		= { http://ieeexplore.ieee.org/search/wrapper.jsp?arnumber=1430046},
4538  petsc_uses	= {KSP}
4539}
4540
4541@TechReport{	  bonglioli-icnmfd98,
4542  title		= {Multidimensional Residual Distribution Schemes for the Pseudo-Compressible
4543		  {Euler} and {Navier-Stokes} equations on Unstructured Meshes},
4544  institution	= {Universita della Basilicata via della Tecnica 3},
4545  year		= {1996},
4546  author	= {A. Bonglioli},
4547  url		= {http://www.unibas.it/utenti/bonfiglioli/icnmfd98.ps.gz},
4548  petsc_uses	= {KSP}
4549}
4550
4551@Article{	  deng-piquet-ctf,
4552  author	= {G. B. Deng and J. Piquet and X. Vasseur and M. Visonneau"},
4553  title		= {A new fully coupled method for computing turbulent flows},
4554  journal	= {Computers and Fluids},
4555  volume	= {30},
4556  pages		= {445--472},
4557  year		= {2001},
4558  petsc_uses	= {KSP}
4559}
4560
4561@InProceedings{	  knepleysarinsameh99b,
4562  title		= {Multilevel Preconditioning for Parallel {CFD}},
4563  author	= {Matthew G. Knepley and Vivek Sarin and Ahmed H. Sameh},
4564  booktitle	= {International Conference On Preconditioning Techniques For Large Sparse Matrix
4565		  Problems In Industrial Applications},
4566  address	= {Minneapolis, MN},
4567  month		= {June},
4568  year		= {1999},
4569  petsc_uses	= {KSP}
4570}
4571
4572@InProceedings{	  garbey1,
4573  author	= {M. Garbey and B. Hadri and W. Shyy.},
4574  title		= {Fast Elliptic Solver for Incompressible {Navier Stokes} Flow and Heat Transfer
4575		  Problems on the Grid},
4576  booktitle	= {Aerospace Sciences Meeting and Exhibit},
4577  note		= {Paper No. 2005-1386},
4578  year		= {2005},
4579  petsc_uses	= {KSP}
4580}
4581
4582@Article{	  carrica2007unsteady,
4583  title		= {An unsteady single-phase level set method for viscous free surface flows},
4584  author	= {Carrica, PM and Wilson, RV and Stern, F.},
4585  journal	= {International Journal for Numerical Methods in Fluids},
4586  volume	= {53},
4587  number	= {2},
4588  pages		= {229--256},
4589  year		= {2007},
4590  publisher	= {Chichester; New York: Wiley, c1981-},
4591  petsc_uses	= {KSP}
4592}
4593
4594@Article{	  pctw2004,
4595  author	= {M. S. Politano and P. M. Carrica and C. Turan and L. Weber},
4596  title		= {A Multidimensional Two-Phase Flow Model for the Total Dissolved Gas Downstream of
4597		  Spillways},
4598  journal	= {Journal of Hydraulic Research},
4599  note		= {accepted for publication},
4600  year		= {2004},
4601  petsc_uses	= {KSP}
4602}
4603
4604@Article{	  wcs2004,
4605  author	= {R. V. Wilson and P. M. Carrica and F. Stern},
4606  title		= {Unsteady RANS Method for Ship Motions with Application to Roll for a Surface
4607		  Combatant},
4608  journal	= {Computers and Fluids},
4609  note		= {in press},
4610  year		= {2004},
4611  petsc_uses	= {KSP}
4612}
4613
4614@Article{	  cws2005,
4615  author	= {P. M. Carrica and R. V. Wilson and F. Stern},
4616  title		= {Unsteady RANS Simulation of the Ship Forward Speed Diffraction Problem},
4617  journal	= {Computers and Fluids},
4618  note		= {accepted for publication},
4619  year		= {2005},
4620  petsc_uses	= {KSP}
4621}
4622
4623@Article{	  chndss2010,
4624  author	= {P. M. Carrica and J. Huang and R. Noack and D. Kaushik and B. Smith and F.
4625		  Stern},
4626  title		= { Large-Scale {DES} Computations of the Forward Speed Diffraction and Pitch and
4627		  Heave Problems for a Surface Combatant},
4628  journal	= {Computers and Fluids},
4629  year		= {2010},
4630  volume	= {39},
4631  number	= {7},
4632  pages		= {1095--1111},
4633  petsc_uses	= {KSP}
4634}
4635
4636@InProceedings{	  chnkss2008,
4637  author	= {P. M. Carrica and J. Huang and R. Noack and D. Kaushik and B. Smith and F.
4638		  Stern},
4639  title		= {Toward Large-Scale Computations of Ship Motions with Dynamic Overset Curvilinear
4640		  Grids},
4641  booktitle	= {Proceedings of the 27th Symposium on Naval Hydrodynamics, Seoul, Korea},
4642  year		= {2008},
4643  petsc_uses	= {KSP}
4644}
4645
4646@MastersThesis{	  mtj,
4647  author	= {M. T. Jozkowski},
4648  title		= {Application of Algebraic Multigrid Methods to the Solution of Stratified Flows
4649		  About Submerged Bodies},
4650  school	= {The Pennsylvania State University},
4651  year		= {2005},
4652  petsc_uses	= {KSP}
4653}
4654
4655@Article{	  pp,
4656  author	= {E. G. Paterson and L. J. Peltier},
4657  title		= {Detached-Eddy Simulation of High Reynolds Number Beveled-Trailing-Edge Flows and
4658		  Wakes},
4659  journal	= {ASME Journal of Fluids Engineering},
4660  note		= {In press},
4661  year		= {2005},
4662  petsc_uses	= {KSP}
4663}
4664
4665@Article{	  eps,
4666  author	= {B. A. Edge and E. G. Paterson and G. Settles},
4667  title		= {Computational Study of the Wake and Contaminant Transport of a Walking Human},
4668  journal	= {ASME Journal of Fluids Engineering},
4669  note		= {In press},
4670  year		= {2005},
4671  petsc_uses	= {KSP}
4672}
4673
4674@InProceedings{	  rp,
4675  author	= {B. Racine and E. G. Paterson},
4676  title		= {Computation of Maneuvering Coefficients for Non-Body-of-Revolution Submarines
4677		  Using Unsteady {RANS} {CFD}},
4678  booktitle	= {35th AIAA Fluid Dynamics Conference and Exhibit},
4679  year		= {2005},
4680  petsc_uses	= {KSP}
4681}
4682
4683@InProceedings{	  etpp,
4684  author	= {B. A. Edge and M. F. Trujillo and E. G. Paterson and L. J. Peltier},
4685  title		= {Prediction of Forces and Moments on a Sonobuoy Configuration Using Overset Grids
4686		  and DES},
4687  booktitle	= {7th Overset Composite Grid and Solution Technology Symposium},
4688  year		= {2004},
4689  petsc_uses	= {KSP}
4690}
4691
4692@InProceedings{	  pp8,
4693  author	= {E. G. Paterson and L. J. Peltier},
4694  title		= {Localized turbulence simulation for naval hydrodynamics: issues in using overset
4695		  refinement grids and detached-eddy simulation},
4696  booktitle	= {7th Overset Composite Grid and Solution Technology Symposium},
4697  year		= {2004},
4698  petsc_uses	= {KSP}
4699}
4700
4701@InProceedings{	  mzwp,
4702  author	= {R. Meyer and F. J. Zajackowski and W. A. Straka,and E. G. Paterson},
4703  title		= {Experimental and Computational Study of Cavitation Inception on Co-Flow Nozzles},
4704  booktitle	= {25th Symposium on Naval Hydrodynamics},
4705  year		= {2004},
4706  petsc_uses	= {KSP}
4707}
4708
4709@InProceedings{	  ppph,
4710  author	= {E. G. Paterson and J. E. Poremba and L. J. Peltier and S. A. Hambric},
4711  title		= {A Physics-Based Simulation Methodology for Predicting Trailing-Edge Singing},
4712  booktitle	= {25th Symposium on Naval Hydrodynamics},
4713  year		= {2004},
4714  petsc_uses	= {KSP}
4715}
4716
4717@InProceedings{	  ppd,
4718  author	= {E. G. Paterson and L. J. Peltier},
4719  title		= {Detached-Eddy Simulation of High Reynolds Number Trailing-Edge Flows and Wakes},
4720  booktitle	= {Symposium on LES Advancements and Applications, ASME FED Summer Meeting},
4721  year		= {2004},
4722  petsc_uses	= {KSP}
4723}
4724
4725@InProceedings{	  bp,
4726  author	= {W. J. Baker and E. G. and Paterson},
4727  title		= {Simulation of Steady Circulation Control for the General Aviation Circulation
4728		  Control Wing},
4729  booktitle	= {NASA/ONR Workshop on Circulation Control},
4730  year		= {2004},
4731  petsc_uses	= {KSP}
4732}
4733
4734@InProceedings{	  pb,
4735  author	= {E. G. Paterson and W. J. Baker},
4736  title		= {RANS and Detached-Eddy Simulation of the NCCR airfoil},
4737  booktitle	= {NASA/ONR Workshop on Circulation Control},
4738  year		= {2004},
4739  petsc_uses	= {KSP}
4740}
4741
4742@InProceedings{	  pb3,
4743  author	= {E. G. Paterson and W. J. Baker},
4744  title		= {Simulation of Steady and Pulsed Circulation Controlfor Marine-Vehicle Control
4745		  Surfaces},
4746  booktitle	= {42nd AIAA Aerospace Sciences Meeting},
4747  year		= {2004},
4748  petsc_uses	= {KSP}
4749}
4750
4751@InProceedings{	  gid1,
4752  author	= {G. Frank and J. D'Elia},
4753  title		= {{CFD} Modelling of the Flow Around the {Ahmed} Vehicle Model},
4754  year		= {2004},
4755  booktitle	= {Proceedings of the 2nd Conference on Advances and Applications of GiD},
4756  url		= {http://www.gid.cimne.upc.es/2004/papers/p216.pdf},
4757  petsc_uses	= {KSP}
4758}
4759
4760@InBook{	  b1,
4761  author	= {A.Bonfiglioli},
4762  chapter	= {On the use of the PETSc library for unstructured {CFD} applications},
4763  year		= {2001},
4764  title		= {Science and Supercomputing at CINECA},
4765  pages		= {397--400},
4766  petsc_uses	= {KSP}
4767}
4768
4769@InProceedings{	  b2004,
4770  author	= {L. A. Barba},
4771  title		= {Computing high-Reynolds number vortical flows: a highly accurate method with a
4772		  fully meshless formulation},
4773  year		= {2004},
4774  booktitle	= {International Conference on Parallel CFD, Grand Canary, May 2004},
4775  note		= {Submitted},
4776  petsc_uses	= {KSP}
4777}
4778
4779@InProceedings{	  bl2004,
4780  author	= {L. A. Barba and A. Leonard},
4781  title		= {Computation of Viscous Vortices with Fully Meshless Method},
4782  year		= {2004},
4783  booktitle	= {Proceedings of ICTAM meeting in Warsaw, August 2004},
4784  note		= {Submitted},
4785  petsc_uses	= {KSP}
4786}
4787
4788@Article{	  vws1,
4789  author	= {B. G. M. Van Wachem and J. C. Schouten},
4790  title		= {Experimental Validation of 3-D Lagrangian VOF Model: Bubble Shape and Rise
4791		  Velocity},
4792  institution	= {Laboratory of Chemical Reactor Engineering, Department of Chemical Engineering
4793		  and Chemistry, Eindhoven University of Technology, 5600 MB Eindhoven, The
4794		  Netherlands},
4795  journal	= {AIChE},
4796  volumne	= {48},
4797  number	= {12},
4798  month		= {December},
4799  year		= {2002},
4800  petsc_uses	= {KSP}
4801}
4802
4803@TechReport{	  lbam1,
4804  author	= {P. Leggiero and A. Bonfiglioli and P. Amodio and F. Mazzi},
4805  title		= {Precondizionatori paralleli per la fluidodinamica computazionale},
4806  institution	= {Dipartimento Interuniversitario di Matematica Universiti degli Studi-Politecnico
4807		  di Bari Italy},
4808  year		= {2002},
4809  number	= {25/02},
4810  petsc_uses	= {KSP}
4811}
4812
4813@Article{	  kees_miller_02,
4814  author	= {C. E. Kees and C. T. Miller},
4815  title		= {Higher Order Time Integration Methods for Two-Phase Flow},
4816  journal	= {Advances in Water Resources},
4817  year		= {2002},
4818  volume	= {25},
4819  number	= {2},
4820  pages		= {159-177.},
4821  petsc_uses	= {KSP}
4822}
4823
4824@InProceedings{	  lepotmeersessers2001,
4825  author	= {I. Lepot and F. Meers and J.A. Essers},
4826  title		= {Multilevel Parallel High Order Schemes for Invisid Flow Computations on 3D
4827		  Unstructured Meshes},
4828  year		= {2001},
4829  booktitle	= {ECCOMAS Computational Fluid Dynamics Conference 2001},
4830  url		= {http://www.ulg.ac.be/aerodyn},
4831  petsc_uses	= {KSP}
4832}
4833
4834@InProceedings{	  knepley98,
4835  author	= {Matthew Knepley and Denis Vanderstraeten},
4836  title		= {Parallel Building Blocks for Finite Element Simulations: Application to
4837		  Solid-Liquid Mixture Flows},
4838  booktitle	= {Proceedings of Parallel CFD'97},
4839  publisher	= {Elsevier},
4840  pages		= {281--287},
4841  year		= {1998},
4842  petsc_uses	= {KSP}
4843}
4844
4845@InProceedings{	  pcfd97,
4846  author	= {William D. Gropp and David E. Keyes and Lois Curfman McInnes and M. D. Tidriri},
4847  title		= {Parallel Implicit {PDE} Computations: Algorithms and Software},
4848  publisher	= {Elsevier},
4849  year		= {1998},
4850  booktitle	= {Proceedings of Parallel CFD'97},
4851  pages		= {333-344},
4852  petsc_uses	= {KSP}
4853}
4854
4855@InProceedings{	  knepleysamehsari98,
4856  author	= {Matthew Knepley and Ahmed H. Sameh and Vivek Sarin},
4857  title		= {Parallel Simulation of Particulate Flows},
4858  booktitle	= {Solving Irregularly Structured Problems in Parallel},
4859  editors	= {A. Ferreira et al},
4860  year		= {1998},
4861  series	= {Lecture Notes in Computer Science},
4862  volume	= {1457},
4863  pages		= {226--237},
4864  petsc_uses	= {KSP}
4865}
4866
4867@Article{	  gkmt98,
4868  author	= {William D. Gropp and David E. Keyes and Lois Curfman McInnes and M. D. Tidriri},
4869  title		= {Globalized {N}ewton-{K}rylov-{S}chwarz Algorithms and Software for Parallel
4870		  Implicit {CFD}},
4871  journal	= {Int. J. High Performance Computing Applications},
4872  year		= {2000},
4873  volume	= {14},
4874  url		= {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P788.ps.Z},
4875  pages		= {102-136},
4876  petsc_uses	= {KSP}
4877}
4878
4879@InProceedings{	  agkks-sc99,
4880  author	= {W. K. Anderson and W. D. Gropp and D. K. Kaushik and D. E. Keyes and B. F.
4881		  Smith},
4882  title		= {Achieving High Sustained Performance in an Unstructured Mesh {CFD} Application},
4883  booktitle	= {ACM/IEEE Proc. of SC 99: High Performance Networking and Computing},
4884  editor	= {},
4885  publisher	= {},
4886  url		= {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P776.ps.Z},
4887  year		= {1999},
4888  note		= {Winner of Gordon Bell Special Prize at SC 99},
4889  petsc_uses	= {KSP}
4890}
4891
4892@Article{	  gkks01,
4893  author	= {W. D. Gropp and D. K. Kaushik and D. E. Keyes and B. F. Smith},
4894  title		= {High Performance Parallel Implicit {CFD}},
4895  journal	= {Journal of Parallel Computing},
4896  year		= {2001},
4897  volume	= {27},
4898  pages		= {337-362},
4899  url		= {http://www.mcs.anl.gov/petsc-fun3d/Papers/manke.pdf},
4900  petsc_uses	= {KSP}
4901}
4902
4903@Article{	  cristea-sofonea-02,
4904  author	= {Artur Cristea and Victor Sofonea},
4905  title		= {Finite Difference lattice Boltzmann model for Liquid Vapour Systems},
4906  journal	= {Proceedings of the Romanian Academy, Series A: Mathematics, Physics, Technical
4907		  Sciences, Information Sciences},
4908  volume	= {3},
4909  number	= {3},
4910  year		= {2002},
4911  petsc_uses	= {KSP}
4912}
4913
4914@Article{	  cristea2,
4915  author	= {Artur Cristea and Victor Sofonea},
4916  title		= {Two component lattice Boltzmann model with flux limiter techniques},
4917  journal	= {Proceedings of the Romanian Academy, Series A: Mathematics, Physics, Technical
4918		  Sciences, Information Sciences},
4919  volume	= {4},
4920  number	= {1},
4921  year		= {2003},
4922  pages		= {59--64},
4923  petsc_uses	= {KSP}
4924}
4925
4926@Article{	  cristea1,
4927  author	= {Artur Cristea and Victor Sofonea},
4928  title		= {Two component lattice Boltzmann model with flux limiters},
4929  journal	= {Central European Journal of Physics},
4930  volume	= {2},
4931  number	= {2},
4932  year		= {2004},
4933  pages		= {382--396},
4934  petsc_uses	= {KSP}
4935}
4936
4937@Article{	  sofnea-lamura1,
4938  author	= {Victor Sofonea and Antonio Lamura and Giuseppe Gonnella and Artur Cristea},
4939  title		= {Finite-difference lattice Boltzmann model with flux limiters for liquid-vapor
4940		  systems},
4941  journal	= {Physical Review E},
4942  volume	= {70},
4943  number	= {4},
4944  year		= {2004},
4945  pages		= {046702-1 / 046702-9},
4946  petsc_uses	= {KSP}
4947}
4948
4949@InProceedings{	  gkks01b,
4950  author	= {W. D. Gropp and D. K. Kaushik and D. E. Keyes and B. F. Smith},
4951  title		= {Latency, Bandwidth, and Concurrent Issue Limitations in High-Performance {CFD}},
4952  booktitle	= {Proceedings of the First MIT Conference on Computational Fluid and Solid
4953		  Mechanics},
4954  editor	= {},
4955  location	= {Cambridge, MA},
4956  year		= {2001},
4957  month		= jun,
4958  url		= {http://www.mcs.anl.gov/petsc-fun3d/Papers/mit01.pdf},
4959  petsc_uses	= {KSP}
4960}
4961
4962@InProceedings{	  gkks00,
4963  author	= {W. D. Gropp and D. K. Kaushik and D. E. Keyes and B. F. Smith},
4964  title		= {Understanding the Parallel Scalability of An Implicit Unstructured Mesh {CFD}
4965		  Code},
4966  booktitle	= {Proceedings of the 7th International Conference on High Performance Computing
4967		  (HiPC '2000)},
4968  editor	= {},
4969  location	= {Bangalore, India},
4970  year		= {2000},
4971  pages		= {395--404},
4972  url		= {http://www.mcs.anl.gov/petsc-fun3d/Papers/hipc00.pdf},
4973  petsc_uses	= {KSP}
4974}
4975
4976@InProceedings{	  gkks-sc00,
4977  author	= {W. D. Gropp and D. K. Kaushik and D. E. Keyes and B. F. Smith},
4978  title		= {Performance Modeling and Tuning of an Unstructured Mesh {CFD} Application},
4979  booktitle	= {Proceedings of SC2000},
4980  editor	= {},
4981  publisher	= {IEEE Computer Society},
4982  year		= {2000},
4983  url		= {http://www.mcs.anl.gov/petsc-fun3d/Papers/sc00.pdf},
4984  petsc_uses	= {KSP}
4985}
4986
4987@InProceedings{	  knepleysamehsarin99,
4988  author	= {Matthew Knepley and Ahmed H. Sameh and Vivek Sarin},
4989  title		= {Design of Large Scale Parallel Simulations},
4990  booktitle	= {Proceedings of Parallel CFD'99},
4991  editors	= {A. {Ecer et al.}},
4992  publisher	= {Elsevier},
4993  year		= {1999},
4994  petsc_uses	= {KSP}
4995}
4996
4997@InProceedings{	  gkks-pcfd99,
4998  author	= {William D. Gropp and Dinesh K. Kaushik and David E. Keyes and Barry F. Smith},
4999  title		= {Towards Realistic Performance Bounds for Implicit {CFD} codes},
5000  booktitle	= {Proceedings of Parallel CFD'99},
5001  editors	= {A. {Ecer et al.}},
5002  publisher	= {Elsevier},
5003  url		= {http://www.cs.odu.edu/~keyes/papers/pcfd99_gkks.pdf},
5004  year		= {1999},
5005  petsc_uses	= {KSP}
5006}
5007
5008@InProceedings{	  kks97,
5009  author	= {D. K. Kaushik and D. E. Keyes and B. F. Smith},
5010  title		= {On the Interaction of Architecture and Algorithm in the Domain-Based
5011		  Parallelization of an Unstructured Grid Incompressible Flow Code},
5012  booktitle	= {Proceedings of the 10th International Conference on Domain Decomposition
5013		  Methods},
5014  editor	= {J. Mandel et al.},
5015  pages		= {311--319},
5016  publisher	= {Wiley},
5017  note		= {},
5018  year		= {1997},
5019  petsc_uses	= {KSP}
5020}
5021
5022@InProceedings{	  kks99,
5023  author	= {D. K. Kaushik and D. E. Keyes and B. F. Smith},
5024  title		= {{N}ewton-{K}rylov-{S}chwarz Methods for Aerodynamic Problems: Compressible and
5025		  Incompressible Flows on Unstructured Grids},
5026  booktitle	= {Proceedings of the 11th International Conference on Domain Decomposition
5027		  Methods},
5028  editors	= {C.-H. {Lai et al.}},
5029  publisher	= {Domain Decomposition Press, Bergen},
5030  url		= {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P745.ps.Z},
5031  year		= {1999},
5032  petsc_uses	= {KSP}
5033}
5034
5035@InCollection{	  kks97_cfd,
5036  author	= {D. E. Keyes and D. K. Kaushik and B. F. Smith},
5037  title		= {Perspectives for {CFD} on Petaflops Systems},
5038  booktitle	= {CFD Review 1998},
5039  editor	= {M. Hafez and K. Oshima},
5040  publisher	= {World Scientific, Singapore},
5041  pages		= {1079--1096},
5042  note		= {},
5043  year		= {1998},
5044  petsc_uses	= {KSP}
5045}
5046
5047@Article{	  hm99,
5048  author	= {P. D. Hovland and L. C. McInnes},
5049  title		= {Parallel Simulation of Compressible Flow Using Automatic Differentiation and
5050		  {PETSc}},
5051  year		= {2000},
5052  journal	= {Parallel Computing},
5053  url		= {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P796.ps.Z},
5054  note		= {special issue of Parallel Computing on ``Parallel Computing in Aerospace''},
5055  petsc_uses	= {KSP}
5056}
5057
5058@InProceedings{	  cruzbarbaknepley08,
5059  author	= {Felipe A. Cruz and Lorena A. Barba and Matthew G. Knepley},
5060  title		= {Fast Multipole Method for particle interactions: an open source parallel library
5061		  component},
5062  booktitle	= {Proceedings of ParCFD2008},
5063  year		= {2008},
5064  editor	= {Tromeur-Dervout et. al.},
5065  publisher	= {Elsevier},
5066  petsc_uses	= {KSP}
5067}
5068
5069@Article{	  hwangcai05,
5070  author	= {F.-N. Hwang and X.-C. Cai},
5071  title		= {A parallel nonlinear additive {Schwarz} preconditioned inexact {Newton} algorithm
5072		  for incompressible {Navier-Stokes} equations},
5073  journal	= {J. Comput. Phys.},
5074  volume	= {204},
5075  year		= {2005},
5076  pages		= {666--691},
5077  petsc_uses	= {KSP}
5078}
5079
5080@Article{	  barbaleonard07,
5081  author	= {Lorena A Barba and Anthony Leonard},
5082  title		= {Emergence and evolution of tripole vortices from net-circulation initial
5083		  conditions},
5084  journal	= {Phys. Fluids},
5085  volume	= {19},
5086  pages		= {017101},
5087  year		= {2007},
5088  doi		= {10.1063/1.2409734},
5089  petsc_uses	= {KSP}
5090}
5091
5092@Article{	  barba07,
5093  author	= {Lorena A Barba},
5094  title		= {Non-shielded multipolar vortices at high Reynolds number},
5095  journal	= {Phys. Rev. E},
5096  volume	= {73},
5097  pages		= {065303},
5098  year		= {2006},
5099  doi		= {10.1103/PhysRevE.73.065303},
5100  petsc_uses	= {KSP}
5101}
5102
5103@Article{	  schofield2010multi,
5104  title		= {Multi-material incompressible flow simulation using the moment-of-fluid method},
5105  author	= {Schofield, S.P. and Christon, M.A. and Dyadechko, V. and Garimella, R.V. and
5106		  Lowrie, R.B. and Swartz, B.K.},
5107  journal	= {International Journal for Numerical Methods in Fluids},
5108  volume	= {63},
5109  number	= {8},
5110  pages		= {931--952},
5111  year		= {2010},
5112  publisher	= {Wiley Online Library},
5113  petsc_uses	= {KSP}
5114}
5115
5116% LiteralHTML:
5117% LiteralHTML:  <a name="wave"><H3><center>Wave propagation and the Helmholtz equation</center></H3>
5118% LiteralHTML:
5119% LiteralHTML: article{DeGersem99,
5120% LiteralHTML:   author = {Ji Wng and Yu Wang and Wen-ke Hu and Jian-ke Du},
5121% LiteralHTML:   title  = {The high performance of finite element analysis and applications of surface acoustic waves in finite elastic solids},
5122% LiteralHTML: }
5123@Article{	  nagler2014,
5124  title		= {Sound transmission through a poroelastic layered panel},
5125  author	= {Loris Nagler and Ping Rong and Martin Schanz and Otto von Estorff},
5126  journal	= {Computational Mechanics},
5127  volume	= {53},
5128  number	= {4},
5129  pages		= {549--560},
5130  issn		= {1432-0924},
5131  doi		= {10.1007/s00466-013-0916-x},
5132  year		= {2014},
5133  petsc_uses	= {KSP}
5134}
5135
5136@Article{	  sheikh2013,
5137  author	= {Sheikh, A. H. and Lahaye, D. and Vuik, C.},
5138  title		= {On the convergence of shifted {L}aplace preconditioner combined with multilevel
5139		  deflation},
5140  journal	= {Numerical Linear Algebra with Applications},
5141  volume	= {20},
5142  number	= {4},
5143  issn		= {1099-1506},
5144  doi		= {10.1002/nla.1882},
5145  pages		= {645--662},
5146  keywords	= {Helmholtz equation, shifted Laplace preconditioner, multigrid deflation, Fourier
5147		  analysis},
5148  year		= {2013},
5149  petsc_uses	= {KSP}
5150}
5151
5152@InProceedings{	  silence,
5153  author	= {J.M. and Alonso and G. Garcia and V. Hernandez and F.D. Denia and F.J.
5154		  Fuenmayor},
5155  title		= {A parallel computing approach for solving the Helmholtz equation in 3D domains:
5156		  Application to the study of acoustic behaviour of silencers},
5157  year		= {2004},
5158  booktitle	= {Eurppean Congress on Computational Methods in Applied Sciences and Engineering
5159		  (ECCOMAS)},
5160  petsc_uses	= {KSP}
5161}
5162
5163@Article{	  degersem99,
5164  author	= {H. De Gersem and Domenico Lahaye and S. Vandewalle and K. Hameyer},
5165  title		= {Comparison of Quasi Minimal Residual and Bi-Conjugate Gradient Iterative Methods
5166		  to Solve Complex Symmetric Systems Arising from Time-Harmonic Simulations},
5167  journal	= {COMPEL},
5168  year		= {1999},
5169  volume	= {18},
5170  number	= {3},
5171  pages		= {298--310},
5172  bibdate	= {},
5173  petsc_uses	= {KSP}
5174}
5175
5176@InProceedings{	  widlund-wave-98,
5177  author	= {Olof B. Widlund},
5178  title		= {Schwarz Methods for {H}elmholtz's Equation},
5179  booktitle	= {Mathematical and Numerical Aspects of Wave Propagation},
5180  editor	= {John A. DeSanto},
5181  year		= {1998},
5182  publisher	= {SIAM},
5183  pages		= {620--622},
5184  address	= {Philadelphia},
5185  note		= {Proceedings of the Fourth International Conference on Mathematical and Numerical
5186		  Aspects of Wave Propagation, Golden, Colorado, June 1--5},
5187  petsc_uses	= {KSP}
5188}
5189
5190@InProceedings{	  toselli-wave-98,
5191  author	= {Andrea Toselli},
5192  title		= {Overlapping {S}chwarz Methods for {M}axwell's Equations in Conductive Media},
5193  booktitle	= {Mathematical and Numerical Aspects of Wave Propagation},
5194  editor	= {John A. DeSanto},
5195  year		= {1998},
5196  publisher	= {SIAM},
5197  address	= {Philadelphia},
5198  pages		= {540--542},
5199  note		= {Proceedings of the Fourth International Conference on Mathematical and Numerical
5200		  Aspects of Wave Propagation, Golden, Colorado, June 1--5},
5201  petsc_uses	= {KSP}
5202}
5203
5204@InProceedings{	  mcinnes-wave-98,
5205  author	= {L. C. McInnes and R. Susan-Resiga and H. M. Atassi and D. E. Keyes},
5206  title		= {Parallel Solution of {H}elmholtz Problems using Additive {S}chwarz Methods},
5207  booktitle	= {Mathematical and Numerical Aspects of Wave Propagation},
5208  editor	= {John A. DeSanto},
5209  year		= {1998},
5210  publisher	= {SIAM},
5211  address	= {Philadelphia},
5212  pages		= {623--625},
5213  note		= {Proceedings of the Fourth International Conference on Mathematical and Numerical
5214		  Aspects of Wave Propagation, Golden, Colorado, June 1--5},
5215  petsc_uses	= {KSP}
5216}
5217
5218@InProceedings{	  mska98,
5219  author	= {L. C. McInnes and R. Susan-Resiga and D. E. Keyes and H. M. Atassi},
5220  title		= {Additive {S}chwarz Methods with Nonreflecting Boundary Conditions for the
5221		  Parallel Computation of {H}elmholtz Problems},
5222  booktitle	= {Proceedings of the 10th Intl. Conf. on Domain Decomposition Methods},
5223  editor	= {J. Mandel et al.},
5224  publisher	= {AMS},
5225  pages		= {349--357},
5226  year		= {1998},
5227  petsc_uses	= {KSP}
5228}
5229
5230@InProceedings{	  ccew98,
5231  author	= {X.-C. Cai and M. A. Casarin, Jr. and F. W. Elliott, Jr. and O. B. Widlund},
5232  title		= {Overlapping {S}chwarz Algorithms for Solving {H}elmholtz's Equation},
5233  booktitle	= {Proceedings of the 10th Intl. Conf. on Domain Decomposition Methods},
5234  editor	= {J. Mandel et al.},
5235  publisher	= {AMS},
5236  pages		= {437-445},
5237  year		= {1998},
5238  petsc_uses	= {KSP}
5239}
5240
5241@InProceedings{	  ra98a,
5242  author	= {R. Susan-Resiga and H. M. Atassi},
5243  title		= {Parallel Computing Using {S}chwarz Domain Decomposition Method for Aeroacoustic
5244		  Problems},
5245  booktitle	= {Proceedings of the 4th AIAA/CEAS Aeroacoustics Conference},
5246  publisher	= {AIAA},
5247  pages		= {86-96},
5248  note		= {AIAA paper 98-2218},
5249  year		= {1998},
5250  petsc_uses	= {KSP}
5251}
5252
5253@InProceedings{	  ar98c,
5254  author	= {H. M. Atassi and R. Susan-Resiga},
5255  title		= {Parallel Computation of Harmonic Waves using Domain Decomposition, Part {I}:
5256		  General Formulation},
5257  booktitle	= {Proceedings of the ASME Noise Control and Acoustics Division},
5258  publisher	= {ASME},
5259  note		= {NCA-25},
5260  pages		= {375-379},
5261  year		= {1998},
5262  petsc_uses	= {KSP}
5263}
5264
5265@InProceedings{	  ra98b,
5266  author	= {R. Susan-Resiga and H. M. Atassi},
5267  title		= {Parallel Computation of Harmonic Waves using Domain Decomposition, Part {II}:
5268		  Numerical Implementation and Applications},
5269  booktitle	= {Proceedings of the ASME Noise Control and Acoustics Division},
5270  publisher	= {ASME},
5271  note		= {NCA-25},
5272  pages		= {381 -388},
5273  year		= {1998},
5274  petsc_uses	= {KSP}
5275}
5276
5277@InProceedings{	  cai-dd10-98,
5278  author	= {Xiao-Chuan Cai and Mario A. Casarin and Frank W. Elliott, Jr. and Olof B.
5279		  Widlund},
5280  title		= {Overlapping {S}chwarz methods for solving {H}elmholtz's Equation},
5281  booktitle	= {Domain Decomposition Methods 10},
5282  editors	= {Jan Mandel and Charbel Farhat and Xiao-Chuan Cai},
5283  series	= {Contemporary Mathematics},
5284  volume	= {218},
5285  publisher	= {American Mathematical Society},
5286  address	= {Providence, Rhode Island},
5287  year		= {1998},
5288  pages		= {437--445},
5289  petsc_uses	= {KSP}
5290}
5291
5292@InProceedings{	  alghamdi2011petclaw,
5293  title		= {Pet{C}law: A Scalable Parallel Nonlinear Wave Propagation Solver for {P}ython},
5294  booktitle	= {Proceedings of SpringSim 2011},
5295  publisher	= {ACM},
5296  author	= {Amal Alghamdi and Aron Ahmadia and David I. Ketcheson and Matthew G. Knepley and
5297		  Kyle T. Mandli and Lisandro Dalcin},
5298  year		= {2011},
5299  petsc_uses	= {KSP}
5300}
5301
5302@Article{	  pyclaw2012,
5303  author	= {David I. Ketcheson and Kyle T. Mandli and Aron J. Ahmadia and Amal Alghamdi and
5304		  Manuel Quezada de Luna and Matteo Parsani and Matthew G. Knepley and Matthew
5305		  Emmett},
5306  title		= {{PyClaw}: Accessible, Extensible, Scalable Tools for Wave Propagation Problems},
5307  journal	= {SIAM Journal on Scientific Computing},
5308  volume	= {34},
5309  number	= {4},
5310  pages		= {C210--C231},
5311  note		= {\url{http://arxiv.org/abs/1111.6583}},
5312  year		= {2012},
5313  petsc_uses	= {KSP}
5314}
5315
5316% LiteralHTML:
5317% LiteralHTML:  <a name="optimization"><H3><center>Optimization</center></H3>
5318% LiteralHTML:
5319@Article{	  sojkahorakhaplacermak2018,
5320  title		= {The impact of enabling multiple subdomains per MPI process in the TFETI domain
5321		  decomposition method},
5322  author	= {Radim Sojka and David Hor{\'a}k and V{\'a}clav Hapla and Martin {\v{C}}erm{\'a}k},
5323  journal	= {Applied Mathematics and Computation},
5324  volume	= {319},
5325  pages		= {586--597},
5326  year		= {2018},
5327  petsc_uses	= {KSP}
5328}
5329
5330@Article{	  chencai2014,
5331  title		= {A parallel two-level domain decomposition based one-shot method for shape
5332		  optimization problems},
5333  author	= {Rongliang Chen and Xiao‐Chuan Cai},
5334  journal	= {International Journal for Numerical Methods in Engineering},
5335  volume	= {99},
5336  number	= {13},
5337  year		= {2014},
5338  doi		= {10.1002/nme.4711},
5339  petsc_uses	= {KSP}
5340}
5341
5342@PhDThesis{	  prudencio2005,
5343  author	= {Ernesto Prudencio},
5344  title		= {Parallel Fully Coupled {Lagrange-Newton-Krylov-Schwarz} Algorithms and Software
5345		  for Optimization Problems Constrained by Partial Differential Equations},
5346  school	= {University of Colorado, Boulder},
5347  year		= {2005},
5348  petsc_uses	= {KSP}
5349}
5350
5351@Article{	  prudenciocai2007,
5352  title		= {Parallel multilevel restricted {Schwarz} preconditioners with pollution removing
5353		  for {PDE}-constrained optimization},
5354  author	= {Ernesto Prudencio and X. C. Cai},
5355  journal	= {SIAM J. Sci. Comp.},
5356  volume	= {29},
5357  number	= {3},
5358  pages		= {964--985},
5359  year		= {2007},
5360  petsc_uses	= {KSP}
5361}
5362
5363@Article{	  prudenciobyrdcai2006,
5364  author	= {Ernesto Prudencio and R. Byrd and X. C. Cai},
5365  title		= {Parallel full space {SQP Lagrange-Newton-Krylov-Schwarz} algorithms for
5366		  {PDE}-constrained Optimization Problems},
5367  journal	= {SIAM J. Sci. Comp.},
5368  volume	= {27},
5369  pages		= {1305--1328},
5370  year		= {2006},
5371  petsc_uses	= {KSP}
5372}
5373
5374@InProceedings{	  prudenciobyrdcai2004,
5375  title		= {Domain decomposition methods for {PDE}-constrained optimization problems},
5376  author	= {Ernesto Prudencio and R. Byrd and X. C. Cai},
5377  booktitle	= {VECPAR 2004},
5378  editor	= {M. Dayde and J. Dongarra and V. Hernandex and J. Palma},
5379  publisher	= {Springer},
5380  pages		= {569--582},
5381  year		= {2004},
5382  petsc_uses	= {KSP}
5383}
5384
5385@Article{	  belhamadia-fortin-pcp,
5386  author	= {Youssef Belhamadia and Andre Fortin and Eric Chamberland},
5387  title		= {Three-dimensional anisotropic mesh adaptation for phase change problems},
5388  journal	= {Journal of Computational Physics},
5389  volume	= {201},
5390  pages		= {753-770},
5391  year		= {2004},
5392  url		= {http://portal.acm.org/citation.cfm?id=1055817.1055834#references},
5393  petsc_uses	= {KSP}
5394}
5395
5396@Article{	  biros00,
5397  author	= {George Biros and Omar Ghattas},
5398  title		= {A {Lagrange-Newton-Krylov-Schur} Method for {PDE} Constrained Optimization},
5399  journal	= {SIAG-Opt Views and News},
5400  volume	= {11},
5401  number	= {2},
5402  year		= {2000},
5403  month		= {august},
5404  url		= {http://www.cs.cmu.edu/\~{ }oghattas/papers/siag-opt/siag-opt.pdf},
5405  petsc_uses	= {KSP}
5406}
5407
5408@Article{	  bmm01,
5409  author	= {Steve Benson and Lois Curfman McInnes and Jorge Mor\'{e}},
5410  journal	= {ACM Transactions on Mathematical Software},
5411  title		= {A case study in the performance and scalability of optimization algorithms},
5412  year		= {2001},
5413  volume	= {27},
5414  number	= {3},
5415  pages		= {361--376},
5416  petsc_uses	= {KSP}
5417}
5418
5419@InProceedings{	  oghattas1999,
5420  author	= {George Biros and Omar Ghattas},
5421  title		= {Parallel preconditioners for {KKT} systems arising in optimal control of viscous
5422		  incompressible flows},
5423  booktitle	= {Proceedings of Parallel CFD '99, Williamsburg, Virginia, USA, May 23-26, 1999},
5424  url		= {http://www.cs.cmu.edu/\~{ }oghattas/papers/pcfd99/pcfd99.pdf},
5425  year		= {1999},
5426  petsc_uses	= {KSP}
5427}
5428
5429@InProceedings{	  hkms00,
5430  title		= {Using Automatic Differentiation for Second-order Matrix-free Methods in
5431		  PDE-constrained Optimization},
5432  author	= {P. D. Hovland and D. E. Keyes and L. C. McInnes and W. Samyono},
5433  url		= {http://www.icase.edu/\~{ }keyes/papers/ad2000.ps},
5434  booktitle	= {Automatic Differentiation of Algorithms: From Simulation to Optimization},
5435  editor	= {George Corliss and Christ\`{e}le Faure and Andreas Griewank and Laurent
5436		  Hasco\"{e}t and Uwe Naumann},
5437  publisher	= {Springer},
5438  year		= {2002},
5439  petsc_uses	= {KSP}
5440}
5441
5442% old version: replace with biros2005pln1
5443@TechReport{	  bg011,
5444  author	= {George Biros and Omar Ghattas},
5445  title		= {Parallel Lagrange-Newton-Krylov-Schur Methods for PDE-Constrained Optimization.
5446		  Part I: The Krylov-Schur Solver},
5447  institution	= {Laboratory for Mechanics, Algorithms, and Computing, Carnegie Mellon University},
5448  year		= {2001},
5449  url		= {http://www.cs.cmu.edu/\~{ }oghattas/papers/lnks/lnks1.pdf},
5450  petsc_uses	= {KSP}
5451}
5452
5453% old version: replace with biros2005pln2
5454@TechReport{	  bg012,
5455  author	= {George Biros and Omar Ghattas},
5456  title		= {Parallel {Lagrange-Newton-Krylov-Schur} Methods for {PDE}-Constrained
5457		  Optimization. Part II: The {Lagrange-Newton} Solver, and its Application to
5458		  Optimal Control of Steady Viscous Flows},
5459  institution	= {Laboratory for Mechanics, Algorithms, and Computing, Carnegie Mellon University},
5460  year		= {2001},
5461  url		= {http://www.cs.cmu.edu/\~{ }oghattas/papers/lnks/lnks2.pdf},
5462  petsc_uses	= {KSP}
5463}
5464
5465% LiteralHTML:
5466% LiteralHTML:  <a name="fastmethods"><H3><center>Fast Algorithms</center></H3>
5467% LiteralHTML:
5468@InProceedings{	  ly2003,
5469  author	= {Lexing Ying and G. Biros and D. Zorin and H. Langston},
5470  title		= {A New Parallel Kernel-independent Fast Multipole Method},
5471  booktitle	= {Proceedings of the ACM/IEEE conference on Supercomputing 2003},
5472  year		= {2003},
5473  note		= {Winner of the Best Student Paper at SC2003},
5474  petsc_uses	= {KSP}
5475}
5476
5477@Article{	  yokotabarbaknepley10,
5478  author	= {Rio Yokota and L A Barba and Matthew G Knepley},
5479  title		= {{PetRBF} -- A parallel {O(N)} algorithm for radial basis function interpolation},
5480  journal	= {Computer Methods in Applied Mechanics and Engineering},
5481  volume	= {199},
5482  number	= {25-28},
5483  pages		= {1793--1804},
5484  url		= {http://arxiv.org/abs/0909.5413v1},
5485  note		= {\url{http://arxiv.org/abs/0909.5413v1}},
5486  year		= {2010},
5487  petsc_uses	= {KSP}
5488}
5489
5490@Article{	  cruzknepleybarba10,
5491  author	= {Felipe A. Cruz and Matthew G Knepley and L A Barba},
5492  title		= {{PetFMM} -- A dynamically load-balancing parallel fast multipole library},
5493  journal	= {International Journal of Numerical Methods in Engineering},
5494  volume	= {85},
5495  number	= {4},
5496  pages		= {403--428},
5497  url		= {http://arxiv.org/abs/0905.2637},
5498  note		= {\url{http://arxiv.org/abs/0905.2637}},
5499  year		= {2010},
5500  petsc_uses	= {KSP}
5501}
5502
5503% LiteralHTML:
5504% LiteralHTML:  <a name="otherapps"><H3><center>Other Application Areas</center></H3>
5505% LiteralHTML:
5506@Article{	  buchanpainumplebysmedleystevenson2012,
5507  title		= {A sub-grid scale finite element agglomeration multigrid method with application
5508		  to the Boltzmann transport equation},
5509  author	= {AG Buchan and CC Pain and AP Umpleby and RP Smedley-Stevenson},
5510  journal	= {International Journal for Numerical Methods in Engineering},
5511  volume	= {92},
5512  number	= {3},
5513  pages		= {318--342},
5514  year		= {2012},
5515  publisher	= {Wiley Online Library},
5516  petsc_uses	= {KSP}
5517}
5518
5519@Article{	  magoulesahamedsuzuki2015,
5520  title		= {Green computing on graphics processing units},
5521  author	= {Fr{\'e}d{\'e}ric Magoul{\`e}s and Abal-Kassim Cheik Ahamed and Atsushi Suzuki},
5522  journal	= {Concurrency and Computation: Practice and Experience},
5523  year		= {2015},
5524  publisher	= {Wiley Online Library},
5525  petsc_uses	= {KSP}
5526}
5527
5528@InProceedings{	  yanrhodes11,
5529  author	= {Yan, Baoqiang and Rhodes, Philip J.},
5530  title		= {IDEA -- An API for Parallel Computing with Large Spatial Datasets},
5531  booktitle	= {Proceedings of the 2011 International Conference on Parallel Processing},
5532  series	= {ICPP '11},
5533  pages		= {355--364},
5534  year		= {2011},
5535  isbn		= {978-0-7695-4510-3},
5536  numpages	= {10},
5537  doi		= {10.1109/ICPP.2011.70},
5538  acmid		= {2066965},
5539  publisher	= {IEEE Computer Society},
5540  address	= {Washington, DC, USA},
5541  keywords	= {cluster, parallelization, spatial dataset, dependency, data partitioning},
5542  petsc_uses	= {KSP}
5543}
5544
5545@Article{	  hakansson2013mdstochasticliouville,
5546  author	= {Hakansson, Par and Nguyen, ThaoNguyen and Nair, Prasanth B. and Edge, Ruth and
5547		  Stulz, Eugen},
5548  title		= {Cu(ii)-porphyrin molecular dynamics as seen in a novel EPR/Stochastic Liouville
5549		  equation study},
5550  journal	= {Phys. Chem. Chem. Phys.},
5551  year		= {2013},
5552  volume	= {15},
5553  issue		= {26},
5554  pages		= {10930-10941},
5555  publisher	= {The Royal Society of Chemistry},
5556  doi		= {10.1039/C3CP50788B},
5557  petsc_uses	= {KSP}
5558}
5559
5560@Article{	  hakansson2011stochasticliouville,
5561  author	= {Hakansson, Par and Nair, Prasanth B.},
5562  title		= {Implicit numerical schemes for the stochastic Liouville equation in Langevin
5563		  form},
5564  journal	= {Phys. Chem. Chem. Phys.},
5565  year		= {2011},
5566  volume	= {13},
5567  issue		= {20},
5568  pages		= {9578-9589},
5569  publisher	= {The Royal Society of Chemistry},
5570  doi		= {10.1039/C1CP20400A},
5571  petsc_uses	= {KSP}
5572}
5573
5574@InProceedings{	  wang:lee:scidac2011,
5575  author	= {Lei Wang and Jungho Lee and Mihai Anitescu and Anter El Azab and Lois Curfman
5576		  McInnes and Todd Munson and Barry Smith},
5577  title		= {A Differential Variational Inequality Approach for the Simulation of
5578		  Heterogeneous Materials},
5579  booktitle	= {Proceedings of SciDAC 2011 Conference},
5580  year		= {2011},
5581  petsc_uses	= {KSP}
5582}
5583
5584@Article{	  bourdinlarsenrichardson2011,
5585  author	= {Blaise Bourdin and Christopher Larsen and Casey Richardson},
5586  title		= {A time-discrete model for dynamic fracture based on crack regularization},
5587  journal	= {International Journal of Fracture},
5588  volume	= {168},
5589  issue		= {2},
5590  pages		= {133--143},
5591  doi		= {10.1007/s10704-010-9562-x},
5592  year		= {2011},
5593  petsc_uses	= {KSP}
5594}
5595
5596@Book{		  bourdinfrancfortmarigo,
5597  author	= {Blaise Bourdin and Gilles Francfort and Jean-Jacques Marigo},
5598  title		= {The Variational Approach to Fracture},
5599  publisher	= {Springer},
5600  year		= {2008},
5601  petsc_uses	= {KSP}
5602}
5603
5604@Article{	  bourdinfrancfortmarigo2008,
5605  author	= {Blaise Bourdin and Gilles Francfort and Jean-Jacques Marigo},
5606  title		= {The Variational Approach to Fracture},
5607  journal	= {J. Elasticity},
5608  volume	= {91},
5609  issue		= {1},
5610  pages		= {1--148},
5611  doi		= {10.1007/s10659-007-9107-3},
5612  year		= {2008},
5613  petsc_uses	= {KSP}
5614}
5615
5616@Article{	  lahtinen2008spectrum,
5617  title		= {Spectrum of the non-abelian phase in Kitaev's honeycomb lattice model},
5618  author	= {Lahtinen, V. and Kells, G. and Carollo, A. and Stitt, T. and Vala, J. and Pachos,
5619		  J.K.},
5620  journal	= {Annals of Physics},
5621  volume	= {323},
5622  number	= {9},
5623  pages		= {2286--2310},
5624  year		= {2008},
5625  publisher	= {Elsevier},
5626  petsc_uses	= {KSP}
5627}
5628
5629@InProceedings{	  roark2004discriminative,
5630  title		= {Discriminative language modeling with conditional random fields and the
5631		  perceptron algorithm},
5632  author	= {Roark, B. and Saraclar, M. and Collins, M. and Johnson, M.},
5633  booktitle	= {Proceedings of the 42nd Annual Meeting on Association for Computational
5634		  Linguistics},
5635  pages		= {47},
5636  year		= {2004},
5637  organization	= {Association for Computational Linguistics},
5638  petsc_uses	= {KSP}
5639}
5640
5641@Article{	  roark2007discriminative,
5642  title		= {Discriminative n-gram language modeling},
5643  author	= {Roark, B. and Saraclar, M. and Collins, M.},
5644  journal	= {Computer Speech \& Language},
5645  volume	= {21},
5646  number	= {2},
5647  pages		= {373--392},
5648  year		= {2007},
5649  publisher	= {Elsevier},
5650  petsc_uses	= {KSP}
5651}
5652
5653@Conference{	  garcia2011parallel,
5654  title		= {{Parallel performance of the PETSc Krylov methods applied to linear systems of 3D
5655		  nanodevice simulators}},
5656  author	= {Garcia-Rivera, A. and Valin, R. and Seoane, N. and Garcia-Loureiro, A. and
5657		  Aldegunde, M.},
5658  booktitle	= {Electron Devices (CDE), 2011 Spanish Conference on},
5659  pages		= {1--4},
5660  organization	= {IEEE},
5661  petsc_uses	= {KSP}
5662}
5663
5664@Conference{	  wesley2006parallel,
5665  title		= {{A parallel artificial neural network implementation}},
5666  author	= {Wesley-Smith, I.},
5667  booktitle	= {Proceedings of The National Conference On Undergraduate Research (NCUR)},
5668  year		= {2006},
5669  petsc_uses	= {KSP}
5670}
5671
5672@Article{	  hcsw1,
5673  author	= {F.-N. Hwang and S.-R. Cai and Y.-L. Shao and J.-S. Wu},
5674  title		= {Parallel Newton-Krylov-Schwarz algorithms for the three-dimensional
5675		  Poisson-Boltzmann equation in numerical simulation of colloidal particle
5676		  interactions},
5677  journal	= {Computer Physics Communications},
5678  volumne	= {181},
5679  year		= {2010},
5680  pages		= {1529--1537},
5681  petsc_uses	= {KSP}
5682}
5683
5684@Article{	  hh1,
5685  author	= {C.-Y. Huang and F.-N. Hwang},
5686  title		= {Parallel pseudo-transient Newton-Krylov-Schwarz continuation algorithms for
5687		  bifurcation analysis of incompressible sudden expansion flows},
5688  journal	= {Applied Numerical Mathematics},
5689  volume	= {60},
5690  year		= {2010},
5691  pages		= {738--751},
5692  petsc_uses	= {KSP}
5693}
5694
5695@Article{	  hwhw1,
5696  author	= {F.-N. Hwang and Z.-H. Wei and T.-M. Huang and W. Wang},
5697  title		= {A parallel additive Schwarz preconditioned Jacobi-Davidson algorithm for
5698		  polynomial eigenvalue problems in quantum dot simulation},
5699  journal	= {Journal of Computational Physics},
5700  volume	= {229},
5701  year		= {2010},
5702  pages		= {2932--2947},
5703  petsc_uses	= {KSP}
5704}
5705
5706@Article{	  wei2011parallel,
5707  title		= {{A Parallel Scalable PETSc-Based Jacobi-Davidson Polynomial Eigensolver with
5708		  Application in Quantum Dot Simulation}},
5709  author	= {Wei, Z.H. and Hwang, F.N. and Huang, T.M. and Wang, W.},
5710  journal	= {Domain Decomposition Methods in Science and Engineering XIX},
5711  pages		= {157--164},
5712  year		= {2011},
5713  publisher	= {Springer},
5714  petsc_uses	= {KSP}
5715}
5716
5717@Article{	  flores2007sequential,
5718  title		= {{Sequential and parallel resolution of the two-group transient neutron diffusion
5719		  equation using second-degree iterative methods}},
5720  author	= {Flores-S{\'a}nchez, O. and Vidal, V. and Garc{\'\i}a, V. and Flores-S{\'a}nchez, P.},
5721  journal	= {High Performance Computing for Computational Science-VECPAR 2006},
5722  pages		= {426--438},
5723  year		= {2007},
5724  publisher	= {Springer},
5725  petsc_uses	= {KSP}
5726}
5727
5728@InProceedings{	  gordonbell09,
5729  author	= {Dinesh Kaushik and Michael Smith and Allan Wollaber and Barry Smith and Andrew
5730		  Siegel and Won Sik Yang},
5731  title		= {Enabling High Fidelity Neutron Transport Simulations on Petascale Architectures},
5732  booktitle	= {ACM/IEEE Proceedings of SC2009: High Performance Networking and Computing},
5733  note		= {{SC'09 Gordon Bell} Prize Finalist},
5734  year		= {2009},
5735  petsc_uses	= {KSP}
5736}
5737
5738@Article{	  knepleykarpeevdavidovitseisenberggillespie10,
5739  author	= {Matthew G. Knepley and Dmitry A. Karpeev and Seth Davidovits and Robert~S.
5740		  Eisenberg and Dirk Gillespie},
5741  title		= {An Efficient Algorithm for Classical Density Functional Theory in Three
5742		  Dimensions: Ionic Solutions},
5743  journal	= {Journal of Physical Chemistry},
5744  volume	= {132},
5745  number	= {12},
5746  pages		= {124101--124111},
5747  url		= {http://arxiv.org/abs/0910.1531},
5748  year		= {2010},
5749  petsc_uses	= {KSP}
5750}
5751
5752@Article{	  knepleykarpeeveisenberggillespie09,
5753  author	= {{Knepley}, M.~G. and {Karpeev}, D.~A. and {Eisenberg}, R.~S. and {Gillespie},
5754		  D.},
5755  title		= {{Energetics of Calcium Selectivity: A Three-Dimensional Classical Density
5756		  Functional Theory Approach}},
5757  journal	= {Biophysical Journal},
5758  month		= {feb},
5759  volume	= {96},
5760  pages		= {661},
5761  doi		= {10.1016/j.bpj.2008.12.3494},
5762  year		= {2009},
5763  petsc_uses	= {KSP}
5764}
5765
5766@Article{	  scx2008,
5767  author	= {SUWITO AND XIAO-CHUAN CAI AND YUNPING XI},
5768  title		= {PARALLEL FINITE ELEMENT METHOD FOR COUPLED CHLORIDE MOISTURE DIFFUSION IN
5769		  CONCRETE},
5770  journal	= {INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING},
5771  volume	= {3},
5772  number	= {4},
5773  year		= {2006},
5774  url		= {http://www.math.ualberta.ca/ijnam/Volume-3-2006/No-4-06/2006-04-06.pdf},
5775  petsc_uses	= {KSP}
5776}
5777
5778@TechReport{	  kdgs2008,
5779  year		= {2008},
5780  school	= {Centro Internacional de Methodos Numericos en Ingenieria, Argentina},
5781  title		= {High Performance Simulations of Electrokinetic Flow and Transport in Microfluidic
5782		  Chips},
5783  author	= {Pablo A. Klera and Lisandro D. Dalcin and Fabio A. Guarnieria and Mario A.
5784		  Stortia},
5785  url		= {http://www.cimec.org.ar/ojs/index.php/cmm/article/view/1383},
5786  petsc_uses	= {KSP}
5787}
5788
5789@Article{	  springerlink:10.1007/s10915-011-9551-x,
5790  author	= {Schauer, Marco and Roman, Jose and Quintana-Ortí, Enrique and Langer, Sabine},
5791  affiliation	= {Institut für Angewandte Mechanik, Technische Universität Carolo-Wilhelmina zu
5792		  Braunschweig, Spielmannstraße 11, 38106 Braunschweig, Germany},
5793  title		= {Parallel Computation of 3-D Soil-Structure Interaction in Time Domain with a
5794		  Coupled FEM/SBFEM Approach},
5795  journal	= {Journal of Scientific Computing},
5796  publisher	= {Springer Netherlands},
5797  issn		= {0885-7474},
5798  keyword	= {Mathematics and Statistics},
5799  pages		= {1-22},
5800  doi		= {10.1007/s10915-011-9551-x},
5801  petsc_uses	= {KSP}
5802}
5803
5804@TechReport{	  jj2007,
5805  author	= {Boris Jeremic and Guanzhou Jie},
5806  title		= {Parallel Finite Element Computations for Soil-Foundation-Structure Interaction
5807		  Problems Report},
5808  institution	= {UCD CompGeoMech 02--2007},
5809  year		= {2007},
5810  url		= {http://sokocalo.engr.ucdavis.edu/~jeremic/wwwpublications/CV-R23.pdf},
5811  petsc_uses	= {KSP}
5812}
5813
5814@Unpublished{	  kuiper08,
5815  title		= {Fast 3D frequency-dependent Radiative Transfer for Magneto-Hydrodynamics},
5816  author	= {Rolf Kuiper},
5817  institution	= {Max-Planck-Institute for Astronomy},
5818  url		= {http://www.mpia.de/~kuiper/MAKEMAKE.html},
5819  year		= {2008},
5820  petsc_uses	= {KSP}
5821}
5822
5823@Article{	  williamson2012multidimensional,
5824  title		= {Multidimensional multiphysics simulation of nuclear fuel behavior},
5825  author	= {Williamson, R.L. and Hales, J.D. and Novascone, S.R. and Tonks, M.R. and Gaston,
5826		  D.R. and Permann, C.J. and Andrs, D. and Martineau, R.C.},
5827  journal	= {Journal of Nuclear Materials},
5828  volume	= {423},
5829  number	= {1},
5830  pages		= {149--163},
5831  year		= {2012},
5832  publisher	= {Elsevier},
5833  petsc_uses	= {KSP}
5834}
5835
5836@InProceedings{	  kucukboyaci2015cobra,
5837  title		= {COBRA-TF parallelization and application to PWR reactor core subchannel DNB
5838		  analysis},
5839  author	= {Kucukboyaci, Vefa and Sung, Yixing and Salko, Robert},
5840  booktitle	= {Joint International Conference on Mathematics and Computation, Supercomputing in
5841		  Nuclear Applications and the Monte Carlo Method},
5842  pages		= {1--18},
5843  year		= {2015},
5844  petsc_uses	= {KSP}
5845}
5846
5847@Article{	  hales2012solving,
5848  title		= {Solving Nonlinear Solid Mechanics Problems with the {J}acobian-{F}ree {N}ewton
5849		  {K}rylov Method},
5850  author	= {Hales, J.D. and Novascone, S.R. and Williamson, R.L. and Gaston, D.R. and Tonks,
5851		  M.R.},
5852  journal	= {Computer Modeling in Engineering \& Sciences(CMES)},
5853  volume	= {84},
5854  number	= {2},
5855  pages		= {123--153},
5856  year		= {2012},
5857  publisher	= {Tech Science Press},
5858  petsc_uses	= {KSP}
5859}
5860
5861@InProceedings{	  srksyp2008,
5862  author	= {M. A. Smith and C. Rabiti and D. Kaushik and B. Smith and W. S. Yang and G.
5863		  Palmiotti},
5864  title		= {Fast reactor core simulations using the {UNIC} code},
5865  booktitle	= {Proceedings of the International Conference on the Physics of Reactors, Nuclear
5866		  Power: A Sustainable Resource},
5867  year		= {2008},
5868  petsc_uses	= {KSP}
5869}
5870
5871@InProceedings{	  psrlkssl2007,
5872  author	= {G. Palmiotti and M. A. Smith and C. Rabiti and M. Leclere and D. Kaushik and A.
5873		  Siegel and B. Smith and E. E. Lewis},
5874  title		= {{UNIC}: Ultimate Neutronic Investigation Code},
5875  booktitle	= {Joint International Topical Meeting on Mathematics and Computation and
5876		  Supercomputing in Nuclear Applications},
5877  year		= {2007},
5878  petsc_uses	= {KSP}
5879}
5880
5881@InProceedings{	  sprkssl2007,
5882  author	= {M. A. Smith and G. Palmiotti and C. Rabiti and D. Kaushik and A. Siegel and B.
5883		  Smith and E. E. Lewis},
5884  title		= {{PNFE} Component of the {UNIC} Code},
5885  booktitle	= {Joint International Topical Meeting on Mathematics and Computation and
5886		  Supercomputing in Nuclear Applications},
5887  year		= {2007},
5888  petsc_uses	= {KSP}
5889}
5890
5891@InProceedings{	  dc-oop-03,
5892  author	= {H. Digonnet and T. Coupez},
5893  title		= {Object-oriented programming for fast-and-easy development of parallel
5894		  applications in forming processes simulation},
5895  booktitle	= {Proceedings of the Second MIT Conference on Computational Fluid and Solid
5896		  Mechanics},
5897  year		= {2003},
5898  petsc_uses	= {KSP}
5899}
5900
5901@InProceedings{	  dc-cfm-03,
5902  author	= {H. Digonnet and T. Coupez},
5903  title		= {Calcul parallele en mise en forme des materiaux},
5904  booktitle	= {XVIeme Congres Francais de Mecanique},
5905  year		= {2003},
5906  petsc_uses	= {KSP}
5907}
5908
5909@InProceedings{	  dsc-pcsev-04,
5910  author	= {H. Digonnet and L. Silva and T. Coupez},
5911  title		= {Parallel computation for solving efficiently viscoelastic fluid flow problems},
5912  booktitle	= {Proceedings of ECCOMAS 2004},
5913  year		= {2004},
5914  petsc_uses	= {KSP}
5915}
5916
5917@InProceedings{	  dsc-pca3fs-04,
5918  author	= {H. Digonnet and L. Silva and T. Coupez},
5919  title		= {Parallel computation applied to 3D FE simulation of polymer injection molding},
5920  booktitle	= {Proceedings of WCCM VI},
5921  year		= {2004},
5922  petsc_uses	= {KSP}
5923}
5924
5925@InProceedings{	  dbcs-cpaac-05,
5926  author	= {H. Digonnet and O. Basset and T. Coupez and L. Silva},
5927  title		= {Calcul parallele appliqu aux coulements de fluides complexe},
5928  booktitle	= {Proceedings of Eme Congres Francais de Mecanique},
5929  year		= {2005},
5930  petsc_uses	= {KSP}
5931}
5932
5933@Article{	  sz2010,
5934  author	= {B. Smith and H. Zhang},
5935  title		= {Sparse Triangular Solves for {ILU} Revisited: Data Layout Crucial to Better
5936		  Performance},
5937  journal	= {International Journal of High Performance Computing Applications},
5938  volume	= {25},
5939  number	= {4},
5940  pages		= {386--391},
5941  year		= {2011},
5942  petsc_uses	= {KSP}
5943}
5944
5945@Article{	  zssz2006,
5946  author	= {H. Zhang and B. Smith and M. Sternberg and P. Zapol},
5947  title		= {{SIPs}: Shift-and-Invert Parallel Spectral Transformations},
5948  journal	= {TOMS},
5949  url		= {http://math.nist.gov/toms/Current.html#v33n2},
5950  volumne	= {33},
5951  number	= {2},
5952  year		= {2007},
5953  petsc_uses	= {KSP}
5954}
5955
5956@Article{	  gs2006,
5957  author	= {Fang Jin and Nivedita R. Gupta and Kathleen J. Stebe},
5958  title		= {The detachment of a viscous drop in a viscous solution in the presence of a
5959		  soluble surfactant},
5960  journal	= {Phys. Fluids},
5961  volume	= {18},
5962  year		= {2006},
5963  url		= {http://scitation.aip.org/dbt/dbt.jsp?KEY=PHFLE6&Volume=LASTVOL&Issue=LASTISS},
5964  petsc_uses	= {KSP}
5965}
5966
5967@Article{	  jmemsci,
5968  author	= {Bo Zhou and Adam Powell},
5969  title		= {Phase Field Simulations of Liquid-Liquid Demixing During Immersion Precipitation
5970		  of Polymeric Membranes in 2D and 3D},
5971  journal	= {J. Membrane Sci.},
5972  volume	= {268},
5973  number	= {2},
5974  pages		= {150--164},
5975  year		= {2006},
5976  month		= jan,
5977  day		= {15},
5978  doi		= {10.1016/j.memsci.2005.05.030},
5979  petsc_uses	= {KSP}
5980}
5981
5982@InProceedings{	  vbde2002,
5983  author	= {Anke Veser and Wolfgang Breitung and Sergey Dorofeev and Alexander Efimenko},
5984  title		= {Flame Acceleration Distance in Obstacle-Laden Tubes},
5985  booktitle	= {Proceedings of the NINTH INTERNATIONAL CONFERENCE ON NUMERICAL COMBUSTION},
5986  url		= {http://web.ing.unisannio.it/icnc2002/CP21Turbulent_Combustion-Deflagrations_Jets_&_Fires.pdf},
5987  year		= {2002},
5988  petsc_uses	= {KSP}
5989}
5990
5991@InProceedings{	  wid2005,
5992  author	= {Alexander I. Bobenko and Peter Schrader},
5993  title		= {Discrete Willmore Flow},
5994  booktitle	= {Eurographics Symposium on Geometry Processing},
5995  url		= {http://www.math.tu-berlin.de/\~{ }bobenko/Papers/Willmore.pdf},
5996  year		= {2005},
5997  editor	= {M. Desbrun and H. Pottmann},
5998  petsc_uses	= {KSP}
5999}
6000
6001@Article{	  stj2003,
6002  author	= {A. Scascighini and A. Troxler and R. Jeltsch},
6003  journal	= {International Journal for Numerical Methods in Fluids},
6004  volume	= {41},
6005  issue		= {4},
6006  title		= {A numerical method for inverse design based on the inverse Euler equations},
6007  year		= {2003},
6008  pages		= {339--355},
6009  url		= {http://www3.interscience.wiley.com/cgi-bin/abstract/102521480/ABSTRACT},
6010  petsc_uses	= {KSP}
6011}
6012
6013@PhDThesis{	  as2001,
6014  author	= {ANDREA SCASCIGHINI},
6015  title		= {A Numerical Method for the Design of Internal Flow Configurations Based on the
6016		  Inverse Euler Equations},
6017  school	= {SWISS FEDERAL INSTITUTE OF TECHNOLOGY, ZURICH},
6018  year		= {2001},
6019  url		= {http://www.sam.math.ethz.ch/\~{ }andrea/},
6020  petsc_uses	= {KSP}
6021}
6022
6023@Article{	  hb2005,
6024  author	= {E. McKay Hyde and Oscar P. Bruno},
6025  journal	= {Journal of Computational Physics},
6026  volume	= {202},
6027  title		= {A fast, higher-order solver for scattering by penetrable bodies in three
6028		  dimensions},
6029  year		= {2005},
6030  pages		= {236--261},
6031  url		= {http://www.acm.caltech.edu/\~{ }bruno/hyde_bruno_3d_jcp.pdf},
6032  petsc_uses	= {KSP}
6033}
6034
6035@MastersThesis{	  d2002,
6036  author	= {Matthew F Dixon},
6037  title		= {PARALLEL SOLUTION OF HIGH ORDER FINITE DIFFERENCE SCHEMES FOR PRICING
6038		  MULTI-DIMENSIONAL AMERICAN OPTIONS},
6039  school	= {READING UNIVERSITY},
6040  year		= {2002},
6041  url		= {http://www.ma.ic.ac.uk/\~{ }mdixion/papers/MScThesis.pdf.gz},
6042  petsc_uses	= {KSP}
6043}
6044
6045@TechReport{	  gzb,
6046  author	= {David Gleich and Leonid Zhukov and Pavel Berkhin},
6047  title		= {Fast Parallel PageRank: A Linear System Approach},
6048  institution	= {Stanford University},
6049  year		= {2004},
6050  url		= {http://www.gg.caltech.edu/\~{ }zhukov/papers/ParallelPageRank-paper.pdf},
6051  petsc_uses	= {KSP}
6052}
6053
6054@PhDThesis{	  yergeau-99,
6055  author	= {Daniel W. Yergeau},
6056  title		= {A DIAL-AN-OPERATOR APPROACH TO SIMULATION OF IMPURITY DIFFUSION IN
6057		  SEMICONDUCTORS},
6058  school	= {Stanford},
6059  year		= {1999},
6060  url		= {http://www-tcad.stanford.edu/tcad/pubs/theses/yergeau.pdf},
6061  petsc_uses	= {KSP}
6062}
6063
6064@InProceedings{	  rathkopf-miller-00,
6065  author	= {J.A. Rathkopf and D.S. Miller and J.M. Owen and L.M. Stuart and M.R. Zika and
6066		  P.G. Eltgroth and N.K. Madsen and K.P. McCandless and P.F. Nowak and M.K. Nemanic
6067		  and N.A. Gentile and N.D. Keen and T.S. Palmer},
6068  title		= {{KULL}: {LLNL}'s {ASCI} Inertial Confinement Fusion Simulation Code},
6069  year		= {2000},
6070  booktitle	= {Physor 2000 American Nuclear Society Topical Meeting on Advances in Reactor
6071		  Physics and Mathematics and Computation into the Next Millennium},
6072  url		= {http://www.llnl.gov/tid/lof/documents/pdf/237860.pdf},
6073  lab		= {LLNL},
6074  petsc_uses	= {KSP}
6075}
6076
6077@Article{	  bonfi-palma-pas-05,
6078  author	= {A. Bonfiglioli and P. De Palma and G. Pascazio and M. Napolitano},
6079  journal	= {Journal of Turbomachinery},
6080  volume	= {127},
6081  title		= {An Implicit Fluctuation Splitting Scheme for Turbomachinery Flows},
6082  year		= {2005},
6083  pages		= {395-401},
6084  petsc_uses	= {KSP}
6085}
6086
6087@InProceedings{	  fettig-sobh-05,
6088  author	= {John Fettig and Nahil Sobh and Dmitriy V. Melnikov and Jean-Pierre Leburton},
6089  title		= {High Performance Algorithms for Scalable Spin-Qubit Circuits with Quantum Dots},
6090  year		= {2005},
6091  booktitle	= {Proceedings of the 5th International Conference on Linux Clusters},
6092  url		= {http://www.linuxclustersinstitute.org/Linux-HPC-Revolution/Archive/PDF05/28-Fettig_J.pdf},
6093  petsc_uses	= {KSP}
6094}
6095
6096@TechReport{	  melnikov-matagne-05,
6097  author	= {Dmitriy V. Melnikov and Philippe Matagne and Jean-Pierre Leburton and D.G.
6098		  Austing and G. Yu and S. Tarucha and John Fettig and Nahil Sobh},
6099  title		= {Spin configurations in circular and rectangular vertical quantum dots in a
6100		  magnetic field: Three-dimensional self-consistent simulation},
6101  year		= {2005},
6102  number	= {Arxiv preprint cond-mat/0506585},
6103  url		= {http://arxiv.org/pdf/cond-mat/0506585},
6104  petsc_uses	= {KSP}
6105}
6106
6107@InProceedings{	  richard-smedley-03,
6108  author	= {Richard P. Smedley-Stevenson},
6109  title		= {PARALLEL THERMAL RADIATION TRANSPORT IN TWO DIMENSIONS},
6110  year		= {2003},
6111  booktitle	= {18th International Conference on Transport Theory (18 ICTT)},
6112  url		= {http://www.iprj.uerj.br/\~{ }ricardob/Evento_Cientifico_html/poster03j.pdf},
6113  petsc_uses	= {KSP}
6114}
6115
6116@Article{	  guan-godoy-ravaioli-03,
6117  author	= {D. Guan and A. Godoy and U. Ravaioli and F. Gamiz},
6118  journal	= {Journal of Computational Electronics},
6119  volume	= {2},
6120  title		= {Comparison Between Non-Equilibrium Green's Function and Monte Carlo Simulations
6121		  for Transport in a Silicon Quantum Wire Structure},
6122  year		= {2003},
6123  pages		= {335--339},
6124  petsc_uses	= {KSP}
6125}
6126
6127@Article{	  ovtchinnikovcai04,
6128  author	= {S. Ovtchinnikov and X.-C. Cai},
6129  journal	= {Numer. Lin. Alg. Applics},
6130  volume	= {11},
6131  title		= {One-level Newton-Krylov-Schwarz algorithm for unsteady nonlinear radiation
6132		  diffusion problem},
6133  year		= {2004},
6134  pages		= {867--881},
6135  petsc_uses	= {KSP}
6136}
6137
6138@Article{	  mixedstress,
6139  title		= {Floating Solids: Combining Phase Field and Fluid-Structure Interactions},
6140  author	= {Adam Powell and David Dussault},
6141  journal	= {Appl. Numer. Anal. Comp. Math.},
6142  volume	= {2},
6143  number	= {1},
6144  year		= {2005},
6145  pages		= {157--166},
6146  petsc_uses	= {KSP}
6147}
6148
6149@Article{	  dhh2005,
6150  author	= {G. Deli\'ege and F. Henrotte and K. Hameyer},
6151  title		= {Accuracy analysis of the thrust force in 2D-3D finite element models},
6152  journal	= {International Journal for Computation and Mathematics in Electrical and
6153		  Electronic Engineering (COMPEL)},
6154  year		= {2005},
6155  petsc_uses	= {KSP}
6156}
6157
6158@Article{	  dhh2004,
6159  author	= {G. Deli\'ege and F. Henrotte and W. Deprez and K. Hameyer},
6160  title		= {Finite element modelling of ion convection by electrostatic forces},
6161  journal	= {IEE Proceedings Science, Measurement and Technology},
6162  year		= {2004},
6163  volume	= {151},
6164  number	= {6},
6165  petsc_uses	= {KSP}
6166}
6167
6168@Article{	  adams-07b,
6169  author	= {Adams M.F.},
6170  title		= {Algebraic Multigrid Techniques for Strongly Indefinite Linear Systems from Direct
6171		  Frequency Response Analysis in Solid Mechanics},
6172  journal	= {Computional Mechanics},
6173  year		= {2007},
6174  volume	= {39},
6175  number	= {4},
6176  pages		= {497-507},
6177  petsc_uses	= {KSP}
6178}
6179
6180@InProceedings{	  wc2004,
6181  author	= {A. Wheelock and D. Cooke},
6182  title		= {Computational Modeling of Ion Beam-Neutralizer Interactions in Two and Three
6183		  Dimensions},
6184  year		= {2004},
6185  booktitle	= {40th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit},
6186  url		= {http://www.aiaa.org/content.cfm?pageid=406&gTable=Paper&gID=19282},
6187  petsc_uses	= {KSP}
6188}
6189
6190@InProceedings{	  allard-gouranton-ipts2002,
6191  author	= {Jeremie Allard and Valerie Gouranton and Emmanuel Melin and Bruno Raffin},
6192  title		= {Parallelizing Pre-rendering Computations on a Net Juggler PC Cluster},
6193  year		= {2002},
6194  booktitle	= {Immersive Projection Technology Symposium},
6195  url		= {http://www-id.imag.fr/\~{ }allardj/files/ipts2002.pdf},
6196  petsc_uses	= {KSP}
6197}
6198
6199@Article{	  icc,
6200  author	= {D Ioan and G Ciuprina and C Ciobotaru},
6201  title		= {Hybrid and concurrent algorithms for nonlinear magnetic field problems},
6202  journal	= {IEEE Transactions on Magnetics},
6203  year		= {2000},
6204  url		= {http://ieeexplore.ieee.org/Xplore/login.jsp?url=/iel5/20/19005/00877735.pdf},
6205  petsc_uses	= {KSP}
6206}
6207
6208@InProceedings{	  hs1,
6209  author	= {Brian J. Henz and Dale R. Shires},
6210  title		= {Development and Performance Analysis of a Parallel Finite Element Application
6211		  Implemented in an Object-Oriented Programming Framework},
6212  year		= {2003},
6213  booktitle	= {PDPTA 2003},
6214  pages		= {1286-1292},
6215  note		= {Resin Transfer Modeling},
6216  petsc_uses	= {KSP}
6217}
6218
6219@TechReport{	  b2000,
6220  author	= {Rickard Bergstrom},
6221  title		= {Least-Squares Finite Element Methods for Electromagnetic Applications},
6222  year		= {2000},
6223  institution	= {Chalmers},
6224  number	= {2000-05},
6225  url		= {http://www.phi.chalmers.se/pub/preprints/ps/phiprint-2000-05.ps},
6226  petsc_uses	= {KSP}
6227}
6228
6229@Article{	  fs2004,
6230  author	= {Petri Fast and Michael J. Shelley},
6231  title		= {A Moving Overset Grid Method for Interface Dynamics Applied to Non-Newtonian Hele
6232		  Shaw Flow},
6233  journal	= {Journal of Computational Physics},
6234  year		= {2004},
6235  volume	= {195},
6236  url		= {http://www.math.nyu.edu/faculty/shelley/papers/FS2004.pdf},
6237  pages		= {117-142},
6238  petsc_uses	= {KSP}
6239}
6240
6241@MastersThesis{	  wallach,
6242  author	= {Hanna Wallach},
6243  title		= {Efficient Training of Conditional Random Fields},
6244  school	= {University of Edinburgh},
6245  year		= {2002},
6246  url		= {http://scholar.google.com/url?sa=U&q=http://www.hcrc.ed.ac.uk/\~{
6247		  }osborne/msc-projects/wallach.ps.gz},
6248  petsc_uses	= {KSP}
6249}
6250
6251@Article{	  something,
6252  author	= {T Rylander and A Bondeson},
6253  title		= {Stability of explicit-implicit hybrid time-stepping schemes for Maxwells
6254		  equations},
6255  journal	= {Journal of Computational Physics},
6256  year		= {2002},
6257  volume	= {179},
6258  pages		= {426-438},
6259  petsc_uses	= {KSP}
6260}
6261
6262@TechReport{	  uf1,
6263  author	= {Uwe Fabricius},
6264  title		= {Comparison of two implementations of AMG-preconditioned CG considering an
6265		  electrostatic problem},
6266  year		= {2004},
6267  institution	= {Friedrich Alexander Universitat Erlangen Nurnberg Germany},
6268  url		= {http://www10.informatik.uni-erlangen.de/de/Publications/TechnicalReports/TechRep04-1.pdf},
6269  number	= {04-1},
6270  petsc_uses	= {KSP}
6271}
6272
6273@InBook{	  sg1,
6274  author	= {Natalia Seoane and A.J.Garca-Loureiro},
6275  chapter	= {Analysis of Parallel Numerical Libraries to Solve the 3D Electron Continuity
6276		  Equation},
6277  url		= {http://www.springerlink.com/app/home/contribution.asp?wasp=h0xlulyhugck3y2gnt2l&referrer=parent&backto=issue,79,112;journal,212,1787;linkingpublicationresults,1:105633,1},
6278  title		= {Lecture Notes in Computer Science},
6279  publisher	= {Springer-Verlag},
6280  volume	= {3037},
6281  year		= {2004},
6282  petsc_uses	= {KSP}
6283}
6284
6285@Article{	  nikyilmazgivisheikhipope10,
6286  author	= {M. B. Nik and S. L. Yilmaz and P. Givi and M. R. H. Sheikhi and S. B. Pope},
6287  title		= {Simulation of Sandia Flame D Using Velocity-Scalar Filtered Density Function},
6288  journal	= {AIAA Journal},
6289  volume	= {48},
6290  number	= {7},
6291  pages		= {1513--1522},
6292  year		= {2010},
6293  petsc_uses	= {KSP}
6294}
6295
6296@Article{	  nikyilmazsheikhigivi10,
6297  author	= {Mehdi B. Nik and Server L. Yilmaz and Mohammad Reza H. Sheikhi and Peyman Givi},
6298  title		= {Grid Resolution Effects on VSFMDF/LES},
6299  journal	= {Flow, Turbulence and Combustion},
6300  doi		= {10.1007/s10494-010-9272-5},
6301  year		= {2010},
6302  petsc_uses	= {KSP}
6303}
6304
6305@Article{	  idema2013towards,
6306  title		= {Towards faster solution of large power flow problems},
6307  author	= {Idema, Reijer and Papaefthymiou, Georgios and Lahaye, Domenico and Vuik, Cornelis
6308		  and van der Sluis, Lou},
6309  journal	= {Power Systems, IEEE Transactions on},
6310  volume	= {28},
6311  number	= {4},
6312  pages		= {4918--4925},
6313  year		= {2013},
6314  publisher	= {IEEE},
6315  petsc_uses	= {KSP}
6316}
6317
6318@Article{	  6026245,
6319  author	= {Idema, R. and Lahaye, D.J.P. and Vuik, C. and Van der Sluis, L.},
6320  journal	= {Power Systems, IEEE Transactions on},
6321  title		= {Scalable Newton-Krylov Solver for Very Large Power Flow Problems},
6322  year		= {2012},
6323  month		= {Feb},
6324  volume	= {27},
6325  number	= {1},
6326  pages		= {390-396},
6327  doi		= {10.1109/TPWRS.2011.2165860},
6328  issn		= {0885-8950},
6329  petsc_uses	= {KSP}
6330}
6331
6332@Book{		  idema2014computational,
6333  title		= {Computational Methods in Power System Analysis},
6334  author	= {Idema, Reijer and Lahaye, Domenico JP},
6335  year		= {2014},
6336  publisher	= {Springer},
6337  petsc_uses	= {KSP}
6338}
6339
6340@PhDThesis{	  abhyankar2011thesis,
6341  author	= {Shrirang Abhyankar},
6342  title		= {Development of an implicitly coupled electromechanical and electromagnetic
6343		  transients simulator for power systems},
6344  school	= {Illinois Institute of Technology},
6345  year		= {2011},
6346  petsc_uses	= {KSP}
6347}
6348
6349@InProceedings{	  abhyankarhipcna11-1,
6350  author	= {Shrirang Abhyankar and Barry Smith and Hong Zhang and A. Flueck},
6351  title		= {Using {PETSc} to develop scalable applications for next-generation power grid},
6352  year		= {2011},
6353  booktitle	= {Proceedings of the 1st International Workshop on High Performance Computing,
6354		  Networking and Analytics for the Power Grid},
6355  url		= {http://www.mcs.anl.gov/uploads/cels/papers/P1957-0911.pdf},
6356  publisher	= {ACM},
6357  petsc_uses	= {KSP}
6358}
6359
6360@InProceedings{	  abhyankarhipcna11-2,
6361  author	= {Shrirang Abhyankar and Alexander Flueck and Xu Zhang and Hong Zhang},
6362  title		= {Development of a parallel three-phase transient stability simulator for power
6363		  systems},
6364  year		= {2011},
6365  booktitle	= {Proceedings of the 1st International Workshop on High Performance Computing,
6366		  Networking and Analytics for the Power Grid},
6367  publisher	= {ACM},
6368  petsc_uses	= {KSP}
6369}
6370
6371@InProceedings{	  abhyankarpesgeneral2012,
6372  author	= {Shrirang Abhyankar and A. Flueck},
6373  title		= {An implicitly-coupled solution approach for combined electromechanical and
6374		  electromagnetic transients simulation},
6375  year		= {2012},
6376  booktitle	= {Proceedings of the IEEE PES General Meeting},
6377  publisher	= {IEEE},
6378  petsc_uses	= {KSP}
6379}
6380
6381@Article{	  idemalahayevuiksluis2012,
6382  author	= {Reijer Idema and Domenico Lahaye and Cornelis Vuik and Lou van der Sluis},
6383  title		= {Scalable Newton-Krylov solver for very large Power Flow problems},
6384  journal	= {IEEE Transactions on Power Systems},
6385  year		= {2012},
6386  volume	= {27},
6387  pages		= {390-396},
6388  petsc_uses	= {KSP}
6389}
6390
6391@Article{	  korrestzavellasgalinas2013,
6392  author	= {George N. Korres and Anastasios Tzavellas and Evangelos Galinas},
6393  title		= {A distributed implementation of multi-area power system state estimation on a
6394		  cluster of computers },
6395  journal	= {Electric Power Systems Research },
6396  volume	= {102},
6397  number	= {0},
6398  pages		= {20 - 32},
6399  year		= {2013},
6400  issn		= {0378-7796},
6401  doi		= {10.1016/j.epsr.2013.04.002},
6402  petsc_uses	= {KSP}
6403}
6404
6405% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
6406% LiteralHTML:<font color="#FF0000">
6407% LiteralHTML: Material failure, for example, cracking of steel beams resulting
6408% LiteralHTML: in bridge collapse and corrosion, is a little understood phenomena. Thus simulations
6409% LiteralHTML: are important for prediction and prevention. PETSc has been used
6410% LiteralHTML: in  a variety of studies of material failure.</p>
6411% LiteralHTML:</font>
6412% LiteralHTML:
6413@InProceedings{	  gray2,
6414  author	= {Yuan He and Joshua Gray and Richard Braatz and Richard Alkire},
6415  title		= {Modulized Coupled Simulation of Localized Pit Initiation in Stainless Steel},
6416  year		= {2004},
6417  booktitle	= {American Institute of Chemical Engineers 2004 Annual Meeting},
6418  petsc_uses	= {KSP}
6419}
6420
6421@InProceedings{	  gray1,
6422  author	= {J. Gray and and C. Homescu and L. Petzold and Richard Alkire},
6423  title		= {Algorithms and Computing Architectures for Solving Differential-Algebraic
6424		  Equation Systems Typically Encountered in Models of Corrosion Pit Initiation},
6425  year		= {2003},
6426  booktitle	= {Abstracts of the Electrochemical Society 204th meeting},
6427  petsc_uses	= {KSP}
6428}
6429
6430@InProceedings{	  crack2,
6431  author	= {Erin Lesulauro and Anthony R. Ingraffea and Gerd Heber and Paul A. Wawrzynek},
6432  title		= {A multiscale modeling approach to crack initiation in metallic polycrystals},
6433  booktitle	= {44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials
6434		  Conference},
6435  url		= {http://md1.csa.com/partners/viewrecord.php?requester=gs&collection=TRD&recid=A0325099AH},
6436  year		= {2003},
6437  petsc_uses	= {KSP}
6438}
6439
6440@TechReport{	  hdams1,
6441  author	= {Gerd Heber and Andrew J. Dolgert and Maxirn Alt and Karen A. Mazurkiewicz and
6442		  Lynd Stringer},
6443  title		= {Fracture Mechanics on the Intel Itanium Architecture},
6444  year		= {2001},
6445  institution	= {Intel Corporation},
6446  url		= {http://cedar.intel.com/media/pdf/scs/cptconitanium.pdf},
6447  petsc_uses	= {KSP}
6448}
6449
6450@InProceedings{	  ihwi,
6451  author	= {E. Iesulauro and G. Heber and P. A. Wawrzynek and A. R. Ingraffea},
6452  title		= {Modeling of 3D Metallic Polycrystals and Simulation of Crack Initiation},
6453  booktitle	= {International Conference ON Computational Engineering and Sciences},
6454  year		= {2002},
6455  url		= {http://www.cfg.cornell.edu/\~{ }erin/erin/ices02_iesulauro.pdf},
6456  petsc_uses	= {KSP}
6457}
6458
6459@InProceedings{	  crack,
6460  author	= {Bruce Carter and Chuin-Shan Chen and L. Paul Chew and Nikos Chrisochoides and
6461		  Guang R. Gao and Gerd Heber and Antony R. Ingraffea and Roland Krause and Chris
6462		  Myers and Demian Nave and Keshav Pingali and Paul Stodghill and Stephen Vavasis
6463		  and Paul A. Wawrzynek},
6464  title		= {Parallel FEM Simulation of Crack Propagation},
6465  booktitle	= {Proceedings of Irregular 2000},
6466  url		= {http://www.cs.cornell.edu/stodghil/papers/irregular00.ps},
6467  year		= {2000},
6468  petsc_uses	= {KSP}
6469}
6470
6471@InProceedings{	  beaudoin98,
6472  author	= {A. J. Beaudoin},
6473  title		= {Use of Polycrystal Plasticity Theory in Assessing Material Performance},
6474  booktitle	= {Simulation of materials processing: Theory, methods, and applications -
6475		  Proceedings of the Sixth International Conference, NUMIFORM'98},
6476  editor	= {J. Hu\'etink and F. P. T. Baaijens},
6477  optvolume	= {},
6478  optnumber	= {},
6479  optseries	= {},
6480  year		= {1998},
6481  optorganization={},
6482  publisher	= {A. A. Balkema Publishers},
6483  address	= {Rotterdam, Netherlands},
6484  month		= jun,
6485  optpages	= {},
6486  petsc_uses	= {KSP}
6487}
6488
6489% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
6490@TechReport{	  defordheld1,
6491  author	= {JF DeFord and BL Held},
6492  title		= {RF3P-A New Parallel Driven Frequency Electromagnetic Solver},
6493  year		= {2002},
6494  institution	= {Simulation Technology and Applied Research},
6495  url		= {http://www.staarinc.com/support/papers/aces2002.pdf},
6496  note		= {Discusses their parallel commercial solver that uses PETSc},
6497  petsc_uses	= {KSP}
6498}
6499
6500@PhDThesis{	  sande2003,
6501  author	= {Hans Vande Sande},
6502  title		= {Modelling and Finite Element Simulation of Non-Linear and Anisotropic
6503		  Quasi-Static Electromagnetic Systems},
6504  school	= {Katholieke Universiteit Leuven, Belgium},
6505  year		= {2003},
6506  petsc_uses	= {KSP}
6507}
6508
6509@Article{	  sdchh2004,
6510  author	= {H. Vande Sande and W. Deprez and J. De Coster and F. Henrotte and K. Hameyer},
6511  title		= {Reducing the Computation Time of Non-Linear Problems by an Adaptive Linear System
6512		  Tolerance},
6513  journal	= {IEEE Transactions on Magnetics},
6514  year		= {2004},
6515  volume	= {40},
6516  pages		= {1306--1309},
6517  petsc_uses	= {KSP}
6518}
6519
6520@Article{	  holst-lindblom-etal:2004,
6521  author	= {Michael Holst and Lee Lindblom and Robert Owen and Harald P. Pfeiffer and Mark A.
6522		  Scheel and Lawrence E. Kidder},
6523  title		= {Optimal constraint projection for hyperbolic evolution systems, },
6524  journal	= {Phys. Rev. D},
6525  year		= {2004},
6526  volume	= {70},
6527  pages		= {084017},
6528  petsc_uses	= {KSP}
6529}
6530
6531@Article{	  marm2005,
6532  author	= {Matthew Anderson and Richard A. Matzner},
6533  title		= {Extended Lifetime in Computational Evolution of Isolated Black Holes},
6534  journal	= {Foundations of Physics},
6535  volume	= {35},
6536  pages		= {1572--9516},
6537  year		= {2005},
6538  petsc_uses	= {KSP}
6539}
6540
6541@Article{	  cook-pfeiffer:2004,
6542  author	= {Cook, Gregory B. and Pfeiffer, Harald P.},
6543  title		= {Excision boundary conditions for black hole initial data},
6544  journal	= {Phys. Rev. D},
6545  volume	= {70},
6546  pages		= {104016--24},
6547  year		= {2004},
6548  petsc_uses	= {KSP}
6549}
6550
6551@Article{	  pfeiffer-kidder-etal:2005,
6552  author	= {Harald P. Pfeiffer and Lawrence E. Kidder and Mark A. Scheel and Deirdre
6553		  Shoemaker},
6554  title		= {Initial data for {E}instein's equations with superposed gravitational waves},
6555  journal	= {Phys. Rev. D},
6556  year		= {2005},
6557  volume	= {71},
6558  pages		= {024020},
6559  petsc_uses	= {KSP}
6560}
6561
6562@Article{	  pfeiffer-kidder-etal:2003,
6563  author	= {Pfeiffer, Harald P. and Kidder, Lawrence E. and Scheel, Mark A. and Teukolsky,
6564		  Saul A.},
6565  title		= {A multidomain spectral method for solving elliptic equations},
6566  journal	= {CPC},
6567  year		= {2003},
6568  volume	= {152},
6569  pages		= {253--273},
6570  note		= {Solves nonlinear coupled 3-D elliptic equations that arise in general relativity.
6571		  For a related online version, see arXiv:gr-qc/0202096},
6572  petsc_uses	= {KSP}
6573}
6574
6575@Article{	  pfeiffer-cook-teukolsky:2002,
6576  author	= {Pfeiffer, Harald P. and Cook, Gregory B. and Teukolsky, Saul A.},
6577  title		= {Comparing initial-data sets for binary black hole},
6578  journal	= {PRD},
6579  year		= {2002},
6580  volume	= {66},
6581  pages		= {024047},
6582  note		= {for a related online version, seearXiv:gr-qc/0203085},
6583  petsc_uses	= {KSP}
6584}
6585
6586@PhDThesis{	  pfeiffer:2003,
6587  author	= {Pfeiffer, Harald P.},
6588  title		= {Initial Data for Black Hole Evolutions},
6589  school	= {Cornell University},
6590  year		= {2003},
6591  petsc_uses	= {KSP}
6592}
6593
6594@TechReport{	  h1,
6595  author	= {Erik Schnetter},
6596  title		= {A fast apparent horizon algorithm},
6597  year		= {2002},
6598  number	= {Arxiv preprint gr-qc/0206003},
6599  url		= {http://arxiv.org/pdf/gr-qc/0206003},
6600  petsc_uses	= {KSP}
6601}
6602
6603@Article{	  h2,
6604  author	= {Erik Schnetter},
6605  title		= {Finding apparent horizons and other 2-surfaces of constant expansion},
6606  year		= {2003},
6607  journal	= {Class. Quantum Grav.},
6608  pages		= {4719-4737},
6609  volume	= {20},
6610  url		= {http://www.iop.org/EJ/article/0264-9381/20/22/001/cqg3_22_001.pdf},
6611  petsc_uses	= {KSP}
6612}
6613
6614@Article{	  adams-03a,
6615  author	= {Adams, M.~F.},
6616  journal	= {Numerical Linear Algebra with Applications},
6617  number	= {2-3},
6618  pages		= {141-153},
6619  title		= {Algebraic multigrid methods for constrained linear systems with applications to
6620		  contact problems in solid mechanics},
6621  volume	= {11},
6622  year		= {2004},
6623  petsc_uses	= {KSP}
6624}
6625
6626@Article{	  vandesande1,
6627  author	= {H. Vande Sande and H. De Gersem and F. Henrotte and K. Hameyer},
6628  journal	= {IEEE TRANSACTIONS ON MAGNETICS},
6629  year		= {2003},
6630  volume	= {39},
6631  pages		= {1709--1712},
6632  title		= {Solving Nonlinear Magnetic Problems Using Newton Trust Region Methods},
6633  petsc_uses	= {KSP}
6634}
6635
6636@InProceedings{	  vbde1,
6637  author	= {Rajesh Rawat and Jennifer P. Spinti and Wing Yee and Philip J. Smith},
6638  year		= {2002},
6639  title		= {Parallelization and Integration of a Large Scale Hydrocarbon Pool Fire in the
6640		  Uintah PSE},
6641  booktitle	= {In Proceedings of Ninth Internation Conference on Numerical Combustion - ICNC
6642		  2002},
6643  pages		= {49-55},
6644  url		= {http://web.ing.unisannio.it/icnc2002/CP21Turbulent_Combustion-Deflagrations_Jets_&_Fires.pdf},
6645  note		= {Extended abstract},
6646  petsc_uses	= {KSP}
6647}
6648
6649@Unpublished{	  ep1,
6650  title		= {An Inherently-Parallel Method for Solving Discretized Diffusion Equations},
6651  author	= {Bradley R. Eccleston and Todd S. Palmer},
6652  institution	= {Department of Nuclear Engineering, Oregon State University},
6653  url		= {http://www.physics.orst.edu/\~{ }bertrand/stuff/Year_Two_Report.pdf},
6654  note		= {Funded under the ASCI Level III: Computational Transport Issues for Large-Scale
6655		  Parallel Simulations},
6656  year		= {1999},
6657  petsc_uses	= {KSP}
6658}
6659
6660@InProceedings{	  teo2007scalable,
6661  title		= {A scalable modular convex solver for regularized risk minimization},
6662  author	= {Teo, C.H. and Smola, A. and Vishwanathan, SVN and Le, Q.V.},
6663  booktitle	= {Proceedings of the 13th ACM SIGKDD international conference on Knowledge
6664		  discovery and data mining},
6665  pages		= {727--736},
6666  year		= {2007},
6667  organization	= {ACM},
6668  petsc_uses	= {KSP}
6669}
6670
6671@InProceedings{	  rm02,
6672  author	= {Robert Malouf},
6673  year		= {2002},
6674  title		= {A comparison of algorithms for maximum entropy Parameter estimation},
6675  booktitle	= {In Proceedings of the Sixth Conference on Natural Language Learning
6676		  (CoNLL-2002)},
6677  pages		= {49-55},
6678  url		= {http://bulba.sdsu.edu/malouf/papers/conll02.pdf},
6679  petsc_uses	= {KSP}
6680}
6681
6682@Unpublished{	  hrv02,
6683  title		= {Computing the Lambda Modes of a Nuclear Reactor with {SLEPc} and {PETSc}},
6684  author	= {V. Hernandex and J. E. Roman and V. Vidal},
6685  note		= {Submitted to CMMSE},
6686  petsc_uses	= {KSP}
6687}
6688
6689@Article{	  tmh2001,
6690  author	= {Manfred Gilli and Evis Kellezi and Giorgio Pauletto},
6691  journal	= {Journal of Economic Dynamics and Control},
6692  year		= {2002},
6693  volume	= {26},
6694  pages		= {1499-1515},
6695  title		= {Solving finite difference schemes arising in trivariate option pricing},
6696  petsc_uses	= {KSP}
6697}
6698
6699@InProceedings{	  a2,
6700  author	= {C.J.Palansuriya and C-H.Lai and C.S.Ierotheou and K.A.Pericleous and D.E.Keyes},
6701  title		= {Comparison of three algorithms for nonlinear metal cutting problems},
6702  booktitle	= {Proceedings of the 11th International Conference on Domain Decomposition
6703		  Methods},
6704  editor	= {C.-H. Lai et al.},
6705  publisher	= {Domain Decomposition Press, Bergen},
6706  url		= {http://www.ddm.org/DD11/Palansuriya.ps.gz},
6707  year		= {1999},
6708  petsc_uses	= {KSP}
6709}
6710
6711@Unpublished{	  mmmdcmaa-web-page,
6712  title		= {{M}ulti-{M}odel {M}ulti-{D}omain {C}omputational {M}ethods in {A}erodynamics and
6713		  {A}coustics {W}eb Page},
6714  url		= {http://www.cs.odu.edu/\~{ }keyes/nsf},
6715  author	= {David E. Keyes},
6716  institution	= {Old Dominion University},
6717  petsc_uses	= {KSP}
6718}
6719
6720@Conference{	  liu2010parallelization,
6721  title		= {{Parallelization of Thermal Recovery Simulation Based on PETSc}},
6722  author	= {Liu, L. and Xue, W. and Shu, J. and Ma, L.},
6723  booktitle	= {International Symposium on Parallel and Distributed Processing with
6724		  Applications},
6725  pages		= {528--535},
6726  year		= {2010},
6727  organization	= {IEEE},
6728  petsc_uses	= {KSP}
6729}
6730
6731@Unpublished{	  oil-reservoir-sim-web-page,
6732  title		= {{N}ew {G}eneration {F}ramework for {P}etroleum, {R}eservoir {S}imulation},
6733  url		= {http://www.pe.utexas.edu/CPGE/new_generation},
6734  institution	= {University of Texas at Austin and Argonne National Laboratory},
6735  key		= {University of Texas at Austin and Argonne National Laboratory},
6736  petsc_uses	= {KSP}
6737}
6738
6739@Article{	  tmh2001b,
6740  author	= {V. Thiagarajan and K. Milfeld and KT. Milfeld},
6741  journal	= {IEEE TRANSACTIONS ON MAGNETICS },
6742  year		= {2001},
6743  volume	= {37},
6744  pages		= {143--146},
6745  title		= {Adapting EMAP3D to parallel processing},
6746  petsc_uses	= {KSP}
6747}
6748
6749@Article{	  harbury98,
6750  author	= {HK Harbury and W Porod},
6751  journal	= {VLSI Design},
6752  year		= {1998},
6753  volume	= {6},
6754  pages		= {47--51},
6755  title		= {Parallel computation for electronic waves in quantum corrals},
6756  petsc_uses	= {KSP}
6757}
6758
6759@Article{	  bludszuwei98,
6760  author	= {Mark Bludszuweit},
6761  journal	= {Journal of Lightwave Technology},
6762  year		= {1998},
6763  volume	= {16},
6764  number	= {7},
6765  pages		= {1336--42},
6766  title		= {Mixed Finite Element Beam Propagation Method},
6767  petsc_uses	= {KSP}
6768}
6769
6770@Article{	  s1,
6771  author	= {J. L. Friedman and N. Stergioulas},
6772  journal	= {Astrophysics Journal},
6773  year		= {1998},
6774  volume	= {492},
6775  number	= {301},
6776  pages		= {},
6777  title		= {},
6778  petsc_uses	= {KSP}
6779}
6780
6781@Article{	  s1a,
6782  author	= {S. M. Morsink and N. Stergioulas and S. Blattnig},
6783  journal	= {Astrophysics Journal},
6784  year		= {1999},
6785  volume	= {510},
6786  number	= {854},
6787  pages		= {},
6788  title		= {},
6789  petsc_uses	= {KSP}
6790}
6791
6792@PhDThesis{	  s2,
6793  author	= {N. Stergioulas},
6794  title		= {Ph. D. thesis},
6795  year		= {1996},
6796  institution	= {University of Wisconsin-Milwaukee},
6797  petsc_uses	= {KSP}
6798}
6799
6800@InProceedings{	  coral1,
6801  author	= {L. Kettunen and K. Forsman and D. Levine and W. Gropp},
6802  title		= {Solutions of TEAM Problem \#13 Using Integral Equations in a Sequential and
6803		  Parallel Computing Environment},
6804  booktitle	= {Proceedings of the Miami TEAM Workshop},
6805  location	= {Florida International University, Department of Electrical Engineering and
6806		  Computing Science},
6807  month		= nov,
6808  year		= {1993},
6809  petsc_uses	= {KSP}
6810}
6811
6812@InProceedings{	  coral2,
6813  author	= {L. Kettunen and K. Forsman and D. Levine and W. Gropp},
6814  title		= {Solutions of TEAM Problems 13 and 20 Using a Volume Integral Formulation},
6815  booktitle	= {Proceedings of Aix-les-Bains TEAM Workshop},
6816  month		= dec,
6817  year		= {1994},
6818  petsc_uses	= {KSP}
6819}
6820
6821@InProceedings{	  coral3,
6822  author	= {L. Kettunen and K. Forsman and D. Levine and W. Gropp},
6823  title		= {Computational Electromagnetics and Parallel Dense Matrix Computations},
6824  booktitle	= {Proceedings of the SIAM Parallel Processing for Scientific Computing Conference},
6825  location	= {Florida International University, Department of Electrical Engineering and
6826		  Computing Science},
6827  year		= {1995},
6828  petsc_uses	= {KSP}
6829}
6830
6831@InProceedings{	  mijalkovic,
6832  author	= {Slobodan Mijalkovi\'{c}},
6833  title		= {Evaluation of Multigrid as a Solver for Stress Analysis Problems in Semiconductor
6834		  Process Simulation},
6835  booktitle	= {Multigrid Methods VI: Proceedings of the Sixth European Multigrid Conference Held
6836		  Gent, Belgium, September 27--30, 1999.},
6837  editor	= {Erik Dick, Kris Riemslagh, Jan Vierendeels},
6838  optvolume	= {14},
6839  optseries	= {Lecture Notes in Computational Science and Engineering},
6840  year		= {2000},
6841  publisher	= {Springer},
6842  address	= {Berlin},
6843  optpages	= {179--184},
6844  petsc_uses	= {KSP}
6845}
6846
6847@Article{	  bludszuwei98a,
6848  author	= {Mark Bludszuweit},
6849  journal	= {Journal of Lightwave Technology},
6850  year		= {1998},
6851  volume	= {16},
6852  number	= {7},
6853  pages		= {1336--42},
6854  title		= {Mixed Finite Element Beam Propagation Method},
6855  petsc_uses	= {KSP}
6856}
6857
6858@Article{	  gilli-pauletto-1998,
6859  author	= {Manfred Gilli and Giorgio Pauletto},
6860  title		= {Parallel {K}rylov Methods for Econometric Model Simulation},
6861  journal	= {Computational Economics},
6862  year		= {2000},
6863  volume	= {16},
6864  pages		= {173--186},
6865  petsc_uses	= {KSP}
6866}
6867
6868% LiteralHTML:
6869% LiteralHTML:  <a name="packages"></a><H3><center>Software Packages that use or interface to PETSc</center></H3>
6870% LiteralHTML:
6871@Article{	  collierdalcincalo2013,
6872  title		= {{PetIGA}: High-Performance Isogeometric Analysis},
6873  author	= {Nathan Collier and Lisandro Dalcin and Victor M. Calo},
6874  journal	= {arxiv},
6875  year		= {2013},
6876  number	= {1305.4452},
6877  note		= {\url{http://arxiv.org/abs/1305.4452}},
6878  petsc_uses	= {KSP}
6879}
6880
6881@Article{	  collierdalcinvignalcortescalo2016,
6882  title		= {PetIGA: A framework for high-performance isogeometric analysis},
6883  author	= {Lisandro Dalcin and Nathan Collier and Philippe Vignal and AMA C{\^o}rtes and
6884		  Victor M. Calo},
6885  journal	= {Computer Methods in Applied Mechanics and Engineering},
6886  year		= {2016},
6887  petsc_uses	= {KSP}
6888}
6889
6890@Misc{		  petiga-web-page,
6891  author	= {N. Collier and L. Dalcin and V.M. Calo},
6892  title		= {{PetIGA} {W}eb page},
6893  url		= {https://bitbucket.org/dalcinl/petiga/},
6894  howpublished	= {\url{https://bitbucket.org/dalcinl/petiga/}},
6895  year		= {2014},
6896  petsc_uses	= {KSP}
6897}
6898
6899@Article{	  logg07,
6900  author	= {Logg, Anders},
6901  title		= {Automating the Finite Element Method},
6902  journal	= {Archives of Computational Methods in Engineering},
6903  volume	= {14},
6904  number	= {2},
6905  pages		= {93-138},
6906  year		= {2007},
6907  doi		= {10.1007/s11831-007-9003-9},
6908  publisher	= {Kluwer Academic Publishers},
6909  issn		= {1134-3060},
6910  language	= {English},
6911  petsc_uses	= {KSP}
6912}
6913
6914@Article{	  jezequelcouturierdenis12,
6915  author	= {Jezequel, Fabienne and Couturier, Rapha\"el and Denis, Christophe},
6916  title		= {Solving large sparse linear systems in a grid environment: the GREMLINS code
6917		  versus the PETSc library},
6918  journal	= {The Journal of Supercomputing},
6919  volume	= {59},
6920  number	= {3},
6921  pages		= {1517-1532},
6922  year		= {2012},
6923  issn		= {0920-8542},
6924  doi		= {10.1007/s11227-011-0563-y},
6925  publisher	= {Springer US},
6926  keywords	= {Asynchronous iterations; Grid computing; Iterative method; Multisplitting method;
6927		  Sparse linear solver},
6928  language	= {English},
6929  petsc_uses	= {KSP}
6930}
6931
6932@Unpublished{	  feap-web-page,
6933  title		= {FEAP: A Finite Element Analysis Program},
6934  url		= {http://www.ce.berkeley.edu/projects/feap/},
6935  author	= {FEAP Team},
6936  note		= {Uses PETSc linear solvers - iterative and direct},
6937  petsc_uses	= {KSP}
6938}
6939
6940@Unpublished{	  parpre-web-page,
6941  title		= {{ParPre} {W}eb {P}age},
6942  url		= {http://www.cs.utk.edu/\~{ }eijkhout/parpre.html},
6943  institution	= {University of Tennessee},
6944  author	= {Victor Eijkhout},
6945  note		= {This is no longer supported. A set of preconditioners built on PETSc},
6946  petsc_uses	= {KSP}
6947}
6948
6949@Unpublished{	  pism,
6950  title		= {{PISM}: a Parallel Ice Sheet Model},
6951  author	= {{PISM Team}},
6952  abstract	= {We have developed a numerical model of ice sheets called PISM (a Parallel Ice
6953		  Sheet Model). The thickness, temperature, velocity and age of the ice are all
6954		  simulated, as is the deformation of the earth underneath the ice. New techniques
6955		  for fast ice dynamics, earth deformation, and verification have are included.},
6956  note		= {\url{http://www.pism-docs.org/}},
6957  petsc_uses	= {KSP}
6958}
6959
6960@Unpublished{	  oofem,
6961  title		= {OOFEM - an object oriented finite element package},
6962  author	= {Borek Patzak},
6963  url		= {http://www.oofem.org},
6964  petsc_uses	= {KSP}
6965}
6966
6967@Unpublished{	  dks2openfvm,
6968  title		= {OpenFVM - a finite volume based general purpose CFD solver},
6969  author	= {Open source development},
6970  url		= {http://openfvm.sourceforge.net/},
6971  petsc_uses	= {KSP}
6972}
6973
6974@Unpublished{	  sundar-2008w,
6975  title		= {DENDRO: a parallel geometric multigrid library for trilinear finite elements on
6976		  octree meshes},
6977  author	= {H. Sundar and R.S. Sampath and S.S. Adavani and C. Davatzikos and G. Biros},
6978  institution	= {University of Pennsylvania},
6979  url		= {http://www.seas.upenn.edu/~csela/dendro/html/index.html},
6980  petsc_uses	= {KSP}
6981}
6982
6983@Unpublished{	  khatiwala07-software,
6984  title		= {A computational framework for simulation of biogeochemical tracers in the ocean},
6985  author	= {Khatiwala, S.},
6986  institution	= {Columbia University},
6987  url		= {http://www.ldeo.columbia.edu/\~{ }spk},
6988  petsc_uses	= {KSP}
6989}
6990
6991@InBook{	  jiaolima99,
6992  author	= {Xiangmin Jiao and Xiang-Yang Li and Xiaosong Ma},
6993  chapter	= {SIFFEA:Scalable Integrated Framework for Finite Element Analysis},
6994  url		= {http://portal.acm.org/citation.cfm?id=646895.709725},
6995  title		= {Lecture Notes in Computer Science},
6996  publisher	= {Springer-Verlag},
6997  volume	= {1732},
6998  year		= {1999},
6999  petsc_uses	= {KSP}
7000}
7001
7002@Article{	  crow1,
7003  author	= {C. S. Crow IV},
7004  title		= {DistSolve: An Open Source Web Service for Solving Sparse Systems of Equations},
7005  journal	= {Hopkins Undergraduate Research Journal},
7006  year		= {2003},
7007  url		= {http://www.jhu.edu/hurj/issue2/09D%20Crow%20DistSolve.pdf},
7008  petsc_uses	= {KSP}
7009}
7010
7011@Unpublished{	  petsc-python,
7012  title		= {PETSc for Python},
7013  author	= {L. Dalcin},
7014  url		= {https://petsc.org/main/petsc4py},
7015  note		= {Provides Python bindings for PETSc},
7016}
7017
7018@Unpublished{	  cfdship,
7019  title		= {{CFDShip-Iowa}},
7020  author	= {Pablo M. Carrica and Robert V. Wilson and Fred Stern},
7021  institution	= {University of Iowa},
7022  url		= {http://www.iihr.uiowa.edu/\~{ }cfdship/},
7023  note		= {CFDShip-Iowa is a multiblock free surface flow solver that uses overset
7024		  structured grids, designed for ship applications},
7025  petsc_uses	= {KSP}
7026}
7027
7028@Unpublished{	  bvw,
7029  title		= {Multiflow},
7030  author	= {Berend van Wachem},
7031  institution	= {Mechanical Engineering - Chalmers University of Technology},
7032  url		= {http://www.tfd.chalmers.se/\~{ }berend/page3.html},
7033  note		= {MultiFlow is a curvlinear, multiblock, multiprocessor flowsolver for multiphase
7034		  flows.},
7035  petsc_uses	= {KSP}
7036}
7037
7038@Unpublished{	  dks2,
7039  title		= {FENA - A Finite Element Model for the North Atlantic},
7040  author	= {Jens Schroeter},
7041  institution	= {Alfred-Wegener-Institute for Polar and Marine Research},
7042  url		= {http://www.awi-bremerhaven.de/Modelling/INVERSE/FENAdesc/FENAdesc.html},
7043  petsc_uses	= {KSP}
7044}
7045
7046@TechReport{	  piwonski2010idea,
7047  title		= {The Idea and Concept of {Metos3D}: {A} Marine Ecosystem Toolkit for Optimization
7048		  and Simulation in {3-D}},
7049  author	= {Piwonski, J. and Slawig, T.},
7050  year		= {2010},
7051  institution	= {Christian-Albrechts-Universit\"at zu Kiel},
7052  url		= {http://www.informatik.uni-kiel.de/uploads/tx_publication/tr_1016_01.pdf},
7053  petsc_uses	= {KSP}
7054}
7055
7056@Unpublished{	  metos3d-web,
7057  title		= {{Metos3D}: {A} Marine Ecosystem Toolkit for Optimization and Simulation in 3-D},
7058  author	= {Piwonski, J. and Slawig, T.},
7059  institution	= {Christian-Albrechts-Universit\"at zu Kiel},
7060  url		= {http://www.informatik.uni-kiel.de/en/algorithmic-optimal-control/software/metos3d/},
7061  petsc_uses	= {KSP}
7062}
7063
7064@Unpublished{	  magpar,
7065  author	= {W. Scholz},
7066  title		= {Magpar: Parallel Micromagnetics Code},
7067  institution	= {Vienna University of Technology},
7068  url		= {http://magnet.atp.tuwien.ac.at/scholz/magpar/},
7069  petsc_uses	= {KSP}
7070}
7071
7072@Misc{		  libmesh:sourceforge,
7073  author	= {},
7074  title		= {{libMesh}:a C++ framework for the numerical simulation of partial differential
7075		  equations on serial and parallel platforms},
7076  note		= {[Online]},
7077  url		= {http://libmesh.github.io},
7078  petsc_uses	= {KSP}
7079}
7080
7081@Misc{		  moose-web-page,
7082  title		= {Multiphysics {O}bject-{O}riented {S}imulation {E}nvironment ({MOOSE})},
7083  author	= {David Andrs and Cody Permann and Andrew Slaughter and Richard Martineau and Derek
7084		  Gaston and John Peterson and Jason Miller},
7085  institution	= {Idaho National Laboratory},
7086  howpublished	= {\url{http://mooseframework.org}},
7087  petsc_uses	= {KSP}
7088}
7089
7090@Article{	  gaston2009moose,
7091  title		= {MOOSE: {A} parallel computational framework for coupled systems of nonlinear
7092		  equations},
7093  author	= {Gaston, D. and Newman, C. and Hansen, G. and Lebrun-Grandi{\'e}, D.},
7094  journal	= {Nuclear Engineering and Design},
7095  volume	= {239},
7096  number	= {10},
7097  pages		= {1768--1778},
7098  year		= {2009},
7099  publisher	= {Elsevier},
7100  petsc_uses	= {KSP}
7101}
7102
7103@Article{	  tonks2012object,
7104  title		= {An object-oriented finite element framework for multiphysics phase field
7105		  simulations},
7106  author	= {Tonks, M.R. and Gaston, D. and Millett, P.C. and Andrs, D. and Talbot, P.},
7107  journal	= {Computational Materials Science},
7108  volume	= {51},
7109  number	= {1},
7110  pages		= {20--29},
7111  year		= {2012},
7112  publisher	= {Elsevier},
7113  petsc_uses	= {KSP}
7114}
7115
7116@Misc{		  pylithmanual,
7117  author	= {Brad Aagaard and Sue Kientz and Matthew G. Knepley and Surendra Somala and Leif
7118		  Strand and Charles Williams},
7119  title		= {{PyLith} User Manual Version 2.0.0},
7120  year		= {2014},
7121  url		= {http://geodynamics.org/cig/software/github/pylith/v2.0.0/pylith-2.0.0_manual.pdf},
7122  petsc_uses	= {KSP}
7123}
7124
7125@Misc{		  pylith-web-page,
7126  author	= {Brad Aagaard and Matthew G. Knepley and Charles Williams},
7127  title		= {{PyLith}},
7128  year		= {2012},
7129  url		= {http://geodynamics.org/resources/pylith/},
7130  howpublished	= {\url{http://geodynamics.org/resources/pylith/}},
7131  petsc_uses	= {KSP}
7132}
7133
7134@Misc{		  galemanual,
7135  author	= {Walter Landry and Luke Hodkinson and Susan Kientz},
7136  title		= {Gale User Manual Version 2.0.0},
7137  year		= {2011},
7138  url		= {http://geodynamics.org/cig/software/gale/gale.pdf},
7139  petsc_uses	= {KSP}
7140}
7141
7142@Unpublished{	  underworld,
7143  author	= {Louis Moresi},
7144  title		= {{UnderWorld}: A Geodynamics Modelling Code},
7145  institution	= {Monash University},
7146  url		= {http://www.mcc.monash.edu/twiki/view/Codes},
7147  petsc_uses	= {KSP}
7148}
7149
7150@Article{	  moresi2007computational,
7151  title		= {Computational approaches to studying non-linear dynamics of the crust and
7152		  mantle},
7153  author	= {Moresi, L. and Quenette, S. and Lemiale, V. and Meriaux, C. and Appelbe, B. and
7154		  M{\"u}hlhaus, H.B.},
7155  journal	= {Physics of the Earth and Planetary Interiors},
7156  volume	= {163},
7157  number	= {1-4},
7158  pages		= {69--82},
7159  year		= {2007},
7160  publisher	= {Elsevier},
7161  petsc_uses	= {KSP}
7162}
7163
7164@Article{	  pitt2009chaste,
7165  title		= {Chaste: a test-driven approach to software development for biological modelling},
7166  author	= {Pitt-Francis, J. and Pathmanathan, P. and Bernabeu, M.O. and Bordas, R. and
7167		  Cooper, J. and Fletcher, A.G. and Mirams, G.R. and Murray, P. and Osborne, J.M.
7168		  and Walter, A. and others},
7169  journal	= {Computer Physics Communications},
7170  volume	= {180},
7171  number	= {12},
7172  pages		= {2452--2471},
7173  year		= {2009},
7174  publisher	= {Elsevier},
7175  petsc_uses	= {KSP}
7176}
7177
7178@Misc{		  fenicsproject,
7179  title		= {{The FEniCS project}},
7180  author	= {Logg, A. and {\O}lgaard, K. and Rognes, M.E. and Wells, G.N. and Jansson, J. and
7181		  Kirby, R.C. and Knepley, M.G. and Lindbo, D. and Skavhaug, O.},
7182  note		= {A continually updated technical report. \url{http://fenicsproject.org}},
7183  url		= {http://fenicsproject.org},
7184  year		= {2011},
7185  petsc_uses	= {KSP}
7186}
7187
7188@Unpublished{	  snark,
7189  title		= {Snark: A suite of software for geoscientific applications and a philosophy of
7190		  scientific software development},
7191  institution	= {Victorian Partnership for Advanced Computing},
7192  url		= {http://vpac.org/Snark},
7193  petsc_uses	= {KSP}
7194}
7195
7196@Misc{		  imoose:sourceforge,
7197  author	= {Guido Arians and Thomas Bauer and Christian Kaehler and Wolfgang Mai and
7198		  Christoph Monzel and Dirk {van Riesen} and Christoph Schlensok},
7199  title		= {Innovative Modern Object-Oriented Solving Environment - {iMOOSE}},
7200  note		= {[Online]},
7201  url		= {http://imoose.sourceforge.net},
7202  petsc_uses	= {KSP}
7203}
7204
7205@Unpublished{	  fossi,
7206  author	= {Stephan Frickenhaus},
7207  title		= {FoSSI: Family of Simplified Solver Interfaces, offers scalable access to
7208		  MPI-parallel solvers from CSR-matrix format frequently used in sequential/vector
7209		  codes},
7210  institution	= {AWI-Bremerhaven, Germanny},
7211  url		= {http://www.awi.de/en/research/scientific_computing/research_topics_of_scientific_computing/fossi/},
7212  petsc_uses	= {KSP}
7213}
7214
7215@Unpublished{	  fun3dweb,
7216  author	= {Dinesh Kaushik},
7217  title		= {PETSC-FUN3D Benchmark Page},
7218  institution	= {ODU/ANL},
7219  url		= {http://www.mcs.anl.gov/petsc-fun3d},
7220  note		= {CFD Benchmark of some solvers in PETSc},
7221  petsc_uses	= {KSP}
7222}
7223
7224@Unpublished{	  scirun,
7225  author	= {SCIRun Development Team},
7226  title		= {SCIRun},
7227  institution	= {University of Utah},
7228  url		= {http://www.sci.utah.edu/stories/2001/jul_scirun120.html},
7229  note		= {SCIRun now uses PETSc linear solvers},
7230  petsc_uses	= {KSP}
7231}
7232
7233@Misc{		  prometheus,
7234  author	= {Mark F. Adams},
7235  title		= {Prometheus - A scalable unstructured finite element solver},
7236  institution	= {Berkeley},
7237  howpublished	= {\url{http://www.cs.berkeley.edu/~madams/prometheus}},
7238  url		= {http://www.cs.berkeley.edu/\~{ }madams/prometheus},
7239  petsc_uses	= {KSP}
7240}
7241
7242@Unpublished{	  illuminator,
7243  author	= {Adam C. Powell, IV},
7244  title		= {Illuminator Distributed Visualization Library},
7245  url		= {http://lyre.mit.edu/\~{ }powell/Illuminator.html},
7246  petsc_uses	= {KSP}
7247}
7248
7249@Unpublished{	  rheoplast,
7250  title		= {RheoPlast Phase Field Multi-Physics Code},
7251  author	= {Adam Powell and David Dussault and Bo Zhou},
7252  url		= {http://lyre.mit.edu/\~{ }powell/rheoplast.html},
7253  petsc_uses	= {KSP}
7254}
7255
7256@Misc{		  tao-web-page,
7257  title		= {{Toolkit for Advanced Optimization (TAO)} {W}eb Page},
7258  author	= {Alp Dener and Adam Denchfield and Todd Munson and Jason Sarich and Stefan Wild
7259		  and Steve Benson and Lois Curfman McInnes and Jorge Mor{\'e}},
7260  institution	= {Mathematics and Computer Science Division, Argonne National Laboratory},
7261  howpublished	= {\url{http://www.mcs.anl.gov/tao}},
7262  petsc_uses	= {KSP}
7263}
7264
7265@TechReport{	  tao-user-ref,
7266  title		= {{Toolkit for Advanced Optimization (TAO) users manual}},
7267  author	= {Alp Dener and Adam Denchfield and Todd Munson and Jason Sarich and Stefan Wild
7268		  and Steve Benson and Lois Curfman McInnes},
7269  institution	= {Argonne National Laboratory},
7270  year		= {2019},
7271  number	= {ANL/MCS-TM-322 - Rev 3.12},
7272  petsc_uses	= {KSP}
7273}
7274
7275%  url    = "http://www.mcs.anl.gov/tao",
7276@Unpublished{	  mefpp-web-page,
7277  title		= {{MEF++} {W}eb {P}age},
7278  url		= {http://www.giref.ulaval.ca/ressources/projets/mefpp.html},
7279  institution	= {Groupe Interdisiplinaire de Recherche en Elements Finis},
7280  author	= {Eric Chamberland},
7281  note		= {A finite element code for fluid dynamics, solid mechanics, thermal and
7282		  multiphysics},
7283  petsc_uses	= {KSP}
7284}
7285
7286@Unpublished{	  tipetsc-web-page,
7287  title		= {Ti-PETSc - an interface to PETSc from Titanium},
7288  institution	= {Berkeley},
7289  url		= {http://www.nersc.gov/\~{ }yunhe/cs267/final/paper.pdf},
7290  petsc_uses	= {KSP}
7291}
7292
7293@Unpublished{	  ptatin-web-page,
7294  title		= {ptatin3d},
7295  author	= {Jed Brown and Laetitia {Le Pourhiet} and Dave A. May and Patrick Sanan},
7296  url		= {https://bitbucket.org/jedbrown/ptatin3d},
7297  year		= {2018},
7298  petsc_uses	= {KSP}
7299}
7300
7301@Misc{		  multiphase-web-page,
7302  author	= {Q. Zou},
7303  title		= {Multiphase flow with {PETSc}},
7304  institution	= {LANL},
7305  howpublished	= {\url{http://cnls-www.lanl.gov/~qzou}},
7306  url		= {http://cnls-www.lanl.gov/\~{ }qzou},
7307  lab		= {LANL},
7308  petsc_uses	= {KSP}
7309}
7310
7311@Misc{		  electromag-web-page,
7312  title		= {{EMSolve Web} page},
7313  institution	= {LLNL},
7314  howpublished	= {http://www.llnl.gov/casc/emsolve},
7315  url		= {http://www.Llnl.gov/casc/emsolve},
7316  author	= {Daniel {White et al.}},
7317  lab		= {LLNL},
7318  petsc_uses	= {KSP}
7319}
7320
7321@Unpublished{	  fe-software-web-page,
7322  institution	= {Kuleuven},
7323  title		= {Finite element software},
7324  url		= {http://www.esat.kuleuven.ac.be/elen/research/software-development},
7325  petsc_uses	= {KSP}
7326}
7327
7328@Misc{		  petsc-web-page,
7329  author	= {Satish Balay and Shrirang Abhyankar and Mark~F. Adams and Steven Benson and Jed
7330		  Brown and Peter Brune and Kris Buschelman and Emil~M. Constantinescu and Lisandro
7331		  Dalcin and Alp Dener and Victor Eijkhout and Jacob Faibussowitsch and William~D.
7332		  Gropp and V\'{a}clav Hapla and Tobin Isaac and Pierre Jolivet and Dmitry Karpeev
7333		  and Dinesh Kaushik and Matthew~G. Knepley and Fande Kong and Scott Kruger and
7334		  Dave~A. May and Lois Curfman McInnes and Richard Tran Mills and Lawrence Mitchell
7335		  and Todd Munson and Jose~E. Roman and Karl Rupp and Patrick Sanan and Jason Sarich
7336		  and Barry~F. Smith and Stefano Zampini and Hong Zhang and Hong Zhang and Junchao
7337		  Zhang},
7338  title		= {{PETS}c {W}eb page},
7339  url		= {https://petsc.org/},
7340  howpublished	= {\url{https://petsc.org/}},
7341  year		= {2023}
7342}
7343
7344@Unpublished{	  petsc-debian-package,
7345  author	= {Adam C. Powell, IV},
7346  title		= {Debian package for PETSc},
7347  url		= {http://lyre.mit.edu/\~{ }powell/petsc.html},
7348  petsc_uses	= {KSP}
7349}
7350
7351@Unpublished{	  cactus,
7352  title		= {Cactus Website},
7353  url		= {http://www.cactuscode.org/},
7354  note		= {Provides two interface to the PETSc solvers},
7355  petsc_uses	= {KSP}
7356}
7357
7358@Unpublished{	  petsc-fem,
7359  author	= {Mario Storti and Norberto Nigro},
7360  title		= {PETSc-FEM: A General Purpose, Parallel, Multi-Physics FEM Program},
7361  institution	= {Centro Internacional de Metodos Computacionales en Ingenieria (CIMEC)},
7362  url		= {http://www.cimec.org.ar/petscfem},
7363  petsc_uses	= {KSP}
7364}
7365
7366@Misc{		  fidap,
7367  title		= {FIDAP 8.5},
7368  howpublished	= {\url{http://www.fluent.com}},
7369  url		= {http://www.fluent.com},
7370  note		= {Fluent's commercial finite element fluid code uses PETSc for parallel linear
7371		  solves.},
7372  key		= {FIDAP 8.5},
7373  petsc_uses	= {KSP}
7374}
7375
7376@Unpublished{	  slepc,
7377  author	= {Carmen Campos and Jos\'e E. Rom\'an and Eloy Romero and Andr\'es Tom\'as and
7378		  Vicente Hern\'andez and Vicent Vidal},
7379  title		= {{SLEPc} Website},
7380  url		= {http://slepc.upv.es/},
7381  note		= {Scalable Library for Eigenvalue Problem Computations},
7382  petsc_uses	= {KSP}
7383}
7384
7385@TechReport{	  slepc-users-manual,
7386  author	= {Carmen Campos and Jos\'e E. Rom\'an and Eloy Romero and Andr\'es Tom\'as and
7387		  Vicente Hern\'andez and Vicent Vidal},
7388  title		= {{SLEPc} Users Manual},
7389  number	= {DISC-II/24/02},
7390  url		= {http://slepc.upv.es/},
7391  note		= {Scalable Library for Eigenvalue Problem Computations},
7392  petsc_uses	= {KSP}
7393}
7394
7395@Misc{		  deal.ii,
7396  title		= {deal.II},
7397  howpublished	= {\url{http://www.dealii.org}},
7398  url		= {http://www.dealii.org},
7399  note		= {deal.II is a C++ library targeting adaptive finite elements and error estimation.
7400		  It allows PETSc linear algebra and solvers to be used underneath.},
7401  key		= {deal.II 5.0},
7402  petsc_uses	= {KSP}
7403}
7404
7405@Article{	  bangerth2007deal,
7406  title		= {{deal.II---A general-purpose object-oriented finite element library}},
7407  author	= {Bangerth, W. and Hartmann, R. and Kanschat, G.},
7408  journal	= {ACM Transactions on Mathematical Software (TOMS)},
7409  volume	= {33},
7410  number	= {4},
7411  pages		= {24--es},
7412  issn		= {0098-3500},
7413  year		= {2007},
7414  publisher	= {ACM},
7415  petsc_uses	= {KSP}
7416}
7417
7418@Misc{		  globalarrays,
7419  author	= {Jarek {Nieplocha et al.}},
7420  title		= {Global Arrays},
7421  institution	= {Pacific Northwest National Laboratories},
7422  howpublished	= {\url{http://www.emsl.pnl.gov/docs/global}},
7423  url		= {http://www.emsl.pnl.gov/docs/global},
7424  note		= {Global arrays can use PETSc linear solvers},
7425  lab		= {PNNL},
7426  petsc_uses	= {KSP}
7427}
7428
7429% LiteralHTML:
7430% LiteralHTML:  <a name="software"><H3><center>Software Engineering</center></H3>
7431% LiteralHTML:
7432@Article{	  petsccommunity2022,
7433  title		= {The Community is the Infrastructure: A Short Discussion of the {PETSc} User
7434		  Community},
7435  author	= {Mark Adams and Satish Balay and Jed Brown and Victor Eijkhout and Jacob
7436		  Faibussowitsch and Fande Kong and Matthew Knepley and Scott Kruger and Oana Marin
7437		  and Richard Mills and Todd Munson and Patrick Sanan and Barry Smith and Hong Zhang
7438		  and Hong Zhang and Junchao Zhang},
7439  journal	= {Computing in Science and Engineering},
7440  volume	= {24},
7441  number	= {03},
7442  pages		= {6--15},
7443  issn		= {1558-366X},
7444  doi		= {10.1109/MCSE.2022.3169974},
7445  publisher	= {IEEE Computer Society},
7446  address	= {Los Alamitos, CA, USA},
7447  month		= {may},
7448  year		= {2022},
7449  url		= {https://figshare.com/articles/conference_contribution/The_Community_is_the_Infrastructure_A_Short_Discussion_of_the_PETSc_User_Community/16523043},
7450  petsc_uses	= {KSP}
7451}
7452
7453@Article{	  brownknepleysmith14,
7454  author	= {Jed Brown and Matthew G. Knepley and Barry Smith},
7455  title		= {Run-time extensibility and librarization of simulation software},
7456  journal	= {IEEE Computing in Science and Engineering},
7457  month		= {Jan},
7458  volume	= {17},
7459  number	= {1},
7460  pages		= {38--45},
7461  doi		= {10.1109/MCSE.2014.95},
7462  year		= {2015},
7463  petsc_uses	= {KSP}
7464}
7465
7466@TechReport{	  ass2012,
7467  author	= {Shrirang Abhyankar and Barry Smith and Kerry Stevens},
7468  title		= {Preliminary implementation of Hybrid {MPI}/pthread programming model in {PETSc}},
7469  institution	= {Argonne National Laboratory},
7470  type		= {Preprint},
7471  year		= {2012},
7472  number	= {ANL/MCS-P2011-0112},
7473  petsc_uses	= {KSP}
7474}
7475
7476@TechReport{	  clearyknepley99,
7477  author	= {Andrew Cleary and Matthew G. Knepley},
7478  title		= {Solvers as Operators},
7479  institution	= {Lawrence Livermore National Laboratory},
7480  type		= {Technical Report},
7481  number	= {UCRL-ID-135342},
7482  year		= {1999},
7483  petsc_uses	= {KSP}
7484}
7485
7486@TechReport{	  smcabbkz2012,
7487  author	= {Barry Smith and Lois Curfman McInnes and Emil Constantinescu and Mark Adams and
7488		  Satish Balay and Jed Brown and Matthew Knepley and Hong Zhang},
7489  title		= {{PETSc's} software strategy for the design space of composable extreme-scale
7490		  solvers},
7491  institution	= {Argonne National Laboratory},
7492  type		= {Preprint},
7493  note		= {{DOE} Exascale Research Conference, April 16-18, 2012, Portland, OR},
7494  year		= {2012},
7495  number	= {ANL/MCS-P2059-0312},
7496  petsc_uses	= {KSP}
7497}
7498
7499@InProceedings{	  mhwpmhs2009,
7500  author	= {R. T. Mills and F. M. Hoffman and P. H. Worley and K. S. Pwerumalla and A. Mirin
7501		  and G. E. Hammond and B. Smith},
7502  title		= {Coping at the User-Level with Resource Limitations in the {Cray} Message Passing
7503		  Toolkit {MPI} at Scale},
7504  booktitle	= {Cray Users Group Conference},
7505  year		= {2009},
7506  petsc_uses	= {KSP}
7507}
7508
7509@InProceedings{	  msmhls2010,
7510  author	= {R. T. Mills and V. Sripathi and G. Mahinthakumar and G. Hammond and P. C.
7511		  Lichtner and B. F. Smith},
7512  title		= {Engineering {PFLOTRAN} for Scalable Performance on {Cray} {XT} and {IBM}
7513		  {BlueGene} Architectures},
7514  booktitle	= {Proceedings of SciDAC 2010 Annual Meeting},
7515  year		= {2010},
7516  petsc_uses	= {KSP}
7517}
7518
7519@InCollection{	  msk2013,
7520  author	= {Victor Minden and Barry F. Smith and Matthew G. Knepley},
7521  title		= {Preliminary Implementation of {PETSc} Using {GPUs}},
7522  booktitle	= {GPU Solutions to Multi-scale Problems in Science and Engineering},
7523  series	= {Lecture Notes in Earth System Sciences},
7524  editor	= {David A. Yuen and Long Wang and Xuebin Chi and Lennart Johnsson and Wei Ge and
7525		  Yaolin Shi},
7526  doi		= {10.1007/978-3-642-16405-7_7},
7527  publisher	= {Springer Berlin Heidelberg},
7528  pages		= {131--140},
7529  year		= {2013},
7530  isbn		= {978-3-642-16404-0},
7531  petsc_uses	= {KSP}
7532}
7533
7534@InCollection{	  knepleyyuen13,
7535  author	= {Matthew G. Knepley and David A. Yuen},
7536  title		= {Why Scientists and Engineers need {GPU}s today},
7537  booktitle	= {GPU Solutions to Multi-scale Problems in Science and Engineering},
7538  series	= {Lecture Notes in Earth System Sciences},
7539  editor	= {David A. Yuen and Long Wang and Xuebin Chi and Lennart Johnsson and Wei Ge and
7540		  Yaolin Shi},
7541  doi		= {10.1007/978-3-642-16405-7_1},
7542  publisher	= {Springer Berlin Heidelberg},
7543  pages		= {131--140},
7544  year		= {2013},
7545  isbn		= {978-3-642-16404-0},
7546  petsc_uses	= {KSP}
7547}
7548
7549@InCollection{	  karpeevknepleybrune13,
7550  author	= {Dmitry A. Karpeev and Matthew G. Knepley and Peter R. Brune},
7551  title		= {Accurate Evaluation of Local Averages on {GPGPUs}},
7552  booktitle	= {GPU Solutions to Multi-scale Problems in Science and Engineering},
7553  series	= {Lecture Notes in Earth System Sciences},
7554  editor	= {David A. Yuen and Long Wang and Xuebin Chi and Lennart Johnsson and Wei Ge and
7555		  Yaolin Shi},
7556  doi		= {10.1007/978-3-642-16405-7_30},
7557  publisher	= {Springer Berlin Heidelberg},
7558  pages		= {487--501},
7559  year		= {2013},
7560  isbn		= {978-3-642-16404-0},
7561  petsc_uses	= {KSP}
7562}
7563
7564@InCollection{	  zhengetal13,
7565  title		= {{GPU} Implementation of Multigrid Solver for {S}tokes Equation with Strongly
7566		  Variable Viscosity},
7567  author	= {Liang Zheng and Taras Gerya and Matthew G. Knepley and David A. Yuen and Huai
7568		  Zhang and Yaolin Shi},
7569  booktitle	= {GPU Solutions to Multi-scale Problems in Science and Engineering},
7570  series	= {Lecture Notes in Earth System Sciences},
7571  editor	= {David A. Yuen and Long Wang and Xuebin Chi and Lennart Johnsson and Wei Ge and
7572		  Yaolin Shi},
7573  doi		= {10.1007/978-3-642-16405-7_21},
7574  publisher	= {Springer Berlin Heidelberg},
7575  pages		= {321--333},
7576  year		= {2013},
7577  isbn		= {978-3-642-16404-0},
7578  petsc_uses	= {KSP}
7579}
7580
7581@Article{	  zhengetal13b,
7582  title		= {Implementation of a multigrid solver on {GPU} for {S}tokes equations with
7583		  strongly variable viscosity based on {M}atlab and {CUDA}},
7584  author	= {Liang Zheng and Taras Gerya and Matthew G. Knepley and David A. Yuen and Huai
7585		  Zhang and Yaolin Shi},
7586  journal	= {IJHPCA},
7587  volume	= {28},
7588  number	= {1},
7589  pages		= {50--60},
7590  doi		= {10.1177/1094342013478640},
7591  year		= {2013},
7592  petsc_uses	= {KSP}
7593}
7594
7595@InBook{	  s2011,
7596  author	= {B. Smith},
7597  chapter	= {PETSc, the Portable, Extensible Toolkit for Scientific computing},
7598  title		= {Encyclopedia of Parallel Computing},
7599  bookeditor	= {D. Padua},
7600  publisher	= {Springer},
7601  year		= {2011},
7602  petsc_uses	= {KSP}
7603}
7604
7605@Article{	  acostamejia06,
7606  author	= {Carlos D. Acosta and Carlos E. Mej\'ia},
7607  title		= {Computaci\'on cient\'ifica en paralelo con interfaz MATLAB a PETSc},
7608  journal	= {Lecturas Matem\'aticas},
7609  volume	= {27},
7610  year		= {2006},
7611  pages		= {213--224},
7612  petsc_uses	= {KSP}
7613}
7614
7615@InProceedings{	  quenettemoresisunterappelbe07,
7616  author	= {Steve Quenette and Louis Moresi and {P. D.} Sunter and Bill F. Appelbe},
7617  title		= {Explaining StGermain: An aspect oriented environment for building extensible
7618		  computational mechanics modeling software},
7619  booktitle	= {Parallel and Distributed Processing Symposium, IPDPS 2007},
7620  publisher	= {IEEE},
7621  pages		= {1--8},
7622  yerar		= {2007},
7623  petsc_uses	= {KSP}
7624}
7625
7626@Article{	  dfm1,
7627  title		= {Vectorized sparse matrix multiply for compressed row storage format},
7628  author	= {E. F. D'Azevedo and M. R. Fahey and R. T. Mills},
7629  journal	= {Lecture Notes in Computer Science},
7630  year		= {2005},
7631  pages		= {99--106},
7632  volume	= {3514},
7633  lab		= {ORNL},
7634  petsc_uses	= {KSP}
7635}
7636
7637@InProceedings{	  laniquintinokimpedeconinckvandewallepoedts05,
7638  author	= {Andrea Lani and Tiago Quintino and Dries Kimpe and Herman Deconinck and Stefan
7639		  Vandewalle and Stefaan Poedts},
7640  title		= {The COOLFluiD Framework: Design Solutions for High Performance Object Oriented
7641		  Scientific Computing Software},
7642  booktitle	= {Computational Science ICCS 2005: 5th International Conference},
7643  year		= {2005},
7644  note		= {Lecture Notes in Computer Science},
7645  volume	= {3514},
7646  publisher	= {Springer-Verlag GmbH},
7647  petsc_uses	= {KSP}
7648}
7649
7650@InProceedings{	  dalcin-paz-storti,
7651  author	= {L. Dalcin and R. Paz and M. Storti},
7652  title		= {Desarrollo de Aplicaciones Paralelas en Python},
7653  booktitle	= {Proceedings of *XIV Congress on Numerical Methods and its Applications (ENIEF).
7654		  Bariloche, Argentina},
7655  year		= {2004},
7656  petsc_uses	= {KSP}
7657}
7658
7659@Article{	  mpi-python,
7660  author	= {L. Dalcin and R. Paz and M. Storti},
7661  title		= {MPI for Python},
7662  journal	= {Journal of Parallel and Distributed Computing},
7663  year		= {2005},
7664  petsc_uses	= {KSP}
7665}
7666
7667@Unpublished{	  hrv02a,
7668  title		= {{SLEPc}: Scalable Library for Eigenvalue Problem Computations},
7669  author	= {V. Hernandex and J. E. Roman and V. Vidal},
7670  note		= {Submited to VecPar 2002},
7671  year		= {2002},
7672  petsc_uses	= {KSP}
7673}
7674
7675@Article{	  knyazev2007block,
7676  title		= {Block Locally Optimal Preconditioned Eigenvalue Xolvers {(BLOPEX)} in {Hypre} and
7677		  {PETSc}},
7678  author	= {Knyazev, A. V. and Argentati, M. E. and Lashuk, I. and Ovtchinnikov, E. E.},
7679  journal	= {SIAM Journal on Scientific Computing},
7680  volume	= {29},
7681  pages		= {2224-2239},
7682  doi		= {10.1137/060661624},
7683  year		= {2007},
7684  petsc_uses	= {KSP}
7685}
7686
7687@MastersThesis{	  aarrestad-master,
7688  author	= {Asbjorn Hoiland Aarrestad},
7689  title		= {Time Dependent Solution of the Schrodinger Equation for Parallel Computers},
7690  school	= {University of Bergen},
7691  month		= {August},
7692  year		= {2003},
7693  url		= {http://www.parallab.uib.no/projects/molecul/matrix/},
7694  note		= {Implemented Runge-Kutta methods using PETSc},
7695  petsc_uses	= {KSP}
7696}
7697
7698@PhDThesis{	  kaushik-phd,
7699  author	= {D. K. Kaushik},
7700  title		= {Performance Modeling and Prediction for the Scalable Solution of Partial
7701		  Differential Equations on Unstructured Grids},
7702  school	= {Old Dominion University},
7703  month		= {December},
7704  year		= {2002},
7705  url		= {http://www.mcs.anl.gov/\~{ }kaushik/Papers/thesis.ps},
7706  petsc_uses	= {KSP}
7707}
7708
7709@TechReport{	  rb1,
7710  author	= {Rickard Bergstrom},
7711  title		= {Object Oriented Implementation of a General Finite Element Code},
7712  number	= {2002-13},
7713  institution	= {Chalmers Finite Element Center, Chalmers University of Technology},
7714  year		= {2002},
7715  url		= {http://www.phi.chalmers.se/pub/preprints/pdf/phiprint-2002-13.pdf},
7716  note		= {Discribes a finite element software package that uses PETSc for its solvers},
7717  petsc_uses	= {KSP}
7718}
7719
7720@InProceedings{	  dbl1,
7721  author	= {Enzo A. Dari and Gustavo C. Buscaglia and Adrian J. Lew},
7722  title		= {A Parallel General Purpose Finite Element System},
7723  booktitle	= {IX SIAM Conference on Parallel Processing for Scientific Computing},
7724  publisher	= {SIAM},
7725  year		= {1999},
7726  url		= {http://cabmec1.cnea.gov.ar/papers/apgpfes.ps.gz},
7727  note		= {Describes software that uses PETSc for its parallel linear solves},
7728  petsc_uses	= {KSP}
7729}
7730
7731@Article{	  p1,
7732  title		= {Parallel Components for PDEs and Optimization: Some Issues and Experiences},
7733  author	= {B. Norris and S. Balay and S. Benson and L. Freitag and P. Hovland and L. McInnes
7734		  and B. Smith},
7735  journal	= {Parallel Computing},
7736  year		= {2002},
7737  pages		= {1811--1831},
7738  volume	= {28 (12)},
7739  petsc_uses	= {KSP}
7740}
7741
7742@Article{	  automatic-ad,
7743  author	= {Paul Hovland and Boyana Norris and Barry Smith},
7744  title		= {Making Automatic Differentiation Truly Automatic: Coupling {PETSc} with {ADIC}},
7745  year		= {2005},
7746  journal	= {Future Generation Computer Systems},
7747  volume	= {21},
7748  number	= {8},
7749  pages		= {1426--1438},
7750  petsc_uses	= {KSP}
7751}
7752
7753@TechReport{	  remote-math,
7754  author	= {Elizabeth Dolan and Paul Hovland and Jorge Mor\'e and Boyana Norris and Barry
7755		  Smith},
7756  title		= {Remote Access to Mathematical Software},
7757  number	= {ANL/MCS-P889-0601},
7758  institution	= {Mathematics and Computer Science Division, Argonne National Laboratory},
7759  month		= {June},
7760  year		= {2001},
7761  url		= {http://icm.mcs.kent.edu/research/iamc01proceedings.html},
7762  petsc_uses	= {KSP}
7763}
7764
7765@InProceedings{	  gropp98,
7766  author	= {William D. Gropp},
7767  title		= {Exploiting Existing Software in Libraries: Successes, Failures, and Reasons Why},
7768  publisher	= {SIAM},
7769  booktitle	= {Proceedings of the SIAM Workshop on Object Oriented Methods for Inter-operable
7770		  Scientific and Engineering Computing},
7771  year		= {1999},
7772  pages		= {21-29},
7773  petsc_uses	= {KSP}
7774}
7775
7776@InProceedings{	  knepleysarin99,
7777  author	= {Matthew Knepley and Vivek Sarin},
7778  title		= {Algorithm Development for Large Scale Computing},
7779  publisher	= {SIAM},
7780  booktitle	= {Proceedings of the SIAM Workshop on Object Oriented Methods for Inter-operable
7781		  Scientific and Engineering Computing},
7782  note		= {\url{http://books.google.com/books?id=2Da5OcnjPSgC&lpg=PA58&ots=TJCK64BUeg&dq=Bill%20Gropp%20Science%20Engineering%20Object%20Oriented&pg=PA138#v=onepage&q&f=false}},
7783  year		= {1999},
7784  petsc_uses	= {KSP}
7785}
7786
7787@InBook{	  bgms00,
7788  author	= {S. Balay and W. D. Gropp and L. C. McInnes and B. F. Smith},
7789  chapter	= {Software for the Scalable Solution of {PDEs}},
7790  url		= {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P834.ps.Z},
7791  title		= {CRPC Handbook of Parallel Computing},
7792  editor	= {J. Dongarra and I. Foster and G. Fox and B. Gropp and K. Kennedy and L. Torczon
7793		  and A. White},
7794  publisher	= {Morgan Kaufmann Publishers},
7795  year		= {2002},
7796  petsc_uses	= {KSP}
7797}
7798
7799@InProceedings{	  hovland_norris_smith98,
7800  author	= {Paul Hovland and Boyana Norris and Lucas Roh and Barry Smith},
7801  title		= {Developing a Derivative-Enhanced Object-Oriented Toolkit for Scientific
7802		  Computations},
7803  publisher	= {SIAM},
7804  booktitle	= {Proceedings of the SIAM Workshop on Object Oriented Methods for Inter-operable
7805		  Scientific and Engineering Computing},
7806  url		= {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P731.ps.Z},
7807  note		= {also available as Argonne preprint ANL/MCS-P731-1098},
7808  year		= {1999},
7809  pages		= {129-137},
7810  petsc_uses	= {KSP}
7811}
7812
7813@InProceedings{	  efficient,
7814  author	= {Satish Balay and William D. Gropp and Lois Curfman McInnes and Barry F. Smith},
7815  title		= {Efficient Management of Parallelism in Object Oriented Numerical Software
7816		  Libraries},
7817  booktitle	= {Modern Software Tools in Scientific Computing},
7818  editor	= {E. Arge and A. M. Bruaset and H. P. Langtangen},
7819  publisher	= {Birkhauser Press},
7820  pages		= {163--202},
7821  year		= {1997},
7822  petsc_uses	= {KSP}
7823}
7824
7825%  url       = "ftp://info.mcs.anl.gov/pub/tech_reports/reports/P634.ps.Z"
7826@TechReport{	  petsc-user-ref,
7827  author	= {Satish Balay and Shrirang Abhyankar and Mark~F. Adams and Steven Benson and Jed
7828		  Brown and Peter Brune and Kris Buschelman and Emil Constantinescu and Lisandro
7829		  Dalcin and Alp Dener and Victor Eijkhout and Jacob Faibussowitsch and William~D.
7830		  Gropp and V\'{a}clav Hapla and Tobin Isaac and Pierre Jolivet and Dmitry Karpeev
7831		  and Dinesh Kaushik and Matthew~G. Knepley and Fande Kong and Scott Kruger and
7832		  Dave~A. May and Lois Curfman McInnes and Richard Tran Mills and Lawrence Mitchell
7833		  and Todd Munson and Jose~E. Roman and Karl Rupp and Patrick Sanan and Jason Sarich
7834		  and Barry~F. Smith and Stefano Zampini and Hong Zhang and Hong Zhang and Junchao
7835		  Zhang},
7836  title		= {{PETSc/TAO} Users Manual},
7837  institution	= {Argonne National Laboratory},
7838  number	= {ANL-21/39 - Revision 3.19},
7839  doi		= {10.2172/1968587},
7840  year		= {2023}
7841}
7842
7843%  url    = {https://petsc.org/release}
7844@TechReport{	  petsc-developers,
7845  author	= {Scott Kruger and Patrick Sanan and Barry~F. Smith},
7846  title		= {{PETS}c Developers Guide},
7847  institution	= {Argonne National Laboratory},
7848  number	= {ANL-18/18},
7849  year		= {2018},
7850  url		= {https://petsc.org/release/developers},
7851  petsc_uses	= {KSP}
7852}
7853
7854@Unpublished{	  alice-memory-snooper,
7855  author	= {Ibrahima Ba and Barry~F. Smith},
7856  title		= {The {ALICE} Memory Snooper},
7857  year		= {1999},
7858  petsc_uses	= {KSP}
7859}
7860
7861@TechReport{	  petsc-user-ref-polish,
7862  author	= {Marcin Bojko and Piotr Krzyzanowski},
7863  title		= {Rozwiazywanie ukladow rownan przy pomocy pakietu PETSc},
7864  institution	= {Instytut Matematyki, Stosowanej i Mechaniki, Uniwersytet Warszawski},
7865  year		= {1998},
7866  note		= {An introduction to PETSc in Polish},
7867  petsc_uses	= {KSP}
7868}
7869
7870@InProceedings{	  abghmn00,
7871  title		= {Integrating Automatic Differentiation with Object-Oriented Toolkits for
7872		  High-Performance Scientific Computing},
7873  author	= {J. Abate and S. Benson and L. Grignon and P. Hovland and L. C. McInnes and B.
7874		  Norris},
7875  url		= {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P820.ps.Z},
7876  booktitle	= {Automatic Differentiation of Algorithms: From Simulation to Optimization},
7877  editor	= {George Corliss and Christ\`{e}le Faure and Andreas Griewank and Laurent
7878		  Hasco\"{e}t and Uwe Naumann},
7879  publisher	= {Springer},
7880  year		= {2002},
7881  petsc_uses	= {KSP}
7882}
7883
7884@Unpublished{	  petsc-mpi-paper,
7885  author	= {Lois Curfman McInnes and Barry F. Smith},
7886  title		= {{PETS}c 2.0: A Case Study of Using {MPI} to Develop Numerical Software
7887		  Libraries},
7888  note		= {Proceedings of the MPI Developers Conference, Notre Dame, IN},
7889  month		= June,
7890  year		= {1995},
7891  petsc_uses	= {KSP}
7892}
7893
7894@InProceedings{	  miss-paper,
7895  author	= {William D. Gropp and Barry F. Smith},
7896  title		= {Scalable, Extensible, and Portable Numerical Libraries},
7897  publisher	= {IEEE},
7898  year		= {1994},
7899  booktitle	= {Proceedings of the Scalable Parallel Libraries Conference},
7900  address	= {Mississippi State University},
7901  pages		= {87--93},
7902  keyword	= {numerical libraries, scientific computing, parallel computing},
7903  petsc_uses	= {KSP}
7904}
7905
7906@InProceedings{	  snes-paper,
7907  author	= {William D. Gropp and Lois Curfman McInnes and Barry F. Smith},
7908  title		= {Scalable Libraries for Solving Systems of Nonlinear Equations and Unconstrained
7909		  Minimization Problems},
7910  publisher	= {IEEE},
7911  year		= {1995},
7912  booktitle	= {Proceedings of the Scalable Parallel Libraries Conference},
7913  address	= {Mississippi State University},
7914  pages		= {60-67},
7915  keyword	= {nonlinear equations, optimization, superconductivity, parallel computing},
7916  petsc_uses	= {KSP}
7917}
7918
7919@Article{	  dsneutral,
7920  author	= {Barry F. Smith and William D. Gropp},
7921  title		= {The Design of Data-structure-neutral Libraries for the Iterative Solution of
7922		  Sparse Linear Systems},
7923  journal	= {Scientific Programming},
7924  volume	= {5},
7925  pages		= {329--336},
7926  key		= {GroppSmith96 ! KSP design},
7927  year		= {1996},
7928  petsc_uses	= {KSP}
7929}
7930
7931@InProceedings{	  bgms98,
7932  author	= {Satish Balay and William D. Gropp and Lois Curfman McInnes and Barry F. Smith},
7933  title		= {A Microkernel Design for Component-based Parallel Numerical Software Systems},
7934  booktitle	= {Proceedings of the SIAM Workshop on Object Oriented Methods for Inter-operable
7935		  Scientific and Engineering Computing},
7936  publisher	= {SIAM},
7937  pages		= {58-67},
7938  url		= {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P727.ps.Z},
7939  year		= {1998},
7940  petsc_uses	= {KSP}
7941}
7942
7943@Article{	  hkm98,
7944  author	= {M. E. Hayder and D. E. Keyes and P. Mehrotra},
7945  title		= {A Comparison of the {PETSc} Library and {HPF} Implementations of an Archetypal
7946		  {PDE} Computation},
7947  journal	= {Advances in Engineering Software},
7948  volume	= {29},
7949  pages		= {415-424},
7950  year		= {1998},
7951  petsc_uses	= {KSP}
7952}
7953
7954@TechReport{	  pdpta99,
7955  author	= {L. A. Freitag and W. D. Gropp and P. D. Hovland and L. C. McInnes and B. F.
7956		  Smith},
7957  title		= {Infrastructure and Interfaces for Large-Scale Numerical Software},
7958  note		= {to appear in the Proceedings of the 1999 International Conference on Parallel and
7959		  Distributed Processing Techniques and Applications, June 28 - July 1, 1999, Las
7960		  Vegas, Nevada},
7961  institution	= {Mathematics and Computer Science Division, Argonne National Laboratory},
7962  url		= {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P751.ps.Z},
7963  number	= {ANL/MCS-P751-0599},
7964  year		= {1999},
7965  petsc_uses	= {KSP}
7966}
7967
7968@InProceedings{	  bbh:com,
7969  author	= {C. H. Bischof and H. M. B{\"u}cker and P. D. Hovland},
7970  title		= {{On Combining Computational Differentiation and Toolkits for Parallel Scientific
7971		  Computing}},
7972  booktitle	= {Euro-Par 2000 -- Parallel Processing, Proceedings of the 6th International
7973		  Euro-Par Conference, Munich, Germany, August/September 2000},
7974  year		= {2000},
7975  editor	= {A. Bode and T. Ludwig and W. Karl and R. Wism{\"u}ller},
7976  volume	= {1900},
7977  series	= {Lecture Notes in Computer Science},
7978  pages		= {86--94},
7979  address	= {Berlin},
7980  publisher	= {Springer},
7981  url		= {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P797.ps.Z},
7982  petsc_uses	= {KSP}
7983}
7984
7985@InProceedings{	  overture00,
7986  author	= {K. R. Buschelman and W. D. Gropp and L. C. McInnes and B. F. Smith},
7987  title		= { {PETSc and Overture}: Lessons Learned Developing an Interface between
7988		  Components},
7989  url		= {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P858.ps.Z},
7990  booktitle	= {Proceedings of the International Federation for Information Processing Working
7991		  Conference on Software Architectures for Scientific Computing, Kluwer},
7992  year		= {2000},
7993  pages		= {57--68},
7994  petsc_uses	= {KSP}
7995}
7996
7997@TechReport{	  smith97,
7998  title		= {An Interface for Efficient Vector Scatters and Gathers on Parallel Machines},
7999  url		= {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P701.ps.Z},
8000  number	= {ANL/MCS-P701},
8001  author	= {Barry F. Smith},
8002  institution	= {Mathematics and Computer Science Division, Argonne National Laboratory},
8003  petsc_uses	= {KSP}
8004}
8005
8006@Article{	  smith98,
8007  author	= {Barry Smith},
8008  title		= {The Transition of Numerical Software: From Nuts-and-Bolts to Abstraction},
8009  journal	= {SIGNUM Newsletter},
8010  year		= {1998},
8011  url		= {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P712.ps.Z},
8012  petsc_uses	= {KSP}
8013}
8014
8015@TechReport{	  ad-petsc-tm,
8016  title		= {Using {ADIFOR} and {ADIC} to Provide a {J}acobian for the {SNES} Component of
8017		  {PETSc}},
8018  author	= {Christian Bischof and Paul Hovland and Po-Ting Wu},
8019  year		= {1997},
8020  type		= {Technical Memorandum},
8021  institution	= {ANL},
8022  url		= {ftp://info.mcs.anl.gov/pub/tech_reports/reports/TM233.ps.Z},
8023  number	= {ANL/MCS-TM-233},
8024  petsc_uses	= {KSP}
8025}
8026
8027% LiteralHTML:
8028% LiteralHTML:  <a name="algorithm"><H3><center>Algorithm design and analysis</center></H3>
8029% LiteralHTML:
8030@PhDThesis{	  klotzthesis2019,
8031  author	= {Thomas S. Klotz},
8032  title		= {Numerical Analysis of Nonlinear Boundary Integral Equations Arising in Molecular
8033		  Biology},
8034  school	= {Rice University},
8035  year		= {2019},
8036  petsc_uses	= {KSP}
8037}
8038
8039@Article{	  klotzbardhanknepley2018,
8040  title		= {Efficient Evaluation of Ellipsoidal Harmonics for Potential Modeling},
8041  author	= {Thomas S. Klotz and Jaydeep Bardhan and Matthew G. Knepley},
8042  journal	= {Communications in Applied Mathematics and Computational Science},
8043  note		= {In review},
8044  url		= {https://arxiv.org/abs/1708.06028},
8045  year		= {2018},
8046  petsc_uses	= {KSP}
8047}
8048
8049@Misc{		  brown2016,
8050  title		= {Threading Tradeoffs in Domain Decomposition},
8051  author	= {Jed Brown},
8052  note		= {SIAM Parallel Processing Conference, To Thread or Not To Thread Minisymposium,
8053		  \url{https://www.cse.buffalo.edu/~knepley/presentations/SIAMPP2016_1.pdf}},
8054  url		= {https://www.cse.buffalo.edu/~knepley/presentations/SIAMPP2016_1.pdf},
8055  year		= {2016},
8056  petsc_uses	= {KSP}
8057}
8058
8059@Article{	  changnakshatralaknepleyjohnsson2017,
8060  title		= {A performance spectrum for parallel computational frameworks that solve {PDEs}},
8061  author	= {Justin Chang and Kalyana B. Nakshatrala and Matthew G. Knepley and Lennart
8062		  Johnsson},
8063  journal	= {Concurency: Practice and Experience},
8064  volume	= {30},
8065  number	= {11},
8066  eprint	= {1705.03625},
8067  doi		= {10.1002/cpe.4401},
8068  year		= {2017},
8069  petsc_uses	= {KSP}
8070}
8071
8072@Article{	  changfabienknepleymills2018,
8073  title		= {Comparative study of finite element methods using the Time-Accuracy-Size {(TAS)}
8074		  spectrum analysis},
8075  author	= {Justin Chang and Maurice S. Fabien and Matthew G. Knepley and Richard T. Mills},
8076  journal	= {SIAM Journal on Scientific Computing},
8077  volume	= {40},
8078  number	= {6},
8079  pages		= {C779--C802},
8080  eprint	= {1802.07832},
8081  doi		= {10.1137/18M1172260},
8082  year		= {2018},
8083  petsc_uses	= {KSP}
8084}
8085
8086@Article{	  joshaghanichangnakshatralaknepley2019,
8087  title		= {Composable solvers for the four-field double porosity/permeability model},
8088  author	= {M. S. Joshaghani and Justin Chang and Kalyana B. Nakshatrala and Matthew G.
8089		  Knepley},
8090  journal	= {Journal of Computational Physics},
8091  volume	= {386},
8092  pages		= {428--466},
8093  doi		= {10.1016/j.jcp.2019.02.020},
8094  year		= {2019},
8095  petsc_uses	= {KSP}
8096}
8097
8098@InProceedings{	  barralknepleylangepiggottgorman2016,
8099  title		= {Anisotropic mesh adaptation in {Firedrake} with {PETSc} {DMPlex}},
8100  author	= {Nicolas Barral and Matthew G. Knepley and Michael Lange and Matthew D. Piggott
8101		  and Gerard J. Gorman},
8102  booktitle	= {25th International Meshing Roundtable},
8103  editor	= {Steve Owen and Hang Si},
8104  month		= {September},
8105  address	= {Washington, DC},
8106  pages		= {1--5},
8107  url		= {http://imr.sandia.gov/papers/imr25/2026_imr25RN_Barral.pdf},
8108  year		= {2016},
8109  petsc_uses	= {KSP}
8110}
8111
8112@Article{	  adamsbrownknepleysamtaney2016,
8113  title		= {Segmental Refinement: A Multigrid Technique for Data Locality},
8114  author	= {Mark F. Adams and Jed Brown and Matthew G. Knepley and Ravi Samtaney},
8115  journal	= {SIAM Journal on Scientific Computing},
8116  url		= {http://epubs.siam.org/toc/sjoce3/38/4 },
8117  epub		= {http://arxiv.org/abs/1406.7808},
8118  volume	= {8},
8119  number	= {4},
8120  pages		= {C426--C440},
8121  doi		= {10.1137/140975127},
8122  year		= {2016},
8123  petsc_uses	= {KSP}
8124}
8125
8126@InProceedings{	  maysananruppknepleysmith2016,
8127  title		= {Extreme-Scale Multigrid Components within {PETSc}},
8128  author	= {Dave A. May and Patrick Sanan and Karl Rupp and Matthew G. Knepley and Barry F.
8129		  Smith},
8130  booktitle	= {Proceedings of the {Platform for Advanced Scientific Computing Conference}},
8131  series	= {PASC '16},
8132  isbn		= {978-1-4503-4126-4},
8133  location	= {Lausanne, Switzerland},
8134  pages		= {5:1--5:12},
8135  articleno	= {5},
8136  numpages	= {12},
8137  doi		= {10.1145/2929908.2929913},
8138  acmid		= {2929913},
8139  publisher	= {ACM},
8140  address	= {New York, NY, USA},
8141  keywords	= {GPU, HPC, agglomeration, coarse-level solver, multigrid, parallel computing,
8142		  preconditioning},
8143  year		= {2016},
8144  petsc_uses	= {KSP}
8145}
8146
8147@Article{	  liu2015field,
8148  title		= {Field-Split Preconditioned Inexact Newton Algorithms},
8149  author	= {Lulu Liu and David E Keyes},
8150  journal	= {SIAM Journal on Scientific Computing},
8151  volume	= {37},
8152  number	= {3},
8153  pages		= {A1388--A1409},
8154  year		= {2015},
8155  publisher	= {SIAM},
8156  petsc_uses	= {KSP}
8157}
8158
8159@Article{	  lujiaomissirlis2014,
8160  title		= {A hybrid geometric+ algebraic multigrid method with semi-iterative smoothers},
8161  author	= {Cao Lu and Xiangmin Jiao and Nikolaos Missirlis},
8162  journal	= {Numerical Linear Algebra with Applications},
8163  volume	= {21},
8164  number	= {2},
8165  pages		= {221--238},
8166  year		= {2014},
8167  publisher	= {Wiley Online Library},
8168  petsc_uses	= {KSP}
8169}
8170
8171@Article{	  badiamartinprincipe2013,
8172  title		= {Enhanced balancing Neumann-Neumann preconditioning in computational fluid and
8173		  solid mechanics},
8174  author	= {Santiago Badia and Alberto F. Mart\'in and Javier Principe},
8175  journal	= {International Journal for Numerical Methods in Engineering},
8176  volume	= {96},
8177  number	= {4},
8178  pages		= {203--230},
8179  year		= {2013},
8180  petsc_uses	= {KSP}
8181}
8182
8183@Article{	  morganknepleysananscott2016,
8184  title		= {A Stochastic Performance Model for Pipelined {Krylov} Methods},
8185  author	= {Hannah Morgan and Matthew G. Knepley and Patrick Sanan and L. Ridgway Scott},
8186  journal	= {Concurrency and Computation: Practice and Experience},
8187  volume	= {28},
8188  pages		= {4532--4542},
8189  year		= {2016},
8190  url		= {http://arxiv.org/abs/1602.04873},
8191  doi		= {10.1002/cpe.3820},
8192  petsc_uses	= {KSP}
8193}
8194
8195@Article{	  morgansananknepleymills2020,
8196  title		= {Understanding performance variability in standard and pipelined parallel {Krylov}
8197		  solvers},
8198  author	= {Hannah Morgan and Patrick Sanan and Matthew G. Knepley and Richard Tran Mills},
8199  journal	= {The International Journal of High Performance Computing Applications},
8200  volume	= {35},
8201  issue		= {1},
8202  doi		= {10.1177/1094342020966835},
8203  url		= {https://doi.org/10.1177/1094342020966835},
8204  eprint	= {https://doi.org/10.1177/1094342020966835},
8205  year		= {2020},
8206  petsc_uses	= {KSP}
8207}
8208
8209@Article{	  msz2013,
8210  title		= {Efficient Sparse Matrix-Matrix Products Using Colorings},
8211  author	= {M. McCourt and B. F. Smith and H. Zhang},
8212  journal	= {SIAM Journal on Matrix Analysis and Applications},
8213  year		= {2015},
8214  note		= {To appear},
8215  petsc_uses	= {KSP}
8216}
8217
8218@Article{	  bassi2014agglomeration,
8219  title		= {Agglomeration-based physical frame d{G} discretizations: {A}n attempt to be mesh
8220		  free},
8221  author	= {Bassi, Francesco and Botti, Lorenzo and Colombo, Alessandro},
8222  journal	= {Mathematical Models and Methods in Applied Sciences},
8223  volume	= {24},
8224  number	= {08},
8225  pages		= {1495--1539},
8226  year		= {2014},
8227  publisher	= {World Scientific},
8228  petsc_uses	= {KSP}
8229}
8230
8231@Article{	  jhuranidemkowicz12,
8232  author	= {{Jhurani}, C. and {Demkowicz}, L.},
8233  title		= {{Multiscale modeling using goal-oriented adaptivity and numerical homogenization.
8234		  Part II: Algorithms for the Moore-Penrose pseudoinverse}},
8235  journal	= {Computer Methods in Applied Mechanics and Engineering},
8236  volume	= {213},
8237  pages		= {418-426},
8238  year		= {2012},
8239  month		= mar,
8240  doi		= {10.1016/j.cma.2011.06.003},
8241  adsurl	= {http://adsabs.harvard.edu/abs/2012CMAME.213..418J},
8242  petsc_uses	= {KSP}
8243}
8244
8245@Article{	  yangcai11,
8246  author	= {Yang, Haijian and Cai, Xiao-Chuan},
8247  title		= {Parallel Two-Grid Semismooth Newton-Krylov-Schwarz Method for Nonlinear
8248		  Complementarity Problems},
8249  journal	= {J. Sci. Comput.},
8250  issue_date	= {May 2011},
8251  volume	= {47},
8252  number	= {2},
8253  month		= may,
8254  pages		= {258--280},
8255  year		= {2011},
8256  issn		= {0885-7474},
8257  numpages	= {23},
8258  doi		= {10.1007/s10915-010-9436-4},
8259  acmid		= {1971246},
8260  publisher	= {Plenum Press},
8261  address	= {New York, NY, USA},
8262  keywords	= {Complementarity problem, Grid sequencing, Parallel computing, Schwarz
8263		  preconditioners, Semismooth Newton, Two-level methods},
8264  petsc_uses	= {KSP}
8265}
8266
8267@Article{	  rheinbach09,
8268  author	= {Rheinbach, Oliver},
8269  title		= {Parallel Iterative Substructuring in Structural Mechanics},
8270  journal	= {Archives of Computational Methods in Engineering},
8271  volume	= {16},
8272  number	= {4},
8273  pages		= {425-463},
8274  year		= {2009},
8275  issn		= {1134-3060},
8276  doi		= {10.1007/s11831-009-9035-4},
8277  publisher	= {Springer Netherlands},
8278  language	= {English},
8279  petsc_uses	= {KSP}
8280}
8281
8282@Article{	  knepleyterrel2013,
8283  author	= {Matthew G. Knepley and Andy R. Terrel},
8284  title		= {Finite Element Integration on {GPUs}},
8285  journal	= {{ACM} Transactions on Mathematical Software},
8286  volume	= {39},
8287  number	= {2},
8288  accepted	= {17 April 2012},
8289  year		= {2013},
8290  abstract	= {We present a novel finite element integration method for low order elements on
8291		  GPUs. We achieve more than 100GF for element integration on first order
8292		  discretizations of both the Laplacian and Elasticity operators on an NVIDIA
8293		  GTX285, which has a nominal single precision peak flop rate of 1 TF/s and
8294		  bandwidth of 159 GB/s, corresponding to a bandwidth limited peak of 40 GF/s.},
8295  url		= {http://arxiv.org/abs/1103.0066},
8296  note		= {no. 10, \url{http://arxiv.org/abs/1103.0066}},
8297  petsc_uses	= {KSP}
8298}
8299
8300@Article{	  knepleyruppterrel2016,
8301  title		= {Finite Element Integration with Quadrature on the GPU},
8302  journal	= {ArXiv e-prints},
8303  author	= {Matthew G. Knepley and Karl Rupp and Andy R. Terrel},
8304  version	= {1},
8305  date		= {2016-07-14},
8306  eprinttype	= {arxiv},
8307  eprintclass	= {cs.MS},
8308  eprint	= {1607.04245v1},
8309  petsc_uses	= {KSP}
8310}
8311
8312@Article{	  klawonnlanserrheinbach2014,
8313  title		= {Nonlinear {FETI-DP} and {BDDC} Methods},
8314  author	= {Axel Klawonn and Martin Lanser and Oliver Rheinbach},
8315  journal	= {SIAM Journal on Scientific Computing},
8316  volume	= {36},
8317  number	= {2},
8318  pages		= {A737--A765},
8319  year		= {2014},
8320  petsc_uses	= {KSP}
8321}
8322
8323@TechReport{	  pbmkbsxt2012,
8324  title		= {Composing Scalable Nonlinear Algebraic Solvers},
8325  author	= {Peter R. Brune and Matthew G. Knepley and Barry F. Smith and Xuemin Tu},
8326  year		= {2013},
8327  type		= {Preprint},
8328  number	= {ANL/MCS-P2010-0112},
8329  institution	= {Argonne National Laboratory},
8330  petsc_uses	= {KSP}
8331}
8332
8333@Article{	  bruneknepleysmithtu15,
8334  title		= {Composing Scalable Nonlinear Algebraic Solvers},
8335  author	= {Peter R. Brune and Matthew G. Knepley and Barry F. Smith and Xuemin Tu},
8336  journal	= {SIAM Review},
8337  volume	= {57},
8338  number	= {4},
8339  pages		= {535--565},
8340  note		= {\url{http://www.mcs.anl.gov/papers/P2010-0112.pdf}},
8341  url		= {http://www.mcs.anl.gov/papers/P2010-0112.pdf},
8342  doi		= {10.1137/130936725},
8343  year		= {2015},
8344  petsc_uses	= {KSP}
8345}
8346
8347@Article{	  mszm2014,
8348  title		= {Hierarchical {Krylov} and nested {Krylov} methods for extreme-scale computing},
8349  author	= {Lois Curfman McInnes and Barry Smith and Hong Zhang and Richard Tran Mills},
8350  volume	= {40},
8351  pages		= {17--31},
8352  year		= {2014},
8353  journal	= {Parallel Computing},
8354  doi		= {10.1016/j.parco.2013.10.001},
8355  petsc_uses	= {KSP}
8356}
8357
8358@TechReport{	  mszm2012,
8359  title		= {Hierarchical {Krylov} and Nested {Krylov} Methods for Extreme-Scale Computing},
8360  author	= {Lois Curfman McInnes and Barry Smith and Hong Zhang and Richard Tran Mills},
8361  year		= {2012},
8362  number	= {ANL/MCS-P2097-0512},
8363  institution	= {Argonne National Laboratory},
8364  petsc_uses	= {KSP}
8365}
8366
8367@InProceedings{	  bkmms2012,
8368  author	= {Jed Brown and Matthew G. Knepley and David A. May and Lois C. McInnes and Barry
8369		  F. Smith},
8370  title		= {Composable linear solvers for multiphysics},
8371  booktitle	= {Proceeedings of the 11th {International Symposium on Parallel and Distributed
8372		  Computing} ({ISPDC} 2012)},
8373  year		= {2012},
8374  doi		= {10.1109/ISPDC.2012.16},
8375  publisher	= {IEEE Computer Society},
8376  pages		= {55--62},
8377  petsc_uses	= {KSP}
8378}
8379
8380@Article{	  bourdinbucuroudet2009,
8381  author	= {Blaise Bourdin and D. Bucur and E. Oudet},
8382  title		= {Optimal Partitions for Eigenvalues},
8383  journal	= {SIAM J. Sci. Comput.},
8384  volume	= {31},
8385  number	= {6},
8386  pages		= {4100--4114},
8387  year		= {2009},
8388  petsc_uses	= {KSP}
8389}
8390
8391@InBook{	  kimnbourdin2007,
8392  author	= {J.-H. Kimn and Blaise Bourdin},
8393  title		= {Numerical implementation of overlapping balancing domain decomposition methods on
8394		  unstructured meshes},
8395  editor	= {O. B. Widlund and D. E. Keyes},
8396  booktitle	= {Domain Decomposition Methods in Science and Engineering XVI},
8397  series	= {Lecture Notes in Computational Science and Engineering},
8398  number	= {55},
8399  publisher	= {Springer-Verlag},
8400  pages		= {309--315},
8401  url		= {http://www.cims.nyu.edu/dd16/proceedings/kimn_bourdin_mini_6.pdf},
8402  year		= {2007},
8403  petsc_uses	= {KSP}
8404}
8405
8406@Article{	  bjm2005,
8407  author	= {AH Baker and ER Jessup and T Manteuffel},
8408  title		= {A Technique for Accelerating the Convergence of Restarted GMRES},
8409  journal	= {SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS},
8410  year		= {2005},
8411  petsc_uses	= {KSP}
8412}
8413
8414@Unpublished{	  sundar-2008a,
8415  author	= {R.S. Sampath and G. Biros},
8416  title		= {A parallel geometric multigrid method for finite elements on octree meshes},
8417  url		= {http://www.seas.upenn.edu/\~{ }rahulss},
8418  petsc_uses	= {KSP}
8419}
8420
8421@Article{	  sundar-2008,
8422  author	= {H. Sundar and R.S. Sampath and G. Biros},
8423  title		= {Bottom-up construction and 2:1 balance refinement of linear octrees in parallel},
8424  journal	= {SIAM Journal on Scientific Computing},
8425  year		= {2008},
8426  url		= {http://www.seas.upenn.edu/\~{ }rahulss},
8427  petsc_uses	= {KSP}
8428}
8429
8430@InProceedings{	  sundar-2007,
8431  author	= {H. Sundar and R.S. Sampath and S.S. Adavani and C. Davatzikos and G. Biros},
8432  title		= {Low-constant parallel algorithms for finite element simulations using linear
8433		  octrees},
8434  booktitle	= {SC'07: ACM/IEEE Conference on Supercomputing},
8435  year		= {2007},
8436  url		= {http://www.seas.upenn.edu/\~{ }rahulss},
8437  petsc_uses	= {KSP}
8438}
8439
8440@InProceedings{	  adams-98a,
8441  author	= {Adams, Mark ~F.},
8442  title		= {A Parallel Maximal Independent Set Algorithm},
8443  booktitle	= {Proceedings 5th copper mountain conference on iterative methods},
8444  year		= {1998},
8445  petsc_uses	= {KSP}
8446}
8447
8448@Article{	  akcelik2005ddd,
8449  title		= {{Dynamic data-driven inversion for terascale simulations: real-time
8450		  identification of airborne contaminants}},
8451  author	= {Ak\c{c}elik, V. and Biros, G. and Draganescu, A. and Hill, J. and Ghattas, O. and
8452		  van Bloemen Waanders, B.},
8453  journal	= {Proceedings of the 2005 ACM/IEEE conference on Supercomputing},
8454  year		= {2005},
8455  publisher	= {IEEE Computer Society Washington, DC, USA},
8456  petsc_uses	= {KSP}
8457}
8458
8459@InBook{	  akcelik-2006,
8460  author	= {V. Akcelik and G. Biros and Omar Ghattas and J. Hill and David Keyes and B. van
8461		  Bloemen Waanders},
8462  bookeditor	= {M. Heroux and P. Raghaven and H. Simon},
8463  title		= {Frontiers of Parallel Computing},
8464  chapter	= {Parallel algorithms for {PDE}-constrained optimization},
8465  publisher	= {SIAM},
8466  year		= {2006},
8467  petsc_uses	= {KSP}
8468}
8469
8470@Article{	  dt,
8471  author	= {Matthew F. Dixon and C. J. Kenneth Tan},
8472  title		= {Using Distributed Computers to Deterministically Approximate Higher Dimensional
8473		  Convection Diffusion Equations},
8474  journal	= {The Journal of Supercomputing},
8475  year		= {2004},
8476  pages		= {235--253},
8477  volume	= {28},
8478  url		= {http://www.springerlink.com/(nekina45nmdgrib5izizn3ip)/app/home/contribution.asp?referrer=parent&backto=issue,8,8;journal,20,73;linkingpublicationresults,1:100302,1},
8479  petsc_uses	= {KSP}
8480}
8481
8482@PhDThesis{	  hwang2004,
8483  author	= {Feng-Nan Hwang},
8484  title		= {Some Parallel Linear and Nonlinear {Schwarz} Methods with Applications in
8485		  Computational Fluid Dynamics},
8486  school	= {University of Colorado at Boulder},
8487  year		= {2004},
8488  petsc_uses	= {KSP}
8489}
8490
8491@PhDThesis{	  baker,
8492  author	= {{A. H.} Baker},
8493  title		= {On improving the performance of the linear solver restarted {GMRES}},
8494  school	= {University of Colorado at Boulder},
8495  year		= {2003},
8496  petsc_uses	= {KSP}
8497}
8498
8499@TechReport{	  klawonnrheinbach601,
8500  author	= {Axel Klawonn and Oliver Rheinbach},
8501  title		= {A Parallel Implementation of Dual-Primal FETI-DP Methods for Three Dimensional
8502		  Linear Elasticity Using a Transformation of Basis},
8503  institution	= {Universit\"at Duisburg-Essen},
8504  year		= {2005},
8505  type		= {Technical Report},
8506  number	= {SM-E-601},
8507  petsc_uses	= {KSP}
8508}
8509
8510@TechReport{	  klawonnrheinbach609,
8511  author	= {Axel Klawonn and Oliver Rheinbach},
8512  title		= {Inexact FETI-DP Methods},
8513  institution	= {Universit\"at Duisburg-Essen},
8514  year		= {2005},
8515  type		= {Technical Report},
8516  number	= {SM-E-609},
8517  petsc_uses	= {KSP}
8518}
8519
8520@TechReport{	  klawonnrheinbach607,
8521  author	= {Axel Klawonn and Oliver Rheinbach},
8522  title		= {Robust FETI-DP Methods for Heterogeneous Three Dimensional Elasticity Problems},
8523  institution	= {Universit\"at Duisburg-Essen},
8524  year		= {2005},
8525  type		= {Technical Report},
8526  number	= {SM-E-607},
8527  petsc_uses	= {KSP}
8528}
8529
8530@Article{	  kul-natraj-pbp,
8531  author	= {Kshitij Kulshreshtha and Neela Nataraj and Michael Jung},
8532  title		= {Performance of a parallel mixed finite element implementation for fourth order
8533		  clamped anisotropic plate bending problems in distributed memory environments},
8534  journal	= {Applied Mathematics and Computation},
8535  volume	= {155},
8536  year		= {2004},
8537  number	= {3},
8538  pages		= {753--777},
8539  petsc_uses	= {KSP}
8540}
8541
8542@Article{	  bramkamp2006uej,
8543  author	= {F. D. Bramkamp and H. M. B{\"u}cker and A. Rasch},
8544  title		= {Using Exact {J}acobians in an Implicit {N}ewton-{K}rylov Method},
8545  journal	= {Computers \& Fluids},
8546  volume	= {35},
8547  number	= {10},
8548  pages		= {1063--1073},
8549  doi		= {10.1016/j.compfluid.2005.10.003},
8550  abstract	= {In an implicit Newton-Krylov method for inviscid, compressible fluid flow, the
8551		  derivation of the analytic flux Jacobian can become quite complicated depending on
8552		  the complexity of the numerical flux calculation. Practically, the derivation of
8553		  the exact Jacobian by hand is an unrealistic option because of the enormous
8554		  man-hour investment needed. In this work, automatic differentiation is used to
8555		  evaluate the exact Jacobian of upwind schemes implemented in the flow solver
8556		  QUADFLOW. We compare the use of exact Jacobians and Jacobians numerically
8557		  approximated by first-order forward differences. For a two-dimensional airfoil
8558		  under three different flight conditions (quasi-incompressible flow, compressible
8559		  subsonic flow, and transonic flow), we show that the robustness and performance of
8560		  the present finite volume scheme is significantly improved by using exact
8561		  Jacobians.},
8562  year		= {2006},
8563  petsc_uses	= {KSP}
8564}
8565
8566@Article{	  shahbazi1,
8567  author	= {Khosro Shahbazi},
8568  title		= {An explicit expression for the penalty parameter of the interior penalty method},
8569  journal	= {Journal of Computational Physics},
8570  volume	= {205},
8571  year		= {2005},
8572  pages		= {401--407},
8573  petsc_uses	= {KSP}
8574}
8575
8576@TechReport{	  kk,
8577  title		= {A Parallel Lanczos Algorithm for Eigensystem Calculation},
8578  author	= {Hans-Peter Kersken and Uwe Kuster},
8579  year		= {1999},
8580  institution	= {University of Stuttgart},
8581  url		= {http://elib.uni-stuttgart.de/opus/volltexte/1999/310/pdf/310.pdf},
8582  number	= {310},
8583  petsc_uses	= {KSP}
8584}
8585
8586@Article{	  miha-mija,
8587  author	= {M. D. Mihajlovi and S. Mijalkovi},
8588  title		= {A component decomposition preconditioning for 3D stress analysis problems},
8589  journal	= {Numerical Linear Algebra with Applications},
8590  volume	= {9},
8591  year		= {2002},
8592  pages		= {567--583},
8593  url		= {http://www3.interscience.wiley.com/cgi-bin/abstract/98516459/ABSTRACT},
8594  petsc_uses	= {KSP}
8595}
8596
8597@Article{	  bjm,
8598  author	= {M Benzi and W Joubert and G Mateescu},
8599  journal	= {Electronic Transactions on Numerical Analysis},
8600  year		= {1999},
8601  volume	= {8},
8602  pages		= {88--114},
8603  title		= {Numerical experiments with parallel orderings for {ILU} preconditioners},
8604  url		= {http://scholar.google.com/url?sa=U&q=http://emis.bibl.cwi.nl/journals/ETNA/vol.8.1999/pp88-114.dir/pp88-114.ps},
8605  petsc_uses	= {KSP}
8606}
8607
8608@PhDThesis{	  hyde,
8609  author	= {EMK Hyde},
8610  title		= {Fast, High-Order Methods for Scattering by Inhomogeneous Media},
8611  school	= {Caltech},
8612  year		= {2003},
8613  url		= {http://www.acm.caltech.edu/\~{ }bruno/02hyde_thesis_print.pdf},
8614  petsc_uses	= {KSP}
8615}
8616
8617@Article{	  km2003,
8618  author	= {A. Keese and H. G. Matthies},
8619  journal	= {Proceedings in Applied Mathematics and Mechanics},
8620  year		= {2003},
8621  volume	= {2},
8622  pages		= {485--486},
8623  title		= {Parallel Solution of Stochastic PDEs},
8624  url		= {http://www3.interscience.wiley.com/cgi-bin/abstract/104087421/ABSTRACT},
8625  petsc_uses	= {KSP}
8626}
8627
8628@Article{	  whszss,
8629  author	= {Joachim Weickert and Josef Heers and Christoph Schnorr and Karel J. Zuiderveld
8630		  and Otmar Scherzer and H. Siegfried Stiehl},
8631  journal	= {Real Time Imaging},
8632  year		= {2001},
8633  volume	= {7},
8634  pages		= {31--45},
8635  title		= {Fast parallel algorithms for a broad class of nonlinear variational diffusion
8636		  approaches},
8637  url		= {http://www.mia.uni-saarland.de/weickert/Papers/TR_5_99.ps.gz},
8638  petsc_uses	= {KSP}
8639}
8640
8641@TechReport{	  baker1,
8642  title		= {An Efficient Block Variant of GMRES},
8643  author	= {A. H. Baker and J. M. Dennis and E. R. Jessup},
8644  year		= {2003},
8645  type		= {Technical Report},
8646  institution	= {University of Colorado, Boulder},
8647  url		= {http://www.scd.ucar.edu/css/staff/dennis/papers/block.pdf},
8648  number	= {CU-CS-957-03},
8649  petsc_uses	= {KSP}
8650}
8651
8652@InProceedings{	  mc2003,
8653  author	= {Leszek Marcinkowski and Xiao-Chuan Cai},
8654  title		= {Parallel Performance of Some Two-Level {ASPIN} Algorithms},
8655  booktitle	= {Proceedings of the 15th International Conference on Domain Decomposition
8656		  Methods},
8657  pages		= {639--646},
8658  publisher	= {Springer, Lecture Notes in Computational Science and Engineering (LNCSE).},
8659  note		= {},
8660  url		= {http://www.ddm.org/DD15/proceedings-dd15.html},
8661  year		= {2003},
8662  petsc_uses	= {KSP}
8663}
8664
8665@InProceedings{	  kt2003,
8666  author	= {Deepak V. Kulkarni and Daniel A. Tortorelli},
8667  title		= {A Domain Decomposition Based Two-Level Newton Scheme for Nonlinear Problems},
8668  booktitle	= {Proceedings of the 15th International Conference on Domain Decomposition
8669		  Methods},
8670  pages		= {615--622},
8671  publisher	= {Springer, Lecture Notes in Computational Science and Engineering (LNCSE).},
8672  note		= {},
8673  url		= {http://www.ddm.org/DD15/proceedings-dd15.html},
8674  year		= {2003},
8675  petsc_uses	= {KSP}
8676}
8677
8678@InProceedings{	  krw2003,
8679  author	= {Axel Klawonn and Oliver Rheinbach and Olof B. Widlund},
8680  title		= {Some Computational Results for Dual-Primal FETI Methods for Elliptic Problems in
8681		  3D},
8682  booktitle	= {Proceedings of the 15th International Conference on Domain Decomposition
8683		  Methods},
8684  pages		= {361--368},
8685  publisher	= {Springer, Lecture Notes in Computational Science and Engineering (LNCSE).},
8686  note		= {},
8687  url		= {http://www.ddm.org/DD15/proceedings-dd15.html},
8688  year		= {2003},
8689  petsc_uses	= {KSP}
8690}
8691
8692@InProceedings{	  hc2003,
8693  author	= {Feng-Nan Hwang and Xiao-Chuan Cai},
8694  title		= {Improving Robustness and Parallel Scalability of {Newton's} Method Through
8695		  Nonlinear Preconditioning},
8696  booktitle	= {Proceedings of the 15th International Conference on Domain Decomposition
8697		  Methods},
8698  pages		= {201--208},
8699  publisher	= {Springer, Lecture Notes in Computational Science and Engineering (LNCSE).},
8700  note		= {},
8701  url		= {http://www.ddm.org/DD15/proceedings-dd15.html},
8702  year		= {2003},
8703  petsc_uses	= {KSP}
8704}
8705
8706@InProceedings{	  g2003,
8707  author	= {P. Goldfeld},
8708  title		= {Balancing {Neumann-Neumann} for (In)Compressible Linear Elasticity and
8709		  (Generalized) {Stokes} and Parallel Implementation},
8710  booktitle	= {Proceedings of the 14th International Conference on Domain Decomposition
8711		  Methods},
8712  pages		= {209--216},
8713  editor	= {I. Herrera and D. Keyes and O. Widlund and R. Yates},
8714  publisher	= {National Autonomous University of Mexico (UNAM)},
8715  note		= {},
8716  url		= {http://www.ddm.org/DD14},
8717  year		= {2003},
8718  petsc_uses	= {KSP}
8719}
8720
8721@InProceedings{	  dhv2003,
8722  author	= {Zdenek Dostal and David Horak and Oldrich Vlach},
8723  title		= {Toward scalable FETI algorithm for variational inequalities with applications to
8724		  composites},
8725  booktitle	= {Proceedings of the 14th International Conference on Domain Decomposition
8726		  Methods},
8727  pages		= {395--401},
8728  editor	= {I. Herrera and D. Keyes and O. Widlund and R. Yates},
8729  publisher	= {National Autonomous University of Mexico (UNAM)},
8730  note		= {},
8731  url		= {http://www.ddm.org/DD14},
8732  year		= {2003},
8733  petsc_uses	= {KSP}
8734}
8735
8736@InProceedings{	  dhsv2002,
8737  author	= {Zdenek Dostal and David Horak and Jan Szweda and Vit Vondrak},
8738  title		= {Scalabilities of FETI for variational inequalities and contact shape
8739		  optimization},
8740  booktitle	= {Proceedings of the 13th International Conference on Domain Decomposition
8741		  Methods},
8742  pages		= {359--367},
8743  editor	= {N. Debit and M.Garbey and R. Hoppe and J. Periaux and D. Keyes and Y. Kuznetsov},
8744  publisher	= {CIMNE, Barcelona, Spain},
8745  note		= {},
8746  url		= {http://www.ddm.org/DD13},
8747  year		= {2002},
8748  petsc_uses	= {KSP}
8749}
8750
8751@InProceedings{	  cky2002,
8752  author	= {Xiao-Chuan Cai and David E. Keyes and David P. Young},
8753  title		= {A Nonlinear Additive Schwarz Preconditioned Inexact Newton Method for Shocked
8754		  Duct Flows},
8755  booktitle	= {Proceedings of the 13th International Conference on Domain Decomposition
8756		  Methods},
8757  pages		= {343--350},
8758  editor	= {N. Debit and M.Garbey and R. Hoppe and J. Periaux and D. Keyes and Y. Kuznetsov},
8759  publisher	= {CIMNE, Barcelona, Spain},
8760  note		= {},
8761  url		= {http://www.ddm.org/DD13},
8762  year		= {2002},
8763  petsc_uses	= {KSP}
8764}
8765
8766@Conference{	  li-etal:03,
8767  author	= {Li, Z. and Lanteri S. and Saad, Y.},
8768  title		= {Multiplicative-additive preconditioning combination for general sparse linear
8769		  systems},
8770  booktitle	= {2003 International Conference on Preconditioning Techniques for Large Sparse
8771		  Matrix Problems in Scientific and Industrial Applications},
8772  address	= {Napa, California, USA},
8773  date		= {october 27-29},
8774  year		= {2003},
8775  petsc_uses	= {KSP}
8776}
8777
8778@Article{	  bashir2008hessian,
8779  title		= {Hessian-based model reduction for large-scale systems with initial-condition
8780		  inputs},
8781  author	= {Bashir, O. and Willcox, K. and Ghattas, O. and van Bloemen Waanders, B. and Hill,
8782		  J.},
8783  journal	= {International journal for numerical methods in engineering},
8784  volume	= {73},
8785  number	= {6},
8786  pages		= {844--868},
8787  year		= {2008},
8788  publisher	= {Wiley Online Library},
8789  petsc_uses	= {KSP}
8790}
8791
8792@Article{	  bashir2007hessian,
8793  title		= {Hessian-Based Model Reduction for Large-Scale Data Assimilation Problems},
8794  author	= {Bashir, O. and Ghattas, O. and Hill, J. and van Bloemen Waanders, B. and Willcox,
8795		  K.},
8796  journal	= {Computational Science--ICCS 2007},
8797  pages		= {1010--1017},
8798  year		= {2007},
8799  publisher	= {Springer},
8800  petsc_uses	= {KSP}
8801}
8802
8803@Article{	  akcelik2011fast,
8804  title		= {Fast algorithms for {B}ayesian uncertainty quantification in large-scale linear
8805		  inverse problems based on low-rank partial {H}essian approximations},
8806  author	= {Ak\c{c}elik, V. and Flath, H.P. and Ghattas, O. and Hill, J. and van Bloemen
8807		  Waanders, B. and Wilcox, L.},
8808  journal	= {SIAM Journal on Scientific Computing},
8809  volume	= {33},
8810  number	= {1},
8811  year		= {2011},
8812  petsc_uses	= {KSP}
8813}
8814
8815@InProceedings{	  ff2003,
8816  author	= {Abul K. M. Fahimuddin and Heike Fassbender},
8817  title		= {Model Reduction for Large Scale Applications in Microsystem Technology},
8818  booktitle	= {Proceedings of the 2004 SIAM Parallel Processing Conference},
8819  year		= {2003},
8820  petsc_uses	= {KSP}
8821}
8822
8823@InProceedings{	  d2b2004,
8824  author	= {Masoud Darbandi and Gerry E. Schneider and Seyed Mehi Bostandoost},
8825  title		= {Parallel Computation of a Fully Implicit Finite Volume Method Using Different
8826		  Ordering Strategies},
8827  booktitle	= {Proceedings of AIAA Conference, Reno, Nevada},
8828  year		= {2004},
8829  petsc_uses	= {KSP}
8830}
8831
8832@InProceedings{	  d2v2005,
8833  author	= {Masoud Darbandi and Gerry E. Schneider and Soheyl Vakili},
8834  title		= {A Comparative Study of Preconditioned Methods for Solving Fully Coupled Fluid
8835		  Flow Equations},
8836  booktitle	= {The 13th Annual Conference on Computational Fluid Dynamics},
8837  year		= {2005},
8838  petsc_uses	= {KSP}
8839}
8840
8841@InProceedings{	  dvs2006,
8842  author	= {Masoud Darbandi and Soheyl Vakili and Gerry E. Schneider},
8843  title		= {The Employment of Algebraic Multigrid as a Preconditioner to Solve Fully Implicit
8844		  Mixed Convection Equations},
8845  booktitle	= { The 44th AIAA Aerospace Sciences Meeting and Exhibit},
8846  year		= {2006},
8847  petsc_uses	= {KSP}
8848}
8849
8850@Article{	  dsv2006,
8851  author	= {Masoud Darbandi and Gerry E. Schneider and Soheyl Vakili},
8852  title		= {Using Different Preconditioned Krylov Subspace Methods to Solve Coupled Fluid
8853		  Flow Equations},
8854  journal	= {Computational Fluid Dynamics},
8855  year		= {2006},
8856  volume	= {15},
8857  number	= {1},
8858  petsc_uses	= {KSP}
8859}
8860
8861@Article{	  lahaye03,
8862  author	= {Lahaye, D. and Vandewalle, S. and Hameyer, K.},
8863  title		= {An Algebraic Multilevel Preconditioner for Field-Circuit Coupled Problems},
8864  journal	= {J. Comput. Appl. Math.},
8865  year		= {2004},
8866  pages		= {267--275},
8867  volume	= {168},
8868  petsc_uses	= {KSP}
8869}
8870
8871@TechReport{	  brmn,
8872  title		= {Faster {PDE}-based Simulations Using Robust Composite Linear Solvers},
8873  author	= {S. Bhowmick and P. Raghavan and L. McInnes and B. Norris},
8874  year		= {2002},
8875  type		= {Technical Report},
8876  institution	= {ANL},
8877  number	= {ANL/MCS-P993-0902},
8878  note		= {To appear in Future Generation Computer Systems},
8879  petsc_uses	= {KSP}
8880}
8881
8882@InProceedings{	  mnbr,
8883  author	= {L. McInnes and B. Norris and S. Bhowmick and P. Raghavan},
8884  title		= {Adaptive Sparse Linear Solvers for Implicit {CFD} Using {Newton-Krylov}
8885		  Algorithms},
8886  booktitle	= {Proceedings of the Second MIT Conference on Computational Fluid and Solid
8887		  Mechanics},
8888  year		= {2003},
8889  petsc_uses	= {KSP}
8890}
8891
8892@InProceedings{	  bmnr,
8893  author	= {S. Bhowmick and L. McInnes and B. Norris and P. Raghavan},
8894  title		= {The Role of Multi-Method Linear Solvers in {PDE}-based Simulations},
8895  booktitle	= {Proceedings of the 2003 International Conference on Computational Science and its
8896		  Applications, Lecture notes in Computer Science 2677},
8897  editor	= {V. Kumar and M. L. Gavrilova and C. J. K. Tan and P. L'Ecuyer},
8898  pages		= {828--839},
8899  year		= {2003},
8900  petsc_uses	= {KSP}
8901}
8902
8903@Article{	  ph03,
8904  author	= {M. Pernice and R. D. Hornung},
8905  title		= {Newton-Krylov-FAC Methods for Problems Discretized on Locally Refined Grids},
8906  journal	= {Computing and Visualization in Science},
8907  year		= {2003},
8908  lab		= {LANL},
8909  petsc_uses	= {KSP}
8910}
8911
8912@Article{	  adams-02,
8913  author	= {Adams, M.~F. and Brezina, M. and Hu, J. J. and Tuminaro, R. S},
8914  journal	= {J. Comp. Phys.},
8915  number	= {2},
8916  pages		= {593-610},
8917  title		= {Parallel multigrid smoothing: polynomial versus {G}auss--{S}eidel},
8918  volume	= {188},
8919  year		= {2003},
8920  petsc_uses	= {KSP}
8921}
8922
8923@InProceedings{	  adams2001distributed,
8924  title		= {A distributed memory unstructured {G}auss-{S}eidel algorithm for multigrid
8925		  smoothers},
8926  author	= {Adams, M.F.},
8927  booktitle	= {Supercomputing, ACM/IEEE 2001 Conference},
8928  pages		= {14--14},
8929  year		= {2001},
8930  organization	= {IEEE},
8931  petsc_uses	= {KSP}
8932}
8933
8934@PhDThesis{	  els01,
8935  author	= {Ulrich Elsner},
8936  title		= {Static and Dynamic Graph Partitioning. A comparative study of existing
8937		  algorithms},
8938  school	= {Technical University Chemnitz},
8939  year		= {2002},
8940  publisher	= {Logos Verlag, Berlin},
8941  isbn		= {3-89722-923-4},
8942  annote	= {Uses PETSc's high quality parallel algorithms to provide a framework to compare
8943		  different graph partitioning algorithms},
8944  petsc_uses	= {KSP}
8945}
8946
8947@TechReport{	  ckk02,
8948  title		= {Pseudo-Transient Continuation and Differential-Algebraic Equations},
8949  author	= {Todd S. Coffey and C. T. Kelley and David E. Keyes},
8950  year		= {2002},
8951  type		= {Technical Report},
8952  institution	= {ODU},
8953  url		= {http://www.math.odu.edu/\~{ }keyes},
8954  note		= {Submitted to the special issue of the SIAM Journal of Scientific Computing
8955		  dedicated to papers from the 2002 Copper Mountain Conference on Iterative
8956		  Methods},
8957  petsc_uses	= {KSP}
8958}
8959
8960@Article{	  gpw2002,
8961  title		= {Balancing Neumann-Neumann Preconditioners for Mixed Approximations of
8962		  Heterogeneous Problems in Linear Elasticity},
8963  author	= {Paulo Goldfeld and Luca F. Pavarino and Olof B. Widlund},
8964  year		= {2003},
8965  pages		= {283--324},
8966  volume	= {95},
8967  url		= {http://www.cs.nyu.edu/csweb/Research/TechReports/TR2002-825/TR2002-825.pdf},
8968  journal	= {Numerische Mathematik},
8969  petsc_uses	= {KSP}
8970}
8971
8972@Article{	  dh1,
8973  title		= {Scalability and FETI based algorithm for large discretized variational
8974		  inequalities},
8975  author	= {Z Dostal and D Horak},
8976  year		= {2003},
8977  pages		= {347--357},
8978  volume	= {61},
8979  url		= {http://portal.acm.org/citation.cfm?id=770222.770239},
8980  journal	= {Mathematics and Computers in Simulation},
8981  petsc_uses	= {KSP}
8982}
8983
8984@InProceedings{	  dhsv1,
8985  author	= {Zdenek Dostal and David Horak and Jan Szweda and Vit Vondrak},
8986  url		= {http://cdcsp.univ-lyon1.fr/\~{ }dd13/DD13proc/Dostal.pdf},
8987  title		= {36 Scalabilities of FETI for Variational Inequalities and Contact Shape
8988		  Optimization},
8989  booktitle	= {Proceedings of the 13th International Conference on Domain Decomposition
8990		  Methods},
8991  editor	= { N. Debit and M. Garbey and R. Hoppe and J. Periaus and D. Keyes and Y.
8992		  Kuznetsov},
8993  petsc_uses	= {KSP}
8994}
8995
8996@Article{	  lahaye02,
8997  author	= {Domenico Lahaye and S. Vandewalle and K. Hameyer},
8998  title		= {An Algebraic Multilevel Preconditioner for Field-Circuit Coupled Problems},
8999  journal	= {IEEEMAGN},
9000  year		= {2002},
9001  volume	= {38},
9002  number	= {2},
9003  pages		= {413-416},
9004  petsc_uses	= {KSP}
9005}
9006
9007@Article{	  ckm01,
9008  author	= {X.-C. Cai and D. E. Keyes and L. Marcinkowski},
9009  url		= {http://www.cs.colorado.edu/homes/cai/public_html/papers/10page.ps},
9010  title		= {Nonlinear additive {Schwarz} preconditioners and applications in computational
9011		  fluid dynamics},
9012  journal	= {International Journal of Numerical Methods in Fluid Mechanics},
9013  year		= {2002},
9014  volume	= {40},
9015  pages		= {1463--1470},
9016  petsc_uses	= {KSP}
9017}
9018
9019@InProceedings{	  cky01,
9020  author	= {X.-C. Cai and D. E. Keyes and D. P. Young},
9021  url		= {http://www.cs.colorado.edu/homes/cai/public_html/papers/dd13_1d.ps},
9022  title		= {A nonlinear additive {Schwarz} preconditioned inexact {Newton} method for shocked
9023		  duct flow},
9024  booktitle	= {Proceedings of the 13th International Conference on Domain Decomposition
9025		  Methods},
9026  editor	= { N. Debit and M. Garbey and R. Hoppe and J. Periaus and D. Keyes and Y.
9027		  Kuznetsov},
9028  year		= {2002},
9029  petsc_uses	= {KSP}
9030}
9031
9032@Article{	  ck02,
9033  author	= {X.-C. Cai and D. E. Keyes},
9034  url		= {http://www.cs.colorado.edu/homes/cai/public_html/papers/aspin.ps},
9035  title		= {Nonlinearly preconditioned inexact {Newton} algorithms},
9036  journal	= {SIAM J. Sci. Comput.},
9037  year		= {2002},
9038  pages		= {183--200},
9039  volume	= {24},
9040  petsc_uses	= {KSP}
9041}
9042
9043@Article{	  c04,
9044  author	= {Feng-Nan Hwang and X.-C. Cai},
9045  url		= {http://amath.colorado.edu/student/hwangf/papers/one-level-aspin.pdf},
9046  title		= {A parallel nonlinear additive {Schwarz} preconditioned inexact {Newton} algorithm
9047		  for incompressible {Navier-Stokes} equations},
9048  journal	= {Journal of Computational Physics},
9049  year		= {2005},
9050  volume	= {204},
9051  pages		= {666--691},
9052  petsc_uses	= {KSP}
9053}
9054
9055@Article{	  hc06,
9056  author	= {Feng-Nan Hwang and X.-C. Cai},
9057  url		= {http://www.cs.colorado.edu/\~{ }cai/papers/aspin2_06.pdf},
9058  title		= {A Class of Parallel Two-Level Nonlinear {Schwarz} Preconditioned Inexact {Newton}
9059		  Algorithms},
9060  journal	= {Computer Methods in Applied Mechanics and Engineering},
9061  year		= {2006},
9062  volume	= {196},
9063  pages		= {1603--1611},
9064  petsc_uses	= {KSP}
9065}
9066
9067@InProceedings{	  adams-01,
9068  author	= {Mark F. Adams},
9069  title		= {A Distributed Memory Unstructured {G}auss-{S}eidel Algorithm for Multigrid
9070		  Smoothers},
9071  booktitle	= {ACM/IEEE Proceedings of SC2001: High Performance Networking and Computing},
9072  address	= {Denver, Colorado},
9073  month		= {November},
9074  year		= {2001},
9075  petsc_uses	= {KSP}
9076}
9077
9078@Book{		  1dl,
9079  author	= {Domenico Lahaye},
9080  title		= {Algebraic Multigrid for Two Dimensional Time-Harmonic Magnetic Field
9081		  Computations},
9082  year		= {2001},
9083  publisher	= {Katholieke Universiteit Leuven},
9084  notes		= {Thesis},
9085  petsc_uses	= {KSP}
9086}
9087
9088@Article{	  adams-00,
9089  author	= {Adams, M.~F.},
9090  journal	= {International Journal for Numerical Methods in Engineering},
9091  number	= {8},
9092  pages		= {1241-1262},
9093  title		= {Parallel Multigrid Solvers for 3{D} Unstructured Finite Element Problems in Large
9094		  Deformation Elasticity and Plasticity},
9095  volume	= {48},
9096  year		= {2000},
9097  petsc_uses	= {KSP}
9098}
9099
9100@Article{	  adams2002evaluation,
9101  author	= {Adams, M.~F.},
9102  journal	= {International Journal for Numerical Methods in Engineering},
9103  number	= {1},
9104  pages		= {519-534},
9105  title		= {Evaluation of Three Unstructured Multigrid Methods on 3{D} Finite Element
9106		  Problems in Solid Mechanics},
9107  volume	= {55},
9108  year		= {2002},
9109  petsc_uses	= {KSP}
9110}
9111
9112@Article{	  lahaye00,
9113  author	= {Domenico Lahaye and De Gersem, H. and Vandewalle, S. and Hameyer, K.},
9114  title		= {Algebraic Multigrid for Complex Symmetric Systems},
9115  journal	= {IEEEMAGN},
9116  year		= {2000},
9117  volume	= {36},
9118  number	= {4},
9119  pages		= {1535--1538},
9120  petsc_uses	= {KSP}
9121}
9122
9123@InProceedings{	  adams-99c,
9124  author	= {Mark F. Adams and J. Demmel},
9125  title		= {Parallel Multigrid Solver Algorithms and Implementations for 3{D} Unstructured
9126		  Finite Element Problems},
9127  booktitle	= {Proceedings of SC99: High Performance Networking and Computing},
9128  address	= {Portland, Oregon},
9129  month		= {November},
9130  year		= {1999},
9131  petsc_uses	= {KSP}
9132}
9133
9134@Article{	  chan95,
9135  author	= {T. Chan and B. Smith and J. Zou},
9136  title		= {Overlapping {S}chwarz Methods on Unstructured Meshes using Non-matching Coarse
9137		  Grids},
9138  journal	= {Numer. Math.},
9139  year		= {1995},
9140  volume	= {73},
9141  pages		= {149--167},
9142  petsc_uses	= {KSP}
9143}
9144
9145@TechReport{	  adams-csd-98-993,
9146  pages		= {11},
9147  year		= {1998},
9148  type		= {Technical Report},
9149  number	= {CSD-98-993},
9150  institution	= {University of California, Berkeley},
9151  title		= {A Parallel Maximal Independent Set Algorithm},
9152  bibdate	= {March 11, 1998},
9153  author	= {Mark F. Adams and James Demmel},
9154  abstract	= {The parallel construction of maximal independent sets is a useful building block
9155		  for many algorithms in the computational sciences, including graph coloring and
9156		  multigrid coarse grid creation on unstructured meshes. We present an efficient
9157		  asynchronous maximal independent set algorithm for use on parallel computers, for
9158		  ``well partitioned'' graphs, that arise from finite element (FE) models. For
9159		  appropriately partitioned bounded degree graphs, it is shown that the running time
9160		  of our algorithm under the P-RAM computational model is of $O(1)$, which is an
9161		  improvement over the previous best P-RAM complexity for this class of graphs. We
9162		  present numerical experiments on an IBM SP, that confirm our P-RAM complexity
9163		  model is indicative of the performance one can expect with practical partitions on
9164		  graphs from FE problems.},
9165  month		= mar # { 11,},
9166  petsc_uses	= {KSP}
9167}
9168
9169@TechReport{	  k676,
9170  year		= {1994},
9171  type		= {Technical Report},
9172  number	= {TR1994-676},
9173  institution	= {New York University},
9174  title		= {An Optimal Preconditioner for a Class of Saddle Point Problems with a Penalty
9175		  Term},
9176  author	= {Axel Klawonn},
9177  url		= {http://www.cs.nyu.edu/csweb/Research/TechReports/TR1994-676/TR1994-676.pdf},
9178  petsc_uses	= {KSP}
9179}
9180
9181@Book{		  ak1,
9182  author	= {Axel Klawonn},
9183  title		= {Preconditioners for Indefinite Problems},
9184  year		= {1995},
9185  publisher	= {Westfalishen Wilhelms-Universitat Munster},
9186  url		= {http://www.cs.nyu.edu/csweb/Research/TechReports/TR1996-716/TR1996-716.pdf},
9187  notes		= {Thesis},
9188  petsc_uses	= {KSP}
9189}
9190
9191@TechReport{	  knepleykarpeev05,
9192  pages		= {41},
9193  year		= {2005},
9194  type		= {Technical Report},
9195  number	= {ANL/MCS-P1295-1005},
9196  institution	= {Argonne National Laboratory},
9197  title		= {Flexible Representation of Computational Meshes},
9198  author	= {Matthew G. Knepley and Dmitry A. Karpeev},
9199  abstract	= {},
9200  url		= {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P1295.pdf},
9201  note		= {\url{ftp://info.mcs.anl.gov/pub/tech_reports/reports/P1295.pdf}},
9202  month		= {October},
9203  petsc_uses	= {DMPlex}
9204}
9205
9206@TechReport{	  knepleykarpeev07a,
9207  pages		= {14},
9208  year		= {2007},
9209  type		= {Technical Report},
9210  number	= {ANL/MCS-P1455-0907},
9211  institution	= {Argonne National Laboratory},
9212  title		= {Mesh Algorithms for {PDE} with {Sieve} {I}: {Mesh} Distribution},
9213  author	= {Matthew G. Knepley and Dmitry A. Karpeev},
9214  abstract	= {},
9215  url		= {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P1455.pdf},
9216  note		= {\url{ftp://info.mcs.anl.gov/pub/tech_reports/reports/P1455.pdf}},
9217  month		= {February},
9218  petsc_uses	= {DMPlex}
9219}
9220
9221@Article{	  knepleykarpeev09,
9222  author	= {Matthew G. Knepley and Dmitry A. Karpeev},
9223  title		= {Mesh Algorithms for {PDE} with {Sieve} {I}: {Mesh} Distribution},
9224  journal	= {Scientific Programming},
9225  volume	= {17},
9226  number	= {3},
9227  pages		= {215--230},
9228  year		= {2009},
9229  doi		= {10.3233/SPR-2009-0249},
9230  url		= {http://arxiv.org/abs/0908.4427},
9231  note		= {\url{http://arxiv.org/abs/0908.4427}},
9232  petsc_uses	= {DMPlex}
9233}
9234
9235@Article{	  biezuner2012computing,
9236  author	= {Biezuner, Rodney and Brown, Jed and Ercole, Grey and Martins, Eder},
9237  affiliation	= {Departamento de Matem\'atica—ICEx, Universidade Federal de Minas Gerais, Av.
9238		  Ant\^onio Carlos 6627, Caixa Postal 702, 30161-970 Belo Horizonte, MG, Brazil},
9239  title		= {Computing the First Eigenpair of the $p$-{L}aplacian via Inverse Iteration of
9240		  Sublinear Supersolutions},
9241  journal	= {Journal of Scientific Computing},
9242  publisher	= {Springer Netherlands},
9243  issn		= {0885-7474},
9244  keyword	= {Mathematics and Statistics},
9245  pages		= {180--201},
9246  volume	= {52},
9247  issue		= {1},
9248  year		= {2012},
9249  doi		= {10.1007/s10915-011-9540-0},
9250  petsc_uses	= {KSP}
9251}
9252
9253% LiteralHTML:
9254% LiteralHTML:  <a name="books"><H3><center>Books</center></H3>
9255% LiteralHTML:
9256@Book{		  knepley2017,
9257  title		= {Computational Science I},
9258  author	= {Matthew G. Knepley},
9259  url		= {https://www.cse.buffalo.edu/~knepley/classes/caam519/CSBook.pdf},
9260  note		= {\url{https://www.cse.buffalo.edu/~knepley/classes/caam519/CSBook.pdf}},
9261  publisher	= {PETSc},
9262  year		= {2017},
9263  petsc_uses	= {KSP}
9264}
9265
9266@Article{	  verleyeuser,
9267  title		= {{User friendly permeability predicting software for technical textiles}},
9268  author	= {Verleye, B. and Morren, G. and Lomov, S.V. and Sol, H. and Verpoest, I. and
9269		  Roose, D.},
9270  journal	= {status: published},
9271  issn		= {1560-6074},
9272  publisher	= {Hong Kong Polytechnic University, Hong Kong Institution of Textile and Apparel},
9273  petsc_uses	= {KSP}
9274}
9275
9276@Book{		  pacheco,
9277  author	= {Peter Pacheco},
9278  title		= {Parallel Programming with MPI},
9279  year		= {1997},
9280  publisher	= {Morgan-Kaufmann},
9281  note		= {Devotes a couple of sections to PETSc},
9282  petsc_uses	= {KSP}
9283}
9284
9285@Book{		  1sbg,
9286  author	= {Barry F. Smith and Petter Bj{\o}rstad and William D. Gropp},
9287  title		= {Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial
9288		  Differential Equations},
9289  year		= {1996},
9290  publisher	= {Cambridge University Press},
9291  url		= {http://www.mcs.anl.gov/~bsmith/ddbook.html},
9292  petsc_uses	= {KSP}
9293}
9294
9295@Misc{		  petsc-fem:homepage,
9296  title		= {{PETSc-FEM}: A General Purpose, Parallel, Multi-physics {FEM} Program},
9297  author	= {M. Storti and N. Nigro and R. Paz and L. Dalcin and E. Lopez and L. Battaglia and
9298		  G. Rodriguez and G. Filippini},
9299  howpublished	= {\url{http://www.cimec.org.ar/twiki/bin/view/Cimec/PETScFEM}},
9300  petsc_uses	= {KSP}
9301}
9302
9303@Misc{		  petsc4py-web-page,
9304  author	= {Lisandro Dalcin},
9305  title		= {{PETSc} for {Python} -- {Python} bindings for {PETSc} libraries},
9306  howpublished	= {\url{http://code.google.com/p/petsc4py/}},
9307  note		= {http://code.google.com/p/petsc4py/},
9308  petsc_uses	= {KSP}
9309}
9310
9311@Article{	  libmeshpaper06,
9312  author	= {B.~S.~Kirk and J.~W.~Peterson and R.~H.~Stogner and G.~F.~Carey},
9313  title		= {{\texttt{libMesh}: A C++ Library for Parallel Adaptive Mesh Refinement/Coarsening
9314		  Simulations}},
9315  journal	= {Engineering with Computers},
9316  volume	= {22},
9317  number	= {3--4},
9318  pages		= {237--254},
9319  year		= {2006},
9320  doi		= {10.1007/s00366-006-0049-3},
9321  petsc_uses	= {KSP}
9322}
9323
9324@Misc{		  sisiphus:homepage,
9325  title		= {{SISIPHUS}: Scalable Ice-Sheet Solvers and Infrastructure for Petascale,
9326		  High-Resolution, Unstructured Simulations},
9327  author	= {T. {Tautges et al.}},
9328  howpublished	= {\url{http://trac.mcs.anl.gov/projects/sisiphus/wiki}},
9329  petsc_uses	= {KSP}
9330}
9331
9332@Misc{		  pflotran:homepage,
9333  title		= {{PFLOTRAN} project},
9334  author	= {Ben Andre and Gautam Bisht and Nathan Collier and Glenn Hammond and Satish Karra
9335		  and Jitendra Kumar and Peter Lichtner and Richard Mills},
9336  howpublished	= {\url{http://pflotran.org/}},
9337  petsc_uses	= {KSP}
9338}
9339
9340@Misc{		  pism:homepage,
9341  title		= {{PISM}: A Parallel Ice Sheet Model},
9342  author	= {E. {Bueler et al.}},
9343  howpublished	= {\url{http://pism-docs.org}},
9344  petsc_uses	= {KSP}
9345}
9346
9347@Misc{		  dohp:homepage,
9348  title		= {Dohp: Dual order $hp$-finite elements},
9349  author	= {J. Brown},
9350  howpublished	= {\url{http://dohp.org}},
9351  petsc_uses	= {KSP}
9352}
9353
9354@Article{	  mccourtrognlienetal12,
9355  title		= {Improving parallel scalability for edge plasma transport simulations with neutral
9356		  gas species},
9357  author	= {M. McCourt and T. D. Rognlien and L. C. McInnes and H. Zhang},
9358  journal	= {Computational Science and Discovery},
9359  year		= {2012},
9360  volume	= {5},
9361  number	= {014012},
9362  doi		= {10.1088/1749-4699/5/1/014012},
9363  note		= {Focus on 22nd International Conference on Numerical Simulations of Plasmas (ICNSP
9364		  2011)},
9365  petsc_uses	= {KSP}
9366}
9367
9368@Misc{		  petclaw-github,
9369  title		= {Pet{C}law Software},
9370  author	= {Kyle T. Mandli and David I. Ketcheson and Amal Alghamdi and Aron Ahmadia},
9371  year		= {2011},
9372  howpublished	= {\url{https://github.com/pyclaw/pyclaw}},
9373  petsc_uses	= {KSP}
9374}
9375
9376@Misc{		  pyclaw-web-page,
9377  author	= {Kyle T. Mandli and David I. Ketcheson and others},
9378  title		= {{PyClaw} software},
9379  howpublished	= {\url{http://clawpack.github.io/doc/pyclaw/}},
9380  url		= {http://clawpack.github.io/doc/pyclaw/},
9381  year		= {2012},
9382  petsc_uses	= {KSP}
9383}
9384
9385@Article{	  ketcheson2011highorder,
9386  title		= {High-order wave propagation algorithms for general hyperbolic systems},
9387  author	= {Ketcheson, David I. and Parsani, Matteo and LeVeque, Randall J.},
9388  year		= {2011},
9389  note		= {submitted},
9390  petsc_uses	= {KSP}
9391}
9392
9393@Article{	  biros2005pln1,
9394  title		= {{Parallel {Lagrange-Newton-Krylov-Schur} methods for {PDE} constrained
9395		  optimization. Part I: The {Krylov-Schur} solver}},
9396  author	= {Biros, G. and Ghattas, O.},
9397  journal	= {SIAM Journal on Scientific Computing},
9398  volume	= {27},
9399  number	= {2},
9400  pages		= {687--713},
9401  year		= {2005},
9402  publisher	= {Society for Industrial and Applied Mathematics Philadelphia, PA, USA},
9403  petsc_uses	= {KSP}
9404}
9405
9406@Article{	  biros2005pln2,
9407  title		= {Parallel {Lagrange-Newton-Krylov-Schur} methods for {PDE}-constrained
9408		  optimization. Part {II}: The {Lagrange Newton} solver, and its application to
9409		  optimal control of steady viscous flows},
9410  author	= {Biros, G. and Ghattas, O.},
9411  journal	= {SIAM Journal on Scientific Computing},
9412  volume	= {27},
9413  number	= {2},
9414  pages		= {714--739},
9415  year		= {2005},
9416  publisher	= {Society for Industrial and Applied Mathematics Philadelphia, PA, USA},
9417  petsc_uses	= {KSP}
9418}
9419
9420@Misc{		  issm:homepage,
9421  title		= {{I}ce {S}heet {S}ystem {M}odel},
9422  author	= {Eric Larour and Mathieu Morlighem and Helene Seroussi},
9423  year		= {2010},
9424  note		= {\href{http://issm.jpl.nasa.gov}{\url{issm.jpl.nasa.gov}}},
9425  petsc_uses	= {KSP}
9426}
9427
9428@Article{	  morlighem2010spatial,
9429  title		= {Spatial patterns of basal drag inferred using control methods from a
9430		  full-{S}tokes and simpler models for {P}ine {I}sland {G}lacier, {W}est
9431		  {A}ntarctica},
9432  author	= {Morlighem, M. and Rignot, E. and Seroussi, H. and Larour, E. and Dhia, H.B. and
9433		  Aubry, D.},
9434  journal	= {Geophysical Research Letters},
9435  volume	= {37},
9436  number	= {14},
9437  pages		= {L14502},
9438  year		= {2010},
9439  publisher	= {American Geophysical Union},
9440  petsc_uses	= {KSP}
9441}
9442
9443@Article{	  jardin2012plasmas,
9444  title		= {Multiple timescale calculations of sawteeth and other global macroscopic dynamics
9445		  of tokamak plasmas},
9446  author	= {S. C. Jardin and N. Ferraro and J. Breslau and J. Chen},
9447  journal	= {Computational Science \& Discovery},
9448  volume	= {5},
9449  number	= {1},
9450  url		= {http://stacks.iop.org/1749-4699/5/014002},
9451  year		= {2012},
9452  petsc_uses	= {KSP}
9453}
9454
9455@Article{	  cmz2016,
9456  title		= {Analysis and Practical Use of Flexible {BiCGStab}},
9457  author	= {Jie Chen and Lois Curfman McInnes and Hong Zhang},
9458  journal	= {Journal of Scientific Computing},
9459  publisher	= {Springer},
9460  pages		= {803--825},
9461  volume	= {68},
9462  issue		= {2},
9463  url		= {http://link.springer.com/article/10.1007/s10915-015-0159-4},
9464  doi		= {10.1007/s10915-015-0159-4},
9465  year		= {2016},
9466  note		= {Also preprint ANL/MCS-P3039-0912},
9467  petsc_uses	= {KSP}
9468}
9469
9470@Article{	  knepleybrownruppsmith13,
9471  author	= {{Knepley}, M.~G. and {Brown}, J. and {Rupp}, K. and {Smith}, B.~F.},
9472  title		= {Achieving High Performance with Unified Residual Evaluation},
9473  journal	= {ArXiv e-prints},
9474  eprint	= {1309.1204},
9475  archiveprefix	= {arXiv},
9476  primaryclass	= {cs.MS},
9477  keywords	= {Computer Science - Mathematical Software, Computer Science - Computational
9478		  Engineering, Finance, and Science},
9479  year		= {2013},
9480  month		= sep,
9481  adsurl	= {http://adsabs.harvard.edu/abs/2013arXiv1309.1204K},
9482  adsnote	= {Provided by the SAO/NASA Astrophysics Data System},
9483  petsc_uses	= {KSP}
9484}
9485
9486@Book{		  fenicsbook,
9487  title		= {Automated Solution of Differential Equations by the Finite Element Method: The
9488		  FEniCS Book},
9489  series	= {Lecture Notes in Computational Science and Engineering},
9490  volume	= {84},
9491  editor	= {Anders Logg, Kent-Andre Mardal, Garth Wells},
9492  publisher	= {Springer},
9493  isbn		= {978-3-642-23098-1},
9494  year		= {2012},
9495  petsc_uses	= {KSP}
9496}
9497
9498@Article{	  demidovahnertruppgottschling12,
9499  author	= {{Demidov}, D. and {Ahnert}, K. and {Rupp}, K. and {Gottschling}, P.},
9500  title		= {{Programming CUDA and OpenCL: A Case Study Using Modern C++ Libraries}},
9501  journal	= {ArXiv e-prints},
9502  archiveprefix	= {arXiv},
9503  eprint	= {1212.6326},
9504  primaryclass	= {cs.MS},
9505  keywords	= {Computer Science - Mathematical Software, Computer Science - Distributed,
9506		  Parallel, and Cluster Computing, Physics - Computational Physics},
9507  year		= {2012},
9508  month		= dec,
9509  adsurl	= {http://adsabs.harvard.edu/abs/2012arXiv1212.6326D},
9510  adsnote	= {Provided by the SAO/NASA Astrophysics Data System},
9511  petsc_uses	= {KSP}
9512}
9513
9514@InProceedings{	  viennacl,
9515  author	= {Rupp, K. and Rudolf, F. and Weinbub, J.},
9516  title		= {{ViennaCL - A High Level Linear Algebra Library for GPUs and Multi-Core CPUs}},
9517  booktitle	= {Intl.~Workshop on GPUs and Scientific Applications},
9518  year		= {2010},
9519  pages		= {51-56},
9520  petsc_uses	= {KSP}
9521}
9522
9523@Article{	  knepleybrownmcinnessmithruppadams2015,
9524  title		= {Exascale Computing without Threads},
9525  author	= {Matthew G. Knepley and Jed Brown and Lois Curfman McInnes and Barry Smith and
9526		  Karl Rupp and Mark Adams},
9527  url		= {https://figshare.com/articles/Exascale_Computing_without_Threads-Barry_Smith_pdf/5824950},
9528  note		= {Whitepaper for the DOE High Performance Computing Operational Review (HPCOR) on
9529		  Scientific Software Architecture for Portability and Performance},
9530  doi		= {10.6084/m9.figshare.5824950.v1},
9531  year		= {2015},
9532  petsc_uses	= {KSP}
9533}
9534
9535@Article{	  knepleybrownmcinnessmithruppadams2015b,
9536  title		= {Overview of the {PETSc} Library},
9537  author	= {Matthew G. Knepley and Jed Brown and Lois Curfman McInnes and Barry Smith and
9538		  Karl Rupp and Mark Adams},
9539  url		= {http://www.orau.gov/hpcor2015/whitepapers/Overview_of_the_PETSc_Library-Lois_McInnes.pdf},
9540  note		= {Whitepaper for the DOE High Performance Computing Operational Review (HPCOR) on
9541		  Scientific Software Architecture for Portability and Performance},
9542  year		= {2015},
9543  petsc_uses	= {KSP}
9544}
9545
9546@InBook{	  balaybrownknepleymcinnessmith2015,
9547  author	= {Satish Balay and Jed Brown and Matthew G. Knepley and Lois McInnes and Barry
9548		  Smith},
9549  bookeditor	= {J. Carver},
9550  title		= {Software Engineering for Science},
9551  chapter	= {Providing Mixed Language and Legacy Support within a Library},
9552  publisher	= {Taylor \& Francis},
9553  year		= {2015},
9554  petsc_uses	= {KSP}
9555}
9556
9557@Article{	  ruppbalaybrownknepleymcinnessmith2015,
9558  title		= {On The Evolution Of User Support Topics in Computational Science and Engineering
9559		  Software},
9560  author	= {Karl Rupp and Satish Balay and Jed Brown and Matthew G. Knepley and Lois Curfman
9561		  McInnes and Barry F. Smith},
9562  note		= {Whitepaper for Computational Science \& Engineering Software Sustainability and
9563		  Productivity Challenges},
9564  journal	= {ArXiv e-prints},
9565  archiveprefix	= {arXiv},
9566  eprint	= {1510.01122},
9567  year		= {2015},
9568  petsc_uses	= {KSP}
9569}
9570
9571@InProceedings{	  knepley2013accurately,
9572  title		= {Accurately Citing Software and Algorithms Used in Publications},
9573  author	= {Knepley, Matthew G. and Brown, Jed and McInnes, Lois Curfman and Smith, Barry
9574		  F.},
9575  year		= {2013},
9576  booktitle	= {First Workshop on Sustainable Software for Science: Practice and Experiences
9577		  (WSSSPE), held at SC13},
9578  doi		= {10.6084/m9.figshare.785731},
9579  petsc_uses	= {KSP}
9580}
9581
9582@InProceedings{	  milleretal2013,
9583  title		= {Package Management Practice Essential for Interoperability: Lessons Learned and
9584		  Strategies Developed for {FASTMath}},
9585  author	= {Mark C. Miller and Lori Diachin and Satish Balay and Lois Curfman McInnes and
9586		  Barry Smith},
9587  year		= {2013},
9588  booktitle	= {First Workshop on Sustainable Software for Science: Practice and Experiences
9589		  (WSSSPE), held at SC13},
9590  doi		= {10.6084/m9.figshare.789055},
9591  petsc_uses	= {KSP}
9592}
9593
9594@TechReport{	  dudsonetal2012,
9595  title		= {Improved Nonlinear Solvers in {BOUT++}},
9596  author	= {Ben Dudson and Sean Farley and Lois Curfman McInnes},
9597  institution	= {Argonne National Laboratory},
9598  number	= {ANL/MCS-P3025-0812},
9599  year		= {2012},
9600  petsc_uses	= {KSP}
9601}
9602
9603@Misc{		  brown13,
9604  author	= {J. Brown},
9605  title		= {Scalable Repository Workflows},
9606  note		= {whitepaper submitted to DOE Workshop on Software Productivity for Extreme-Scale
9607		  Science, available via \url{http://www.orau.gov/swproductivity2014/papers.htm}},
9608  year		= {2013},
9609  petsc_uses	= {KSP}
9610}
9611
9612@Misc{		  starforest11,
9613  title		= {Star forests as a parallel communication model},
9614  author	= {Jed Brown},
9615  url		= {https://jedbrown.org/files/StarForest.pdf},
9616  year		= {2011},
9617  petsc_uses	= {KSP}
9618}
9619
9620@Misc{		  brownknepleysmith13,
9621  author	= {J. Brown and M. Knepley and B. Smith},
9622  title		= {Run-time Extensibility: Anything Less is Unsustainable},
9623  note		= {whitepaper submitted to DOE Workshop on Software Productivity for Extreme-Scale
9624		  Science, available via \url{http://www.orau.gov/swproductivity2014/papers.htm}},
9625  year		= {2013},
9626  petsc_uses	= {KSP}
9627}
9628
9629@Article{	  jzhaoyliwkliu15,
9630  author	= {J. Zhao and Y. Li and W.K. Liu},
9631  title		= {Predicting band structure of 3{D} mechanical metamaterials with complex geometry
9632		  via {XFEM}},
9633  journal	= {Computational Mechanics},
9634  year		= {2015},
9635  url		= {http://link.springer.com/article/10.1007/s00466-015-1129-2},
9636  petsc_uses	= {KSP}
9637}
9638
9639@Article{	  alisic14,
9640  author	= {L. Alisic and J.F. Rudge and R.F. Katz and G. Wells and S. Rhebergen},
9641  title		= {Compaction around a rigid, circular inclusion in partially molten rock},
9642  journal	= {J. Geophys. Res.},
9643  year		= {2014},
9644  volume	= {119},
9645  number	= {7},
9646  pages		= {5903-5920},
9647  doi		= {10.1002/2013JB010906},
9648  petsc_uses	= {KSP}
9649}
9650
9651@Article{	  rhebergen14,
9652  author	= {S. Rhebergen and G. Wells and R.F. Katz and A. Wathen},
9653  title		= {Analysis of block preconditioners for models of coupled magma mantle dynamics},
9654  journal	= {SIAM J. Sci. Comp.},
9655  year		= {2014},
9656  volume	= {36},
9657  number	= {4},
9658  pages		= {1960-1977},
9659  doi		= {10.1137/130946678},
9660  petsc_uses	= {KSP}
9661}
9662
9663@Article{	  allwright14,
9664  author	= {J. Allwright and R.F. Katz},
9665  title		= {Pipe Poiseuille flow of viscously anisotropic, partially molten rock},
9666  journal	= {Geophys. J. Int.},
9667  year		= {2014},
9668  volume	= {199},
9669  number	= {3},
9670  pages		= {1608--1624},
9671  doi		= {10.1093/gji/ggu345},
9672  petsc_uses	= {KSP}
9673}
9674
9675@Misc{		  gropp10,
9676  author	= {William D. Gropp},
9677  title		= {Update on libraries for {B}lue {W}aters},
9678  address	= {Bordeaux, France},
9679  year		= {2010},
9680  url		= {http://jointlab.ncsa.illinois.edu/events/workshop3/pdf/presentations/Gropp-Update-on-Libraries.pdf},
9681  petsc_uses	= {KSP}
9682}
9683
9684@Article{	  ssm2016,
9685  author	= {P. Sanan and S.M. Schnepp and D.A. May},
9686  title		= {Pipelined, Flexible {Krylov} Subspace Methods},
9687  journal	= {SIAM Journal on Scientific Computing},
9688  volume	= {38},
9689  number	= {5},
9690  pages		= {C441-C470},
9691  year		= {2016},
9692  doi		= {10.1137/15M1049130},
9693  petsc_uses	= {KSP}
9694}
9695
9696@InProceedings{	  mayknepley2017,
9697  title		= {{DMSwarm}: Particles in {PETSc}},
9698  author	= {Dave A May and Matthew G Knepley},
9699  booktitle	= {EGU General Assembly Conference Abstracts},
9700  volume	= {19},
9701  pages		= {10133},
9702  year		= {2017},
9703  petsc_uses	= {KSP}
9704}
9705
9706@InProceedings{	  adamsbrownknepley2013,
9707  author	= {Mark F. Adams and Jed Brown and Matthew G. Knepley},
9708  title		= {Low-communication techniques for extreme-scale multilevel solvers},
9709  booktitle	= {Exascale Mathematics Workshop, Aug 21--22, Washington, DC},
9710  organization	= {DOE Office of Advanced Scientific Computing Research},
9711  year		= {2013},
9712  petsc_uses	= {KSP}
9713}
9714
9715@Article{	  bhallagriffithknepleyadamsguy2017,
9716  title		= {Scalable smoothing strategies for a geometric multigrid method for the immersed
9717		  boundary equations},
9718  author	= {Amneet Pal Singh Bhalla and Boyce E. Griffith and Matthew G. Knepley and Mark F.
9719		  Adams and Robert D. Guy},
9720  journal	= {Advances in Computational Mathematics},
9721  eprint	= {1612.02208},
9722  note		= {In review},
9723  year		= {2017},
9724  petsc_uses	= {KSP}
9725}
9726
9727@Article{	  zampini2016pcbddc,
9728  title		= {{PCBDDC}: a class of robust dual-primal methods in {PETSc}},
9729  author	= {Zampini, Stefano},
9730  journal	= {SIAM Journal on Scientific Computing},
9731  volume	= {38},
9732  number	= {5},
9733  pages		= {S282--S306},
9734  year		= {2016},
9735  publisher	= {SIAM},
9736  petsc_uses	= {KSP}
9737}
9738
9739@Article{	  jolivetromanzampini2020,
9740  title		= {{KSPHPDDM} and {PCHPDDM}: extending {PETSc} with advanced {Krylov} methods and
9741		  robust multilevel overlapping {Schwarz} preconditioners},
9742  author	= {Pierre Jolivet and Jose Roman and Stefano Zampini},
9743  journal	= {Computers and Mathematics with Applications},
9744  volume	= {84},
9745  pages		= {277--295},
9746  year		= {2020}
9747}
9748
9749@Article{	  zampinitu2017,
9750  title		= {Multilevel {BDDC} deluxe algorithms with adaptive coarse spaces for flow in
9751		  porous media},
9752  author	= {Stefano Zampini and Xuemin Tu},
9753  journal	= {SIAM Journal of Scientific Computing},
9754  volume	= {39},
9755  number	= {4},
9756  pages		= {A1389--A1415},
9757  year		= {2017}
9758}
9759
9760@Article{	  ohwidlundzampinidohrmann2017,
9761  title		= {{BDDC} algorithms with deluxe scaling and adaptive selection of primal
9762		  constraints for {Raviart-Thomas} vector fields},
9763  author	= {D.-S. Oh and Olof B. Widlund and Stefano Zampini and Clark Dohrmann},
9764  journal	= {Mathematics of Computation},
9765  volume	= {87},
9766  number	= {310},
9767  pages		= {659--692},
9768  year		= {2017}
9769}
9770
9771@Article{	  veigapavarinoscacchiwidlundzampini2016,
9772  title		= {Adaptive selection of primal constraints for isogeometric {BDDC} deluxe
9773		  preconditioners},
9774  author	= {L. Beirao Da Veiga and Luca F. Pavarino and S. Scacchi and Olof B. Widlund and
9775		  Stefano Zampini},
9776  journal	= {SIAM Journal of Scientific Computing},
9777  volume	= {39},
9778  number	= {1},
9779  pages		= {A281--A302},
9780  year		= {2016}
9781}
9782
9783@Article{	  pavarinoscacchiwidlundzampini2018,
9784  title		= {Isogeometric {BDDC} deluxe preconditioners for linear elasticity for isogeometric
9785		  analysis},
9786  author	= {Luca F. Pavarino and S. Scacchi and Olof B. Widlund and Stefano Zampini},
9787  journal	= {Mathematical Models and Methods in Applied Sciences},
9788  volume	= {28},
9789  number	= {7},
9790  pages		= {1337--1370},
9791  year		= {2018}
9792}
9793
9794@Article{	  bergervergiatwaisman2017,
9795  title		= {An overlapping Domain Decomposition preconditioning method for monolithic
9796		  solution of shear bands},
9797  author	= {Luc Berger-Vergiat and Haim Waisman},
9798  journal	= {Computer Methods in Applied Mechanics and Engineering},
9799  volume	= {318},
9800  pages		= {33--60},
9801  year		= {2017},
9802  petsc_uses	= {KSP}
9803}
9804
9805@Article{	  abhyankarmaldonadosmithzhang2020,
9806  title		= {{PETSc} {DMNetwork}: A Library for Scalable Network PDE-Based Multiphysics
9807		  Simulations},
9808  author	= {S. Abhyankar and G. Betrie and D.A. Maldonado and L.C. McInnes and B. Smith and
9809		  H. Zhang},
9810  journal	= {ACM Transactions on Mathematical Software},
9811  volume	= {46},
9812  number	= {1},
9813  year		= {2020},
9814  doi		= {10.1145/3344587},
9815  petsc_uses	= {KSP}
9816}
9817
9818@InProceedings{	  zhangellpack2018,
9819  author	= {Hong Zhang and Richard T. Mills and Karl Rupp and Barry F. Smith},
9820  title		= {Vectorized Parallel Sparse Matrix-Vector Multiplication in {PETSc} Using
9821		  {AVX-512}},
9822  booktitle	= {Proceedings of the 47th International Conference on Parallel Processing},
9823  year		= {2018},
9824  petsc_uses	= {KSP}
9825}
9826
9827@Misc{		  petsc-user-meetings:website,
9828  title		= {{PETSc User Meetings}},
9829  key		= {PETSc User Meetings},
9830  howpublished	= {\url{https://petsc.org/release/community/meetings/meeting}},
9831  petsc_uses	= {KSP}
9832}
9833
9834@Article{	  flexible-bicgstab-chen16,
9835  title		= {Analysis and Practical Use of Flexible {BiCGStab}},
9836  author	= {J. Chen and L.C. McInnes and H. Zhang},
9837  journal	= {Journal of Scientific Computing},
9838  volume	= {68},
9839  number	= {2},
9840  month		= {July},
9841  year		= {2016},
9842  pages		= {803--825},
9843  doi		= {10.1007/s10915-015-0159-4},
9844  petsc_uses	= {KSP}
9845}
9846
9847@Misc{		  petsc-extensibility2016,
9848  author	= {M. Knepley and D. A. May and J. Brown and B. Smith},
9849  title		= {{Extensibility in PETSc}},
9850  note		= {SIAM News, available via
9851		  \url{https://sinews.siam.org/Details-Page/extensibility-in-petsc}},
9852  year		= {2016},
9853  petsc_uses	= {KSP}
9854}
9855
9856@Misc{		  error-estimation-whitepaper2017,
9857  author	= {E. Constantinescu and O. Marin and T. Munson and B. Smith and H. Zhang},
9858  title		= {End-to-end error estimation and control},
9859  note		= {whitepaper for 2017 ASCR Applied Mathematics PI Meeting},
9860  doi		= {10.6084/m9.figshare.5339866},
9861  year		= {2017},
9862  petsc_uses	= {KSP}
9863}
9864
9865@Misc{		  petsc-user-support15,
9866  title		= {On the Evolution of User Support Topics in Computational Science and Engineering
9867		  Software},
9868  author	= {K. Rupp and S. Balay and J. Brown and M. Knepley and L. C. McInnes and B. Smith},
9869  note		= {Workshop on CSE Software Sustainability and Productivity (CSESSP) Challenges, Oct
9870		  15-16, 2015},
9871  year		= {2015},
9872  petsc_uses	= {KSP}
9873}
9874
9875@InBook{	  petsc-mixed-language-support2016,
9876  title		= {Numerical Library Support for High-Performance Mixed Language Applications and
9877		  Legacy Code},
9878  author	= {S. Balay and J. Brown and M. Knepley and L.C. McInnes and B. Smith},
9879  booktitle	= {Software Engineering for Science},
9880  editors	= {J. Carver et al.},
9881  publisher	= {CRC Press},
9882  pages		= {201--214},
9883  year		= {2016},
9884  petsc_uses	= {KSP}
9885}
9886
9887@InProceedings{	  konolige2018parallel,
9888  title		= {A Parallel Solver for Graph {L}aplacians},
9889  author	= {Tristan Konolige and Jed Brown},
9890  booktitle	= {Proceedings of the Platform for Advanced Scientific Computing (PASC)},
9891  doi		= {10.1145/3218176.3218227},
9892  note		= {Best Paper Award},
9893  archiveprefix	= {arXiv},
9894  eprint	= {1705.06266},
9895  year		= {2018},
9896  petsc_uses	= {KSP}
9897}
9898
9899@InProceedings{	  werner-kimn2019,
9900  title		= {Parallel implementation of AC optimal power flow and time-constrained optimal
9901		  power flow using high-performance computing},
9902  author	= {Alex Werner and Kapil Duwadi and Nicholas Stegmeier and Timothy M. Hansen and
9903		  Jung-Han Kimn},
9904  booktitle	= {IEEE 9th Annual Computing and Communication Workshop and Conference (CCWC 2019)},
9905  note		= {Best Paper in Track},
9906  year		= {2019},
9907  petsc_uses	= {KSP}
9908}
9909
9910@MastersThesis{	  rinaldo-ceresoli18,
9911  author	= {Stefano Guido Rinaldo and Andrea Ceresoli},
9912  title		= {Newton–Krylov–Schwarz Methods for Distributed Power Flow and Related
9913		  Applications},
9914  school	= {Politecnico di Milano},
9915  year		= {2018},
9916  month		= {April},
9917  petsc_uses	= {KSP}
9918}
9919
9920@Article{	  sananschneppmay2016,
9921  title		= {Pipelined, Flexible {K}rylov Subspace Methods},
9922  author	= {P. Sanan and S. M. Schnepp and D. A. May},
9923  journal	= {SIAM Journal on Scientific Computing},
9924  volume	= {38},
9925  number	= {5},
9926  pages		= {C441-C470},
9927  year		= {2016},
9928  doi		= {10.1137/15M1049130},
9929  petsc_uses	= {KSP}
9930}
9931
9932@Article{	  petscsf2022,
9933  author	= {Zhang, Junchao and Brown, Jed and Balay, Satish and Faibussowitsch, Jacob and
9934		  Knepley, Matthew and Marin, Oana and Mills, Richard Tran and Munson, Todd and
9935		  Smith, Barry F. and Zampini, Stefano},
9936  journal	= {IEEE Transactions on Parallel and Distributed Systems},
9937  title		= {The {PetscSF} Scalable Communication Layer},
9938  year		= {2022},
9939  volume	= {33},
9940  number	= {4},
9941  pages		= {842-853},
9942  doi		= {10.1109/TPDS.2021.3084070}
9943}
9944
9945@Article{	  brandt2000,
9946  title		= {General highly accurate algebraic coarsening},
9947  author	= {Achi Brandt},
9948  journal	= {Electronic Transactions on Numerical Analysis},
9949  volume	= {10},
9950  number	= {9680},
9951  pages		= {1--20},
9952  issn		= {10689613},
9953  year		= {2000}
9954}
9955
9956@Article{	  dalcinpazklercosimo2011,
9957  title		= {Parallel distributed computing using Python},
9958  author	= {Lisandro D. Dalcin and Rodrigo R. Paz and Pablo A. Kler and Alejandro Cosimo},
9959  journal	= {Advances in Water Resources},
9960  volume	= {34},
9961  number	= {9},
9962  pages		= {1124 - 1139},
9963  note		= {New Computational Methods and Software Tools},
9964  issn		= {0309-1708},
9965  doi		= {10.1016/j.advwatres.2011.04.013},
9966  year		= {2011}
9967}
9968
9969@Article{	  behnelbradshawcitrodalcinseljebotnsmith2011,
9970  title		= {Cython: The Best of Both Worlds},
9971  author	= {Behnel,Stefan and Bradshaw,Robert and Citro,Craig and Dalcin,Lisandro and
9972		  Seljebotn,Dag Sverre and Smith,Kurt },
9973  journal	= {Computing in Science \& Engineering},
9974  volume	= {13},
9975  number	= {2},
9976  pages		= {31-39},
9977  doi		= {10.1109/MCSE.2010.118},
9978  year		= {2011}
9979}
9980
9981@Article{	  dalcinpazstorti2005,
9982  title		= {MPI for Python},
9983  author	= {Lisandro Dalcín and Rodrigo Paz and Mario Storti},
9984  journal	= {Journal of Parallel and Distributed Computing},
9985  volume	= {65},
9986  number	= {9},
9987  pages		= {1108 - 1115},
9988  issn		= {0743-7315},
9989  doi		= {10.1016/j.jpdc.2005.03.010},
9990  year		= {2005}
9991}
9992
9993@Article{	  dalcincolliervignalcortescalo2016,
9994  title		= {PetIGA: A framework for high-performance isogeometric analysis},
9995  author	= {Lisandro Dalcin and Nathan Collier and P. Vignal and A.M.A. Cortes and Victor M.
9996		  Calo},
9997  journal	= {Computer Methods in Applied Mechanics and Engineering},
9998  volume	= {308},
9999  pages		= {151 - 181},
10000  issn		= {0045-7825},
10001  doi		= {10.1016/j.cma.2016.05.011},
10002  year		= {2016}
10003}
10004
10005@Article{	  collierpardodalcinpaszynskicalo2012,
10006  title		= {The cost of continuity: A study of the performance of isogeometric finite
10007		  elements using direct solvers},
10008  author	= {Nathan Collier and David Pardo and Lisandro Dalcin and Maciej Paszynski and V.M.
10009		  Calo},
10010  journal	= {Computer Methods in Applied Mechanics and Engineering},
10011  volume	= {213-216},
10012  pages		= {353 - 361},
10013  issn		= {0045-7825},
10014  doi		= {10.1016/j.cma.2011.11.002},
10015  year		= {2012}
10016}
10017
10018@Article{	  collierdalcinpardocalo2013,
10019  title		= {The Cost of Continuity: Performance of Iterative Solvers on Isogeometric Finite
10020		  Elements},
10021  author	= {Nathan Collier and Lisandro Dalcin and David Pardo and Victor M. Calo},
10022  journal	= {SIAM Journal on Scientific Computing},
10023  volume	= {35},
10024  number	= {2},
10025  pages		= {A767-A784},
10026  doi		= {10.1137/120881038},
10027  year		= {2013}
10028}
10029
10030@Article{	  dunning2017jump,
10031  title		= {{JuMP}: a modeling language for mathematical optimization},
10032  author	= {Dunning, Iain and Huchette, Joey and Lubin, Miles},
10033  journal	= {SIAM Review},
10034  volume	= {59},
10035  number	= {2},
10036  pages		= {295--320},
10037  year		= {2017},
10038  publisher	= {SIAM}
10039}
10040
10041@InProceedings{	  prudencioschulz2011,
10042  title		= {The parallel {C++} statistical library {QUESO}: Quantification of Uncertainty for
10043		  Estimation, Simulation and Optimization},
10044  author	= {Ernesto E Prudencio and Karl W Schulz},
10045  booktitle	= {European Conference on Parallel Processing},
10046  pages		= {398--407},
10047  year		= {2011}
10048}
10049
10050@Misc{		  rol-website,
10051  key		= {ROL},
10052  title		= {{Rapid Optimization Library} Website},
10053  howpublished	= {\url{https://trilinos.org/packages/rol}},
10054  year		= {2018}
10055}
10056
10057@Article{	  more1994line,
10058  title		= {Line search algorithms with guaranteed sufficient decrease},
10059  author	= {Mor{\'e}, Jorge J and Thuente, David J},
10060  journal	= {ACM Transactions on Mathematical Software},
10061  volume	= {20},
10062  number	= {3},
10063  pages		= {286--307},
10064  year		= {1994},
10065  publisher	= {ACM}
10066}
10067
10068@Article{	  griewank2000algorithm,
10069  title		= {Algorithm 799: revolve: an implementation of checkpointing for the reverse or
10070		  adjoint mode of computational differentiation},
10071  author	= {Griewank, Andreas and Walther, Andrea},
10072  journal	= {ACM Transactions on Mathematical Software},
10073  volume	= {26},
10074  number	= {1},
10075  pages		= {19--45},
10076  year		= {2000},
10077  publisher	= {ACM}
10078}
10079
10080@Article{	  metcalf2011seven,
10081  title		= {The seven ages of fortran},
10082  author	= {Metcalf, Michael},
10083  journal	= {Journal of Computer Science \& Technology},
10084  volume	= {11},
10085  year		= {2011}
10086}
10087
10088@Article{	  giraldo_2013,
10089  title		= {Implicit-explicit formulations of a three-dimensional nonhydrostatic unified
10090		  model of the atmosphere {(NUMA)}},
10091  author	= {F.X. Giraldo and J.F. Kelly and E.M. Constantinescu},
10092  journal	= {SIAM Journal on Scientific Computing},
10093  year		= {2013},
10094  number	= {5},
10095  pages		= {B1162-B1194},
10096  volume	= {35},
10097  doi		= {10.1137/120876034}
10098}
10099
10100@Article{	  constantinescu_tr2016b,
10101  author	= {Constantinescu, E.M.},
10102  title		= {Estimating Global Errors in Time Stepping},
10103  journal	= {ArXiv e-prints},
10104  archiveprefix	= {arXiv},
10105  eprint	= {1503.05166},
10106  primaryclass	= {math.NA},
10107  keywords	= {Mathematics - Numerical Analysis, 65L05, 65L06, 65L20, 65L70},
10108  year		= {2016},
10109  month		= mar,
10110  adsurl	= {http://adsabs.harvard.edu/abs/2015arXiv150305166C},
10111  adsnote	= {Provided by the SAO/NASA Astrophysics Data System}
10112}
10113
10114@Article{	  pareschi_2005,
10115  title		= {Implicit-Explicit {R}unge-{K}utta Schemes and Applications to Hyperbolic Systems
10116		  with Relaxation},
10117  author	= {L. Pareschi and G. Russo},
10118  journal	= {Journal of Scientific Computing},
10119  year		= {2005},
10120  number	= {1},
10121  pages		= {129--155},
10122  volume	= {25}
10123}
10124
10125@Article{	  kennedy_2003,
10126  title		= {Additive {R}unge-{K}utta schemes for convection-diffusion-reaction equations},
10127  author	= {C.A. Kennedy and M.H. Carpenter},
10128  journal	= {Appl. Numer. Math.},
10129  year		= {2003},
10130  number	= {1-2},
10131  pages		= {139--181},
10132  volume	= {44},
10133  doi		= {10.1016/S0168-9274(02)00138-1},
10134  publisher	= {Elsevier Science Publishers B. V.}
10135}
10136
10137@Unpublished{	  boscarino_tr2011,
10138  title		= {Implicit-Explicit {R}unge-{K}utta schemes for hyperbolic systems and kinetic
10139		  equations in the diffusion limit},
10140  author	= {Boscarino, S. and Pareschi, L. and Russo, G.},
10141  note		= {Arxiv preprint arXiv:1110.4375},
10142  year		= {2011}
10143}
10144
10145@Article{	  ascher_1997,
10146  title		= {Implicit-explicit {R}unge-{K}utta methods for time-dependent partial differential
10147		  equations},
10148  author	= {U.M. Ascher and S.J. Ruuth and R.J. Spiteri},
10149  journal	= {Applied Numerical Mathematics},
10150  year		= {1997},
10151  pages		= {151--167},
10152  volume	= {25}
10153}
10154
10155@Book{		  ascherpetzold1998,
10156  title		= {Computer methods for ordinary differential equations and differential-algebraic
10157		  equations},
10158  author	= {Uri M Ascher and Linda R Petzold},
10159  volume	= {61},
10160  publisher	= {SIAM},
10161  year		= {1998}
10162}
10163
10164@Article{	  colomesbadia2016,
10165  title		= {Segregated {Runge}--{Kutta} methods for the incompressible {Navier}--{Stokes}
10166		  equations},
10167  author	= {Oriol Colom{\'e}s and Santiago Badia},
10168  journal	= {International Journal for Numerical Methods in Engineering},
10169  volume	= {105},
10170  number	= {5},
10171  pages		= {372--400},
10172  year		= {2016}
10173}
10174
10175@Article{	  sandu_1997,
10176  title		= {Benchmarking stiff ode solvers for atmospheric chemistry problems {II}:
10177		  {R}osenbrock solvers},
10178  author	= {A. Sandu and J.G. Verwer and J.G. Blom and E.J. Spee and G.R. Carmichael and F.A.
10179		  Potra},
10180  journal	= {Atmospheric Environment},
10181  year		= {1997},
10182  number	= {20},
10183  pages		= {3459--3472},
10184  volume	= {31},
10185  abstract	= {In the numerical simulation of atmospheric transport-chemistry processes, a major
10186		  task is the integration of the stiff systems of ordinary differential equations
10187		  describing the chemical transformations. It is therefore of interest to
10188		  systematically search for stiff solvers which can be identified as close to
10189		  optimal for atmospheric applications. In this paper we continue our investigation
10190		  from Sandu et al. (1996, CWI Report NM-R9603 and Report in Comput. Math., No. 85)
10191		  and compare eight solvers on a set of seven box-models used in present day models.
10192		  The focus is on Rosenbrock solvers. These turn out to be very well suited for our
10193		  application when they are provided with highly efficient sparse matrix techniques
10194		  to economize on the linear algebra. Two of the Rosenbrock solvers tested are from
10195		  the literature, viz. and 4, and two are new and specially developed for air
10196		  quality applications, viz. 3 and 3. }
10197}
10198
10199@Article{	  rang_2005,
10200  title		= {New {R}osenbrock {W}-methods of order 3 for partial differential algebraic
10201		  equations of index 1},
10202  author	= {Rang, J. and Angermann, L.},
10203  journal	= {BIT Numerical Mathematics},
10204  year		= {2005},
10205  number	= {4},
10206  pages		= {761--787},
10207  volume	= {45},
10208  publisher	= {Springer}
10209}
10210
10211@Article{	  gottliebketchesonshu2009,
10212  author	= {Sigal Gottlieb and David I. Ketcheson and Chi Wang Shu},
10213  title		= {{High order strong stability preserving time discretizations}},
10214  journal	= {Journal of Scientific Computing},
10215  volume	= {38},
10216  number	= {3},
10217  pages		= {251--289},
10218  doi		= {10.1007/s10915-008-9239-z},
10219  year		= {2009}
10220}
10221
10222@Article{	  ketcheson_2008,
10223  title		= {Highly Efficient Strong Stability-Preserving {R}unge--{K}utta Methods with
10224		  Low-Storage Implementations},
10225  author	= {D.I. Ketcheson},
10226  journal	= {SIAM Journal on Scientific Computing},
10227  year		= {2008},
10228  number	= {4},
10229  pages		= {2113--2136},
10230  volume	= {30},
10231  doi		= {10.1137/07070485X},
10232  keywords	= {method of lines, strong stability-preserving, monotonicity, low-storage,
10233		  RungeKutta methods},
10234  publisher	= {SIAM}
10235}
10236
10237@Article{	  jansen_2000,
10238  title		= {A generalized-alpha method for integrating the filtered {N}avier--{S}tokes
10239		  equations with a stabilized finite element method},
10240  author	= {Jansen, K.E. and Whiting, C.H. and Hulbert, G.M.},
10241  journal	= {Computer Methods in Applied Mechanics and Engineering},
10242  year		= {2000},
10243  number	= {3},
10244  pages		= {305--319},
10245  volume	= {190},
10246  publisher	= {Elsevier}
10247}
10248
10249@Article{	  butcher_2007,
10250  title		= {Error propagation of general linear methods for ordinary differential equations},
10251  author	= {J.C. Butcher and Z. Jackiewicz and W.M. Wright},
10252  journal	= {Journal of Complexity},
10253  year		= {2007},
10254  number	= {4-6},
10255  pages		= {560--580},
10256  volume	= {23},
10257  abstract	= {We discuss error propagation for general linear methods for ordinary differential
10258		  equations up to terms of order p+2, where p is the order of the method. These
10259		  results are then applied to the estimation of local discretization errors for
10260		  methods of order p and for the adjacent order p+1. The results of numerical
10261		  experiments confirm the reliability of these estimates. This research has
10262		  applications in the design of robust stepsize and order changing strategies for
10263		  algorithms based on general linear methods.},
10264  doi		= {10.1016/j.jco.2007.01.009},
10265  issn		= {0885-064X}
10266}
10267
10268@Article{	  constantinescu_a2010a,
10269  title		= {Extrapolated implicit-explicit time stepping},
10270  author	= {E.M. Constantinescu and A. Sandu},
10271  journal	= {SIAM Journal on Scientific Computing},
10272  year		= {2010},
10273  number	= {6},
10274  pages		= {4452-4477},
10275  volume	= {31},
10276  comment	= {Preprint \# ANL/MCS-P1612-0409},
10277  doi		= {10.1137/080732833}
10278}
10279
10280@InProceedings{	  devito2011liszt,
10281  title		= {Liszt: a domain specific language for building portable mesh-based PDE solvers},
10282  author	= {DeVito, Zachary and Joubert, Niels and Palacios, Francisco and Oakley, Stephen
10283		  and Medina, Montserrat and Barrientos, Mike and Elsen, Erich and Ham, Frank and
10284		  Aiken, Alex and Duraisamy, Karthik and others},
10285  booktitle	= {Proceedings of 2011 International Conference for High Performance Computing,
10286		  Networking, Storage and Analysis},
10287  pages		= {9},
10288  year		= {2011},
10289  organization	= {ACM}
10290}
10291
10292@Article{	  devito2011designing,
10293  title		= {Designing the Language Liszt for Building Portable Mesh-based PDE Solvers},
10294  author	= {DeVito, Zachary and Hanrahan, Pat},
10295  journal	= {Scientific Discovery through Advanced Computing Program (SciDAC)},
10296  year		= {2011}
10297}
10298
10299@Misc{		  pgasintro,
10300  author	= {Tim Stitt},
10301  title		= {An Introduction to the Partitioned Global Address Space (PGAS) Programming
10302		  Model},
10303  note		= {\url{http://cnx.org/content/m20649/latest/}}
10304}
10305
10306@InProceedings{	  el2006upc,
10307  title		= {UPC: unified parallel C},
10308  author	= {El-Ghazawi, Tarek and Smith, Lauren},
10309  booktitle	= {Proceedings of the 2006 ACM/IEEE conference on Supercomputing},
10310  pages		= {27},
10311  year		= {2006},
10312  organization	= {ACM}
10313}
10314
10315@InProceedings{	  numrich1998co,
10316  title		= {Co-Array Fortran for parallel programming},
10317  author	= {Numrich, Robert W and Reid, John},
10318  booktitle	= {ACM Sigplan Fortran Forum},
10319  volume	= {17},
10320  number	= {2},
10321  pages		= {1--31},
10322  year		= {1998},
10323  organization	= {ACM}
10324}
10325
10326@Article{	  aiken1997titanium,
10327  title		= {Titanium: A high-performance Java dialect},
10328  author	= {Aiken, Alex and Colella, Phil and Gay, David and Graham, Susan and Hilfinger,
10329		  Paul and Krishnamurthy, Arvind and Liblit, Ben and Miyamoto, Carleton and Pike,
10330		  Geoff and Semenzato, Luigi and others},
10331  year		= {1997}
10332}
10333
10334@Article{	  charles2005x10,
10335  title		= {X10: an object-oriented approach to non-uniform cluster computing},
10336  author	= {Charles, Philippe and Grothoff, Christian and Saraswat, Vijay and Donawa,
10337		  Christopher and Kielstra, Allan and Ebcioglu, Kemal and Von Praun, Christoph and
10338		  Sarkar, Vivek},
10339  journal	= {Acm Sigplan Notices},
10340  volume	= {40},
10341  number	= {10},
10342  pages		= {519--538},
10343  year		= {2005},
10344  publisher	= {ACM}
10345}
10346
10347@Article{	  chamberlain2007parallel,
10348  title		= {Parallel programmability and the chapel language},
10349  author	= {Chamberlain, Bradford L and Callahan, David and Zima, Hans P},
10350  journal	= {International Journal of High Performance Computing Applications},
10351  volume	= {21},
10352  number	= {3},
10353  pages		= {291--312},
10354  year		= {2007},
10355  publisher	= {SAGE Publications}
10356}
10357
10358@InProceedings{	  charmppoopsla93,
10359  author	= {{Kal\'{e}}, L.V. and Krishnan, S.},
10360  title		= {{CHARM++: A Portable Concurrent Object Oriented System Based on C++}},
10361  editor	= {Paepcke, A.},
10362  fulleditor	= {Paepcke, Andreas},
10363  pages		= {91--108},
10364  month		= {September},
10365  year		= {1993},
10366  booktitle	= {{Proceedings of OOPSLA'93}},
10367  publisher	= {{ACM Press}}
10368}
10369
10370@InProceedings{	  hewitt1973universal,
10371  title		= {A universal modular actor formalism for artificial intelligence},
10372  author	= {Hewitt, Carl and Bishop, Peter and Steiger, Richard},
10373  booktitle	= {Proceedings of the 3rd international joint conference on Artificial
10374		  intelligence},
10375  pages		= {235--245},
10376  year		= {1973},
10377  organization	= {Morgan Kaufmann Publishers Inc.}
10378}
10379
10380@Book{		  yonezawa1990abcl,
10381  title		= {ABCL: an object-oriented concurrent system},
10382  author	= {Yonezawa, Akinori},
10383  year		= {1990},
10384  publisher	= {MIT press}
10385}
10386
10387@InProceedings{	  dally1988object,
10388  title		= {Object-oriented concurrent programming in CST},
10389  author	= {Dally, William J and Chien, Andrew A},
10390  booktitle	= {Proceedings of the third conference on Hypercube concurrent computers and
10391		  applications: Architecture, software, computer systems, and general issues-Volume
10392		  1},
10393  pages		= {434--439},
10394  year		= {1988},
10395  organization	= {ACM}
10396}
10397
10398@Article{	  grimshaw1993easy,
10399  title		= {Easy-to-use object-oriented parallel processing with Mentat},
10400  author	= {Grimshaw, Andrew S.},
10401  journal	= {Computer},
10402  volume	= {26},
10403  number	= {5},
10404  pages		= {39--51},
10405  year		= {1993},
10406  publisher	= {IEEE}
10407}
10408
10409@InProceedings{	  gannon1991object,
10410  title		= {Object oriented parallelism: pC++ ideas and experiments},
10411  author	= {Gannon, Dennis and Lee, JK},
10412  booktitle	= {Proceedings of},
10413  pages		= {13--23},
10414  year		= {1991}
10415}
10416
10417@InProceedings{	  lau1992object,
10418  title		= {An object-oriented class library for scalable parallel heuristic search},
10419  author	= {Lau, Wing-cheong and Singh, Vineet},
10420  booktitle	= {ECOOP’92 European Conference on Object-Oriented Programming},
10421  pages		= {252--267},
10422  year		= {1992},
10423  organization	= {Springer}
10424}
10425
10426@Book{		  chase1989amber,
10427  title		= {The Amber system: Parallel programming on a network of multiprocessors},
10428  author	= {Chase, Jeffery and Amador, Franz and Lazowska, Edward and Levy, Henry and
10429		  Littlefield, Richard},
10430  volume	= {23},
10431  number	= {5},
10432  year		= {1989},
10433  publisher	= {ACM}
10434}
10435
10436@InProceedings{	  kaiser2009parallex,
10437  title		= {Parallex an advanced parallel execution model for scaling-impaired applications},
10438  author	= {Kaiser, Hartmut and Brodowicz, Maciej and Sterling, Thomas},
10439  booktitle	= {Parallel Processing Workshops, 2009. ICPPW'09. International Conference on},
10440  pages		= {394--401},
10441  year		= {2009},
10442  organization	= {IEEE}
10443}
10444
10445@TechReport{	  ipm,
10446  author	= {Barry F. Smith},
10447  title		= {A New Parallel Programming Model for Computer Simulation},
10448  institution	= {Argonne National Laboratory},
10449  year		= {2014},
10450  number	= {ANL/MCS-P5135-0414}
10451}
10452
10453@Article{	  groppsnir,
10454  author	= {William Gropp and Marc Snir},
10455  title		= {Programming for Exascale Computers},
10456  journal	= {Computing in Science and Engineering},
10457  volume	= {15},
10458  number	= {6},
10459  issn		= {1521-9615},
10460  year		= {2013},
10461  pages		= {27-35},
10462  doi		= {10.1109/MCSE.2013.96},
10463  publisher	= {IEEE Computer Society},
10464  address	= {Los Alamitos, CA}
10465}
10466
10467@Book{		  mpi3,
10468  title		= {MPI: A Message-Passing Interface Standard, Version 3.0},
10469  author	= {Message Passing Interface Forum},
10470  year		= {2012},
10471  publisher	= {High Performance Computing Center Stuttgart (HLRS)}
10472}
10473
10474@Book{		  openmp4,
10475  title		= {OpenMP Application Program Interface, Version 4.0},
10476  year		= {2013},
10477  publisher	= {OpenMP Architecture Review Board}
10478}
10479
10480@InProceedings{	  hartono2009annotation,
10481  title		= {Annotation-based empirical performance tuning using {Orio}},
10482  author	= {Hartono, Albert and Norris, Boyana and Sadayappan, Ponnuswamy},
10483  booktitle	= {Parallel \& Distributed Processing, 2009. IPDPS 2009. IEEE International
10484		  Symposium on},
10485  pages		= {1--11},
10486  year		= {2009},
10487  organization	= {IEEE}
10488}
10489
10490@Book{		  toselli2005domain,
10491  title		= {Domain Decomposition Methods: Algorithms and Theory},
10492  author	= {Toselli, Andrea and Widlund, Olof B},
10493  volume	= {34},
10494  year		= {2005},
10495  publisher	= {Springer}
10496}
10497
10498@InBook{	  st2016,
10499  author	= {Barry F. Smith and Xumin Tu},
10500  chapter	= {Domain Decomposition},
10501  title		= {Encyclopedia of Applied and Computational Mathematics},
10502  bookeditor	= {B. Engquist},
10503  publisher	= {Springer},
10504  pages		= {375--381},
10505  year		= {2016}
10506}
10507
10508@TechReport{	  saws,
10509  author	= {Matt Otten and Jed Brown and Barry F. Smith},
10510  title		= {Scientific Application Web Server {(SAWs)} Users Manual},
10511  institution	= {Argonne National Laboratory},
10512  year		= {2013}
10513}
10514
10515@Article{	  smith1997domain,
10516  title		= {Domain Decomposition Methods for Partial Differential Equations},
10517  author	= {Smith, B.F.},
10518  journal	= {ICASE LARC Interdisciplinary Series in Science and Engineering},
10519  volume	= {4},
10520  pages		= {225--244},
10521  year		= {1997},
10522  publisher	= {Citeseer}
10523}
10524
10525@Article{	  spillane2011abstract,
10526  title		= {Abstract robust coarse spaces for systems of {PDEs} via generalized eigenproblems
10527		  in the overlaps},
10528  author	= {Spillane, N and Dolean, V and Hauret, P and Nataf, F and Pechstein, C and
10529		  Scheichl, R},
10530  journal	= {NuMa-Report},
10531  volume	= {7},
10532  pages		= {2007},
10533  year		= {2011}
10534}
10535
10536@InProceedings{	  jolivet2013scalabledd,
10537  title		= {Scalable domain decomposition preconditioners for heterogeneous elliptic
10538		  problems},
10539  author	= {Jolivet, Pierre and Hecht, Fr{\'e}d{\'e}ric and Nataf, Fr{\'e}d{\'e}ric and
10540		  Prud'homme, Christophe},
10541  booktitle	= {Proceedings of SC13: International Conference for High Performance Computing,
10542		  Networking, Storage and Analysis},
10543  pages		= {80},
10544  year		= {2013},
10545  organization	= {ACM}
10546}
10547
10548@Book{		  ks2000,
10549  author	= {D. Kinderlehrer and G. Stampacchia},
10550  publisher	= {Society for Industrial Mathematics},
10551  title		= {An Introduction to Variational Inequalities and Their Applications},
10552  year		= {2000}
10553}
10554
10555@Article{	  wan2000energy,
10556  title		= {An energy-minimizing interpolation for robust multigrid methods},
10557  author	= {Wan, W.L. and Chan, T.F. and Smith, B. F.},
10558  journal	= {SIAM Journal on Scientific Computing},
10559  volume	= {21},
10560  number	= {4},
10561  pages		= {1632--1649},
10562  year		= {2000},
10563  publisher	= {Philadelphia, PA: SIAM, c1993-}
10564}
10565
10566@Article{	  chansmith1994,
10567  title		= {Domain decomposition and multigrid algorithms for elliptic problems on
10568		  unstructured meshes},
10569  author	= {Chan, T.F. and Smith, B.F.},
10570  journal	= {Electronic Transactions on Numerical Analysis},
10571  volume	= {2},
10572  pages		= {171--182},
10573  year		= {1994}
10574}
10575
10576@TechReport{	  proto-fsp,
10577  author	= {Venkatramani Balaji and Barry Smith and Brian Van Straalen and Priya Vashishta
10578		  and Michael Zarnstorff and Michael Zika},
10579  title		= {Report of the {Proto-FSP} {Assessment Panel for the FSP}},
10580  institution	= {Princeton Plasma Physics Laboratory},
10581  year		= {2010},
10582  url		= {http://www.pppl.gov/fsp/documents/Proto-FSPAssessmentReport.pdf}
10583}
10584
10585@Article{	  hirvijoki2021,
10586  title		= {Structure-preserving marker-particle discretizations of {Coulomb} collisions for
10587		  particle-in-cell codes},
10588  journal	= {Plasma Phys. Control. Fusion},
10589  author	= {Eero Hirvijoki},
10590  note		= {in press},
10591  doi		= {10.1088/1361-6587/abe884},
10592  year		= {2021}
10593}
10594
10595@Article{	  ipsen2001,
10596  author	= {Ilse C. F. Ipsen},
10597  journal	= {SIAM J. Sci. Comput.},
10598  pages		= {1050--1051},
10599  volume	= {23},
10600  publisher	= {SIAM},
10601  title		= {A Note on Preconditioning Nonsymmetric Matrices},
10602  year		= {2001}
10603}
10604
10605% Random papers on solvers for GPUs
10606@InProceedings{	  gpus-suck,
10607  author	= {Vuduc, R. and Chandramowlishwaran, A. and Choi, J. and Guney M. },
10608  title		= { On the Limits of {GPU} Acceleration},
10609  booktitle	= {HOTPAR: Proceedings of the 2nd USENIX Workshop on Hot Topics in Parallelism},
10610  year		= {2010},
10611  publisher	= {USENIX}
10612}
10613
10614@InProceedings{	  882364,
10615  author	= {Bolz, Jeff and Farmer, Ian and Grinspun, Eitan and Schr\"{o}oder, Peter},
10616  title		= {Sparse matrix solvers on the {GPU}: conjugate gradients and multigrid},
10617  booktitle	= {SIGGRAPH '03: ACM SIGGRAPH 2003 Papers},
10618  year		= {2003},
10619  isbn		= {1-58113-709-5},
10620  pages		= {917--924},
10621  location	= {San Diego, California},
10622  doi		= {10.1145/1201775.882364},
10623  publisher	= {ACM},
10624  address	= {New York, NY}
10625}
10626
10627@Conference{	  feng2008multigrid,
10628  author	= {Feng, Z. and Li, P.},
10629  booktitle	= {IEEE/ACM International Conference on Computer-Aided Design, 2008. ICCAD 2008},
10630  date-added	= {2010-08-19 15:57:06 -0500},
10631  date-modified	= {2010-08-19 15:57:06 -0500},
10632  pages		= {647--654},
10633  title		= {Multigrid on {GPU}: Tackling power grid analysis on parallel SIMT platforms},
10634  year		= {2008}
10635}
10636
10637@Conference{	  goodnight2003multigrid,
10638  author	= {Goodnight, N. and Woolley, C. and Lewin, G. and Luebke, D. and Humphreys, G.},
10639  booktitle	= {Proceedings of the ACM SIGGRAPH/EUROGRAPHICS conference on Graphics hardware},
10640  date-added	= {2010-08-19 15:45:20 -0500},
10641  date-modified	= {2010-08-19 15:45:20 -0500},
10642  organization	= {Eurographics Association},
10643  pages		= {102--111},
10644  title		= {A multigrid solver for boundary value problems using programmable graphics
10645		  hardware},
10646  year		= {2003}
10647}
10648
10649@Article{	  buatois2007concurrent,
10650  author	= {Buatois, L. and Caumon, G. and L{\'e}vy, B.},
10651  date-added	= {2010-08-19 15:45:02 -0500},
10652  date-modified	= {2010-08-19 15:45:02 -0500},
10653  journal	= {High Performance Computing and Communications},
10654  pages		= {358--371},
10655  publisher	= {Citeseer},
10656  title		= {Concurrent number cruncher: {A}n efficient sparse linear solver on the {GPU}},
10657  year		= {2007}
10658}
10659
10660@Article{	  joldes2010real,
10661  author	= {Joldes, G.R. and Wittek, A. and Miller, K.},
10662  date-added	= {2010-08-19 15:44:41 -0500},
10663  date-modified	= {2010-08-19 15:44:41 -0500},
10664  journal	= {Computer Methods in Applied Mechanics and Engineering},
10665  publisher	= {Elsevier},
10666  title		= {Real-time nonlinear finite element computations on {GPU}-application to
10667		  neurosurgical simulation},
10668  year		= {2010}
10669}
10670
10671@Misc{		  aharon2005gpu,
10672  author	= {Aharon, S.},
10673  date-added	= {2010-08-19 15:44:32 -0500},
10674  date-modified	= {2010-08-19 15:44:32 -0500},
10675  month		= apr # {~27},
10676  note		= {US Patent App. 11/115,642},
10677  publisher	= {Google Patents},
10678  title		= {{GPU}-based Finite Element},
10679  year		= {2005}
10680}
10681
10682@Article{	  cevahir2009fast,
10683  author	= {Cevahir, A. and Nukada, A. and Matsuoka, S.},
10684  date-added	= {2010-08-19 15:44:01 -0500},
10685  date-modified	= {2010-08-19 15:44:01 -0500},
10686  journal	= {Computational Science--ICCS 2009},
10687  pages		= {893--903},
10688  publisher	= {Springer},
10689  title		= {Fast conjugate gradients with multiple {GPU}s},
10690  year		= {2009}
10691}
10692
10693@Article{	  maier1995symmetric,
10694  author	= {Maier, G. and Miccoli, S. and Perego, U. and Novati, G.},
10695  date-added	= {2010-08-19 15:43:57 -0500},
10696  date-modified	= {2010-08-19 15:43:57 -0500},
10697  journal	= {Computational Mechanics},
10698  number	= {1},
10699  pages		= {115--129},
10700  publisher	= {Springer},
10701  title		= {Symmetric {G}alerkin boundary element method in plasticity and gradient
10702		  plasticity},
10703  volume	= {17},
10704  year		= {1995}
10705}
10706
10707@Article{	  corrigan-running,
10708  author	= {Corrigan, A. and Camelli, F. and L{\\"o}hner, R. and Wallin, J.},
10709  date-added	= {2010-08-19 15:43:47 -0500},
10710  date-modified	= {2010-08-19 15:43:47 -0500},
10711  journal	= {International Journal for Numerical Methods in Fluids},
10712  publisher	= {John Wiley \& Sons},
10713  title		= {Running unstructured grid based CFD solvers on modern graphics hardware}
10714}
10715
10716@InProceedings{	  volkov08,
10717  author	= {Vasily Volkov and James W. Demmel},
10718  title		= {Benchmarking GPUs to tune dense linear algebra},
10719  booktitle	= {Proceedings of the 2008 ACM/IEEE Conference on Supercomputing (SC08)},
10720  note		= {\url{http://mc.stanford.edu/cgi-bin/images/6/65/SC08_Volkov_GPU.pdf}},
10721  year		= {2008}
10722}
10723
10724@TechReport{	  cray-mvmult,
10725  author	= {Guy~E. Blelloch and Michael~A. Heroux and Marco Zagha},
10726  title		= {Segmented Operations for Sparse Matrix Computation on Vector Multiprocessors},
10727  institution	= {School of Computer Science, Carnegie Mellon University},
10728  number	= {CMU-CS-93-173},
10729  month		= aug,
10730  year		= {1993}
10731}
10732
10733@Conference{	  bell2009implementing,
10734  author	= {Bell, N. and Garland, M.},
10735  booktitle	= {Proceedings of the Conference on High Performance Computing Networking, Storage
10736		  and Analysis},
10737  date-added	= {2010-08-19 15:43:42 -0500},
10738  date-modified	= {2010-08-19 15:43:42 -0500},
10739  organization	= {ACM},
10740  pages		= {1--11},
10741  title		= {Implementing sparse matrix-vector multiplication on throughput-oriented
10742		  processors},
10743  year		= {2009}
10744}
10745
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10747  author	= {Bell, N. and Garland, M.},
10748  date-added	= {2010-08-19 15:43:36 -0500},
10749  date-modified	= {2010-08-19 15:43:36 -0500},
10750  journal	= {{NVIDIA} Corporation, {NVIDIA} Technical Report NVR-2008-004},
10751  title		= {Efficient sparse matrix-vector multiplication on {CUDA}},
10752  year		= {2008}
10753}
10754
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10756  author	= {Cohen, J. and Molemaker, M.J.},
10757  date-added	= {2010-08-19 15:43:34 -0500},
10758  date-modified	= {2010-08-19 15:43:34 -0500},
10759  journal	= {Parallel Computational Fluid Dynamics: Recent Advances and Future Directions},
10760  pages		= {414},
10761  publisher	= {DEStech Publications},
10762  title		= {A fast double precision CFD code using CUDA}
10763}
10764
10765@Article{	  kazhdan2008streaming,
10766  author	= {Kazhdan, M. and Hoppe, H.},
10767  date-added	= {2010-08-19 15:43:32 -0500},
10768  date-modified	= {2010-08-19 15:43:32 -0500},
10769  journal	= {ACM Transactions on Graphics (TOG)},
10770  number	= {3},
10771  pages		= {21},
10772  publisher	= {ACM},
10773  title		= {Streaming multigrid for gradient-domain operations on large images},
10774  volume	= {27},
10775  year		= {2008}
10776}
10777
10778@Article{	  bonnet1998symmetric,
10779  author	= {Bonnet, M. and Maier, G. and Polizzotto, C.},
10780  date-added	= {2010-08-19 15:43:18 -0500},
10781  date-modified	= {2010-08-19 15:43:18 -0500},
10782  journal	= {Appl. Mech. Rev},
10783  pages		= {669--704},
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10785  volume	= {51},
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10788
10789@Conference{	  zamith2007gpu,
10790  author	= {Zamith, M. and Clua, E. and Pagliosa, P. and Conci, A. and Montenegro, A. and
10791		  Valente, L.},
10792  booktitle	= {Proceedings of the VI Brazilian Symposium on Computer Games and Digital
10793		  Entertainment},
10794  date-added	= {2010-08-19 15:43:14 -0500},
10795  date-modified	= {2010-08-19 15:43:14 -0500},
10796  pages		= {37--43},
10797  title		= {The {GPU} used as a math co-processor in real time applications},
10798  year		= {2007}
10799}
10800
10801@Article{	  baskaran2009optimizing,
10802  author	= {Baskaran, M.M. and Bordawekar, R.},
10803  date-added	= {2010-08-19 15:42:56 -0500},
10804  date-modified	= {2010-08-19 15:42:56 -0500},
10805  journal	= {IBM Research Report RC24704, IBM},
10806  title		= {Optimizing sparse matrix-vector multiplication on {GPU}s},
10807  year		= {2009}
10808}
10809
10810@Misc{		  szeliski2006locally,
10811  author	= {Szeliski, R.},
10812  date-added	= {2010-08-19 15:42:45 -0500},
10813  date-modified	= {2010-08-19 15:42:45 -0500},
10814  month		= jul # {~25},
10815  note		= {US Patent App. 11/459,724},
10816  publisher	= {Google Patents},
10817  title		= {Locally adapted hierarchical basis preconditioning},
10818  year		= {2006}
10819}
10820
10821@Article{	  jung2006cholesky,
10822  author	= {Jung, J.H. and O'Leary, D.P.},
10823  date-added	= {2010-08-19 15:42:34 -0500},
10824  date-modified	= {2010-08-19 15:42:34 -0500},
10825  journal	= {Scholarly Paper, University of Maryland},
10826  publisher	= {Citeseer},
10827  title		= {Cholesky decomposition and linear programming on a {GPU}},
10828  year		= {2006}
10829}
10830
10831@Conference{	  filipovic2009gpu,
10832  author	= {Filipovic, J. and Peterlik, I. and Fousek, J.},
10833  booktitle	= {SAAHPC: Symposium on Application Accelerators in HPC},
10834  date-added	= {2010-08-19 15:42:33 -0500},
10835  date-modified	= {2010-08-19 15:42:33 -0500},
10836  title		= {{GPU} Acceleration of Equations Assembly in Finite Elements Method-Preliminary
10837		  Results},
10838  year		= {2009}
10839}
10840
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10842  author	= {Taylor, ZA and Comas, O. and Cheng, M. and Passenger, J. and Hawkes, DJ and
10843		  Atkinson, D. and Ourselin, S.},
10844  date-added	= {2010-08-19 15:42:23 -0500},
10845  date-modified	= {2010-08-19 15:42:23 -0500},
10846  journal	= {Medical Image Analysis},
10847  number	= {2},
10848  pages		= {234--244},
10849  publisher	= {Elsevier},
10850  title		= {On modelling of anisotropic viscoelasticity for soft tissue simulation: Numerical
10851		  solution and {GPU} execution},
10852  volume	= {13},
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10858		  and Lefohn, A.E. and Purcell, T.J.},
10859  booktitle	= {Computer Graphics Forum},
10860  date-added	= {2010-08-19 15:42:21 -0500},
10861  date-modified	= {2010-08-19 15:42:21 -0500},
10862  number	= {1},
10863  organization	= {John Wiley \& Sons},
10864  pages		= {80--113},
10865  title		= {A survey of general-purpose computation on graphics hardware},
10866  volume	= {26},
10867  year		= {2007}
10868}
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10872  date-added	= {2010-08-19 15:42:18 -0500},
10873  date-modified	= {2010-08-19 15:42:18 -0500},
10874  journal	= {Simulation Modelling Practice and Theory},
10875  number	= {8},
10876  pages		= {667--680},
10877  publisher	= {Elsevier},
10878  title		= {Scientific computation for simulations on programmable graphics hardware},
10879  volume	= {13},
10880  year		= {2005}
10881}
10882
10883@Conference{	  rumpf2001using,
10884  author	= {Rumpf, M. and Strzodka, R.},
10885  booktitle	= {Proc. of IASTED Visualization, Imaging and Image Processing Conference
10886		  (VIIP-01)},
10887  date-added	= {2010-08-19 15:42:15 -0500},
10888  date-modified	= {2010-08-19 15:42:15 -0500},
10889  organization	= {Citeseer},
10890  pages		= {193--202},
10891  title		= {Using graphics cards for quantized FEM computations},
10892  year		= {2001}
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10898  date-modified	= {2010-08-19 15:42:14 -0500},
10899  journal	= {International Journal for Numerical Methods in Engineering},
10900  number	= {2},
10901  pages		= {255--282},
10902  publisher	= {John Wiley \& Sons},
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10913  journal	= {Simulation Modelling Practice and Theory},
10914  number	= {8},
10915  pages		= {703--715},
10916  publisher	= {Elsevier},
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10926  date-modified	= {2010-08-19 15:42:06 -0500},
10927  journal	= {International Journal of Computational Science and Engineering},
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10940  date-modified	= {2010-08-19 15:41:51 -0500},
10941  journal	= {IEEE Micro},
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10967  journal	= {Concurrency and Computation: Practice and Experience},
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10970		  elements}
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10977  journal	= {Computer Methods in Applied Mechanics and Engineering},
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10979  pages		= {3247--3273},
10980  publisher	= {Elsevier},
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10982		  element-wise momentum balance},
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10989  booktitle	= {Proceedings of VMV},
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10992  title		= {Interactive simulation and rendering of heterogeneous deformable bodies},
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10998  date-added	= {2010-08-19 15:41:35 -0500},
10999  date-modified	= {2010-08-19 15:41:35 -0500},
11000  publisher	= {IEEE Computer Society},
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11008  date-modified	= {2010-08-19 15:41:33 -0500},
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11022  date-modified	= {2010-08-19 15:41:29 -0500},
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11035  publisher	= {Citeseer},
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11071  organization	= {Springer-Verlag},
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11096  organization	= {Citeseer},
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11099		  physics-based approach},
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11104  author	= {De Pascale, M. and De Pascale, G. and Prattichizzo, D. and Barbagli, F.},
11105  booktitle	= {Proceedings of Eurohaptics},
11106  date-added	= {2010-08-19 15:41:14 -0500},
11107  date-modified	= {2010-08-19 15:41:14 -0500},
11108  organization	= {Citeseer},
11109  pages		= {44--51},
11110  title		= {A {GPU}-friendly method for haptic and graphic rendering of deformable objects},
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11117  date-added	= {2010-08-19 15:41:14 -0500},
11118  date-modified	= {2010-08-19 15:41:14 -0500},
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11127  date-added	= {2010-08-19 15:41:13 -0500},
11128  date-modified	= {2010-08-19 15:41:13 -0500},
11129  organization	= {IEEE Computer Society},
11130  pages		= {3},
11131  title		= {{LU-GPU}: Efficient algorithms for solving dense linear systems on graphics
11132		  hardware},
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11138		  and Hwu, W.W.},
11139  booktitle	= {Proceedings of the 13th ACM SIGPLAN Symposium on Principles and practice of
11140		  parallel programming},
11141  date-added	= {2010-08-19 15:41:12 -0500},
11142  date-modified	= {2010-08-19 15:41:12 -0500},
11143  organization	= {ACM},
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11146		  {GPU} using CUDA},
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11152  booktitle	= {Proceedings of 2nd Workshop on General Purpose Processing on Graphics Processing
11153		  Units},
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11155  date-modified	= {2010-08-19 15:41:11 -0500},
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11178  pages		= {451--460},
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11204  journal	= {The Visual Computer},
11205  number	= {8},
11206  pages		= {707--716},
11207  publisher	= {Springer},
11208  title		= {An improved scheme of an interactive finite element model for 3D soft-tissue
11209		  cutting and deformation},
11210  volume	= {21},
11211  year		= {2005}
11212}
11213
11214@Article{	  taylor2008high,
11215  author	= {Taylor, Z.A. and Cheng, M. and Ourselin, S.},
11216  date-added	= {2010-08-19 15:40:57 -0500},
11217  date-modified	= {2010-08-19 15:40:57 -0500},
11218  journal	= {IEEE transactions on medical imaging},
11219  number	= {5},
11220  pages		= {650},
11221  title		= {High-speed nonlinear finite element analysis for surgical simulation using
11222		  graphics processing units.},
11223  volume	= {27},
11224  year		= {2008}
11225}
11226
11227@Conference{	  bolz2003sparse,
11228  author	= {Bolz, J. and Farmer, I. and Grinspun, E. and Schr{\\"o}oder, P.},
11229  booktitle	= {ACM SIGGRAPH 2003 Papers},
11230  date-added	= {2010-08-19 15:40:55 -0500},
11231  date-modified	= {2010-08-19 15:40:55 -0500},
11232  organization	= {ACM},
11233  pages		= {924},
11234  title		= {Sparse matrix solvers on the {GPU}: conjugate gradients and multigrid},
11235  year		= {2003}
11236}
11237
11238@Article{	  wu2004hybrid,
11239  author	= {Wu, W. and Heng, P.A.},
11240  date-added	= {2010-08-19 15:40:54 -0500},
11241  date-modified	= {2010-08-19 15:40:54 -0500},
11242  journal	= {Computer Animation and Virtual Worlds},
11243  number	= {3-4},
11244  pages		= {219--227},
11245  publisher	= {John Wiley \& Sons},
11246  title		= {A hybrid condensed finite element model with {GPU} acceleration for interactive
11247		  3D soft tissue cutting},
11248  volume	= {15},
11249  year		= {2004}
11250}
11251
11252% ----------------------------------------------------------------------------------------------------------------
11253@TechReport{	  davis97,
11254  author	= {T. Davis},
11255  title		= {The {U}niversity of {F}lorida Sparse Matrix Collection},
11256  institution	= {University of Florida},
11257  year		= {1997}
11258}
11259
11260@Article{	  davis2011,
11261  author	= {Davis, T. A. and Hu, Y.},
11262  title		= {The {U}niversity of {F}lorida sparse matrix collection},
11263  journal	= {ACM Transactions on Mathematical Software},
11264  volume	= {38},
11265  issue		= {1},
11266  year		= {2011},
11267  pages		= {1--25}
11268}
11269
11270@Article{	  davis2004algorithm,
11271  title		= {Algorithm 832: {UMFPACK} V4.3---An Unsymmetric-Pattern Multifrontal Method},
11272  author	= {Davis, Timothy A},
11273  journal	= {ACM Transactions on Mathematical Software},
11274  volume	= {30},
11275  number	= {2},
11276  pages		= {196--199},
11277  year		= {2004},
11278  publisher	= {ACM}
11279}
11280
11281@TechReport{	  streams,
11282  author	= {J. D. McCalpin},
11283  title		= {{STREAM}: Sustainable memory bandwidth in high performance computers},
11284  institution	= {University of Virginia},
11285  url		= {http://www.cs.virginia.edu/stream},
11286  year		= {1995}
11287}
11288
11289@Article{	  areusken_1988b,
11290  author	= {A. Reusken},
11291  title		= {Convergence of the multigrid full approximation scheme for a class of elliptic
11292		  mildly nonlinear boundary value problems},
11293  journal	= {Numer. Math.},
11294  volume	= {52},
11295  year		= {1988},
11296  pages		= {251--277}
11297}
11298
11299@Article{	  areusken_1988c,
11300  author	= {A. Reusken},
11301  title		= {Convergence of the multigrid full approximation scheme including the {V}--cycle},
11302  journal	= {Numer. Math.},
11303  volume	= {53},
11304  year		= {1988},
11305  pages		= {663--686}
11306}
11307
11308@Unpublished{	  mgnet,
11309  title		= {Multigrid Net; http://www.mgnet.org/},
11310  author	= {Craig Douglas},
11311  note		= {Contains enormous bibliography on multigrid publications},
11312  year		= {2009}
11313}
11314
11315@Unpublished{	  copper,
11316  title		= {Fourteenth Copper Mountain Conference on Multigrid Methods},
11317  author	= {},
11318  note		= {Held bi-annually},
11319  year		= {2009}
11320}
11321
11322@Book{		  wessling1992,
11323  author	= {Pieter Wesseling},
11324  title		= {An Introduction to Multigrid Methods},
11325  year		= {2004},
11326  publisher	= {R. T. Edwards}
11327}
11328
11329@Book{		  bhm2000,
11330  author	= {William L. Briggs and Van Emden Henson and Steve F. McCormick},
11331  title		= {A Multigrid Tutorial},
11332  year		= {2000},
11333  publisher	= {SIAM}
11334}
11335
11336@Book{		  trottenberg2001multigrid,
11337  title		= {{Multigrid}},
11338  author	= {Trottenberg, U. and Oosterlee, C.W. and Sch{\"u}ller, A.},
11339  isbn		= {012701070X},
11340  year		= {2001},
11341  publisher	= {Academic Press}
11342}
11343
11344@TechReport{	  brandt1984,
11345  author	= {Achi Brandt},
11346  title		= {Multigrid Techniques: 1984 Guide with Applications for Fluid Dynamics},
11347  institution	= {Gesellschaft fur Mathematik und Dataenverarbeitung},
11348  number	= {GMD-Studien Nr. 85},
11349  year		= {1984}
11350}
11351
11352@Article{	  yavneh1998coarse,
11353  title		= {Coarse-Grid Correction for Nonelliptic and Singular Perturbation Problems},
11354  author	= {Yavneh, I.},
11355  journal	= {SIAM Journal on Scientific Computing},
11356  volume	= {19},
11357  number	= {5},
11358  pages		= {1682--1699},
11359  year		= {1998},
11360  publisher	= {Society for Industrial and Applied Mathematics}
11361}
11362
11363@Article{	  wan2003phase,
11364  title		= {A Phase Error Analysis of Multigrid Methods for Hyperbolic Equations},
11365  author	= {Wan, WL and Chan, T.F.},
11366  journal	= {SIAM Journal on Scientific Computing},
11367  volume	= {25},
11368  pages		= {857},
11369  year		= {2003}
11370}
11371
11372@Article{	  imex,
11373  author	= {Uri M. Ascher and Steven J. Ruuth and Brian T. R. Wetton},
11374  title		= {Implicit-Explicit Methods for Time-Dependent Partial Differential Equations},
11375  journal	= {SIAM Journel on Numerical Analysis},
11376  volume	= {32},
11377  number	= {3},
11378  pages		= {797--823},
11379  year		= {1995}
11380}
11381
11382@Article{	  ow1,
11383  author	= {T. Washio and C. W. Oosterlee},
11384  title		= {Krylov Subspace Acceleration for Nonlinear Multigrid Schemes with Application to
11385		  Recirculating Flow},
11386  journal	= {SIAM Journal on Scientific Computing},
11387  volume	= {21},
11388  pages		= {1670--1690},
11389  year		= {2000}
11390}
11391
11392@Article{	  vm1,
11393  author	= {V. A. Mousseau},
11394  title		= {Implicitly Balanced Solution of the Two-Phase Flow Equations Coupled to Nonlinear
11395		  Heat Conduction},
11396  journal	= {Journal Of Computational Physics},
11397  volume	= {200},
11398  pages		= {104--132},
11399  year		= {2004}
11400}
11401
11402@Article{	  vm2,
11403  author	= {V. A. Mousseau},
11404  title		= {A Fully Implicit Hybrid Solution Method for a Two-Phase Thermal-Hydraulic Model},
11405  journal	= {Journal Of Heat Transfer},
11406  volume	= {127},
11407  pages		= {531--539},
11408  year		= {2005}
11409}
11410
11411@Misc{		  salome1,
11412  author	= {Laurent Dada and Daniel Caruge},
11413  title		= {The {SALOME} Open Source {CAE} Platform Application to Reactor Physics
11414		  Simulation},
11415  year		= {2005},
11416  url		= {http://conferences.esa.int/05c26/Seminar-2005-09-28-SALOME.pdf},
11417  note		= {Presentation at an ESA/ESTEC conference}
11418}
11419
11420@InProceedings{	  downar1,
11421  author	= {D. A. Barber and W. Wang and R. M. Miller and T. J. Downar and H. G. Joe and V.
11422		  A. Mousseau and D. E. Ebert},
11423  title		= {Application of a generalized interface module to the coupling of {PARCS} with
11424		  both {RELAP5} and {TRAC-M}},
11425  booktitle	= {Proceedings of 1999 annual meeting of the American Nuclear Society},
11426  year		= {1999}
11427}
11428
11429@Article{	  lopez1,
11430  author	= {A. P. Lopez and J. B. Sandova},
11431  title		= {A methodology for the coupling of {RAMONA-3B} neutron kinetics and {TRAC-BF1}
11432		  thermal-hydraulics},
11433  journal	= {Annals of Nuclear Energy},
11434  volume	= {32(6)},
11435  pages		= {621--634},
11436  year		= {2005}
11437}
11438
11439@InProceedings{	  og-1996,
11440  author	= {C. R. E. de Oliveira and A. J. H. Goddard},
11441  title		= {{EVENT}: A Multidimensional Finite Element-Spherical Harmonics Radiation
11442		  Transport Code},
11443  booktitle	= {Proceedings of the OECD International Seminar on 3D Deterministic Radiation
11444		  Transport Codes},
11445  editor	= {},
11446  publisher	= {},
11447  pages		= {},
11448  note		= {Paris, France},
11449  month		= {December 01--02,},
11450  year		= {1996}
11451}
11452
11453@Article{	  wo-2000,
11454  author	= {P. Warner and C. R. E. de Oliveira},
11455  title		= {Verification and Validation of the 3D Finite Element Transport Theory Code
11456		  {EVENT} for Shielding Applications},
11457  journal	= {J. Nucl. Sci. and Tech.},
11458  volume	= {Supplement 1},
11459  pages		= {466--470},
11460  year		= {2000}
11461}
11462
11463@Unpublished{	  gnep-web,
11464  author	= {{U.S. Department of Energy}},
11465  title		= {Global Nuclear Energy Partnership ({GNEP})},
11466  note		= {\url{ http://www.gnep.energy.gov}},
11467  year		= {2007}
11468}
11469
11470@Book{		  lewis-miller-1984,
11471  author	= {E. E. Lewis and W. F. Miller, Jr.},
11472  title		= {Computational Methods of Neutron Transport},
11473  address	= {},
11474  publisher	= {Wiley},
11475  year		= {1984}
11476}
11477
11478@Article{	  couple1,
11479  author	= {J. M. Cook and D. Okrent and D. Satkus and R. B. Lazarus and M. B. Wells},
11480  title		= {{AX-1}, A COMPUTING PROGRAM FOR COUPLED NEUTRONICS-HYDRODYNAMICS CALCULATIONS ON
11481		  THE {IBM-704}},
11482  journal	= {Nuclear Sci. and Eng.},
11483  year		= {1959},
11484  pages		= {113--115},
11485  volume	= {2(1)}
11486}
11487
11488@InProceedings{	  weber1,
11489  author	= {D. P. Weber and S. S. Chen and C. Y. Wang and T. Y. C. Wei and S. Jansson},
11490  title		= {Coupled {CFD/CSM} vibration design methodology for generation {IV} long-life fuel
11491		  and component design},
11492  booktitle	= {4th International Conference on Supercomputing in Nuclear Applications},
11493  year		= {2000}
11494}
11495
11496@Misc{		  gnep:report,
11497  author	= {Phillip Finck and David Keyes and Rick Stevens},
11498  title		= {{Report on the {DOE} Joint {NE/SC} Workshop Simulation and Modeling for Advanced
11499		  Nuclear Energy Systems}},
11500  year		= {2006}
11501}
11502
11503@Misc{		  subsurface-workshop-ref,
11504  author	= {D. {Zachman (Chair)}},
11505  title		= {{Computational Subsurface Sciences Workshop}},
11506  note		= {January 9--12, 2007, Bethesda, MD, see \url{http://subsurface2007.labworks.org/}}
11507}
11508
11509@Misc{		  fusion:report,
11510  title		= {{Report of the Fusion Energy Sciences Advisory Committee Burning Plasma Strategy
11511		  Panel}},
11512  author	= {{Fusion Energy Sciences Advisory Committee}},
11513  year		= {2002},
11514  note		= {see \url{http://www.ofes.fusion.doe.gov/More_HTML/FESAC/Austinfinal.pdf}}
11515}
11516
11517@Misc{		  hecrtf:report,
11518  title		= {{Report of the High End Computing Revitalization Task Force (HECRTF)}},
11519  key		= {HECRTF},
11520  year		= {2004},
11521  howpublished	= {see \url{http://www.ostp.gov/nstc/html/HECRTF-FINAL_051004.pdf}}
11522}
11523
11524@Misc{		  doesc20years,
11525  title		= {{Facilities for the Future of Science: A Twenty-Year Outlook}},
11526  key		= {Office of Science, U.S. Department of Energy},
11527  year		= {2003},
11528  howpublished	= {Office of Science, U.S. Department of Energy, see
11529		  \url{http://www.sc.doe.gov/Scientific_User_Facilities/History/20-Year-Outlook-screen.pdf}}
11530}
11531
11532@PhDThesis{	  karpeev-thesis,
11533  author	= {D. A. Karpeyev},
11534  title		= {Geometric Integrators for Hamiltonian PDEs},
11535  school	= {Old Dominion University},
11536  year		= {2002}
11537}
11538
11539@InCollection{	  fjp:ima,
11540  author	= {Lori Freitag and Mark Jones and Paul Plassmann},
11541  title		= {The Scalability of Mesh Improvement Algorithms},
11542  booktitle	= {Algorithms for Parallel Processing},
11543  publisher	= {Springer-Verlag},
11544  volume	= {105},
11545  series	= {The IMA Volumes in Mathematics and Its Applications},
11546  editor	= {Michael T.\ Heath and Abhiram Ranade and Robert S.\ Schreiber},
11547  year		= {1998},
11548  pages		= {185--212}
11549}
11550
11551@InProceedings{	  poet,
11552  author	= {Rob Armstrong and Alex Cheung},
11553  title		= {{POET} ({P}arallel {O}bject-Oriented {E}nvironment and {T}oolkit) and Frameworks
11554		  for Scientific Distributed Computing},
11555  booktitle	= {Proceedings of {HICSS97}},
11556  year		= {1997}
11557}
11558
11559@Misc{		  pseware-web-page,
11560  author	= {},
11561  title		= {{PSEware} {Web} page},
11562  note		= {\url{http://www.extreme.indiana.edu/pseware}, Indiana University},
11563  key		= {{PSEware} {Web} page}
11564}
11565
11566@Article{	  epperly2011high,
11567  title		= {High-performance language interoperability for scientific computing through
11568		  {B}abel},
11569  author	= {Epperly, Thomas GW and Kumfert, Gary and Dahlgren, Tamara and Ebner, Dietmar and
11570		  Leek, Jim and Prantl, Adrian and Kohn, Scott},
11571  journal	= {International Journal of High Performance Computing Applications},
11572  pages		= {1094342011414036},
11573  year		= {2011},
11574  publisher	= {SAGE Publications}
11575}
11576
11577@Misc{		  babel-web-page,
11578  author	= {Tom Epperly and Tamara Dahlgren and Gary Kumfert},
11579  title		= {{Babel} {Web} page},
11580  note		= {\url{http://www.llnl.gov/CASC/components/babel.html}}
11581}
11582
11583@Misc{		  infospheres-web-page,
11584  author	= {K.~M. {Chandy et al.}},
11585  title		= {{Infospheres} {W}eb page},
11586  note		= {\url{http://www.infospheres.caltech.edu}},
11587  key		= {{Infospheres} {Web} page}
11588}
11589
11590@Misc{		  hammond,
11591  author	= {Glenn Hammond},
11592  title		= {{Sandia National Laboratory}, {C}omputations on {R}eactive {F}low, private
11593		  communication}
11594}
11595
11596@Misc{		  ornl,
11597  author	= {Oak Ridge National Laboratory},
11598  title		= {Private communication via petsc-maint email support}
11599}
11600
11601@Unpublished{	  cumulvs-web-page,
11602  author	= {},
11603  title		= {{Cumulvs} {W}eb page},
11604  note		= {http://www.epm.ornl.gov/cs/cumulvs.html},
11605  key		= {{Cumulvs} {W}eb page}
11606}
11607
11608@Article{	  nonlineargmres,
11609  author	= {T. Washio and C. W. Oosterlee},
11610  title		= {Krylov Subspace Acceleration for Nonlinear Multigrid Schemes},
11611  journal	= {ETNA},
11612  year		= {1997},
11613  pages		= {271--290},
11614  volume	= {6}
11615}
11616
11617@Article{	  pcice,
11618  author	= {Richard C. Martineau and Ray A. Berry},
11619  title		= {The pressure-corrected ICE finite element method for compressible flows on
11620		  unstructured meshes},
11621  journal	= {Journal of Computational Physics},
11622  year		= {2004},
11623  pages		= {659--685},
11624  volume	= {198(2)}
11625}
11626
11627@Article{	  cumulvs97,
11628  author	= {G. A. Geist and J. A. Kohl and P. M. Papadopoulos},
11629  title		= {{CUMULVS}: Providing Fault-Tolerance, Visualization, and Steering of Parallel
11630		  Applications},
11631  journal	= {International Journal of Supercomputing Applications},
11632  year		= {1997}
11633}
11634
11635@TechReport{	  daly2012interagency,
11636  author	= {John Daly and Bill Harrod and Thuc Hoang and Lucy Nowell and Bob Adolf and
11637		  Shekhar Borkar and Nathan DeBardeleben and Mootaz Elnozahy and Mike Heroux and
11638		  David Rogers and Rob Ross and Vivek Sarkar and Martin Schulz and Marc Snir and
11639		  Paul Woodward},
11640  title		= {Inter-Agency Workshop on HPC Resilience at Extreme Scale},
11641  year		= {2012},
11642  publisher	= {US Department of Defense}
11643}
11644
11645@Article{	  karpeev1,
11646  author	= {A. L. Islas and D. A. Karpeev and C. M. Schober},
11647  title		= {Geometric Integrators for the Nonlinear Schr\"odinger Equation},
11648  journal	= {J. Comp. Phys.},
11649  year		= {2001},
11650  pages		= {116--148},
11651  volume	= {173}
11652}
11653
11654@InProceedings{	  scirun97,
11655  author	= {S. G. Parker and D. W. Weinstein and C. R. Johnson},
11656  title		= {The {SCIRun} Computational Steering System},
11657  booktitle	= {Modern Software Tools in Scientific Computing},
11658  editor	= {E. Arge and A. M. Bruaset and H. P. Langtangen},
11659  publisher	= {Birkhauser Press},
11660  year		= {1997}
11661}
11662
11663@TechReport{	  szyld,
11664  author	= {Valeria Simoncini and Daniel B. Szyld},
11665  title		= { Theory of Inexact Krylov Subspace Methods and Applications to Scientific
11666		  Computing},
11667  year		= {2002},
11668  institution	= {Department of Mathematics, Temple University},
11669  number	= {02-4-12}
11670}
11671
11672@TechReport{	  pdelab,
11673  author	= {S. Weerawarana and E. N. Houstis and J. R. Rice and A. C. Catlin and C. Crabill
11674		  and C. C. Chui and S. Markus},
11675  title		= {{PDELab}: An Object-Oriented Framework for Building Problem Solving Environments
11676		  for {PDE} Based Applications},
11677  year		= {1994},
11678  institution	= {Department of Computer Sciences, Purdue University},
11679  number	= {CSD-TR-94-021}
11680}
11681
11682@Unpublished{	  ilu-web-page,
11683  author	= {Bill Janssen and Mike Spreitzer and Dan Larner and Chris Jacobi},
11684  title		= {{I}nter-{L}anguage {U}nification Reference Manual},
11685  note		= {ftp://ftp.parc.xerox.com/ilu/ilu.html, Xerox Corporation}
11686}
11687
11688@Unpublished{	  doe2k-web-page,
11689  title		= {{DOE2000 Initiative} {W}eb page},
11690  note		= {http://www.mcs.anl.gov/DOE2000},
11691  key		= {DOE2000 Initiative}
11692}
11693
11694@Misc{		  pvode-web-page,
11695  title		= {{PVODE} {W}eb Page},
11696  note		= {\url{http://www.llnl.gov/CASC/PVODE}, Lawrence Livermore National Laboratory},
11697  author	= {A. {Hindmarsh et al.}}
11698}
11699
11700@Book{		  szyperski97,
11701  author	= {Clemens Szyperski},
11702  title		= {Component Software: Beyond Object-Oriented Programming},
11703  publisher	= {ACM Press},
11704  address	= {New York},
11705  year		= {1997}
11706}
11707
11708@Unpublished{	  petsc:coloringuse,
11709  title		= {Code for computing sparse {J}acobians},
11710  note		= {\url{http://www.mcs.anl.gov/petsc/miscellaneous/external.html}},
11711  institution	= {Argonne National Laboratory}
11712}
11713
11714@Unpublished{	  petsc:external,
11715  author	= {B. F. {Smith et al.}},
11716  title		= {{External Software Used by PETSc}},
11717  note		= {\url{http://www.mcs.anl.gov/petsc/miscellaneous/external.html}},
11718  institution	= {Argonne National Laboratory}
11719}
11720
11721@Unpublished{	  petsc:use-by-external-packages,
11722  author	= {B. F. {Smith et al.}},
11723  title		= {{Software Packages that Use or Interface to PETSc}},
11724  note		= {\url{http://www.mcs.anl.gov/petsc/publications/petscapps.html#packages}},
11725  institution	= {Argonne National Laboratory}
11726}
11727
11728@Unpublished{	  petsc:prizes,
11729  author	= {B. F. {Smith et al.}},
11730  title		= {{Prizes Won Using PETSc}},
11731  note		= {\url{http://www.mcs.anl.gov/petsc/publications/prizes.html}},
11732  institution	= {Argonne National Laboratory}
11733}
11734
11735@Unpublished{	  petsc:csgf,
11736  author	= {B. F. {Smith et al.}},
11737  title		= {{DOE Computational Science Graduate Fellowship (CSGF) Users of PETSc}},
11738  note		= {\url{http://www.mcs.anl.gov/petsc/publications/prizes.html}},
11739  institution	= {Argonne National Laboratory}
11740}
11741
11742@Unpublished{	  flash-web-page,
11743  title		= {{U}niversity of {C}hicago {C}enter on {A}strophysical {T}hermonuclear {F}lashes
11744		  {W}eb Page},
11745  note		= {http://www.asci.uchicago.edu},
11746  author	= {R. {Rosner et al.}},
11747  institution	= {University of Chicago}
11748}
11749
11750@Unpublished{	  esi-web-page,
11751  title		= {{E}quation {S}olver {I}nterface {F}orum {W}eb Page},
11752  note		= {http://z.ca.sandia.gov/esi},
11753  author	= {R. {Clay et al.}}
11754}
11755
11756@Unpublished{	  infobus-web-page,
11757  title		= {{I}nfo{B}us {W}eb Page},
11758  note		= {http://www.java.sun.com/beans/infobus},
11759  key		= {infobus}
11760}
11761
11762@Unpublished{	  xray-web-page,
11763  title		= {{S}upercomputer {S}olution of {M}assive {C}rystallographic and {M}icrotomographic
11764		  {S}tructural {P}roblems {W}eb Page ({DOE} Grand Challenge Project)},
11765  note		= {http://www.mcs.anl.gov/xray/},
11766  institution	= {Argonne National Laboratory}
11767}
11768
11769@InProceedings{	  kohn98,
11770  author	= {Andrew Cleary and Scott Kohn and Steven Smith and Brent Smolinski},
11771  title		= {Language Interoperability Mechanisms for High-Performance Scientific
11772		  Applications},
11773  publisher	= {SIAM},
11774  booktitle	= {Proceedings of the SIAM Workshop on Object Oriented Methods for Inter-operable
11775		  Scientific and Engineering Computing},
11776  year		= {1999},
11777  pages		= {30-39}
11778}
11779
11780@InProceedings{	  kohn01,
11781  author	= {Scott Kohn and Gary Kumfert and Jeff Painter and Cal Ribbens},
11782  title		= {Divorcing Language Dependencies from a Scientific Software Library},
11783  publisher	= {SIAM},
11784  booktitle	= {Proceedings of the Tenth SIAM Conference on Parallel Processing},
11785  year		= {2001}
11786}
11787
11788@InProceedings{	  freitag_jones_plassmann98,
11789  author	= {Lori Freitag and Mark Jones and Paul Plassmann},
11790  title		= {Component Integration for Unstructured Mesh Algorithms and Software},
11791  publisher	= {SIAM},
11792  booktitle	= {Proceedings of the SIAM Workshop on Object Oriented Methods for Inter-operable
11793		  Scientific and Engineering Computing},
11794  year		= {1999},
11795  pages		= {215-224}
11796}
11797
11798@Book{		  templates,
11799  author	= {R. Barrett and M. Berry and T. F. Chan and J. Demmel and J. Donato and J.
11800		  Dongarra and V. Eijkhout and R. Pozo and C. Romine and H. Van der Vorst },
11801  title		= {Templates for the Solution of Linear Systems: Building Blocks for Iterative
11802		  Methods},
11803  publisher	= {SIAM},
11804  year		= {1994},
11805  address	= {Philadelphia, PA}
11806}
11807
11808@InProceedings{	  parasha2,
11809  author	= {M. Parashar and J. C. Browne and C. Edwards and K. Klimkowski},
11810  title		= { A Common Data Management Infrastructure for Parallel Adaptive Algorithms for
11811		  {PDE} Solutions},
11812  booktitle	= {SC97 Proceedings},
11813  publisher	= {IEEE Computer Society Press},
11814  year		= {1997}
11815}
11816
11817@TechReport{	  parasha,
11818  author	= {M. Parashar and J. C. Browne},
11819  title		= {{DAGH}: A Data-Management Infrastructure for Parallel Adaptive Mesh Refinement
11820		  Techniques},
11821  institution	= {Department of Computer Science, University of Texas at Austin},
11822  year		= {1995}
11823}
11824
11825@Article{	  parti,
11826  author	= {R. Das and M. Uysal and J. Saltz and Y. S. Hwang},
11827  title		= {Communication Optimizations for Irregular Scientific Computations on Distributed
11828		  Memory Architectures},
11829  journal	= {Journal of Parallel and Distributed Computing},
11830  year		= {1994},
11831  volume	= {22},
11832  pages		= {462--478}
11833}
11834
11835@Article{	  mparti,
11836  author	= {G. Agrawal and A. Sussman and J. Saltz},
11837  title		= {An Integrated Runtime and Compile-time Approach for Parallelizing Structured and
11838		  Block Structured Applications},
11839  journal	= {IEEE Trans. on Parallel and Distributed Systems},
11840  volume	= {6},
11841  number	= {7},
11842  year		= {1995}
11843}
11844
11845@Article{	  gropp-lusk-doss-skjellum,
11846  author	= { William Gropp and Ewing Lusk and Nathan Doss and Anthony Skjellum},
11847  title		= {A high-performance, portable implementation of the {MPI} Message Passing
11848		  Interface standard},
11849  journal	= {Parallel Computing},
11850  year		= {1996},
11851  volume	= {22},
11852  pages		= {789--828}
11853}
11854
11855@InProceedings{	  lam,
11856  author	= {Greg Burns and Raja Daoud and James Vaigl},
11857  title		= {{LAM}: An Open Cluster Environment for {MPI}},
11858  booktitle	= {Proceedings of Supercomputing Symposium '94},
11859  editor	= {John W. Ross},
11860  publisher	= {University of Toronto},
11861  pages		= {379--386},
11862  year		= {1994}
11863}
11864
11865@Article{	  cs99,
11866  author	= {X.-C. Cai and M. Sarkis},
11867  title		= {A restricted additive {S}chwarz preconditioner for general sparse linear
11868		  systems},
11869  journal	= {SIAM J. Scientific Computing},
11870  year		= {1999},
11871  volume	= {21},
11872  pages		= {792-797}
11873}
11874
11875@TechReport{	  cs97a,
11876  author	= {X.-C. Cai and M. Sarkis},
11877  title		= {A restricted additive {S}chwarz preconditioner for general sparse linear systems
11878		  },
11879  year		= {1997},
11880  institution	= {Computer Science Department, University of Colorado-Boulder},
11881  number	= {CU-CS 843-97},
11882  note		= {(accepted by SIAM J. of Scientific Computing)}
11883}
11884
11885@Article{	  cai2003restricted,
11886  title		= {Restricted additive {S}chwarz preconditioners with harmonic overlap for symmetric
11887		  positive definite linear systems},
11888  author	= {Cai, X.C. and Dryja, M. and Sarkis, M.},
11889  journal	= {SIAM Journal on Numerical Analysis},
11890  volume	= {41},
11891  issue		= {1},
11892  pages		= {1209--1231},
11893  year		= {2003},
11894  doi		= {10.1137/S0036142901389621}
11895}
11896
11897@TechReport{	  caisaad,
11898  author	= {Xiao-Chuan Cai and Youcef Saad},
11899  title		= {Overlapping domain decomposition algorithms for general sparse matrices},
11900  institution	= {Army High Performance Computing Research Center, University of Minnesota },
11901  year		= {1993},
11902  number	= {Preprint 93-027 },
11903  note		= {SIAM J. Sci. Comp. (submitted)}
11904}
11905
11906@Book{		  ruminations,
11907  author	= {Andrew Koenig and Barbara Moo},
11908  title		= {Ruminations on C++},
11909  year		= {1996},
11910  publisher	= {Addison-Wesley}
11911}
11912
11913@Book{		  mpi-complete,
11914  author	= {Marc Snir and Steve Otto and Steven Huss-Lederman and David Walker and Jack
11915		  Dongarra},
11916  title		= {{MPI}: The Complete Reference},
11917  year		= {1995},
11918  publisher	= {MIT Press}
11919}
11920
11921@Unpublished{	  tcl-tk-web-page,
11922  title		= {{Tcl/Tk} {W}orld {W}ide {W}eb page},
11923  note		= {http://www.sunlabs.com/research/tcl/},
11924  year		= {1996},
11925  month		= aug
11926}
11927
11928@Misc{		  mpich-web-page,
11929  author	= {William Gropp and {et. al.}},
11930  title		= {{MPICH} {W}eb page},
11931  key		= {MPICH},
11932  url		= {http://www.mpich.org},
11933  howpublished	= {\url{http://www.mpich.org}}
11934}
11935
11936@Article{	  mpi-final,
11937  author	= {MPI Forum},
11938  title		= {{MPI}: A Message-Passing Interface Standard},
11939  journal	= {International J. Supercomputing Applications},
11940  volume	= {8},
11941  number	= {3/4},
11942  year		= {1994},
11943  key		= {MPI Standard - final}
11944}
11945
11946@Unpublished{	  npb-web-page,
11947  key		= {NAS Parallel Benchmarks},
11948  title		= {{NAS} {P}arallel {B}enchmarks {W}eb page},
11949  note		= {http://www.nas.nasa.\-gov/\-NAS/\-NPB/\-index.html},
11950  year		= {1996},
11951  month		= dec
11952}
11953
11954@Book{		  george81,
11955  title		= {Computer Solution of Large Sparse Positive Definite Systems},
11956  author	= {Alan George and Joseph W. Liu},
11957  publisher	= {Prentice-Hall},
11958  year		= {1981},
11959  key		= {SparseDirect}
11960}
11961
11962@Book{		  p4-book,
11963  title		= {Portable Programs for Parallel Processors},
11964  publisher	= {Holt, Rinehart, {and} Winston},
11965  year		= {1987},
11966  author	= {James Boyle and Ralph Butler and Terrence Disz and Barnett Glickfeld and Ewing
11967		  Lusk and Ross Overbeek and James Patterson and Rick Stevens},
11968  key		= {P4Book}
11969}
11970
11971@Article{	  stones,
11972  author	= {H. L. Stone},
11973  title		= {Iterative solution of implicit approximations of multidimensional partial
11974		  differential equations},
11975  journal	= {SIAM J. Numerical Analysis},
11976  pages		= {87--113},
11977  volumne	= {5},
11978  year		= {1968}
11979}
11980
11981@Article{	  parallelstones,
11982  author	= {J. S. Reeve and A. D. Scurr and J. H. Merlin},
11983  title		= {Parallel versions of {S}tones strongly implicit algorithm},
11984  journal	= {Concurrency and Computation: Practice and Experience},
11985  pages		= {1049--1062},
11986  volumne	= {13},
11987  year		= {2001}
11988}
11989
11990@Article{	  p4-paper,
11991  author	= {Ralph Butler and Ewing Lusk},
11992  title		= {Monitors, Messages, and Clusters: {T}he p4 Parallel Programming System},
11993  journal	= {Journal of Parallel Computing},
11994  note		= {To appear (Also Argonne National Laboratory Mathematics and Computer Science
11995		  Division preprint P362-0493)},
11996  year		= {1993}
11997}
11998
11999@TechReport{	  picl,
12000  author	= {G.~A.~Geist and Michael~T.~Heath and B.~W.~Peyton and Patrick~H.~Worley},
12001  title		= {{PICL}: A portable instrumented communications library},
12002  institution	= {Oak Ridge National Laboratory},
12003  number	= {TM-11130},
12004  year		= {1990},
12005  key		= {PICL}
12006}
12007
12008@TechReport{	  upshot,
12009  author	= {Virginia Herrarte and Ewing Lusk},
12010  title		= {Studying Parallel Program Behavior with {U}pshot},
12011  institution	= {Argonne National Laboratory},
12012  number	= {ANL-91/15},
12013  month		= aug,
12014  year		= {1991},
12015  key		= {Upshot}
12016}
12017
12018@TechReport{	  p4-manual,
12019  author	= {Ralph Butler and Ewing Lusk},
12020  title		= {User's Guide to the p4 Parallel Programming System},
12021  institution	= {Argonne National Laboratory},
12022  number	= {ANL-92/17},
12023  month		= oct,
12024  year		= {1992},
12025  key		= {p4-Manual}
12026}
12027
12028@InProceedings{	  oldparti,
12029  author	= {Gagan Agrawal and Alan Sussman and Joel Saltz},
12030  title		= {Compiler and Runtime Support for Unstructured and Block Structured Problems},
12031  booktitle	= {Proceedings of Supercomputing '93},
12032  pages		= {578--587},
12033  year		= {1993}
12034}
12035
12036@Article{	  parti2,
12037  author	= {S. S. Mukherjee and S. D. Sharma and M. DF. Hill and J. R. Larus and A. Rogers
12038		  and J. Saltz},
12039  title		= {Efficient Support for Irregular Applications on Distributed Memory Machines},
12040  journal	= {ACM SIGPLAN Notices},
12041  year		= {1995},
12042  pages		= {68-79},
12043  volume	= {30},
12044  number	= {8}
12045}
12046
12047@Article{	  parti3,
12048  author	= {J. Saltz and R. Mirchandaney and K. Crowley},
12049  title		= {Run-Time Parallelization and Scheduling of Loops},
12050  journal	= {IEEE Trans. Computers},
12051  year		= {1991},
12052  pages		= {604-612},
12053  volume	= {40},
12054  number	= {5}
12055}
12056
12057@InProceedings{	  disz-lusk:wamtrace,
12058  author	= {Terrence Disz and Ewing Lusk},
12059  title		= {A Graphical Tool for Observing the Behavior of Parallel Logic Programs},
12060  booktitle	= {Proceedings of the 1987 Symposium on Logic Programming},
12061  year		= {1987},
12062  pages		= {46--53}
12063}
12064
12065@InProceedings{	  gorlick-kesselman:gauge,
12066  author	= {Michael Gorlick and Carl Kesselman},
12067  title		= {Timing {Prolog} programs without Clocks},
12068  booktitle	= {Proceedings of the 1987 Symposium on Logic Programming},
12069  year		= {1996},
12070  publisher	= {Birkhauser}
12071}
12072
12073@TechReport{	  aztec,
12074  author	= {Scott A. Hutchinson and John N. Shadid and Ray S. Tuminaro},
12075  title		= {Aztec User's Guide Version 1.1},
12076  institution	= {Sandia National Laboratories},
12077  month		= oct,
12078  year		= {1995},
12079  number	= {SAND95/1559}
12080}
12081
12082@TechReport{	  aztec2,
12083  author	= {Ray S. Tuminaro and Micheal Heroux and Scott A. Hutchinson and John N. Shadid},
12084  title		= {Official {Aztec} User's Guide Version 2.1},
12085  institution	= {Sandia National Laboratories},
12086  year		= {1999}
12087}
12088
12089@Book{		  taylor-chandy:pcn,
12090  author	= {Chandy, M. and Taylor, S.},
12091  title		= {An Introduction to Parallel Programming},
12092  year		= {1991},
12093  publisher	= {Jones and Bartlett}
12094}
12095
12096@Book{		  foster-taylor:strand,
12097  title		= {Strand: New Concepts in Parallel Programming},
12098  author	= {Ian Foster and Stephen Taylor},
12099  publisher	= {Prentice-Hall},
12100  adress	= { Englewood Cliffs, New Jersey},
12101  year		= {1990}
12102}
12103
12104@Article{	  aurora,
12105  author	= {E. Lusk and R. Butler and T. Disz and R. Olson and R. Overbeek and R. Stevens and
12106		  D.H.D. Warren and A. Calderwood and P. Szeredi and S. Haridi and P. Brand and M.
12107		  Carlsson and A. Ciepielewski and B. Hausman},
12108  title		= {The Aurora OR-Parallel Prolog System},
12109  journal	= {New Generation Computing},
12110  volume	= {7},
12111  number	= {3},
12112  year		= {1990},
12113  pages		= {243--271}
12114}
12115
12116@TechReport{	  roo,
12117  author	= {E. Lusk and W. McCune and J. Slaney},
12118  title		= {Roo---a Parallel Theorem Prover},
12119  institution	= {Argonne National Laboratory},
12120  number	= {MCS--TM--149},
12121  year		= {1991}
12122}
12123
12124@TechReport{	  heath-etheridge:vppp,
12125  author	= {M. T. Heath and J. A. Etheridge},
12126  title		= {Visualizing the Performance of Parallel Programs},
12127  institution	= {Oak Ridge National Laboratory},
12128  number	= {ORNL TM-11813},
12129  year		= {1991}
12130}
12131
12132@TechReport{	  chem:vis,
12133  author	= {Ewing L. Lusk},
12134  title		= {Performance Visualization for Parallel Programs},
12135  institution	= {Argonne National Laboratory},
12136  number	= {ANL/MCS--P287--0192},
12137  year		= {1991},
12138  note		= {(to appear in {\em Theoretica Chimica Acta})}
12139}
12140
12141@TechReport{	  picltrace,
12142  author	= {P.~H.~Worley},
12143  title		= {A new {PICL} trace file format},
12144  institution	= {Oak Ridge National Laboratory},
12145  number	= {ORNL TM-12125},
12146  month		= jun,
12147  year		= {1992}
12148}
12149
12150@InProceedings{	  hideo,
12151  author	= {Gary Olsen and Carl Woese and Ray Hagstrom and Hideo Matsuda and Ross Overbeek},
12152  title		= {Inference of Phylogenetic trees using maximum likelihood},
12153  booktitle	= {Proceedings of the First Intel Delta Applications Workshop},
12154  year		= {1992},
12155  pages		= {247--262}
12156}
12157
12158@InProceedings{	  dw90,
12159  author	= {M. Dryja and O. Widlund},
12160  title		= {Towards a Unified Theory of Domain Decomposition Algorithms for Elliptic
12161		  Problems},
12162  booktitle	= {Third International Symposium on Domain Decomposition Methods},
12163  editor	= {T. F. Chan and R. Glowinski and J. P\'eriaux and O. B. Widlund},
12164  year		= {1990},
12165  pages		= {3-21},
12166  publisher	= {SIAM},
12167  address	= {Philadelphia},
12168  annote	= {Additive {S}chwarz. Surveys recent (1989) results; some comments on 3-d and how
12169		  many approaches may be cast in the form of additive {S}chwarz-subspace form. 58
12170		  references, good introduction to the theory. No computations},
12171  key		= {DryjaWidlund90 !AS}
12172}
12173
12174@Unpublished{	  rosing,
12175  author	= {Matt Rosing and Joel Saltz},
12176  title		= {Low Latency Messages on Distributed Memory Multiprocessors},
12177  key		= {LowLatency},
12178  note		= {manuscript, 1992}
12179}
12180
12181@TechReport{	  jp:incomplete,
12182  author	= {Mark T. Jones and Paul E. Plassmann},
12183  title		= {An Improved Incomplete {C}holesky Factorization},
12184  institution	= {Argonne National Laboratory},
12185  address	= {Argonne, IL},
12186  type		= {Preprint},
12187  note		= {(to appear in {\em ACM Trans. on Mathematical Software, 1995})},
12188  number	= {MCS-P206-0191},
12189  year		= {1991},
12190  key		= {jones}
12191}
12192
12193@InCollection{	  jp:ima,
12194  author	= {Mark Jones and Paul Plassmann},
12195  title		= {The Efficient Parallel Iterative Solution of Large Sparse Linear Systems},
12196  booktitle	= {Graph Theory and Sparse Matrix Computation},
12197  publisher	= {Springer-Verlag},
12198  series	= {The IMA Volumes in Mathematics and Its Applications},
12199  editor	= {Alan George and John Gilbert and Joseph W.H.~Liu},
12200  volume	= {56},
12201  year		= {1993},
12202  pages		= {229--245}
12203}
12204
12205@Article{	  pw98,
12206  author	= {M. Pernice and H. F. Walker},
12207  title		= {{NITSOL}: A {Newton} Iterative Solver for Nonlinear Systems},
12208  journal	= {SIAM J. Sci. Stat. Comput.},
12209  year		= {1998},
12210  volume	= {19},
12211  pages		= {302--318}
12212}
12213
12214@TechReport{	  ysmp83,
12215  key		= {Eisenstat},
12216  author	= {S.~C.~Eisenstat and H.~C.~Elman and M.~H.~Schultz and A.~H.~Sherman},
12217  title		= {The (New) {Y}ale {S}parse {M}atrix {P}ackage},
12218  institution	= {Department of Computer Science, Yale University},
12219  number	= {YALE/DCS/RR-265},
12220  month		= apr,
12221  year		= {1983}
12222}
12223
12224@InBook{	  ysmp84,
12225  author	= {S.~C.~Eisenstat and H.~C.~Elman and M.~H.~Schultz and A.~H.~Sherman},
12226  chaptertitle	= {The (New) {Y}ale {S}parse {M}atrix {P}ackage},
12227  title		= {Elliptic Problem Solvers II},
12228  publisher	= {Academic Press},
12229  pages		= {45--52},
12230  editors	= {G. Birkhoff and A. Schoenstadt},
12231  year		= {1984}
12232}
12233
12234@TechReport{	  sparsekit,
12235  key		= {Saad},
12236  author	= {Youcef Saad},
12237  title		= {{SPARSKIT}, a basic tool kit for sparse matrix computations},
12238  institution	= {Center for Supercomputing Research and Development, University of Illinois at
12239		  Urbana-Champaign},
12240  number	= {1029},
12241  year		= {1990}
12242}
12243
12244@TechReport{	  pde-user-ref,
12245  author	= {Barry F. Smith},
12246  title		= {Extensible {PDE} Solvers Package Users Manual},
12247  institution	= {Argonne National Laboratory},
12248  month		= sep,
12249  year		= {1994},
12250  number	= {ANL-93/40},
12251  key		= {Smith94 ! PDE}
12252}
12253
12254@TechReport{	  bs-user-ref,
12255  author	= {Mark T. Jones and Paul E. Plassmann},
12256  title		= {{BlockSolve95} Users Manual: Scalable Library Software for the Parallel Solution
12257		  of Sparse Linear Systems},
12258  institution	= {Argonne National Laboratory},
12259  month		= dec,
12260  year		= {1995},
12261  number	= {ANL-95/48}
12262}
12263
12264@TechReport{	  snes-user-ref,
12265  author	= {William D. Gropp and Lois Curfman McInnes and Barry F. Smith},
12266  title		= {Using the {S}calable {N}onlinear {E}quations {S}olvers Package},
12267  institution	= {Argonne National Laboratory},
12268  month		= feb,
12269  year		= {1995},
12270  number	= {ANL/MCS-TM-193},
12271  key		= {GroppMcInnesSmith95 ! SNES}
12272}
12273
12274@TechReport{	  sles-user-ref,
12275  author	= {William D. Gropp and Barry F. Smith},
12276  title		= {{S}implified {L}inear {E}quation {S}olvers Users Manual},
12277  institution	= {Argonne National Laboratory},
12278  month		= mar,
12279  year		= {1993},
12280  number	= {ANL-93/8},
12281  key		= {GroppSmith93 ! SLES}
12282}
12283
12284@TechReport{	  chameleon-user-ref,
12285  author	= {William D. Gropp and Barry F. Smith},
12286  title		= {Chameleon Parallel programming tools Users Manual},
12287  institution	= {Argonne National Laboratory},
12288  month		= mar,
12289  year		= {1993},
12290  number	= {ANL-93/23},
12291  key		= {GroppSmith93 ! Chameleon}
12292}
12293
12294@Article{	  euclid2,
12295  author	= {D. Hysom and A. Pothen},
12296  title		= {A Scalable Parallel Algorithm For Incomplete Factor Preconditioning},
12297  journal	= {SIAM J. Sci. Comput.},
12298  volume	= {22},
12299  number	= {6},
12300  pages		= {2194--2215}
12301}
12302
12303@TechReport{	  euclid1,
12304  author	= {D. Hysom and A. Pothen},
12305  title		= {Euclid User Manual (A Scalable {ILU} Preconditioning Library for the Parallel
12306		  Solution of Sparse Linear Systems)},
12307  institution	= {Old Dominion University},
12308  year		= {2001}
12309}
12310
12311@TechReport{	  ksp-user-ref,
12312  author	= {William D. Gropp and Barry F. Smith},
12313  title		= {Users Manual for {KSP}: Data-Structure-Neutral Codes Implementing {K}rylov Space
12314		  Methods},
12315  institution	= {Argonne National Laboratory},
12316  month		= aug,
12317  year		= {1993},
12318  number	= {ANL-93/30},
12319  key		= {GroppSmith93 ! KSP}
12320}
12321
12322@TechReport{	  mpi-chameleon,
12323  author	= {William D. Gropp and Ewing Lusk},
12324  title		= {A Test Implementation of the {MPI} Draft Message-Passing Standard},
12325  institution	= {Argonne National Laboratory},
12326  month		= dec,
12327  year		= {1992},
12328  number	= {ANL-92/47},
12329  key		= {GroppLusk92 ! MPI}
12330}
12331
12332@TechReport{	  blockcomm-fortran,
12333  author	= {William D. Gropp},
12334  title		= {Block{C}omm for {F}ortran},
12335  institution	= {Argonne National Laboratory},
12336  month		= may,
12337  year		= {1993},
12338  number	= {ANL-93/00 (to appear)},
12339  key		= {Gropp93 ! BlockComm}
12340}
12341
12342@TechReport{	  autodocument,
12343  author	= {William D. Gropp},
12344  title		= {Automatic documentation of {C} programs},
12345  institution	= {Argonne National Laboratory},
12346  month		= may,
12347  year		= {1993},
12348  number	= {ANL-93/00},
12349  key		= {Gropp93 ! Autodoc}
12350}
12351
12352@TechReport{	  zipcode,
12353  author	= {Anthony Skjellum and Steven G. Smith and Charles H Still and Alvin P. Leung and
12354		  Manfred Morari},
12355  title		= {The {Z}ipcode message-passing system},
12356  institution	= {Lawrence Livermore National Laboratory},
12357  month		= sep,
12358  year		= {1992},
12359  number	= {Unpublished},
12360  key		= {Skjellum92 ! Zipcode}
12361}
12362
12363@Article{	  paragraph,
12364  author	= {Michael T. Heath and Jennifer Etheridge Finger},
12365  title		= {Visualizing performance of parallel programs},
12366  journal	= {IEEE Software},
12367  volume	= {8},
12368  number	= {5},
12369  month		= sep,
12370  year		= {1991},
12371  pages		= {29--39},
12372  key		= {Heath91 ! Paragraph}
12373}
12374
12375@Article{	  gropp90,
12376  author	= {William Gropp and Edward Smith},
12377  title		= {Computational Fluid Dynamics on Parallel Processors},
12378  journal	= {Computers and Fluids},
12379  volume	= {18},
12380  year		= {1990},
12381  pages		= {289--304},
12382  key		= {Gropp90 ! performance}
12383}
12384
12385@Article{	  foster92,
12386  author	= {Ian Foster and William Gropp and Rick Stevens},
12387  title		= {The parallel scalability of the spectral transform method},
12388  journal	= {Monthly Weather Review},
12389  volume	= {120},
12390  year		= {1992},
12391  pages		= {835--850},
12392  key		= {Foster92 ! performance}
12393}
12394
12395@InBook{	  fgn,
12396  author	= {R. Freund and G. H. Golub and N. Nachtigal},
12397  title		= {Iterative Solution of Linear Systems},
12398  series	= {Acta Numerica},
12399  year		= {1992},
12400  publisher	= {Cambridge University Press},
12401  pages		= {57--100}
12402}
12403
12404@TechReport{	  nachtigal90,
12405  author	= {No{\"e}l M. Nachtigal and Satish C. Reddy and Lloyd N. Trefethen},
12406  title		= {How Fast are Nonsymmetric Matrix Iterations?},
12407  institution	= {Massachusetts Institute of Technology},
12408  month		= mar,
12409  year		= {1990},
12410  number	= {90-2},
12411  key		= {Nachtigal | Krylov}
12412}
12413
12414@Article{	  nachtigal1992fnm,
12415  title		= {How Fast are Nonsymmetric Matrix Iterations?},
12416  author	= {Nachtigal, N.M. and Reddy, S.C. and Trefethen, L.N.},
12417  journal	= {SIAM Journal on Matrix Analysis and Applications},
12418  volume	= {13},
12419  pages		= {778},
12420  year		= {1992},
12421  publisher	= {SIAM}
12422}
12423
12424@TechReport{	  embree1999descriptive,
12425  title		= {How descriptive are {GMRES} convergence bounds},
12426  author	= {Embree, M.},
12427  year		= {1999},
12428  number	= {08},
12429  institution	= {Oxford University Computing Laboratory}
12430}
12431
12432@Article{	  vorst92,
12433  author	= {H. van der Vorst},
12434  title		= {Bi-{CGSTAB}: A fast and smoothly converging variant of {Bi-CG} for the solution
12435		  of nonsymmetric linear systems},
12436  journal	= {SIAM J. Sci. Stat. Comput.},
12437  year		= {1992},
12438  volume	= {13},
12439  pages		= {631--644}
12440}
12441
12442@Article{	  eisenstat81,
12443  author	= {S. Eisenstat},
12444  title		= {Efficient Implementation of a Class of {CG} Methods},
12445  journal	= {SIAM J. Sci. Stat. Comput.},
12446  year		= {1981},
12447  volume	= {2},
12448  pages		= {1--4}
12449}
12450
12451@Manual{	  ibm-essl,
12452  title		= {{E}ngineering and {S}cientific {S}ubroutine {L}ibrary Version 2: Guide and
12453		  Reference},
12454  organization	= {IBM},
12455  year		= {1992},
12456  key		= {IBM-ESSL}
12457}
12458
12459@Manual{	  ibm-eui,
12460  title		= {{IBM} {AIX} Parallel Environment Parallel Programming Subroutine Reference
12461		  Release 2.0},
12462  organization	= {IBM},
12463  month		= jun,
12464  year		= {1994},
12465  key		= {IBM-EUI}
12466}
12467
12468@Manual{	  ibm-euih,
12469  title		= {Using {EUIH}: An Experimental {EUI} Implementation},
12470  organization	= {IBM},
12471  author	= {Peter Hochschild},
12472  year		= {1993},
12473  key		= {IBM-EUIH}
12474}
12475
12476@TechReport{	  mpi,
12477  title		= {Document for a Standard Message-Passing Interface},
12478  author	= {Message Passing Interface Forum},
12479  institution	= {University of Tennessee},
12480  number	= {CS-93-214},
12481  month		= nov,
12482  year		= {1993},
12483  key		= {MPI Standard}
12484}
12485
12486@Unpublished{	  mpi-final-web,
12487  author	= {Message Passing Interface Forum},
12488  title		= {{MPI}: A Message-Passing Interface Standard},
12489  note		= {http://www.mcs.anl.gov/mpi/mpi-report/mpi-report.html},
12490  year		= {1994},
12491  month		= may
12492}
12493
12494@Book{		  hockney-jesshope,
12495  author	= {R. W. Hockney and C. R. Jesshope},
12496  title		= {Parallel Computers 2},
12497  publisher	= {Adam Hilger},
12498  year		= {1988}
12499}
12500
12501@Book{		  cm-fortran,
12502  author	= {{Thinking Machines Corporation}},
12503  title		= {Users Manual for CM-Fortran},
12504  publisher	= {Thinking Machines Corporation},
12505  year		= {1993}
12506}
12507
12508@TechReport{	  chang93,
12509  title		= {Experiments and Bounds on Block Diagonal Preconditioning},
12510  author	= {Mark Yan-Ming Chang and Martin H. Schultz},
12511  institution	= {Yale Department of Computer Science},
12512  number	= {YALEU/DCS/RR-994},
12513  month		= nov,
12514  year		= {1993},
12515  key		= {BDD|diag}
12516}
12517
12518@InProceedings{	  gropplevine93,
12519  author	= {N. Galbreath and W. Gropp and D. Levine},
12520  title		= {Applications-Driven Parallel {I/O}},
12521  booktitle	= {Proceedings of Supercomputing '93},
12522  year		= {1993},
12523  pages		= {462--471}
12524}
12525
12526@Book{		  siegle85,
12527  author	= {H. J. Siegel},
12528  title		= {Interconnection Networks for Large Scale Parallel Processing},
12529  publisher	= {Lexington Books},
12530  year		= {1985},
12531  key		= {Network Comparison}
12532}
12533
12534@Article{	  lawrie75,
12535  author	= {D. H. Lawrie},
12536  title		= {Access and alignment of data in an array processor},
12537  journal	= {IEEE Transactions on Computers},
12538  volume	= {C-24},
12539  number	= {12},
12540  month		= dec,
12541  year		= {1975},
12542  pages		= {1145--1155},
12543  key		= {Omega Network}
12544}
12545
12546@Book{		  knuth1986,
12547  title		= {The {\TeX}{Book}},
12548  author	= {Donald Ervin Knuth and Duane Bibby},
12549  volume	= {1993},
12550  year		= {1986},
12551  publisher	= {Addison-Wesley Reading, Massachusetts}
12552}
12553
12554@Book{		  lamport86,
12555  author	= {Leslie Lamport},
12556  title		= {{LaTeX}: A document preparation system},
12557  publisher	= {Addison-Wesley},
12558  year		= {1986},
12559  key		= {Latex Manual}
12560}
12561
12562@InProceedings{	  gropp-lusk:unix-tools,
12563  author	= {William Gropp and Ewing Lusk},
12564  title		= {Scalable {U}nix Tools on Parallel Processors},
12565  booktitle	= {Proceedings of the 1994 Scalable High Performanc Computing Conference},
12566  publisher	= {IEEE},
12567  pages		= {56--62}
12568}
12569
12570@InProceedings{	  jp:bell_prize,
12571  author	= {Mark Jones and Paul Plassmann},
12572  title		= {Solution of Large, Sparse Systems of Linear Equations in Massively Parallel
12573		  Applications},
12574  booktitle	= {Proceedings of Supercomputing '92},
12575  publisher	= {IEEE Computer Society Press},
12576  year		= {1992},
12577  pages		= {551--560}
12578}
12579
12580@COMMENT{WEB, CWEB references (for doctext)}
12581@TechReport{	  web,
12582  author	= {Donald E. Knuth},
12583  title		= {The {\tt WEB} system of structured documentation},
12584  institution	= {Computer Science Department, Stanford University},
12585  year		= {1983},
12586  number	= {980},
12587  month		= sep
12588}
12589
12590@Article{	  literatepgm,
12591  author	= {Donald E. Knuth},
12592  title		= {Literate Programming},
12593  journal	= {Computer Journal},
12594  year		= {1984},
12595  volume	= {27},
12596  number	= {2},
12597  pages		= {91--111}
12598}
12599
12600@Unpublished{	  cweb-code,
12601  author	= {Silvio Levy and Donald E. Knuth},
12602  title		= {CWEB},
12603  note		= {CWEB is available at ftp://pip.shsu.edu/tex-archive/web/c\_cpp/cweb}
12604}
12605
12606@Article{	  jp:scalable,
12607  author	= {Mark Jones and Paul Plassmann},
12608  title		= {Scalable Iterative Solution of Sparse Linear Systems},
12609  journal	= {Parallel Computing},
12610  volume	= {20},
12611  number	= {5},
12612  month		= {May},
12613  year		= {1994},
12614  pages		= {753--773}
12615}
12616
12617@Article{	  jp:pcolor,
12618  author	= {Mark T. Jones and Paul E. Plassmann},
12619  title		= {A Parallel Graph Coloring Heuristic},
12620  journal	= {SIAM J. Sci. Comput.},
12621  volume	= {14},
12622  number	= {3},
12623  pages		= {654-669},
12624  year		= {1993}
12625}
12626
12627@TechReport{	  block_solve,
12628  author	= {Mark T. Jones and Paul E. Plassmann},
12629  title		= {{B}lock{S}olve v1.1: Scalable Library Software for the Parallel Solution of
12630		  Sparse Linear Systems},
12631  institution	= {Argonne National Laboratory},
12632  year		= {1992},
12633  number	= {ANL-92/46},
12634  key		= {JonesPlassmann92 ! block_solve}
12635}
12636
12637@InProceedings{	  supercond,
12638  author	= {Lois Curfman Mc{I}nnes and Mario Palumbo},
12639  title		= {Parallel Solution of the Anisotropic {G}inzburg-{L}andau Model},
12640  booktitle	= {Proceedings of the Toward Teraflop Computing and New Grand Challenge Applications
12641		  Conference},
12642  month		= feb,
12643  year		= {1994},
12644  key		= {McInnesPalumbo94 ! superconductivity }
12645}
12646
12647@Unpublished{	  preosti:93,
12648  author	= {Gianfranco Preosti},
12649  title		= { },
12650  note		= {Unpublished information, {P}hysics {D}epartment, {P}urdue {U}niversity},
12651  year		= {1993},
12652  key		= {preosti93 ! GL-tilt3d}
12653}
12654
12655@Unpublished{	  more:93,
12656  author	= {Jorge J. Mor\'{e}},
12657  title		= { },
12658  note		= {Unpublished information, {M}athematics and {C}omputer {S}cience {D}ivision,
12659		  {A}rgonne {N}ational {L}aboratory},
12660  year		= {1993},
12661  key		= {more93 ! MINPACK-2}
12662}
12663
12664@Article{	  brownsaad:90,
12665  author	= {Peter N. Brown and Youcef Saad},
12666  title		= {Hybrid {K}rylov Methods for Nonlinear Systems of Equations},
12667  journal	= {SIAM J. Sci. Stat. Comput.},
12668  year		= {1990},
12669  volume	= {11},
12670  pages		= {450-481}
12671}
12672
12673@Book{		  using-mpi,
12674  author	= {William Gropp and Ewing Lusk and Anthony Skjellum},
12675  title		= {Using MPI: Portable Parallel Programming with the Message Passing Interface},
12676  publisher	= {MIT Press},
12677  year		= {1994}
12678}
12679
12680@Book{		  using-mpi2,
12681  author	= {William Gropp and Ewing Lusk and Rajeev Thakur},
12682  title		= {Using MPI 2: Advanced Features of the Message Passing Interface},
12683  publisher	= {MIT Press},
12684  year		= {1999}
12685}
12686
12687@Article{	  hs:52,
12688  author	= {Magnus R. Hestenes and Eduard Steifel},
12689  title		= {Methods of Conjugate Gradients for Solving Linear Systems},
12690  journal	= {J. Research of the National Bureau of Standards},
12691  year		= {1952},
12692  volume	= {49},
12693  pages		= {409-436}
12694}
12695
12696@Article{	  ss:86,
12697  author	= {Youcef Saad and Martin H. Schultz},
12698  title		= {{GMRES}: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear
12699		  Systems},
12700  journal	= {SIAM J. Sci. Stat. Comput.},
12701  year		= {1986},
12702  volume	= {7},
12703  pages		= {856-869}
12704}
12705
12706@Article{	  so:89,
12707  author	= {Peter Sonneveld},
12708  title		= {{CGS}, A Fast {L}anczos-type Solver for Nonsymmetric Linear Systems},
12709  journal	= {SIAM J. Sci. Stat. Comput.},
12710  year		= {1989},
12711  volume	= {10},
12712  pages		= {36-52}
12713}
12714
12715@Article{	  v:92,
12716  author	= {{H. A.} {van der Vorst}},
12717  title		= {{B}i{CGSTAB}: A fast and smoothly converging variant of {B}i{CG} for the solution
12718		  of nonsymmetric linear systems},
12719  journal	= {SIAM J. Sci. Stat. Comput.},
12720  volume	= {13},
12721  year		= {1992},
12722  pages		= {631-644}
12723}
12724
12725@Article{	  f:93,
12726  author	= {Roland W. Freund},
12727  title		= {A Transpose-Free Quasi-Minimal Residual Algorithm for Non-{H}ermitian Linear
12728		  Systems},
12729  journal	= {SIAM J. Sci. Stat. Comput.},
12730  volume	= {14},
12731  year		= {1993},
12732  pages		= {470-482}
12733}
12734
12735@Article{	  ish:89,
12736  author	= {S. Ishizuka},
12737  title		= {An Experimental Study on Extinction and Stablity of Tubular Flames},
12738  journal	= {Combustion and Flame},
12739  volume	= {75},
12740  year		= {1989},
12741  pages		= {367-379}
12742}
12743
12744@Book{		  williams89,
12745  title		= {Combustion Theory, The Fundamental Theory of Chemically Reacting Flow Systems},
12746  author	= {F.A. Williams},
12747  publisher	= {Addison-Wesley},
12748  year		= {1989},
12749  pages		= {367-379}
12750}
12751
12752@Book{		  ra75,
12753  author	= {R. Aris},
12754  title		= {The Mathematical Theory of Diffusion and Reaction in Permeable Catalysts},
12755  publisher	= {Oxford},
12756  year		= {1975}
12757}
12758
12759@Book{		  bebernes89,
12760  author	= {J. Bebernes and D. Eberly},
12761  title		= {Mathematical Problems from Combustion Theory},
12762  publisher	= {Springer-Verlag},
12763  series	= {Applied Mathematical Sciences 83},
12764  year		= {1989}
12765}
12766
12767@InProceedings{	  kikuchi89,
12768  author	= {F. Kikuchi},
12769  booktitle	= { Computing Methods in Applied Sciences and Engineering},
12770  editor	= {R. Glowinski and J. L. Lions},
12771  publisher	= {Springer-Verlag},
12772  series	= {Lecture Notes in Mathematics},
12773  title		= {Finite element approximations to bifurcation problems of turning point type},
12774  year		= {1977}
12775}
12776
12777@Article{	  rg85,
12778  author	= {R. Glowinski and H.B. Keller and L. Reinhart},
12779  title		= {Continuation-conjugate Gradient Methods fo the Least Squares Solution of
12780		  Nonlinear Boundary Problems},
12781  journal	= {SIAM J. Sci. Stat. Comput.},
12782  volume	= {6},
12783  year		= {1985},
12784  pages		= {793-832}
12785}
12786
12787@InProceedings{	  whitfield91,
12788  author	= {D. Whitfield and L. Taylor},
12789  title		= {Discretized {N}ewton-Relaxation Solution of High Resolution Flux-Difference Split
12790		  Schemes},
12791  booktitle	= {Proceedings of the AIAA Tenth Computational Fluid Dynamics Conference},
12792  misc		= {AIAA-91-1539},
12793  pages		= {134-145},
12794  year		= {1991}
12795}
12796
12797@InProceedings{	  quinlan1,
12798  author	= {M. Lemke and D. Quinlan},
12799  title		= {P++, a {C}++ Virtual Shared Grids Based Programming Environment for
12800		  Architecture-Independent Development of Structured Grid Applications},
12801  booktitle	= {CONPAR/VAPP V, Lecture Notes in Computer Science},
12802  publisher	= {Springer Verlag},
12803  year		= {1992}
12804}
12805
12806@InProceedings{	  quinlan2,
12807  author	= {R. Parsons and D. Quinlan},
12808  title		= {A++/{P}++ Array Classes for Architecture Independent Finite Difference
12809		  Computations},
12810  booktitle	= {Proceedings of the Second Annual Object-Oriented Numerics Conference},
12811  year		= {1994}
12812}
12813
12814% *****  Overview of functionality in Diffpack
12815@InBook{	  dpoverview,
12816  author	= {Bruaset, A. M. and Langtangen, H. P.},
12817  booktitle	= {Mathematical Models and Software Tools in Industrial Mathematics},
12818  title		= {A Comprehensive Set of Tools for Solving Partial Differential Equations;
12819		  {Diffpack}},
12820  publisher	= {Birkh{\"{a}}user},
12821  pages		= {61--90},
12822  year		= {1997}
12823}
12824
12825% *****  Short overview of Diffpack
12826@InCollection{	  dpoverview2,
12827  author	= {Bruaset, A. M. and Langtangen, H. P.},
12828  editor	= {A. Sydow},
12829  booktitle	= {Proceedings of the 15th IMACS World Congress on Scientific Computation, Modelling
12830		  and Applied Mathematics},
12831  title		= {Diffpack: A Software Environment for Rapid Prototyping of {PDE} Solvers},
12832  pages		= {553--558},
12833  volume	= {4},
12834  year		= {1997}
12835}
12836
12837% *****  Comprehensive documentation of Diffpack and
12838%        associated numerical methods:
12839@Book{		  dpbook,
12840  author	= {H. P. Langtangen},
12841  title		= {Numerical Solution of Partial Differential Equations; Models, Algorithms and
12842		  Software. Part I},
12843  series	= {Lecture Notes in Computational Science and Engineering},
12844  publisher	= {Springer-Verlag},
12845  year		= {1998}
12846}
12847
12848% *****  Design issues of the linear solvers in Diffpack, serves also as a
12849%        collection of examples on O-O in numerical computing
12850@Article{	  ambhpl97a,
12851  author	= {A. M. Bruaset and H. P. Langtangen },
12852  title		= {Object-Oriented Design of Preconditioned Iterative Methods in {Diffpack}},
12853  journal	= {Transactions on Mathematical Software},
12854  volume	= {23 },
12855  pages		= {50--80},
12856  year		= {1997}
12857}
12858
12859@Misc{		  dpurl,
12860  author	= {{Diffpack Web page}},
12861  howpublished	= {\url{http://www.diffpack.com}}
12862}
12863
12864% *****  General intro to object-oriented numerics for "FORTRAN programmers"
12865@InCollection{	  oonintro,
12866  author	= {Arge, E. and Bruaset, A. M. and H. P. Langtangen},
12867  editor	= {D{\ae}hlen, M. and Tveito, A.},
12868  booktitle	= {Mathematical Models and Software Tools in Industrial Mathematics},
12869  title		= {Object-Oriented Numerics},
12870  publisher	= {Birkh{\"{a}}user},
12871  year		= {1997}
12872}
12873
12874% *****  Efficiency comparison: BLAS 1, Diffpack, C,
12875%        and finite element applications (F77 vs Diffpack)
12876@InCollection{	  dpefficiency,
12877  author	= {Arge, E. and Bruaset, A. M. and Calvin, P. B. and Kanney, J. F. and Langtangen,
12878		  H. P. and Miller, C. T.},
12879  editor	= {D{\ae}hlen, M. and Tveito, A.},
12880  booktitle	= {Mathematical Models and Software Tools in Industrial Mathematics},
12881  title		= {On the Efficiency of {C++} in Scientific Computing},
12882  publisher	= {Birkh{\"{a}}user},
12883  pages		= {91--118},
12884  year		= {1997}
12885}
12886
12887% ***** Parallel concept in Diffpack:
12888@InCollection{	  dpparallel,
12889  author	= {A.~M.~Bruaset and X. Cai and H. P. Langtangen and A. Tveito},
12890  editor	= {Y. Ishikawa and R. R. Oldehoeft and J. V. W. Reynders and M. Tholburn},
12891  booktitle	= {Scientific Computing in Object-Oriented Parallel Environments},
12892  title		= {Numerical Solution of {PDE}s on Parallel Computers Utilizing Sequential
12893		  Simulators},
12894  publisher	= {Springer--Verlag},
12895  series	= {Lecture Notes in Computer Science},
12896  pages		= {161--168},
12897  year		= {1997}
12898}
12899
12900% ***** DD and ML methods in Diffpack:
12901@InCollection{	  dpddml,
12902  author	= {A.~M.~Bruaset and H. P. Langtangen and G. W. Zumbusch},
12903  editor	= {P. Bj{\o}rstad and M. Espedal and D. Keyes},
12904  booktitle	= {Proceedings of the 9th Conference on Domain Decomposition},
12905  title		= {Domain decomposition and multilevel methods in Diffpack},
12906  year		= {1997}
12907}
12908
12909@InProceedings{	  bsca98,
12910  author	= {David L. Bruhwiler and Svetlana G. Shasharina and John R. Cary and David
12911		  Alexander},
12912  title		= {Design and Implementation of an Object Oriented C++ Library for Nonlinear
12913		  Optimization},
12914  booktitle	= {Proceedings of the SIAM Workshop on Object Oriented Methods for Inter-operable
12915		  Scientific and Engineering Computing},
12916  editor	= {Mike Henderson et al.},
12917  pages		= {165-173},
12918  year		= {1998}
12919}
12920
12921@Book{		  scalapack-user-guide,
12922  author	= {L. S. Blackford and J. Choi and A. Cleary and E. D'Azevedo and J. Demmel and I.
12923		  Dhillon and J. Dongarra and S. Hammarling and G. Henry and A. Petitet and K.
12924		  Stanley and D. Walker and R. C. Whaley},
12925  title		= {Sca{LAPACK} Users' Guide},
12926  publisher	= {SIAM},
12927  address	= {Philadelphia, PA},
12928  year		= {1997}
12929}
12930
12931@InProceedings{	  keyes99,
12932  author	= {D. E. Keyes},
12933  title		= {How Scalable is Domain Decomposition in Practice?},
12934  booktitle	= {Proceedings of the 11th International Conference on Domain Decomposition
12935		  Methods},
12936  editor	= {C.-H. Lai et al.},
12937  publisher	= {Domain Decomposition Press, Bergen},
12938  note		= {To appear},
12939  year		= {1999}
12940}
12941
12942@Article{	  fun3d,
12943  author	= {W. K. Anderson and D. L. Bonhaus},
12944  title		= {An implicit upwind algorithm for computing turbulent flows on unstructured
12945		  grids},
12946  journal	= {Computers and Fluids},
12947  year		= {1994},
12948  volume	= {23},
12949  pages		= {1--21}
12950}
12951
12952% -------------------------------------------------------------------------
12953% -------------------------------------------------------------------------
12954@Article{	  torczon,
12955  author	= {Dennis, Jr., J. E. and V.~Torczon},
12956  title		= {Direct Search Methods on Parallel Machines},
12957  journal	= {SIAM J. Optimization},
12958  volume	= {1},
12959  pages		= {448--474},
12960  year		= {1991},
12961  key		= {Torczon !PDS}
12962}
12963
12964@InProceedings{	  wt91,
12965  author	= {D. L. Whitfield and L. K. Taylor},
12966  title		= {Discretized {N}ewton-Relaxation Solution of High Resolution Flux-Difference Split
12967		  Schemes},
12968  booktitle	= {Proceedings of the AIAA Tenth Annual Computational Fluid Dynamics Conference},
12969  misc		= {AIAA-91-1539},
12970  pages		= {134-145},
12971  year		= {1991}
12972}
12973
12974@Article{	  ew96,
12975  author	= {S. C. Eisenstat and H. F. Walker},
12976  title		= {Choosing the forcing terms in an inexact {N}ewton method},
12977  journal	= {SIAM J. Scientific Computing},
12978  volume	= {17},
12979  year		= {1996},
12980  pages		= {16--32}
12981}
12982
12983@Book{		  thi93,
12984  author	= {{Thinking Machines Corporation}},
12985  title		= {Users Manual for CM-Fortran},
12986  publisher	= {Thinking Machines Corporation},
12987  year		= {1993}
12988}
12989
12990@Book{		  mortonmayers94,
12991  author	= {K. W. Morton and D. F. Mayers},
12992  title		= {Numerical Solution of Partial Differential Equations},
12993  publisher	= {Press Syndicate of the University of Cambridge},
12994  year		= {1994}
12995}
12996
12997@Book{		  heath97,
12998  author	= {Michael T. Heath},
12999  title		= {Scientific Computing: An Introductory Survey},
13000  publisher	= {McGraw Hill},
13001  year		= {1997}
13002}
13003
13004@Article{	  captools96,
13005  author	= {C. S. Ierotheou and S. P Johnson and M. Cross and P. F. Leggett},
13006  title		= {Computer Aided Parallelization Tools ({CAPTools}) - Conceptual Overview and
13007		  Performance on the Parallelization of Structured Mesh Codes},
13008  journal	= {Parallel Computing},
13009  volume	= {22},
13010  pages		= {197-226},
13011  year		= {1996}
13012}
13013
13014@Unpublished{	  nastran-web-page,
13015  author	= {{MSC Software Corporation}},
13016  title		= {{NASTRAN} {W}eb page},
13017  note		= {See {\tt http://www.mechsolutions.com\-/products\-/nastran/}}
13018}
13019
13020@Book{		  hpf,
13021  author	= {C. H. Koelbel and D. B. Loveman and R. S. Schreiber and G. L. Steele and M. E.
13022		  Zosel},
13023  title		= {The High Performance Fotran Handbook},
13024  publisher	= {MIT Press},
13025  year		= {1994}
13026}
13027
13028@InProceedings{	  keyes98,
13029  author	= {D. E. Keyes},
13030  title		= {Trends in Algorithms for Nonuniform Applications on Hierarchical Distributed
13031		  Architectures},
13032  booktitle	= {Proceedings of the Workshop on Computational Aerosciences for the 21st Century},
13033  editors	= {M. D. Salas and W. K. Anderson},
13034  ppublisher	= {Elsevier},
13035  year		= {1998}
13036}
13037
13038@InProceedings{	  pooma-atlas,
13039  author	= {S. Atlas and S. Banerjee and J. C. Cummings and P. J. Hinker and M. Srikant and
13040		  J. V. W. Reynders and M. Tholburn},
13041  title		= {{POOMA}: A High-Performance Distributed Simulation Environment for Scientific
13042		  Applications},
13043  year		= {1995},
13044  month		= {December},
13045  booktitle	= {Supercomputing '95 Proceedings}
13046}
13047
13048% ---------------------------------------------------------------------------------
13049% New bib entries for CRPC paper
13050@Misc{		  mgnet-web-page,
13051  author	= {Craig C. Douglas},
13052  title		= {{MGNet Web page}},
13053  note		= {See {\tt http://\-www.mgnet.org}}
13054}
13055
13056@Misc{		  dagh-web-page,
13057  author	= {M. Parashar and J. C. Browne},
13058  title		= {{DAGH Web page}},
13059  note		= {\url{http://www.caip.rutgers.edu/~parashar/DAGH}}
13060}
13061
13062@Misc{		  parasol-web-page,
13063  key		= {PARASOL},
13064  title		= {{PARASOL Web page}},
13065  note		= {See {\tt http://\-www.genias.de/\-projects/\-parasol}}
13066}
13067
13068@Misc{		  pooma-web-page,
13069  author	= {{POOMA Web page}},
13070  note		= {See {\tt http://\-www.acl.lanl.gov/pooma}}
13071}
13072
13073@Misc{		  mudpack-web-page,
13074  author	= {John C. Adams},
13075  title		= {{MUDPACK Web page}},
13076  note		= {See {\tt http://\-www.scd.ucar.edu/\-css/\-software/\-mudpack}}
13077}
13078
13079@Misc{		  pellpack-web-page,
13080  author	= {Elias Houstis and John Rice and Apostolos Hadjidimos},
13081  title		= {{Parallel ELLPACK Web page}},
13082  note		= {See {\tt http://\-www.cs.purdue.edu/\-research/\-cse/\-pellpack/}}
13083}
13084
13085@InProceedings{	  pellpack95,
13086  author	= {E. N. Houstis and S. B. Kim and S. Markus and P. Wu and N. E. Houstis and A.C.
13087		  Catlin and S. Weerawarana and T.S. Papatheodorou},
13088  title		= {Parallel {ELLPACK} Elliptic {PDE} Solvers},
13089  booktitle	= {Proceedings of INTEL Supercomputer User's Group Conference},
13090  address	= {Albuquerque, NM},
13091  year		= {1995}
13092}
13093
13094@Misc{		  nhse-web-page,
13095  author	= {{National High-Performance Software Exchange Web page}},
13096  note		= {See {\tt http://\-www.nhse.org}}
13097}
13098
13099@Misc{		  doug-web-page,
13100  author	= {Mark J. Hagger and Linda Stals},
13101  title		= {{DOUG Web Page}},
13102  note		= {See {\tt http://\-www.maths.bath.ac.uk/\~{ }parsoft/\-doug/}}
13103}
13104
13105@TechReport{	  doug97,
13106  author	= {Mark J. Hagger},
13107  title		= {Automatic Domain Decomposition on Unstructured Grids {(DOUG)}},
13108  institution	= {Mathematical Sciences, University of Bath},
13109  year		= {1997},
13110  number	= {9706},
13111  note		= {Advances in Computational Mathematics (to appear)}
13112}
13113
13114@Misc{		  ug-web-page,
13115  author	= {{UG Web Page}},
13116  note		= {See {\tt http://\-cox.iwr.uni-heidelberg.de/\~{ }ug/}}
13117}
13118
13119@Article{	  ug97,
13120  author	= {P. Bastian and K. Birken and K. Johannsen and S. Lang and N. Neuss and H.
13121		  Rentz-Reichert and C. Wieners},
13122  title		= {{UG} -- A Flexible Software Toolbox for Solving Partial Differential Equations},
13123  journal	= {Computing and Visualization in Science},
13124  year		= {1997},
13125  volume	= {},
13126  pages		= {}
13127}
13128
13129@Misc{		  vecfem-web-page,
13130  author	= {Lutz Grosz},
13131  title		= {{VECFEM Web Page}},
13132  note		= {See {\tt http://\-wwwmaths.anu.edu.au/\-\~{ }vecfem/}}
13133}
13134
13135@Misc{		  atlas-web-page,
13136  author	= {R. Clint {Whaley et al.}},
13137  title		= {{ATLAS Web Page}},
13138  howpublished	= {\url{http://math-atlas.sourceforge.net}}
13139}
13140
13141@Misc{		  fenics-web-page,
13142  author	= {Todd Dupont and Johan Hoffman and Johan Jansson and Claes Johnson and Robert C.
13143		  Kirby and Matthew Knepley and Mats Larson and Anders Logg and Ridgway Scott},
13144  title		= {{FEniCS Web Page}},
13145  note		= {\url{http://www.fenicsproject.org}},
13146  year		= {2005}
13147}
13148
13149@Misc{		  matlab-web-page,
13150  author	= {{The} {MathWorks}},
13151  title		= {{Matlab} {Web} page},
13152  url		= {http://www.mathworks.com}
13153}
13154
13155@Misc{		  phipac-web-page,
13156  author	= {J. A. Bilmes and K. Asanovic and R. Vudoc and S. Iyer and J. Demmel and C. Chin
13157		  and D. Lam},
13158  title		= {{PHiPAC Web Page}},
13159  note		= {See {\tt http://\-www.icsi.berkeley.edu/\-\~{ }bilmes/\-phipac/}}
13160}
13161
13162@InProceedings{	  kelp,
13163  author	= {Stephan J. Fink and Scott B. Baden and Scott R. Kohn},
13164  title		= {Flexible Communication Mechanisms for Dynamic Structured Applications},
13165  booktitle	= {Irregular '96},
13166  year		= {1996}
13167}
13168
13169@Unpublished{	  kelp-web-page,
13170  author	= {Scott Baden},
13171  title		= {{KeLP} {W}eb page},
13172  note		= {See {\tt http://\-www-cse.ucsd.edu/\-groups/\-hpcl/\-scg/\-kelp/}}
13173}
13174
13175@InProceedings{	  hk99,
13176  author	= {R. Hornung and S. Kohn},
13177  title		= {The Use of Object-Oriented Design Patterns in the {SAMRAI} Structured {AMR}
13178		  Framework},
13179  booktitle	= {Proceedings of the SIAM Workshop on Object-Oriented Methods for Inter-Operable
13180		  Scientific and Engineering Computing},
13181  pages		= {235-244},
13182  year		= {1999},
13183  note		= {See \url{http://www.llnl.gov/CASC/samrai}}
13184}
13185
13186@Unpublished{	  samrai-web-page,
13187  title		= {{SAMRAI} {W}eb Page},
13188  author	= {Scott Kohn and Xabier Garaiza and Rich Hornung and Steve Smith},
13189  note		= {See {\tt http://www.llnl.gov/\-CASC/SAMRAI}}
13190}
13191
13192@Misc{		  overture-web-page,
13193  author	= {William Henshaw and Kyle Chand},
13194  title		= {{Overture} {W}eb page},
13195  howpublished	= {\url{http://www.llnl.gov/CASC/Overture}}
13196}
13197
13198@InProceedings{	  overture99,
13199  author	= {D.L. Brown and W.D. Henshaw and D.J. Quinlan},
13200  title		= {Overture: An Object-Oriented Framework for Solving Partial Differential Equations
13201		  on Overlapping Grids},
13202  publisher	= {SIAM},
13203  booktitle	= {Proceedings of the SIAM Workshop on Object Oriented Methods for Inter-operable
13204		  Scientific and Engineering Computing},
13205  year		= {1999},
13206  pages		= {215-224},
13207  note		= {See \url{http://www.llnl.gov/CASC/Overture}}
13208}
13209
13210@InProceedings{	  diffpack,
13211  author	= {A.M. Bruaset and H.P. Langtangen},
13212  title		= {A Comprehensive Set of Tools for Solving Partial Differential Equations:
13213		  {D}iffpack},
13214  booktitle	= {Numerical Methods and Software Tools in Industrial Mathematics},
13215  year		= {1997},
13216  pages		= {61--90},
13217  publisher	= {Birkhauser Press}
13218}
13219
13220@Article{	  dongarra:1984:ila,
13221  author	= {J. J. Dongarra and F. G. Gustavson and A. Karp},
13222  title		= {Implementing Linear Algebra Algorithms for Dense Matrices on a Vector Pipeline
13223		  Machine},
13224  journal	= {SIAM Review},
13225  volume	= {26},
13226  number	= {1},
13227  pages		= {91--112},
13228  month		= jan,
13229  year		= {1984},
13230  coden		= {SIREAD},
13231  issn		= {0036-1445 (print), 1095-7200 (electronic)},
13232  mrclass	= {65F10 (65F30)},
13233  mrnumber	= {85c:65032},
13234  bibdate	= {Mon Jan 20 1997},
13235  abstract	= {The authors examine common implementations of linear algebra algorithms, such as
13236		  matrix-vector multiplication, matrix-matrix multiplication and the solution of
13237		  linear equations. The different versions are examined for efficiency on a computer
13238		  architecture which uses vector processing and has pipelined instruction execution.
13239		  By using the advanced architectural features of such machines, one can usually
13240		  achieve maximum performance, and tremendous improvements in terms of execution
13241		  speed can be seen over conventional computers.},
13242  classification= {723; 921},
13243  journalabr	= {SIAM Rev},
13244  keywords	= {computer programming --- Algorithms; dense matrices; linear algebra algorithms;
13245		  mathematical programming; vector pipeline machine}
13246}
13247
13248@Book{		  qv99,
13249  author	= {Alfio Quarteroni and Alberto Valli},
13250  title		= {Domain Decomposition Methods for Partial Differential Equations},
13251  publisher	= {Oxford Science Publications},
13252  address	= {Oxford},
13253  year		= {1999}
13254}
13255
13256@Book{		  ksv97,
13257  editor	= {David E. Keyes and Ahmed Sameh and V. Venkatakrishnan},
13258  title		= {Parallel Numerical Algorithms},
13259  publisher	= {Kluwer Academic Publishers},
13260  address	= {the Netherlands},
13261  year		= {1997}
13262}
13263
13264@Book{		  hackbusch94,
13265  author	= {Wolfgang Hackbusch},
13266  title		= {Iterative Solution of Large Sparse Systems of Equations},
13267  publisher	= {Springer-Verlag},
13268  address	= {New York},
13269  year		= {1994}
13270}
13271
13272@Article{	  hackbusch1980fast,
13273  title		= {Fast solution of elliptic control problems},
13274  author	= {Hackbusch, W.},
13275  journal	= {Journal of Optimization Theory and Applications},
13276  volume	= {31},
13277  number	= {4},
13278  pages		= {565--581},
13279  year		= {1980},
13280  publisher	= {Springer}
13281}
13282
13283@Book{		  hackbusch1985multi,
13284  title		= {{Multi-grid methods and applications}},
13285  author	= {Hackbusch, W.},
13286  isbn		= {3540127615},
13287  issn		= {0179-3632},
13288  year		= {1985},
13289  publisher	= {Springer Verlag}
13290}
13291
13292@Book{		  axelsson94,
13293  author	= {Owe Axelsson},
13294  title		= {Iterative Solution Methods},
13295  publisher	= {Cambridge University Press},
13296  address	= {Cambridge},
13297  year		= {1994}
13298}
13299
13300@Book{		  saad96,
13301  author	= {Yousef Saad},
13302  title		= {Iterative Methods for Sparse Linear Systems},
13303  publisher	= {PWS Publishing Company},
13304  address	= {Boston},
13305  year		= {1996}
13306}
13307
13308@Book{		  saad2003,
13309  title		= {Iterative Methods for Sparse Linear Systems},
13310  author	= {Saad, Yousef},
13311  doi		= {10.1016/S1570-579X(01)80025-2},
13312  edition	= {2nd},
13313  publisher	= {SIAM},
13314  year		= {2003}
13315}
13316
13317@Book{		  vandervorst03,
13318  author	= {Henk A. {van der Vorst}},
13319  title		= {Iterative Krylov Methods for Large Linear Systems},
13320  publisher	= {Cambridge Monographs on Applied ahd Computational Mathematics},
13321  year		= {2003}
13322}
13323
13324@Book{		  koniges00,
13325  editor	= {Alice E. Koniges},
13326  title		= {Industrial Strength Parallel Computing},
13327  publisher	= {Morgan Kaufmann Publishers},
13328  address	= {San Francisco},
13329  year		= {2000}
13330}
13331
13332@Misc{		  fftw-web-page,
13333  key		= {Fftw},
13334  title		= {{FFTW} {Web} page},
13335  note		= {\texttt{http://www.fftw.org/}},
13336  annote	= {fast FFT. Parallel versions with MPI and Cilk}
13337}
13338
13339@InProceedings{	  frigojohnson93,
13340  author	= {Matteo Frigo and Steven G. Johnson},
13341  title		= {The Design and Implementation of {FFTW3}},
13342  booktitle	= {Proceedings of the IEEE},
13343  volume	= {93},
13344  number	= {2},
13345  pages		= {216--231},
13346  year		= {2005}
13347}
13348
13349@Book{		  kelley95,
13350  author	= {C. T. Kelley},
13351  title		= {Iterative Methods for Linear and Nonlinear Equations},
13352  year		= {1995},
13353  publisher	= {SIAM},
13354  address	= {Philadelphia}
13355}
13356
13357@Unpublished{	  spai-web-page,
13358  title		= {{SPAI} {W}eb {P}age},
13359  note		= {http://www.sam.math.ethz.ch/\~{ }grote/spai/},
13360  author	= {Steven Bernard and Marcus Grote},
13361  institution	= {NASA Ames Research Center and ETH Zurich}
13362}
13363
13364@Article{	  gh97,
13365  author	= {M. J. Grote and T. Huckle},
13366  title		= {Parallel Preconditioning with Sparse Approximate Inverses},
13367  year		= {1997},
13368  journal	= {SIAM J. of Scient. Comput.},
13369  volume	= {18},
13370  pages		= {838-853}
13371}
13372
13373@Article{	  zhang96,
13374  author	= {Wen Zhang},
13375  title		= {Using {MOL} to Solve a high order nonlinear {PDE} with a moving boundary in the
13376		  simulation of a sintering process},
13377  year		= {1996},
13378  journal	= {Appl. Numer. Math.},
13379  volume	= {20},
13380  pages		= {235-244}
13381}
13382
13383@Article{	  zhang98,
13384  author	= {Wen Zhang and Ian Gladwell},
13385  title		= {The sintering of two particles by surface and grain boundary diffusion - a
13386		  three-dimensional numerical study},
13387  journal	= {Comp. Mater. Sci.},
13388  year		= {1998},
13389  volume	= {12}
13390}
13391
13392@InProceedings{	  mollerschwartzbach01,
13393  author	= {Anders M\o{}ller and Michael I. Schwartzbach},
13394  title		= {The Pointer Assertion Logic Engine},
13395  booktitle	= {ACM Proceedings of PLDI'01},
13396  year		= {2001}
13397}
13398
13399@InProceedings{	  klarlandschwartzbach97,
13400  author	= {Nils Klarland and Michael I. Schwartzbach},
13401  title		= {A Domain-Specific Languages for Regular Sets of Strings and Trees},
13402  booktitle	= {Proceedings of the Conference on Domain-Specific Languages},
13403  publisher	= {USENIX},
13404  month		= {October},
13405  year		= {1997},
13406  address	= {Santa Barbara, CA}
13407}
13408
13409@InProceedings{	  conselmarlet98,
13410  author	= {C. Consel and R. Marlet},
13411  title		= {Architecturing software using a methodology for language development},
13412  booktitle	= {Proceedings of the 10th International Symposium on Programming Languages,
13413		  Implementations, Logics and Programs},
13414  year		= {1998},
13415  pages		= {170-174},
13416  month		= {September},
13417  address	= {Pisa, Italy}
13418}
13419
13420@Misc{		  sundials:homepage,
13421  author	= {C. {Woodward et al.}},
13422  title		= {{SUNDIALS {W}eb page}},
13423  howpublished	= {\url{https://computation.llnl.gov/casc/sundials/main.html}}
13424}
13425
13426@article{gardner2022sundials,
13427  title     = {Enabling new flexibility in the {SUNDIALS} suite of nonlinear and differential/algebraic equation solvers},
13428  author    = {Gardner, David J and Reynolds, Daniel R and Woodward, Carol S and Balos, Cody J},
13429  journal   = {ACM Transactions on Mathematical Software (TOMS)},
13430  publisher = {ACM},
13431  year      = {2022},
13432  doi       = {10.1145/3539801}
13433}
13434
13435@Misc{		  sundials-user-ref,
13436  title		= {{SUNDIALS}: Suite of Nonlinear and Differential/Algebraic Equation Solvers},
13437  note		= {See \url{http://www.llnl.gov/CASC/sundials}},
13438  author	= {Allan Hindmarsh and Peter Brown and Keith Grant and Steven Lee and Radu Serban
13439		  and Dan Shumaker and Carol Woodward},
13440  institution	= {Center for Applied Scientific Computing, Lawrence Livermore National Laboratory},
13441  number	= {UCRL-JP-200037},
13442  year		= {2003}
13443}
13444
13445@Article{	  sundials05,
13446  author	= {A. Hindmarsh and P. Brown and K. Grant and S. Lee and R. Serban and D. Shumaker
13447		  and C. Woodward},
13448  title		= {{SUNDIALS:} Suite of Nonlinear and Differential/Algebraic Equation Solvers},
13449  journal	= {ACM Transactions on Mathematical Software},
13450  volume	= {31},
13451  number	= {3},
13452  pages		= {363--396},
13453  year		= {2005}
13454}
13455
13456@InProceedings{	  serban2005cvodes,
13457  title		= {{CVODES}, the sensitivity-enabled {ODE} solver in {SUNDIALS}},
13458  author	= {Serban, Radu and Hindmarsh, Alan C},
13459  booktitle	= {Proceedings of the 5th International Conference on Multibody Systems, Nonlinear
13460		  Dynamics and Control, Long Beach, CA},
13461  year		= {2005}
13462}
13463
13464@Article{	  pvode99,
13465  author	= {G. Byrne and A. Hindmarsh},
13466  title		= {{PVODE}, An {ODE} Solver for Parallel Computers},
13467  journal	= {Int. J. High Perf. Comput. Apps.},
13468  volume	= {13},
13469  number	= {4},
13470  year		= {1999},
13471  pages		= {354 -- 365}
13472}
13473
13474@Article{	  cvode95,
13475  author	= {S. Cohen and A. Hindmarsh},
13476  title		= {{CVODE}, A Stiff/Nonstiff {ODE} Solver in {C}},
13477  journal	= {Computers in Physics},
13478  volume	= {10},
13479  number	= {2},
13480  year		= {1996},
13481  pages		= {138 -- 143}
13482}
13483
13484@TechReport{	  ifpack,
13485  title		= {Robust Algebraic Preconditioners using {IFPACK} 3.0},
13486  author	= {Marzio Sala and Michael Heroux},
13487  institution	= {Sandia National Laboratories},
13488  number	= {SAND2005-0662},
13489  year		= {2005}
13490}
13491
13492@TechReport{	  kinsol-user-ref,
13493  title		= {User Documentation for {KINSOL}, A Nonlinear Solver for Sequential and Parallel
13494		  Computers},
13495  author	= {Allan Taylor and Alan Hindmarsh},
13496  institution	= {Center for Applied Scientific Computing, Lawrence Livermore National Laboratory},
13497  number	= {UCRL-ID-131185},
13498  year		= {1998}
13499}
13500
13501@Article{	  fiardmanteuffelmccormick98,
13502  author	= {J.-M. Fiard and T. Manteuffel and S. McCormick},
13503  title		= {First-order system least squares {(FOSLS)} for convection-diffusion problems:
13504		  numerical results},
13505  journal	= {SIAM J. Sci. Comp.},
13506  year		= {1998},
13507  volume	= {19},
13508  pages		= {1958--1979}
13509}
13510
13511@InProceedings{	  vuduc02,
13512  author	= {Richard Vuduc and James W. Demmel and Katherine A. Yelick and Shoaib Kamil and
13513		  Rajesh Nishtala and Benjamin Lee},
13514  title		= {Performance Optimizations and Bounds for Sparse Matrix-Vector Multiply},
13515  booktitle	= {Proceedings of Supercomputing},
13516  year		= {2002},
13517  month		= {November},
13518  address	= {Baltimore}
13519}
13520
13521@Article{	  beckerbraackrannacher1999,
13522  title		= {Numerical simulation of laminar flames at low Mach number by adaptive finite
13523		  elements},
13524  author	= {Roland Becker and Malte Braack and Rolf Rannacher},
13525  journal	= {Combustion Theory and Modelling},
13526  volume	= {3},
13527  pages		= {503--534},
13528  year		= {1999}
13529}
13530
13531@Article{	  beckerrannacher01,
13532  author	= {R. Becker and R. Rannacher},
13533  title		= {An optimal control approach to a posteriori error estimation in finite element
13534		  methods},
13535  journal	= {Acta Numerica},
13536  year		= {2001},
13537  volume	= {10},
13538  pages		= {1--102}
13539}
13540
13541@Article{	  babuskamiller84a,
13542  author	= {I. Babu$\check{s}$ka and A.D. Miller},
13543  title		= {The post-processing approach in the finite element method, {I}: Calculations of
13544		  displacements, stresses, and other higher derivatives of the displacements},
13545  journal	= {Int. J. Numer. Meth. Eng.},
13546  year		= {1984},
13547  volume	= {20},
13548  pages		= {1085--1109}
13549}
13550
13551@Article{	  babuskamiller84b,
13552  author	= {I. Babu$\check{s}$ka and A.D. Miller},
13553  title		= {The post-processing approach in the finite element method, {II}: The calculation
13554		  of stress intensity factors},
13555  journal	= {Int. J. Numer. Meth. Eng.},
13556  year		= {1984},
13557  volume	= {20},
13558  pages		= {1111--1129}
13559}
13560
13561@Article{	  babuskamiller84c,
13562  author	= {I. Babu$\check{s}$ka and A.D. Miller},
13563  title		= {The post-processing approach in the finite element method, {III}: A posteriori
13564		  error estimation and adaptive mesh refinement},
13565  journal	= {Int. J. Numer. Meth. Eng.},
13566  year		= {1984},
13567  volume	= {20},
13568  pages		= {2311--2324}
13569}
13570
13571@Unpublished{	  jtb-web-page,
13572  title		= {{The Java Tree Builder}},
13573  note		= {See \url{http://www.cs.purdue.edu/jtb}},
13574  author	= {Jens Palsberg},
13575  institution	= {Purdue University}
13576}
13577
13578@Unpublished{	  palsberg98,
13579  title		= {Why Visitors?},
13580  note		= {See \url{http://www.cs.purdue.edu/jtb/whyvisitors}},
13581  author	= {Jens Palsberg},
13582  institution	= {Purdue University},
13583  year		= {1998}
13584}
13585
13586@Unpublished{	  ply-web-page,
13587  title		= {{PLY (Python Lex-Yacc)}},
13588  note		= {\url{http://systems.cs.chicago.edu/ply}},
13589  author	= {David Beazley},
13590  institution	= {University of Chicago}
13591}
13592
13593@Misc{		  adic-web-page,
13594  title		= {{ADIC Web page}},
13595  note		= {\url{http://www.mcs.anl.gov/autodiff}},
13596  author	= {Paul Hovland and Uwe Naumann and Boyana Norris},
13597  institution	= {Argonne National Laboratory}
13598}
13599
13600@Article{	  naumann02,
13601  author	= {Uwe Naumann},
13602  title		= {Optimal accumulation of {J}acobian matrices by elimination methods on the dual
13603		  computational graph},
13604  journal	= {Mathematical Programming (to appear)},
13605  note		= {Preprint ANL/MCS-P944-0402, Argonne National Laboratory, April 2002},
13606  year		= {2003}
13607}
13608
13609@Article{	  kaper1,
13610  author	= {H. G. Kaper and T. J. Kaper},
13611  title		= {Asymptotic Analysis of Two Reduction Methods for Systems of Chemical Reactions},
13612  journal	= {Physica D},
13613  year		= {2002},
13614  pages		= {66--93},
13615  volume	= {165}
13616}
13617
13618@Misc{		  veltisto-web-page,
13619  author	= {George Biros},
13620  title		= {{Veltisto Web page}},
13621  note		= {\url{http://www.cs.nyu.edu/~biros/veltisto}}
13622}
13623
13624@Article{	  karypiskumar98,
13625  author	= {George Karypis and Vipin Kumar},
13626  title		= {A Parallel Algorithm for Multilevel Graph Partitioning and Sparse Matrix
13627		  Ordering},
13628  journal	= {Journal of Parallel and Distributed Computing},
13629  volume	= {48},
13630  pages		= {71--85},
13631  year		= {1998}
13632}
13633
13634@TechReport{	  karypiskumar97,
13635  author	= {Karypis, George and Kumar, V.},
13636  institution	= {Department of Computer Science, University of Minnesota},
13637  keywords	= {graph partitioning; ParMetis},
13638  note		= {http://www.cs.umn.edu/~metis},
13639  number	= {97-060},
13640  title		= {{ParMETIS}: Parallel graph partitioning and sparse matrix ordering library},
13641  year		= {1997}
13642}
13643
13644@Misc{		  parmetis-web-page,
13645  author	= {George {Karypis et al.}},
13646  title		= {{ParMETIS Web page}},
13647  note		= {\url{http://www.cs.umn.edu/~karypis/metis/parmetis}},
13648  year		= {2005}
13649}
13650
13651@Misc{		  sparskit-web-page,
13652  author	= {Yousef {Saad et al.}},
13653  title		= {{SPARSKIT Web page}},
13654  note		= {\url{http://www.cs.umn.edu/~saad/software/SPARSKIT/sparskit.html}}
13655}
13656
13657@Misc{		  dscpack-web-page,
13658  author	= {Padma Raghavan},
13659  title		= {{DSCPACK Web page}},
13660  note		= {\url{http://www.cse.psu.edu/~raghavan/Dscpack}}
13661}
13662
13663@Misc{		  gaussian-web-page,
13664  author	= {},
13665  title		= {{Gaussian Web page}},
13666  note		= {\url{http://gaussian.com}},
13667  key		= {{Gaussian} {Web} page}
13668}
13669
13670@Book{		  lapack-user-guide,
13671  author	= {E. Anderson and Z. Bai and C. Bischof and S. Blackford and J. Demmel and J.
13672		  Dongarra and J. Du Cris and A. Greenbaum and S. Hammarling and A. McKenney and D.
13673		  Sorensen},
13674  title		= {LAPACK Users' Guide, Third Edition},
13675  publisher	= {SIAM},
13676  year		= {1999}
13677}
13678
13679@Manual{	  nwchem4.1,
13680  author	= {High Performance Computational Chemistry Group},
13681  title		= {{NWChem}, A Computational Chemistry Package for Parallel Computers, Version 4.1},
13682  year		= {2002},
13683  organization	= {Pacific Northwest National Laboratory},
13684  address	= {Richland, Washington 99325-0999 USA},
13685  note		= {See \url{http://www.emsl.pnl.gov/pub/docs/nwchem/}}
13686}
13687
13688@TechReport{	  tchem,
13689  title		= {{TC}hem: {A} Software Toolkit for the Analysis of Complex Kinetic Models},
13690  author	= {Cosmin Safta and Habib Najm and Omar Knio},
13691  institution	= {Sandia National Laboratories},
13692  number	= {SAND2011-3282},
13693  year		= {2011}
13694}
13695
13696@Misc{		  scidac-web-page,
13697  author	= {},
13698  title		= {{{SciDAC Initiative Web page}}},
13699  note		= {\url{http://www.osti.gov/scidac}},
13700  key		= {{SciDAC Initiative Web page}}
13701}
13702
13703@Misc{		  cmrs:homepage,
13704  author	= {Amitava {Bhattacharjee (PI)}},
13705  title		= {{Center for Magnetic Reconnection Studies}},
13706  howpublished	= {\url{http://www.physics.uiowa.edu/cmrs}}
13707}
13708
13709@Misc{		  tops:homepage,
13710  author	= {David {Keyes (PI)}},
13711  title		= {{Towards Optimal Petascale Simulations (TOPS) Center}},
13712  howpublished	= {\url{http://scalablesolvers.org}}
13713}
13714
13715@Misc{		  tstt:homepage,
13716  author	= {David Brown and Jim Glimm and Lori Freitag},
13717  title		= {{Terascale Simulation Tools and Technology (TSTT) Center}},
13718  howpublished	= {\url{http://www.tstt-scidac.org}},
13719  year		= {2005}
13720}
13721
13722@Misc{		  petsc:applications,
13723  author	= {B. F. {Smith et al.}},
13724  title		= {{Scientific Applications Using {PETSc}}},
13725  howpublished	= {\url{http://www.mcs.anl.gov/petsc/publications}}
13726}
13727
13728@Misc{		  petsc:users,
13729  author	= {B. F. {Smith et al.}},
13730  title		= {{PETSc User Statistics}},
13731  howpublished	= {\url{http://www.mcs.anl.gov/petsc/miscellaneous/usage.html}}
13732}
13733
13734@Misc{		  cemm:homepage,
13735  author	= {Steve {Jardin (PI)}},
13736  title		= {{Center for Extended MHD Modeling}},
13737  howpublished	= {\url{http://w3.pppl.gov/CEMM}}
13738}
13739
13740@Misc{		  m3d:homepage,
13741  author	= {Steve {Jardin et al.}},
13742  title		= {{M3D Web page}},
13743  howpublished	= {\url{http://w3.pppl.gov/m3d}}
13744}
13745
13746@Misc{		  nimrod:homepage,
13747  author	= {Carl R. {Sovinec et al.}},
13748  title		= {{NIMROD Web page}},
13749  howpublished	= {http://nimrodteam.org}
13750}
13751
13752@Misc{		  grace-web-page,
13753  author	= {Manish {Parashar et al.}},
13754  title		= {{GrACE Web Page}},
13755  howpublished	= {\url{http://www.caip.rutgers.edu/~parashar/TASSL/Projects/GrACE}}
13756}
13757
13758@Misc{		  accel1,
13759  title		= {Advanced Computing for 21st Century Accelerator Science and Technology Web page},
13760  howpublished	= {\url{http://scidac.nersc.gov/accelerator/}},
13761  author	= {K. Ko and R. Ryne (PIs)}
13762}
13763
13764@Unpublished{	  katzspiegelman03,
13765  author	= {Richard F. Katz and Marc Spiegelman},
13766  title		= {A semi-{L}agrangian {C}rank-{N}icholson algorithm for the numerical solution of
13767		  advection-diffusion problems},
13768  note		= {Columbia University, in preparation}
13769}
13770
13771@Misc{		  acts:homepage,
13772  author	= {},
13773  title		= {{Advanced CompuTational Software (ACTS) Web page}},
13774  howpublished	= {\url{http://acts.nersc.gov}},
13775  key		= {{Advanced CompuTational Software (ACTS) Web page}}
13776}
13777
13778@Article{	  superlu99,
13779  author	= {James W. Demmel and Stanley C. Eisenstat and John R. Gilbert and Xiaoye S. Li and
13780		  Joseph W. H. Liu},
13781  title		= {A supernodal approach to sparse partial pivoting},
13782  journal	= {SIAM J. Matrix Analysis and Applications},
13783  year		= {1999},
13784  volume	= {20},
13785  number	= {3},
13786  pages		= {720-755}
13787}
13788
13789@Misc{		  superlu:homepage,
13790  author	= {J. Demmel and J. Gilbert and X. Li},
13791  title		= {{SuperLU Web page}},
13792  howpublished	= {http://crd.lbl.gov/\~xiaoye/SuperLU}
13793}
13794
13795@InProceedings{	  ccf98,
13796  author	= {E. Chow and A. Cleary and R. Falgout},
13797  title		= {Design of the hypre Preconditioner Library},
13798  booktitle	= {Proceedings of the SIAM Workshop on Object Oriented Methods for Inter-operable
13799		  Scientific and Engineering Computing},
13800  publisher	= {SIAM},
13801  year		= {1999}
13802}
13803
13804@TechReport{	  hypre-users-manual,
13805  author	= {R. Falgout},
13806  title		= {{hypre} Users Manual},
13807  number	= {Revision 2.28},
13808  institution	= {Lawrence Livermore National Laboratory},
13809  year		= {2023},
13810  url		= {https://hypre.readthedocs.io/}
13811}
13812
13813@Misc{		  hypre:homepage,
13814  author	= {R. Falgout},
13815  title		= {{hypre Web page}},
13816  howpublished	= {\url{https://www.llnl.gov/casc/hypre}}
13817}
13818
13819@InProceedings{	  trilinos:gpu,
13820  author	= {C.G. Baker and M.A. Heroux. and H.C. Edwards and A.B. Williams},
13821  title		= {A Light-weight API for Portable Multicore Programming},
13822  booktitle	= {18th Euromicro International Conference on Parallel, Distributed and
13823		  Network-Based Processing (PDP)},
13824  pages		= {601--606},
13825  publisher	= {IEEE},
13826  year		= {2010}
13827}
13828
13829@InProceedings{	  heroux2004design,
13830  title		= {The design of {T}rilinos},
13831  author	= {Heroux, Michael A and Sala, Marzio},
13832  booktitle	= {International Workshop on Applied Parallel Computing},
13833  pages		= {620--628},
13834  year		= {2004},
13835  organization	= {Springer}
13836}
13837
13838@Misc{		  trilinos:homepage,
13839  author	= {M. {Heroux et al.}},
13840  title		= {{Trilinos Web page}},
13841  howpublished	= {{\tt http://trilinos.sandia.gov/}}
13842}
13843
13844@Article{	  trilinos:overview,
13845  author	= {Michael A. Heroux and Roscoe A. Bartlett and Vicki E. Howle and Robert J.
13846		  Hoekstra and Jonathan J. Hu and Tamara G. Kolda and Richard B. Lehoucq and Kevin
13847		  R. Long and Roger P. Pawlowski and Eric T. Phipps and Andrew G. Salinger and Heidi
13848		  K. Thornquist and Ray S. Tuminaro and James M. Willenbring and Alan Williams and
13849		  Kendall S. Stanley},
13850  title		= {An overview of the {T}rilinos project},
13851  journal	= {ACM Transactions on Mathematical Software},
13852  volume	= {31},
13853  number	= {3},
13854  year		= {2005},
13855  issn		= {0098-3500},
13856  pages		= {397--423},
13857  publisher	= {ACM Press},
13858  doi		= {10.1145/1089014.1089021}
13859}
13860
13861@Misc{		  rythmos:homepage,
13862  author	= {T. Coffey and R. Bartlett},
13863  title		= {Rythmos: Transient Integration of Differential Equations},
13864  howpublished	= {\url{http://trilinos.sandia.gov/packages/rythmos}}
13865}
13866
13867@Misc{		  triangle:homepage,
13868  author	= {J. {Shewchuk}},
13869  title		= {{Triangle: A Two-Dimensional Quality Mesh Generator and Delaunay Triangulator}},
13870  howpublished	= {\url{http://www-2.cs.cmu.edu/~quake/triangle.html}},
13871  year		= {2005}
13872}
13873
13874@Misc{		  tetgen:homepage,
13875  author	= {Hang {Si}},
13876  title		= {{TetGen: A Quality Tetrahedral Mesh Generator and Three-Dimensional Delaunay
13877		  Triangulator}},
13878  howpublished	= {\url{http://tetgen.berlios.de}},
13879  year		= {2005}
13880}
13881
13882@Misc{		  eigen:homepage,
13883  author	= {Benoit Jacob and Ga\"el Guennebaud},
13884  title		= {{Eigen} {W}eb page},
13885  key		= {Jacob},
13886  url		= {http://eigen.tuxfamily.org/},
13887  howpublished	= {\url{http://eigen.tuxfamily.org/}},
13888  year		= {2015}
13889}
13890
13891@Misc{		  dune:homepage,
13892  author	= {Peter Bastian and Markus Blatt and Andreas Dedner and Christian Engwer and Jorrit
13893		  Fahlke and Christoph Gersbacher and Carsten Gr\"aser and Christoph Gr\"uninger
13894		  Robert Kl\"ofkorn and Steffen M\"uthing and Martin Nolte and Mario Ohlberger and
13895		  Oliver Sander},
13896  title		= {{DUNE} {W}eb page},
13897  key		= {Bastian},
13898  url		= {http://www.dune-project.org/},
13899  howpublished	= {\url{http://www.dune-project.org/}},
13900  year		= {2015}
13901}
13902
13903@Misc{		  thrust,
13904  author	= {N. Bell and J. Hoberock},
13905  title		= {The {T}hrust Library},
13906  howpublished	= {{\tt http://code.google.com/p/thrust/}},
13907  year		= {2010}
13908}
13909
13910@Misc{		  cusp,
13911  author	= {N. Bell and M. Garland},
13912  title		= {The {C}usp Library},
13913  howpublished	= {{\tt http://code.google.com/p/cusp-library/}},
13914  year		= {2010}
13915}
13916
13917@Misc{		  cig:homepage,
13918  author	= {M. {Gurnis et al.}},
13919  title		= {{Computational Infrastructure for Geodynamics}},
13920  howpublished	= {\url{http://www.geodynamics.org}}
13921}
13922
13923@Article{	  maltsevselkov00,
13924  author	= {R. Overbeek and N. Larsen and G. Pusch and M. D'Souza and E. Selkov Jr. and N.
13925		  Kyrpides and M. Fonstein and N. Maltsev and E. Selkov},
13926  title		= {{WIT}: {I}ntegrated system for high-throughput genome sequence analysis and
13927		  metabolic reconstruction},
13928  journal	= {Nucleic Acids Res.},
13929  year		= {2000},
13930  month		= {January},
13931  pages		= {123-125},
13932  volume	= {28},
13933  number	= {1}
13934}
13935
13936@Article{	  more:coloring,
13937  author	= {Thomas F. Coleman and Jorge J. Mor\'{e}},
13938  title		= {Estimation of sparse {J}acobian matrices and graph coloring problems},
13939  journal	= {SIAM Journal on Numerical Analysis},
13940  year		= {1983},
13941  month		= {Feb.},
13942  pages		= {187--209},
13943  volume	= {20},
13944  number	= {1}
13945}
13946
13947@Article{	  selkovmaltsev97,
13948  author	= {E. Selkov and N. Maltsev and G.J. Olsen and R. Overbeek and W. B. Whitman},
13949  title		= {A reconstruction of the metabolism of Methanococcus jannaschii from sequence
13950		  data},
13951  journal	= {Gene},
13952  year		= {1997},
13953  pages		= {GC11-GC26},
13954  volume	= {197},
13955  number	= {1-2}
13956}
13957
13958@Unpublished{	  rocketcenter,
13959  title		= {Center for Simulation of Advanced Rockets},
13960  note		= {http://www.csar.uiuc.edu},
13961  institution	= {University of Illinois at Urbana-Champaign}
13962}
13963
13964@Article{	  kirby03,
13965  title		= {A posteriori error estimates for the mixed hybrid finite element method},
13966  author	= {Robert C Kirby},
13967  journal	= {Computational Geosciences},
13968  volume	= {7},
13969  pages		= {197--214},
13970  note		= {\url{http://www.ices.utexas.edu/~clint/nsf/apostmfem.ps}},
13971  year		= {2003}
13972}
13973
13974@Article{	  kirby2003b,
13975  title		= {On the convergence of high resolution methods with multiple time scales for
13976		  hyperbolic conservation laws},
13977  author	= {Robert C Kirby},
13978  journal	= {Mathematics of computation},
13979  volume	= {72},
13980  number	= {243},
13981  pages		= {1239--1250},
13982  year		= {2003}
13983}
13984
13985@Article{	  dawsonkirby2001,
13986  title		= {High resolution schemes for conservation laws with locally varying time steps},
13987  author	= {Clint Dawson and Robert C Kirby},
13988  journal	= {SIAM Journal on Scientific Computing},
13989  volume	= {22},
13990  number	= {6},
13991  pages		= {2256--2281},
13992  year		= {2001},
13993  publisher	= {SIAM}
13994}
13995
13996@Article{	  dawsonkirby1999,
13997  title		= {Solution of parabolic equations by backward Euler-mixed finite element methods on
13998		  a dynamically changing mesh},
13999  author	= {Clint Dawson and Robert C Kirby},
14000  journal	= {SIAM Journal on Numerical Analysis},
14001  volume	= {37},
14002  number	= {2},
14003  pages		= {423--442},
14004  year		= {1999},
14005  publisher	= {SIAM}
14006}
14007
14008@Article{	  barthlarson00,
14009  author	= {T. J. Barth and M. G. Larson},
14010  title		= {{\em A posteriori} Error Estimation for Discontiuous {G}alerkin Approximations of
14011		  Hyperbolic Systems},
14012  journal	= {LNCS},
14013  year		= {2000},
14014  volume	= {11},
14015  publisher	= {Spinger-Verlag}
14016}
14017
14018@Article{	  xu1,
14019  author	= {J. Xu},
14020  title		= {Iterative Methods by Space Decomposition and Subspace Correction},
14021  journal	= {SIAM Review},
14022  volume	= {34},
14023  pages		= {581--613},
14024  year		= {1992}
14025}
14026
14027@Article{	  brandt77,
14028  author	= {Achi Brandt},
14029  title		= {Multi-Level Adaptive Solutions to Boundary-Value Problems},
14030  journal	= {Mathematics of Computation},
14031  month		= {April},
14032  year		= {1977},
14033  pages		= {333--390},
14034  volume	= {31},
14035  number	= {138},
14036  doi		= {10.2307/2006422}
14037}
14038
14039@Article{	  brandt1979multigrid,
14040  title		= {{Multigrid solutions to elliptic flow problems}},
14041  author	= {Brandt, A. and Dinar, N.},
14042  journal	= {Numerical Methods for Partial Differential Equations},
14043  pages		= {53--147},
14044  year		= {1979}
14045}
14046
14047@InCollection{	  brandt1979singular,
14048  title		= {Multi-Level Adaptive Techniques(MLAT) for singular-perturbation problems},
14049  author	= {Achi Brandt},
14050  booktitle	= {Numerical Analysis of Singular Perturbation Problems},
14051  editor	= {Hemker, Pieter W. and Miller, John J.H.},
14052  pages		= {53--142},
14053  year		= {1979},
14054  publisher	= {Academic Press}
14055}
14056
14057@Article{	  amge1,
14058  author	= {M. Brezina and A. J. Cleary and R. D. Falgout and V. E. Henson and J. E. Jones
14059		  and T. A. Manteuffel and S. F. McCormick and J. W. Ruge},
14060  title		= {Algebraic Multigrid Based on Element Interpolation (AMGe)},
14061  journal	= {SIAM J. Scientific Computing},
14062  volume	= {22},
14063  pages		= {1570--1592},
14064  year		= {2000}
14065}
14066
14067@Book{		  bramble1,
14068  author	= {J. H. Bramble},
14069  title		= {Multigrid Methods},
14070  publisher	= {Longman Scientific and Technical},
14071  address	= {Essex, England},
14072  year		= {1993}
14073}
14074
14075@Book{		  arpack98,
14076  author	= {R. B. Lehoucq and D. C. Sorensen and C. Yang},
14077  title		= {ARPACK, Users' Guide},
14078  publisher	= {SIAM},
14079  year		= {1998}
14080}
14081
14082@Article{	  bbder96,
14083  author	= {R. Barrett and M. Berry and J. Dongarra and V. Eijkhout and C. Romine},
14084  title		= {Algorithmic bombardment for the iterative solution of linear systems: A
14085		  polyIterative approach},
14086  journal	= {J. of Computational and Applied Mathematics},
14087  year		= {1996},
14088  volume	= {74},
14089  pages		= {91--110}
14090}
14091
14092@Article{	  egks94,
14093  author	= {A. Ern and V. Giovangigli and D. E. Keyes and M. D. Smooke},
14094  title		= {Towards polyalgorithmic linear system solvers for nonlinear elliptic problems,},
14095  journal	= {SIAM J. Scientific Computing},
14096  year		= {1994},
14097  volume	= {15},
14098  number	= {3},
14099  pages		= {681--703}
14100}
14101
14102@Article{	  dftb02,
14103  author	= {P. Zapol and M. Sternberg and L.A. Curtiss and Th. Frauenheim and D.M. Gruen},
14104  title		= {Tight-binding molecular-dynamics simulation of impurities in ultrananocrystalline
14105		  diamond grain boundaries,},
14106  journal	= {Phys. Rev},
14107  year		= {2002},
14108  volume	= {B65},
14109  pages		= {045403}
14110}
14111
14112@InBook{	  lsa,
14113  author	= {R. Bramley and D. Gannon and T. Stuckey and J. Villacis and J. Balasubramanian
14114		  and E. Akman and F. Berg and S. Diwan and M. Govindaraju},
14115  title		= {The linear system analyzer},
14116  series	= {enabling technologies for computational science},
14117  year		= {2002},
14118  publisher	= {Kluwer},
14119  location	= {Dordrecht}
14120}
14121
14122@Article{	  kk97,
14123  author	= {Carl T. Kelley and David E. Keyes},
14124  title		= {Convergence analysis of pseudo-transient continuation},
14125  journal	= {SIAM J. Numerical Analysis},
14126  year		= {1998},
14127  volume	= {35},
14128  pages		= {508--523}
14129}
14130
14131@Article{	  swtm01,
14132  author	= {R. Shepard and A. F. Wagner and J. L. Tilson and M. Minkoff},
14133  journal	= {Journal of Computational Physics},
14134  year		= {2001},
14135  volume	= {172},
14136  number	= {2},
14137  pages		= {472--514},
14138  title		= {The Subspace Projected Approximate Matrix {(SPAM)} Modification of the {D}avidson
14139		  Method}
14140}
14141
14142@TechReport{	  zhou03,
14143  author	= {Y. Zhou},
14144  title		= {Eigenvalue Computation from the Optimization Perspective: On {Jacobi-Davidson,
14145		  IIGD, RQI and Newton} Updates},
14146  institution	= {Argonne National Laboratory},
14147  number	= {ANL/MCS-P1074-0803},
14148  note		= {Submitted to Numerical Linear Algebra with Applications},
14149  year		= {2003}
14150}
14151
14152@Unpublished{	  mtwm03,
14153  author	= {G. G. Maisuradze and D. L. Thompson and A. F. Wagner and M. Minkoff},
14154  title		= {Interpolating moving least squares methods for fitting potential energy surfaces:
14155		  Detailed analysis of one-dimensional applications},
14156  note		= {to appear in the Journal of Chemical Physics},
14157  year		= {2003}
14158}
14159
14160@Article{	  singhjosephheslaglowinskipan00,
14161  author	= {P. Singh and D. D. Joseph and T. Hesla and R. Glowinski and T.-W. Pan},
14162  title		= {A distributed {L}agrange multiplier/fictitious domain model for viscoelastic
14163		  particulate flows},
14164  journal	= {J. Non-Newtonian Fluid Mech.},
14165  volume	= {91},
14166  pages		= {165--188},
14167  year		= {2000}
14168}
14169
14170@Book{		  joseph02,
14171  author	= {Daniel D. Joseph},
14172  title		= {Interrogations of Direct Numerical Simulations of Sloid-Liquid Flows},
14173  publisher	= {Springer-Verlag},
14174  month		= {March},
14175  year		= {2002},
14176  note		= {\url{http://www.efluids.com/efluids/books/joseph.htm}}
14177}
14178
14179@Misc{		  triangle-web-page,
14180  author	= {Jonathan R. Shewchuk},
14181  title		= {{Triangle Web} page},
14182  note		= {\url{http://www-2.cs.cmu.edu/~quake/triangle.html}}
14183}
14184
14185@InCollection{	  shewchuk96,
14186  author	= {Jonathan R. Shewchuk},
14187  title		= {Triangle: {E}ngineering a {2D} Quality Mesh Generator and {D}elaunay
14188		  Triangulator},
14189  booktitle	= {Applied Computational Geometry: Towards Geometric Engineering},
14190  editor	= {Ming C. Lin and Dinesh Manocha},
14191  series	= {Lecture Notes in Computer Science},
14192  volume	= {1148},
14193  publisher	= {Springer-Verlag},
14194  pages		= {203--222},
14195  month		= may,
14196  year		= {1996},
14197  note		= {From the First ACM Workshop on Applied Computational Geometry}
14198}
14199
14200@Article{	  leaf1,
14201  author	= {Transient Dynamics of Pinning of Domain Walls},
14202  title		= {G. K. Leaf and S. Obukhov and S. Scheidl and V. M. Vinokur},
14203  journal	= {J. Magnetism and Magnetic Materials},
14204  volume	= {241},
14205  pages		= {118--123},
14206  year		= {2002}
14207}
14208
14209@Article{	  leaf2,
14210  author	= {D. O. Gunter and H. G. Kaper and G. K. Leaf},
14211  title		= {Implicit Integration of the Time-Dependent {Ginzburg-Landau} Equations of
14212		  Superconductivity},
14213  journal	= {SIAM J. Sci. Comp.},
14214  volume	= {23},
14215  pages		= {1944--1959},
14216  year		= {2002}
14217}
14218
14219@Article{	  leaf3,
14220  author	= { J. S. Jiang and H. G. Kaper and G. K. Leaf},
14221  title		= {Hysteresis in Layered Spring Magnets},
14222  journal	= { Discreet and Continuous Dynamical Systems, Series B},
14223  volume	= {1},
14224  pages		= {219--232},
14225  year		= {2001}
14226}
14227
14228@Article{	  leaf4,
14229  author	= {J. S. Jiang and S. D. Bader and H. G. Kaper and G. K. Leaf},
14230  title		= {Rotational Hysteresis of Exchange-Spring Magnets},
14231  journal	= {J. Phys. D Appl. Phys.},
14232  volume	= {35},
14233  pages		= {2339--2343},
14234  year		= {2002}
14235}
14236
14237@Article{	  leaf5,
14238  author	= {M. Grimsditch and G. K. Leaf and H. G. Kaper and D. A. Karpeev and R. E. Camley},
14239  title		= {Normal Modes of Spin Excitation in Magnetic Nanoparticles},
14240  journal	= {Submitted to Phys. Rev. B.},
14241  note		= {Submitted},
14242  year		= {2003}
14243}
14244
14245@Article{	  graysumpternoidbarnes01,
14246  author	= {S. K. Gray and B. G. Sumpter and D. W. Noid and M. d. Barnes},
14247  title		= {Quantum Mechanical Model of Localized Electrons on the Surface of Polymer
14248		  Nanospheres},
14249  journal	= {Chem. Phys. Lett.},
14250  volume	= {333},
14251  pages		= {308--313},
14252  year		= {2001}
14253}
14254
14255@InProceedings{	  petsc-efficient,
14256  author	= {Satish Balay and William~D. Gropp and Lois Curfman McInnes and Barry~F. Smith},
14257  title		= {Efficient Management of Parallelism in Object Oriented Numerical Software
14258		  Libraries},
14259  booktitle	= {Modern Software Tools in Scientific Computing},
14260  editor	= {E. Arge and A.~M. Bruaset and H.~P. Langtangen},
14261  publisher	= {Birkh{\"{a}}user Press},
14262  pages		= {163--202},
14263  year		= {1997}
14264}
14265
14266@Article{	  mumps01,
14267  author	= {Patrick R. Amestoy and Ian S. Duff and Jean-Yves L'Excellent and Jacko Koster},
14268  title		= {A fully asynchronous multifrontal solver using distributed dynamic scheduling},
14269  journal	= {SIAM Journal on Matrix Analysis and Applications},
14270  volume	= {23},
14271  number	= {1},
14272  pages		= {15--41},
14273  year		= {2001}
14274}
14275
14276@Article{	  mumps19,
14277  title		= {{Performance and Scalability of the Block Low-Rank Multifrontal Factorization on
14278		  Multicore Architectures}},
14279  author	= {P.R. Amestoy and A. Buttari and J.-Y. L'Excellent and T. Mary},
14280  journal	= {ACM Transactions on Mathematical Software},
14281  volume	= {45},
14282  issue		= {1},
14283  pages		= {2:1--2:26},
14284  year		= {2019}
14285}
14286
14287@Article{	  zoltan06,
14288  author	= {Karen D. Devine and Erik G. Boman and Robert T. Heaphy and \"Umit V.
14289		  \c{C}ataly\"urek and Robert H. Bisseling},
14290  title		= {Parallel Hypergraph Partitioning for Irregular Problems},
14291  journal	= {SIAM Parallel Processing for Scientific Computing},
14292  month		= {February},
14293  year		= {2006}
14294}
14295
14296@Article{	  lidemmel03,
14297  author	= {Xiaoye S. Li and James W. Demmel},
14298  title		= {{SuperLU\_DIST}: a scalable distributed-memory sparse direct solver for
14299		  unsymmetric linear systems},
14300  journal	= {ACM Transactions on Mathematical Software},
14301  year		= {2003},
14302  month		= {June},
14303  volume	= {29},
14304  number	= {2},
14305  pages		= {110--140}
14306}
14307
14308@TechReport{	  superlu,
14309  author	= {James W. Demmel and John R. Gilbert and Xiaoye S. Li},
14310  title		= {{SuperLU} Users' Guide},
14311  number	= {LBNL-44289},
14312  institution	= {Lawrence Berkeley National Laboratory},
14313  year		= {2003},
14314  url		= {http://crd.lbl.gov/\~xiaoye/SuperLU/}
14315}
14316
14317@TechReport{	  trilinos-overview03,
14318  title		= {{An Overview of {T}rilinos}},
14319  author	= {Michael Heroux and Roscoe Bartlett and Vicki Howle Robert Hoekstra and Jonathan
14320		  Hu and Tamara Kolda and Richard Lehoucq and Kevin Long and Roger Pawlowski and
14321		  Eric Phipps and Andrew Salinger and Heidi Thornquist and Ray Tuminaro and James
14322		  Willenbring and Alan Williams},
14323  institution	= {Sandia National Laboratories},
14324  number	= {SAND2003-2927},
14325  year		= {2003}
14326}
14327
14328@TechReport{	  trilinos-users-guide,
14329  title		= {{Trilinos} Users Guide},
14330  author	= {Michael A. Heroux and James M. Willenbring},
14331  institution	= {Sandia National Laboratories},
14332  number	= {SAND2003-2952},
14333  url		= {http://trilinos.sandia.gov/},
14334  year		= {2003}
14335}
14336
14337@Article{	  pilut01,
14338  author	= {David Hysom and Alex Pothen},
14339  title		= {A scalable parallel algorithm for incomplete factor preconditioning},
14340  journal	= {SIAM Journal on Scientific Computing},
14341  volume	= {22},
14342  pages		= {2194--2215},
14343  year		= {2001}
14344}
14345
14346@TechReport{	  boomeramg00,
14347  author	= {V.~E. Henson and U.~M. Yang},
14348  title		= {{BoomerAMG}: A parallel algebraic multigrid solver and preconditioner},
14349  institution	= {Lawrence Livermore National Laboratory},
14350  number	= {UCRL-JC-133948},
14351  year		= {2000}
14352}
14353
14354@InCollection{	  baker2012scaling,
14355  title		= {Scaling algebraic multigrid solvers: {O}n the road to exascale},
14356  author	= {Baker, Allison H. and Falgout, Robert D. and Gamblin, Todd and Kolev, Tzanio V.
14357		  and Schulz, Martin and Yang, Ulrike Meier},
14358  booktitle	= {Competence in High Performance Computing 2010},
14359  pages		= {215--226},
14360  year		= {2012},
14361  publisher	= {Springer}
14362}
14363
14364@Article{	  knollkeyes:04,
14365  author	= {D. A. Knoll and D. E. Keyes},
14366  year		= {2004},
14367  title		= {Jacobian-free {Newton-Krylov} Methods: A Survey of Approaches and Applications},
14368  journal	= {J. Comp. Phys.},
14369  volume	= {193},
14370  pages		= {357-397}
14371}
14372
14373@Article{	  chacon02,
14374  author	= {Luis Chacon and Dana A. Knoll and John M. Finn},
14375  title		= {An implicit nonlinear reduced resistive {MHD} solver},
14376  journal	= {J. Comput. Phys},
14377  volume	= {188},
14378  year		= {2002},
14379  pages		= {15--36}
14380}
14381
14382@Article{	  mousseau03,
14383  author	= {V. A. Mousseau and D. A. Knoll},
14384  title		= {New Physics-based Preconditioning of Implicit Methods for Non-Equilibrium
14385		  Radiation Diffusion},
14386  journal	= {J. Comput. Physics},
14387  year		= {2003}
14388}
14389
14390@Article{	  mousseau00,
14391  author	= {V. A. Mousseau and D. A. Knoll and W. J. Rider},
14392  title		= {Physics-based Preconditioning and the {Newton-Krylov} Method for Non-Equilibrium
14393		  Radiation Diffusion},
14394  journal	= {J. Comput. Physics},
14395  year		= {2000},
14396  pages		= {743--765},
14397  volume	= {160}
14398}
14399
14400@Unpublished{	  facets:homepage,
14401  author	= {John {Cary (PI)}},
14402  title		= {{Framework Application for Core-Edge Transport Simulations (FACETS)}},
14403  note		= {Proto-FSP project, see \url{http://www.facetsproject.org}}
14404}
14405
14406@Unpublished{	  cpes:homepage,
14407  author	= {{C.S.} {Chang (PI)}},
14408  title		= {{Center for Plasma Edge Simulation (CPES)}},
14409  note		= {Proto-FSP project, see \url{http://www.cims.nyu.edu/cpes}}
14410}
14411
14412@Misc{		  epsi:homepage,
14413  author	= {{C.S.} {Chang (PI)}},
14414  title		= {{Center for Edge Physics Simulation (EPSI)}},
14415  note		= {\url{http://epsi.pppl.gov}}
14416}
14417
14418@Unpublished{	  groundwater-scidac2:web,
14419  author	= {Peter {Lichtner (PI)}},
14420  title		= {Modeling Multiscale-Multiphase-Multicomponent Subsurface Reactive Flows Using
14421		  Advanced Computing},
14422  howpublished	= {http://www.scidac.gov/groundwater/gwflow.html}
14423}
14424
14425@Misc{		  pflotran:web,
14426  author	= {Peter {Lichtner (PI)}},
14427  title		= {{Modeling Multiscale-Multiphase-Multicomponent Subsurface Reactive Flows Using
14428		  Advanced Computing}},
14429  note		= {\url{http://ees.lanl.gov/pflotran/}}
14430}
14431
14432@Misc{		  accel-scidac2-solicitation,
14433  author	= {{DOE Office of Science}},
14434  title		= {{Program Announcement LAB 07-09, SciDAC: Accelerator Science and Simulation}},
14435  year		= {2006},
14436  note		= {\url{http://www.science.doe.gov/grants/LAB07_09.html}}
14437}
14438
14439@Article{	  nieter04,
14440  author	= {C. Nieter and J. R. Cary},
14441  title		= {{VORPAL}: A Versatile Plasma Simulation Code},
14442  journal	= {J. Comp. Phys.},
14443  year		= {2004},
14444  volume	= {196},
14445  pages		= {448}
14446}
14447
14448@Article{	  synergia06,
14449  author	= {J. Amundson and P. Spentzouris and J. Qiang and R. Ryne},
14450  title		= {Synergia: An accelerator modeling tool with {3-D} space charge},
14451  journal	= {J. Comp. Phys.},
14452  year		= {2006},
14453  volume	= {211},
14454  pages		= {229-248}
14455}
14456
14457@Unpublished{	  stoltz07,
14458  author	= {P. H. Stoltz},
14459  title		= {Maps of {RF} cavities generated from electromagnetic simulations},
14460  year		= {2007},
14461  note		= {to appear in Proceedings of the 2007 Particle Accelerator Conference (PAC07),
14462		  Albuquerque, NM, 2007}
14463}
14464
14465@Misc{		  iter:homepage,
14466  key		= {{International Thermonuclear Experimental Reactor (ITER) homepage}},
14467  year		= {2007},
14468  title		= {{International Thermonuclear Experimental Reactor (ITER) homepage}},
14469  howpublished	= {\url{http://www.iter.org}}
14470}
14471
14472@Misc{		  epp2010,
14473  author	= {{Committee on Elementary Particle Physics in the 21st Century, National Research
14474		  Council}},
14475  title		= {Revealing the Hidden Nature of Space and Time: Charting the Course for Elementary
14476		  Particle Physics},
14477  year		= {2006},
14478  howpublished	= {The National Academies Press, ISBN: 0309101948}
14479}
14480
14481@Misc{		  post-fsp-report,
14482  author	= {D.~E.~Post and D.~B.~Batchelor and R.~B.~Bramley and J.~R.~Cary and R.~H.~Cohen
14483		  and P.~Colella and S.~C.~Jardin},
14484  title		= {{Report of Fusion Simulation Project Steering Committee}},
14485  month		= {August},
14486  year		= {2004},
14487  note		= {Available via \url{http://w3.pppl.gov/usjapanim/FSPReport.pdf}}
14488}
14489
14490@Misc{		  fsp:workshop2011,
14491  key		= {{Fusion Simulation Project (FSP) Planning Workshop}},
14492  title		= {{Fusion Simulation Project (FSP) Planning Workshop}},
14493  month		= {February},
14494  year		= {2011},
14495  note		= {\url{https://ice.txcorp.com/trac/2011_FspDefinitionWorkshop}}
14496}
14497
14498@Book{		  hazeltine-meiss-book,
14499  author	= {R.~D.~Hazeltine and J.~D.~Meiss},
14500  title		= {Plasma Confinement},
14501  year		= {1991},
14502  publisher	= {Addison-Wesley, Redwood City, CA}
14503}
14504
14505@Article{	  falgout05a,
14506  author	= {R. D. Falgout and J. E. Jones and U. M. Yang},
14507  title		= {Conceptual Interfaces in hypre},
14508  journal	= {Future Generation Computer Systems},
14509  note		= {Special issue on PDE software},
14510  volume	= {22},
14511  year		= {2005},
14512  pages		= {239--251}
14513}
14514
14515@Article{	  falgout05b,
14516  author	= {R. D. Falgout and J. E. Jones and U. M. Yang},
14517  title		= {Pursuing Scalability for hypre's Conceptual Interfaces},
14518  journal	= {ACM Trans. Math. Softw.},
14519  volume	= {31},
14520  year		= {2005},
14521  pages		= {326--350}
14522}
14523
14524@Unpublished{	  compass:homepage,
14525  author	= {Panagiotis {Spentzouris (PI)}},
14526  title		= {Community Petascale Project for Accelerator Science and Simulation (ComPASS)},
14527  note		= {SciDAC2 project, see \url{https://compass.fnal.gov/}}
14528}
14529
14530@Unpublished{	  cmsnf:homepage,
14531  author	= {{Todd Allen, Director}},
14532  title		= {{Center for Materials Science of Nuclear Fuel}},
14533  note		= {Energy Frontier Research Center, see
14534		  \url{https://inlportal.inl.gov/portal/server.pt/community/center_for_materials_science_of_nuclear_fuel}}
14535}
14536
14537@Unpublished{	  dvi-materials:project,
14538  author	= {{L.~C.} {McInnes (PI)}},
14539  title		= {Large-Scale Differential Variational Inequalities for Heterogeneous Materials},
14540  note		= {{SciDAC}-e project},
14541  year		= {2011}
14542}
14543
14544@Misc{		  scidac:homepage,
14545  author	= {{DOE Office of Science}},
14546  title		= {{Scientific Discovery through Advanced Computing}},
14547  year		= {2007},
14548  howpublished	= {\url{http://www.scidac.gov}}
14549}
14550
14551@Misc{		  corba,
14552  author	= {{Object Management Group}},
14553  year		= {2007},
14554  title		= {{Common Object Request Broker Architecture (CORBA)}},
14555  howpublished	= {\url{http://www.corba.org}}
14556}
14557
14558@Article{	  uedge,
14559  author	= {T.~D. Rognlien and D.~D. Ryutov and N. Mattor and G.~D. Porter},
14560  title		= {Two-Dimensional Electric Fields and Drifts near the Magnetic Separatrix in
14561		  Divertor Tokamak},
14562  journal	= {J. Plasma Physics},
14563  year		= {1999},
14564  volume	= {6},
14565  pages		= {1851},
14566  note		= {also see user manual at http://www.mfescience.org, then UEDGE link}
14567}
14568
14569@Article{	  bout,
14570  author	= {X.~Q. Xu and R.~H. Cohen and T.~D. Rognlien and J.~R. Myra},
14571  title		= {Low-to-High Confinement Transition Simulations in Divertor Geometry},
14572  journal	= {J. Plasma Physics},
14573  year		= {2000},
14574  volume	= {7},
14575  pages		= {1951},
14576  note		= {}
14577}
14578
14579@Article{	  bout++,
14580  author	= {B. Dudson and M. Umansky and X.~Q. Xu and P. B. Snyder and H. R. Wilson},
14581  title		= {{BOUT++}: A Framework for Parallel Plasma Fluid Simulations},
14582  journal	= {Computer Physics Communications},
14583  year		= {2009},
14584  volume	= {180},
14585  issue		= {9},
14586  pages		= {1467 -- 1480},
14587  note		= {}
14588}
14589
14590@Article{	  tempest,
14591  author	= {Z. Xiong and X.Q. Xu and B.I. Cohen and R. Cohen and M.R. Dorr and J.A. Hittinger
14592		  and G. Kerbel and W.M. Nevins and T. Rognlien},
14593  title		= {Simulation of Plasma Transport in a Toroidal Annulus with TEMPEST},
14594  journal	= {Bull. Am. Phys. Soc. },
14595  year		= {2005},
14596  volume	= {50},
14597  number	= {86},
14598  pages		= {CP1},
14599  note		= {}
14600}
14601
14602@Article{	  ccahpc,
14603  author	= {David E. Bernholdt and Benjamin A. Allan and Robert Armstrong and Felipe Bertrand
14604		  and Kenneth Chiu and Tamara L. Dahlgren and Kostadin Damevski and Wael R. Elwasif
14605		  and Thomas G. W. Epperly and Madhusudhan Govindaraju and Daniel S. Katz and James
14606		  A. Kohl and Manoj Krishnan and Gary Kumfert and J. Walter Larson and Sophia
14607		  Lefantzi and Michael J. Lewis and Allen D. Malony and Lois C. McInnes and Jarek
14608		  Nieplocha and Boyana Norris and Steven G. Parker and Jaideep Ray and Sameer Shende
14609		  and Theresa L. Windus and Shujia Zhou},
14610  title		= {A Component Architecture for High-Performance Scientific Computing},
14611  journal	= {Intl. J. High-Perf. Computing Appl.},
14612  volume	= {20},
14613  pages		= {163--202},
14614  year		= {2006},
14615  note		= {ACTS Collection special issue}
14616}
14617
14618@Misc{		  cca-forum:homepage,
14619  author	= {{Common Component Architecture Forum}},
14620  note		= {\url{http://www.cca-forum.org}},
14621  year		= {2010}
14622}
14623
14624@Misc{		  petsc:driven-cavity-example,
14625  title		= {{PETSc Driven Cavity Example Code}},
14626  author	= {B. F. {Smith et al.}},
14627  howpublished	= {\url{https://petsc.org/release/src/snes/tutorials/ex19.c.html}}
14628}
14629
14630@Misc{		  petsc-dm:webpage,
14631  author	= {B. F. {Smith et al.}},
14632  title		= {{PETSc DM Webpage}},
14633  howpublished	= {\url{https://petsc.org/release/manualpages/DM/}},
14634  year		= {2018}
14635}
14636
14637@Misc{		  unic-ref,
14638  author	= {Giuseppe Palmiotti},
14639  title		= {{UNIC} Neutronics Software},
14640  note		= {Nuclear Engineering Division, Argonne National Laboratory}
14641}
14642
14643% -----------------------------------------------------------------------
14644% Model coupling refs
14645@Book{		  greve-blatter,
14646  author	= {Ralf Greve and Heinz Blatter},
14647  title		= {Dynamics of Ice Sheets and Glaciers},
14648  series	= {Advances in Geophysical and Environmental Mechanics and Mathematics},
14649  publisher	= {Springer},
14650  year		= {2009}
14651}
14652
14653@Misc{		  doe-isicles,
14654  key		= {ISICLES},
14655  title		= {Ice {S}heet {I}nitiative for {CL}-imate {E}xtreme{S}},
14656  howpublished	= {\url{http://www.csm.ornl.gov/ISICLES/index.html}}
14657}
14658
14659@Article{	  safta2011tchem,
14660  title		= {TChem-a software toolkit for the analysis of complex kinetic models},
14661  author	= {Safta, Cosmin and Najm, Habib N and Knio, Omar},
14662  journal	= {Sandia Report, SAND2011-3282},
14663  year		= {2011}
14664}
14665
14666@Misc{		  chemkin-website,
14667  key		= {chemkin},
14668  title		= {ANSYS Chemkin-Pro Website},
14669  howpublished	= {\url{http://www.ansys.com/products/fluids/ansys-chemkin-pro}},
14670  year		= {2017}
14671}
14672
14673@Misc{		  mct-website,
14674  key		= {MCT},
14675  title		= {{M}odel {C}oupling {T}oolkit ({MCT}) {W}eb {S}ite},
14676  howpublished	= {\url{http://www.mcs.anl.gov/mct}}
14677}
14678
14679@Article{	  larson:05,
14680  author	= {Jay Larson and Robert Jacob and Everest Ong},
14681  title		= {{The Model Coupling Toolkit}: A New {Fortran90} Toolkit for Building
14682		  Multi-Physics Parallel Coupled Models},
14683  journal	= {Int. J. High Perf. Comp. App.},
14684  year		= {2005},
14685  pages		= {277--292}
14686}
14687
14688@Article{	  dennis2012computational,
14689  title		= {Computational performance of ultra-high-resolution capability in the Community
14690		  Earth System Model},
14691  author	= {Dennis, John M and Vertenstein, Mariana and Worley, Patrick H and Mirin, Arthur A
14692		  and Craig, Anthony P and Jacob, Robert and Mickelson, Sheri},
14693  journal	= {International Journal of High Performance Computing Applications},
14694  volume	= {26},
14695  number	= {1},
14696  pages		= {5--16},
14697  year		= {2012},
14698  publisher	= {SAGE Publications}
14699}
14700
14701@InProceedings{	  bettge01,
14702  author	= {T. Bettge and A. Craig and R. James and V. Wayland and G. Strand},
14703  year		= {2001},
14704  title		= {The {DOE} Parallel Climate Model {(PCM)}: The Computational Highway and
14705		  Backroads},
14706  booktitle	= {Proc. International Conference on Computational Science (ICCS) 2001},
14707  editors	= {V. N. Alexandrow and J. J. Dongarra and C. J. K. Tan},
14708  pages		= {148 -- 156},
14709  series	= {Lecture Notes in Computer Science},
14710  volume	= {2073},
14711  publisher	= {Springer-Verlag}
14712}
14713
14714@InProceedings{	  jacob01,
14715  author	= {R. Jacob and C. Schafer and I. Foster and M. Tobis and J. Anderson},
14716  year		= {2001},
14717  title		= {Computational Design and Performance of the {Gast} Ocean Atmosphere Model},
14718  booktitle	= {Proc. International Conference on Computational Science (ICCS) 2001},
14719  editors	= {V. N. Alexandrow and J. J. Dongarra and C. J. K. Tan},
14720  series	= {Lecture Notes in Computer Science},
14721  volume	= {2073},
14722  publisher	= {Springer-Verlag}
14723}
14724
14725@Article{	  chen2008new,
14726  title		= {New generation of multi-scale {NWP} system {(GRAPES)}: General scientific
14727		  design},
14728  author	= {Chen, DeHui and Xue, JiShan and Yang, XueSheng and Zhang, HongLiang and Shen,
14729		  XueShun and Hu, JiangLin and Wang, Yu and Ji, LiRen and Chen, JiaBin},
14730  journal	= {Chinese Science Bulletin},
14731  volume	= {53},
14732  number	= {22},
14733  pages		= {3433--3445},
14734  year		= {2008},
14735  publisher	= {Springer}
14736}
14737
14738@InProceedings{	  baum01,
14739  author	= {J. Baum and H. Luo and E. Mestreau and D. Sharov and R. Loehner and D. Pelessone
14740		  and C. Charman},
14741  year		= {2001},
14742  title		= {Recent Developments of a Coupled {CFD/CSD} Methodology},
14743  booktitle	= {Proc. International Conference on Computational Science (ICCS) 2001},
14744  editors	= {V. N. Alexandrow and J. J. Dongarra and C. J. K. Tan},
14745  series	= {Lecture Notes in Computer Science},
14746  volume	= {2073},
14747  publisher	= {Springer-Verlag}
14748}
14749
14750@InProceedings{	  lefantzi03,
14751  author	= {S. Lefantzi and J. Ray},
14752  year		= {2003},
14753  title		= {A Component-based Scientific Toolkit for Reacting Flows},
14754  booktitle	= {Proc. Second MIT Conference on Computational Fluid and Solid Mechanics},
14755  volume	= {2},
14756  publisher	= {Elsevier}
14757}
14758
14759@Article{	  boville98,
14760  author	= {B. A. Boville and P. R. Gent},
14761  title		= {The {NCAR} Climate System Model, Version One},
14762  journal	= {Journal of Climate},
14763  volume	= {11},
14764  year		= {1998},
14765  pages		= {1115--1130}
14766}
14767
14768@Misc{		  paraschivoiu99,
14769  author	= {M. Paraschivoiu and X.-C. Cai and M. Sarkis and D. P. Young and D. Keyes},
14770  title		= {Multi-domain multi-model formulation for compressible flows: Conservative
14771		  interface coupling and parallel implicit solvers for {3D} unstructured meshes},
14772  note		= {AIAA Paper 99-0784},
14773  year		= {1999}
14774}
14775
14776@Article{	  peszynska,
14777  author	= {M. Peszynska and M. F. Wheeler and I. Yotov},
14778  title		= {Mortar upscaling for multiphysics flow in porous media},
14779  journal	= {Computational Geosciences}
14780}
14781
14782@TechReport{	  wheeler00,
14783  author	= {M. F. Wheeler and J. Wheeler and M. Peszynska},
14784  title		= {A distributed computing portal for coupling multi-physics and multiple domains in
14785		  porous media},
14786  institution	= {University of Texas at Austin},
14787  number	= {TICAM 00-03},
14788  year		= {2000}
14789}
14790
14791@TechReport{	  peszynska00,
14792  author	= {M. Peszynska and Q. Lu and M. F. Wheeler},
14793  title		= {Multiphysics Coupling of Codes},
14794  institution	= {University of Texas at Austin},
14795  number	= {TICAM 00-02},
14796  year		= {2000}
14797}
14798
14799@Article{	  joshaghanijoodatnakshatrala2019,
14800  title		= {A stabilized mixed discontinuous Galerkin formulation for double
14801		  porosity/permeability model},
14802  author	= {MS Joshaghani and SHS Joodat and KB Nakshatrala},
14803  journal	= {Computer Methods in Applied Mechanics and Engineering},
14804  volume	= {352},
14805  pages		= {508--560},
14806  year		= {2019}
14807}
14808
14809@InProceedings{	  cai99,
14810  author	= {X.-C. Cai and M. Paraschivoiu and M. Sarkis},
14811  title		= {An explicit multi-model compressible flow formulation based on the full potential
14812		  equation and the {Euler} equations on {3D} unstructured meshes},
14813  booktitle	= {Proceedings of the 11th International Conference on Domain Decomposition
14814		  Methods},
14815  editor	= {C-H. Lai and P. Bjorstad and M. Cross and O. Widlund},
14816  year		= {1999}
14817}
14818
14819@Article{	  he05,
14820  author	= {Yun He and Chris H. Q. Ding},
14821  title		= {Coupling Multi-Component Models with {MPH} on Distributed Memory Computer
14822		  Architectures},
14823  year		= {2005},
14824  volume	= {19},
14825  pages		= {329--240},
14826  number	= {3},
14827  journal	= {Int. Journal of High Performance Computing Applications}
14828}
14829
14830@InProceedings{	  uiuc-rocket-center02,
14831  author	= {W. A. Dick and M. T. Heath},
14832  title		= {Whole System Simulation of Solid Propellant Rockets},
14833  booktitle	= {Proceedings of the AIAA Joint Propulsion Conference, AIAA2002-4345},
14834  month		= {July},
14835  year		= {2002}
14836}
14837
14838@InProceedings{	  toth04,
14839  author	= {G. Toth and O. Volberg and A. J. Ridley and T. I Gombosi and D. DeZeeuw and K. W.
14840		  Hansen and D. R. Chesney and Q. F. Stout and K. G. Powell and K. Kane and R.
14841		  Oehmke},
14842  title		= {A Physics-Based Software Framework for Sun-Earth Connection Modeling},
14843  editor	= {A. T. Y. Lui and Y. Kamide and G. Consolini},
14844  booktitle	= {Multiscale Coupling of Sun-Earth Processes, Proceedings of the Conference on the
14845		  Sun-Earth Connection},
14846  year		= {2004},
14847  publisher	= {Elsevier},
14848  pages		= {383--397}
14849}
14850
14851@Misc{		  csdrm:web,
14852  author	= {M. Aivazis and B. Goddard and D. Meiron and M. Ortiz and J. Pool and J.
14853		  Shepherd},
14854  title		= {{Center for Simulation of Dynamic Response of Materials}},
14855  note		= {California Institute of Technology, see \url{http://csdrm.caltech.edu}}
14856}
14857
14858@Misc{		  csar:web,
14859  author	= {M. {Heath (Director)}},
14860  title		= {{Center for Simulation of Advanced Rockets}},
14861  note		= {University of Illinois at Urbana-Champaign, see \url{http://www.csar.uiuc.edu}}
14862}
14863
14864@Misc{		  csafe:web,
14865  author	= {D. {Pershing (Director)}},
14866  title		= {{Center for Simulation of Accidental Fires and Explosions}},
14867  note		= {University of Utah, see \url{http://www.csafe.utah.edu}}
14868}
14869
14870@Misc{		  cits:web,
14871  author	= {P. {Moin (Director)}},
14872  title		= {{Center for Integrated Turbulence Simulations}},
14873  note		= {Stanford University, see \url{http://www.stanford.edu/group/cits}}
14874}
14875
14876@Misc{		  flash:web,
14877  author	= {D. {Lamb (Director)}},
14878  title		= {{Center for Integrated Turbulence Simulations}},
14879  note		= {University of Chicago, see \url{http://flash.uchicago.edu}}
14880}
14881
14882@TechReport{	  utah-csafe03,
14883  author	= {J. Guilkey and T. Harman and A. Xia and B. Kashiwa and P. McMurtry},
14884  title		= {An Eulerian-Lagrangian Approach for Large Deformation Fluid Structure Interaction
14885		  Problems, Part 1: Algorithm Development},
14886  institution	= {University of Utah, Center for the Simulation of Accidental Fires and
14887		  Explosions},
14888  year		= {2003}
14889}
14890
14891@InBook{	  shepherd07,
14892  author	= {M. Shepherd and E. Seol and B. FrantzDale},
14893  title		= {Toward a Multi-Model Hierarchy to Support Multiscale Simulations},
14894  year		= {2007},
14895  booktitle	= {CRC Handbook of Dynamic System Modeling},
14896  publisher	= {Wiley},
14897  pages		= {1--41},
14898  note		= {also available as SCOREC Report 2007-2, Rensselaer Polytechnic Institute}
14899}
14900
14901@InProceedings{	  cactus02,
14902  author	= {Tom Goodale and Gabrielle Allen and Gerd Lanfermann and Joan Masso and Thomas
14903		  Radke and Edward Seidel and John Shalf},
14904  title		= {The {Cactus} Framework and Toolkit: Design and Applications},
14905  booktitle	= {VECPAR'2002, 5th International Conference, Lecture Notes in Computer Science},
14906  year		= {2002},
14907  url		= {http://www.cactuscode.org/Papers/VecPar_2002.pdf}
14908}
14909
14910@Misc{		  cactus:homepage,
14911  author	= {G. {Allen et al.}},
14912  title		= {{Cactus Web page}},
14913  howpublished	= {\url{http://cactuscode.org}}
14914}
14915
14916@Misc{		  open-grid-forum:web,
14917  key		= {{Open Grid Forum}},
14918  title		= {{Open Grid Forum}},
14919  note		= {See \url{http://www.ogf.org}}
14920}
14921
14922@Misc{		  nox:web,
14923  author	= {Tamara Kolda and Roger {Pawlowski et al.}},
14924  title		= {Nonlinear Object-Oriented Solutions {(NOX)}},
14925  note		= {See \url{http://software.sandia.gov/nox}}
14926}
14927
14928@Misc{		  chombo:web,
14929  author	= {P. {Colella (PI)}},
14930  title		= {{Chombo}},
14931  note		= {See \url{http://seesar.lbl.gov/anag/chombo}}
14932}
14933
14934@Article{	  lanzkron96,
14935  author	= {P. J. Lanzkron and D. J. Rose and J. T. Wilkes},
14936  title		= {An Analysis of Approximate Nonlinear Elimination},
14937  journal	= {SIAM J. Sci. Comput.},
14938  volume	= {17},
14939  year		= {1996},
14940  pages		= {538--559}
14941}
14942
14943@Article{	  jiang95,
14944  author	= {J. Jiang and P. Forsyth},
14945  title		= {Robust Linear and Nonlinear Strategies for Solution of the Transonic {Euler}
14946		  Equations},
14947  journal	= {Computers and Fluids},
14948  volume	= {24},
14949  pages		= {753--770},
14950  year		= {1995}
14951}
14952
14953@Article{	  young90,
14954  author	= {D. Young and R. Melbin and M. Bieterman and F. Johnson and S. Samant},
14955  title		= {Global Convergence of Inexact {Newton} Methods for Transonic Flow},
14956  journal	= {Int. J. Numer. Methods Fluids},
14957  volume	= {11},
14958  pages		= {1075--1095},
14959  year		= {1990}
14960}
14961
14962@Article{	  fishwick04,
14963  author	= {Paul A. Fishwick},
14964  title		= {Toward an Integrated Multimodeling Interface: A Human-Computer Interface Approach
14965		  to Interrelating Model Structures},
14966  journal	= {SCS Trans. on Simulation},
14967  note		= {Special Issue in Grand Challenges in Computer Simulation},
14968  year		= {2004}
14969}
14970
14971@Article{	  fishwick03,
14972  author	= {Paul Fishwick and Jinho Lee and Minho Park and Jyunju Shim},
14973  title		= {{RUBE}: A Customized {2D} and {3D} Modeling Framework for Simulation},
14974  booktitle	= {Proceedings of the 2003 Winter Simulation Conference},
14975  editor	= {S. Chick and P. J. Sanchez and D. Ferrin and D. J. Morrice},
14976  year		= {2003}
14977}
14978
14979@InProceedings{	  kirner00,
14980  author	= {T. G. Kirner and V. F. Martins},
14981  title		= {Development of an Information Visualization Tool Using Virtual Reality},
14982  booktitle	= {Proceedings of the 2000 ACM Symposium on Applied Computing},
14983  year		= {2000},
14984  pages		= {604--606}
14985}
14986
14987@InProceedings{	  orso03,
14988  author	= {A. Orso and J. Jones and M. J. Harrold},
14989  title		= {Visualization of Program-Execution Data for Deployed Software},
14990  booktitle	= {Proceedings of the 2003 ACM Symposium on Software Visualization},
14991  year		= {2003},
14992  pages		= {67--76}
14993}
14994
14995@Book{		  tiller01,
14996  author	= {M. Tiller},
14997  title		= {Introduction to Physical System Modeling with Modelica},
14998  series	= {Kluwer International Series inEngineering and Computer Science},
14999  volume	= {615},
15000  publisher	= {Kluwer},
15001  year		= {2001}
15002}
15003
15004@Article{	  buck94,
15005  author	= {J. Buck and S. Ha and E. Lee and D. Messerschmitt},
15006  title		= {Ptolemy: A Framework for Simulating and Prototyping Heterogeneous Systems},
15007  journal	= {Int. Journal of Computer Simulation},
15008  volume	= {4},
15009  pages		= {155--182},
15010  year		= {1994}
15011}
15012
15013@Article{	  mu95,
15014  author	= {M. Mu and J.R. Rice},
15015  title		= {Modeling with collaborating {PDE} solvers - Theory and practice},
15016  journal	= {Comp. Syst. Engr.},
15017  volume	= {6},
15018  year		= {1995},
15019  pages		= {87--95}
15020}
15021
15022@TechReport{	  drashansky96,
15023  title		= {Multidisciplinary Problem Solving using Agents in a Cluster Environment},
15024  author	= {R. Drashansky and A. Joshi and J. R. Rice},
15025  institution	= {Emory Universtity, Department of Mathematics and Computer Science},
15026  year		= {1996}
15027}
15028
15029@Article{	  michopoulos05,
15030  title		= {Survey on Modeling and Simulation of Multiphysics Systems},
15031  author	= {John G. Michopoulos and Charbel Farhat and Jacob Fish},
15032  journal	= {Journal of Computing and Information Science in Engineering},
15033  volume	= {5},
15034  issue		= {3},
15035  pages		= {198--213},
15036  year		= {2005}
15037}
15038
15039@Article{	  dubey09,
15040  title		= {Extensibe Component-Based Architecture for {FLASH}, a Massively Parallel
15041		  Multiphysics Simulation Code},
15042  author	= {A. Dubey and K. Antypass and M. Ganapathy and L. Reid and D. Sheeler and A.
15043		  Siegel and K. Weide},
15044  journal	= {Parallel Computing},
15045  volume	= {35},
15046  issue		= {10 -- 11},
15047  pages		= {512 -- 522},
15048  year		= {2009}
15049}
15050
15051@Book{		  bottloring95,
15052  author	= {Raoul Bott and Loring W. Tu},
15053  title		= {Differential Forms in Algebraic Topology},
15054  publisher	= {Springer},
15055  year		= {1995}
15056}
15057
15058@Book{		  kobayashinomizu96,
15059  author	= {Shoshichi Kobayashi and Katsumi Nomizu},
15060  title		= {Foundations of Differential Geometry},
15061  publisher	= {Wiley-Interscience},
15062  year		= {1996}
15063}
15064
15065@Article{	  hornungkohn02,
15066  author	= {Richard D. Hornung and Scott R. Kohn},
15067  title		= {Managing Application Complexity in the SAMRAI Object-Oriented Framework},
15068  journal	= {Concurrency and Computation: Practice and Experience},
15069  volume	= {14},
15070  pages		= {347--368},
15071  year		= {2002}
15072}
15073
15074@InProceedings{	  concepts06,
15075  author	= {Douglas Gregor and Jaakko J{\"a}rvi and Jeremy Siek and Bjarne Stroustrup and
15076		  Gabriel Dos Reis and Andrew Lumsdaine},
15077  title		= {Concepts: Linguistic Support for Generic Programming in C++},
15078  booktitle	= {Proceedings of OOPSLA 2006},
15079  year		= {2006},
15080  pages		= {???--???}
15081}
15082
15083@Book{		  hatcher02,
15084  author	= {Hatcher, Allen},
15085  title		= {Algebraic Topology},
15086  publisher	= {Cambridge University Press},
15087  year		= {2002}
15088}
15089
15090@Book{		  gammahelmjohnsonvlissides95,
15091  abstract	= {{Design Patterns is a modern classic in the literature of object-oriented
15092		  development, offering timeless and elegant solutions to common problems in
15093		  software design. It describes patterns for managing object creation, composing
15094		  objects into larger structures, and coordinating control flow between objects. The
15095		  book provides numerous examples where using composition rather than inheritance
15096		  can improve the reusability and flexibility of code. Note, though, that it's not a
15097		  tutorial but a catalog that you can use to find an object-oriented design pattern
15098		  that's appropriate for the needs of your particular application--a selection for
15099		  virtuoso programmers who appreciate (or require) consistent, well-engineered
15100		  object-oriented designs.} {Now on CD, this internationally acclaimed bestseller is
15101		  more valuable than ever!
15102
15103		  Use the contents of the CD to create your own design documents and reusable
15104		  components. The CD contains: 23 patterns you can cut and paste into your own
15105		  design documents; sample code demonstrating pattern implementation; complete
15106		  Design Patterns content in standard HTML format, with numerous hyperlinked
15107		  cross-references; accessed through a standard web browser; Java-based dynamic
15108		  search mechanism, enhancing online seach capabilities; graphical user environment,
15109		  allowing ease of navigation.
15110
15111		  First published in 1995, this landmark work on object-oriented software design
15112		  presents a catalog of simple and succinct solutions to common design problems.
15113		  Created by four experienced designers, the 23 patterns contained herein have
15114		  become an essential resource for anyone developing reusable object-oriented
15115		  software. In response to reader demand, the complete text and pattern catalog are
15116		  now available on CD-ROM. This electronic version of Design Patterns enables
15117		  programmers to install the book directly onto a computer or network for use as an
15118		  online reference for creating reusable object-oriented software.
15119
15120		  The authors first describe what patterns are and how they can help you in the
15121		  design process. They then systematically name, explain, evaluate, and catalog
15122		  recurring designs in object-oriented systems. All patterns are compiled from
15123		  real-world examples and include code that demonstrates how they may be implemented
15124		  in object-oriented programming languages such as C++ and Smalltalk. Readers who
15125		  already own the book will want the CD to take advantage of its dynamic search
15126		  mechanism and ready-to-install patterns.}},
15127  author	= {Gamma, Erich and Helm, Richard and Johnson, Ralph and Vlissides, John},
15128  citeulike-article-id={115158},
15129  howpublished	= {Hardcover},
15130  isbn		= {0201633612},
15131  keywords	= {1995 algorithms architecture book books computer computing design design-pattern
15132		  design-patterns design_patterns designpatterns development diplom entwurfsmuster
15133		  four gang gof java mathgamespatterns no-tag object object-orientation
15134		  object-oriented of oo-patterns oop oriented pattern patterns programming se
15135		  software software-development software-engineering software_design
15136		  softwareengineering standard},
15137  month		= {January},
15138  publisher	= {{Addison-Wesley Professional}},
15139  title		= {Design Patterns},
15140  url		= {http://www.amazon.ca/exec/obidos/redirect?tag=citeulike04-20{\&}path=ASIN/0201633612},
15141  year		= {1995}
15142}
15143
15144@InProceedings{	  chaco95,
15145  author	= {Bruce Hendrickson and Robert Leland},
15146  title		= {A multilevel algorithm for partitioning graphs},
15147  booktitle	= {Supercomputing '95: Proceedings of the 1995 ACM/IEEE Conference on Supercomputing
15148		  (CDROM)},
15149  year		= {1995},
15150  isbn		= {0-89791-816-9},
15151  pages		= {28},
15152  location	= {San Diego, California, United States},
15153  doi		= {10.1145/224170.224228},
15154  publisher	= {ACM Press},
15155  address	= {New York}
15156}
15157
15158@Book{		  aleksandrov98,
15159  author	= {Aleksandrov, Pavel S.},
15160  title		= {Combinatorial Topology},
15161  publisher	= {Dover},
15162  volume	= {3},
15163  year		= {1998}
15164}
15165
15166@Book{		  steenrod99,
15167  abstract	= {{ Fibre bundles, now an integral part of differential geometry, are also of great
15168		  importance in modern physics--such as in gauge theory. This book, a succinct
15169		  introduction to the subject by renown mathematician Norman Steenrod, was the first
15170		  to present the subject systematically.
15171
15172		  It begins with a general introduction to bundles, including such topics as
15173		  differentiable manifolds and covering spaces. The author then provides brief
15174		  surveys of advanced topics, such as homotopy theory and cohomology theory, before
15175		  using them to study further properties of fibre bundles. The result is a classic
15176		  and timeless work of great utility that will appeal to serious mathematicians and
15177		  theoretical physicists alike. }},
15178  author	= {Steenrod, Norman},
15179  citeulike-article-id={712999},
15180  howpublished	= {Paperback},
15181  isbn		= {0691005486},
15182  keywords	= {fibre_bundles topology},
15183  month		= {April},
15184  publisher	= {{Princeton University Press}},
15185  title		= {The Topology of Fibre Bundles. (PMS-14)},
15186  url		= {http://www.amazon.ca/exec/obidos/redirect?tag=citeulike04-20{\&}path=ASIN/0691005486},
15187  year		= {1999}
15188}
15189
15190@Book{		  bredon97,
15191  author	= {Bredon, Glen E.},
15192  title		= {Sheaf Theory},
15193  publisher	= {Springer},
15194  pages		= {524},
15195  series	= {Graduate Texts in Mathematics},
15196  year		= {1997}
15197}
15198
15199@TechReport{	  tautgesmeyers04,
15200  title		= {{MOAB}: A Mesh-Oriented Database},
15201  author	= {Timothy J. Tautges and Ray Meyers and Karl Merkley and Clint Stimpson and Corey
15202		  Ernst},
15203  institution	= {Sandia National Laboratories},
15204  number	= {SAND2004-1592},
15205  month		= {April},
15206  year		= {2004}
15207}
15208
15209@Article{	  tautges04,
15210  author	= {Timothy J. Tautges},
15211  title		= {{MOAB}-{SD}: Integrated Structured and Unstructured Mesh Representation},
15212  journal	= {Engineering With Computers},
15213  volume	= {20},
15214  pages		= {286--293},
15215  year		= {2004}
15216}
15217
15218@InProceedings{	  meyers02,
15219  author	= {Ray Meyers et. al},
15220  title		= {{SNL} Implementation of the {TSTT} Mesh Interface},
15221  booktitle	= {8th International conference on numerical grid generation in computational field
15222		  simulations},
15223  month		= {June},
15224  year		= {2002}
15225}
15226
15227@InProceedings{	  seolshepard05,
15228  author	= {E. S. Seol and Mark S. Shephard},
15229  title		= {A Flexible Distributed Mesh Data Structure to Support Parallel Adaptive
15230		  Analysis},
15231  booktitle	= {Proceedings of the 8th US National Congress on Computational Mechanics},
15232  year		= {2005}
15233}
15234
15235@Article{	  beallwalshshephard04,
15236  author	= {Mark W. Beall and Joe Walsh and Mark S. Shephard},
15237  title		= {A comparison of techniques for geometry access related to mesh generation},
15238  journal	= {Engineering With Computers},
15239  volume	= {20},
15240  number	= {3},
15241  pages		= {210--221},
15242  year		= {2004}
15243}
15244
15245@Article{	  careyandersoncarneskirk04,
15246  author	= {Graham F. Carey and Michael L. Anderson and Brian R. Carnes and Benjamin S.
15247		  Kirk},
15248  title		= {Some aspects of adaptive grid technology related to boundary and interior
15249		  layers},
15250  journal	= {Journal of Computational Applied Mathematics},
15251  volume	= {166},
15252  number	= {1},
15253  pages		= {55--86},
15254  year		= {2004}
15255}
15256
15257@PhDThesis{	  gralthesis,
15258  author	= {Guntram Berti},
15259  title		= {Generic Software Components for Scientific Computing},
15260  school	= {TU Cottbus},
15261  year		= {2000},
15262  note		= {\url{http://www.math.tu-cottbus.de/~berti/diss}}
15263}
15264
15265@Article{	  whitehead1949,
15266  title		= {Combinatorial homotopy. I},
15267  author	= {John HC Whitehead},
15268  journal	= {Bulletin of the American Mathematical Society},
15269  volume	= {55},
15270  number	= {3. P1},
15271  pages		= {213--245},
15272  year		= {1949},
15273  publisher	= {American Mathematical Society}
15274}
15275
15276@Article{	  beylkincoifmanrokhlin91,
15277  author	= {Gregory Beylkin and Ronald Coifman and Vladimir Rokhlin},
15278  title		= {Fast Wavelet Transforms and Numerical Algorithms {I}},
15279  journal	= {Communications on Pure and Applied Mathematics},
15280  volume	= {44},
15281  pages		= {141--183},
15282  year		= {1991}
15283}
15284
15285@Book{		  wesseling92,
15286  author	= {Pieter Wesseling},
15287  title		= {An Introduction to Multigrid Methods},
15288  publisher	= {John Wiley and Sons},
15289  year		= {1992}
15290}
15291
15292@Book{		  grakakos04,
15293  author	= {Loukas Grakakos},
15294  title		= {Classical and Modern Fourier Analysis},
15295  publisher	= {Pearson Education},
15296  address	= {New Jersey},
15297  year		= {2004}
15298}
15299
15300@Misc{		  hlib-web-page,
15301  key		= {HLib},
15302  title		= {{HLib} {Web} page},
15303  note		= {{\texttt{http://www.hlib.org/}}},
15304  annote	= {Hierarchical matrices for fast integral transform}
15305}
15306
15307@Article{	  hackbusch99,
15308  author	= {Wolfgang Hackbusch},
15309  title		= {A sparse matrix arithmetic based on {$\mathcal H$}-matrices. Part {I}:
15310		  Introduction to {$\mathcal H$}-matrices},
15311  journal	= {Computing},
15312  volume	= {62},
15313  pages		= {89--108},
15314  year		= {1999}
15315}
15316
15317@TechReport{	  kay1999green,
15318  title		= {A {G}reen's function preconditioner for the steady-state {N}avier-{S}tokes
15319		  equations},
15320  author	= {Kay, D. and Loghin, D.},
15321  year		= {1999},
15322  institution	= {Oxford University Computing Laboratory},
15323  number	= {99/06}
15324}
15325
15326@Article{	  bebendorf2003existence,
15327  title		= {Existence of {$\mathcal H$}-matrix approximants to the inverse {FE}-matrix of
15328		  elliptic operators with {$L^\infty$}-coefficients},
15329  author	= {Bebendorf, M. and Hackbusch, W.},
15330  journal	= {Numerische Mathematik},
15331  volume	= {95},
15332  number	= {1},
15333  pages		= {1--28},
15334  year		= {2003},
15335  publisher	= {Springer}
15336}
15337
15338@Article{	  hackbusch2005direct,
15339  title		= {Direct {S}chur complement method by domain decomposition based on {$\mathcal
15340		  H$}-matrix approximation},
15341  author	= {Hackbusch, W. and Khoromskij, B.N. and Kriemann, R.},
15342  journal	= {Computing and Visualization in Science},
15343  volume	= {8},
15344  number	= {3},
15345  pages		= {179--188},
15346  year		= {2005},
15347  publisher	= {Springer}
15348}
15349
15350@TechReport{	  duphof2003,
15351  author	= {T. Dupont and J. Hoffman and C. Johnson and R. C. Kirby and M. G. Larson and A.
15352		  Logg and L. R. Scott},
15353  title		= {The {FE}ni{CS} project},
15354  institution	= {Chalmers Finite Element Center Preprint Series},
15355  number	= {2003--21},
15356  year		= {2003}
15357}
15358
15359@Article{	  flame01,
15360  author	= {John A. Gunnels and Fred G. Gustavson and Greg M. Henry and Robert A. van de
15361		  Geijn},
15362  title		= {{FLAME}: Formal Linear Algebra Methods Environment},
15363  journal	= {Transactions on Mathematical Software},
15364  volume	= {27},
15365  number	= {4},
15366  year		= {2001},
15367  pages		= {422--455}
15368}
15369
15370@Article{	  puschel05,
15371  author	= {Markus P{\"u}schel and Jos{\'e} M. F. Moura and Jeremy Johnson and David Padua
15372		  and Manuela Veloso and Bryan W. Singer and Jianxin Xiong and Franz Franchetti and
15373		  Aca Ga\v{c}i\'{c} and Yevgen Voronenko and Kang Chen and Robert W. Johnson and
15374		  Nick Rizzolo},
15375  title		= {{SPIRAL}: Code Generation for {DSP} Transforms},
15376  journal	= {Proceedings of the IEEE},
15377  volume	= {93},
15378  number	= {2},
15379  year		= {2005},
15380  note		= {special issue on "Program Generation, Optimization, and Adaptation"}
15381}
15382
15383@Article{	  kirbylogg06,
15384  author	= {Robert C. Kirby and Anders Logg},
15385  title		= {A compiler for variational forms},
15386  journal	= {ACM Transactions on Mathematical Software},
15387  volume	= {32},
15388  number	= {3},
15389  year		= {2006},
15390  issn		= {0098-3500},
15391  pages		= {417--444},
15392  doi		= {10.1145/1163641.1163644},
15393  publisher	= {ACM Press},
15394  address	= {New York, NY}
15395}
15396
15397@Article{	  kirbylogg07,
15398  author	= {Robert C. Kirby and Anders Logg},
15399  title		= {Efficient compilation of a class of variational forms},
15400  journal	= {ACM Transactions on Mathematical Software},
15401  volume	= {33},
15402  number	= {3},
15403  year		= {2007},
15404  issn		= {0098-3500},
15405  pages		= {17},
15406  doi		= {10.1145/1268769.1268771},
15407  publisher	= {ACM Press},
15408  address	= {New York, NY}
15409}
15410
15411@Article{	  bankdupont81,
15412  author	= {Randolph Bank and Todd Dupont},
15413  title		= {An optimal order process for solving finite element equations},
15414  journal	= {Mathematics of Computation},
15415  volume	= {36},
15416  pages		= {35--51},
15417  year		= {1981}
15418}
15419
15420@TechReport{	  adams00,
15421  author	= {Mark F. Adams},
15422  title		= {Evaluation of three unstructured multigrid methods on 3D finite element problems
15423		  in solid mechanics},
15424  institution	= {UC Berkeley},
15425  number	= {CSD-00-1103},
15426  year		= {2000},
15427  url		= {citeseer.ist.psu.edu/article/adams00evaluation.html}
15428}
15429
15430@Article{	  bergengradlhuelsemannruede06,
15431  author	= {Benjamin Bergen and Tobias Gradl and Frank H\"ulsemann and Ulrich R\"ude},
15432  title		= {A Massively Parallel Multigrid Method for Finite Elements},
15433  journal	= {Computing in Science \& Engineering},
15434  volume	= {8},
15435  number	= {6},
15436  pages		= {56--62},
15437  year		= {2006}
15438}
15439
15440@MastersThesis{	  brunethesis08,
15441  author	= {Peter R. Brune},
15442  title		= {Enabling Unstructured Multigrid Under the Sieve Framework},
15443  school	= {University of Chicago},
15444  address	= {Chicago, IL},
15445  year		= {2008},
15446  month		= {February}
15447}
15448
15449@Article{	  arnoldwinther02,
15450  author	= {Douglas N. Arnold and Ragnar Winther},
15451  title		= {Mixed finite elements for elasticity},
15452  journal	= {Numerische Mathematik},
15453  volume	= {92},
15454  number	= {3},
15455  month		= {September},
15456  year		= {2002},
15457  pages		= {401--419},
15458  doi		= {10.1007/s002110100348}
15459}
15460
15461@Article{	  arnoldfalkwinther06,
15462  author	= {Douglas N. Arnold and Richard S. Falk and Ragnar Winther},
15463  title		= {Finite element exterior calculus, homological techniques, and applications},
15464  journal	= {Acta Numerica},
15465  year		= {2006},
15466  volume	= {15},
15467  pages		= {1--155},
15468  publisher	= {Cambridge University Press},
15469  doi		= {10.1017/S0962492906210018}
15470}
15471
15472@Article{	  kirby04,
15473  author	= {Robert C. Kirby},
15474  title		= {Algorithm 839: {FIAT}, a new paradigm for computing finite element basis
15475		  functions},
15476  journal	= {ACM Transactions on Mathematical Software},
15477  volume	= {30},
15478  number	= {4},
15479  year		= {2004},
15480  issn		= {0098-3500},
15481  pages		= {502--516},
15482  doi		= {10.1145/1039813.1039820},
15483  publisher	= {ACM Press},
15484  address	= {New York, NY}
15485}
15486
15487@Article{	  kirby06,
15488  author	= {Robert C. Kirby},
15489  title		= {Optimizing {FIAT} with level 3 {BLAS}},
15490  journal	= {ACM Transactions on Mathematical Software},
15491  volume	= {32},
15492  number	= {2},
15493  year		= {2006},
15494  issn		= {0098-3500},
15495  pages		= {223--235},
15496  doi		= {10.1145/1141885.1141889},
15497  publisher	= {ACM Press},
15498  address	= {New York, NY}
15499}
15500
15501@Misc{		  bluecrystal08,
15502  author	= {{B}lue {C}rystal Cluster},
15503  title		= {Advanced {C}omputing {R}esearch {C}entre{,} {University of Bristol}},
15504  year		= {2008},
15505  note		= {\url{http://www.acrc.bris.ac.uk/acrc/hpc.htm}}
15506}
15507
15508@Article{	  beylkin95,
15509  author	= {Gregory Beylkin},
15510  title		= {On the Fast Fourier Transform of Functions With Singularities},
15511  journal	= {Applied and Computational Harmonic Analysis},
15512  volume	= {2},
15513  pages		= {363--381},
15514  year		= {1995}
15515}
15516
15517@InProceedings{	  riehl08,
15518  author	= {Jonathan Riehl},
15519  title		= {Implementing the MyFEM Embedded Domain-specific Language},
15520  booktitle	= {Proceedings of the Second International Workshop on Domain-specific Program
15521		  Development (DSPD'08)},
15522  address	= {Nashville, TN},
15523  year		= {2008}
15524}
15525
15526@Article{	  appel85,
15527  author	= {Andrew W. Appel},
15528  date-added	= {2008-02-27 12:23:39 +0000},
15529  date-modified	= {2008-02-27 12:24:02 +0000},
15530  doi		= {10.1137/0906008},
15531  journal	= {SIAM Journal on Scientific and Statistical Computing},
15532  keywords	= {treecodes},
15533  number	= {1},
15534  pages		= {85-103},
15535  publisher	= {SIAM},
15536  title		= {An Efficient Program for Many-Body Simulation},
15537  volume	= {6},
15538  year		= {1985}
15539}
15540
15541@Article{	  ewald21,
15542  author	= {{Ewald}, P.~P.},
15543  title		= {{Die Berechnung optischer und elektrostatischer Gitterpotentiale}},
15544  journal	= {Annalen der Physik},
15545  year		= {1921},
15546  volume	= {369},
15547  pages		= {253-287},
15548  doi		= {10.1002/andp.19213690304},
15549  adsurl	= {http://adsabs.harvard.edu/abs/1921AnP...369..253E},
15550  adsnote	= {Provided by the SAO/NASA Astrophysics Data System}
15551}
15552
15553@Article{	  greengardrokhlin87,
15554  author	= {L. Greengard and V. Rokhlin},
15555  date-added	= {2008-02-15 18:43:55 +0000},
15556  date-modified	= {2008-02-26 20:09:11 +0000},
15557  doi		= {10.1016/0021-9991(87)90140-9},
15558  journal	= {J. Comput.\ Phys.},
15559  keywords	= {FMM},
15560  number	= {2},
15561  pages		= {325--348},
15562  title		= {A Fast Algorithm for Particle Simulations},
15563  url		= {citeseer.ist.psu.edu/greengard87fast.html},
15564  volume	= {73},
15565  year		= {1987},
15566  bdsk-url-1	= {citeseer.ist.psu.edu/greengard87fast.html}
15567}
15568
15569@Article{	  greengardrokhlin97,
15570  author	= {L. Greengard and V. Rokhlin},
15571  title		= {A New Version of the Fast Multipole Method for the Laplace Equation in Three
15572		  Dimensions},
15573  journal	= {Acta Numerica},
15574  volume	= {6},
15575  year		= {1997},
15576  pages		= {229--269}
15577}
15578
15579@Article{	  luchenghuangmccammon06,
15580  author	= {Benzhuo Lu and Xiaolin Cheng and Jingfang Huang and J. Andrew McCammon},
15581  title		= {Order {N} algorithm for computation of electrostatic interactions in biomolecular
15582		  systems},
15583  journal	= {PNAS},
15584  doi		= {10.1073/pnas.0605166103},
15585  volume	= {102},
15586  number	= {51},
15587  year		= {2006},
15588  pages		= {19314--19319}
15589}
15590
15591@Article{	  schussnadlereisenberg01,
15592  author	= {Zev Schuss and Boaz Nadler and Robert S. Eisenberg},
15593  title		= {Derivation of {P}oisson and {N}ernst-{P}lanck equations in a bath and channel
15594		  from a molecular model},
15595  journal	= {Physical Review E},
15596  volume	= {64},
15597  number	= {3},
15598  year		= {2001}
15599}
15600
15601@Book{		  hairerlubichwanner02,
15602  author	= {E. Hairer and Ch. Lubich and G. Wanner},
15603  title		= {Geometric Numerical Integration},
15604  publisher	= {Springer-Verlag},
15605  address	= {Berlin Heidelberg},
15606  year		= {2002}
15607}
15608
15609@Article{	  holstbakerwang00,
15610  author	= {M. Holst and N. Baker and F. Wang},
15611  title		= {The adaptive multilevel finite element solution of the {P}oisson-{B}oltzmann
15612		  equation on massively parallel computers},
15613  journal	= {Journal of Computational Chemistry},
15614  volume	= {21},
15615  year		= {2000}
15616}
15617
15618@Book{		  hockneyeastwood81,
15619  author	= {R. Hockney and J. Eastwood},
15620  title		= {Computer simulation using particles},
15621  publisher	= {McGraw-Hill},
15622  address	= {New York},
15623  year		= {1981}
15624}
15625
15626@Article{	  lutydavistironigunsteren94,
15627  author	= {Brock A. Luty and Malcolm E. Davis and Ilario G. Tironi and Wilfred F. Van
15628		  Gunsteren},
15629  title		= {A Comparison of {P}article-{P}article, {P}article-{M}esh and {E}wald Methods for
15630		  Calculating Electrostatic Interactions in Periodic Molecular Systems},
15631  journal	= {Molecular Simulation},
15632  volume	= {14},
15633  number	= {1},
15634  year		= {1994},
15635  pages		= {11--20}
15636}
15637
15638@Book{		  briggshensonmccormick00,
15639  author	= {Briggs,, William L. and Henson,, Van Emden and McCormick,, Steve F.},
15640  title		= {A Multigrid Tutorial (2nd ed.)},
15641  year		= {2000},
15642  isbn		= {0-89871-462-1},
15643  publisher	= {Society for Industrial and Applied Mathematics},
15644  address	= {Philadelphia, PA}
15645}
15646
15647@Article{	  chartier2003spectral,
15648  title		= {Spectral AMGe ($\rho$ AMGe)},
15649  author	= {Chartier, Tim and Falgout, RD and Henson, VE and Jones, J and Manteuffel, T and
15650		  McCormick, S and Ruge, J and Vassilevski, PS},
15651  journal	= {SIAM Journal on Scientific Computing},
15652  volume	= {25},
15653  number	= {1},
15654  pages		= {1--26},
15655  year		= {2003},
15656  publisher	= {SIAM}
15657}
15658
15659@Article{	  galvis2010domain,
15660  title		= {Domain decomposition preconditioners for multiscale flows in high-contrast
15661		  media},
15662  author	= {Galvis, Juan and Efendiev, Yalchin},
15663  journal	= {Multiscale Modeling \& Simulation},
15664  volume	= {8},
15665  number	= {4},
15666  pages		= {1461--1483},
15667  year		= {2010},
15668  publisher	= {SIAM}
15669}
15670
15671@Book{		  brennerscott02,
15672  author	= {Susanne~C. Brenner and L.~Ridgway Scott},
15673  title		= {The mathematical theory of finite element methods},
15674  year		= {2002},
15675  isbn		= {0-38795-451-1},
15676  publisher	= {Springer},
15677  pages		= {361}
15678}
15679
15680@Book{		  trefethenbau97,
15681  author	= {Lloyd N. Trefethen and David {Bau, III}},
15682  title		= {Numerical Linear Algebra},
15683  publisher	= {Society for Industrial and Applied Mathematics},
15684  address	= {Philadelphia, PA},
15685  pages		= {xii + 361},
15686  year		= {1997},
15687  isbn		= {0-89871-361-7},
15688  isbn-13	= {978-0-89871-361-9},
15689  lccn		= {QA184 .T74 1997},
15690  mrclass	= {65-01 (65-02 65Fxx)},
15691  mrnumber	= {MR1444820 (98k:65002)},
15692  mrreviewer	= {Moody T. Chu},
15693  bibdate	= {Wed Jan 07 15:23:19 1998},
15694  bibsource	= {ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib}
15695}
15696
15697@Article{	  liptonreagan2014,
15698  title		= {Quantum Algorithms via Linear Algebra: A Primer},
15699  author	= {Richard J Lipton and Kenneth W Regan},
15700  pages		= {206},
15701  isbn		= {978-0-26202-839-4},
15702  year		= {2014}
15703}
15704
15705@InProceedings{	  rhea08,
15706  author	= {Carsten Burstedde and Omar Ghattas and Michael Gurnis and Georg Stadler and Eh
15707		  Tan and T.~Tu and Lucas~C. Wilcox and Shijie Zhong},
15708  title		= {Scalable adaptive mantle convection simulation on petascale supercomputers},
15709  booktitle	= {Proceedings of IEEE/ACM SC '08},
15710  year		= {2008}
15711}
15712
15713@Misc{		  bursteddewilcox09,
15714  author	= {Carsten Burstedde and Lucas~C. Wilcox},
15715  title		= {The p4est library: A parallel scalable forest of adaptive octrees},
15716  note		= {in preparation}
15717}
15718
15719@Article{	  skeeltezcanhardy02,
15720  author	= {R. D. Skeel and I. Tezcan and D. J. Hardy},
15721  title		= {Multiple Grid Methods for Classical Molecular Dynamics},
15722  journal	= {J. Comp. Chem.},
15723  volume	= {23},
15724  pages		= {673--684},
15725  year		= {2002}
15726}
15727
15728@Article{	  verschelde99,
15729  author	= {Jan Verschelde},
15730  title		= {Algorithm 795: PHCpack: a general-purpose solver for polynomial systems by
15731		  homotopy continuation},
15732  journal	= {ACM Trans. Math. Softw.},
15733  volume	= {25},
15734  number	= {2},
15735  issn		= {0098-3500},
15736  pages		= {251--276},
15737  doi		= {10.1145/317275.317286},
15738  publisher	= {ACM},
15739  address	= {New York, NY},
15740  year		= {1999}
15741}
15742
15743@InProceedings{	  sommeseverscheldewampler08,
15744  author	= {Andrew J. Sommese and Jan Verschelde and Charles W. Wampler},
15745  title		= {Solving Polynomial Systems Equation by Equation},
15746  booktitle	= {IMA Volume 146: Algorithms in Algebraic Geometry},
15747  editor	= {Alicia Dickenstein and Frank-Olaf Schreyer and Andrew J. Sommese},
15748  pages		= {133--152},
15749  publisher	= {Springer-Verlag},
15750  year		= {2008}
15751}
15752
15753@Article{	  phanthientanner77,
15754  author	= {N. Phan-Thien and R.~I. Tanner},
15755  title		= {A new constitutive equation derived from network theory},
15756  journal	= {J. Non-Newt. Fluid Mech.},
15757  volume	= {2},
15758  pages		= {353},
15759  year		= {1977}
15760}
15761
15762@Manual{	  sage,
15763  key		= {SAGE},
15764  author	= {W.\thinspace{}A. Stein and others},
15765  organization	= {The Sage~Development Team},
15766  title		= {{S}age {M}athematics {S}oftware ({V}ersion 3.3)},
15767  note		= {{\tt http://www.sagemath.org}},
15768  year		= {2009}
15769}
15770
15771@Misc{		  bateshauensteinsommesewampler06,
15772  author	= {Daniel J. Bates and Jonathan D. Hauenstein and Andrew J. Sommese and Charles W.
15773		  Wampler},
15774  title		= {{B}ertini: {S}oftware for {N}umerical {A}lgebraic {G}eometry},
15775  howpublished	= {Available at http://www.nd.edu/$\sim$sommese/bertini}
15776}
15777
15778@Article{	  archer09,
15779  author	= {A. J. Archer},
15780  collaboration	= {},
15781  title		= {Dynamical density functional theory for molecular and colloidal fluids: A
15782		  microscopic approach to fluid mechanics},
15783  publisher	= {AIP},
15784  year		= {2009},
15785  journal	= {The Journal of Chemical Physics},
15786  volume	= {130},
15787  number	= {1},
15788  eid		= {014509},
15789  numpages	= {8},
15790  pages		= {014509},
15791  keywords	= {colloids; continuum mechanics; density functional theory; free energy; glass
15792		  transition; statistical distributions; stochastic processes},
15793  doi		= {10.1063/1.3054633}
15794}
15795
15796@Article{	  giesekus1966,
15797  author	= {Hanswalter Giesekus},
15798  title		= {Die Elastizit\"at von Fl\"ussigkeiten},
15799  journal	= {Rheologica Acta},
15800  publisher	= {Springer Berlin / Heidelberg},
15801  volume	= {5},
15802  number	= {1},
15803  month		= {March},
15804  year		= {1966},
15805  doi		= {10.1007/BF01973575},
15806  pages		= {29-35}
15807}
15808
15809@Article{	  baaijens98,
15810  author	= {F.P. Baaijens},
15811  title		= {Mixed finite element methods for viscoelastic flow analysis: a review},
15812  journal	= {Journal of Non-Newtonian Fluid Mechanics},
15813  volume	= {79},
15814  year		= {1998},
15815  pages		= {361--385}
15816}
15817
15818@Book{		  joseph90,
15819  author	= {D.~D. Joseph},
15820  title		= {Fluid Dynamics of Viscoelastic Liquids},
15821  publisher	= {Springer},
15822  address	= {New York, NY},
15823  year		= {1990}
15824}
15825
15826@Article{	  oldroyd50,
15827  author	= {J.~G. Oldroyd},
15828  title		= {On the Formulation of Rheological Equations of State},
15829  journal	= {Proceedings of the Royal Society of London. Series A, Mathematical and Physical
15830		  Sciences},
15831  volume	= {200},
15832  year		= {1950},
15833  pages		= {523--541}
15834}
15835
15836@InProceedings{	  bynasungroppthakur04,
15837  author	= {S. Byna and X.-H. Sun and W. Gropp and R. Thakur},
15838  title		= {Predicting Memory-Access Cost Based on Data-Access Patterns},
15839  booktitle	= {Proceedings of IEEE International Conference on Cluster Computing, San Diego},
15840  year		= {2004}
15841}
15842
15843@Book{		  pozrikidis07,
15844  author	= {C. Pozrikidis},
15845  title		= {Fluid Dynamics: Theory, Computation, and Numerical Simulation},
15846  publisher	= {Kluwer (Springer)},
15847  pages		= {675},
15848  year		= {2001},
15849  isbn		= {0792373510}
15850}
15851
15852@Misc{		  kritzkeyesfsp07,
15853  author	= {A. Kritz and D. Keyes},
15854  title		= {{Fusion Simulation Project Workshop Report}},
15855  month		= {July},
15856  year		= {2007},
15857  note		= {Available via
15858		  \url{http://www.sc.doe.gov/ofes/More_HTML/FESAC/FESAC07/FSP_report_070702d.pdf}}
15859}
15860
15861@Misc{		  dahlburg02,
15862  author	= {J. {Dahlburg (Chair)}},
15863  title		= {{Final Report of the FESAC ISOFS SubCommittee}},
15864  year		= {2002},
15865  note		= {Available via
15866		  \url{http://www.ofes.fusion.doe.gov/More_HTML/FESAC/FESAC11-02/Dahlburg.pdf}}
15867}
15868
15869@Misc{		  brown08,
15870  author	= {D. {Brown (Chair)}},
15871  title		= {{Applied Mathematics at the U.S. Department of Energy: Past, Present, and a View
15872		  to the Future}},
15873  year		= {2008},
15874  howpublished	= {Office of Science, U.S. Department of Energy},
15875  url		= {http://science.energy.gov/~/media/ascr/pdf/program-documents/docs/Brown_report_may_08.pdf}
15876}
15877
15878@Misc{		  crosscutting10,
15879  author	= {D. Brown and P. {Messina (Chairs)}},
15880  title		= {{Scientific Grand Challenges: Crosscutting Technologies for Computing at the
15881		  Exascale}},
15882  year		= {2010},
15883  howpublished	= {Office of Science, U.S. Department of Energy},
15884  url		= {http://extremecomputing.labworks.org/SumReps/Crosscutting-SumRep-PNNL_20168.pdf}
15885}
15886
15887@Misc{		  extreme-scale-solvers-workshop12,
15888  author	= {J. Ang and K. Evans and A. Geist and M. Heroux and P. Hovland and O. Marques and
15889		  L.C. McInnes and E. Ng and S. Wild},
15890  title		= {Report on the Workshop on Extreme-Scale Solvers: Transitions to Future
15891		  Architectures},
15892  howpublished	= {Office of Advanced Scientific Computing Research, U.S. Department of Energy},
15893  note		= {{Washington, DC}, March 8-9, 2012},
15894  url		= {http://science.energy.gov/~/media/ascr/pdf/program-documents/docs/reportExtremeScaleSolvers2012.pdf},
15895  year		= {2012}
15896}
15897
15898@Misc{		  monizrosner09,
15899  author	= {{E. Moniz and R. Rosner}},
15900  title		= {{Workshop on Science Based Nuclear Energy Systems Enabled by Advanced Modeling
15901		  and Simulation at the Extreme Scale}},
15902  month		= {May},
15903  year		= {2009},
15904  note		= {See
15905		  \url{http://extremecomputing.labworks.org/crosscut/references/nuclearenergy10exascael.pdf}}
15906}
15907
15908@Misc{		  blanford08,
15909  author	= {{R. Blandord (Chair)}},
15910  title		= {{Workshop on Challenges for Understanding the Quantum Universe and the Role of
15911		  Computing at the Extreme Scale}},
15912  month		= {Dec},
15913  year		= {2008},
15914  note		= {See
15915		  \url{http://extremecomputing.labworks.org/crosscut/references/HEPreport10exascale.pdf}}
15916}
15917
15918@Misc{		  exascale07,
15919  author	= {H. Simon and T. Zacharia and R. Stevens},
15920  title		= {{Modeling and Simulation at the Exascale for Energy and the Environment}},
15921  year		= {2007},
15922  note		= {See \url{http://www.sc.doe.gov/ascr/ProgramDocuments/Docs/TownHall.pdf}}
15923}
15924
15925@Misc{		  ascrbreakthroughs08,
15926  author	= {{Panel on Recent Significant Advancements in Computational Science}},
15927  title		= {Breakthroughs},
15928  year		= {2008},
15929  note		= {See
15930		  \url{http://www.er.doe.gov/ASCR/ProgramDocuments/Docs/Breakthroughs_2008.pdf}}
15931}
15932
15933@Misc{		  petsc-rd100-2009,
15934  author	= {{R\&D Magazine}},
15935  title		= {{PETSc} {R}\&{D} 100 Award},
15936  year		= {2009},
15937  note		= {See
15938		  \url{http://www.rdmag.com/Awards/RD-100-Awards/2009/07/PETSc-Release-3-0-Expands-Capabilities}}
15939}
15940
15941@Article{	  compass-scidac08,
15942  author	= {P. Spentzouris and J. Cary and L. C. McInnes and W. Mori and C. Ng and E. Ng and
15943		  R. Ryne},
15944  title		= {Community Petascale Project for Accelerator Science and Simulation: Advancing
15945		  Computational Science for Future Accelerators and Accelerator Technologies},
15946  journal	= {J. Phys.: Conf. Ser.},
15947  volume	= {125},
15948  year		= {2008},
15949  pages		= {012001},
15950  url		= {http://iopscience.iop.org/1742-6596/125/1/012001}
15951}
15952
15953@Article{	  compass-amundson-scidac08,
15954  title		= {Multiscale, Multiphysics Beam Dynamics Framework Design and Applications},
15955  author	= {J. Amundson and D. Dechow and L. McInnes and B. Norris and P. Spentzouris and P.
15956		  Stoltz},
15957  journal	= {J. Phys.: Conf. Ser.},
15958  volume	= {125},
15959  year		= {2008}
15960}
15961
15962@InProceedings{	  muszala09,
15963  title		= {Two-tiered Component Design and Performance Analysis of {Synergia2} Accelerator
15964		  Simulations},
15965  author	= {S. Muszala and J. Amundson and L. C. McInnes and B. Norris},
15966  booktitle	= {Proceedings of the 2009 Workshop on Component-Based High Performance Computing
15967		  {(CBHPC 2009)}},
15968  year		= {2009}
15969}
15970
15971@Article{	  gaston09,
15972  title		= {{MOOSE}: A Parallel Computational Framework for Coupled Systems of Nonlinear
15973		  Equations},
15974  author	= {Derek Gaston and Chris Newman and Glen Hansen and Damien Lebrun-Grandie},
15975  journal	= {Nuclear Engineering and Design},
15976  volume	= {239},
15977  number	= {10},
15978  year		= {2009},
15979  pages		= {1768 -- 1778}
15980}
15981
15982@Article{	  gaston09b,
15983  title		= {Parallel Multiphysics Algorithms and Software for Computational Nuclear
15984		  Engineering},
15985  author	= {D. Gaston and G. Hansen and S. Kadioglu and D. Knoll and C. Newman and H. Park
15986		  and C. Permann and W. Taitano},
15987  journal	= {J. Phys.: Conf. Ser.},
15988  volume	= {180},
15989  year		= {2009},
15990  pages		= {012012}
15991}
15992
15993@Article{	  newman09,
15994  title		= {Three Dimensional Coupled Simulation of Thermomechanics, Heat, and Oxygen
15995		  Diffusion in {UO$_2$} Nuclear Fuel Rods},
15996  author	= {Chris Newman and Glen Hansen and Derek Gaston},
15997  journal	= {Journal of Nuclear Materials},
15998  volume	= {392},
15999  issue		= {1},
16000  year		= {2009},
16001  pages		= {6 -- 15}
16002}
16003
16004@Misc{		  www:fenics,
16005  author	= {{FE}ni{CS}},
16006  title		= {{FE}ni{CS} Project},
16007  howpublished	= {\url{http://www.fenics.org/}},
16008  year		= {2018}
16009}
16010
16011@InProceedings{	  zwart08,
16012  title		= {A Multiphysics and Multiscale Software Environment for Modeling Astrophysical
16013		  Systems},
16014  author	= {S. Zwart and S. McMillan and B. Nuallain and D. Heggie and J. Lombarsi and P. Hut
16015		  and S. Banerjee and H. Belkus and T. Fragos and J. Fregeau and M. Fuji and E.
16016		  Gaburov and E. Glebbeek and D. Groen and S. Harfst and R. Izzard and J. Juric and
16017		  S. Justham and P. Teuben and J. van Bever and O. Yaron and M. Zemp},
16018  booktitle	= {Proceedings of ICCS 2008},
16019  year		= {2008}
16020}
16021
16022@Article{	  klocknerwarburtonbridgehesthaven09,
16023  author	= {Kl\"{o}ckner, A. and Warburton, T. and Bridge, J. and Hesthaven, J. S.},
16024  title		= {Nodal discontinuous {G}alerkin methods on graphics processors},
16025  journal	= {J. Comput. Phys.},
16026  volume	= {228},
16027  number	= {21},
16028  year		= {2009},
16029  issn		= {0021-9991},
16030  pages		= {7863--7882},
16031  doi		= {10.1016/j.jcp.2009.06.041},
16032  publisher	= {Academic Press Professional},
16033  address	= {San Diego, CA}
16034}
16035
16036@PhDThesis{	  rankin99,
16037  author	= {Rankin, W. T.},
16038  keywords	= {FMM, parallel FMM},
16039  school	= {Department of Electrical and Computer Engineering, Duke University},
16040  title		= {Efficient parallel implementations of multipole-based {$N$}-body algorithms},
16041  year		= {1999}
16042}
16043
16044@InProceedings{	  warrensalmon93,
16045  abstract	= {We report on an efficient adaptive N-body method which we have recently designed
16046		  and implemented. The algorithm computes the forces on an arbitrary distribution of
16047		  bodies in a time which scales as N log N with the particle number. The accuracy of
16048		  the force calculations is analytically bounded, and can be adjusted via a user
16049		  defined parameter between a few percent relative accuracy, down to machine
16050		  arithmetic accuracy. Instead of using pointers to indicate the topology of the
16051		  tree, we identify...},
16052  address	= {New York},
16053  author	= {Warren, Michael S. and Salmon, John K.},
16054  booktitle	= {Proceedings of the 1993 ACM/IEEE Conference on Supercomputing},
16055  citeulike-article-id={580952},
16056  keywords	= {oct-tree},
16057  pages		= {12--21},
16058  publisher	= {ACM},
16059  title		= {A parallel hashed Oct-Tree {N}-body algorithm},
16060  year		= {1993},
16061  doi		= {10.1145/169627.169640},
16062  url		= {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.50.100}
16063}
16064
16065@Unpublished{	  cruzwccm10,
16066  author	= {Felipe A. Cruz},
16067  title		= {Heterogeneous extension of the PetFMM a Fast Multipole Library},
16068  note		= {Presentation at WCCM 2010, Sydney Australia},
16069  year		= {2010}
16070}
16071
16072@Article{	  mcguffee06,
16073  author	= {S.~R. {McGuffee} and A.~H. Elcock},
16074  title		= {Atomistically detailed simulations of concentrated protein solutions: the effects
16075		  of salt, {pH}, point mutations, and protein concentration in simulations of
16076		  1000-molecule systems},
16077  journal	= {Journal of the American Chemical Society},
16078  volume	= {128},
16079  pages		= {12098--12110},
16080  year		= {2006}
16081}
16082
16083@Article{	  nilsencaihoylandlangtangen10,
16084  author	= {{Nilsen}, J.~K. and {Cai}, X. and {Hoyland}, B. and {Petter Langtangen}, H.},
16085  title		= {{Simplifying Parallelization of Scientific Codes by a Function-Centric Approach
16086		  in Python}},
16087  journal	= {ArXiv e-prints},
16088  archiveprefix	= {arXiv},
16089  eprint	= {1002.0705},
16090  primaryclass	= {cs.DC},
16091  keywords	= {Computer Science - Distributed, Parallel, and Cluster Computing, Computer Science
16092		  - Programming Languages},
16093  year		= {2010},
16094  month		= feb,
16095  adsurl	= {http://adsabs.harvard.edu/abs/2010arXiv1002.0705N},
16096  adsnote	= {Provided by the SAO/NASA Astrophysics Data System}
16097}
16098
16099@Misc{		  mcinnes:siam09:minisymposium,
16100  title		= {Implicit Nonlinear Solvers in Multimodel Simulations},
16101  author	= {L. C. McInnes and C. {Woodward (co-organizers)}},
16102  note		= {invited minisymposium session at the SIAM Annual Meeting, July 9-10, 2009,
16103		  Denver, CO, speakers were: C. Woodward (LLNL), E. Myra (Univ. of Michigan), J.
16104		  White (Stanford Univ.), A. Barker (Univ. of Colorado, Boulder), L. Wilcox (Univ.
16105		  of Texas at Austin), R. Mills (ORNL), B. F. Smith (ANL), J. Shadid (SNL), D. Knoll
16106		  (INL), G. Hansen (INL), J. Cary (Tech-X Corp.), T. Wildey (Univ. of Texas at
16107		  Austin).}
16108}
16109
16110@Misc{		  mcinnes:fsp-summary:feb2011,
16111  author	= {Lois Curfman McInnes and Luis Chacon and John Shadid},
16112  title		= {Solvers and Time Integration Breakout Summary},
16113  note		= {FSP Planning Workshop, General Atomics, Feb 8-11, 2011, see
16114		  \url{https://ice.txcorp.com/trac/2011_FspDefinitionWorkshop}}
16115}
16116
16117@Misc{		  dvi-materials:siamcse11,
16118  title		= {Progress in Large-Scale Differential Variational Inequalities for Heterogeneous
16119		  Materials},
16120  author	= {M. Anitescu and A. El-Azab and J. Lee and L. C. McInnes and T. Munson and B. F.
16121		  Smith and L. Wang},
16122  note		= {minisymposium presentation at the 2011 SIAM Conference on Computational Science
16123		  and Engineering, March 3, 2011}
16124}
16125
16126@Misc{		  jamroz:cemm10,
16127  title		= {{JFNK} within the semi-implicit scheme in {NIMROD}},
16128  author	= {B. Jamroz and S. Kruger and T. Austin},
16129  note		= {presentation, CEMM Meeting, Chicago, IL, Nov 7, 2010}
16130}
16131
16132@Misc{		  kruger:feb4-2011,
16133  title		= {personal communication},
16134  author	= {S. Kruger},
16135  note		= {February, 2011}
16136}
16137
16138@Article{	  elman1996,
16139  author	= {H.C. Elman},
16140  title		= {Preconditioning for the steady-state {Navier-Stokes} equations for low
16141		  viscosity},
16142  journal	= {SIAM J. Sci. Comput.},
16143  volume	= {20},
16144  year		= {1996},
16145  pages		= {1299--1316}
16146}
16147
16148@Article{	  kayloghinwathen2002,
16149  author	= {D. Kay and D. Loghin and A. Wathen},
16150  title		= {A preconditioning for the steady-state {Navier-Stokes} equations},
16151  journal	= {SIAM J. Sci. Comput.},
16152  volume	= {24},
16153  year		= {2002},
16154  pages		= {237--256}
16155}
16156
16157@Article{	  elmanhowleshadidshuttleworthtuminaro2006,
16158  author	= {H.C. Elman and V.E. Howle and J. Shadid and R. Shuttleworth and R. Tuminaro},
16159  title		= {Block preconditioners based on approximate commutators},
16160  journal	= {SIAM J. Sci. Comput.},
16161  volume	= {27},
16162  number	= {5},
16163  year		= {2006},
16164  pages		= {1651--1668}
16165}
16166
16167@Article{	  braesssarazin1997,
16168  author	= {Dietrich Braess and Regina Sarazin},
16169  title		= {An efficient smoother for the {Stokes} problem},
16170  journal	= {Applied Numerical Mathematics},
16171  volume	= {23},
16172  number	= {1},
16173  year		= {1997},
16174  pages		= {3--19},
16175  doi		= {10.1016/S0168-9274(96)00059-1}
16176}
16177
16178@Article{	  wright2001large,
16179  title		= {Large-Scale Computation of Pseudospectra Using {ARPACK} and \texttt{eigs}},
16180  author	= {Wright, T.G. and Trefethen, L.N.},
16181  journal	= {SIAM Journal on Scientific Computing},
16182  volume	= {23},
16183  pages		= {591},
16184  year		= {2001}
16185}
16186
16187@Misc{		  wright2002eigtool,
16188  title		= {Eig{T}ool},
16189  author	= {Wright, T.G. and Trefethen, LN},
16190  howpublished	= {Software available at \url{http://www.comlab.ox.ac.uk/pseudospectra/eigtool}},
16191  year		= {2002}
16192}
16193
16194@Misc{		  visit-web-site,
16195  key		= {{VisIt}},
16196  title		= {{VisIt web site}},
16197  howpublished	= {\url{http://wci.llnl.gov/codes/visit/}},
16198  url		= {http://wci.llnl.gov/codes/visit/},
16199  year		= {2011}
16200}
16201
16202@Book{		  trefethen1996,
16203  title		= {Finite difference and spectral methods for ordinary and partial differential
16204		  equations},
16205  author	= {Lloyd Nicholas Trefethen},
16206  year		= {1996},
16207  publisher	= {Cornell University-Department of Computer Science and Center for Applied
16208		  Mathematics}
16209}
16210
16211@Book{		  trefethen2005spectra,
16212  title		= {Spectra and pseudospectra: the behavior of nonnormal matrices and operators},
16213  author	= {Trefethen, L.N. and Embree, M.},
16214  year		= {2005},
16215  publisher	= {Princeton University Press}
16216}
16217
16218@Article{	  gomez2010isogeometric,
16219  title		= {Isogeometric analysis of the isothermal {N}avier-{S}tokes-{K}orteweg equations},
16220  author	= {Gomez, H. and Hughes, T.J.R. and Nogueira, X. and Calo, V.M.},
16221  journal	= {Computer Methods in Applied Mechanics and Engineering},
16222  volume	= {199},
16223  number	= {25-28},
16224  pages		= {1828--1840},
16225  issn		= {0045-7825},
16226  year		= {2010},
16227  publisher	= {Elsevier}
16228}
16229
16230@Article{	  gomez2008isogeometric,
16231  title		= {Isogeometric analysis of the {C}ahn-{H}illiard phase-field model},
16232  author	= {G{\'o}mez, H. and Calo, V.M. and Bazilevs, Y. and Hughes, T.J.R.},
16233  journal	= {Computer Methods in Applied Mechanics and Engineering},
16234  volume	= {197},
16235  number	= {49-50},
16236  pages		= {4333--4352},
16237  year		= {2008},
16238  publisher	= {Elsevier}
16239}
16240
16241@Misc{		  fastmath:project,
16242  author	= {Lori {Diachin (PI)}},
16243  title		= {{SciDAC Frameworks, Algorithms, and Scalable Technologies for Mathematics
16244		  (FASTMath) Institute}},
16245  howpublished	= {\url{https://fastmath-scidac.llnl.gov}}
16246}
16247
16248@Misc{		  exascale-software:proposal,
16249  author	= {Peter {Beckman (PI)}},
16250  title		= {{Exascale Software Center}},
16251  note		= {proposal to DOE}
16252}
16253
16254@Misc{		  imex:project,
16255  author	= {Barry {Smith (PI)}},
16256  title		= {{Scalable Implicit-Explicit (IMEX) Algorithms and Software for Time-Dependent
16257		  Multimodel PDEs}},
16258  note		= {DOE ASCR applied math project}
16259}
16260
16261@Misc{		  intel-mic:website,
16262  author	= {Intel},
16263  title		= {{Many Integrated Core Architecture}},
16264  note		= {\url{http://www.intel.com/technology/architecture-silicon/mic}}
16265}
16266
16267@Article{	  dudson:2009,
16268  author	= {B.D. Dudson and M.V. Umansky and X.Q. Xu and P.B. Snyder and H.R. Wilson},
16269  title		= {{{BOUT++:}} a framework for parallel plasma fluid simulations},
16270  journal	= {Computer Physics Communications},
16271  volume	= {180},
16272  pages		= {1467},
16273  year		= {2009}
16274}
16275
16276@Article{	  umansky:2009,
16277  author	= {M.V. Umansky and X.Q. Xu and B. Dudson and L.L. LoDestro and J.R. Myra},
16278  title		= {{Status and verification of edge plasma turbulence code BOUT}},
16279  journal	= {Computer Physics Communications},
16280  year		= {2009},
16281  volume	= {180},
16282  pages		= {887-903}
16283}
16284
16285@Article{	  xu:1998,
16286  author	= {X.Q. Xu and R.H. Cohen},
16287  title		= {{Scrape-Off Layer Turbulence Theory and Simulations}},
16288  journal	= {Computer Physics Communications},
16289  year		= {1998},
16290  volume	= {36},
16291  number	= {1-2},
16292  pages		= {158}
16293}
16294
16295@Article{	  tron:1999,
16296  title		= {Newton's Method for Large Bound-constrained Optimization Problems},
16297  author	= {Chih-Jen Lin and Jorge Mor\'{e}},
16298  journal	= {SIAM Journal on Optimization},
16299  volume	= {9},
16300  number	= {4},
16301  pages		= {1100-1127},
16302  year		= {1999}
16303}
16304
16305@Article{	  stubenamg,
16306  author	= {K. St\"{u}ben},
16307  title		= {A review of algebraic multigrid},
16308  journal	= {J. Comput. Appl. Math.},
16309  volume	= {128},
16310  number	= {1-2},
16311  year		= {2001},
16312  issn		= {0377-0427},
16313  pages		= {281--309},
16314  doi		= {10.1016/S0377-0427(00)00516-1},
16315  publisher	= {Elsevier Science Publishers B. V.},
16316  address	= {Amsterdam, The Netherlands, The Netherlands}
16317}
16318
16319@Article{	  feuchtermg,
16320  author	= {D. Feuchter and I. Heppner and S. Sauter and G. Wittum},
16321  title		= {Bridging the gap between geometric and algebraic multigrid methods},
16322  journal	= {Computing and visualization in science},
16323  publisher	= {Springer},
16324  volume	= {6},
16325  number	= {1},
16326  year		= {2003},
16327  pages		= {1--13}
16328}
16329
16330@Article{	  chowmgsmoothness,
16331  abstract	= {For non-M-matrices, this paper proposes an unstructured multigrid method that
16332		  only attempts to interpolate in the directions of geometrical smoothness. These
16333		  directions are determined by analyzing samples of algebraically smooth error, e.
16334		  Neighboring grid points i and j are called smoothly coupled if e i and e j are
16335		  consistently nearby in value. In addition, these dierences may be used to dene
16336		  interpolation weights. These new ideas may be incorporated into the algebraic
16337		  multigrid method. Test results show that the new method can have much lower grid
16338		  and operator complexities compared to AMG, leading to lower solve timings. 1 },
16339  author	= {Chow, Edmond},
16340  citeulike-article-id={7675372},
16341  citeulike-linkout-0={http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.22.4305},
16342  journal	= {American Journal of Mathematics},
16343  keywords	= {fem, multigrid},
16344  pages		= {197--215},
16345  posted-at	= {2010-08-17 23:29:51},
16346  priority	= {2},
16347  title		= {An Unstructured Multigrid Method Based on Geometric Smoothness},
16348  url		= {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.22.4305},
16349  volume	= {65},
16350  year		= {2001}
16351}
16352
16353@Article{	  jonesamge,
16354  abstract	= {{This paper contains the main ideas for an AMGe (algebraic multigrid for finite
16355		  elements) method based on element agglomeration. In the method, coarse grid
16356		  elements are formed by agglomerating fine grid elements. Compatible interpolation
16357		  operators are constructed which yield coarse grid basis functions with a minimal
16358		  energy property. Heuristics based on interpolation quality measures are used to
16359		  guide the agglomeration procedure. The performance of the resulting method is
16360		  demonstrated in two-level numerical experiments.}},
16361  author	= {Jones, Jim E. and Vassilevski, Panayot S.},
16362  citeulike-article-id={8598569},
16363  citeulike-linkout-0={http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000023000001000109000001&idtype=cvips&gifs=yes},
16364  citeulike-linkout-1={http://link.aip.org/link/?SCE/23/109},
16365  journal	= {SIAM Journal on Scientific Computing},
16366  keywords	= {amg, fem, multigrid},
16367  number	= {1},
16368  pages		= {109--133},
16369  posted-at	= {2011-01-13 18:05:55},
16370  priority	= {2},
16371  publisher	= {SIAM},
16372  title		= {{AMGE Based on Element Agglomeration}},
16373  url		= {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000023000001000109000001&idtype=cvips&gifs=yes},
16374  volume	= {23},
16375  year		= {2001}
16376}
16377
16378@Article{	  saad1993,
16379  author	= {Saad, Youcef},
16380  doi		= {10.1137/0914028},
16381  issn		= {10648275},
16382  journal	= {SIAM Journal on Scientific Computing},
16383  keywords	= {65f10,ams,especially since the popularization,gate gradient,general purpose
16384		  iterative methods,gmres,krylov subspace methods,mos,non-hermitian systems,of
16385		  precondition-,preconditioned conju-,subject classi cations,variable
16386		  preconditioners},
16387  number	= {2},
16388  pages		= {461--469},
16389  title		= {{A flexible inner-outer preconditioned GMRES algorithm}},
16390  volume	= {14},
16391  year		= {1993}
16392}
16393
16394@Misc{		  path:homepage,
16395  author	= {S. Dirkse and M. Ferris and T. Munson},
16396  title		= {{{PATH} {W}eb page}},
16397  howpublished	= {\url{http://pages.cs.wisc.edu/~ferris/path.html}}
16398}
16399
16400@Article{	  ketcheson2008,
16401  author	= {David I Ketcheson},
16402  title		= {Highly Efficient Strong Stability Preserving {Runge-Kutta} Methods with
16403		  Low-Storage Implementations},
16404  volume	= {30},
16405  journal	= {SIAM Journal on Scientific Computing},
16406  year		= {2008},
16407  pages		= {2113--2136}
16408}
16409
16410@Article{	  elman2009boundary,
16411  title		= {{Boundary conditions in approximate commutator preconditioners for the
16412		  Navier-Stokes equations}},
16413  author	= {Elman, H.C. and Tuminaro, R.},
16414  journal	= {Electronic Transactions on Numerical Analysis},
16415  volume	= {35},
16416  pages		= {257--280},
16417  year		= {2009}
16418}
16419
16420@Article{	  elman2008tcp,
16421  title		= {{A taxonomy and comparison of parallel block multi-level preconditioners for the
16422		  incompressible Navier-Stokes equations}},
16423  author	= {Elman, H.C. and Howle, V.E. and Shadid, J. and Shuttleworth, R. and Tuminaro,
16424		  R.},
16425  journal	= {Journal of Computational Physics},
16426  volume	= {227},
16427  number	= {1},
16428  pages		= {1790--1808},
16429  year		= {2008},
16430  publisher	= {Academic Press},
16431  url		= {http://chess.cs.umd.edu/~elman/papers/tax.pdf}
16432}
16433
16434@Article{	  arioli2013,
16435  title		= {Generalized {G}olub--{K}ahan bidiagonalization and stopping criteria},
16436  author	= {Arioli, Mario},
16437  journal	= {SIAM Journal on Matrix Analysis and Applications},
16438  volume	= {34},
16439  number	= {2},
16440  pages		= {571--592},
16441  year		= {2013},
16442  publisher	= {SIAM}
16443}
16444
16445@Book{		  wesseling2009,
16446  title		= {Principles of computational fluid dynamics},
16447  author	= {Wesseling, Pieter},
16448  volume	= {29},
16449  year		= {2009},
16450  publisher	= {Springer Science \& Business Media}
16451}
16452
16453@Article{	  silvester2001efficient,
16454  title		= {{Efficient preconditioning of the linearized Navier-Stokes equations for
16455		  incompressible flow}},
16456  author	= {Silvester, D. and Elman, H. and Kay, D. and Wathen, A.},
16457  journal	= {Journal of Computational and Applied Mathematics},
16458  volume	= {128},
16459  number	= {1-2},
16460  pages		= {261--279},
16461  issn		= {0377-0427},
16462  year		= {2001},
16463  publisher	= {Elsevier}
16464}
16465
16466@Article{	  elman1999bfbt,
16467  title		= {{Preconditioning for the steady-state Navier-Stokes equations with low
16468		  viscosity}},
16469  author	= {Elman, H.C.},
16470  journal	= {SIAM Journal on Scientific Computing},
16471  volume	= {20},
16472  number	= {4},
16473  pages		= {1299--1316},
16474  issn		= {1064-8275},
16475  year		= {1999},
16476  publisher	= {Citeseer}
16477}
16478
16479@Article{	  elman2006bpb,
16480  title		= {{Block preconditioners based on approximate commutators}},
16481  author	= {Elman, H. and Howle, V.E. and Shadid, J. and Shuttleworth, R. and Tuminaro, R.},
16482  journal	= {SIAM Journal on Scientific Computing},
16483  volume	= {27},
16484  number	= {5},
16485  pages		= {1651--1668},
16486  year		= {2006},
16487  publisher	= {Philadelphia, PA: SIAM, c1993-}
16488}
16489
16490@Article{	  olshanskii2006analysis,
16491  title		= {{Analysis of a Stokes interface problem}},
16492  author	= {Olshanskii, M.A. and Reusken, A.},
16493  journal	= {Numerische Mathematik},
16494  volume	= {103},
16495  number	= {1},
16496  pages		= {129--149},
16497  issn		= {0029-599X},
16498  year		= {2006},
16499  publisher	= {Springer}
16500}
16501
16502@Article{	  patankar1972cph,
16503  title		= {{A calculation procedure for heat, mass and momentum transfer in
16504		  three-dimensional parabolic flows}},
16505  author	= {Patankar, S.V. and Spalding, D.B.},
16506  journal	= {Int. J. Heat Mass Transfer},
16507  volume	= {15},
16508  pages		= {1787--1806},
16509  year		= {1972}
16510}
16511
16512@Article{	  rannacher1992simple,
16513  title		= {{Simple nonconforming quadrilateral Stokes element}},
16514  author	= {Rannacher, R. and Turek, S.},
16515  journal	= {Numerical Methods for Partial Differential Equations},
16516  volume	= {8},
16517  number	= {2},
16518  pages		= {97--111},
16519  issn		= {1098-2426},
16520  year		= {1992},
16521  publisher	= {Wiley Online Library}
16522}
16523
16524@Article{	  rannacher2000finite,
16525  title		= {Finite Element Methods for the Incompressible {N}avier-{S}tokes Equations},
16526  author	= {Rannacher, R.},
16527  journal	= {Fundamental Directions in Mathematical Fluid Mechanics},
16528  pages		= {191},
16529  isbn		= {3764364149},
16530  year		= {2000},
16531  publisher	= {Birkhauser}
16532}
16533
16534@Article{	  vanka1986block,
16535  title		= {{Block-implicit multigrid solution of Navier-Stokes equations in primitive
16536		  variables}},
16537  author	= {Vanka, S.P.},
16538  journal	= {Journal of Computational Physics},
16539  volume	= {65},
16540  number	= {1},
16541  pages		= {138--158},
16542  issn		= {0021-9991},
16543  year		= {1986},
16544  publisher	= {Elsevier}
16545}
16546
16547@Article{	  eisenstat1983variational,
16548  title		= {Variational iterative methods for nonsymmetric systems of linear equations},
16549  author	= {Eisenstat, S.C. and Elman, H.C. and Schultz, M.H.},
16550  journal	= {SIAM Journal on Numerical Analysis},
16551  volume	= {20},
16552  number	= {2},
16553  pages		= {345--357},
16554  year		= {1983},
16555  publisher	= {JSTOR}
16556}
16557
16558@InProceedings{	  burstedde2008scalable,
16559  title		= {Scalable adaptive mantle convection simulation on petascale supercomputers},
16560  author	= {Burstedde, C. and Ghattas, O. and Gurnis, M. and Stadler, G. and Tan, E. and Tu,
16561		  T. and Wilcox, L.C. and Zhong, S.},
16562  booktitle	= {Proceedings of the 2008 ACM/IEEE conference on Supercomputing},
16563  pages		= {62},
16564  year		= {2008},
16565  organization	= {IEEE Press}
16566}
16567
16568@Article{	  burstedde2009parallel,
16569  title		= {Parallel scalable adjoint-based adaptive solution of variable-viscosity {Stokes}
16570		  flow problems},
16571  author	= {Burstedde, C. and Ghattas, O. and Stadler, G. and Tu, T. and Wilcox, L.C.},
16572  journal	= {Computer Methods in Applied Mechanics and Engineering},
16573  volume	= {198},
16574  number	= {21-26},
16575  pages		= {1691--1700},
16576  year		= {2009},
16577  publisher	= {Elsevier}
16578}
16579
16580@Article{	  stadler2010dynamics,
16581  title		= {The dynamics of plate tectonics and mantle flow: From local to global scales},
16582  author	= {Stadler, G. and Gurnis, M. and Burstedde, C. and Wilcox, L.C. and Alisic, L. and
16583		  Ghattas, O.},
16584  journal	= {Science},
16585  volume	= {329},
16586  number	= {5995},
16587  pages		= {1033},
16588  year		= {2010},
16589  publisher	= {American Association for the Advancement of Science}
16590}
16591
16592@Article{	  tackley2008modelling,
16593  title		= {Modelling compressible mantle convection with large viscosity contrasts in a
16594		  three-dimensional spherical shell using the yin-yang grid},
16595  author	= {Tackley, P.J.},
16596  journal	= {Physics of the Earth and Planetary Interiors},
16597  volume	= {171},
16598  number	= {1-4},
16599  pages		= {7--18},
16600  year		= {2008},
16601  publisher	= {Elsevier}
16602}
16603
16604@Article{	  moresizhonggurnis96,
16605  author	= {Louis N. Moresi and Shijie Zhong and Michael Gurnis},
16606  title		= {The accuracy of finite element solutions of {S}tokes' flow with strongly varying
16607		  viscosity},
16608  journal	= {Physics of the Earth and Planetary Interiors},
16609  volume	= {97},
16610  pages		= {83-–94},
16611  year		= {1996}
16612}
16613
16614@Article{	  moresisolomatov95,
16615  author	= {Louis N. Moresi and V. S. Solomatov},
16616  title		= {Numerical investigation of {2D} convection with extremely large viscosity
16617		  variations},
16618  journal	= {Physics of Fluids},
16619  volume	= {7},
16620  number	= {9},
16621  pages		= {2154-–2162},
16622  year		= {1995}
16623}
16624
16625@Article{	  chenmolnar83,
16626  author	= {W.-P. Chen and P. Molnar},
16627  title		= {Focal depths of intra-continental and intraplate earthquakes and their
16628		  implications for the thermal and mechanical properties of the lithosphere},
16629  journal	= {Journal of Geophysical Research},
16630  volume	= {88},
16631  pages		= {4183–-4214},
16632  year		= {1983}
16633}
16634
16635@Article{	  jackson02,
16636  author	= {J. Jackson},
16637  title		= {Strength of the continental lithosphere: time to abandon the jelly sandwich?},
16638  journal	= {GSA Today},
16639  volume	= {12},
16640  pages		= {4–-10},
16641  year		= {2002}
16642}
16643
16644@Article{	  burovwatts06,
16645  author	= {E.B. Burov and A.B. Watts},
16646  title		= {The long-term strength of continental lithosphere: jelly sandwich or creme
16647		  brulee?},
16648  journal	= {GSA Today},
16649  volume	= {16},
16650  pages		= {4–-10},
16651  year		= {2006}
16652}
16653
16654@InProceedings{	  yang:brent:2002,
16655  title		= {The Improved {BiCGStab} Method for Large and Sparse Unsymmetric Linear Systems on
16656		  Parallel Distributed Memory Architectures},
16657  author	= {Laurence T. Yang and Richard Brent},
16658  booktitle	= {Proceedings of the Fifth International Conference on Algorithms and Architectures
16659		  for Parallel Processing},
16660  year		= {2002},
16661  publisher	= {IEEE}
16662}
16663
16664@Article{	  demmel2008communication,
16665  title		= {Communication-optimal parallel and sequential {QR} and {LU} factorizations},
16666  author	= {Demmel, J. and Grigori, L. and Hoemmen, M. and Langou, J.},
16667  journal	= {Arxiv preprint arXiv:0808.2664},
16668  year		= {2008}
16669}
16670
16671@Article{	  demmel09,
16672  author	= {J. Demmel and M. Hoemmen and M. Mohiyuddin and K Yelick},
16673  title		= {Communication-optimal Iterative Methods},
16674  journal	= {Journal of Physics: Conf. Series},
16675  volume	= {180},
16676  year		= {2009}
16677}
16678
16679@TechReport{	  parms04,
16680  author	= {Yousef Saad and Masha Sosonkina},
16681  title		= {{pARMS}: A package for the parallel iterative solution of general large sparse
16682		  linear systems user's guide},
16683  number	= {UMSI2004-8},
16684  institution	= {Minnesota Supercomputer Institute, University of Minnesota},
16685  year		= {2004}
16686}
16687
16688@Article{	  picard1890,
16689  author	= {Emile Picard},
16690  title		= {M\'emoire sur la th\'eorie des \'equations aux d\'eriv\'ees partielles et la
16691		  m\'ethode des approximations successives},
16692  journal	= {Journal De Math\'ematiques Pures et Appliqu\'ees},
16693  volume	= {4},
16694  number	= {6},
16695  pages		= {145--210},
16696  year		= {1890},
16697  url		= {http://math-doc.ujf-grenoble.fr/JMPA/PDF/JMPA_1890_4_6_A3_0.pdf}
16698}
16699
16700@Book{		  rall1969,
16701  author	= {Louis B. Rall},
16702  title		= {Computational solution of nonlinear operator equations},
16703  publisher	= {Krieger Pub Co.},
16704  pages		= {225},
16705  year		= {1969}
16706}
16707
16708@Article{	  fletcherreeves1964,
16709  author	= {R. Fletcher and C. M. Reeves},
16710  title		= {Function Minimization by Conjugate Gradients},
16711  journal	= {Computer Journal},
16712  volume	= {7},
16713  pages		= {149–-154},
16714  year		= {1964}
16715}
16716
16717@InBook{	  mcinnesallanetal06,
16718  author	= {Lois Curfman McInnes and Benjamin Allan and Robert Armstrong and Steven Benson
16719		  and David Bernholdt and Tamara Dahlgren and Lori Diachin and Manojkumar Krishnan
16720		  and James Kohl and Jay Larson and Sophia Lefantzi and Jarek Nieplocha and Boyana
16721		  Norris and Steven Parker and Jaideep Ray and Shujia Zhou},
16722  editor	= {A.~M.~Bruaset and A.~Tveito},
16723  title		= {Numerical Solution of Partial Differential Equations on Parallel Computers},
16724  chapter	= {Parallel {PDE}-Based Simulations Using the {Common Component Architecture}},
16725  publisher	= {Springer},
16726  year		= {2006},
16727  number	= {51},
16728  series	= {Lecture Notes in Computational Science and Engineering},
16729  pages		= {327--381},
16730  doi		= {10.1016/S0167-8191(02)00191-6}
16731}
16732
16733@Article{	  cyrshadidtuminaro12,
16734  title		= {Stabilization and scalable block preconditioning for the {Navier–Stokes}
16735		  equations},
16736  journal	= {Journal of Computational Physics},
16737  volume	= {231},
16738  number	= {2},
16739  pages		= {345 - 363},
16740  year		= {2012},
16741  issn		= {0021-9991},
16742  doi		= {10.1016/j.jcp.2011.09.001},
16743  author	= {Eric C. Cyr and John N. Shadid and Raymond S. Tuminaro}
16744}
16745
16746@Article{	  keyesmcinneswoodwardetal13,
16747  title		= {Multiphysics Simulations: Challenges and Opportunities},
16748  author	= {David E. Keyes and Lois Curfman McInnes and Carol Woodward and William Gropp and
16749		  Eric Myra and Michael Pernice and John Bell and Jed Brown and Alain Clo and
16750		  Jeffrey Connors and Emil Constantinescu and Don Estep and Kate Evans and Charbel
16751		  Farhat and Ammar Hakim and Glenn Hammond and Glen Hansen and Judith Hill and Tobin
16752		  Isaac and Xiangmin Jiao and Kirk Jordan and Dinesh Kaushik and Efthimios Kaxiras
16753		  and Alice Koniges and Kihwan Lee and Aaron Lott and Qiming Lu and John Magerlein
16754		  and Reed Maxwell and Michael McCourt and Miriam Mehl and Roger Pawlowski and
16755		  Amanda Peters Randles and Daniel Reynolds and B\'{e}atrice Rivi\`{e}re and Ulrich
16756		  R\"{u}de and Tim Scheibe and John Shadid and Brendan Sheehan and Mark Shephard and
16757		  Andrew Siegel and Barry Smith and Xianzhu Tang and Cian Wilson and Barbara Wohlmuth},
16758  journal	= {International Journal of High Performance Computing Applications},
16759  month		= {Feb},
16760  year		= {2013},
16761  volume	= {27},
16762  number	= {1},
16763  pages		= {4--83},
16764  doi		= {10.1177/1094342012468181},
16765  note		= {Special issue},
16766  abstract	= {We consider multiphysics applications from algorithmic and architectural
16767		  perspectives, where ``algorithmic'' includes both mathematical analysis and
16768		  computational complexity and ``architectural'' includes both software and hardware
16769		  environments. Many diverse multiphysics applications can be reduced, en route to
16770		  their computational simulation, to a common algebraic coupling paradigm.
16771		  Mathematical analysis of multiphysics coupling in this form is not always
16772		  practical for realistic applications, but model problems representative of
16773		  applications discussed herein can provide insight. A variety of software
16774		  frameworks for multiphysics applications have been constructed and refined within
16775		  disciplinary communities and executed on leading-edge computer systems. We examine
16776		  several of these, expose some commonalities among them, and attempt to extrapolate
16777		  best practices to future systems. From our study, we summarize challenges and
16778		  forecast opportunities.}
16779}
16780
16781@Misc{		  rosner10,
16782  author	= {Robert {Rosner (Chair)}},
16783  title		= {{The Opportunities and Challenges of Exascale Computing}},
16784  year		= {2010},
16785  howpublished	= {Office of Science, U.S. Department of Energy},
16786  url		= {http://science.energy.gov/~/media/ascr/ascac/pdf/reports/Exascale_subcommittee_report.pdf}
16787}
16788
16789@Misc{		  kogge2008exascale,
16790  title		= {ExaScale Computing Study: {T}echnology Challenges in achieving exascale systems},
16791  author	= {Peter Kogge and Keren Bergman and Shekhar Borkar and Dan Campbell and Willian
16792		  Carlson and William Dally and Monty Denneau and Paul Franzon and William Harrod
16793		  and Kerry Hill and Jon Hiller and Sherman Karp and Stephen Keckler and Dean Klein
16794		  and Robert Lucas and Mark Richards and Al Scarpelly and Steven Scott and Allan
16795		  Snavely and Themas Sterling and R. Stanley Williams and Katherine Yelick},
16796  howpublished	= {DARPA},
16797  year		= {2008},
16798  url		= {http://www.cse.nd.edu/Reports/2008/TR-2008-13.pdf}
16799}
16800
16801@Misc{		  doegrandchallengeworkshops,
16802  key		= {Office of Science, U.S. Department of Energy},
16803  title		= {{Scientific Grand Challenges Workshop Series}},
16804  howpublished	= {Office of Science, U.S. Department of Energy, see
16805		  \url{http://extremecomputing.labworks.org/workshops.stm}}
16806}
16807
16808@Misc{		  lawrence2011,
16809  key		= {Lawrence},
16810  title		= {{Ernest Orlando Lawrence Award Winners}},
16811  howpublished	= {U.S. Department of Energy, {\footnotesize
16812		  \url{http://energy.gov/articles/secretary-chu-announces-2011-ernest-orlando-lawrence-award-winners}}},
16813  year		= {2011}
16814}
16815
16816@Article{	  murphy2000npi,
16817  title		= {{A note on preconditioning for indefinite linear systems}},
16818  author	= {Murphy, M.F. and Golub, G.H. and Wathen, A.J.},
16819  journal	= {SIAM Journal on Scientific Computing},
16820  volume	= {21},
16821  number	= {6},
16822  pages		= {1969--1972},
16823  year		= {2000},
16824  publisher	= {Philadelphia, PA: SIAM, c1993-}
16825}
16826
16827@Article{	  elman2011bouyancy,
16828  title		= {Fast iterative solvers for buoyancy driven flow problems},
16829  journal	= {Journal of Computational Physics},
16830  volume	= {230},
16831  number	= {10},
16832  pages		= {3900 - 3914},
16833  year		= {2011},
16834  note		= {},
16835  issn		= {0021-9991},
16836  doi		= {10.1016/j.jcp.2011.02.014},
16837  author	= {Howard Elman and Milan Mihajlovic and David Silvester},
16838  keywords	= {Navier-Stokes, Boussinesq, Finite element approximation, Time stepping,
16839		  Adaptivity, Preconditioning, Algebraic multigrid}
16840}
16841
16842@Article{	  dongarrabeckman11,
16843  author	= {J. Dongarra and P. Beckman and et al.},
16844  title		= {The {I}nternational {E}xascale {S}oftware {P}roject {R}oadmap},
16845  journal	= {Int. J. High Perf. Comput. Applics.},
16846  volume	= {25},
16847  year		= {2011},
16848  pages		= {3--60}
16849}
16850
16851@Article{	  mandel1999energy,
16852  title		= {Energy optimization of algebraic multigrid bases},
16853  author	= {Mandel, J. and Brezina, M. and Van{\v{e}}k, P.},
16854  journal	= {Computing},
16855  volume	= {62},
16856  number	= {3},
16857  pages		= {205--228},
16858  year		= {1999},
16859  publisher	= {Springer}
16860}
16861
16862@Article{	  vanek1996algebraic,
16863  title		= {Algebraic multigrid by smoothed aggregation for second and fourth order elliptic
16864		  problems},
16865  author	= {Van{\v{e}}k, P. and Mandel, J. and Brezina, M.},
16866  journal	= {Computing},
16867  volume	= {56},
16868  number	= {3},
16869  pages		= {179--196},
16870  year		= {1996},
16871  publisher	= {Springer}
16872}
16873
16874@Article{	  vanek2001convergence,
16875  title		= {Convergence of algebraic multigrid based on smoothed aggregation},
16876  author	= {Van{\v{e}}ek, P. and Brezina, M. and Mandel, J.},
16877  journal	= {Numerische Mathematik},
16878  volume	= {88},
16879  number	= {3},
16880  pages		= {559--579},
16881  year		= {2001},
16882  publisher	= {Springer}
16883}
16884
16885@Article{	  brannick2007algebraic,
16886  title		= {Algebraic multigrid methods based on compatible relaxation and energy
16887		  minimization},
16888  author	= {Brannick, J. and Zikatanov, L.},
16889  journal	= {Domain decomposition methods in science and engineering XVI},
16890  pages		= {15--26},
16891  year		= {2007},
16892  publisher	= {Springer}
16893}
16894
16895@Article{	  brannickfalgout2010,
16896  title		= {{Compatible Relaxation and Coarsening in Algebraic Multigrid}},
16897  author	= {James J. Brannick and Robert D. Falgout},
16898  journal	= {SIAM Journal on Scientific Computing},
16899  volume	= {32},
16900  number	= {3},
16901  pages		= {1393--1416},
16902  url		= {http://epubs.siam.org/doi/10.1137/090772216},
16903  doi		= {10.1137/090772216},
16904  issn		= {1064-8275},
16905  year		= {2010}
16906}
16907
16908@Article{	  xu2004energy,
16909  title		= {On an energy minimizing basis for algebraic multigrid methods},
16910  author	= {Xu, J. and Zikatanov, L.},
16911  journal	= {Computing and Visualization in Science},
16912  volume	= {7},
16913  number	= {3},
16914  pages		= {121--127},
16915  year		= {2004},
16916  publisher	= {Springer}
16917}
16918
16919@Article{	  dblp:journals/toms/bakerhlt09,
16920  author	= {C. G. Baker and Ulrich Hetmaniuk and Richard B. Lehoucq and Heidi Thornquist},
16921  title		= {Anasazi software for the numerical solution of large-scale eigenvalue problems},
16922  journal	= {ACM Trans. Math. Softw.},
16923  volume	= {36},
16924  number	= {3},
16925  year		= {2009},
16926  doi		= {10.1145/1527286.1527287},
16927  bibsource	= {DBLP, http://dblp.uni-trier.de}
16928}
16929
16930@Article{	  dblp:journals/siamsc/yanggbllhn05,
16931  author	= {Chao Yang and Weiguo Gao and Zhaojun Bai and Xiaoye S. Li and Lie-Quan Lee and
16932		  Parry Husbands and Esmond G. Ng},
16933  title		= {An Algebraic Substructuring Method for Large-Scale Eigenvalue Calculation},
16934  journal	= {SIAM J. Scientific Computing},
16935  volume	= {27},
16936  number	= {3},
16937  year		= {2005},
16938  pages		= {873-892},
16939  doi		= {10.1137/040613767},
16940  bibsource	= {DBLP, http://dblp.uni-trier.de}
16941}
16942
16943@TechReport{	  ml-guide,
16944  author	= {M.W. Gee and C.M. Siefert and J.J. Hu and R.S. Tuminaro and M.G. Sala},
16945  title		= {{ML} 5.0 Smoothed Aggregation User's Guide},
16946  institution	= {Sandia National Laboratories},
16947  year		= {2006},
16948  number	= {SAND2006-2649}
16949}
16950
16951@Article{	  brannick06,
16952  title		= {An energy-based AMG coarsening strategy},
16953  volume	= {13},
16954  doi		= {10.1002/nla.480},
16955  number	= {2-3},
16956  journal	= {Numerical Linear Algebra with Applications},
16957  author	= {Brannick, J and Brezina, M and MacLachlan, S and Manteuffel, T and McCormick, S
16958		  and Ruge, J},
16959  year		= {2006},
16960  pages		= {133--148}
16961}
16962
16963@Article{	  olson10,
16964  author	= {Olson, Luke N. and Schroder, Jacob and Tuminaro, Raymond S.},
16965  title		= {A new perspective on strength measures in algebraic multigrid},
16966  journal	= {Numerical Linear Algebra with Applications},
16967  volume	= {17},
16968  number	= {4},
16969  pages		= {713--733},
16970  year		= {2010},
16971  publisher	= {John Wiley \& Sons, Ltd.},
16972  issn		= {1099-1506},
16973  doi		= {10.1002/nla.669}
16974}
16975
16976@Article{	  olson11,
16977  author	= {Olson, Luke N. and Schroder, Jacob B. and Tuminaro, Raymond S.},
16978  title		= {A General Interpolation Strategy for Algebraic Multigrid Using Energy
16979		  Minimization},
16980  journal	= {SIAM J. Sci. Comput.},
16981  issue_date	= {April 2011},
16982  volume	= {33},
16983  issue		= {2},
16984  month		= apr,
16985  year		= {2011},
16986  issn		= {1064-8275},
16987  pages		= {966--991},
16988  numpages	= {26},
16989  doi		= {10.1137/100803031},
16990  acmid		= {2078825},
16991  publisher	= {Society for Industrial and Applied Mathematics},
16992  address	= {Philadelphia, PA},
16993  keywords	= {algebraic multigrid, interpolation, non-Hermitian, nonsymmetric, smoothed
16994		  aggregation}
16995}
16996
16997@Article{	  dorit2011,
16998  author	= {Dorit Ron and Ilya Safro and Achi Brandt},
16999  title		= {Relaxation-Based Coarsening and Multiscale Graph Organization},
17000  journal	= {Multiscale Modeling {\&} Simulation},
17001  volume	= {9},
17002  number	= {1},
17003  year		= {2011},
17004  pages		= {407-423},
17005  doi		= {10.1137/100791142}
17006}
17007
17008@Article{	  chen2011algebraic,
17009  title		= {Algebraic distance on graphs},
17010  author	= {Chen, Jie and Safro, Ilya},
17011  journal	= {SIAM Journal on Scientific Computing},
17012  volume	= {33},
17013  number	= {6},
17014  pages		= {3468--3490},
17015  year		= {2011},
17016  publisher	= {SIAM}
17017}
17018
17019@InProceedings{	  adams04,
17020  author	= {Adams, M.~F. and Bayraktar, H.~H. and Keaveny, T.~M. and Papadopoulos, P.},
17021  booktitle	= {ACM/IEEE Proceedings of SC2004: High Performance Networking and Computing},
17022  title		= {Ultrascalable implicit finite element analyses in solid mechanics with over a
17023		  half a billion degrees of freedom},
17024  note		= {Gordon Bell Award},
17025  year		= {2004}
17026}
17027
17028@Article{	  adams03a,
17029  author	= {Adams, M.~F.},
17030  journal	= {Numerical Linear Algebra with Applications},
17031  number	= {2-3},
17032  pages		= {141-153},
17033  title		= {Algebraic multigrid methods for constrained linear systems with applications to
17034		  contact problems in solid mechanics},
17035  volume	= {11},
17036  year		= {2004}
17037}
17038
17039@Article{	  adams-10a,
17040  author	= {M. ~F. Adams and Ravi Samtaney and Achi Brandt},
17041  doi		= {10.1016/j.jcp.2010.04.024},
17042  issn		= {0021-9991},
17043  journal	= {Journal of Computational Physics},
17044  keywords	= {Implicit magnetohydrodynamics},
17045  number	= {18},
17046  pages		= {6208 - 6219},
17047  title		= {Toward textbook multigrid efficiency for fully implicit resistive
17048		  magnetohydrodynamics},
17049  volume	= {229},
17050  year		= {2010}
17051}
17052
17053@InProceedings{	  adams98,
17054  address	= {Copper Mountain, CO},
17055  author	= {Adams, M.~F.},
17056  booktitle	= {Proceedings 5th Copper Mountain Conference on Iterative Methods},
17057  title		= {A Parallel Maximal Independent Set Algorithm},
17058  year		= {1998}
17059}
17060
17061@InProceedings{	  madaypatera89,
17062  author	= {Y. Maday and A. T. Patera},
17063  title		= {Spectral element methods for the {Navier-Stokes} equations},
17064  editor	= {A. K. Noor and J. T. Oden},
17065  booktitle	= {State-of-the-Art Surveys in Computational Mechanics},
17066  pages		= {71-–143},
17067  publisher	= {ASME},
17068  address	= {New York, NY},
17069  year		= {1989}
17070}
17071
17072@Article{	  mishra2012mlmcfvm,
17073  title		= {Multi-level {M}onte {C}arlo finite volume methods for nonlinear systems of
17074		  conservation laws in multi-dimensions},
17075  journal	= {Journal of Computational Physics},
17076  volume	= {231},
17077  number	= {8},
17078  pages		= {3365--3388},
17079  year		= {2012},
17080  issn		= {0021-9991},
17081  doi		= {10.1016/j.jcp.2012.01.011},
17082  author	= {S. Mishra and Ch. Schwab and J. {\v S}ukys},
17083  keywords	= {Conservation laws, Euler, MHD, Uncertainty quantification, Multi-level Monte
17084		  Carlo, Parallelization}
17085}
17086
17087@Article{	  barth2011mlmcfe,
17088  author	= {Barth, Andrea and Schwab, Christoph and Zollinger, Nathaniel},
17089  affiliation	= {ETH Zentrum, Seminar für Angewandte Mathematik, Rämistrasse 101, 8092 Zurich,
17090		  Switzerland},
17091  title		= {Multi-Level {M}onte {C}arlo Finite Element method for elliptic {PDE}s with
17092		  stochastic coefficients},
17093  journal	= {Numerische Mathematik},
17094  publisher	= {Springer Berlin / Heidelberg},
17095  issn		= {0029-599X},
17096  keyword	= {Mathematics and Statistics},
17097  pages		= {123-161},
17098  volume	= {119},
17099  issue		= {1},
17100  doi		= {10.1007/s00211-011-0377-0},
17101  year		= {2011}
17102}
17103
17104@Article{	  nguyen2011hybridizable,
17105  title		= {Hybridizable discontinuous {G}alerkin methods},
17106  author	= {Nguyen, N.C. and Peraire, J. and Cockburn, B.},
17107  journal	= {Spectral and High Order Methods for Partial Differential Equations},
17108  pages		= {63--84},
17109  year		= {2011},
17110  publisher	= {Springer}
17111}
17112
17113@Misc{		  snyder-scidac3:proposal,
17114  author	= {Philip {Snyder (PI)}},
17115  title		= {{Plasma Edge Advanced Computation (PEAC) Center}},
17116  note		= {proposal to DOE SciDAC3},
17117  month		= {Oct},
17118  year		= {2011}
17119}
17120
17121@Misc{		  wirth-scidac3:proposal,
17122  author	= {Brian {Wirth (PI)}},
17123  title		= {{Plasma Surface Interactions: Bridging from the Surface to the Micron Frontier
17124		  through Leadership Class Computing}},
17125  note		= {proposal to DOE SciDAC3},
17126  month		= {Oct},
17127  year		= {2011}
17128}
17129
17130@Misc{		  cary-scidac3:proposal,
17131  author	= {John {Cary (PI)}},
17132  title		= {{Integrated Multiscale Modeling for Plasma Analysis and Control of Tokamak
17133		  Stability (IMMPACTS)}},
17134  note		= {proposal to DOE SciDAC3},
17135  month		= {Oct},
17136  year		= {2011}
17137}
17138
17139@Misc{		  vashista-scidac3:proposal,
17140  author	= {Priya {Vashista (PI)}},
17141  title		= {{Design of Damage-Tolerance Material Interfaces for Extreme
17142		  Stress-Temperature-Corrosion Environments: Algorithms and Methods for
17143		  Multi-Petaflops Simulations}},
17144  note		= {proposal to DOE SciDAC3},
17145  month		= {March},
17146  year		= {2012}
17147}
17148
17149@Article{	  elemental2012,
17150  author	= {Jack Poulson and Bryan Marker and Jeff R. Hammond and Nichols A. Romero and
17151		  Robert {v}an~{d}e~{G}eijn},
17152  title		= {Elemental: A New Framework for Distributed Memory Dense Matrix Computations},
17153  journal	= {{ACM} Transactions on Mathematical Software},
17154  volume	= {39},
17155  number	= {2},
17156  year		= {2013}
17157}
17158
17159@Misc{		  elemental-web-page,
17160  author	= {Jack Poulson},
17161  title		= {Elemental: Distributed memory dense linear algebra},
17162  howpublished	= {\url{http://libelemental.org}},
17163  url		= {http://libelemental.org/},
17164  year		= {2015}
17165}
17166
17167@Book{		  scalesreport,
17168  title		= {A Science-based Case for Large-scale Simulation},
17169  editor	= {D. E. Keyes},
17170  publisher	= {U.S. Department of Energy},
17171  year		= {2004},
17172  url		= {http://www.pnl.gov/scales}
17173}
17174
17175@InProceedings{	  cilk95,
17176  address	= {Santa Barbara, California},
17177  author	= {Robert D. Blumofe and Christopher F. Joerg and Bradley C. Kuszmaul and Charles E.
17178		  Leiserson and Keith H. Randall and Yuli Zhou},
17179  booktitle	= {Proceedings of the Fifth ACM SIGPLAN Symposium on Principles and Practice of
17180		  Parallel Programming (PPoPP)},
17181  day		= {19--21},
17182  month		= jul,
17183  pages		= {207--216},
17184  title		= {{Cilk}: An Efficient Multithreaded Runtime System},
17185  year		= {1995}
17186}
17187
17188@Misc{		  valgrind-web-page,
17189  author	= {Julian Seward},
17190  title		= {Valgrind},
17191  url		= {http://valgrind.org/},
17192  howpublished	= {\url{http://valgrind.org/}},
17193  year		= {2012}
17194}
17195
17196@Article{	  blas79,
17197  author	= {C.~L. Lawson and R.~J. Hanson and D. Kincaid and F.~T. Krogh},
17198  title		= {Basic linear algebra subprograms for Fortran usage},
17199  journal	= {ACM Transactions on Mathematical Software},
17200  volume	= {5},
17201  pages		= {308--323},
17202  year		= {1979}
17203}
17204
17205@TechReport{	  lapack90,
17206  author	= {E. Anderson and Z. Bai and C. Bischof and J. Demmel and J. Dongarra and J.
17207		  Du~Croz and A. Greenbaum and S. Hammarling and A. McKenney and D. Sorensen},
17208  title		= {{LAPACK}: A portable linear algebra library for high-performance computers},
17209  institution	= {Computer Science Dept., University of Tennessee},
17210  number	= {CS-90-105},
17211  month		= {May},
17212  year		= {1990}
17213}
17214
17215@TechReport{	  nvidiafermi,
17216  author	= {NVIDIA},
17217  title		= {{NVIDIA}'s Next Generation {CUDA} Compute Architecture: {F}ermi},
17218  institution	= {NVIDIA},
17219  year		= {2009}
17220}
17221
17222@Misc{		  intelmic,
17223  author	= {Many Core Group, Cambridge University},
17224  title		= {Intel Many Integrated Core Architecture},
17225  howpublished	= {\url{http://www.many-core.group.cam.ac.uk/ukgpucc2/talks/Elgar.pdf}},
17226  month		= {December},
17227  year		= {2010}
17228}
17229
17230@Article{	  abusufahkucklawrie81,
17231  author	= {W. Abu-Sufah and D.~J. Kuck and D.~H. Lawrie},
17232  title		= {On the Performance Enhancement of Paging Systems Through Program Analysis and
17233		  Transformations},
17234  journal	= {IEEE Trans. Comput.},
17235  volume	= {30},
17236  number	= {5},
17237  pages		= {341--356},
17238  year		= {1981}
17239}
17240
17241@InProceedings{	  guobikshandifraguelagarzaranpadua08,
17242  author	= {Guo, Jia and Bikshandi, Ganesh and Fraguela, Basilio B. and Garzaran, Maria J.
17243		  and Padua, David},
17244  title		= {Programming with tiles},
17245  booktitle	= {Proceedings of the 13th ACM SIGPLAN Symposium on Principles and practice of
17246		  parallel programming},
17247  series	= {PPoPP '08},
17248  year		= {2008},
17249  isbn		= {978-1-59593-795-7},
17250  location	= {Salt Lake City, UT},
17251  pages		= {111--122},
17252  numpages	= {12},
17253  doi		= {10.1145/1345206.1345225},
17254  acmid		= {1345225},
17255  publisher	= {ACM},
17256  address	= {New York, NY}
17257}
17258
17259@Article{	  strout04,
17260  journal	= {International Journal of High Performance Computing Applications},
17261  year		= {2004},
17262  title		= {Sparse Tiling for Stationary Iterative Methods},
17263  month		= {February},
17264  publisher	= {Sage Publications},
17265  pages		= {95-114},
17266  volume	= {18},
17267  number	= {1},
17268  author	= {Michelle Mills Strout and Larry Carter and Jeanne Ferrante and Barbara Kreaseck}
17269}
17270
17271@Misc{		  openclstandard,
17272  author	= {Khronos Group},
17273  title		= {{OpenCL} 1.2 Specification},
17274  howpublished	= {\url{http://www.khronos.org/registry/cl/specs/opencl-1.2.pdf}},
17275  url		= {http://www.khronos.org/registry/cl/specs/opencl-1.2.pdf},
17276  year		= {2011}
17277}
17278
17279@Misc{		  stlguide,
17280  author	= {SGI},
17281  title		= {Standard Template Library Programmer's Guide},
17282  howpublished	= {\url{http://www.sgi.com/tech/stl/}},
17283  url		= {http://www.sgi.com/tech/stl/},
17284  year		= {2011}
17285}
17286
17287@Book{		  stepanov09,
17288  author	= {Alexander Stepanov and Paul McJones},
17289  title		= {Elements of Programming},
17290  publisher	= {Addison-Wesley},
17291  isbn		= {978-0-321-63537-2},
17292  year		= {2009}
17293}
17294
17295@Article{	  bangerthhartmannkanschat2007,
17296  author	= {W. Bangerth and R. Hartmann and G. Kanschat},
17297  title		= {{deal.II} -- a General Purpose Object Oriented Finite Element Library},
17298  journal	= {ACM Trans. Math. Softw.},
17299  year		= {2007},
17300  volume	= {33},
17301  number	= {4},
17302  pages		= {24/1--24/27}
17303}
17304
17305@Misc{		  dealii-web-page,
17306  author	= {W. Bangerth and R. Hartmann and G. Kanschat},
17307  title		= {{deal.II}},
17308  howpublished	= {\url{http://www.dealii.org/}},
17309  url		= {http://www.dealii.org/},
17310  year		= {2012}
17311}
17312
17313@InBook{	  siek2012,
17314  title		= {The C++0x ``Concepts'' Effort},
17315  author	= {Jeremy G. Siek},
17316  editor	= {Jeremy Gibbons},
17317  booktitle	= {Generic and Indexed Programming: International Spring School, SSGIP 2010, Oxford,
17318		  UK, March 22-26, 2010, Revised Lectures},
17319  pages		= {175--216},
17320  isbn		= {978-3-642-32202-0},
17321  doi		= {10.1007/978-3-642-32202-0_4},
17322  url		= {http://arxiv.org/abs/1201.0027},
17323  note		= {\url{http://arxiv.org/abs/1201.0027}},
17324  publisher	= {Springer Berlin Heidelberg},
17325  year		= {2012}
17326}
17327
17328@Misc{		  sharpclaw,
17329  note		= {\url{http://numerics.kaust.edu.sa/sharpclaw}},
17330  author	= {Ketcheson, D. I. and Parsani, M.},
17331  keywords	= {clawpack,finite volumes,godunov type methods,high order methods,hyperbolic
17332		  PDEs,sharpclaw,software},
17333  mendeley-tags	= {clawpack,finite volumes,godunov type methods,high order methods,hyperbolic
17334		  PDEs,sharpclaw,software},
17335  title		= {{SharpClaw software}},
17336  year		= {2011}
17337}
17338
17339@Book{		  leveque2002,
17340  title		= {Finite volume methods for hyperbolic problems},
17341  author	= {Randall J LeVeque},
17342  volume	= {31},
17343  year		= {2002}
17344}
17345
17346@Misc{		  clawpack45,
17347  note		= {\url{http://www.clawpack.org}},
17348  author	= {LeVeque, R. J. and Berger, M. J.},
17349  keywords	= {clawpack,finite volumes,hyperbolic PDEs,software},
17350  mendeley-tags	= {clawpack,finite volumes,hyperbolic PDEs,software},
17351  title		= {{Clawpack Software version 4.5}},
17352  url		= {www.clawpack.org},
17353  year		= {2011}
17354}
17355
17356@Article{	  nilsen2010,
17357  archiveprefix	= {arXiv},
17358  arxivid	= {arXiv:1002.0705v1},
17359  author	= {Nilsen, J.K. and Cai, X. and H{\o}yland, Bj{\o} rn and Langtangen, H. P.},
17360  eprint	= {arXiv:1002.0705v1},
17361  file		= {:Users/ketch/Documents/Mendeley Desktop/Nilsen et al/2010 - Simplifying the
17362		  parallelization of scientific codes by a function-centric approach in
17363		  Python.pdf:pdf},
17364  journal	= {Computational Science \& Discovery},
17365  keywords	= {parallel,programming,python,software},
17366  mendeley-tags	= {parallel,programming,python,software},
17367  pages		= {015003},
17368  publisher	= {IOP Publishing},
17369  title		= {{Simplifying the parallelization of scientific codes by a function-centric
17370		  approach in Python}},
17371  url		= {http://iopscience.iop.org/1749-4699/3/1/015003},
17372  volume	= {3},
17373  year		= {2010}
17374}
17375
17376@Book{		  langtangen09,
17377  author	= {Hans Petter Langtangen},
17378  title		= {Python Scripting for Computational Science},
17379  publisher	= {Springer},
17380  series	= {Texts in Computational Science and Engineering},
17381  pages		= {784},
17382  isbn		= {3540739157},
17383  year		= {2009}
17384}
17385
17386@Book{		  numpyguide,
17387  author	= {Travis E. Oliphant},
17388  title		= {Guide to Numpy},
17389  publisher	= {Trelgol},
17390  year		= {2008}
17391}
17392
17393@Misc{		  pycuda,
17394  author	= {Andreas Kl\"ockner},
17395  title		= {{PyCUDA}},
17396  howpublished	= {\url{http://mathema.tician.de/software/pycuda}},
17397  year		= {2011}
17398}
17399
17400@Misc{		  pyopencl,
17401  author	= {Andreas Kl\"ockner},
17402  title		= {{PyOpenCL}},
17403  howpublished	= {\url{http://mathema.tician.de/software/pyopencl}},
17404  year		= {2011}
17405}
17406
17407@Article{	  klockner2012,
17408  author	= {Andreas Kl\"{o}ckner and Nicolas Pinto and Yunsup Lee and Bryan Catanzaro and
17409		  Paul Ivanov and Ahmed Fasih},
17410  title		= {{PyCUDA} and {PyOpenCL}: A scripting-based approach to {GPU} run-time code
17411		  generation},
17412  journal	= {Parallel Computing},
17413  volume	= {38},
17414  number	= {3},
17415  pages		= {157--174},
17416  year		= {2012},
17417  issn		= {0167-8191},
17418  doi		= {10.1016/j.parco.2011.09.001}
17419}
17420
17421%%%%%% Matt Stuff %%%%%%
17422@Article{	  morrabozdagknepleyrassvesselinov,
17423  title		= {A Tectonic Shift in Analytics and Computing Is Coming},
17424  author	= {Gabriele Morra and Ebru Bozdag and Matthew G. Knepley and Ludovic R\"ass and
17425		  Velimir Vesselinov},
17426  journal	= {Eos},
17427  volume	= {102},
17428  doi		= {10.1029/2021EO159258},
17429  month		= {June},
17430  year		= {2021}
17431}
17432
17433@Misc{		  knepley:icerm-workshop:2012,
17434  author	= {David Keyes and Matthew Knepley and Katherine Yelick},
17435  title		= {Synchronization-reducing and Communication-reducing Algorithms and Programming
17436		  Models for Large-scale Simulations},
17437  note		= {Workshop sponsored by the Institute for Computational and Experimental Research
17438		  in Mathematics (ICERM), Jan. 9-13, 2012, Providence, RI,
17439		  \url{http://icerm.brown.edu/tw12-1-exascale}},
17440  year		= {2012}
17441}
17442
17443@TechReport{	  kirbyknepleyscott04,
17444  author	= {Robert C. Kirby and Matthew G. Knepley and L. Ridgway Scott},
17445  title		= {Optimal Evaluation of Finite Element Matrices},
17446  type		= {Technical Report},
17447  number	= {TR-2004-04},
17448  institution	= {University of Chicago},
17449  url		= {http://www.cs.uchicago.edu/research/publications/techreports/TR-2004-04},
17450  note		= {\url{http://www.cs.uchicago.edu/research/publications/techreports/TR-2004-04}},
17451  pages		= {14},
17452  month		= {May},
17453  year		= {2004}
17454}
17455
17456@TechReport{	  kirbyknepleyscott10,
17457  author	= {Robert C. Kirby and Matthew G. Knepley and L. Ridgway Scott},
17458  title		= {Languages and Compilers for Variational Forms},
17459  type		= {Technical Report},
17460  number	= {TR-2010-09},
17461  institution	= {University of Chicago},
17462  url		= {http://www.cs.uchicago.edu/research/publications/techreports/TR-2010-09},
17463  note		= {\url{http://www.cs.uchicago.edu/research/publications/techreports/TR-2010-09}},
17464  month		= {October},
17465  year		= {2010}
17466}
17467
17468@TechReport{	  kirbyknepleyscott10b,
17469  author	= {Robert C. Kirby and Matthew G. Knepley and L. Ridgway Scott},
17470  title		= {Evaluation of the Action of Finite Element Operators},
17471  type		= {Technical Report},
17472  number	= {TR-2010-08},
17473  institution	= {University of Chicago},
17474  url		= {http://www.cs.uchicago.edu/research/publications/techreports/TR-2010-08},
17475  note		= {\url{http://www.cs.uchicago.edu/research/publications/techreports/TR-2010-08}},
17476  month		= {October},
17477  year		= {2010}
17478}
17479
17480@TechReport{	  bruneknepleyscott11,
17481  author	= {Peter R. Brune and Matthew G. Knepley and L. Ridgway Scott},
17482  title		= {Exponential grids in high-dimensional space},
17483  type		= {Technical Report},
17484  number	= {TR-2011-07},
17485  institution	= {University of Chicago},
17486  url		= {http://www.cs.uchicago.edu/research/publications/techreports/TR-2011-07},
17487  note		= {\url{http://www.cs.uchicago.edu/research/publications/techreports/TR-2011-07}},
17488  month		= {December},
17489  year		= {2011}
17490}
17491
17492@TechReport{	  zheng11,
17493  author	= {Liang Zheng and Taras Gerya and Matthew G. Knepley and David A. Yuen and Huai
17494		  Zhang and Yaolin Shi},
17495  title		= {Implementation of a multigrid solver on {GPU} for {Stokes} equations with
17496		  strongly variable viscosity based on {Matlab} and {CUDA}},
17497  type		= {Research Report},
17498  number	= {UMSI 2011/33},
17499  institution	= {University of Minnesota Supercomputing Institute},
17500  url		= {http://static.msi.umn.edu/rreports/2011/33.pdf},
17501  note		= {\url{http://static.msi.umn.edu/rreports/2011/33.pdf}},
17502  month		= {March},
17503  year		= {2011}
17504}
17505
17506@InProceedings{	  zheng2010,
17507  author	= {Liang Zheng and Taras Gerya and David A. Yuen and Matthew G. Knepley and Huai
17508		  Zhang and Yaolin Shi},
17509  title		= {{GPU} Implementation of {Stokes} Equation with Strongly Variable Coefficients},
17510  booktitle	= {Eos Transactions of the AGU},
17511  organization	= {American Geophysical Union},
17512  note		= {Fall Meeting Supplemental, Abstract IN41A-1350},
17513  year		= {2010}
17514}
17515
17516@InCollection{	  terrelkirbyknepleyscott12,
17517  author	= {Andy R. Terrel and Robert C. Kirby and Matthew G. Knepley and L. Ridgway Scott
17518		  and Garth N. Wells},
17519  title		= {Finite elements for incompressible fluids},
17520  editors	= {A. Logg and K.A. Mardal and G. N. Wells},
17521  booktitle	= {Automated solutions of differential equations by the finite element method},
17522  series	= {Lecture Notes in Computational Science and Engineering},
17523  volume	= {84},
17524  pages		= {163--169},
17525  publisher	= {Springer-Verlag},
17526  year		= {2012}
17527}
17528
17529@InCollection{	  kirbyknepleyloggscottterrel12,
17530  author	= {Robert C. Kirby and Matthew G. Knepley and Anders Logg and L. Ridgway Scott and
17531		  Andy R. Terrel},
17532  title		= {Discrete optimization of finite element matrix evaluation},
17533  editors	= {A. Logg and K.A. Mardal and G. N. Wells},
17534  booktitle	= {Automated solutions of differential equations by the finite element method},
17535  series	= {Lecture Notes in Computational Science and Engineering},
17536  volume	= {84},
17537  pages		= {385--397},
17538  publisher	= {Springer-Verlag},
17539  year		= {2012}
17540}
17541
17542@InCollection{	  kirby12,
17543  author	= {Robert C. Kirby},
17544  title		= {{FIAT}: Numerical Construction of Finite Element Basis Functions},
17545  editors	= {A. Logg and K.A. Mardal and G. N. Wells},
17546  booktitle	= {Automated solutions of differential equations by the finite element method},
17547  series	= {Lecture Notes in Computational Science and Engineering},
17548  volume	= {84},
17549  publisher	= {Springer-Verlag},
17550  year		= {2012}
17551}
17552
17553@Article{	  brownconveryhotesknepleypetropolous1993,
17554  author	= {Robert W. Brown and Mary Convery and Scott Hotes and Matthew G. Knepley and
17555		  Labros Petropolous},
17556  title		= {Closed strings with low harmonics and kinks},
17557  journal	= {Physical Review D},
17558  volume	= {48},
17559  number	= {6},
17560  year		= {1993}
17561}
17562
17563@Article{	  minimax1996,
17564  title		= {MiniMax: What has been learned thus far},
17565  author	= {Mary E. Convery and W.~L. Davis and Ken W. Del Signore and Tom L. Jenkins and
17566		  Erik Kangas and Matthew G. Knepley and Ken L. Kowalski and Cyrus C. Taylor and
17567		  C.~H. Wang and S.~H. Oh and W.~D. Walker and P.~L. Colestock and B. Hanna and M.
17568		  Martens and J. Streets and R.~C. Ball and H.~R. Gustafson and L.~W. Jones and
17569		  M.~J. Longo and J.~D. Bjorken and N. Morgan and C.~A. Pruneau},
17570  journal	= {Nuovo Cimento},
17571  volume	= {19},
17572  number	= {1},
17573  pages		= {1045--1049},
17574  year		= {1996}
17575}
17576
17577@Article{	  minimax1997,
17578  author	= {Minimax Collaboration},
17579  title		= {Analysis of Charged Particle/Photon Correlations in Hadronic Multiparticle
17580		  Production},
17581  journal	= {Physical Review D},
17582  volume	= {55},
17583  number	= {9},
17584  year		= {1997}
17585}
17586
17587@Article{	  minimax2000,
17588  author	= {Minimax Collaboration},
17589  title		= {Search for disoriented chiral condensate at the {Fermilab} {Tevatron}},
17590  journal	= {Physical Review D},
17591  volume	= {61},
17592  number	= {3},
17593  year		= {2000}
17594}
17595
17596@Article{	  kirbyknepleyloggscott05,
17597  author	= {Robert C. Kirby and Matthew G. Knepley and Anders Logg and L. Ridgway Scott},
17598  title		= {Optimizing the evaluation of finite element matrices},
17599  journal	= {SIAM Journal on Scientific Computing},
17600  volume	= {27},
17601  number	= {3},
17602  pages		= {741--758},
17603  year		= {2005}
17604}
17605
17606@Article{	  bardhanknepleyanitescu2008,
17607  author	= {Jaydeep P. Bardhan and Matthew G. Knepley and Mihai Anitescu},
17608  title		= {Bounding the Electrostatic Free Energies Associated with Linear Continuum Models
17609		  of Molecular Solvation},
17610  journal	= {Journal of Chemical Physics},
17611  volume	= {130},
17612  number	= {10},
17613  pages		= {104108},
17614  note		= {Selected for the March 15, 2009 issue of Virtual Journal of Biological Physics
17615		  Research},
17616  doi		= {10.1063/1.3081148},
17617  year		= {2008}
17618}
17619
17620%Poster at Biophysical Society Fall Meeting
17621@Article{	  bardhanknepley2017,
17622  author	= {Jaydeep P. Bardhan and Matthew G. Knepley},
17623  title		= {Accurate Atom-by-Atom Predictions of Solvation Electrostatics Using a
17624		  Hydration-Shell {Poisson}-{Boltzmann} Model},
17625  journal	= {Biophysical Journal},
17626  volume	= {110},
17627  number	= {3},
17628  note		= {Fall Meeting Supplemental, Abstract DI14A-08},
17629  doi		= {10.1016/j.bpj.2015.11.1766},
17630  year		= {2017}
17631}
17632
17633@Article{	  tabrizirahimigoossensknepleybardhan2018,
17634  title		= {Solvation Thermodynamics of Neutral and Charged Solutes Using the Solvation-Layer
17635		  Interface Condition (SLIC) Continuum Dielectric Model},
17636  author	= {Amirhossein Molavi Tabrizi and Ali Mehdizadeh Rahimi and Spencer Goossens and
17637		  Matthew G. Knepley and Jaydeep P. Bardhan},
17638  journal	= {International Journal of Quantum Chemistry},
17639  note		= {Accepted},
17640  year		= {2018}
17641}
17642
17643@Article{	  knepley2010,
17644  author	= {Stodden, V. and Knepley, M. G. and Wiggins, C. and LeVeque, R. J. and Donoho, D.
17645		  and Fomel, S. and Friedlander, M. P. and Gerstein, M. and Mitchell, I. and
17646		  Ouellette, L. L. and Bramble, N. W. and Brown, P. O. and Carey, V. and DeNardis,
17647		  L. and Gentleman, R. and {Gezelter, J}, D. and Goodman, A. and Moore, J. E. and
17648		  Pasquale, F. A. and Rolnick, J. and Seringhaus, M. and Subramanian, R.},
17649  title		= {{Reproducible Research: addressing the need for data and code sharing in
17650		  computational science}},
17651  journal	= {Computing in Science and Engineering},
17652  volume	= {12},
17653  number	= {5},
17654  pages		= {8--13},
17655  url		= {http://www.bepress.com/cgi/viewcontent.cgi?article=1034\&amp;amp;context=sagmb},
17656  year		= {2010}
17657}
17658
17659@Article{	  ketchesonahmadiaknepley2011,
17660  title		= {Conference Review: High Performance Computing and Hybrid Programming Concepts for
17661		  Hyperbolic PDE Codes},
17662  author	= {David I. Ketcheson and Aron Ahmadia and Matthew G. Knepley},
17663  journal	= {SIAM News},
17664  volume	= {44},
17665  number	= {7},
17666  month		= {September},
17667  note		= {\url{http://www.siam.org/pdf/news/1912.pdf}},
17668  year		= {2011}
17669}
17670
17671@Article{	  yokotabardhanknepleybarbahamada2011,
17672  author	= {Rio Yokota and Jaydeep P. Bardhan and Matthew G. Knepley and L.A. Barba and
17673		  Tsuyoshi Hamada},
17674  title		= {Biomolecular electrostatics using a fast multipole {BEM} on up to 512 {GPU}s and
17675		  a billion unknowns},
17676  journal	= {Computer Physics Communications},
17677  volume	= {182},
17678  number	= {6},
17679  pages		= {1272--1283},
17680  year		= {2011},
17681  issn		= {0010-4655},
17682  doi		= {10.1016/j.cpc.2011.02.013},
17683  url		= {http://arxiv.org/abs/1007.4591}
17684}
17685
17686@Article{	  bardhanknepley2011,
17687  author	= {Jaydeep P. Bardhan and Matthew G. Knepley},
17688  title		= {Mathematical Analysis of the {BIBEE} Approximation for Molecular Solvation: Exact
17689		  Results for Spherical Inclusions},
17690  journal	= {Journal of Chemical Physics},
17691  volume	= {135},
17692  number	= {12},
17693  pages		= {124107--124117},
17694  url		= {http://arxiv.org/abs/1109.0651},
17695  note		= {\url{http://arxiv.org/abs/1109.0651}},
17696  year		= {2011}
17697}
17698
17699@Article{	  bruneknepleyscott2013,
17700  author	= {Peter R. Brune and Matthew G. Knepley and L. Ridgway Scott},
17701  title		= {Unstructured Geometric Multigrid in Two and Three Dimensions on Complex and
17702		  Graded Meshes},
17703  journal	= {SIAM Journal on Scientific Computing},
17704  url		= {http://arxiv.org/abs/1104.0261},
17705  note		= {\url{http://arxiv.org/abs/1104.0261}},
17706  volume	= {35},
17707  number	= {1},
17708  pages		= {A173--A191},
17709  year		= {2013}
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17716  journal	= {Computational Science \& Discovery},
17717  volume	= {5},
17718  pages		= {014006},
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17727  title		= {Analysis of fast boundary-integral approximations for modeling electrostatic
17728		  contributions of molecular binding},
17729  journal	= {Molecular Based Mathematical Biology},
17730  volume	= {1},
17731  pages		= {124--150},
17732  doi		= {10.2478/mlbmb-2013-0007},
17733  issn		= {2299-3266},
17734  month		= {June},
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17736  year		= {2013}
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17740  author	= {Jaydeep P. Bardhan and Matthew G. Knepley and Peter R. Brune},
17741  title		= {Analytical Nonlocal Electrostatics Using Eigenfunction Expansions of
17742		  Boundary-Integral Operators},
17743  journal	= {Molecular Based Mathematical Biology},
17744  volume	= {3},
17745  number	= {1},
17746  pages		= {1--22},
17747  doi		= {10.1515/mlbmb-2015-0001},
17748  year		= {2015}
17749}
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17754		  Conditions},
17755  journal	= {Journal of Chemical Physics},
17756  volume	= {141},
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17765		  Electrostatics},
17766  author	= {Jaydeep P. Bardhan and D. A. Tejani and N. S. Wieckowski and A. Ramaswamy and
17767		  Matthew G. Knepley},
17768  booktitle	= {Proceedings of PIERS},
17769  pages		= {1215--1221},
17770  month		= {July},
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17772  year		= {2015}
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17779  journal	= {Molecular Physics},
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17792		  Matthew G. Knepley and Jaydeep P. Bardhan},
17793  journal	= {Journal of Chemical Physics},
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17795  number	= {9},
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17798  eprint	= {https://arxiv.org/abs/1611.02150},
17799  doi		= {10.1063/1.4977037},
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17808		  Matthew G. Knepley and Jaydeep P. Bardhan},
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17826  number	= {04.2012.1},
17827  type		= {Tech. report},
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17849  journal	= {Parallel Computing},
17850  volume	= {40},
17851  number	= {7},
17852  pages		= {224--238},
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17855  year		= {2014}
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17860  title		= {Pipelined Mixed Precision Algorithms on {FPGA}s for Fast and Accurate PDE Solvers
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17862  booktitle	= {Proceedings of the 14th Annual IEEE Symposium on Field-Programmable Custom
17863		  Computing Machines},
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17865  pages		= {259--270},
17866  year		= {2006},
17867  organization	= {IEEE Computer Society}
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17874  booktitle	= {High-Performance Computing and Networking},
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17885		  for MPI}},
17886  booktitle	= {Proceedings of the 2007 International Conference on High Performance Computing,
17887		  Networking, Storage and Analysis, SC07},
17888  location	= {Reno, NV},
17889  publisher	= {IEEE Computer Society/ACM},
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17899		  Parallel Programming (PPoPP'10)},
17900  month		= {Jan.},
17901  location	= {Bangalore, India},
17902  publisher	= {ACM},
17903  isbn		= {978-1-60558-708-0},
17904  source	= {http://www.unixer.de/~htor/publications/},
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17944  author	= {A. T. Chronopoulos and C. D. Swanson},
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18044  title		= {A space-time multigrid method for parabolic {PDE}s},
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18251  title		= {Multigrid solvers and multilevel optimization strategies},
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18629  author	= {B. Lee and G.E. Hammond},
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18631		  Equation},
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18633  note		= {manuscript, 2010}
18634}
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18642  pages		= {125--153},
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18648  author	= {Judith A. Vogel},
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18720  title		= {{Conjugate Gradient} methods for indefinite systems},
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18729  title		= {{Bi-CGSTAB} as an induced dimension reduction method},
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18731  journal	= {Applied Numerical Mathematics},
18732  volume	= {60},
18733  pages		= {1100--1114},
18734  year		= {2010}
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18738  title		= {Exploiting {BiCGstab($\ell$)} strategies to induce dimension reduction},
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18740  journal	= {SIAM J. Sci. Comput.},
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18758  title		= {Flexible and Multi-Shift Induced Dimension Reduction Algorithms for solving Large
18759		  Sparse Linear Systems},
18760  author	= {Martin B. van Gijzen and Gerard L.G. Sleijpen and Jens-Peter M. Zemke},
18761  institution	= {Delft University of Technology},
18762  number	= {11-06},
18763  year		= {2011}
18764}
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18810  publisher	= {Society for Industrial and Applied Mathematics},
18811  address	= {Philadelphia, PA},
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18814		  method, tree-codes}
18815}
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18843  number	= {1-2},
18844  pages		= {93--124},
18845  year		= {1996}
18846}
18847
18848@Article{	  pawlowski2006globalization,
18849  title		= {Globalization techniques for {N}ewton-{K}rylov methods and applications to the
18850		  fully coupled solution of the {N}avier-{S}tokes equations},
18851  author	= {Pawlowski, Roger P and Shadid, John N and Simonis, Joseph P and Walker, Homer F},
18852  journal	= {SIAM Review},
18853  volume	= {48},
18854  number	= {4},
18855  pages		= {700--721},
18856  year		= {2006},
18857  publisher	= {SIAM}
18858}
18859
18860@Article{	  roppshadid2009,
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18862		  Advection--diffusion--reaction systems},
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18864  journal	= {Journal of Computational Physics},
18865  volume	= {228},
18866  number	= {9},
18867  pages		= {3508--3516},
18868  year		= {2009}
18869}
18870
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18873  author	= {Brown, P.N. and Hindmarsh, A.C. and Walker, H.F.},
18874  journal	= {SIAM Journal on Scientific and Statistical Computing},
18875  volume	= {6},
18876  number	= {2},
18877  pages		= {297--313},
18878  year		= {1985},
18879  publisher	= {SIAM}
18880}
18881
18882@Article{	  bicgsl_1993,
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18884  title		= {{BiCGSTAB(l)} for Linear Equations involving Unsymmetric Matrices with Complex
18885		  Spectrum},
18886  journal	= {Electronic Transactions on Numerical Analysis},
18887  volume	= {1},
18888  year		= {1993},
18889  pages		= {11--32}
18890}
18891
18892@Book{		  brandt2011revised,
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18894		  Edition},
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18896  year		= {2011},
18897  publisher	= {SIAM}
18898}
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18902  author	= {Axelsson, O. and Vassilevski, P.S.},
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18907  year		= {1990},
18908  publisher	= {SIAM}
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18910
18911@Article{	  zulehner2002analysis,
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18913  author	= {Zulehner, W.},
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18915  volume	= {71},
18916  number	= {238},
18917  pages		= {479--506},
18918  year		= {2002}
18919}
18920
18921@Article{	  pralet2010,
18922  author	= {L. Giraud and A. Haidar and S. Pralet},
18923  title		= {Using multiple levels of parallelism to enhance the performance of domain
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18925  journal	= {Parallel Computing},
18926  volume	= {36},
18927  number	= {5-6},
18928  pages		= {285--296},
18929  year		= {2010}
18930}
18931
18932@Book{		  brennerscottfem,
18933  title		= {The Mathematical Theory of Finite Element Methods},
18934  author	= {Susanne C. Brenner and L. Ridgway Scott},
18935  edition	= {3rd Edition},
18936  series	= {Texts in Applied Mathematics},
18937  year		= {2008},
18938  publisher	= {Springer-Verlag}
18939}
18940
18941@Book{		  ortega1987iterative,
18942  title		= {Iterative solution of nonlinear equations in several variables},
18943  author	= {Ortega, James M and Rheinboldt, Werner C},
18944  volume	= {30},
18945  publisher	= {Society for Industrial and Applied Mathematics},
18946  year		= {1987}
18947}
18948
18949@InBook{	  rheinboldtch6,
18950  author	= {Werner C. Rheinboldt},
18951  title		= {6. Combinations of Processes},
18952  booktitle	= {Methods for Solving Systems of Nonlinear Equations},
18953  chapter	= {6},
18954  pages		= {59--74},
18955  doi		= {10.1137/1.9781611970012.ch6},
18956  year		= {1998}
18957}
18958
18959@Article{	  allgowerbohmerpotrarheinboldt86,
18960  author	= {E. Allgower and K. B\"ohmer and F. Potra and W.~C. Rheinboldt},
18961  title		= {A Mesh-Independence Principle for Operator Equations and Their Discretizations},
18962  journal	= {SIAM Journal on Numerical Analysis},
18963  volume	= {23},
18964  number	= {1},
18965  pages		= {160-169},
18966  year		= {1986},
18967  doi		= {10.1137/0723011}
18968}
18969
18970@Article{	  rheinboldt76,
18971  author	= {Werner C. Rheinboldt},
18972  title		= {On measures of ill-conditioning for nonlinear equations},
18973  journal	= {Mathematics of Computation},
18974  volume	= {30},
18975  number	= {133},
18976  pages		= {104--111},
18977  year		= {1976}
18978}
18979
18980@Article{	  little61,
18981  author	= {John D. C. Little},
18982  title		= {A Proof for the Queuing Formula: {$L = \lambda W$}},
18983  journal	= {Operations Research},
18984  volume	= {9},
18985  number	= {3},
18986  pages		= {383--387},
18987  note		= {\url{http://www.jstor.org/stable/167570}},
18988  year		= {1961}
18989}
18990
18991@Misc{		  top500,
18992  author	= {{TOP500 Supercomputer Sites}},
18993  url		= {http://www.top500.org},
18994  year		= {2013}
18995}
18996
18997@Misc{		  hassediagram,
18998  author	= {Wikipedia},
18999  title		= {Hasse Diagram},
19000  url		= {http://en.wikipedia.org/wiki/Hasse_diagram},
19001  note		= {\url{http://en.wikipedia.org/wiki/Hasse_diagram}},
19002  year		= {2015}
19003}
19004
19005@Misc{		  groupoid,
19006  author	= {Wikipedia},
19007  title		= {Groupoid},
19008  url		= {https://en.wikipedia.org/wiki/Groupoid},
19009  note		= {\url{http://en.wikipedia.org/wiki/Groupoid}},
19010  year		= {2015}
19011}
19012
19013@Misc{		  cwcomplex,
19014  author	= {Wikipedia},
19015  title		= {{CW} complex},
19016  url		= {http://en.wikipedia.org/wiki/CW_complex},
19017  note		= {\url{http://en.wikipedia.org/wiki/CW_complex}},
19018  year		= {2015}
19019}
19020
19021@Misc{		  linearalgebra,
19022  author	= {Wikipedia},
19023  title		= {Linear Algebra},
19024  url		= {https://en.wikipedia.org/wiki/Linear_algebra},
19025  note		= {\url{https://en.wikipedia.org/wiki/Linear_algebra}},
19026  year		= {2015}
19027}
19028
19029@Misc{		  amdahlslaw,
19030  author	= {Wikipedia},
19031  title		= {Amdahl's Law},
19032  url		= {https://en.wikipedia.org/wiki/Amdahl's_law},
19033  note		= {\url{https://en.wikipedia.org/wiki/Amdahl's_law}},
19034  year		= {2015}
19035}
19036
19037@Misc{		  gustafsonslaw,
19038  author	= {Wikipedia},
19039  title		= {Gustafson's Law},
19040  url		= {https://en.wikipedia.org/wiki/Gustafson's_law},
19041  note		= {\url{https://en.wikipedia.org/wiki/Gustafson's_law}},
19042  year		= {2015}
19043}
19044
19045@InProceedings{	  amdahl1967,
19046  title		= {Validity of the Single Processor Approach to Achieving Large Scale Computing
19047		  Capabilities},
19048  author	= {Gene M. Amdahl},
19049  booktitle	= {Proceedings of the April 18-20, 1967, Spring Joint Computer Conference},
19050  series	= {AFIPS '67 (Spring)},
19051  location	= {Atlantic City, New Jersey},
19052  pages		= {483--485},
19053  numpages	= {3},
19054  doi		= {10.1145/1465482.1465560},
19055  acmid		= {1465560},
19056  publisher	= {ACM},
19057  address	= {New York, NY, USA},
19058  year		= {1967}
19059}
19060
19061@Article{	  gustafson1988,
19062  title		= {Reevaluating {Amdahl}'s Law},
19063  author	= {Gustafson, John L.},
19064  journal	= {Communications of the ACM},
19065  volume	= {31},
19066  number	= {5},
19067  month		= {May},
19068  issn		= {0001-0782},
19069  pages		= {532--533},
19070  doi		= {10.1145/42411.42415},
19071  acmid		= {42415},
19072  year		= {1988}
19073}
19074
19075@Book{		  eijkhout2014,
19076  title		= {Introduction to High Performance Scientific Computing},
19077  author	= {Victor Eijkhout},
19078  url		= {http://pages.tacc.utexas.edu/~eijkhout/Articles/EijkhoutIntroToHPC.pdf},
19079  publisher	= {TACC},
19080  year		= {2014}
19081}
19082
19083@Article{	  korelc2002multilanguage,
19084  title		= {Multi-language and multi-environment generation of nonlinear finite element
19085		  codes},
19086  author	= {Korelc, J.},
19087  journal	= {Engineering with Computers},
19088  volume	= {18},
19089  number	= {4},
19090  pages		= {312--327},
19091  year		= {2002},
19092  publisher	= {Springer}
19093}
19094
19095@TechReport{	  taylor2011feap,
19096  title		= {{FEAP}: A Finite Element Analysis Program},
19097  subtitle	= {Version 8.3 User Manual},
19098  author	= {R. L. Taylor},
19099  year		= {2011},
19100  institution	= {University of California, Berkeley}
19101}
19102
19103@Article{	  bergeraftosmismurman2005,
19104  title		= {Analysis of slope limiters on irregular grids},
19105  author	= {Berger, Marsha and Aftosmis, Michael J and Murman, Scott M},
19106  journal	= {AIAA paper},
19107  volume	= {490},
19108  pages		= {2005},
19109  year		= {2005}
19110}
19111
19112@InProceedings{	  ferreirabridgesbrightwell08,
19113  author	= {Kurt B. Ferreira and Patrick Bridges and Ron Brightwell},
19114  title		= {Characterizing Application Sensitivity to OS Interference Using Kernel-level
19115		  Noise Injection},
19116  booktitle	= {Proceedings of the 2008 ACM/IEEE Conference on Supercomputing},
19117  series	= {SC '08},
19118  year		= {2008},
19119  isbn		= {978-1-4244-2835-9},
19120  location	= {Austin, Texas},
19121  pages		= {19:1--19:12},
19122  articleno	= {19},
19123  numpages	= {12},
19124  url		= {http://dl.acm.org/citation.cfm?id=1413370.1413390},
19125  acmid		= {1413390},
19126  publisher	= {IEEE Press},
19127  address	= {Piscataway, NJ}
19128}
19129
19130@Article{	  banach22,
19131  author	= {Stefan Banach},
19132  title		= {Sur les op\'erations dans les ensembles abstraits et leur application aux
19133		  \'equations int\'egrales},
19134  journal	= {Fund. Math.},
19135  volume	= {3},
19136  pages		= {133--181},
19137  year		= {1922}
19138}
19139
19140@Article{	  bangerthbursteddeheisterkronbichler2012,
19141  author	= {Wolfgang Bangerth and Carsten Burstedde and Timo Heister and Martin Kronbichler},
19142  title		= {Algorithms and Data Structures for Massively Parallel Generic Adaptive Finite
19143		  Element Codes},
19144  journal	= {ACM Trans. Math. Softw.},
19145  issue_date	= {December 2011},
19146  volume	= {38},
19147  number	= {2},
19148  month		= jan,
19149  year		= {2012},
19150  issn		= {0098-3500},
19151  pages		= {14:1--14:28},
19152  articleno	= {14},
19153  numpages	= {28},
19154  doi		= {10.1145/2049673.2049678},
19155  acmid		= {2049678},
19156  publisher	= {ACM},
19157  address	= {New York, NY, USA},
19158  keywords	= {Adaptive mesh refinement, object-orientation, parallel algorithms, software
19159		  design}
19160}
19161
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19163  author	= {Stanley Eisenstat and Homer Walker},
19164  title		= {Globally Convergent Inexact {N}ewton Methods},
19165  journal	= {SIAM Journal on Optimization},
19166  volume	= {4},
19167  number	= {2},
19168  pages		= {393--422},
19169  year		= {1994},
19170  doi		= {10.1137/0804022}
19171}
19172
19173@Book{		  blumcuckershubsmale98,
19174  title		= {Complexity and Real Computation},
19175  author	= {Lenore Blum and Felipe Cucker and Michael Shub and Steve Smale},
19176  year		= {1998},
19177  publisher	= {Springer}
19178}
19179
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19182  title		= {Inexact {N}ewton Methods with Restricted Additive {S}chwarz Based Nonlinear
19183		  Elimination for Problems with High Local Nonlinearity},
19184  journal	= {SIAM Journal on Scientific Computing},
19185  volume	= {33},
19186  number	= {2},
19187  pages		= {746-762},
19188  year		= {2011},
19189  doi		= {10.1137/080736272}
19190}
19191
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19193  author	= {X.-C. Cai},
19194  title		= { Nonlinear overlapping domain decomposition methods},
19195  journal	= {Lecture Notes in Computational Science},
19196  volume	= {70},
19197  pages		= {217-224},
19198  year		= {2009}
19199}
19200
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19202  title		= {An analysis of approximate nonlinear elimination},
19203  author	= {Lanzkron, Paul J and Rose, Donald J and Wilkes, James T},
19204  journal	= {SIAM Journal on Scientific Computing},
19205  volume	= {17},
19206  number	= {2},
19207  pages		= {538--559},
19208  year		= {1996},
19209  publisher	= {SIAM}
19210}
19211
19212@TechReport{	  gropp1993sowing,
19213  title		= {Users manual for bfort: Producing {F}ortran interfaces to {C} source code},
19214  author	= {Gropp, W},
19215  year		= {1995},
19216  number	= {ANL/MCS-TM-208},
19217  institution	= {Argonne National Laboratory}
19218}
19219
19220@TechReport{	  gropp1993sowing2,
19221  title		= {Users Manual for doctext: Producing Documentation from Source Code},
19222  author	= {Gropp, W},
19223  year		= {1995},
19224  number	= {ANL/MCS-TM-206},
19225  institution	= {Argonne National Laboratory}
19226}
19227
19228@TechReport{	  gropp1993simplified,
19229  title		= {Simplified Linear Equation Solvers users manual},
19230  author	= {Gropp, W and Smith, B},
19231  year		= {1993},
19232  number	= {ANL--93/8},
19233  institution	= {Argonne National Laboratory}
19234}
19235
19236@Misc{		  simplifiedbsd,
19237  author	= {{University of California, Berkeley}},
19238  title		= {Simplified {Berkeley} Software Distribution License},
19239  note		= {see
19240		  \url{http://en.wikipedia.org/wiki/BSD_licenses#2-clause_license_.28.22Simplified_BSD_License.22_or_.22FreeBSD_License.22.29}}
19241}
19242
19243@Book{		  chaconstraub14,
19244  author	= {Scott Chacon and Ben Straub},
19245  title		= {Pro Git},
19246  publisher	= {Apress},
19247  year		= {2014},
19248  pages		= {456},
19249  note		= {Available online at \url{http://git-scm.com/book/}}
19250}
19251
19252@Misc{		  bitbucket,
19253  author	= {Atlassian},
19254  title		= {Bitbucket},
19255  note		= {Platform available from \url{http://bitbucket.org}}
19256}
19257
19258@Misc{		  gitworkflows,
19259  author	= {GitWorkflows},
19260  note		= {Available at
19261		  \url{https://www.kernel.org/pub/software/scm/git/docs/gitworkflows.html}}
19262}
19263
19264@Misc{		  figshare,
19265  author	= {FigShare},
19266  note		= {Available at \url{http://palgrave.figshare.com/}}
19267}
19268
19269@InProceedings{	  beazley1996swig,
19270  title		= {{SWIG}: An easy to use tool for integrating scripting languages with {C} and
19271		  {C++}},
19272  author	= {Beazley, David M},
19273  booktitle	= {Proceedings of the 4th USENIX Tcl/Tk workshop},
19274  pages		= {129--139},
19275  year		= {1996}
19276}
19277
19278@Misc{		  softwareproductivityworkshopreport14,
19279  author	= {H. Johansen and L. C. McInnes and D. Bernholdt and J. Carver and M. Heroux and R.
19280		  Hornung and P. Jones and B. Lucas and A. Siegel and T. Ndousse-Fetter},
19281  title		= {Software Productivity for Extreme-Scale Science},
19282  note		= {Report on DOE Workshop, January 13-14, 2014},
19283  url		= {http://www.orau.gov/swproductivity2014/SoftwareProductivityWorkshopReport2014.pdf},
19284  year		= {2014}
19285}
19286
19287@Misc{		  softwareproductivitywhitepaper13,
19288  author	= {H. Johansen and D. Bernholdt and B. Collins and M. Heroux and R. Jacob and P.
19289		  Jones and L. C. McInnes and J. D. Moulton and T. Ndousse-Fetter and D. Post and W.
19290		  Tang},
19291  title		= {Extreme-Scale Scientific Application Software Productivity: Harnessing the Full
19292		  Capability of Extreme-Scale Computing},
19293  note		= {whitepaper submitted to DOE, available via
19294		  \url{http://www.orau.gov/swproductivity2014/reference.htm}},
19295  year		= {2013}
19296}
19297
19298@Misc{		  ideas:project,
19299  author	= {Michael Heroux and Lois Curfman McInnes and J. David {Moulton (PIs)}},
19300  title		= {{Interoperable Design of Extreme-Scale Application Software (IDEAS)}},
19301  howpublished	= {\url{http://ideas-productivity.org}},
19302  year		= {2015}
19303}
19304
19305@TechReport{	  keyesmcinneswoodwardetal2012,
19306  author	= {D. E. Keyes and L. C. McInnes and C. Woodward and E. Constantinescu and D. Estep
19307		  and B. Sheehan},
19308  title		= {First Steps Toward a Multiphysics Exemplars and Benchmarks Suite},
19309  institution	= {Argonne National Laboratory},
19310  number	= {ANL/MCS-TM-330},
19311  month		= {Oct},
19312  year		= {2012}
19313}
19314
19315@Misc{		  sawsfs-web-page,
19316  author	= {Surtai Han and Barry Smith and Hong Zhang},
19317  title		= {{{SAWs Tutorial: Fieldsplit Preconditioner}}},
19318  note		= {\url{https://www.youtube.com/watch?v=-w0fPhmZT3c}},
19319  year		= {2015}
19320}
19321
19322@Misc{		  sawshk-web-page,
19323  author	= {Surtai Han and Barry Smith and Hong Zhang},
19324  title		= {{{SAWs Tutorial: Hierarchical Krylov Method}}},
19325  note		= {\url{https://www.youtube.com/watch?v=hWbqppTrcOw}},
19326  year		= {2015}
19327}
19328
19329@Misc{		  sawsnestk-web-page,
19330  author	= {Surtai Han and Barry Smith and Hong Zhang},
19331  title		= {{{SAWs Tutorial: Nested Krylov Method}}},
19332  note		= {\url{https://www.youtube.com/watch?v=kqPXZxMOJmA}},
19333  year		= {2015}
19334}
19335
19336@Misc{		  m2acs:project,
19337  author	= {M. {Anitescu et al.}},
19338  title		= {{Multifaceted Mathematics for Complex Energy Systems (M2ACS) {W}eb page}},
19339  howpublished	= {\url{http://www.mcs.anl.gov/MACS}},
19340  year		= {2015}
19341}
19342
19343@Misc{		  hssmn13,
19344  author	= {P. Hovland and B. Smith and M. Snir and L. C. McInnes and B. Norris},
19345  title		= {Exposing and Expanding Compiler Technologies to Improve Software Productivity in
19346		  Developing Mathematical Libraries and Simulation Codes},
19347  note		= {whitepaper submitted to DOE Workshop on Software Productivity for Extreme-Scale
19348		  Science, available via \url{http://www.orau.gov/swproductivity2014/papers.htm}},
19349  year		= {2013}
19350}
19351
19352@Misc{		  atpesc:website,
19353  key		= {{Argonne Training Program for Extreme-Scale Computing}},
19354  title		= {{Argonne Training Program for Extreme-Scale Computing (ATPESC)}},
19355  howpublished	= {\url{http://extremecomputingtraining.anl.gov}},
19356  year		= {2018}
19357}
19358
19359@Article{	  barraultmadaynguyenpatera2004,
19360  author	= {Maxime Barrault and Yvon Maday and Ngoc Cuong Nguyen and Anthony T. Patera},
19361  title		= {An empirical interpolation method: application to efficient reduced-basis
19362		  discretization of partial differential equations},
19363  journal	= {Comptes Rendus Mathematique},
19364  volume	= {339},
19365  number	= {9},
19366  pages		= {667--672},
19367  year		= {2004},
19368  issn		= {1631-073X},
19369  doi		= {10.1016/j.crma.2004.08.006}
19370}
19371
19372@Article{	  simongogotsi08,
19373  title		= {Materials for electrochemical capacitors},
19374  author	= {Patrice Simon and Yury Gogotsi},
19375  journal	= {Nature Materials},
19376  volume	= {7},
19377  number	= {11},
19378  pages		= {845--854},
19379  year		= {2008},
19380  doi		= {10.1038/nmat2297}
19381}
19382
19383@Article{	  vladsinghrollandmelinteajayangohy14,
19384  title		= {Hybrid supercapacitor-battery materials for fast electrochemical charge storage},
19385  author	= {A. Vlad and N. Singh and J. Rolland and S. Melinte and P. M. Ajayan and J.-F.
19386		  Gohy},
19387  journal	= {Scientific Reports},
19388  volume	= {4},
19389  year		= {2014},
19390  doi		= {10.1038/srep04315}
19391}
19392
19393@Article{	  lichengshashurinkeidar12,
19394  title		= {Review of Electrochemical Capacitors Based on Carbon Nanotubes and Graphene},
19395  author	= {J. Li and X. Cheng and A. Shashurin and M. Keidar},
19396  journal	= {Graphene},
19397  volume	= {1},
19398  number	= {1},
19399  pages		= {1--13},
19400  year		= {2012},
19401  doi		= {10.4236/graphene.2012.11001}
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19407  journal	= {Battery and Energy Storage Technology},
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19409  year		= {2007}
19410}
19411
19412@Book{		  deshpande14,
19413  title		= {Ultracapacitors: Future of Energy Storage},
19414  author	= {R. P. Deshpande},
19415  publisher	= {McGraw Hill Education},
19416  isbn		= {978-9339214050},
19417  pages		= {452},
19418  year		= {2014}
19419}
19420
19421@Article{	  hojowboggs10,
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19426  volume	= {26},
19427  number	= {1},
19428  pages		= {20--25},
19429  year		= {2010},
19430  doi		= {10.1109/MEI.2010.5383924},
19431  issn		= {0883-7554}
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19434@Article{	  gillespie14,
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19438  journal	= {Microfluidics and Nanofluidics},
19439  volume	= {18},
19440  number	= {5-6},
19441  pages		= {717--738},
19442  year		= {2015}
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19446  author	= {Dirk Gillespie and Monica Valisk\'{o} and Dezs\H{o} Boda},
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19448  journal	= {J. Phys.: Condens. Matter},
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19453
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19458  journal	= {J. Phys. Chem. C},
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19478  volume	= {94},
19479  number	= {3},
19480  pages		= {737--746},
19481  doi		= {10.1529/biophysj.107.112508},
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19491  pages		= {1410--1416},
19492  year		= {2012}
19493}
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19500  number	= {B5},
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19510		  Krist{\'o}f},
19511  journal	= {Journal of Molecular Liquids},
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19515  publisher	= {Elsevier}
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19526  publisher	= {Elsevier}
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19528
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19535  number	= {9},
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19544  author	= {Bryan J Schindler and Lucas A Mitchell and Clare McCabe and Peter T Cummings and
19545		  M Douglas LeVan},
19546  journal	= {The Journal of Physical Chemistry C},
19547  volume	= {117},
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19550  year		= {2013},
19551  publisher	= {ACS Publications}
19552}
19553
19554@Misc{		  tramonto,
19555  author	= {Laura Frink and et. al.},
19556  title		= {TRAMONTO 3.0 web site},
19557  url		= {https://software.sandia.gov/DFTfluids/tramonto3_0.html},
19558  year		= {2014}
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19563  title		= {Numerical Methods for Mantle Convection},
19564  booktitle	= {Treatise on Geophysics},
19565  publisher	= {Elsevier},
19566  volume	= {7},
19567  editor	= {Gerald Schubert},
19568  edition	= {Second Edition},
19569  year		= {2015}
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19571
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19577  journal	= {Philosophical Transactions of the Royal Society A},
19578  volume	= {210},
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19580  pages		= {307--357},
19581  doi		= {10.1098/rsta.1911.0009},
19582  year		= {1911}
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19597  author	= {Larry A Schoof and Victor R Yarberry},
19598  institution	= {Sandia National Laboratories},
19599  number	= {SAND92-2137},
19600  address	= {Albuquerque, NM},
19601  year		= {1994}
19602}
19603
19604@Misc{		  poirier1998cgns,
19605  author	= {Diane Poirier and Steven R Allmaras and Douglas R McCarthy and Matthew F Smith
19606		  and Fancis Y Enomoto},
19607  title		= {The CGNS system},
19608  note		= {AIAA Paper 98-3007},
19609  year		= {1998}
19610}
19611
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19616  journal	= {International Journal for Numerical Methods in Engineering},
19617  volume	= {79},
19618  number	= {11},
19619  pages		= {1309--1331},
19620  year		= {2009},
19621  publisher	= {Wiley Online Library}
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19629  number	= {2},
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19632  year		= {2015}
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19646  volume	= {197},
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19649  publisher	= {Elsevier}
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19654  title		= {Argonne National Laboratory and the Emergence of Computer and Computational
19655		  Science, 1946--1992},
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19657  month		= {August},
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19685  booktitle	= {Encyclopedia of Applied and Computational Mathematics},
19686  editor	= {Bj{\"o}rn Engquist},
19687  publisher	= {Springer Berlin Heidelberg},
19688  address	= {Berlin, Heidelberg},
19689  pages		= {1173--1181},
19690  isbn		= {978-3-540-70529-1},
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19701  isbn		= {978-0486411811},
19702  publisher	= {Dover}
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19711  pages		= {4--10},
19712  year		= {2002},
19713  publisher	= {American Society of Mechanical Engineers}
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19717  title		= {PRAgMaTIc - Parallel Anisotropic Adaptive Mesh Toolkit},
19718  author	= {Georgios Rokos and Gerard Gorman},
19719  booktitle	= {Facing the Multicore-Challenge III},
19720  series	= {Lecture Notes in Computer Science},
19721  editor	= {Keller, Rainer and Kramer, David and Weiss, Jan-Philipp},
19722  publisher	= {Springer Berlin Heidelberg},
19723  volume	= {7686},
19724  pages		= {143-144},
19725  doi		= {10.1007/978-3-642-35893-7_22},
19726  isbn		= {978-3-642-35892-0},
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19731  author	= {{The HDF Group}},
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19779  month		= {May},
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19797  author	= {Samuel Williams and {et. al.}},
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19799  key		= {Roofline},
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19808  year		= {2008},
19809  note		= {ParLab Summer Retreat},
19810  url		= {http://crd.lbl.gov/assets/pubs_presos/parlab08-roofline-talk.pdf},
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19966  journal	= {Numerische Mathematik},
19967  volume	= {25},
19968  number	= {3},
19969  pages		= {279--285},
19970  year		= {1975},
19971  publisher	= {Springer}
19972}
19973
19974@Article{	  ptak1976,
19975  title		= {Nondiscrete mathematical induction and iterative existence proofs},
19976  author	= {Vlastimil Pt{\'a}k},
19977  journal	= {Linear algebra and its applications},
19978  volume	= {13},
19979  number	= {3},
19980  pages		= {223--238},
19981  year		= {1976},
19982  publisher	= {Elsevier}
19983}
19984
19985@Article{	  ptak1977,
19986  title		= {What should be a rate of convergence?},
19987  author	= {Vlastimil Pt{\'a}k},
19988  journal	= {RAIRO-Analyse num{\'e}rique},
19989  volume	= {11},
19990  number	= {3},
19991  pages		= {279--286},
19992  year		= {1977}
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19996  title		= {Sharp error bounds for {Newton's} process},
19997  author	= {Florian A Potra and Vlastimil Pt{\'a}k},
19998  journal	= {Numerische Mathematik},
19999  volume	= {34},
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20009  journal	= {IMA Journal of Numerical Analysis},
20010  doi		= {10.1093/imanum/drv037},
20011  archiveprefix	= {arXiv},
20012  eprint	= {1405.2683},
20013  primaryclass	= {math-na},
20014  year		= {2015}
20015}
20016
20017@Book{		  traub1964,
20018  title		= {Iterative Methods for the Solution of Equations},
20019  author	= {Joseph F Traub},
20020  year		= {1964},
20021  publisher	= {Prentice-Hall, Englewood Cliffs, NJ}
20022}
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20025  title		= {Exascale Computing Technology Challenges},
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20028  pages		= {1–-25},
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20030}
20031
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20033  title		= {Sur les ensembles de fonctions et les op\'erations lin\'eaires},
20034  author	= {Maurice Ren\'e Fr\'echet},
20035  journal	= {C. R. Acad. Sci. Paris},
20036  volume	= {144},
20037  pages		= {1414--1416},
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20039}
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20042  title		= {Sur une esp\'ece de g\'eom\'etrie analytique des syst\'emes de fonctions sommables},
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20044  journal	= {C. R. Acad. Sci. Paris},
20045  volume	= {144},
20046  pages		= {1409--1411},
20047  year		= {1907}
20048}
20049
20050@Article{	  riesz1909,
20051  title		= {Sur les op\'erations fonctionnelles lin\'eaires},
20052  author	= {Frigyes Riesz},
20053  journal	= {C. R. Acad. Sci. Paris},
20054  volume	= {149},
20055  pages		= {974--977},
20056  year		= {1909}
20057}
20058
20059@Misc{		  rieszmarkovkakutanirepresentationtheorem,
20060  author	= {Wikipedia},
20061  title		= {Riesz-Markov-Kakutani Representation Theorem},
20062  url		= {http://en.wikipedia.org/wiki/Riesz-Markov-Kakutani_representation_theorem},
20063  note		= {\url{http://en.wikipedia.org/wiki/Riesz-Markov-Kakutani_representation_theorem}},
20064  year		= {2015}
20065}
20066
20067@Article{	  markov1938,
20068  title		= {On mean values and exterior densities},
20069  author	= {Andrey Markov},
20070  journal	= {Rec. Math. Moscou},
20071  volume	= {4},
20072  pages		= {165--190},
20073  year		= {1938}
20074}
20075
20076@Article{	  kakutani1941,
20077  title		= {Concrete representation of abstract {(M)}-spaces. (A characterization of the
20078		  space of continuous functions.)},
20079  author	= {Shizuo Kakutani},
20080  journal	= {Ann. of Math.},
20081  volume	= {2},
20082  number	= {42},
20083  pages		= {994--1024},
20084  doi		= {10.2307/1968778},
20085  year		= {1941}
20086}
20087
20088@Article{	  michoskimeyersonisaacwaelbroeck2014,
20089  title		= {Discontinuous Galerkin methods for plasma physics in the scrape-off layer of
20090		  tokamaks},
20091  author	= {Craig Michoski and D. Meyerson and Tobin Isaac and F. Waelbroeck},
20092  journal	= {Journal of Computational Physics},
20093  volume	= {274},
20094  pages		= {898--919},
20095  year		= {2014},
20096  publisher	= {Elsevier}
20097}
20098
20099@InProceedings{	  bursteddeghattasgurnisisaacstadlerwarburtonwilcox2010,
20100  title		= {Extreme-scale AMR},
20101  author	= {Carsten Burstedde and Omar Ghattas and Michael Gurnis and Tobin Isaac and Georg
20102		  Stadler and Tim Warburton and Lucas Wilcox},
20103  booktitle	= {Proceedings of the 2010 ACM/IEEE International Conference for High Performance
20104		  Computing, Networking, Storage and Analysis},
20105  pages		= {1--12},
20106  year		= {2010},
20107  organization	= {IEEE Computer Society},
20108  doi		= {10.1109/SC.2010.25}
20109}
20110
20111@InProceedings{	  isaacbursteddeghattas2012,
20112  title		= {Low-cost parallel algorithms for 2: 1 octree balance},
20113  author	= {Tobin Isaac and Carsten Burstedde and Omar Ghattas},
20114  booktitle	= {Parallel \& Distributed Processing Symposium (IPDPS), 2012 IEEE 26th
20115		  International},
20116  pages		= {426--437},
20117  year		= {2012},
20118  organization	= {IEEE},
20119  doi		= {10.1109/IPDPS.2012.47}
20120}
20121
20122@Article{	  isaacpetrastadlerghattas2015,
20123  title		= {Scalable and efficient algorithms for the propagation of uncertainty from data
20124		  through inference to prediction for large-scale problems, with application to flow
20125		  of the {Antarctic} ice sheet},
20126  author	= {Tobin Isaac and Noemi Petra and Georg Stadler and Omar Ghattas},
20127  journal	= {Journal of Computational Physics},
20128  volume	= {296},
20129  pages		= {348--368},
20130  year		= {2015},
20131  publisher	= {Elsevier},
20132  doi		= {10.1016/j.jcp.2015.04.047}
20133}
20134
20135@Article{	  isaacbursteddewilcoxghattas2015,
20136  title		= {Recursive Algorithms for Distributed Forests of Octrees},
20137  author	= {Tobin Isaac and Carsten Burstedde and Lucas C Wilcox and Omar Ghattas},
20138  journal	= {SIAM Journal on Scientific Computing},
20139  volume	= {37},
20140  number	= {5},
20141  pages		= {C497-C531},
20142  eprint	= {1406.0089},
20143  eprinttype	= {arXiv},
20144  year		= {2015},
20145  doi		= {10.1137/140970963}
20146}
20147
20148@Article{	  isaacstadlerghattas2015,
20149  title		= {Solution of nonlinear {S}tokes equations discretized by high-order finite
20150		  elements on nonconforming and anisotropic meshes, with application to ice sheet
20151		  dynamics},
20152  author	= {Isaac, Tobin and Stadler, Georg and Ghattas, Omar},
20153  journal	= {SIAM Journal on Scientific Computing},
20154  number	= {6},
20155  pages		= {804--833},
20156  volume	= {37},
20157  year		= {2015},
20158  doi		= {10.1137/140974407}
20159}
20160
20161@InProceedings{	  rudimalossiisaacstadlergurnisstaarineichenbekascurionighattas2015,
20162  title		= {An extreme-scale implicit solver for complex {PDEs}: highly heterogeneous flow in
20163		  earth's mantle},
20164  author	= {Johann Rudi and A Cristiano I Malossi and Tobin Isaac and Georg Stadler and
20165		  Michael Gurnis and Peter WJ Staar and Yves Ineichen and Costas Bekas and
20166		  Alessandro Curioni and Omar Ghattas},
20167  booktitle	= {Proceedings of the International Conference for High Performance Computing,
20168		  Networking, Storage and Analysis},
20169  pages		= {5},
20170  year		= {2015},
20171  organization	= {ACM},
20172  doi		= {10.1145/2807591.2807675}
20173}
20174
20175@Article{	  bunchhopcroft1974,
20176  title		= {Triangular factorization and inversion by fast matrix multiplication},
20177  author	= {James R Bunch and John E Hopcroft},
20178  journal	= {Mathematics of Computation},
20179  volume	= {28},
20180  number	= {125},
20181  pages		= {231--236},
20182  doi		= {10.2307/2005828},
20183  year		= {1974}
20184}
20185
20186@Article{	  nemirovsky1991,
20187  title		= {On optimality of Krylov's information when solving linear operator equations},
20188  author	= {A.S Nemirovsky},
20189  journal	= {Journal of Complexity},
20190  volume	= {7},
20191  number	= {2},
20192  pages		= {121--130},
20193  doi		= {10.1016/0885-064X(91)90001-E},
20194  year		= {1991}
20195}
20196
20197@Misc{		  siamcseprize,
20198  title		= {{SIAM/ACM} {P}rize in {C}omputational {S}cience and {E}ngineering},
20199  key		= {{SIAM/ACM} {P}rize in {C}omputational {S}cience and {E}ngineering},
20200  url		= {https://www.siam.org/prizes/sponsored/cse.php},
20201  howpublished	= {\url{https://www.siam.org/prizes/sponsored/cse.php}},
20202  year		= {2015}
20203}
20204
20205@Article{	  rathgeber2017,
20206  title		= {Firedrake: automating the finite element method by composing abstractions},
20207  author	= {Rathgeber, Florian and Ham, David A and Mitchell, Lawrence and Lange, Michael and
20208		  Luporini, Fabio and McRae, Andrew TT and Bercea, Gheorghe-Teodor and Markall,
20209		  Graham R and Kelly, Paul HJ},
20210  archiveprefix	= {arXiv},
20211  journal	= {ACM Transaction on Mathematical Software},
20212  eprint	= {1501.01809},
20213  volume	= {43},
20214  issue		= {3},
20215  number	= {24},
20216  year		= {2017},
20217  url		= {http://arxiv.org/abs/1501.01809}
20218}
20219
20220@Article{	  kirby2006b,
20221  title		= {Topological optimization of the evaluation of finite element matrices},
20222  author	= {Robert C Kirby and Anders Logg and L Ridgway Scott and Andy R. Terrel},
20223  journal	= {SIAM Journal on Scientific Computing},
20224  volume	= {28},
20225  number	= {1},
20226  pages		= {224--240},
20227  year		= {2006},
20228  publisher	= {SIAM}
20229}
20230
20231@Article{	  luporini2015,
20232  author	= {Luporini, Fabio and Varbanescu, Ana Lucia and Rathgeber, Florian and Bercea,
20233		  Gheorghe-Teodor and Ramanujam, J. and Ham, David A. and Kelly, Paul H. J.},
20234  title		= {Cross-Loop Optimization of Arithmetic Intensity for Finite Element Local
20235		  Assembly},
20236  journal	= {ACM Trans. Archit. Code Optim.},
20237  issue_date	= {January 2015},
20238  volume	= {11},
20239  number	= {4},
20240  month		= {January},
20241  year		= {2015},
20242  issn		= {1544-3566},
20243  pages		= {57:1--57:25},
20244  articleno	= {57},
20245  numpages	= {25},
20246  doi		= {10.1145/2687415},
20247  acmid		= {2687415},
20248  publisher	= {ACM},
20249  address	= {New York, NY, USA},
20250  keywords	= {Finite element integration, SIMD vectorization, compilers, local assembly,
20251		  optimizations}
20252}
20253
20254@Article{	  markall2012,
20255  title		= {Finite element assembly strategies on multi- and many-core architectures},
20256  author	= {Markall, G. R. and Slemmer, A. and Ham, D. A. and Kelly, P. H. J. and Cantwell,
20257		  C. D. and Sherwin, S. J.},
20258  journal	= {International Journal for Numerical Methods in Fluids},
20259  year		= {2013},
20260  volume	= {71},
20261  pages		= {80--97},
20262  doi		= {10.1002/fld.3648}
20263}
20264
20265@Article{	  markall2010,
20266  title		= {Towards generating optimised finite element solvers for GPUs from high-level
20267		  specifications},
20268  author	= {Graham R. Markall and David A. Ham and Paul H. J. Kelly},
20269  journal	= {Procedia Computer Science},
20270  volume	= {1},
20271  number	= {1},
20272  pages		= {1815--1823},
20273  year		= {2010},
20274  note		= {{ICCS} 2010},
20275  doi		= {10.1016/j.procs.2010.04.203}
20276}
20277
20278@Article{	  longkirbywaanders2010,
20279  title		= {Unified embedded parallel finite element computations via software-based
20280		  Fr{\'e}chet differentiation},
20281  author	= {Kevin Long and Robert Kirby and Bart van Bloemen Waanders},
20282  journal	= {SIAM Journal on Scientific Computing},
20283  volume	= {32},
20284  number	= {6},
20285  pages		= {3323--3351},
20286  year		= {2010},
20287  publisher	= {SIAM}
20288}
20289
20290@Article{	  kirby2010,
20291  title		= {From functional analysis to iterative methods},
20292  author	= {Robert C Kirby},
20293  journal	= {SIAM review},
20294  volume	= {52},
20295  number	= {2},
20296  pages		= {269--293},
20297  year		= {2010},
20298  publisher	= {SIAM}
20299}
20300
20301@Article{	  kirby2014,
20302  title		= {Low-Complexity Finite Element Algorithms for the de Rham Complex on Simplices},
20303  author	= {Robert C Kirby},
20304  journal	= {SIAM Journal on Scientific Computing},
20305  volume	= {36},
20306  number	= {2},
20307  pages		= {A846--A868},
20308  year		= {2014},
20309  publisher	= {SIAM}
20310}
20311
20312@Article{	  kirby2011,
20313  title		= {Fast simplicial finite element algorithms using Bernstein polynomials},
20314  author	= {Robert C Kirby},
20315  journal	= {Numerische Mathematik},
20316  volume	= {117},
20317  number	= {4},
20318  pages		= {631--652},
20319  year		= {2011},
20320  publisher	= {Springer}
20321}
20322
20323@Article{	  arnoldfalkwinther2006,
20324  title		= {Finite element exterior calculus, homological techniques, and applications},
20325  author	= {Arnold, Douglas N and Falk, Richard S and Winther, Ragnar},
20326  journal	= {Acta numerica},
20327  volume	= {15},
20328  pages		= {1--155},
20329  year		= {2006},
20330  publisher	= {Cambridge Univ Press}
20331}
20332
20333@Article{	  arnoldlogg2014,
20334  title		= {Periodic table of the finite elements},
20335  author	= {Douglas Arnold and Anders Logg},
20336  month		= {November},
20337  journal	= {SIAM News},
20338  year		= {2014}
20339}
20340
20341@Article{	  janssonhoffmanjansson2012,
20342  title		= {Framework for massively parallel adaptive finite element computational fluid
20343		  dynamics on tetrahedral meshes},
20344  author	= {Jansson, Niclas and Hoffman, Johan and Jansson, Johan},
20345  journal	= {SIAM Journal on Scientific Computing},
20346  volume	= {34},
20347  number	= {1},
20348  pages		= {C24--C41},
20349  year		= {2012},
20350  publisher	= {SIAM}
20351}
20352
20353@Article{	  rogneshamcottermcrae2013,
20354  title		= {Automating the solution of PDEs on the sphere and other manifolds in FEniCS 1.2},
20355  author	= {Rognes, Marie E and Ham, David A and Cotter, Colin J and McRae, Andrew TT},
20356  journal	= {Geoscientific Model Development},
20357  volume	= {6},
20358  number	= {6},
20359  pages		= {2099--2119},
20360  year		= {2013},
20361  publisher	= {Copernicus GmbH}
20362}
20363
20364@Book{		  loggmardalwells2012,
20365  title		= {Automated solution of differential equations by the finite element method: The
20366		  FEniCS book},
20367  author	= {Logg, Anders and Mardal, Kent-Andre and Wells, Garth},
20368  volume	= {84},
20369  year		= {2012},
20370  publisher	= {Springer Science \& Business Media}
20371}
20372
20373@Article{	  cotterkirby2014,
20374  title		= {Mixed finite elements for global tide models},
20375  author	= {Colin J Cotter and Robert C Kirby},
20376  archiveprefix	= {arXiv},
20377  journal	= {Submitted},
20378  eprint	= {1410.0045},
20379  year		= {2014},
20380  url		= {http://arxiv.org/abs/1410.0045}
20381}
20382
20383@Article{	  kirbykieu2015,
20384  title		= {Symplectic-mixed finite element approximation of linear acoustic wave equations},
20385  author	= {Robert C Kirby and Thinh Tri Kieu},
20386  journal	= {Numerische Mathematik},
20387  volume	= {130},
20388  number	= {2},
20389  pages		= {257--291},
20390  year		= {2015},
20391  publisher	= {Springer}
20392}
20393
20394@Article{	  brennankirby2015,
20395  title		= {Finite element approximation and preconditioners for a coupled thermo-acoustic
20396		  model},
20397  author	= {Brian Brennan and Robert C Kirby},
20398  journal	= {Submitted to Computers and Mathematics with Applications},
20399  year		= {2015}
20400}
20401
20402@Article{	  howlekirbydillon2013,
20403  title		= {Block preconditioners for coupled physics problems},
20404  author	= {Victoria E Howle and Robert C Kirby and Geoffrey Dillon},
20405  journal	= {SIAM Journal on Scientific Computing},
20406  volume	= {35},
20407  number	= {5},
20408  pages		= {S368--S385},
20409  year		= {2013},
20410  publisher	= {SIAM}
20411}
20412
20413@Book{		  malekstrakos2014,
20414  title		= {Preconditioning and the conjugate gradient method in the context of solving
20415		  PDEs},
20416  author	= {Josef M{\'a}lek and Zden\u{e}k Strako\u{s}},
20417  volume	= {1},
20418  year		= {2014},
20419  publisher	= {SIAM}
20420}
20421
20422@Article{	  desturler1995,
20423  title		= {Reducing the effect of global communication in GMRES(m) and \{CG\} on parallel
20424		  distributed memory computers},
20425  author	= {E. de Sturler and H.A. van der Vorst},
20426  journal	= {Applied Numerical Mathematics},
20427  volume	= {18},
20428  number	= {4},
20429  pages		= {441--459},
20430  year		= {1995},
20431  doi		= {10.1016/0168-9274(95)00079-A}
20432}
20433
20434@Article{	  velicmaymoresi2009,
20435  title		= {A fast robust algorithm for computing discrete voronoi diagrams},
20436  author	= {Velic, Mirko and May, Dave and Moresi, Louis},
20437  journal	= {Journal of Mathematical Modelling and Algorithms},
20438  volume	= {8},
20439  number	= {3},
20440  pages		= {343--355},
20441  year		= {2009},
20442  publisher	= {Springer}
20443}
20444
20445@Article{	  may2012,
20446  title		= {Volume reconstruction of point cloud data sets derived from computational
20447		  geodynamic simulations},
20448  author	= {May, DA},
20449  journal	= {Geochemistry, Geophysics, Geosystems},
20450  volume	= {13},
20451  number	= {5},
20452  year		= {2012},
20453  publisher	= {Wiley Online Library}
20454}
20455
20456@Article{	  quenettehodkinson2010,
20457  title		= {StgDomain--scalable parallel domain software components for particle-in-cell
20458		  finite element methods},
20459  author	= {Quenette, Steve and Hodkinson, Luke},
20460  journal	= {Concurrency and Computation: Practice and Experience},
20461  volume	= {22},
20462  number	= {12},
20463  pages		= {1593--1603},
20464  year		= {2010},
20465  publisher	= {Wiley Online Library}
20466}
20467
20468@Book{		  velic2005,
20469  title		= {Gauge Invariant Integration and Perturbation of Petrov Type D Spacetimes},
20470  author	= {Velic, Mirko},
20471  year		= {2005},
20472  publisher	= {Monash University}
20473}
20474
20475@Article{	  velicknepleymay2016,
20476  title		= {Numerically Stable Exact Solutions for Variable-Viscosity Stokes Equations},
20477  author	= {Mirko Velic and Louis Moresi and Dave May and Matthew Knepley},
20478  note		= {in preparation},
20479  year		= {2016}
20480}
20481
20482@Article{	  traubwozniakowski1979,
20483  title		= {Convergence and complexity of Newton iteration for operator equations},
20484  author	= {Joseph Frederick Traub and H. Wo{\'z}niakowski},
20485  journal	= {Journal of the ACM (JACM)},
20486  volume	= {26},
20487  number	= {2},
20488  pages		= {250--258},
20489  year		= {1979},
20490  publisher	= {ACM}
20491}
20492
20493@Article{	  sterck2013,
20494  title		= {Steepest descent preconditioning for nonlinear {GMRES} optimization},
20495  author	= {Hans De Sterck},
20496  journal	= {Numerical Linear Algebra with Applications},
20497  volume	= {20},
20498  number	= {3},
20499  pages		= {453--471},
20500  year		= {2013}
20501}
20502
20503@Article{	  sterckwinlaw2015,
20504  title		= {A nonlinearly preconditioned conjugate gradient algorithm for {rank-R} canonical
20505		  tensor approximation},
20506  author	= {Hans De Sterck and Manda Winlaw},
20507  journal	= {Numerical Linear Algebra with Applications},
20508  volume	= {22},
20509  number	= {3},
20510  pages		= {410--432},
20511  year		= {2015}
20512}
20513
20514@Article{	  sterckhowse2015,
20515  title		= {Nonlinearly preconditioned optimization on {Grassman} manifolds for computing
20516		  approximate {Tucker} tensor decompositions},
20517  author	= {Hans De Sterck and Alexander Howse},
20518  journal	= {SIAM Journal on Scientific Computing},
20519  note		= {submitted},
20520  year		= {2015}
20521}
20522
20523@Book{		  ladevezesimmonds1999,
20524  title		= {Nonlinear computational structural mechanics: {N}ew approaches and
20525		  non-incremental methods of calculation},
20526  author	= {P. Ladev{\`e}ze and J.G. Simmonds},
20527  series	= {{M}echanical {E}ngineering {S}eries},
20528  url		= {http://books.google.com/books?id=McZRAAAAMAAJ},
20529  isbn		= {9780387985947},
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21084		  Folkmar and Abers, Geoffrey A and van den Bogaard, Paul and Heydolph, Ken and
21085		  Alvarado, Guillermo and Protti, Marino and others},
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21091  publisher	= {Nature Publishing Group}
21092}
21093
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21096		  splitting?},
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21099  volume	= {37},
21100  number	= {1},
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21102  year		= {1999}
21103}
21104
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21107		  of airborne contaminants},
21108  author	= {Volkan Ak{\c{c}}elik and George Biros and Andrei Draganescu and Judith Hill and
21109		  Omar Ghattas and Bart Van Bloemen Waanders},
21110  booktitle	= {Proceedings of the 2005 ACM/IEEE conference on Supercomputing},
21111  pages		= {43},
21112  year		= {2005},
21113  organization	= {IEEE Computer Society}
21114}
21115
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21140		  and Emmanuel Candes and Maxime Dahan},
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21142  volume	= {109},
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21145  year		= {2012}
21146}
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21150		  matter loading in estuaries and coastal zones},
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21152  journal	= {Ecological Modelling},
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21163  journal	= {SIAM Journal on Scientific Computing},
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21165  number	= {4},
21166  pages		= {A1880--A1904},
21167  year		= {2012}
21168}
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21171  title		= {{FaIMS}: A fast algorithm for the inverse medium problem with multiple
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21173  author	= {St{\'e}phanie Chaillat and George Biros},
21174  journal	= {Journal of Computational Physics},
21175  volume	= {231},
21176  number	= {12},
21177  pages		= {4403--4421},
21178  year		= {2012}
21179}
21180
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21183		  problems by a regularized {Newton} method},
21184  author	= {Charbel Farhat and Radek Tezaur and Rabia Djellouli},
21185  journal	= {Inverse problems},
21186  volume	= {18},
21187  number	= {5},
21188  pages		= {1229},
21189  year		= {2002}
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21191
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21200}
21201
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21206  journal	= {Computers \& fluids},
21207  volume	= {28},
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21210  year		= {1999}
21211}
21212
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21215		  Heterogeneous Viscosity},
21216  author	= {Johan Rudi and Georg Stadler and Omar Ghattas},
21217  journal	= {ArXiv e-prints},
21218  archiveprefix	= {arXiv},
21219  primaryclass	= {math.NA},
21220  eprint	= {1607.03936},
21221  month		= {jul},
21222  year		= {2016}
21223}
21224
21225@Article{	  borzikunisch2006,
21226  title		= {A globalization strategy for the multigrid solution of elliptic optimal control
21227		  problems},
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21229  journal	= {Optimisation Methods and Software},
21230  volume	= {21},
21231  number	= {3},
21232  pages		= {445--459},
21233  year		= {2006}
21234}
21235
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21237  title		= {A multigrid approach to discretized optimization problems},
21238  author	= {Stephen G Nash},
21239  journal	= {Optimization Methods and Software},
21240  volume	= {14},
21241  number	= {1-2},
21242  pages		= {99--116},
21243  year		= {2000}
21244}
21245
21246@Article{	  jameson1983,
21247  title		= {Solution of the Euler equations for two dimensional transonic flow by a multigrid
21248		  method},
21249  author	= {Antony Jameson},
21250  journal	= {Applied mathematics and computation},
21251  volume	= {13},
21252  number	= {3-4},
21253  pages		= {327--355},
21254  year		= {1983}
21255}
21256
21257@Article{	  billen2008,
21258  title		= {Modeling the dynamics of subducting slabs},
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21260  journal	= {Annu. Rev. Earth Planet. Sci.},
21261  volume	= {36},
21262  pages		= {325--356},
21263  year		= {2008}
21264}
21265
21266@Article{	  gerya2011,
21267  title		= {Future directions in subduction modeling},
21268  author	= {Taras Gerya},
21269  journal	= {Journal of Geodynamics},
21270  volume	= {52},
21271  number	= {5},
21272  pages		= {344--378},
21273  year		= {2011}
21274}
21275
21276@Article{	  tackley2000,
21277  title		= {Mantle convection and plate tectonics: Toward an integrated physical and chemical
21278		  theory},
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21280  journal	= {Science},
21281  volume	= {288},
21282  number	= {5473},
21283  pages		= {2002--2007},
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21285}
21286
21287@Article{	  caseydewey1984,
21288  title		= {Initiation of subduction zones along transform and accreting plate boundaries,
21289		  triple-junction evolution, and forearc spreading centres—implications for
21290		  ophiolitic geology and obduction},
21291  author	= {JF Casey and JF Dewey},
21292  journal	= {Geological Society, London, Special Publications},
21293  volume	= {13},
21294  number	= {1},
21295  pages		= {269--290},
21296  year		= {1984}
21297}
21298
21299@Article{	  doughertyclayton2014,
21300  title		= {Seismicity and structure in central {Mexico}: Evidence for a possible slab tear
21301		  in the {South Cocos} plate},
21302  author	= {Sara L Dougherty and Robert W Clayton},
21303  journal	= {Journal of Geophysical Research: Solid Earth},
21304  volume	= {119},
21305  number	= {4},
21306  pages		= {3424--3447},
21307  year		= {2014}
21308}
21309
21310@Article{	  syracusemaceiraprietozhangammon2016,
21311  title		= {Multiple plates subducting beneath Colombia, as illuminated by seismicity and
21312		  velocity from the joint inversion of seismic and gravity data},
21313  author	= {Ellen M Syracuse and Monica Maceira and German A Prieto and Haijiang Zhang and
21314		  Charles J Ammon},
21315  journal	= {Earth and Planetary Science Letters},
21316  volume	= {444},
21317  pages		= {139--149},
21318  year		= {2016}
21319}
21320
21321@Article{	  bowergurnisflament2015,
21322  title		= {Assimilating lithosphere and slab history in 4-D Earth models},
21323  author	= {Dan J Bower and Michael Gurnis and Nicolas Flament},
21324  journal	= {Physics of the Earth and Planetary Interiors},
21325  volume	= {238},
21326  pages		= {8--22},
21327  year		= {2015}
21328}
21329
21330@Book{		  ciarlet1976,
21331  title		= {Numerical analysis of the finite element method},
21332  author	= {Philippe G Ciarlet},
21333  volume	= {59},
21334  year		= {1976},
21335  publisher	= {Presses de l'Universit{\'e} de Montr{\'e}al}
21336}
21337
21338@InProceedings{	  liumellorcrummey2013,
21339  title		= {A data-centric profiler for parallel programs},
21340  author	= {Xu Liu and John Mellor-Crummey},
21341  booktitle	= {2013 SC-International Conference for High Performance Computing, Networking,
21342		  Storage and Analysis (SC)},
21343  pages		= {1--12},
21344  year		= {2013},
21345  organization	= {IEEE}
21346}
21347
21348@InCollection{	  ernstgander2012,
21349  title		= {Why it is difficult to solve Helmholtz problems with classical iterative
21350		  methods},
21351  author	= {Oliver G Ernst and Martin J Gander},
21352  booktitle	= {Numerical analysis of multiscale problems},
21353  pages		= {325--363},
21354  url		= {http://www.mathe.tu-freiberg.de/~ernst/PubArchive/helmholtzDurham.pdf},
21355  year		= {2012}
21356}
21357
21358@Article{	  warburtonkarniadakis1999,
21359  title		= {A discontinuous Galerkin method for the viscous {MHD} equations},
21360  author	= {Timothy C Warburton and George E Karniadakis},
21361  journal	= {Journal of Computational Physics},
21362  volume	= {152},
21363  number	= {2},
21364  pages		= {608--641},
21365  year		= {1999}
21366}
21367
21368@Article{	  salahsoulaimanihabashi2001,
21369  title		= {A finite element method for magnetohydrodynamics},
21370  author	= {Nizar Ben Salah and Azzeddine Soulaimani and Wagdi G Habashi},
21371  journal	= {Computer Methods in Applied Mechanics and Engineering},
21372  volume	= {43},
21373  number	= {190},
21374  pages		= {5867--5892},
21375  year		= {2001}
21376}
21377
21378@Article{	  nesliturktezersezgin2005,
21379  title		= {The finite element method for {MHD} flow at high {Hartmann} numbers},
21380  author	= {Ali I Nesliturk and M Tezer-Sezgin},
21381  journal	= {Computer methods in applied mechanics and engineering},
21382  volume	= {194},
21383  number	= {9},
21384  pages		= {1201--1224},
21385  year		= {2005}
21386}
21387
21388@Article{	  strakschellart2016,
21389  title		= {Control of Slab Width on Subduction-Induced Upper Mantle Flow and Associated
21390		  Upwellings: Insights from Analog Models},
21391  author	= {Vincent Strak and Wouter P Schellart},
21392  journal	= {Journal of Geophysical Research: Solid Earth},
21393  year		= {2016}
21394}
21395
21396@InBook{	  kirbyloggrognesterrel2012,
21397  title		= {Common and unusual finite elements},
21398  author	= {Robert C. Kirby and Anders Logg and Marie E. Rognes and Andy R. Terrel},
21399  editor	= {Anders Logg and Kent-Andre Mardal and Garth Wells},
21400  booktitle	= {Automated Solution of Differential Equations by the Finite Element Method: The
21401		  FEniCS Book},
21402  publisher	= {Springer Berlin Heidelberg},
21403  address	= {Berlin, Heidelberg},
21404  pages		= {95--119},
21405  isbn		= {978-3-642-23099-8},
21406  doi		= {10.1007/978-3-642-23099-8_3},
21407  year		= {2012}
21408}
21409
21410@InBook{	  kirbymardal2012,
21411  author	= {Robert C. Kirby and Kent-Andre Mardal},
21412  title		= {Constructing general reference finite elements},
21413  editor	= {Anders Logg and Kent-Andre Mardal and Garth Wells},
21414  booktitle	= {Automated Solution of Differential Equations by the Finite Element Method: The
21415		  FEniCS Book},
21416  publisher	= {Springer Berlin Heidelberg},
21417  address	= {Berlin, Heidelberg},
21418  pages		= {121--132},
21419  isbn		= {978-3-642-23099-8},
21420  doi		= {10.1007/978-3-642-23099-8_4},
21421  year		= {2012}
21422}
21423
21424@Book{		  wriggers2008,
21425  title		= {Nonlinear finite element methods},
21426  author	= {Peter Wriggers},
21427  publisher	= {Springer Science \& Business Media},
21428  year		= {2008}
21429}
21430
21431@Book{		  zienkiewicztaylor1977,
21432  title		= {The finite element method},
21433  author	= {Zienkiewicz, Olgierd Cecil and Taylor, Robert Leroy and Taylor, Robert Lee},
21434  publisher	= {McGraw-hill London},
21435  volume	= {3},
21436  year		= {1977}
21437}
21438
21439@Article{	  rogneskirbylogg2009,
21440  title		= {Efficient assembly of {H(div)} and {H(curl)} conforming finite elements},
21441  author	= {Marie E Rognes and Robert C Kirby and Anders Logg},
21442  journal	= {SIAM Journal on Scientific Computing},
21443  volume	= {31},
21444  number	= {6},
21445  pages		= {4130--4151},
21446  year		= {2009}
21447}
21448
21449@Book{		  kelley03,
21450  title		= {Solving nonlinear equations with Newton's method},
21451  author	= {Carl T. Kelley},
21452  publisher	= {SIAM},
21453  year		= {2003}
21454}
21455
21456@Article{	  turing1937,
21457  title		= {The Chemical Basis of Morphogenesis},
21458  author	= {A. M. Turing},
21459  journal	= {Philosophical Transactions of the Royal Society B: Biological Sciences},
21460  volume	= {237},
21461  number	= {641},
21462  pages		= {37--72},
21463  doi		= {10.1098/rstb.1952.0012},
21464  issn		= {0080-4622},
21465  url		= {http://rstb.royalsocietypublishing.org/content/237/641/37},
21466  eprint	= {http://rstb.royalsocietypublishing.org/content/237/641/37.full.pdf},
21467  year		= {1952}
21468}
21469
21470@Article{	  fabienknepleymillsriviere2017,
21471  title		= {Manycore parallel computing for a hybridizable discontinuous {Galerkin} nested
21472		  multigrid method},
21473  author	= {Maurice S. Fabien and Matthew G. Knepley and Richard Mills and B\'eatrice M.
21474		  Rivi\`ere},
21475  journal	= {SIAM Journal on Scientific Computing},
21476  url		= {https://arxiv.org/abs/1705.09907},
21477  volume	= {41},
21478  number	= {2},
21479  pages		= {C73--C96},
21480  doi		= {10.1137/17M1128903},
21481  year		= {2018}
21482}
21483
21484@Article{	  fabienknepleyriviere2018,
21485  title		= {A hybridizable discontinuous Galerkin method for two-phase flow in heterogeneous
21486		  porous media},
21487  author	= {Maurice S. Fabien and Matthew G. Knepley and B\'eatrice M. Rivier\'e},
21488  journal	= {International Journal for Numerical Methods in Engineering},
21489  doi		= {10.1002/nme.5919},
21490  year		= {2018}
21491}
21492
21493@Article{	  fabienknepleyriviere2020,
21494  title		= {A high order hybridizable discontinuous Galerkin method for incompressible
21495		  miscible displacement in heterogeneous media},
21496  author	= {Maurice S. Fabien and Matthew G. Knepley and B\'eatrice M. Rivi\`ere},
21497  journal	= {Results in Applied Mathematics},
21498  url		= {https://arxiv.org/abs/1809.00747},
21499  volume	= {8},
21500  doi		= {10.1016/j.rinam.2019.100089},
21501  year		= {2020}
21502}
21503
21504@Article{	  fabienknepleyriviere2019b,
21505  title		= {Families of Interior Penalty Hybridizable discontinuous Galerkin methods for
21506		  second order elliptic problems},
21507  author	= {Maurice S. Fabien and Matthew G. Knepley and B\'eatrice M. Rivi\`ere},
21508  journal	= {Journal of Numerical Mathematics},
21509  doi		= {10.1515/jnma-2019-0027},
21510  year		= {2019}
21511}
21512
21513@Article{	  fabien2019,
21514  title		= {A {GPU}-Accelerated Hybridizable Discontinuous {Galerkin} Method for Linear
21515		  Elasticity},
21516  author	= {Maurice S. Fabien},
21517  journal	= {Communications in Computational Physics},
21518  volume	= {27},
21519  number	= {2},
21520  pages		= {513--545},
21521  issn		= {1991-7120},
21522  doi		= {10.4208/cicp.OA-2018-0235},
21523  year		= {2019}
21524}
21525
21526@Unpublished{	  awanoufabienguzmanstern2020,
21527  title		= {Hybridization and postprocessing in finite element exterior calculus},
21528  author	= {Gerard Awanou and Maurice Fabien and Johnny Guzm\'an and Ari Stern},
21529  eprint	= {2008.00149},
21530  note		= {preprint},
21531  primaryclass	= {math.NA},
21532  year		= {2020}
21533}
21534
21535@Article{	  chaabanegiraultrivierethompson2018,
21536  title		= {A stable enriched Galerkin element for the Stokes problem},
21537  author	= {Nabil Chaabane and Vivette Girault and B\'eatrice Rivi\`ere and Travis Thompson},
21538  journal	= {Applied Numerical Mathematics},
21539  volume	= {132},
21540  pages		= {1--21},
21541  issn		= {0168-9274},
21542  doi		= {https://doi.org/10.1016/j.apnum.2018.04.008},
21543  url		= {http://www.sciencedirect.com/science/article/pii/S0168927418300977},
21544  year		= {2018}
21545}
21546
21547@Article{	  thompsonriviereknepley2018,
21548  title		= {An Implicit Discontinuous Galerkin Method For Modeling Acute Edema and
21549		  Resuscitation In The Small Intestine},
21550  author	= {Travis Thompson and B\'eatrice M. Rivi\`ere and Matthew G. Knepley},
21551  journal	= {Mathematical Medicine and Biology},
21552  doi		= {10.1093/imammb/dqz00},
21553  year		= {2019}
21554}
21555
21556@Article{	  kevrekidisthompsongoriely2020,
21557  title		= {Anisotropic Diffusion and Traveling Waves of Toxic Proteins in Neurodegenerative
21558		  Diseases},
21559  author	= {P. G. Kevrekidis and Travis Thompson and Alain Goriely},
21560  journal	= {Physics Letters A},
21561  volume	= {384},
21562  number	= {36},
21563  pages		= {126935},
21564  year		= {2020}
21565}
21566
21567@Article{	  mardalrognesthompson2021,
21568  title		= {Accurate Discretization Of Poroelasticity Without {Darcy} Stability --
21569		  {Stokes-Biot} Stability Revisited},
21570  author	= {Kent-Andre Mardal and Marie E. Rognes and Travis B. Thompson},
21571  journal	= {BIT Numerical Mathematics},
21572  pages		= {1--36},
21573  year		= {2021}
21574}
21575
21576@Article{	  piersantileethompsonmardalrognes2021,
21577  title		= {Parameter robust preconditioning by congruence for multiple-network
21578		  poroelasticity},
21579  author	= {Piersanti, Eleonora and Lee, Jeonghun J and Thompson, Travis and Mardal, K-A and
21580		  Rognes, Marie E},
21581  journal	= {SIAM Journal on Scientific Computing},
21582  volume	= {43},
21583  number	= {4},
21584  pages		= {B984--B1007},
21585  year		= {2021},
21586  publisher	= {SIAM}
21587}
21588
21589@InProceedings{	  actorfuentesriviere2020b,
21590  title		= {Identification of Kernels in a Convolutional Neural Network: Connections Between
21591		  Level Set Equation and Deep Learning for Image Segmentation},
21592  author	= {Jonas A. Actor and David T. Fuentes and B\'eatrice M. Rivi\`ere},
21593  booktitle	= {Proceedings of the SPIE Medical Imaging Conference},
21594  year		= {2020}
21595}
21596
21597@Article{	  actorfuentesriviere2020,
21598  title		= {Robust Regularized Networks in the Presence of Noise},
21599  author	= {Jonas A. Actor and David T. Fuentes and B\'eatrice M. Rivi\`ere},
21600  journal	= {Medical Image Analysis},
21601  note		= {In revision},
21602  year		= {2020}
21603}
21604
21605@Book{		  byerly1893,
21606  title		= {An elementary treatise on Fourier's series: and spherical, cylindrical, and
21607		  ellipsoidal harmonics, with applications to problems in mathematical physics},
21608  author	= {William Elwood Byerly},
21609  publisher	= {Dover},
21610  year		= {1893}
21611}
21612
21613@Book{		  hobson1931,
21614  title		= {The theory of spherical and ellipsoidal harmonics},
21615  author	= {Ernest William Hobson},
21616  year		= {1931},
21617  publisher	= {CUP Archive}
21618}
21619
21620@Book{		  dassios2012,
21621  title		= {Ellipsoidal harmonics: theory and applications},
21622  author	= {George Dassios},
21623  volume	= {146},
21624  year		= {2012},
21625  publisher	= {Cambridge University Press}
21626}
21627
21628@Book{		  miller1977,
21629  title		= {Symmetry and separation of variables},
21630  author	= {Miller, Jr, Willard},
21631  year		= {1977},
21632  address	= {Reading, MA},
21633  publisher	= {Addison-Wesley Publishing Co., Inc.}
21634}
21635
21636@TechReport{	  epanet-users-manual,
21637  author	= {Lewis A. Rossman},
21638  title		= {{EPANET 2} Users Manual},
21639  institution	= {Water Supply and Water Resources Division, National Risk Management Research
21640		  Laboratory, Cincinnati, OH 45268},
21641  year		= {2000}
21642}
21643
21644@Article{	  klocknerbarnettgreengardoneil2013,
21645  title		= {Quadrature by expansion: A new method for the evaluation of layer potentials},
21646  author	= {Andreas Kl{\"o}ckner and Alexander Barnett and Leslie Greengard and Michael
21647		  O'Neil},
21648  journal	= {Journal of Computational Physics},
21649  volume	= {252},
21650  pages		= {332--349},
21651  year		= {2013}
21652}
21653
21654@Article{	  turcksinkronbichlerbangerth2016,
21655  title		= {WorkStream--A Design Pattern for Multicore-Enabled Finite Element Computations},
21656  author	= {Bruno Turcksin and Martin Kronbichler and Wolfgang Bangerth},
21657  journal	= {ACM Transactions on Mathematical Software)},
21658  volume	= {43},
21659  number	= {1},
21660  pages		= {2},
21661  year		= {2016}
21662}
21663
21664@Article{	  vitushkin1954,
21665  title		= {On {Hilbert's} thirteenth problem},
21666  author	= {A. G. Vitushkin},
21667  journal	= {Dokl. Akad. Nauk SSSR},
21668  volume	= {95},
21669  pages		= {701--704},
21670  year		= {1954}
21671}
21672
21673@Article{	  kolmogorov1957,
21674  title		= {On the representation of continuous functions of several variables as
21675		  superpositions of continuous functions of one variable and addition},
21676  author	= {Andrei N. Kolmogorov},
21677  journal	= {Dokl. Akad. Nauk SSSR},
21678  pages		= {953--956},
21679  volume	= {114:5},
21680  note		= {English transl. Amer. Math. Soc. Transl. (2) 28 (1963), 55},
21681  year		= {1957}
21682}
21683
21684@Article{	  fridman1967,
21685  title		= {Improvement in the smoothness of functions in the {Kolmogorov Superposition
21686		  Theorem}},
21687  author	= {B. L. Fridman},
21688  journal	= {Dokl. Akad. Nauk SSR},
21689  volume	= {177:5},
21690  pages		= {1019--1022},
21691  note		= {English transl. Soviet Math. Dokl. 8, 6 (1967), 1550-1553},
21692  year		= {1967}
21693}
21694
21695@Article{	  sprecher1972,
21696  title		= {An improvement in The {Superposition Theorem of Kolmogorov}},
21697  author	= {David Sprecher},
21698  journal	= {Journal of Mathematical Analysis and Applications},
21699  volume	= {38},
21700  pages		= {208--213},
21701  year		= {1972}
21702}
21703
21704@Article{	  diaconisshahshahani1984,
21705  title		= {On nonlinear functions of linear combinations},
21706  author	= {Persi Diaconis and Mehrdad Shahshahani},
21707  journal	= {SIAM Journal on Scientific and Statistical Computing},
21708  volume	= {5},
21709  number	= {1},
21710  pages		= {175--191},
21711  year		= {1984},
21712  publisher	= {SIAM}
21713}
21714
21715@InProceedings{	  hechtnielsen1987,
21716  title		= {Kolmogorov's mapping neural network existence theorem},
21717  author	= {R. Hecht-Nielsen},
21718  booktitle	= {Proceedings of the International Conference on Neural Networks},
21719  volume	= {III},
21720  pages		= {11--14},
21721  publisher	= {IEEE Press},
21722  year		= {1987}
21723}
21724
21725@InProceedings{	  hechtnielsen1989,
21726  title		= {Theory of the back-propagation neural network},
21727  author	= {R. Hecht-Nielsen},
21728  booktitle	= {Proceedings of the International Joint Conference on Neural Networks},
21729  volume	= {I},
21730  pages		= {593--608},
21731  publisher	= {IEEE Press},
21732  year		= {1989}
21733}
21734
21735@Article{	  girosipoggio1989,
21736  title		= {Representation properties of networks: {Kolmogorov's} theorem is irrelevant},
21737  author	= {Federico Girosi and Tomaso Poggio},
21738  journal	= {Neural Computation},
21739  volume	= {1},
21740  number	= {4},
21741  pages		= {465--469},
21742  year		= {1989},
21743  publisher	= {MIT Press}
21744}
21745
21746@InBook{	  koppen2002,
21747  title		= {On the Training of a Kolmogorov Network},
21748  author	= {Mario K\"oppen},
21749  pages		= {474--9},
21750  publisher	= {ICANN 2002, LNCS 2415},
21751  year		= {2002}
21752}
21753
21754@PhDThesis{	  bryant2008,
21755  title		= {Analysis of {Kolmogorov's} superpostion theorem and its implementation in
21756		  applications with low and high dimensional data},
21757  author	= {Donald W Bryant},
21758  school	= {University of Central Florida},
21759  year		= {2008}
21760}
21761
21762@InCollection{	  griebel2006,
21763  title		= {Sparse Grids for Higher Dimensional Problems},
21764  author	= {Michael Griebel},
21765  booktitle	= {Foundations of Computational Mathematics},
21766  editor	= {Luis M. Pardo and Allan Pinkus and Endre Suli and Michael J. Todd},
21767  publisher	= {Cambridge University Press},
21768  pages		= {106--161},
21769  doi		= {10.1017/CBO9780511721571.004},
21770  url		= {https://www.cambridge.org/core/books/foundations-of-computational-mathematics-santander-2005/sparse-grids-for-higher-dimensional-problems/C6E91FFE07DF5F6C069B80805B216B50},
21771  month		= {June},
21772  day		= {29},
21773  year		= {2006}
21774}
21775
21776@Article{	  braungriebel2009,
21777  title		= {On a constructive proof of {Kolmogorov}'s superposition theorem},
21778  author	= {Jurgen Bra\"un and Michael Griebel},
21779  journal	= {Constructive Approximation},
21780  pages		= {653--675},
21781  volume	= {30},
21782  year		= {2009}
21783}
21784
21785@InProceedings{	  lenifougerolletruchetet2009,
21786  title		= {Kolmogorov superposition theorem and its application to wavelet image
21787		  decompositions},
21788  author	= {Pierre-Emmanuel Leni and Yohan D Fougerolle and Fr{\'{e}}d{\'{e}}ric Truchetet},
21789  booktitle	= {Electronic Imaging-Wavelet Applications in Industrial Processing VI, Proceedings
21790		  of the SPIE},
21791  pages		= {724804--724804},
21792  doi		= {10.1117/12.805916},
21793  url		= {http://le2i.cnrs.fr/IMG/publications/2228{\_}main.pdf{\%}5Cnhttp://proceedings.spiedigitallibrary.org/proceeding.aspx?articleid=1335035},
21794  year		= {2009}
21795}
21796
21797@Article{	  oseledets2011,
21798  title		= {Tensor-train decomposition},
21799  author	= {Ivan V Oseledets},
21800  journal	= {SIAM Journal on Scientific Computing},
21801  volume	= {33},
21802  number	= {5},
21803  pages		= {2295--2317},
21804  year		= {2011}
21805}
21806
21807@PhDThesis{	  liu2015,
21808  title		= {Kolmogorov superposition theorem and its applications},
21809  author	= {Xing Liu},
21810  school	= {Imperial College London},
21811  year		= {2015}
21812}
21813
21814@Article{	  lecunbengiohinton2015,
21815  title		= {Deep learning},
21816  author	= {Yann LeCun and Yoshua Bengio and Geoffrey Hinton},
21817  journal	= {Nature},
21818  volume	= {521},
21819  number	= {7553},
21820  pages		= {436--444},
21821  year		= {2015}
21822}
21823
21824@Book{		  trefethen2013,
21825  title		= {Approximation theory and approximation practice},
21826  author	= {Lloyd N Trefethen},
21827  publisher	= {SIAM},
21828  year		= {2013}
21829}
21830
21831@Article{	  butlergrahammattiswalsh2017,
21832  title		= {A measure-theoretic interpretation of sample based numerical integration with
21833		  applications to inverse and prediction problems under uncertainty},
21834  author	= {Troy Butler and Lindsey Graham and S. Mattis and S. Walsh},
21835  journal	= {SIAM Journal on Scientific Computing},
21836  volume	= {39},
21837  number	= {5},
21838  pages		= {A2072--A2098},
21839  year		= {2017}
21840}
21841
21842@Article{	  logg2009,
21843  title		= {Efficient representation of computational meshes},
21844  author	= {Anders Logg},
21845  journal	= {International Journal of Computational Science and Engineering},
21846  volume	= {4},
21847  number	= {4},
21848  pages		= {283--295},
21849  year		= {2009}
21850}
21851
21852@Article{	  agelekandersonbangerthbarth2017,
21853  title		= {On orienting edges of unstructured two-and three-dimensional meshes},
21854  author	= {Rainer Agelek and Michael Anderson and Wolfgang Bangerth and William L Barth},
21855  journal	= {ACM Transactions on Mathematical Software (TOMS)},
21856  volume	= {44},
21857  number	= {1},
21858  pages		= {5},
21859  year		= {2017}
21860}
21861
21862@Article{	  actorknepley2018,
21863  title		= {An Algorithm for Computing {Lipschitz} Inner Functions in {Kolmogorov's
21864		  Superposition Theorem}},
21865  author	= {Jonas Actor and Matthew G. Knepley},
21866  journal	= {SIAM Journal on Numerical Analysis},
21867  note		= {In review},
21868  url		= {},
21869  year		= {2018}
21870}
21871
21872@Book{		  driscollhaletrefethen2014,
21873  title		= {Chebfun guide},
21874  author	= {Tobin A Driscoll and Nicholas Hale and Lloyd N Trefethen},
21875  publisher	= {Pafnuty Publications, Oxford},
21876  year		= {2014}
21877}
21878
21879@Article{	  johntobiska2000,
21880  title		= {Numerical performance of smoothers in coupled multigrid methods for the parallel
21881		  solution of the incompressible Navier-Stokes equations},
21882  author	= {Volker John and Lutz Tobiska},
21883  journal	= {International Journal for Numerical Methods in Fluids},
21884  volume	= {33},
21885  number	= {4},
21886  pages		= {453--473},
21887  year		= {2000}
21888}
21889
21890@Article{	  vanka1986,
21891  title		= {Block-implicit multigrid calculation of two-dimensional recirculating flows},
21892  author	= {S. P. Vanka},
21893  journal	= {Computer Methods in Applied Mechanics and Engineering},
21894  volume	= {59},
21895  number	= {1},
21896  pages		= {29--48},
21897  year		= {1986}
21898}
21899
21900@Article{	  bartelgunther2018,
21901  author	= {Andreas Bartel and Michael G\"unther},
21902  title		= {{PDAEs} in refined electrical network modeling},
21903  journal	= {SIAM Review},
21904  volume	= {60},
21905  number	= {1},
21906  pages		= {56--91},
21907  doi		= {10.1137/17M1113643},
21908  year		= {2018}
21909}
21910
21911@Article{	  matpower,
21912  author	= {Ray D. Zimmerman and Carlos E. Murillo-S{\'a}nchez and Robert J. Thomas},
21913  title		= {{MATPOWER}: Steady-state operations, planning and analysis tools for power
21914		  systems research and education},
21915  journal	= {IEEE Transactions on Power Systems},
21916  volume	= {26},
21917  number	= {1},
21918  pages		= {12--19},
21919  year		= {2011},
21920  doi		= {10.1109/TPWRS.2010.2051168}
21921}
21922
21923@Article{	  betrieyan2018,
21924  author	= {G. Betrie and E. Yan},
21925  title		= {Development and Verification of Thermoelectric Power Plant Model for Assessing
21926		  Energy and Water Nexus},
21927  journal	= {Applied Energy, Submitted},
21928  volume	= {},
21929  number	= {},
21930  pages		= {},
21931  doi		= {},
21932  year		= {2018}
21933}
21934
21935@Article{	  faeth2012,
21936  author	= {P. Faeth},
21937  title		= {{U.S.} Energy Security and Water: The Challenges We Face},
21938  journal	= {Environment: Science and Policy for Sustainable Development},
21939  volume	= {54(1)},
21940  number	= {1},
21941  pages		= {4--19},
21942  year		= {2012},
21943  doi		= {10.1080/00139157.2012.639595}
21944}
21945
21946@InProceedings{	  hagberg2008,
21947  title		= {Exploring network structure, dynamics, and function using {NetworkX}},
21948  author	= {Hagberg, Aric A. and Schult, Daniel A. and Swart, Pieter J.},
21949  booktitle	= {Proceedings of the 7th Python in Science Conference (SciPy2008), Ga\"{e}l
21950		  Varoquaux, Travis Vaught, and Jarrod Millman (Eds), (Pasadena, CA USA)},
21951  year		= {2008},
21952  pages		= {11--15}
21953}
21954
21955@Misc{		  simulink-web-page,
21956  author	= {Mathworks},
21957  title		= {{SIMULINK} web page},
21958  note		= {\url{https://www.mathworks.com/products/simulink.html}},
21959  year		= {2017}
21960}
21961
21962@Misc{		  labview-web-page,
21963  author	= {National Instruments},
21964  title		= {{LabVIEW} web page},
21965  note		= {\url{http://www.ni.com/labview/}},
21966  key		= {labview},
21967  year		= {2017}
21968}
21969
21970@Misc{		  modelica-web-page,
21971  author	= {Modelica Association},
21972  title		= {Modelica web page},
21973  note		= {\url{https://www.modelica.org/}},
21974  year		= {2017}
21975}
21976
21977@InProceedings{	  yangsc16,
21978  author	= {C. Yang and W. Xue and H. Fu and H. You and X. Wang and Y. Ao and F. Liu and L.
21979		  Gan and P. Xu and L. Wang and G. Yang and W. Zheng},
21980  booktitle	= {{SC '16}: Proceedings of the International Conference for High Performance
21981		  Computing, Networking, Storage and Analysis},
21982  title		= {{10M-Core} Scalable Fully-Implicit Solver for Nonhydrostatic Atmospheric
21983		  Dynamics},
21984  note		= {Gordon Bell Award},
21985  year		= {2016}
21986}
21987
21988@InProceedings{	  bekassc15,
21989  author	= {C. Bekas and A. Curioni and O. Ghattas and M. Gurnis and Y. Ineichen and T. Isaac
21990		  and C. Malossi and J. Rudi and G. Stadler and P.W.J. Staar},
21991  booktitle	= {{SC '15}: Proceedings of the International Conference for High Performance
21992		  Computing, Networking, Storage and Analysis},
21993  title		= {An Extreme-Scale Implicit Solver for Complex {PDEs}: Highly Heterogeneous Flow in
21994		  Earth's Mantle},
21995  note		= {Gordon Bell Award},
21996  year		= {2015}
21997}
21998
21999@Misc{		  improving-software-whitepaper2017,
22000  author	= {M. Heroux and L.C. McInnes},
22001  title		= {Improving and accelerating scientific discovery through better software},
22002  note		= {whitepaper for 2017 ASCR Applied Mathematics PI Meeting},
22003  doi		= {10.6084/m9.figshare.5339692},
22004  year		= {2017}
22005}
22006
22007@Misc{		  doe:40thanniversarycollection,
22008  title		= {{DOE Office of Science} 40th anniversary collection of 40 major papers that have
22009		  changed the face of science},
22010  key		= {Department of Energy, Office of Science},
22011  howpublished	= {\url{https://science.energy.gov/news/doe-science-at-40}},
22012  year		= {2017}
22013}
22014
22015@Misc{		  siam:fellowsprogram,
22016  title		= {{Society for Industrial and Applied Mathematics, Fellows Program}},
22017  key		= {SIAM},
22018  howpublished	= {\url{http://www.siam.org/prizes/fellows}}
22019}
22020
22021@Misc{		  r-and-d100:awards2009,
22022  title		= {{R\&D100 Award Winners 2009}},
22023  key		= {{R\&D100 Award Winners 2009}},
22024  howpublished	= {\url{https://www.rdmag.com/2009/08/2009-r-d-100-award-winners}}
22025}
22026
22027@Misc{		  xsdk:website,
22028  title		= {{xSDK: Extreme-scale Scientific Software Development Kit}},
22029  key		= {xSDK: Extreme-scale Scientific Software Development Kit},
22030  howpublished	= {\url{https://xsdk.info}}
22031}
22032
22033@Misc{		  xsdk-community-installation-policies2017,
22034  title		= {{xSDK} Community Installation Policies: {GNU Autoconf} and {CMake} Options},
22035  author	= {R. Bartlett and J. Sarich and B. Smith and T. Gamblin and {xSDK developers}},
22036  note		= {version 0.3, November 7, 2017},
22037  doi		= {10.6084/m9.figshare.4495133},
22038  year		= {2017}
22039}
22040
22041@Misc{		  xsdk-community-package-policies2017,
22042  title		= {{xSDK} Community Package Policies},
22043  author	= {B. Smith and R. Bartlett and {xSDK developers}},
22044  note		= {version 0.3, November 7, 2017},
22045  doi		= {10.6084/m9.figshare.4495136},
22046  year		= {2017}
22047}
22048
22049@Misc{		  ideas-what-are-interoperable-libraries,
22050  title		= {What Are Interoperable Software Libraries: Introducing the {xSDK}},
22051  author	= {Lois Curfman McInnes and Michael A. Heroux and Xiaoye Li and Barry Smith and
22052		  Ulrike Yang and {all xSDK developers}},
22053  note		= {IDEAS {\em WhatIs} document, version 0.2, April 25, 2016, available via
22054		  \url{https://ideas-productivity.org/resources/howtos/}},
22055  year		= {2016}
22056}
22057
22058@Misc{		  ideas-productivity:website,
22059  title		= {{IDEAS Scientific Software Productivity Project}},
22060  key		= {IDEAS Scientific Software Productivity Project},
22061  howpublished	= {\url{https://ideas-productivity.org}}
22062}
22063
22064@Misc{		  ecp:website,
22065  key		= {{U.S. DOE Exascale Computing Project (ECP)}},
22066  title		= {{U.S. DOE Exascale Computing Project (ECP)}},
22067  note		= {\url{https://exascaleproject.org}},
22068  year		= {2018}
22069}
22070
22071@Misc{		  siam-cse-jan2018,
22072  author	= {Ulrich R\"{u}de and Karen Willcox and Lois Curfman McInnes and Hans {De Sterck}
22073		  and George Biros and Hans Bungartz and James Corones and Evin Cramer and James
22074		  Crowley and Omar Ghattas and Max Gunzburger and Michael Hanke and Robert Harrison
22075		  and Michael Heroux and Jan Hesthaven and Peter Jimack and Chris Johnson and Kirk
22076		  E. Jordan and David E. Keyes and Rolf Krause and Vipin Kumar and Stefan Mayer and
22077		  Juan Meza and Knut Martin M{\o}rken and J. Tinsley Oden and Linda Petzold and
22078		  Padma Raghavan and Suzanne M. Shontz and Anne Trefethen and Peter Turner and
22079		  Vladimir Voevodin and Barbara Wohlmuth and Carol S. Woodward},
22080  title		= {Research and Education in Computational Science and Engineering},
22081  note		= {available via \url{https://arxiv.org/abs/1610.02608}, to appear in {\em SIAM
22082		  Review}},
22083  year		= {2018}
22084}
22085
22086@Misc{		  doe-appliedmathpimeeting2017,
22087  author	= {Jeff Hittinger and Lois Curfman McInnes and Abani Patra and Nathan Baker and
22088		  Miranda Holmes-Cerfon and Barney Maccabe and Esmong Ng and Pieter Swart and Karen
22089		  Willcox and Steven Lee},
22090  title		= {{Report on the 2017 ASCR Applied Mathematics Principal Investigators Meeting}},
22091  note		= {\url{http://www.orau.gov/ascr-appliedmath-pi2017}},
22092  year		= {2017}
22093}
22094
22095@Misc{		  doe-fusionintegratedsimulationsworkshopreport2015,
22096  author	= {P. Bonoli and L. C. {McInnes (Chairs)}},
22097  title		= {{Report on the DOE Workshop on Integrated Simulations for Magnetic Fusion Energy
22098		  Sciences}},
22099  note		= {available via
22100		  \url{http://science.energy.gov/~/media/fes/pdf/workshop-reports/2016/ISFusionWorkshopReport_11-12-2015.pdf}},
22101  year		= {2015}
22102}
22103
22104@Misc{		  sisc-specialissueintro,
22105  title		= {Introduction to {SISC} Special section associated with {CSE15} on {'CSE
22106		  Software'} and {'Big Data in CSE'}},
22107  author	= {H. {De Sterck} and C. Johnson and L.C. McInnes},
22108  month		= {November},
22109  year		= {2016},
22110  journal	= {SIAM J. Sci. Comput.},
22111  doi		= {10.1137/16N974188}
22112}
22113
22114@Article{	  xsdk-foundations2017,
22115  title		= {{xSDK} Foundations: Toward an Extreme-scale Scientific Software Development Kit},
22116  author	= {R. Bartlett and I. Demeshko and T. Gamblin and G. Hammond and M. Heroux and J.
22117		  Johnson and A. Klinvex and X. Li and L.C. McInnes and J.D. Moulton and D.
22118		  Osei-Kuffuor and J. Sarich and B. Smith and J. Willenbring and U.M. Yang},
22119  journal	= {Supercomputing Frontiers and Innovations},
22120  month		= {February},
22121  year		= {2017},
22122  note		= {available via \url{https://arxiv.org/abs/1702.08425}}
22123}
22124
22125@Misc{		  deal.ii:website,
22126  title		= {{{deal.II}: An open-source finite element library}},
22127  author	= {Wolfgang Bangerth and others},
22128  howpublished	= {\url{http://www.dealii.org}},
22129  year		= {2018}
22130}
22131
22132@Misc{		  fission-gas-scidac:website,
22133  title		= {{Simulation of Fission Gas in Uranium Oxide Nuclear Fuel}},
22134  author	= {A. David {Andersson (PI)}},
22135  howpublished	= {SciDAC project, \url{https://collab.cels.anl.gov/display/FissionGasSciDAC2}},
22136  year		= {2018}
22137}
22138
22139@Misc{		  tokamak-disruption-scidac:project,
22140  title		= {{Tokamak Disruption Simulation}},
22141  author	= {Xianzhu {Tang (PI)}},
22142  howpublished	= {SciDAC project},
22143  year		= {2018}
22144}
22145
22146@InProceedings{	  duplyakin2018memory,
22147  title		= {Evaluating Active Learning with Cost and Memory Awareness},
22148  author	= {Duplyakin, Dmitry and Brown, Jed and Calhoun, Donna},
22149  booktitle	= {2018 IEEE International Parallel and Distributed Processing Symposium (IPDPS)},
22150  pages		= {214--223},
22151  year		= {2018},
22152  organization	= {IEEE},
22153  pdf		= {https://jedbrown.org/files/DuplyakinBrownCalhoun-ActiveLearningCostMemoryAware-2018.pdf}
22154}
22155
22156@InProceedings{	  duplyakin2016active,
22157  author	= {Dmitry Duplyakin and Jed Brown and Robert Ricci},
22158  title		= {Active Learning in Performance Analysis},
22159  booktitle	= {Proceedings of the IEEE Cluster Conference},
22160  year		= {2016},
22161  month		= sep,
22162  url		= {http://www.flux.utah.edu/paper/duplyakin-cluster16},
22163  pdf		= {https://jedbrown.org/files/DuplyakinBrownRicci-ActiveLearningPerformanceAnalysis-2016.pdf}
22164}
22165
22166@Misc{		  xgc1:website,
22167  title		= {{XGC1 project website}},
22168  author	= {C. S. Chang and others},
22169  howpublished	= {\url{https://epsi.pppl.gov/computing/xgc-1}},
22170  year		= {2018}
22171}
22172
22173@Misc{		  wdmapp-bhattacharjee-ecp:website,
22174  title		= {{WDMApp: High-Fidelity Whole Device Modeling of Magnetically Confined Fusion
22175		  Plasmas}},
22176  author	= {A. Bhattacharjee and others},
22177  note		= {ECP application project},
22178  howpublished	= {\url{https://www.exascaleproject.org/activity/energy-applications}},
22179  year		= {2018}
22180}
22181
22182@Misc{		  subsurface-steefel-ecp:website,
22183  title		= {{Subsurface: Exascale Subsurface Simulator of Coupled Flow, Transport, Reactions,
22184		  and Mechanics}},
22185  note		= {ECP application project},
22186  author	= {C. Steefel and others},
22187  howpublished	= {\url{https://www.exascaleproject.org/activity/earth-space-science-applications}},
22188  year		= {2018}
22189}
22190
22191@Article{	  chombo-crunch:2014,
22192  title		= {High-Resolution Simulation of Pore-Scale Reactive Transport Processes Associated
22193		  with Carbon Sequestration},
22194  author	= {D. Trebotich and M. F. Adams and S. Molins and C. Steefel and C. Shen},
22195  journal	= {Computing in Science and Engineering},
22196  volume	= {16},
22197  issue		= {6},
22198  year		= {2014},
22199  pages		= {22--31},
22200  doi		= {10.1109/MCSE.2014.77}
22201}
22202
22203@Article{	  courantfriedrichslewy1967,
22204  title		= {On the partial difference equations of mathematical physics},
22205  author	= {Richard Courant and Kurt Friedrichs and Hans Lewy},
22206  journal	= {IBM journal of Research and Development},
22207  volume	= {11},
22208  number	= {2},
22209  pages		= {215--234},
22210  year		= {1967},
22211  publisher	= {IBM}
22212}
22213
22214@Article{	  erway2017solving,
22215  title		= {On solving large-scale limited-memory quasi-Newton equations},
22216  author	= {Erway, Jennifer B and Marcia, Roummel F},
22217  journal	= {Linear Algebra and its Applications},
22218  volume	= {515},
22219  pages		= {196--225},
22220  year		= {2017},
22221  publisher	= {Elsevier}
22222}
22223
22224@Article{	  griewank2012broyden,
22225  title		= {Broyden updating, the good and the bad!},
22226  author	= {Griewank, Andreas},
22227  journal	= {Optimization Stories, Documenta Mathematica. Extra Volume: Optimization Stories},
22228  pages		= {301--315},
22229  year		= {2012}
22230}
22231
22232@Book{		  tarantola2005,
22233  title		= {Inverse problem theory and methods for model parameter estimation},
22234  author	= {Albert Tarantola},
22235  volume	= {89},
22236  year		= {2005},
22237  publisher	= {SIAM}
22238}
22239
22240@Article{	  rutkaikristof2010,
22241  title		= {Dynamic Monte Carlo simulation in mixtures},
22242  author	= {G{\'a}bor Rutkai and Tam{\'a}s Krist{\'o}f},
22243  journal	= {The Journal of Chemical Physics},
22244  volume	= {132},
22245  number	= {10},
22246  pages		= {104107},
22247  year		= {2010},
22248  publisher	= {AIP}
22249}
22250
22251@Book{		  vogel2002,
22252  title		= {Computational methods for inverse problems},
22253  author	= {Curtis R Vogel},
22254  volume	= {23},
22255  year		= {2002},
22256  publisher	= {SIAM}
22257}
22258
22259@Article{	  malqvistpeterseim2014,
22260  title		= {Localization of elliptic multiscale problems},
22261  author	= {Axel M{\aa}lqvist and Daniel Peterseim},
22262  journal	= {Mathematics of Computation},
22263  volume	= {83},
22264  number	= {290},
22265  pages		= {2583--2603},
22266  year		= {2014}
22267}
22268
22269@Article{	  brandtbrannickkahllivshits2011,
22270  title		= {Bootstrap {AMG}},
22271  author	= {Achi Brandt and James Brannick and Karsten Kahl and Irene Livshits},
22272  journal	= {SIAM Journal on Scientific Computing},
22273  volume	= {33},
22274  number	= {2},
22275  pages		= {612--632},
22276  year		= {2011}
22277}
22278
22279@InProceedings{	  barralalauzet2014,
22280  title		= {Large displacement body-fitted {FSI} simulations using a mesh-connectivity-change
22281		  moving mesh strategy},
22282  author	= {Nicolas Barral and Fr{\'e}d{\'e}ric Alauzet},
22283  booktitle	= {44th AIAA Fluid Dynamics Conference},
22284  pages		= {2773},
22285  year		= {2014}
22286}
22287
22288@InProceedings{	  barralalauzetloseille2015,
22289  title		= {Metric-based anisotropic mesh adaptation for three-dimensional time-dependent
22290		  problems involving moving geometries},
22291  author	= {Nicolas Barral and Fr{\'e}d{\'e}ric Alauzet and Adrien Loseille},
22292  booktitle	= {53rd AIAA Aerospace Sciences Meeting},
22293  pages		= {2039},
22294  year		= {2015}
22295}
22296
22297@Article{	  barralolivieralauzet2017,
22298  title		= {Time-accurate anisotropic mesh adaptation for three-dimensional time-dependent
22299		  problems with body-fitted moving geometries},
22300  author	= {Nicolas Barral and G{\'e}raldine Olivier and Fr{\'e}d{\'e}ric Alauzet},
22301  journal	= {Journal of Computational Physics},
22302  volume	= {331},
22303  pages		= {157--187},
22304  year		= {2017}
22305}
22306
22307@Article{	  ibanezbarralkrakosloseillemichalpark2017,
22308  title		= {First Benchmark of the Unstructured Grid Adaptation Working Group},
22309  author	= {Daniel Ibanez and Nicolas Barral and Joshua Krakos and Adrien Loseille and Todd
22310		  Michal and Mike Park},
22311  journal	= {Procedia engineering},
22312  volume	= {203},
22313  pages		= {154--166},
22314  year		= {2017}
22315}
22316
22317@InProceedings{	  parkbarralibanezkamenetskiykrakosmichalloseille2018,
22318  title		= {Unstructured Grid Adaptation and Solver Technology for Turbulent Flows},
22319  author	= {Michael A Park and Nicolas Barral and Daniel Ibanez and Dmitry S Kamenetskiy and
22320		  Joshua A Krakos and Todd R Michal and Adrien Loseille},
22321  booktitle	= {2018 AIAA Aerospace Sciences Meeting},
22322  pages		= {1103},
22323  year		= {2018}
22324}
22325
22326@InProceedings{	  barralangeloudiskramergormanpiggott2018,
22327  title		= {An anisotropic mesh adaptation approach for regional tidal energy hydrodynamics
22328		  modelling},
22329  author	= {Nicolas Barral and Athanasios Angeloudis and Stephan C Kramer and Gerard J Gorman
22330		  and Matthew D Piggott},
22331  booktitle	= {EGU General Assembly Conference Abstracts},
22332  volume	= {20},
22333  pages		= {19168},
22334  year		= {2018}
22335}
22336
22337@Article{	  principe2009,
22338  title		= {{Mathematical models for thermally coupled low speed flows}},
22339  author	= {Javier Principe and Ramon Codina},
22340  journal	= {Advances in Theoretical and Applied Mechanics},
22341  volume	= {2},
22342  number	= {1-4},
22343  pages		= {93--112},
22344  url		= {http://www.m-hikari.com/atam/atam2009/atam1-4-2009/principeATAM1-4-2009.pdf},
22345  year		= {2009}
22346}
22347
22348@Book{		  vandervorst2003,
22349  title		= {Iterative {K}rylov Methods for Large Linear Systems},
22350  author	= {van der Vorst, H.},
22351  isbn		= {9780521818285},
22352  publisher	= {Cambridge University Press},
22353  year		= {2003}
22354}
22355
22356@Book{		  peres2006,
22357  author	= {Asher Peres},
22358  title		= {Quantum theory: concepts and methods},
22359  volume	= {57},
22360  publisher	= {Springer Science \& Business Media},
22361  year		= {2006}
22362}
22363
22364@Book{		  kuttler2012,
22365  title		= {Linear algebra: theory and applications},
22366  author	= {Kenneth Kuttler},
22367  url		= {http://www.math.byu.edu/~klkuttle/Linearalgebra.pdf},
22368  year		= {2012}
22369}
22370
22371@Book{		  elman_silvester_wathen_2014,
22372  place		= {Oxford},
22373  title		= {Finite elements and fast iterative solvers: with applications in incompressible
22374		  fluid dynamics},
22375  publisher	= {Oxford University Press},
22376  author	= {Elman, Howard C. and Silvester, David J. and Wathen, Andrew J.},
22377  url		= {https://global.oup.com/academic/product/finite-elements-and-fast-iterative-solvers-9780199678792?cc=us&lang=en&},
22378  year		= {2014}
22379}
22380
22381@Article{	  alametal2007,
22382  title		= {An evaluation of the ORNL Cray XT3},
22383  author	= {S. R. Alam and R. F. Barrett and M. R. Fahey and J. A. Kuehn and O. E. B. Messer
22384		  and R. T. Mills and P. C. Roth and J. S. Vetter and P. H. Worley},
22385  journal	= {International Journal of High Performance Computing Applications},
22386  volume	= {22},
22387  number	= {1},
22388  pages		= {52--80},
22389  doi		= {10.1177/1094342007085019},
22390  year		= {2007}
22391}
22392
22393@Article{	  plazacarey2000,
22394  title		= {Local refinement of simplicial grids based on the skeleton},
22395  author	= {Plaza, A. and Carey, Graham F.},
22396  journal	= {Applied Numerical Mathematics},
22397  doi		= {10.1016/S0168-9274(99)00022-7},
22398  issn		= {01689274},
22399  volume	= {32},
22400  number	= {2},
22401  pages		= {195--218},
22402  year		= {2000}
22403}
22404
22405@Article{	  carsonstrakos2020,
22406  title		= {On the cost of iterative computations},
22407  author	= {Eric Carson and Zden\v{e}k Strako\v{s}},
22408  journal	= {Phil. Trans. R. Soc. A},
22409  volume	= {378},
22410  number	= {20190050},
22411  doi		= {10.1098/rsta.2019.0050},
22412  url		= {https://royalsocietypublishing.org/doi/full/10.1098/rsta.2019.0050},
22413  year		= {2020}
22414}
22415
22416@Article{	  schoberl1999,
22417  title		= {Multigrid methods for a parameter dependent problem in primal variables},
22418  author	= {Joachim Sch{\"o}berl},
22419  journal	= {Numerische Mathematik},
22420  volume	= {84},
22421  number	= {1},
22422  pages		= {97--119},
22423  year		= {1999}
22424}
22425
22426@Article{	  wuleexuzikatanov2008,
22427  title		= {Convergence analysis on iterative methods for semidefinite systems},
22428  author	= {Jinbiao Wu and Young-Ju Lee and Jinchao Xu and Ludmil Zikatanov},
22429  journal	= {Journal of Computational Mathematics},
22430  pages		= {797--815},
22431  year		= {2008}
22432}
22433
22434@Article{	  maierrannacher2016,
22435  title		= {Duality-based adaptivity in finite element discretization of heterogeneous
22436		  multiscale problems},
22437  author	= {Maier, Matthias and Rannacher, Rolf},
22438  journal	= {Journal of Numerical Mathematics},
22439  volume	= {24},
22440  number	= {3},
22441  pages		= {167--187},
22442  year		= {2016}
22443}
22444
22445@Article{	  maierrannacher2018,
22446  title		= {A duality-based optimization approach for model adaptivity in heterogeneous
22447		  multiscale problems},
22448  author	= {Maier, Matthias and Rannacher, Rolf},
22449  journal	= {Multiscale Modeling \& Simulation},
22450  volume	= {16},
22451  number	= {1},
22452  pages		= {412--428},
22453  year		= {2018}
22454}
22455
22456@Article{	  margetismaierluskin2017,
22457  title		= {On the Wiener--Hopf method for surface plasmons: Diffraction from semiinfinite
22458		  metamaterial sheet},
22459  author	= {Margetis, Dionisios and Maier, Matthias and Luskin, Mitchell},
22460  journal	= {Studies in Applied Mathematics},
22461  volume	= {139},
22462  number	= {4},
22463  pages		= {599--625},
22464  year		= {2017}
22465}
22466
22467@Article{	  maiermargetisluskin2017b,
22468  title		= {Dipole excitation of surface plasmon on a conducting sheet: Finite element
22469		  approximation and validation},
22470  author	= {Maier, Matthias and Margetis, Dionisios and Luskin, Mitchell},
22471  journal	= {Journal of Computational Physics},
22472  volume	= {339},
22473  pages		= {126--145},
22474  year		= {2017}
22475}
22476
22477@Article{	  maiermargetisluskin2018,
22478  title		= {Generation of surface plasmon-polaritons by edge effects},
22479  author	= {Matthias Maier and Dionisios Margetis and Mitchell Luskin},
22480  journal	= {Communications in Mathematical Sciences},
22481  volume	= {16},
22482  number	= {1},
22483  pages		= {77--95},
22484  url		= {http://arxiv.org/abs/1702.00848},
22485  year		= {2018}
22486}
22487
22488@Article{	  maiermattheakiskaxirasluskinmargetis2018,
22489  title		= {Universal behavior of a dispersive Dirac cone in gradient-index plasmonic
22490		  metamaterials},
22491  author	= {Maier, Matthias and Mattheakis, Marios and Kaxiras, Efthimios and Luskin,
22492		  Mitchell and Margetis, Dionisios},
22493  journal	= {Physical Review B},
22494  volume	= {97},
22495  number	= {3},
22496  pages		= {035307},
22497  year		= {2018}
22498}
22499
22500@Article{	  maiermattheakiskaxirasluskinmargetis2019,
22501  title		= {Homogenization of plasmonic crystals: seeking the epsilon-near-zero effect},
22502  author	= {Maier, Matthias and Mattheakis, Marios and Kaxiras, Efthimios and Luskin,
22503		  Mitchell and Margetis, Dionisios},
22504  journal	= {Proceedings of the Royal Society A},
22505  volume	= {475},
22506  number	= {2230},
22507  pages		= {20190220},
22508  year		= {2019}
22509}
22510
22511@Article{	  maiermargetisluskin2020,
22512  title		= {Finite-size effects in wave transmission through plasmonic crystals: A tale of
22513		  two scales},
22514  author	= {Maier, Matthias and Luskin, Mitchell and Margetis, Dionisios},
22515  journal	= {Physical Review B},
22516  volume	= {102},
22517  number	= {7},
22518  pages		= {075308},
22519  year		= {2020}
22520}
22521
22522@Article{	  margetismaierstauberlowluskin2020,
22523  title		= {Nonretarded edge plasmon-polaritons in anisotropic two-dimensional materials},
22524  author	= {Margetis, Dionisios and Maier, Matthias and Stauber, Tobias and Low, Tony and
22525		  Luskin, Mitchell},
22526  journal	= {Journal of Physics A: Mathematical and Theoretical},
22527  volume	= {53},
22528  number	= {5},
22529  pages		= {055201},
22530  year		= {2020}
22531}
22532
22533@Article{	  maiermargetismellet2020,
22534  title		= {Homogenization of time-harmonic Maxwell’s equations in nonhomogeneous plasmonic
22535		  structures},
22536  author	= {Maier, Matthias and Margetis, Dionisios and Mellet, Antoine},
22537  journal	= {Journal of Computational and Applied Mathematics},
22538  volume	= {377},
22539  pages		= {112909},
22540  year		= {2020}
22541}
22542
22543@Article{	  maierkronbichler2021,
22544  title		= {Efficient parallel 3D computation of the compressible Euler equations with an
22545		  invariant-domain preserving second-order finite-element scheme},
22546  author	= {Maier, Matthias and Kronbichler, Martin},
22547  journal	= {ACM Transactions on Parallel Computing},
22548  volume	= {8},
22549  number	= {3},
22550  pages		= {1--30},
22551  year		= {2021}
22552}
22553
22554@Article{	  guermondmaierpopovtomas2021,
22555  title		= {Second-order invariant domain preserving approximation of the compressible
22556		  Navier--Stokes equations},
22557  author	= {Guermond, Jean-Luc and Maier, Matthias and Popov, Bojan and Tomas, Ignacio},
22558  journal	= {Computer Methods in Applied Mechanics and Engineering},
22559  volume	= {375},
22560  pages		= {113608},
22561  year		= {2021}
22562}
22563
22564@Article{	  liliptonmaier2021,
22565  title		= {Lorentz Resonance in the Homogenization of Plasmonic Crystals},
22566  author	= {Li, Wei and Lipton, Robert and Maier, Matthias},
22567  eprint	= {2009.12166},
22568  archiveprefix	= {arXiv},
22569  primaryclass	= {phys.optics},
22570  year		= {2021}
22571}
22572
22573@Article{	  songmaierluskin2020,
22574  title		= {Nonlinear eigenvalue problems for coupled Helmholtz equations modeling
22575		  gradient-index graphene waveguides},
22576  author	= {Song, Jung Heon and Maier, Matthias and Luskin, Mitchell},
22577  journal	= {Journal of Computational Physics},
22578  volume	= {423},
22579  pages		= {109871},
22580  year		= {2020}
22581}
22582
22583@Article{	  songmaierluskin2019,
22584  title		= {Adaptive finite element simulations of waveguide configurations involving
22585		  parallel 2D material sheets},
22586  author	= {Song, Jung Heon and Maier, Matthias and Luskin, Mitchell},
22587  journal	= {Computer Methods in Applied Mechanics and Engineering},
22588  volume	= {351},
22589  pages		= {20--34},
22590  year		= {2019}
22591}
22592
22593%
22594%  <a name="consults"></a><H3><center>Users Who have Visited ANL for Consulting on PETSc</center></H3>
22595%
22596%
22597@Unpublished{	  rob1,
22598  author	= {Rob Kunz},
22599  institution	= {Computational Mechanics Division, Applied Research Laboratory, The Pennsylvania
22600		  State University},
22601  url		= {http://www.arl.psu.edu/areas/compmech/compmech.html},
22602  sponsors	= {U.S. Navy, NRC},
22603  note		= {Using the PETSc and hypre linear solvers to solve pressure equations in CFD
22604		  simulations, including lake warming by power plants},
22605  dates		= {Oct 3 and 4, 2002},
22606  email		= {rfk@wt.arl.psu.edu}
22607}
22608
22609@Unpublished{	  au1,
22610  author	= {Feng Wang and William Appelbe},
22611  institution	= {VPAC, Victorian Partnership for Advanced Computing, Melbourne, Australia},
22612  url		= {http://www.vpac.org},
22613  sponsors	= { },
22614  note		= {Using PETSc for a Variety of Geophysical Simulations},
22615  dates		= {Nov 22, 2002}
22616}
22617
22618@Unpublished{	  carl1,
22619  author	= {Carl Sovinec},
22620  institution	= {Applied Physics, University of Wisconsin},
22621  url		= {http://nimrodteam.org},
22622  sponsors	= {DOE Office of Fusion Research},
22623  note		= {Investigating using PETSc for NIMROD},
22624  dates		= {Nov 21, 2002},
22625  email		= {sovinec@engr.wisc.edu}
22626}
22627
22628@Unpublished{	  au1b,
22629  author	= {Pablo Carrica and Robert Wilson},
22630  institution	= {INSTITUTE HYDRAULIC RESEARCH, University of Iowa},
22631  url		= {http://},
22632  sponsors	= {Office of Naval Research},
22633  note		= {Using PETSc for a hydrodynamics of ships and submarines},
22634  dates		= {Sept, 2002},
22635  email		= {pablo-carrica@uiowa.edu and robert-wilson@uiowa.edu}
22636}
22637
22638% ------------------- TAO References ----------------------
22639@Article{	  benson:2001:csp,
22640  author	= {Steven J. Benson and Lois Curfman McInnes and Jorge J. More'},
22641  title		= {A Case Study in the Performance and Scalability of Optimization Algorithms},
22642  journal	= {{ACM} Transactions on Mathematical Software},
22643  volume	= {27},
22644  number	= {3},
22645  month		= sep,
22646  year		= {2001},
22647  pages		= {361--376}
22648}
22649
22650@TechReport{	  tao-user-ref-2000,
22651  author	= {Steve Benson and Lois Curfman McInnes and Jorge Mor\'{e}},
22652  title		= {{TAO} Users Manual},
22653  year		= {2000},
22654  institution	= {Mathematics and Computer Science Division, Argonne National Laboratory},
22655  number	= {ANL/MCS-TM-242},
22656  note		= {See \url{http://www.mcs.anl.gov/tao}}
22657}
22658
22659% ------------------- Optimization References ----------------------
22660@Book{		  optguide93,
22661  title		= {Optimization Software Guide},
22662  author	= {Jorge J. Mor\'{e} and Stephen J. Wright},
22663  publisher	= {SIAM Publications},
22664  address	= {Philadelphia},
22665  year		= {1993}
22666}
22667
22668@InProceedings{	  more84,
22669  author	= {Jorge J. Mor\'{e} and Danny C. Sorenson and Burton S. Garbow and Kenneth E.
22670		  Hillstrom},
22671  title		= {The {MINPACK} Project},
22672  booktitle	= {Sources and Development of Mathematical Software},
22673  editor	= {Wayne R. Cowell},
22674  year		= {1984},
22675  pages		= {88--111}
22676}
22677
22678@Article{	  steihaug:83,
22679  author	= {Trond Steihaug},
22680  title		= {The Conjugate Gradient Method and Trust Regions in Large Scale Optimization},
22681  journal	= {SIAM J. Numer. Anal.},
22682  volume	= {20},
22683  year		= {1983},
22684  pages		= {626--637},
22685  key		= {steihaug92 ! trust_region}
22686}
22687
22688@TechReport{	  minpack2test,
22689  author	= {Brett M. Averick and Richard G. Carter and Jorge J. Mor\'{e}},
22690  title		= {The {MINPACK-2} Test Problem Collection},
22691  institution	= {Argonne National Laboratory},
22692  year		= {1991},
22693  number	= {ANL/MCS-TM-150},
22694  key		= {more91 ! MINPACK-2}
22695}
22696
22697@TechReport{	  hohmann:94,
22698  author	= {Andreas Hohmann},
22699  title		= {Object Oriented Design of Multilevel {N}ewton and Continuation Methods},
22700  institution	= {Konrad-Zuse-Zentrum fur Informationstechnik Berlin},
22701  year		= {1994},
22702  number	= {SC-94-4},
22703  key		= {Hohmann94}
22704}
22705
22706@TechReport{	  meza:94,
22707  author	= {Juan C. Meza},
22708  title		= {{OPT}++: An Object-Oriented Class Library for Nonlinear Optimization},
22709  institution	= {Sandia National Laboratory},
22710  year		= {1994},
22711  number	= {SAND94-8225},
22712  key		= {Meza94}
22713}
22714
22715@Book{		  nw99,
22716  author	= {Jorge Nocedal and Stephen J. Wright},
22717  title		= {Numerical Optimization},
22718  year		= {1999},
22719  publisher	= {Springer-Verlag},
22720  address	= {New York}
22721}
22722
22723@Book{		  dennis:83,
22724  author	= {J. E. {Dennis Jr.} and Robert B. Schnabel},
22725  title		= {Numerical Methods for Unconstrained Optimization and Nonlinear Equations},
22726  publisher	= {Prentice-Hall, Inc.},
22727  address	= {Englewood Cliffs, NJ},
22728  year		= {1983}
22729}
22730
22731@TechReport{	  more:92,
22732  author	= {Jorge J. Mor\'{e} and David Thuente},
22733  title		= {Line search algorithms with guaranteed sufficient decrease},
22734  institution	= {Mathematics and Computer Science Division, Argonne National Laboratory},
22735  year		= {1992},
22736  number	= {MCS-P330-1092}
22737}
22738
22739@Article{	  more-toraldo,
22740  author	= {Jorge J. Mor\'e and G. Toraldo},
22741  journal	= {SIOPT},
22742  pages		= {93--113},
22743  title		= {On the solution of large quadratic programming problems with bound constraints},
22744  volume	= {1},
22745  year		= {1991}
22746}
22747
22748@Article{	  byrd:1995:lma,
22749  author	= {Richard H. Byrd and Peihuang Lu and Jorge Nocedal and Ci You Zhu},
22750  title		= {A Limited Memory Algorithm for Bound Constrained Optimization},
22751  journal	= {SIAM Journal on Scientific Computing},
22752  volume	= {16},
22753  number	= {5},
22754  pages		= {1190--1208},
22755  month		= sep,
22756  year		= {1995},
22757  coden		= {SJOCE3},
22758  issn		= {1064-8275 (print), 1095-7197 (electronic)},
22759  mrclass	= {90C30 (65K05)},
22760  mrnumber	= {96e:90039},
22761  mrreviewer	= {Henry Wolkowicz},
22762  bibdate	= {Fri Dec 4 16:17:35 MST 1998}
22763}
22764
22765@Article{	  lin_c3,
22766  author	= {C.-J. Lin and J. J. Mor\'e},
22767  title		= {Newton's method for large bound-constrained optimization problems},
22768  year		= {1999},
22769  journal	= {SIOPT},
22770  volume	= {9(4)},
22771  pages		= {1100--1127},
22772  url		= {http://www.mcs.anl.gov/home/more/papers/nb.ps.gz}
22773}
22774
22775@TechReport{	  dolan2,
22776  author	= {E. Dolan and J. J. Mor\'{e}},
22777  title		= {Benchmarking Optimization Software with Performance Profiles},
22778  year		= {2001},
22779  month		= jan,
22780  number	= {ANL/MCS-P861-1200},
22781  institution	= {Mathematics and Computer Science Division, Argonne National Laboratory},
22782  address	= {Argonne, IL},
22783  url		= {http://www.mcs.anl.gov/~more/cops/}
22784}
22785
22786@InProceedings{	  owlqn,
22787  author	= {Galen Andrew and Jianfeng Gao},
22788  title		= {Scalable training of L1-regularized log-linear models},
22789  booktitle	= {Proceedings of the 24th international conference on Machine learning (ICML)},
22790  pages		= {33--40},
22791  year		= {2007}
22792}
22793
22794@Article{	  bmrm,
22795  author	= {Choon Hue Teo and S.V.N. Vishwanathan and Alex J. Smola and Quoc V. Le},
22796  title		= {Bundle methods for regularized risk minimization},
22797  year		= {2010},
22798  journal	= {Journal of Machine Learning Research},
22799  volume	= {11},
22800  pages		= {311--365}
22801}
22802
22803% ------------------- Component Software References ----------------------
22804@InProceedings{	  cca99,
22805  author	= {R. Armstrong and D. Gannon and A. Geist and K. Keahey and S. Kohn and L. C.
22806		  McInnes and S. Parker and B. Smolinski},
22807  title		= {Toward a Common Component Architecture for High-Performance Scientific
22808		  Computing},
22809  booktitle	= {Proceedings of {High Performance Distributed Computing}},
22810  pages		= {115--124},
22811  year		= {1999},
22812  note		= {See \url{http://cca-forum.org}}
22813}
22814
22815@Book{		  szyperski98,
22816  author	= {Clemens Szyperski},
22817  title		= {Component Software: Beyond Object-Oriented Programming},
22818  publisher	= {ACM Press},
22819  address	= {New York},
22820  year		= {1998}
22821}
22822
22823@Article{	  broy98,
22824  author	= {Manfred Broy and Anton Deimel and Juergen Henn and Kai Koskimies and
22825		  Franti\v{s}ek Pl\'{a}\v{s}il and Gustave Pomberger and Wolfgang Pree and Michael
22826		  Stal and Clemens Szyperski},
22827  title		= {What Characterizes a (Software) Component?},
22828  journal	= {Software -- Concepts and Tools},
22829  publisher	= {Springer-Verlag},
22830  year		= {1998},
22831  volume	= {19},
22832  pages		= {49--56}
22833}
22834
22835@Article{	  componentware:94,
22836  author	= {Jon Udell},
22837  title		= {Componentware},
22838  journal	= {Byte},
22839  volume	= {May},
22840  pages		= {46--56},
22841  year		= {1994},
22842  key		= {Udell94 ! componentware}
22843}
22844
22845@Misc{		  cca-web-page,
22846  author	= {{Common Component Architecture Forum}},
22847  note		= {See \url{http://cca-forum.org}}
22848}
22849
22850% --------------- References for Tools Used by TAO Developers -----------------
22851
22852%
22853% tohtml: Used to generate on-line TAO users manual and manual pages
22854%
22855@TechReport{	  tohtml,
22856  author	= {William Gropp},
22857  title		= {Users Manual for tohtml: Producing true hypertext documents from {LaTeX}},
22858  institution	= {Argonne National Laboratory},
22859  number	= {ANL/MCS-TM-00},
22860  month		= jan,
22861  year		= {1995},
22862  key		= {tohtml}
22863}
22864
22865%
22866% doctext: Used to generate tex version of TAO manual pages
22867%
22868@TechReport{	  doctext,
22869  author	= {William Gropp},
22870  title		= {Users Manual for doctext: Producing documentation from {C} source code},
22871  institution	= {Argonne National Laboratory},
22872  number	= {ANL/MCS-TM-00},
22873  month		= jan,
22874  year		= {1995},
22875  key		= {doctext}
22876}
22877
22878%
22879% bfort: Used to generate TAO Fortran interface
22880%
22881@TechReport{	  bfort,
22882  author	= {William Gropp},
22883  title		= {Users Manual for bfort: Producing {F}ortran interfaces to {C} source code},
22884  institution	= {Argonne National Laboratory},
22885  number	= {ANL/MCS-TM-208},
22886  month		= mar,
22887  year		= {1995},
22888  key		= {doctext}
22889}
22890
22891% ------------------------- PETSc References ------------------------------
22892@InProceedings{	  petsc,
22893  author	= {Satish Balay and William D. Gropp and Lois Curfman McInnes and Barry F. Smith},
22894  title		= {Efficient Management of Parallelism in Object Oriented Numerical Software
22895		  Libraries},
22896  booktitle	= {Modern Software Tools in Scientific Computing},
22897  editor	= {E. Arge and A. M. Bruaset and H. P. Langtangen},
22898  publisher	= {Birkhauser Press},
22899  pages		= {163--202},
22900  year		= {1997}
22901}
22902
22903% ------------------------- Misc Other References ------------------------------
22904@Misc{		  indeps-web-page,
22905  title		= {{InDEPS} {W}eb page},
22906  note		= {http://z.ca.sandia.gov/\~{ }indeps/},
22907  author	= {et al. Robert Armstrong},
22908  institution	= {Sandia National Laboratory},
22909  key		= {{InDEPS} {W}eb page}
22910}
22911
22912@Misc{		  pooma,
22913  title		= {{POOMA}: {A} FrameWork for scientific computing applications on parallel ar
22914		  chitectures},
22915  year		= {1996},
22916  author	= {J. V. W. Reynders and J. C. Cummings and P. J. Hinker and M. Tholburn a nd M. S.
22917		  S. Banerjee and S. Karmesin and S. Atlas and K. Keahey and W. F. Humphr ey}
22918}
22919
22920@Misc{		  isis++-web-page,
22921  title		= {{ISIS++} {W}eb Page},
22922  note		= {See \url{http://ca.sandia.gov/isis}},
22923  author	= {Robert L. Clay and Kyran Mish and Alan B. Williams},
22924  institution	= {Sandia National Laboratories}
22925}
22926
22927@Misc{		  trilinos-web-page,
22928  title		= {{Trilinos} {W}eb Page},
22929  note		= {See
22930		  \url{http://www.cs.sandia.gov/\~mheroux/Trilinos/doc/TrilinosIntroduction.htm}},
22931  author	= {Mike Heroux et al.},
22932  institution	= {Sandia National Laboratories}
22933}
22934
22935@Misc{		  alice-web-page,
22936  title		= {{ALICE} {W}eb page},
22937  note		= {http://www.mcs.anl.gov/\-alice, Mathematics and Computer Science Division,
22938		  Argonne National Laboratory},
22939  key		= {{ALICE} {W}eb page}
22940}
22941
22942@Misc{		  autodiff-webpage,
22943  author	= {{Computational Differentiation Project}},
22944  note		= {See \url{http://www.mcs.anl.gov/autodiff}}
22945}
22946
22947@Misc{		  coool-home-page,
22948  author	= {Lydia Deng and Wences Gouveia and John Scales},
22949  title		= {{The CWP Object-Oriented Optimization Library}},
22950  note		= {See \url{http://www.cwp.mines.edu/cwpcodes/coool}}
22951}
22952
22953@Misc{		  rice-inversion-home-page,
22954  author	= {Mark S. Gokenbach and William W. Symes},
22955  title		= {{The Hilbert Class Library}},
22956  note		= {See \url{http://www.trip.caam.rice.edu/}}
22957}
22958
22959@Misc{		  opt++-home-page,
22960  author	= {{OPT++: An Object-Oriented Nonlinear Optimization Library}},
22961  note		= {See \url{http://csmr.ca.sandia.gov/projects/opt/opt++.html}}
22962}
22963
22964@Article{	  gockenbach:1999:ccl,
22965  author	= {Mark S. Gockenbach and Matthew J. Petro and William W. Symes},
22966  title		= {C++ Classes for Linking Optimization with Complex Simulations},
22967  journal	= {{ACM} Transactions on Mathematical Software},
22968  volume	= {25},
22969  number	= {2},
22970  month		= jun,
22971  year		= {1999},
22972  pages		= {191-212},
22973  abstract	= {The object-oriented programming paradigm can be used to overcome the
22974		  incompatibilities between off-the-shelf optimization software and application
22975		  software. The Hilbert Class Library (HCL) defines the fundamental mathematical
22976		  objects arising in optimization problems, such as vectors, linear operators, and
22977		  so forth, as C++ classes, making it possible to write optimization code in a
22978		  natural fashion, while allowing application software such as simulators to use the
22979		  most convenient data structures and programming style. In spite of the poor
22980		  reputation C++ has for runtime performance, the use of mixed-language programming
22981		  allows performance equal to that achieved by standard Fortran packages, as
22982		  comparisons with the popular code LBFGS and ARPACK demonstrate.},
22983  accepted	= {April 1999},
22984  url		= {http://www.acm.org/pubs/citations/journals/toms/1999-25-2/p191-gockenbach/}
22985}
22986
22987@Misc{		  neos-guide,
22988  author	= {{The Optimization Software Guide}},
22989  note		= {See \url{http://www.mcs.anl.gov/otc/Guide/}}
22990}
22991
22992@Article{	  boyd,
22993  title		= {Distributed optimization and statistical learning via the alternating direction
22994		  method of multipliers},
22995  author	= {Boyd, Stephen and Parikh, Neal and Chu, Eric and Peleato, Borja and Eckstein,
22996		  Jonathan and others},
22997  journal	= {Foundations and Trends{\textregistered} in Machine learning},
22998  volume	= {3},
22999  number	= {1},
23000  pages		= {1-122},
23001  year		= {2011},
23002  publisher	= {Now Publishers, Inc.}
23003}
23004
23005@Misc{		  :alertsys,
23006  title		= {page{ALERT}},
23007  organization	= {Alert Systems, Inc},
23008  address	= {Madison, Wisconsin},
23009  note		= {http://www.alertsys.com/}
23010}
23011
23012@Manual{	  :cmfortran,
23013  title		= {{CM} {F}ortran Language Reference Manual},
23014  organization	= {Thinking Machines Corporation},
23015  year		= {1994},
23016  address	= {Cambridge, MA}
23017}
23018
23019@Manual{	  :cmmd,
23020  title		= {{CMMD} Reference Manual, Version 3.0},
23021  organization	= {Thinking Machines Corporation},
23022  year		= {1993},
23023  address	= {Cambridge, MA}
23024}
23025
23026@Manual{	  :cmssl,
23027  title		= {{CMSSL} for {CM} {F}ortran},
23028  volume	= {I},
23029  organization	= {Thinking Machines Corporation},
23030  year		= {1994},
23031  address	= {Cambridge, MA}
23032}
23033
23034@Misc{		  :condor,
23035  author	= {M. Livny},
23036  title		= {{PI}, The {Condor} Project, High Throughput Computing},
23037  howpublished	= {www.cs.wisc.edu/condor}
23038}
23039
23040@Manual{	  :connection,
23041  title		= {Connection Machine {CM}--5 Technical Summary},
23042  organization	= {Thinking Machines Corporation},
23043  year		= {1993},
23044  address	= {Cambridge, MA}
23045}
23046
23047@Manual{	  :cplex,
23048  title		= {{CPLEX} Optimizer},
23049  organization	= {ILOG CPLEX Division},
23050  address	= {889 Alder Avenue, Incline Village, Nevada},
23051  note		= {http://www.cplex.com/}
23052}
23053
23054@Manual{	  :cplextm,
23055  title		= {Using the {CPLEX(TM)} Linear Optimizer and {CPLEX(TM)} Mixed Integer Optimizer
23056		  (Version 2.0)},
23057  organization	= {CPLEX Optimization Inc.},
23058  year		= {1992},
23059  address	= {Incline Village, Nevada}
23060}
23061
23062@Misc{		  :fatcop,
23063  author	= {M. C. Ferris},
23064  title		= {{PI}, {FATCOP}: {A} Fault Tolerant {Condor} {PVM} Mixed Integer Programming
23065		  Solver},
23066  howpublished	= {www.cs.wisc.edu/math-prog/fatcop}
23067}
23068
23069@Misc{		  :metaneos,
23070  author	= {S. J. Wright},
23071  title		= {{metaNEOS}: Metacomputing Environments for Optimization},
23072  howpublished	= {www-unix.mcs.anl.gov/metaneos}
23073}
23074
23075@InCollection{	  gropp.more:optimization,
23076  author	= {W. Gropp and J. J. Mor\'e},
23077  title		= {Optimization environments and the {NEOS} Server},
23078  booktitle	= {Approximation Theory and Optimization},
23079  pages		= {167--182},
23080  publisher	= {Cambridge University Press},
23081  year		= {1997},
23082  editor	= {M. D. Buhmann and A. Iserles}
23083}
23084
23085@Article{	  czyzyk.mesnier.ea:neos,
23086  author	= {J. Czyzyk and M. P. Mesnier and J. J. Mor\'e},
23087  title		= {The {NEOS} Server},
23088  journal	= {IEEE Journal on Computational Science and Engineering},
23089  volume	= {5},
23090  year		= {1998},
23091  pages		= {68--75}
23092}
23093
23094@Book{		  :osl,
23095  title		= {Handbook for {IBM OSL}},
23096  author	= {M. S. Hung and W. O. Rom and A. D. Warren},
23097  year		= {1994},
23098  publisher	= {Boyd and Fraser},
23099  address	= {Danvers, Massachusetts}
23100}
23101
23102@Manual{	  :pro-matlab,
23103  title		= {{PRO}--{MATLAB} User's Guide},
23104  organization	= {The MathWorks, Inc.},
23105  year		= {1989},
23106  address	= {21 Eliot Street, South Natick, MA 01760}
23107}
23108
23109@Misc{		  :prostate,
23110  key		= {Biomedical},
23111  title		= {Biomedical Business International Newsletter},
23112  howpublished	= {pp. 72--75},
23113  year		= {1996}
23114}
23115
23116@Misc{		  :sipcase,
23117  key		= {Natural},
23118  title		= {Natural Gas Planning: An Application of Stochastic Linear Programming},
23119  howpublished	= {http://www-fp.mcs.anl.gov/otc/Guide/CaseStudies/slp/index.html}
23120}
23121
23122@Book{		  aarts.korst:simulated,
23123  author	= {E. Aarts and J. Korst},
23124  title		= {Simulated Annealing and Boltzman Machines},
23125  year		= {1990},
23126  publisher	= {John Wiley \& Sons},
23127  address	= {Chichester}
23128}
23129
23130@TechReport{	  aarts.laarhoven.ea:local-search-based,
23131  author	= {E. H. L. Aarts and P. J. M. van Laarhoven and N. L. J. Ulder},
23132  title		= {Local-Search-Based Algorithms for Job Shop Scheduling},
23133  institution	= {Centre for Quantitative Methods},
23134  year		= {1991},
23135  address	= {Nederlandse Philips Bedrijven B.V., P.O. Box 218, NL-5600 MD Eindhoven},
23136  number	= {106},
23137  type		= {CQM-Not}
23138}
23139
23140@Article{	  aashtiani.magnanti:equilibria,
23141  author	= {H. Z. Aashtiani and T. L. Magnanti},
23142  title		= {Equilibria on a congested transportation network},
23143  journal	= {SIAM Journal on Algebraic and Discrete Methods},
23144  volume	= {2},
23145  year		= {1981},
23146  pages		= {213--226}
23147}
23148
23149@Article{	  ablow.brigham:analog,
23150  author	= {C. M. Ablow and G. Brigham},
23151  title		= {An Analog Solution of Programming Problems},
23152  journal	= {Operations Research},
23153  year		= {1955},
23154  volume	= {3},
23155  pages		= {388--394}
23156}
23157
23158@Article{	  achuthan.grabowski.ea:optimal,
23159  author	= {N. R. Achuthan and J. Grabowski and J. B. Sidney},
23160  title		= {Optimal Flow--Shop Scheduling with Earliness and Tardiness Penalties},
23161  journal	= {Opsearch},
23162  year		= {1981},
23163  volume	= {18},
23164  pages		= {117--138}
23165}
23166
23167@Book{		  adelman.robinson:income,
23168  author	= {I. Adelman and S. Robinson},
23169  title		= {Income Distribution Policy in Developing Countries},
23170  publisher	= {Stanford University Press},
23171  year		= {1978},
23172  address	= {Stanford, California}
23173}
23174
23175@Article{	  adler.resende.ea:implementation,
23176  author	= {I. Adler and M. G. C. Resende and G. Veiga and N. K. Karmarkar},
23177  title		= {An Implementation of {K}armarkar's Algorithm for Linear Programming},
23178  journal	= {Mathematical Programming},
23179  year		= {1989},
23180  volume	= {44},
23181  pages		= {297--336}
23182}
23183
23184@TechReport{	  aeberhard.coomans.ea:comparison,
23185  author	= {S. Aeberhard and D. Coomans and O. de Vel},
23186  title		= {Comparison of Classifiers in High Dimensional Settings},
23187  institution	= {Departments of Computer Science and of Mathematics and Statistics, James Cook
23188		  University of North Queensland},
23189  year		= {1992},
23190  number	= {92-02},
23191  type		= {Technical Report}
23192}
23193
23194@Article{	  aganagic.cottle:constructive,
23195  author	= {M. Aganagi\'{c} and R. W. Cottle},
23196  title		= {A Constructive Characterization of ${Q}_0$ Matrices with Nonnegative Principal
23197		  Minors},
23198  journal	= {Mathematical Programming},
23199  year		= {1987},
23200  volume	= {37},
23201  pages		= {223--231}
23202}
23203
23204@TechReport{	  aganagic:iterative,
23205  author	= {M. Aganagi\'{c}},
23206  title		= {Iterative Methods for the Linear Complementarity Problem},
23207  institution	= {Systems Optimization Laboratory, Department of Operations Research, Stanford
23208		  University},
23209  year		= {1978},
23210  type		= {SOL},
23211  number	= {78-10},
23212  address	= {Stanford, California}
23213}
23214
23215@Book{		  ahlfors:complex,
23216  author	= {L. V. Ahlfors},
23217  title		= {Complex Analysis},
23218  publisher	= {McGraw--Hill Book Company},
23219  address	= {New York},
23220  series	= {International Series in Pure and Applied Mathematics},
23221  edition	= {Second},
23222  year		= {1966}
23223}
23224
23225@Article{	  ahn:solution,
23226  author	= {B--H. Ahn},
23227  title		= {Solution of Non--Symmetric Linear Complementarity Problems by Iterative Methods},
23228  journal	= {Journal of Optimization Theory and Applications},
23229  year		= {1981},
23230  volume	= {33},
23231  pages		= {175--185}
23232}
23233
23234@Article{	  al-fahed.stavroulakis.ea:hard,
23235  author	= {A. M. Al-Fahed and G. E. Stavroulakis and P. D. Panagiotopoulos},
23236  title		= {Hard and soft fingered robot grippers. The linear complementarity approach},
23237  journal	= {Zeitschrift f{\"{u}}r Angewandte Mathematik und Mechanik},
23238  volume	= {71},
23239  year		= {1991},
23240  pages		= {257--265}
23241}
23242
23243@Article{	  al-fahed.stavroulakis.ea:linear,
23244  author	= {A. M. Al-Fahed and G. E. Stavroulakis and P. D. Panagiotopoulos},
23245  title		= {A linear complementarity approach to the frictionless gripper},
23246  journal	= {International Journal of Robotic Research},
23247  volume	= {11},
23248  year		= {1992},
23249  pages		= {112--122}
23250}
23251
23252@Article{	  al-khayyal.falk:jointly,
23253  author	= {F. A. Al--Khayyal and J. E. Falk},
23254  title		= {Jointly Constrained Biconvex Programming},
23255  journal	= {Mathematics of Operations Research},
23256  year		= {1983},
23257  volume	= {8},
23258  pages		= {273--286}
23259}
23260
23261@Article{	  al-khayyal.kyparisis:finite,
23262  author	= {F. A. Al--Khayyal and J. Kyparisis},
23263  title		= {Finite Convergence of Algorithms for Nonlinear Programs and Variational
23264		  Inequalities},
23265  journal	= {Journal of Optimization Theory and Applications},
23266  year		= {1991},
23267  volume	= {70},
23268  pages		= {319--332}
23269}
23270
23271@PhDThesis{	  al-khayyal:biconvex,
23272  author	= {F. A. Al--Khayyal},
23273  title		= {Biconvex Programming and Biconcave Minimization},
23274  year		= {1977},
23275  school	= {The George Washington University}
23276}
23277
23278@Article{	  alart.curnier:mixed,
23279  author	= {P. Alart and A. Curnier},
23280  title		= {A mixed formulation for frictional contact problems prone to {N}ewton like
23281		  solution methods},
23282  journal	= {Computer Methods in Applied Mechanics and Engineering},
23283  volume	= {92},
23284  year		= {1991},
23285  pages		= {353--375}
23286}
23287
23288@Misc{		  alexander.kellog.ea:piecewise,
23289  author	= {J.~C. Alexander and R.~B. Kellog and T.-Y. Li and J~.A. Yorke},
23290  title		= {Piecewise smooth continuation},
23291  howpublished	= {Manuscript},
23292  year		= {1979}
23293}
23294
23295@InCollection{	  alexander.li.ea:piecewise,
23296  author	= {J.~C. Alexander and T.-Y. Li and J~.A. Yorke},
23297  title		= {Piecewise smooth homotopies},
23298  booktitle	= {Homotopy Methods and Global Convergence},
23299  pages		= {1--14},
23300  publisher	= {Plenum Press},
23301  year		= {1983},
23302  editor	= {B.~C. Eaves and F.~J. Gould and H.-O. Peitgen and M.~J. Todd},
23303  address	= {New York}
23304}
23305
23306@InCollection{	  alexander:topological,
23307  author	= {J.~C. Alexander},
23308  title		= {The topological theory of an embedding method},
23309  booktitle	= {Continuation Methods},
23310  pages		= {37--68},
23311  publisher	= {Academic Press},
23312  year		= {1978},
23313  editor	= {H. Wacker},
23314  address	= {New York}
23315}
23316
23317@Book{		  allen:probability,
23318  author	= {A. O. Allen},
23319  title		= {Probability, Statistics and Queueing Theory},
23320  publisher	= {Academic Press},
23321  year		= {1990},
23322  address	= {London},
23323  edition	= {Second}
23324}
23325
23326@Book{		  allgower.georg:numerical,
23327  author	= {E. L. Allgower and K. Georg},
23328  title		= {Numerical Continuation Methods, An Introduction},
23329  publisher	= {Springer-Verlag},
23330  year		= {1990},
23331  address	= {Berlin}
23332}
23333
23334@InProceedings{	  allgower.georg:predictor-corrector,
23335  crossref	= {bachem.grotschel.ea:mathematical},
23336  author	= {E. L. Allgower and K. Georg},
23337  title		= {Predictor--Corrector and Simplicial Methods for Approximating Fixed Points and
23338		  Zero Points of Nonlinear Mappings},
23339  pages		= {15--56}
23340}
23341
23342@Article{	  aluffi-pentini.parisi.ea:algorithm,
23343  author	= {F. Aluffi-Pentini and V. Parisi and F. Zirilli},
23344  title		= {Algorithm 667: {SIGMA}- {A} Stochastic-Integration Global Minimization
23345		  Algorithm},
23346  journal	= {ACM Transactions on Mathematical Software},
23347  year		= {1988},
23348  volume	= {14},
23349  pages		= {366--380}
23350}
23351
23352@Article{	  anandalingam.friesz:hierarchical,
23353  author	= {G. Anandalingam and T. L. Friesz},
23354  title		= {Hierarchical Optimization: An Introduction},
23355  journal	= {Annals of Operations Research},
23356  year		= {1992},
23357  volume	= {34},
23358  pages		= {1--11}
23359}
23360
23361@Article{	  anandalingam.white:solution,
23362  author	= {G. Anandalingam and D. J. White},
23363  title		= {A Solution Method for the Linear Static Stackelberg Problem Using Penalty
23364		  Functions},
23365  journal	= {IEEE Transactions on Automatic Control},
23366  year		= {1990},
23367  volume	= {35},
23368  number	= {10},
23369  pages		= {1170--1173}
23370}
23371
23372@Article{	  andersen.andersen:presolving,
23373  author	= {E. Andersen and K. Andersen},
23374  title		= {Presolving in Linear Programming},
23375  year		= {1995},
23376  journal	= {Mathematical Programming},
23377  volume	= {71},
23378  pages		= {221--245}
23379}
23380
23381@InProceedings{	  andersen.ye:homogeneous,
23382  author	= {E. Andersen and Y. Ye},
23383  title		= {On a Homogeneous Algorithm for a Monotone Complementarity Problem with Nonlinear
23384		  Equality Constraints},
23385  crossref	= {ferris.pang:complementarity},
23386  pages		= {1--11}
23387}
23388
23389@Book{		  anderson.bai.ea:lapack,
23390  author	= {E. Anderson and Z. Bai and C. Bischof and J. Demmel and J. Dongarra and J. Du
23391		  Cros and A. Greenbaum and S. Hammarling and A. McKenney and S. Ostrouchov and D.
23392		  Sorensen},
23393  title		= {{LAPACK} User's Guide},
23394  publisher	= {SIAM},
23395  year		= {1995},
23396  address	= {Philadelphia, Pennsylvania},
23397  edition	= {Second}
23398}
23399
23400@Article{	  anderson.ferris:direct,
23401  author	= {E. J. Anderson and M. C. Ferris},
23402  title		= {A Direct Search Algorithm for Optimization with Noisy Function Evaluations},
23403  year		= {2001},
23404  journal	= {SIAM Journal on Optimization, forthcoming},
23405  url		= {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/96-11.ps},
23406  key		= {55}
23407}
23408
23409@InProceedings{	  anderson.ferris:genetic,
23410  author	= {E. J. Anderson and M. C. Ferris},
23411  title		= {A Genetic Algorithm for the Assembly Line Balancing Problem},
23412  booktitle	= {Proceedings of the Integer Programming / Combinatorial Optimization Conference,
23413		  Waterloo, Ontario, Canada, May 28--30},
23414  publisher	= {University of Waterloo Press},
23415  key		= {14},
23416  year		= {1990}
23417}
23418
23419@Article{	  anderson.ferris:genetic*1,
23420  author	= {E. J. Anderson and M. C. Ferris},
23421  title		= {Genetic Algorithms for Combinatorial Optimization: The Assembly Line Balancing
23422		  Problem},
23423  journal	= {ORSA Journal on Computing},
23424  year		= {1994},
23425  url		= {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/93-ga.ps},
23426  volume	= {6},
23427  pages		= {161--173},
23428  key		= {22}
23429}
23430
23431@InProceedings{	  anderson.ferris:parallel,
23432  author	= {E. J. Anderson and M. C. Ferris},
23433  title		= {Parallel Genetic Algorithms in Optimization},
23434  booktitle	= {Proceedings of the Fourth SIAM conference on Parallel Processing for Scientific
23435		  Computing, Chicago, Illinois, December 11-13},
23436  year		= {1989},
23437  key		= {12}
23438}
23439
23440@Unpublished{	  anderson.lewis:primal,
23441  author	= {E. J. Anderson and A. S. Lewis},
23442  title		= {A New Primal Algorithm for Semi-Infinite Linear Programming},
23443  note		= {In preparation}
23444}
23445
23446@Book{		  anderson.nash:linear,
23447  author	= {E. J. Anderson and P. Nash},
23448  title		= {Linear Programming in Infinite--Dimensional Spaces},
23449  year		= {1987},
23450  publisher	= {John Wiley \& Sons},
23451  address	= {Chichester}
23452}
23453
23454@InProceedings{	  anderson:primal,
23455  author	= {E. J. Anderson},
23456  title		= {A New Primal Algorithm for Semi-Infinite Linear Programming},
23457  booktitle	= {Proceedings of an International Symposium on Infinite Dimensional Linear
23458		  Programming, Cambridge, September 1984},
23459  year		= {1985},
23460  editor	= {E. J. Anderson and A. B. Philpott},
23461  publisher	= {Springer-Verlag},
23462  address	= {Berlin}
23463}
23464
23465@Article{	  andradottir:method,
23466  author	= {S. Andrad\'{o}ttir},
23467  title		= {A Method of Discrete Stochastic Optimization},
23468  journal	= {Management Science},
23469  year		= {1995},
23470  volume	= {41},
23471  pages		= {1946--1961}
23472}
23473
23474@Article{	  andradottir:global,
23475  author	= {S. Andrad\'{o}ttir},
23476  title		= {A Global Search Method for Discrete Stochastic Optimization},
23477  journal	= {SIAM Journal on Optimization},
23478  year		= {1996},
23479  volume	= {6},
23480  pages		= {513--530}
23481}
23482
23483@TechReport{	  anitescu.lesaja.ea:infeasible-interior-point,
23484  author	= {M. Anitescu and G. Lesaja and F. A. Potra},
23485  title		= {An infeasible--interior--point predictor--corrector algorithm for the
23486		  {P}$_x$--geometric {LCP}},
23487  institution	= {Department of Mathematics, The University of Iowa},
23488  address	= {Iowa City, Iowa},
23489  year		= {1994},
23490  number	= {62},
23491  type		= {Reports on Computational Mathematics}
23492}
23493
23494@TechReport{	  anitescu.potra:formulating,
23495  author	= {M. Anitescu and F. A. Potra},
23496  title		= {Formulating Dynamic Multi-Rigid-Body Contact Problems with Friction as Solvable
23497		  Linear Complementarity Problems},
23498  institution	= {Department of Mathematics, The University of Iowa},
23499  year		= {1996},
23500  type		= {Report},
23501  number	= {93},
23502  address	= {Iowa City, Iowa}
23503}
23504
23505@Article{	  anstreicher.lee.ea:crashing,
23506  author	= {K. M. Anstreicher and J. Lee and T. F. Rutherford},
23507  title		= {Crashing a Maximum-Weight Complementarity Basis},
23508  journal	= {Mathematical Programming},
23509  year		= {1992},
23510  volume	= {54},
23511  pages		= {281--294}
23512}
23513
23514@Article{	  anstreicher:combined,
23515  author	= {K. M. Anstreicher},
23516  title		= {A combined phase {I}--phase {II} scaled potential algorithm for linear
23517		  programming},
23518  journal	= {Mathematical Programming},
23519  year		= {1991},
23520  volume	= {52},
23521  pages		= {429--440}
23522}
23523
23524@Article{	  anstreicher:combined*1,
23525  author	= {K. M. Anstreicher},
23526  title		= {A combined phase {I}--phase {II} projective algorithm for linear programming},
23527  journal	= {Mathematical Programming},
23528  year		= {1989},
23529  volume	= {43},
23530  pages		= {209--223}
23531}
23532
23533@InCollection{	  arbenz.gander.ea:remote,
23534  author	= {P. Arbenz and W. Gander and M. Oettli},
23535  title		= {The Remote Computational System},
23536  booktitle	= {High-Performance Computation and Networks},
23537  publisher	= {Springer-Verlag},
23538  year		= {1996},
23539  volume	= {1067},
23540  series	= {Lecture Notes in Computer Science},
23541  pages		= {662--667}
23542}
23543
23544@InCollection{	  arcus:comsoal,
23545  author	= {A. L. Arcus},
23546  title		= {{COMSOAL}: {A} Computer Method of Sequencing Operations for Assembly Lines},
23547  booktitle	= {Readings in Production and Operations Management},
23548  year		= {1966},
23549  editor	= {E. S. Buffa},
23550  publisher	= {John Wiley \& Sons},
23551  address	= {New York}
23552}
23553
23554@TechReport{	  arioli.chan.ea:computing,
23555  author	= {M. Arioli and T. F. Chan and I. S. Duff and N. I. M. Gould and J. K. Reid},
23556  title		= {Computing a Search Direction for Large-Scale Linearly-Constrained Nonlinear
23557		  Optimization Calculations},
23558  institution	= {CERFACS},
23559  year		= {1993},
23560  number	= {TR/PA/93/34}
23561}
23562
23563@Article{	  armijo:minimization,
23564  author	= {L. Armijo},
23565  title		= {Minimization of Functions having {L}ipschitz-continuous First Partial
23566		  Derivatives},
23567  journal	= {Pacific Journal of Mathematics},
23568  year		= {1966},
23569  volume	= {16},
23570  pages		= {1--3}
23571}
23572
23573@Article{	  arrow.debreu:existence,
23574  author	= {K. Arrow and G. Debreu},
23575  title		= {Existence of Equilibrium for a Competitive Economy},
23576  journal	= {Econometrica},
23577  year		= {1954},
23578  volume	= {22},
23579  pages		= {265--290}
23580}
23581
23582@InCollection{	  arrow.solow:gradient,
23583  author	= {K. J. Arrow and R. M. Solow},
23584  title		= {Gradient Methods for Constrained Maxima with Weakened Assumptions},
23585  booktitle	= {Studies in Linear and Nonlinear Programming},
23586  year		= {1958},
23587  editor	= {K. J. Arrow and L. Hurwicz and H. Uzawa},
23588  publisher	= {Stanford University Press},
23589  address	= {Stanford, California},
23590  pages		= {166--176}
23591}
23592
23593@Book{		  aubin.ekeland:nonlinear,
23594  author	= {J.-P. Aubin and I. Ekeland},
23595  title		= {Applied nonlinear analysis},
23596  publisher	= {John Wiley \& Sons},
23597  address	= {New York},
23598  year		= {1984}
23599}
23600
23601@Article{	  auchmuty:variational,
23602  author	= {G. Auchmuty},
23603  title		= {Variational Principles for Variational Inequalities},
23604  journal	= {Numerical Functional Analysis and Optimization},
23605  year		= {1989},
23606  volume	= {10},
23607  pages		= {863--874}
23608}
23609
23610@Book{		  auerbach.kotlikoff:dynamic,
23611  author	= {A. J. Auerbach and L. J. Kotlikoff},
23612  title		= {Dynamic Fiscal Policy},
23613  publisher	= {Cambridge University Press},
23614  address	= {Cambridge, England},
23615  year		= {1987}
23616}
23617
23618@InProceedings{	  ault.deutsch.ea:interpolating,
23619  author	= {D. A. Ault and F. R. Deutsch and P. D. Morris and J. E. Olson},
23620  title		= {Interpolating Subspaces in Approximation Theory},
23621  booktitle	= {Approximation Theory},
23622  year		= {1970},
23623  editor	= {A. Talbot},
23624  publisher	= {Academic Press},
23625  address	= {London}
23626}
23627
23628@Article{	  auslender.crouzeix:global,
23629  author	= {A. A. Auslender and J.--P. Crouzeix},
23630  title		= {Global Regularity Theorems},
23631  journal	= {Mathematics of Operations Research},
23632  year		= {1988},
23633  volume	= {13},
23634  pages		= {243--253}
23635}
23636
23637@Article{	  auslender.haddou:interior-proximal,
23638  author	= {A. Auslender and M. Haddou},
23639  title		= {An interior-proximal method for convex linearly constrained problems and its
23640		  extension to variational inequalities},
23641  year		= {1995},
23642  journal	= {Mathematical Programming},
23643  pages		= {77--100},
23644  volume	= {71}
23645}
23646
23647@Article{	  auslender:convergence,
23648  author	= {A. Auslender},
23649  title		= {Convergence of stationary sequences for variational inequalities with maximal
23650		  monotone operators},
23651  journal	= {Applied Mathematics and Optimization},
23652  volume	= {28},
23653  year		= {1993},
23654  pages		= {161--172}
23655}
23656
23657@Book{		  auslender:optimization,
23658  author	= {A. Auslender},
23659  title		= {Optimization {M}\'{e}thodes Num\'{e}riques},
23660  year		= {1976},
23661  publisher	= {Masson},
23662  address	= {Paris}
23663}
23664
23665@TechReport{	  averick.carter.ea:minpack-2,
23666  author	= {B. M. Averick and R. G. Carter and J. J. Mor\'e and G. -L. Xue},
23667  title		= {The {MINPACK-2} Test Problem Collection},
23668  institution	= {Argonne National Laboratory},
23669  year		= {1992},
23670  address	= {Argonne, Illinois},
23671  number	= {MCS-P153-0692}
23672}
23673
23674@TechReport{	  axline.billups.ea:guidelines,
23675  author	= {R. A. Axline and S. C. Billups and M. F. Grady},
23676  title		= {Guidelines for Software Security ({U})},
23677  institution	= {SNL},
23678  year		= {1989},
23679  month		= oct,
23680  address	= {Albuquerque, New Mexico},
23681  number	= {SAND88-2955}
23682}
23683
23684@Article{	  ayres.walter:greenhouse,
23685  author	= {R. U. Ayres and J. Walter},
23686  title		= {The Greenhouse Effect: Damages, Costs and Abatement},
23687  journal	= {Environmental and Resource Economics},
23688  year		= {1991},
23689  volume	= {1},
23690  pages		= {237--270}
23691}
23692
23693@PhDThesis{	  bagley:behaviour,
23694  author	= {J. D. Bagley},
23695  title		= {The Behaviour of Adaptive Systems which employ Genetic and Correlation
23696		  Algorithms},
23697  year		= {1967},
23698  school	= {University of Michigan}
23699}
23700
23701@Article{	  bain.stewart:application,
23702  author	= {R. S. Bain and W. E. Stewart},
23703  title		= {Application of Robust Nonmonotonic Descent Criteria to the Solution of Nonlinear
23704		  Algebraic Equation Systems},
23705  journal	= {Computers in Chemical Engineering},
23706  year		= {1991},
23707  volume	= {15},
23708  pages		= {203--208}
23709}
23710
23711@Article{	  baker.lasdon:successive,
23712  author	= {T. E. Baker and L. S. Lasdon},
23713  title		= {Successive Linear Programming at {E}xxon},
23714  journal	= {Management Science},
23715  year		= {1985},
23716  volume	= {31},
23717  pages		= {264--274}
23718}
23719
23720@InProceedings{	  baker:reducing,
23721  crossref	= {grefenstette:genetic},
23722  author	= {J. E. Baker},
23723  title		= {Reducing Bias and Inefficiency in the Selection Algorithm},
23724  pages		= {14--21}
23725}
23726
23727@Article{	  balas.zemel:algorithm,
23728  author	= {E. Balas and E. Zemel},
23729  title		= {An Algorithm for Large Zero--One Knapsack Problems},
23730  journal	= {Operations Research},
23731  year		= {1980},
23732  volume	= {28},
23733  pages		= {1132--1154}
23734}
23735
23736@Book{		  ballard.fullerton.ea:general,
23737  author	= {C. Ballard and D. Fullerton and J. B. Shoven and J. Whalley},
23738  title		= {A General Equilibrium Model for Tax Policy Evaluation},
23739  publisher	= {The University of Chicago Press},
23740  year		= {1985},
23741  series	= {National Bureau of Economic Research Monograph}
23742}
23743
23744@InProceedings{	  balog.angelos.ea:dose,
23745  author	= {J. Balog and L. Angelos and T. R. Mackie and P. Reckwerdt},
23746  title		= {Dose Computation for a One-Dimensional Multileaf Collimator},
23747  booktitle	= {Proceedings of the XII International Conference on the Use of Computers in
23748		  Radiation Therapy, Salt Lake City},
23749  year		= {1997},
23750  editor	= {D. D. Leavitt and G. Starkshall},
23751  publisher	= {Medical Physics Publishing},
23752  address	= {St. Louis, Missouri},
23753  pages		= {323--326}
23754}
23755
23756@Article{	  baraff:fast,
23757  author	= {D. Baraff},
23758  title		= {Fast contact force computation for nonpenetrating rigid bodies},
23759  journal	= {Computer Graphics (Proceedings SIGRAPH)},
23760  year		= {1994},
23761  pages		= {23--34},
23762  volume	= {28}
23763}
23764
23765@Article{	  baraff:issues,
23766  author	= {D. Baraff},
23767  title		= {Issues in computing contact forces for nonpenetrating rigid bodies},
23768  journal	= {Algorithmica},
23769  volume	= {10},
23770  year		= {1993},
23771  pages		= {292--352}
23772}
23773
23774@Book{		  barrett.berry.ea:templates,
23775  title		= {Templates for the Solution of Linear Systems: Building Blocks for Iterative
23776		  Methods},
23777  author	= {R. Barrett and M. Berry and T. F. Chan and J. Demmel and J. Donato and J.
23778		  Dongarra and V. Eijkhout and R. Pozo and C. Romine and H. van der Vorst},
23779  year		= {1994},
23780  publisher	= {SIAM},
23781  address	= {Philadelphia, Pennsylvania}
23782}
23783
23784@Article{	  bard:algorithm,
23785  author	= {J. F. Bard},
23786  title		= {An Algorithm for Solving the General Bi--Level Programming Problem},
23787  journal	= {Mathematics of Operations Research},
23788  year		= {1983},
23789  volume	= {8},
23790  pages		= {260--272}
23791}
23792
23793@Article{	  bard:convex,
23794  author	= {J. F. Bard},
23795  title		= {Convex Two-Level Optimization},
23796  journal	= {Mathematical Programming},
23797  year		= {1988},
23798  volume	= {40},
23799  pages		= {15--27}
23800}
23801
23802@InCollection{	  bard:eclectic,
23803  author	= {Y. Bard},
23804  title		= {An Eclectic Approach to Nonlinear Programming},
23805  booktitle	= {Optimization},
23806  publisher	= {University of Queensland Press},
23807  editor	= {R. S. Anderson and L. S. Jennings and D. M. Ryan},
23808  year		= {1972},
23809  address	= {St. Lucia, Queensland, Australia},
23810  pages		= {116--128}
23811}
23812
23813@Article{	  barnes:variation,
23814  author	= {E. R. Barnes},
23815  title		= {A Variation on {K}armarkar's Algorithm for Solving Linear Programming Problems},
23816  journal	= {Mathematical Programming},
23817  year		= {1986},
23818  volume	= {36},
23819  pages		= {174--182}
23820}
23821
23822@Article{	  bartels.golub:simplex,
23823  author	= {R. H. Bartels and G. H. Golub},
23824  title		= {The Simplex Method of Linear Programming using {LU} Decomposition},
23825  journal	= {Communications of the Asociation for Computing Machinery},
23826  year		= {1969},
23827  volume	= {12},
23828  pages		= {266--268}
23829}
23830
23831@Article{	  barton.ivey:nelder,
23832  author	= {R. Barton and J. S. Ivey},
23833  title		= {{N}elder {M}ead Simplex Modifications for Simulation Optimization},
23834  journal	= {Management Science},
23835  year		= {1996},
23836  volume	= {42},
23837  number	= {7},
23838  pages		= {954--973}
23839}
23840
23841@Article{	  battiti:first-,
23842  author	= {R. Battiti},
23843  title		= {First- and Second-Order Methods for Learning: Between Steepest Descent and
23844		  {N}ewton's Method},
23845  journal	= {Neural Computation},
23846  year		= {1992},
23847  volume	= {4},
23848  pages		= {141--166}
23849}
23850
23851@Article{	  baudet:asynchronous,
23852  author	= {G. M. Baudet},
23853  title		= {Asynchronous iterative methods for multiprocesors},
23854  journal	= {Journal of the Association for Computing Machinery},
23855  year		= {1978},
23856  volume	= {25},
23857  pages		= {226--244}
23858}
23859
23860@InProceedings{	  baum.haussler:what,
23861  author	= {E. B. Baum and D. Haussler},
23862  title		= {What Size Net Gives Valid Generalization},
23863  booktitle	= {Advances in Neural Information Processing Systems I},
23864  year		= {1989},
23865  editor	= {D. S. Touretzky},
23866  publisher	= {Morgan Kaufmann},
23867  address	= {San Mateo, California},
23868  pages		= {81--90}
23869}
23870
23871@Misc{		  baum:private,
23872  author	= {E. B. Baum},
23873  title		= {Private Communication},
23874  year		= {1992},
23875  address	= {NEC Research Institute, Princeton, New Jersey}
23876}
23877
23878@Book{		  bazaraa.sherali.ea:nonlinear,
23879  author	= {M. S. Bazaraa and H. D. Sherali and C. M. Shetty},
23880  title		= {Nonlinear Programming},
23881  edition	= {Second},
23882  publisher	= {John Wiley and Sons},
23883  address	= {New York},
23884  year		= {1993}
23885}
23886
23887@Book{		  bazaraa.shetty:nonlinear,
23888  author	= {M. S. Bazaraa and C. M. Shetty},
23889  title		= {Nonlinear Programming: Theory and Algorithms},
23890  publisher	= {John Wiley \& Sons},
23891  year		= {1979},
23892  address	= {New York, New York}
23893}
23894
23895@Article{	  beale:cycling,
23896  author	= {E. M. L. Beale},
23897  title		= {Cycling in the Dual Simplex Method},
23898  journal	= {Naval Research Logistics Quarterly},
23899  year		= {1955},
23900  volume	= {2},
23901  pages		= {103--107}
23902}
23903
23904@InProceedings{	  becker.cun:improving,
23905  author	= {S. Becker and Y. le Cun},
23906  title		= {Improving the Convergence of Backpropagation Learning with Second Order Methods},
23907  booktitle	= {Proceedings of 1988 Connectionist Models Summer School},
23908  year		= {1988},
23909  editor	= {D. S. Touretzky},
23910  publisher	= {Morgan Kaufmann},
23911  address	= {San Mateo, California},
23912  pages		= {29--37}
23913}
23914
23915@Book{		  ben-israel.ben-tal.ea:optimality,
23916  author	= {A. Ben--Israel and A. Ben--Tal and S. Zlobec},
23917  title		= {Optimality in Nonlinear Programming: {A} Feasible Directions Approach},
23918  year		= {1981},
23919  publisher	= {John Wiley \& Sons},
23920  address	= {New York}
23921}
23922
23923@Article{	  ben-israel:newton-raphson,
23924  author	= {A. Ben--Israel},
23925  title		= {A {N}ewton--{R}aphson Method for the Solution of Systems of Equations},
23926  journal	= {Journal of Mathematical Analysis and its Applications},
23927  year		= {1966},
23928  volume	= {15},
23929  pages		= {243--252}
23930}
23931
23932@Article{	  ben-tal.melman.ea:curved,
23933  author	= {A. Ben--Tal and A. Melman and J. Zowe},
23934  title		= {Curved Search Methods for Unconstrained Optimization},
23935  journal	= {Optimization},
23936  year		= {1990},
23937  volume	= {21},
23938  pages		= {669--695},
23939  publisher	= {John Wiley \& Sons},
23940  address	= {New York}
23941}
23942
23943@InProceedings{	  bennett.ferris.ea:genetic,
23944  crossref	= {belew.booker:fourth},
23945  author	= {K. Bennett and M. C. Ferris and Y. E. Ioannidis},
23946  title		= {A Genetic Algorithm for Database Query Optimization},
23947  pages		= {400--407},
23948  url		= {ftp: //ftp.cs.wisc.edu/tech-reports/reports/1991/tr1004.ps},
23949  key		= {19}
23950}
23951
23952@Article{	  bennett.mangasarian:bilinear,
23953  author	= {K. P. Bennett and O. L. Mangasarian},
23954  title		= {Bilinear Separation of Two Sets in n-Space},
23955  journal	= {Computational Optimization and Applications},
23956  year		= {1993},
23957  volume	= {2},
23958  pages		= {207--227}
23959}
23960
23961@Article{	  bennett.mangasarian:multicategory,
23962  author	= {K. P. Bennett and O. L. Mangasarian},
23963  title		= {Multicategory Separation via Linear Programming},
23964  journal	= {Optimization Methods and Software},
23965  year		= {1993},
23966  volume	= {3},
23967  pages		= {27--39}
23968}
23969
23970@InProceedings{	  bennett.mangasarian:neural,
23971  author	= {K. P. Bennett and O. L. Mangasarian},
23972  title		= {Neural Network Training via Linear Programming},
23973  booktitle	= {Advances in Optimization and Parallel Computing},
23974  year		= {1992},
23975  editor	= {P. M. Pardalos},
23976  publisher	= {North Holland},
23977  address	= {Amsterdam},
23978  pages		= {56--67}
23979}
23980
23981@Article{	  bennett.mangasarian:robust,
23982  author	= {K. P. Bennett and O. L. Mangasarian},
23983  title		= {Robust Linear Programming Discrimination of Two Linearly Inseparable Sets},
23984  journal	= {Optimization Methods and Software},
23985  year		= {1992},
23986  volume	= {1},
23987  pages		= {23--34}
23988}
23989
23990@Article{	  bennett.mangasarian:serial,
23991  author	= {K. P. Bennett and O. L. Mangasarian},
23992  title		= {Serial and Parallel Multicategory Separation},
23993  journal	= {SIAM Journal on Optimization},
23994  year		= {1994},
23995  volume	= {4},
23996  pages		= {722--734}
23997}
23998
23999@TechReport{	  bennett.wu.ea:support,
24000  author	= {K. P. Bennett and D. Wu and L. Auslender},
24001  title		= {On Support Vector Decision Trees for Database Marketing},
24002  institution	= {Department of Mathematical Sciences, Rensselaer Polytechnic Institute},
24003  year		= {1998},
24004  optkey	= {},
24005  opttype	= {RPI Math Report},
24006  optnumber	= {98-100},
24007  optaddress	= {Troy, New York},
24008  optmonth	= {},
24009  optnote	= {},
24010  optannote	= {}
24011}
24012
24013@InProceedings{	  bennett:decision,
24014  author	= {K. P. Bennett},
24015  title		= {Decision Tree Construction Via Linear Programming},
24016  booktitle	= {Proceedings of the 4th Midwest Artificial Intelligence and Cognitive Science
24017		  Society Conference},
24018  year		= {1992},
24019  editor	= {M. Evans},
24020  address	= {Utica, Illinois},
24021  pages		= {97--101}
24022}
24023
24024@Book{		  berge.ghouila-houri:programming,
24025  author	= {C. Berge and A. Ghouila-Houri},
24026  title		= {Programming, Games and Transportation Networks},
24027  year		= {1965},
24028  publisher	= {John Wiley \& Sons},
24029  address	= {New York}
24030}
24031
24032@Book{		  berge:topological,
24033  author	= {C. Berge},
24034  title		= {Topological Spaces},
24035  year		= {1963},
24036  publisher	= {McMillan},
24037  address	= {New York}
24038}
24039
24040@TechReport{	  berkelaar.jansen.ea:basis,
24041  author	= {A. B. Berkelaar and B. Jansen and C. Roos and T. Terlaky},
24042  title		= {Basis and Tripartition Identification for Quadratic Programming and Linear
24043		  Complementarity Problems},
24044  institution	= {Department of Econometrics and Operations Research},
24045  year		= {1996},
24046  address	= {Erasmus University, Rotterdam, The Netherlands}
24047}
24048
24049@Article{	  bertsekas.baz:distributed,
24050  author	= {D. P. Bertsekas and D. El Baz},
24051  title		= {Distributed Asynchronous Relaxation Methods for the Convex Network Flow Problem},
24052  journal	= {SIAM Journal on Control and Optimization},
24053  year		= {1987},
24054  volume	= {25},
24055  pages		= {74--85}
24056}
24057
24058@Article{	  bertsekas.gafni:projection,
24059  author	= {D. P. Bertsekas and E. M. Gafni},
24060  title		= {Projection Methods for Variational Inequalities with Application to the Traffic
24061		  Assignment Problem},
24062  journal	= {Mathematical Programming Study},
24063  year		= {1982},
24064  volume	= {17},
24065  pages		= {139--159}
24066}
24067
24068@Article{	  bertsekas.hossein.ea:relaxation,
24069  author	= {D. P. Bertsekas and P. Hossein and P. Tseng},
24070  title		= {Relaxation Methods for Network Flow Problems with Convex Arc Costs},
24071  journal	= {SIAM Journal on Control and Optimization},
24072  year		= {1987},
24073  volume	= {25},
24074  pages		= {1219--1243}
24075}
24076
24077@Unpublished{	  bertsekas.tseng:partial,
24078  author	= {D. P. Bertsekas and P. Tseng},
24079  title		= {Partial Proximal Minimization for Convex Programming},
24080  year		= {1991},
24081  note		= {Manuscript}
24082}
24083
24084@Article{	  bertsekas.tsitsiklis:analysis,
24085  author	= {D. P. Bertsekas and J. N. Tsitsiklis},
24086  title		= {An Analysis of Stochastic Shortest Path Problems},
24087  journal	= {Mathematics of Operations Research},
24088  year		= {1991},
24089  volume	= {16},
24090  pages		= {580--595}
24091}
24092
24093@Book{		  bertsekas.tsitsiklis:parallel,
24094  author	= {D. P. Bertsekas and J. N. Tsitsiklis},
24095  title		= {Parallel and Distributed Computation: Numerical Methods},
24096  publisher	= {Prentice-Hall, Inc},
24097  year		= {1989},
24098  address	= {Englewood Cliffs, New Jersey}
24099}
24100
24101@Book{		  bertsekas:constrained,
24102  author	= {D. P. Bertsekas},
24103  title		= {Constrained Optimization and Lagrange Multiplier Methods},
24104  year		= {1982},
24105  publisher	= {Academic Press},
24106  address	= {New York}
24107}
24108
24109@Book{		  bertsekas:dynamic,
24110  author	= {D. P. Bertsekas},
24111  title		= {Dynamic Programming and Optimal Control},
24112  publisher	= {Athena Scientific},
24113  year		= {1995},
24114  address	= {Belmont MA}
24115}
24116
24117@Article{	  bertsekas:enlarging,
24118  author	= {D. P. Bertsekas},
24119  title		= {Enlarging the Region of Convergence of {N}ewton's Method for Constrained
24120		  Optimization},
24121  journal	= {Journal of Optimization Theory and Applications},
24122  year		= {1982},
24123  volume	= {36},
24124  pages		= {221--252}
24125}
24126
24127@Article{	  bertsekas:goldstein-levitin-poljak,
24128  author	= {D. P. Bertsekas},
24129  title		= {On the {G}oldstein-{L}evitin-{P}oljak Gradient Projection Algorithm},
24130  journal	= {IEEE Transactions on Automatic Control},
24131  year		= {1976},
24132  volume	= {AC-21},
24133  pages		= {174--184}
24134}
24135
24136@Article{	  bertsekas:multiplier,
24137  author	= {D. P. Bertsekas},
24138  title		= {Multiplier Methods: {A} Survey},
24139  journal	= {Automatica},
24140  year		= {1976},
24141  volume	= {12},
24142  pages		= {133--145}
24143}
24144
24145@Article{	  bertsekas:necessary,
24146  author	= {D. P. Bertsekas},
24147  title		= {Necessary and Sufficient Conditions for a Penalty Method to be Exact},
24148  journal	= {Mathematical Programming},
24149  year		= {1975},
24150  volume	= {9},
24151  pages		= {87--99}
24152}
24153
24154@Book{		  bertsekas:nonlinear,
24155  author	= {D. P. Bertsekas},
24156  title		= {Nonlinear Programming},
24157  publisher	= {Athena Scientific},
24158  year		= {1995},
24159  address	= {Belmont, Massachusetts}
24160}
24161
24162@Article{	  bertsekas:projected,
24163  author	= {Dimitri P. Bertsekas},
24164  title		= {Projected {N}ewton Methods for Optimization Problems with Simple Constraints},
24165  journal	= {SIAM Journal on Control and Optimization},
24166  year		= {1982},
24167  volume	= {20},
24168  pages		= {221--246}
24169}
24170
24171@Article{	  billups.dirkse.ea:comparison,
24172  author	= {S. C. Billups and S. P. Dirkse and M. C. Ferris},
24173  title		= {A Comparison of Large Scale Mixed Complementarity Problem Solvers},
24174  journal	= {Computational Optimization and Applications},
24175  year		= {1997},
24176  pages		= {3--25},
24177  volume	= {7},
24178  url		= {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/95-16.ps},
24179  key		= {51}
24180}
24181
24182@Article{	  billups.ferris:convergence,
24183  author	= {S. C. Billups and M. C. Ferris},
24184  title		= {Convergence of an Infeasible Interior--Point Algorithm from Arbitrary Positive
24185		  Starting Points},
24186  journal	= {SIAM Journal on Optimization},
24187  year		= {1996},
24188  volume	= {6},
24189  pages		= {316--325},
24190  url		= {ftp: //ftp.cs.wisc.edu/tech-reports/reports/1993/tr1180.ps},
24191  key		= {34}
24192}
24193
24194@TechReport{	  billups.ferris:convergence*1,
24195  author	= {S. C. Billups and M. C. Ferris},
24196  title		= {Convergence of Infeasible Interior--Point Algorithms from Arbitrary Starting
24197		  Points},
24198  institution	= {Computer Sciences Department, University of Wisconsin},
24199  year		= {1993},
24200  address	= {Madison, Wisconsin},
24201  number	= {1180},
24202  note		= {Revised version in SIAM Journal on Optimization.}
24203}
24204
24205@Article{	  billups.ferris:qpcomp,
24206  author	= {S. C. Billups and M. C. Ferris},
24207  title		= {{QPCOMP}: {A} Quadratic Program Based Solver for Mixed Complementarity Problems},
24208  year		= {1997},
24209  journal	= {Mathematical Programming},
24210  pages		= {533--562},
24211  volume	= {76},
24212  url		= {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/95-09.ps},
24213  key		= {47}
24214}
24215
24216@Article{	  billups.ferris:solutions,
24217  author	= {S. C. Billups and M. C. Ferris},
24218  title		= {Solutions to Affine Generalized Equations Using Proximal Mappings},
24219  journal	= {Mathematics of Operations Research},
24220  volume	= {24},
24221  pages		= {219--236},
24222  year		= {1999},
24223  url		= {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/94-15.ps},
24224  key		= {42},
24225  institution	= {Computer Sciences Department, University of Wisconsin},
24226  address	= {Madison, Wisconsin},
24227  type		= {Mathematical Programming Technical Report},
24228  number	= {94--15}
24229}
24230
24231@TechReport{	  billups.murata.ea:users,
24232  author	= {S. C. Billups and K. K. Murata and K. E. Washington and D. L. Y. Louie},
24233  title		= {User's manual for {CONTAIN--HWR/0}, Rev. 1: {A} Computer Code for the Analysis of
24234		  Heavy Water Nuclear Reactor Containments Under Accident Conditions},
24235  institution	= {SNL},
24236  year		= {1994},
24237  month		= jan,
24238  address	= {Albuquerque, New Mexico},
24239  number	= {SAND91--1482}
24240}
24241
24242@TechReport{	  billups.speight.ea:nonmonotone,
24243  author	= {S. C. Billups and A. L. Speight and L. T. Watson},
24244  title		= {Nonmonotone Path Following Methods for Nonsmooth Equations and Complementarity
24245		  Problems},
24246  institution	= {Department of Mathematics, University of Colorado},
24247  year		= {1999},
24248  address	= {Denver, Colorado}
24249}
24250
24251@PhDThesis{	  billups:algorithms,
24252  author	= {S. C. Billups},
24253  title		= {Algorithms for Complementarity Problems and Generalized Equations},
24254  school	= {University of Wisconsin--Madison},
24255  year		= {1995},
24256  address	= {Madison, Wisconsin},
24257  month		= aug
24258}
24259
24260@MastersThesis{	  billups:augmented,
24261  author	= {S. C. Billups},
24262  title		= {An Augmented Jacobian Matrix Algorithm for Tracking Homotopy Zero Curves},
24263  school	= {Virginia Tech},
24264  year		= {1985},
24265  address	= {Blacksburg, Virginia}
24266}
24267
24268@TechReport{	  billups:homotopy,
24269  author	= {S. C. Billups},
24270  title		= {A Homotopy Based Algorithm for Mixed Complementarity Problems},
24271  institution	= {Department of Mathematics, University of Colorado},
24272  year		= {1998},
24273  address	= {Denver, Colorado}
24274}
24275
24276@Article{	  billups:improving,
24277  author	= {S. C. Billups},
24278  title		= {Improving the Robustness of Descent-Based Methods for Semi-Smooth Equations Using
24279		  Proximal Perturbations},
24280  year		= {2000},
24281  journal	= {Mathematical Programming},
24282  volume	= {87},
24283  pages		= {153--176}
24284}
24285
24286@Book{		  birge.louveaux:introduction,
24287  author	= {J. R. Birge and R. Louveaux},
24288  title		= {Introduction to Stochastic Programming},
24289  publisher	= {Springer},
24290  address	= {New York},
24291  year		= {1997}
24292}
24293
24294@TechReport{	  bischof.carle.ea:adifor,
24295  author	= {C. Bischof and A. Carle and P. Khademi and A. Mauer and P. Hovland},
24296  title		= {{ADIFOR} 2.0 User's Guide},
24297  institution	= {Argonne National Laboratory},
24298  year		= {1995},
24299  address	= {Argonne, Illinois},
24300  number	= {ANL/MCS--TM--192},
24301  type		= {Mathematics and Computer Science Division Report}
24302}
24303
24304@Book{		  bisschop.entriken:aimms,
24305  author	= {J. Bisschop and R. Entriken},
24306  title		= {{AIMMS} -- The Modeling System},
24307  year		= {1993},
24308  publisher	= {Paragon Decision Technology},
24309  address	= {Haarlem, The Netherlands}
24310}
24311
24312@Article{	  bisschop.meeraus:development,
24313  author	= {J. Bisschop and A. Meeraus},
24314  title		= {On the Development of a General Algebraic Modeling System in a Strategic Planning
24315		  Environment},
24316  journal	= {Mathematical Programming Study},
24317  year		= {1982},
24318  volume	= {20},
24319  pages		= {1--29}
24320}
24321
24322@Misc{		  bixby.ceria.ea:miplib,
24323  author	= {R. E. Bixby and S. Ceria and C. M. McZeal and M. W. P. Savelsbergh},
24324  title		= {{MIPLIB} 3.0},
24325  howpublished	= {http://www.caam.rice.edu/\~bixby/miplib/miplib.html}
24326}
24327
24328@InProceedings{	  bjorkman.klarbring.ea:sequential,
24329  author	= {G. Bj{\"{o}}rkman and A. Klarbring and T. Larsson and M. R{\"{o}}nnqvist and B.
24330		  Sj{\"{o}}din},
24331  title		= {Sequential quadratic programming for non-linear elastic contact problems},
24332  editor	= {J. Herskovits},
24333  booktitle	= {Structural Optimization 93, The World Congress on Optimal Design of Structural
24334		  Systems},
24335  volume	= {2},
24336  year		= {1993},
24337  pages		= {301--308}
24338}
24339
24340@Article{	  bjorkman:path,
24341  author	= {G. Bj{\"o}rkman},
24342  title		= {Path Following and Critical Points for Contact Problems},
24343  journal	= {Computational Mechanics},
24344  volume	= {10},
24345  pages		= {231--246},
24346  year		= {1992}
24347}
24348
24349@Article{	  bjorkman:solution,
24350  author	= {G. Bj{\"o}rkman},
24351  title		= {The Solution of Large Displacement Frictionless Contact Problems using a Sequence
24352		  of Linear Complementarity Problems},
24353  journal	= {International Journal for Numerical Methods in Engineering},
24354  volume	= {31},
24355  pages		= {1553--1566},
24356  year		= {1991}
24357}
24358
24359@Article{	  bland:pivot,
24360  author	= {R. G. Bland},
24361  title		= {New Pivot Rules for the Simplex Method},
24362  journal	= {Mathematics of Operations Research},
24363  year		= {1977},
24364  volume	= {2},
24365  pages		= {103--107}
24366}
24367
24368@Article{	  block.levin:boundedness,
24369  author	= {H. D. Block and S. A. Levin},
24370  title		= {On the Boundedness of an Iterative Procedure for Solving a System of Linear
24371		  Inequalities},
24372  journal	= {Proceedings of the American Mathematical Society},
24373  year		= {1970},
24374  volume	= {26},
24375  pages		= {229--235}
24376}
24377
24378@Book{		  bloomer:power,
24379  author	= {J. Bloomer},
24380  title		= {Power Programming with {RPC}},
24381  publisher	= {O'Reilly and Associates, Inc.},
24382  address	= {Sebastopol, CA},
24383  year		= {1992}
24384}
24385
24386@InProceedings{	  blum.rivest:training,
24387  author	= {A. Blum and R. L. Rivest},
24388  title		= {Training a 3-Node Neural Network is {NP}-Complete},
24389  booktitle	= {Advances in Neural Information Processing Systems I},
24390  year		= {1989},
24391  editor	= {D. S. Touretzky},
24392  publisher	= {Morgan Kaufmann},
24393  address	= {San Mateo, California},
24394  pages		= {494--501}
24395}
24396
24397@InProceedings{	  boehringer.ferris.ea:exemptions,
24398  author	= {C. B{\"{o}}ehringer and M. C. Ferris and T. F. Rutherford},
24399  title		= {Exemptions, Grandfathered Permits and the Costs of Emission Restrictions: Results
24400		  from a General Equilibrium Model for Six {EU} Countries},
24401  key		= {49},
24402  booktitle	= {Economic Aspects of Environmental Policy Making in a Federal System},
24403  year		= {1995}
24404}
24405
24406@Article{	  boender.kan:bayesian,
24407  author	= {C. G. E. Boender and A. H. G. Rinooy Kan},
24408  title		= {Bayesian Stopping Rules for Global Optimization},
24409  journal	= {Mathematical Programming},
24410  year		= {1987},
24411  volume	= {37},
24412  pages		= {59--80}
24413}
24414
24415@Article{	  boggs:convergence,
24416  author	= {P. T. Boggs},
24417  title		= {The Convergence of the {B}en--{I}srael Iteration for Nonlinear Least Squares
24418		  Problems},
24419  journal	= {Mathematics of Computation},
24420  year		= {1976},
24421  volume	= {30},
24422  pages		= {512--522}
24423}
24424
24425@InProceedings{	  bolzon.cochetti.ea:computing,
24426  author	= {G. Bolzon and G. Cochetti and G. Maier and F. Tin-Loi},
24427  title		= {On computing all solutions in decohesion},
24428  booktitle	= {IUTAM (International Union of Theoretical and Applied Mechanics), 19th
24429		  International Congress of Theoretical and Applied Mechanics},
24430  year		= {1996},
24431  address	= {Kyoto}
24432}
24433
24434@InProceedings{	  bolzon.maier.ea:holonomic,
24435  author	= {G. Bolzon and G. Maier and F. Tin-Loi},
24436  title		= {Holonomic and nonholonomic simulations of quasi-brittle fracture: a comparative
24437		  study of mathematical programming approaches},
24438  booktitle	= {Fracture Mechanics of Concrete Structures},
24439  editor	= {F. H. Wittmann},
24440  series	= {Second International Conference on Fracture Mechanics of Concrete Structures
24441		  (FRAMCOS 2)},
24442  year		= {1995},
24443  publisher	= {Aedificatio Publishers},
24444  pages		= {885--898}
24445}
24446
24447@InProceedings{	  bolzon.maier.ea:holonomic*1,
24448  author	= {G. Bolzon and G. Maier and F. Tin-Loi},
24449  title		= {On holonomic structural analysis as a complementarity problem},
24450  booktitle	= {APCOM96, Seoul},
24451  year		= {1996}
24452}
24453
24454@Article{	  bolzon.maier.ea:multiplicity,
24455  author	= {G. Bolzon and G. Maier and F. Tin-Loi},
24456  title		= {On the Multiplicity of Solutions in Quasi-Brittle Fracture Computations},
24457  journal	= {Computational Mechanics},
24458  year		= {1997},
24459  volume	= {19},
24460  pages		= {511--516}
24461}
24462
24463@Article{	  bongartz.conn.ea:cute,
24464  author	= {I. Bongartz and A. R. Conn and N. Gould and Ph. L. Toint},
24465  title		= {{CUTE}: Constrained and Unconstrained Testing Environment},
24466  year		= {1995},
24467  journal	= {{ACM} Transactions on Mathematical Software},
24468  volume	= {21},
24469  pages		= {123--160}
24470}
24471
24472@Article{	  boppana:eigenvalues,
24473  author	= {R. Boppana},
24474  title		= {Eigenvalues and Graph Bisection: An Average Case Analysis},
24475  journal	= {Proc. 28th Annual Symposium on Foundations of Computer Science},
24476  pages		= {280--285},
24477  year		= {1987}
24478}
24479
24480@Article{	  bortfeld.kahler.ea:x-ray,
24481  author	= {T. R. Bortfeld and D. L. Kahler and T. J. Waldron and A. L. Boyer},
24482  title		= {{X}-ray field compensation with multileaf collimators},
24483  journal	= {International Journal of Radiation Oncology, Biology and Physics},
24484  year		= {1994},
24485  volume	= {28},
24486  number	= {3},
24487  pages		= {723--730}
24488}
24489
24490@Article{	  bortfeld.schlegel:optimization,
24491  author	= {T. Bortfeld and W. Schlegel},
24492  title		= {Optimization of beam orientations in radiation therapy: some theoretical
24493		  considerations},
24494  journal	= {Physics in Medicine and Biology},
24495  year		= {1993},
24496  volume	= {38},
24497  number	= {2},
24498  pages		= {291--304}
24499}
24500
24501@Article{	  borwein:stability,
24502  author	= {J. M. Borwein},
24503  title		= {Stability and regular points of inequality systems},
24504  journal	= {Journal of Optimization Theory and Applications},
24505  year		= {1986},
24506  volume	= {48},
24507  pages		= {9--52}
24508}
24509
24510@Article{	  boyer:present,
24511  author	= {A. L. Boyer},
24512  title		= {Present and Future Developments in Radiotherapy Treatment Units},
24513  journal	= {Seminars in Radiation Oncology},
24514  year		= {1995},
24515  volume	= {5},
24516  number	= {2},
24517  pages		= {146--155}
24518}
24519
24520@Article{	  bracken.mcgill:mathematical,
24521  author	= {J. Bracken and J. T. McGill},
24522  title		= {Mathematical programs with optimization problems in the constraints},
24523  journal	= {Operations Research},
24524  volume	= {21},
24525  year		= {1973},
24526  pages		= {37--44}
24527}
24528
24529@Article{	  bradley.fayyad.ea:mathematical,
24530  author	= {P. S. Bradley and U. M. Fayyad and O. L. Mangasarian},
24531  title		= {Mathematical Programming for Data Mining: Formulations and Challenges},
24532  journal	= {INFORMS Journal on Computing},
24533  year		= {1999},
24534  volume	= {11},
24535  pages		= {217--238}
24536}
24537
24538@TechReport{	  bradley.mangasarian.ea:clustering,
24539  author	= {P. S. Bradley and O. L. Mangasarian and W. N. Street},
24540  title		= {Clustering via Concave Minimization},
24541  institution	= {Computer Sciences Department, University of Wisconsin},
24542  year		= {1996},
24543  type		= {Mathematical Programming Technical Report},
24544  number	= {96-03},
24545  address	= {Madison, Wisconsin}
24546}
24547
24548@TechReport{	  bradley.mangasarian.ea:feature,
24549  author	= {P. S. Bradley and O. L. Mangasarian and W. N. Street},
24550  title		= {Feature Selection via Mathematical Programming},
24551  institution	= {Computer Sciences Department, University of Wisconsin},
24552  year		= {1995},
24553  type		= {Mathematical Programming Technical Report},
24554  number	= {95-21},
24555  address	= {Madison, Wisconsin}
24556}
24557
24558@Article{	  bradley.mangasarian:massive,
24559  author	= {P. S. Bradley and O. L. Mangasarian},
24560  title		= {Massive Data Discrimination via Linear Support Vector Machines},
24561  year		= {2000},
24562  journal	= {Optimization Methods and Software},
24563  volume	= {13},
24564  pages		= {1-10}
24565}
24566
24567@PhDThesis{	  brady:condition,
24568  author	= {L. Brady},
24569  title		= {Condition Constants for Solutions of Convex Inequalities},
24570  year		= {1988},
24571  address	= {Madison, Wisconsin},
24572  school	= {Computer Sciences Department, University of Wisconsin}
24573}
24574
24575@Article{	  braess:uber,
24576  author	= {D. Braess},
24577  title		= {{\"{U}}ber ein {P}aradoxon aus der {V}erkehrsplanung},
24578  journal	= {Unternehmensforschung},
24579  year		= {1968},
24580  volume	= {12},
24581  pages		= {258--268}
24582}
24583
24584@Article{	  brahme:optimization,
24585  author	= {A. Brahme},
24586  title		= {Optimization of Radiation Therapy and the Development of Multileaf Collimation},
24587  journal	= {International Journal of Radiation Oncology, Biology and Physics},
24588  year		= {1993},
24589  volume	= {25},
24590  pages		= {373--375}
24591}
24592
24593@Article{	  brahme:stationary,
24594  author	= {A. Brahme},
24595  title		= {Optimization of stationary and moving beam radiation therapy techniques},
24596  journal	= {Radiother. Oncol.},
24597  year		= {1988},
24598  volume	= {12},
24599  pages		= {129--140}
24600}
24601
24602@InCollection{	  brahme:treatment,
24603  author	= {A. Brahme},
24604  title		= {Treatment Optimization: Using Physical and Radiobiological Objective Functions},
24605  booktitle	= {Radiation Therapy Physics},
24606  publisher	= {Springer-Verlag},
24607  year		= {1995},
24608  editor	= {A. R. Smith},
24609  address	= {Berlin},
24610  pages		= {209--246}
24611}
24612
24613@TechReport{	  branch:getting,
24614  author	= {M. A. Branch},
24615  title		= {Getting {CUTE} with {M}atlab},
24616  institution	= {Cornell University},
24617  year		= {1994},
24618  type		= {Cornell Theory Center Report},
24619  number	= {CTC94TR194},
24620  address	= {Ithaca, New York}
24621}
24622
24623@Article{	  brearley.mitra.ea:analysis,
24624  author	= {A. Brearley and G. Mitra and H. Williams},
24625  title		= {Analysis of Mathematical Programming Problems Prior to Applying the Simplex
24626		  Algorithm},
24627  journal	= {Mathematical Programming},
24628  year		= {1975},
24629  volume	= {8},
24630  pages		= {54--83}
24631}
24632
24633@Article{	  bredensteiner.bennett:feature,
24634  author	= {E. Bredensteiner and K. Bennett},
24635  title		= {Feature Minimization within Decision Trees},
24636  journal	= {Computational Optimization and Applications},
24637  year		= {1998},
24638  volume	= {10},
24639  pages		= {111--126}
24640}
24641
24642@Article{	  bregman:relaxation,
24643  author	= {L. M. Bregman},
24644  title		= {The Relaxation Method of Finding the Common Point of Convex Sets and its
24645		  Application to the Solution of Problems in Convex Programming},
24646  journal	= {USSR Computational Mathematics and Mathematical Physics},
24647  year		= {1967},
24648  volume	= {7},
24649  pages		= {200--217}
24650}
24651
24652@Book{		  brenner.hall:making,
24653  author	= {D. J. Brenner and E. J. Hall},
24654  title		= {Making the Radiation Therapy Decision},
24655  publisher	= {Contemporary Books},
24656  year		= {1996},
24657  address	= {Chicago, IL}
24658}
24659
24660@Book{		  brent:algorithms,
24661  author	= {R. P. Brent},
24662  title		= {Algorithms for Minimization without Derivatives},
24663  publisher	= {Prentice-Hall, Inc},
24664  year		= {1973},
24665  address	= {Englewood Cliffs, New Jersey}
24666}
24667
24668@Article{	  brewster.mohan.ea:three,
24669  author	= {L. Brewster and R. Mohan and G. Mageras and C. Burman and S. Leibel and Z. Fuks},
24670  title		= {Three dimensional conformal treatment planning with multileaf collimators},
24671  journal	= {International Journal of Radiation Oncology, Biology and Physics},
24672  year		= {1995},
24673  volume	= {33},
24674  number	= {5},
24675  pages		= {1081--1089}
24676}
24677
24678@Article{	  brezis.lions:produits,
24679  author	= {H. Br\'{e}zis and P.--L. Lions},
24680  title		= {Produits Infinis de Resolvantes},
24681  journal	= {Israel Journal of Mathematics},
24682  year		= {1978},
24683  volume	= {29},
24684  pages		= {329--345}
24685}
24686
24687@Book{		  brezis:operateurs,
24688  author	= {H. Br\'{e}zis},
24689  title		= {Op\'{e}rateurs Maximaux Monotones et Semi-Groupes de Contractions dans les
24690		  Espaces de Hilbert},
24691  publisher	= {North-Holland},
24692  address	= {Amsterdam},
24693  year		= {1973}
24694}
24695
24696@Book{		  brooke.kendrick.ea:gams,
24697  author	= {A. Brooke and D. Kendrick and A. Meeraus},
24698  title		= {{GAMS}: {A} User's Guide},
24699  year		= {1988},
24700  publisher	= {The Scientific Press},
24701  address	= {South San Francisco, CA}
24702}
24703
24704@Article{	  brown.demarzo.ea:computing,
24705  author	= {D. J. Brown and P. M. DeMarzo and B. C. Eaves},
24706  title		= {Computing Equilibria when Asset Markets Are Incomplete},
24707  journal	= {Econometrica},
24708  year		= {1996},
24709  volume	= {64},
24710  pages		= {1--28}
24711}
24712
24713@Article{	  bruck:iterative,
24714  author	= {R. E. Bruck},
24715  title		= {An Iterative Solution of a Variational Inequality for Certain Monotone Operators
24716		  in {H}ilbert Space},
24717  journal	= {Bulletin of the American Mathematical Society},
24718  year		= {1975},
24719  volume	= {81},
24720  pages		= {890--892}
24721}
24722
24723@Article{	  bunch.parlett:direct,
24724  author	= {J. R. Bunch and B. N. Parlett},
24725  title		= {Direct Methods for Solving Symmetric Indefinite Systems of Linear Equations},
24726  journal	= {SIAM Journal on Numerical Analysis},
24727  year		= {1971},
24728  volume	= {8},
24729  pages		= {639--655}
24730}
24731
24732@Article{	  burachik.iusem.ea:enlargement,
24733  author	= {R. S. Burachik and A. N. Iusem and B. F. Svaiter},
24734  title		= {Enlargement of Monotone Operators with Applications to Variational Inequalities},
24735  year		= {1997},
24736  journal	= {Set-Valued Analysis, forthcoming}
24737}
24738
24739@TechReport{	  burachik.iusem:generalized,
24740  author	= {R. S. Burachik and A. N. Iusem},
24741  title		= {A Generalized Proximal Point Algorithm for the Nonlinear Complementarity
24742		  Problem},
24743  institution	= {Instituto de Matem\'{a}tica Pura e Aplicada},
24744  year		= {1995},
24745  type		= {Working Paper},
24746  address	= {Rio de Janeiro}
24747}
24748
24749@Article{	  burachik.iusem:generalized*1,
24750  author	= {R. S. Burachik and A. N. Iusem},
24751  title		= {A Generalized Proximal Point Algorithm for the Variational Inequality Problem in
24752		  {A} {H}ilbert Space},
24753  year		= {1998},
24754  journal	= {SIAM Journal on Optimization},
24755  volume	= {8},
24756  pages		= {197--216}
24757}
24758
24759@Article{	  burdakov:globally,
24760  author	= {O. P. Burdakov},
24761  title		= {Some Globally Convergent Modifications of {N}ewton's Method for Solving Systems
24762		  of Nonlinear Equations},
24763  journal	= {Soviet Mathematics Doklady},
24764  year		= {1980},
24765  volume	= {22},
24766  pages		= {376--379}
24767}
24768
24769@Article{	  burges:tutorial,
24770  author	= {C. J. C. Burges},
24771  title		= {A Tutorial on Support Vector Machines for Pattern Recognition},
24772  journal	= {Data Mining and Knowledge Discovery},
24773  volume	= {2},
24774  number	= {2},
24775  pages		= {121-167},
24776  year		= {1998}
24777}
24778
24779@Article{	  burke.ferris.ea:clarke,
24780  author	= {J. V. Burke and M. C. Ferris and M. Qian},
24781  title		= {On the {C}larke Subdifferential of the Distance Function to a Closed Set},
24782  journal	= {Journal of Mathematical Analysis and its Applications},
24783  year		= {1992},
24784  volume	= {166},
24785  pages		= {199--213},
24786  key		= {16}
24787}
24788
24789@Unpublished{	  burke.ferris.ea:least,
24790  author	= {J. V. Burke and M. C. Ferris and L. Qi},
24791  title		= {A Least Squares Algorithm for Nonlinear Complementarity Problems},
24792  year		= {1994},
24793  month		= mar,
24794  note		= {Manuscript},
24795  key		= {999}
24796}
24797
24798@Article{	  burke.ferris:characterization,
24799  author	= {J. V. Burke and M. C. Ferris},
24800  title		= {Characterization of Solution Sets of Convex Programs},
24801  journal	= {Operations Research Letters},
24802  year		= {1991},
24803  volume	= {10},
24804  pages		= {57--60},
24805  key		= {10}
24806}
24807
24808@Article{	  burke.ferris:gauss-newton,
24809  author	= {J. V. Burke and M. C. Ferris},
24810  title		= {A {G}auss--{N}ewton Method for Convex Composite Optimization},
24811  journal	= {Mathematical Programming},
24812  year		= {1995},
24813  volume	= {71},
24814  pages		= {179--194},
24815  url		= {ftp: //ftp.cs.wisc.edu/tech-reports/reports/1993/tr1176.ps},
24816  key		= {32}
24817}
24818
24819@Article{	  burke.ferris:weak,
24820  author	= {J. V. Burke and M. C. Ferris},
24821  title		= {Weak Sharp Minima in Mathematical Programming},
24822  journal	= {SIAM Journal on Control and Optimization},
24823  year		= {1993},
24824  volume	= {31},
24825  pages		= {1340--1359},
24826  url		= {ftp: //ftp.cs.wisc.edu/tech-reports/reports/1991/tr1050a.ps},
24827  key		= {23}
24828}
24829
24830@Article{	  burke.more.ea:convergence,
24831  author	= {J. V. Burke and J. J. Mor\'{e} and G. Toraldo},
24832  title		= {Convergence Properties of Trust Region Methods for Linear and Convex
24833		  Constraints},
24834  journal	= {Mathematical Programming},
24835  year		= {1990},
24836  volume	= {47},
24837  pages		= {305--336}
24838}
24839
24840@Article{	  burke.more:exposing,
24841  author	= {J. V. Burke and J. J. Mor\'{e}},
24842  title		= {Exposing Constraints},
24843  journal	= {SIAM Journal on Optimization},
24844  year		= {1994},
24845  volume	= {4},
24846  pages		= {573--595}
24847}
24848
24849@Article{	  burke.more:identification,
24850  author	= {J. V. Burke and J. J. Mor\'{e}},
24851  title		= {On the Identification of Active Constraints},
24852  journal	= {SIAM Journal on Numerical Analysis},
24853  year		= {1988},
24854  volume	= {25},
24855  pages		= {1197--1211}
24856}
24857
24858@Article{	  burke.poliquin:optimality,
24859  author	= {J. V. Burke and R. A. Poliquin},
24860  title		= {Optimality Conditions for Non Finite--Valued Convex Composite Functions},
24861  journal	= {Mathematical Programming},
24862  year		= {1992},
24863  volume	= {57},
24864  pages		= {103--120}
24865}
24866
24867@Article{	  burke.tseng:unified,
24868  author	= {J. V. Burke and P. Tseng},
24869  title		= {A Unified Analysis of {H}offman's Bound via {F}enchel Duality},
24870  journal	= {SIAM Journal on Optimization},
24871  year		= {1996},
24872  volume	= {6},
24873  pages		= {265--282}
24874}
24875
24876@Article{	  burke.xu:global,
24877  author	= {J. V. Burke and S. Xu},
24878  title		= {The Global Linear Convergence of a Non-Interior Path-Following Algorithm for
24879		  Linear Complementarity Problems},
24880  year		= {1998},
24881  journal	= {Mathematics of Operations Research},
24882  volume	= {23},
24883  pages		= {719--735}
24884}
24885
24886@TechReport{	  burke:algorithms,
24887  author	= {J. V. Burke},
24888  title		= {Algorithms for Solving Finite Dimensional Systems of Nonlinear Equations and
24889		  Inequalities that have both Global and Quadratic Convergence Properties},
24890  institution	= {Argonne National Laboratory},
24891  year		= {1985},
24892  address	= {Argonne, Illinois},
24893  number	= {ANL/MCS--TM--54},
24894  type		= {Mathematics and Computer Science Division Report}
24895}
24896
24897@Article{	  burke:descent,
24898  author	= {J. V. Burke},
24899  title		= {Descent Methods for Composite Nondifferentiable Optimization Problems},
24900  journal	= {Mathematical Programming},
24901  year		= {1985},
24902  volume	= {33},
24903  pages		= {260--279}
24904}
24905
24906@Article{	  burke:exact,
24907  author	= {J. V. Burke},
24908  title		= {An Exact Penalization Viewpoint of Constrained Optimization},
24909  journal	= {SIAM Journal on Control and Optimization},
24910  year		= {1991},
24911  volume	= {29},
24912  pages		= {968--998}
24913}
24914
24915@Article{	  burke:identification,
24916  author	= {J. V. Burke},
24917  title		= {On the Identification of Active Constraints {II}: The Nonconvex Case},
24918  journal	= {SIAM Journal on Numerical Analysis},
24919  year		= {1990},
24920  volume	= {27},
24921  pages		= {1081--1102}
24922}
24923
24924@Article{	  burke:robust,
24925  author	= {J. V. Burke},
24926  title		= {A Robust Trust Region Method for Constrained Nonlinear Programming Problem},
24927  journal	= {SIAM Journal on Optimization},
24928  year		= {1992},
24929  volume	= {2},
24930  pages		= {325--347}
24931}
24932
24933@Article{	  burke:second,
24934  author	= {J. V. Burke},
24935  title		= {Second Order Necessary and Sufficient Conditions for Convex Composite {NDO}},
24936  journal	= {Mathematical Programming},
24937  year		= {1987},
24938  volume	= {38},
24939  pages		= {287--302}
24940}
24941
24942@Article{	  burke:sequential,
24943  author	= {J. V. Burke},
24944  title		= {A Sequential Quadratic Programming Method for Potentially Infeasible Mathematical
24945		  Programs},
24946  journal	= {Journal of Mathematical Analysis and its Applications},
24947  year		= {1989},
24948  volume	= {139},
24949  pages		= {319--351}
24950}
24951
24952@Article{	  burman.kutcher.ea:fitting,
24953  author	= {C. Burman and G. J. Kutcher and B. Emami and M. Goitein},
24954  title		= {Fitting of Normal Tissue Tolerance Data to an Analytical Function},
24955  journal	= {International Journal of Radiation Oncology, Biology and Physics},
24956  year		= {1991},
24957  optvolume	= {21},
24958  optpages	= {123-135}
24959}
24960
24961@TechReport{	  busovaca:handling,
24962  author	= {S. Busovaca},
24963  title		= {Handling Degeneracy in a Nonlinear $\ell_1$ algorithm},
24964  institution	= {University of Waterloo},
24965  year		= {1985},
24966  address	= {Ontario},
24967  number	= {CS85 34},
24968  type		= {Technical Report}
24969}
24970
24971@Article{	  butler.martin:method,
24972  author	= {T. Butler and A. V. Martin},
24973  title		= {On a Method of {C}ourant for Minimizing Functionals},
24974  journal	= {Journal of Mathematical Physics},
24975  year		= {1962},
24976  volume	= {41},
24977  pages		= {291--299}
24978}
24979
24980@Article{	  calamai.more:projected,
24981  author	= {P. H. Calamai and J. J. Mor\'{e}},
24982  title		= {Projected Gradient Methods for Linearly Constrained Problems},
24983  journal	= {Mathematical Programming},
24984  year		= {1987},
24985  volume	= {39},
24986  pages		= {93--116}
24987}
24988
24989@Article{	  cao.ferris:genetic,
24990  author	= {M. Cao and M. C. Ferris},
24991  title		= {Genetic Algorithms in Optimization},
24992  journal	= {Journal of Undergraduate Mathematics and its Applications},
24993  year		= {1991},
24994  volume	= {12},
24995  pages		= {81--90},
24996  key		= {17}
24997}
24998
24999@Article{	  cao.ferris:interior,
25000  author	= {M. Cao and M. C. Ferris},
25001  title		= {An Interior Point Algorithm for Monotone Affine Variational Inequalities},
25002  journal	= {Journal of Optimization Theory and Applications},
25003  year		= {1994},
25004  volume	= {83},
25005  pages		= {269--283},
25006  url		= {ftp: //ftp.cs.wisc.edu/tech-reports/reports/1992/tr1101.ps},
25007  key		= {28}
25008}
25009
25010@Article{	  cao.ferris:lineality,
25011  author	= {M. Cao and M. C. Ferris},
25012  title		= {Lineality Removal for Copositive--Plus Normal Maps},
25013  year		= {1995},
25014  volume	= {2},
25015  pages		= {1--10},
25016  journal	= {Communications on Applied Nonlinear Analysis},
25017  url		= {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/94-02.ps},
25018  key		= {38}
25019}
25020
25021@Article{	  cao.ferris:pc,
25022  author	= {M. Cao and M. C. Ferris},
25023  title		= {{$P_C$} Matrices and the Linear Complementarity Problem},
25024  journal	= {Linear Algebra and Its Applications},
25025  year		= {1996},
25026  volume	= {246},
25027  pages		= {299--312},
25028  url		= {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/94-01.ps},
25029  key		= {37}
25030}
25031
25032@Article{	  cao.ferris:pivotal,
25033  author	= {M. Cao and M. C. Ferris},
25034  title		= {A Pivotal Method for Affine Variational Inequalities},
25035  journal	= {Mathematics of Operations Research},
25036  year		= {1996},
25037  volume	= {21},
25038  pages		= {44--64},
25039  url		= {ftp: //ftp.cs.wisc.edu/tech-reports/reports/1992/tr1114.ps},
25040  key		= {29}
25041}
25042
25043@PhDThesis{	  cao:piecewise,
25044  author	= {M. Cao},
25045  title		= {Piecewise Linear Homotopies and Affine Variational Inequalities},
25046  school	= {Computer Sciences Department, University of Wisconsin},
25047  year		= {1994},
25048  address	= {Madison, Wisconsin},
25049  note		= {Technical Report 1210}
25050}
25051
25052@Article{	  caroe.schultz:dual,
25053  author	= {C. C. Car{\o}e and R. Schultz},
25054  title		= {Dual Decomposition in Stochastic Integer Programming},
25055  journal	= {Operations Research Letters},
25056  volume	= {24},
25057  pages		= {37-45},
25058  year		= {1999}
25059}
25060
25061@Article{	  carol.targovnik.ea:initial,
25062  author	= {M. Carol and W. H. Grant and D. Pavord and P. Eddy and H. S. Targovnik and B.
25063		  Butler and S. Woo and J. Figura and V. Onufrey and R. Grossman and R. Selkar},
25064  title		= {Initial clinical experience with the Peacock intensity modulation of a 3-{D}
25065		  conformal radiation therapy system},
25066  journal	= {Stereotactic and Functional Neurosurgery},
25067  year		= {1996},
25068  volume	= {66},
25069  pages		= {30--34}
25070}
25071
25072@Article{	  carolan.hill.ea:empirical,
25073  author	= {W. J. Carolan and J. E. Hill and J. L. Kennington and S. Niemi and S. J.
25074		  Wichmann},
25075  title		= {An Empirical Evaluation of the {KORBX} Algorithms for Military Airlift
25076		  Applications},
25077  journal	= {Operations Research},
25078  year		= {1990},
25079  volume	= {38},
25080  pages		= {240--248}
25081}
25082
25083@Article{	  carroll:created,
25084  author	= {C. W. Carroll},
25085  title		= {The Created Response Surface Technique for Optimizing Nonlinear Restrained
25086		  Systems},
25087  journal	= {Operations Research},
25088  year		= {1961},
25089  volume	= {9},
25090  pages		= {169--184}
25091}
25092
25093@PhDThesis{	  carroll:operations,
25094  author	= {C. W. Carroll},
25095  title		= {An Operations Research Approach to the Economic Optimization of a Kraft Pulping
25096		  Process},
25097  year		= {1959},
25098  address	= {Appleton, Wisconsin},
25099  school	= {Institute of Paper Chemistry}
25100}
25101
25102@TechReport{	  casanova.dongarra:netsolve,
25103  author	= {H. Casanova and J. Dongarra},
25104  title		= {{N}et{S}olve: {A} Network Server for Solving Computational Science Problems},
25105  institution	= {University of Tennessee},
25106  year		= {1996},
25107  type		= {Technical Report}
25108}
25109
25110@TechReport{	  cavalier.soyster:computational,
25111  author	= {T. M. Cavalier and A. L. Soyster},
25112  title		= {Some Computational Experience and a Modification of the {K}armarkar Algorithm},
25113  institution	= {Pennsylvania State University},
25114  year		= {1985},
25115  address	= {Pennsylvania},
25116  number	= {85-105},
25117  type		= {ISME Working Paper}
25118}
25119
25120@TechReport{	  censor.iusem.ea:interior-point,
25121  author	= {Y. Censor and A. N. Iusem and S. A. Zenios},
25122  title		= {An Interior-Point Method with {B}regman Functions for the Variational Inequality
25123		  Problem with Paramonotone Operators},
25124  institution	= {University of Haifa},
25125  year		= {1994},
25126  type		= {Working Paper}
25127}
25128
25129@Article{	  censor.lent:iterative,
25130  author	= {Y. Censor and A. Lent},
25131  title		= {An Iterative Row-Action Method for Interval Convex Programming},
25132  journal	= {Journal of Optimization Theory and Applications},
25133  year		= {1981},
25134  volume	= {34},
25135  pages		= {275--291}
25136}
25137
25138@InCollection{	  censor.pierro.ea:iterative,
25139  author	= {Y. Censor and A. R. {De~Pierro} and T. Elfving and G. T. Herman and A. N. Iusem},
25140  title		= {On Iterative Methods for Linearly Constrained Entropy Maximization},
25141  booktitle	= {Numerical Analysis and Mathematical Modeling, Banach Center Publication Volume
25142		  XXIV},
25143  publisher	= {Banach Center},
25144  year		= {1987},
25145  editor	= {A. J. Wakulicz},
25146  address	= {Warsaw, Poland}
25147}
25148
25149@Article{	  censor.segman:block-iterative,
25150  author	= {Y. Censor and J. Segman},
25151  title		= {On Block-Iterative Entropy Maximization},
25152  journal	= {Journal of Information and Optimization Science},
25153  year		= {1987},
25154  volume	= {8},
25155  pages		= {275--291}
25156}
25157
25158@Article{	  censor.zenios:proximal,
25159  author	= {Y. Censor and S. A. Zenios},
25160  title		= {The Proximal Minimization Algorithm with ${D}$-functions},
25161  journal	= {Journal of Optimization Theory and Applications},
25162  year		= {1992},
25163  volume	= {73},
25164  pages		= {451--464}
25165}
25166
25167@Article{	  censor:parallel,
25168  author	= {Yair Censor},
25169  title		= {Parallel Application of Block-Iterative Methods in Medical Imaging and Radiation
25170		  Therapy},
25171  journal	= {Mathematical Programming},
25172  year		= {1988},
25173  volume	= {42},
25174  pages		= {307--325}
25175}
25176
25177@Article{	  censor:row-action,
25178  author	= {Yair Censor},
25179  title		= {Row-action Methods for Huge and Sparse Systems and their Applications},
25180  journal	= {SIAM Review},
25181  year		= {1981},
25182  volume	= {23},
25183  pages		= {444--466}
25184}
25185
25186@Article{	  chajakis.zenios:synchronous,
25187  author	= {E. D. Chajakis and S. A. Zenios},
25188  title		= {Synchronous and Asynchronous Implementations of Relaxation Algorithms for
25189		  Nonlinear Network Optimization},
25190  journal	= {Parallel Computing},
25191  year		= {1990},
25192  note		= {To appear}
25193}
25194
25195@Article{	  chamberlain.powell.ea:watchdog,
25196  author	= {R. M. Chamberlain and M. J. D. Powell and C. Lemar\'{e}chal},
25197  title		= {The Watchdog Technique for Forcing Convergence in Algorithms for Constrained
25198		  Optimization},
25199  journal	= {Mathematical Programming Study},
25200  year		= {1982},
25201  volume	= {16},
25202  pages		= {1--17}
25203}
25204
25205@Article{	  chan.pang:generalized,
25206  author	= {D. Chan and J. S. Pang},
25207  title		= {The Generalized Quasi-Variational Inequality Problem},
25208  journal	= {Mathematics of Operations Research},
25209  volume	= {7},
25210  pages		= {211--222},
25211  year		= {1982}
25212}
25213
25214@Article{	  charalambous:nonlinear,
25215  author	= {C. Charalambous},
25216  title		= {Nonlinear Least p--th Optimization and Nonlinear Programming},
25217  journal	= {Mathematical Programming},
25218  year		= {1977},
25219  volume	= {12},
25220  pages		= {195--225}
25221}
25222
25223@Article{	  charnes.cooper.ea:duality,
25224  author	= {A. Charnes and W. W. Cooper and K. O. Kortanek},
25225  title		= {Duality, {H}aar Programs and Finite Sequence Spaces},
25226  journal	= {Proceedings of the National Academy of Sciences of the United States},
25227  year		= {1962},
25228  pages		= {783--786}
25229}
25230
25231@Book{		  charnes.cooper.ea:introduction,
25232  author	= {A. Charnes and W. W. Cooper and A. Henderson},
25233  title		= {An Introduction to Linear Programming},
25234  year		= {1953},
25235  publisher	= {John Wiley \& Sons},
25236  address	= {New York}
25237}
25238
25239@TechReport{	  charnes.semple:practical,
25240  author	= {A. Charnes and J. Semple},
25241  title		= {Practical Error Bounds for a Class of Quadratic Programming Problems},
25242  institution	= {CCS},
25243  year		= {1991},
25244  address	= {Austin, Texas},
25245  number	= {663},
25246  type		= {Research Report}
25247}
25248
25249@InProceedings{	  charnes:fundamental,
25250  author	= {A. Charnes},
25251  title		= {Some Fundamental Theorems of Perceptron Theory and Their Geometry},
25252  booktitle	= {Computer and Information Sciences},
25253  year		= {1964},
25254  editor	= {J. T. Lou and R. H. Wilcox},
25255  publisher	= {Spartan Books},
25256  address	= {Washington, D.C.},
25257  pages		= {67--74}
25258}
25259
25260@TechReport{	  chen.chen.ea:penalized,
25261  author	= {B. Chen and X. Chen and C. Kanzow},
25262  title		= {A Penalized {F}ischer-{B}urmeister {NCP}-Function: Theoretical Investigation and
25263		  Numerical Results},
25264  institution	= {Institute of Applied Mathematics, University of Hamburg},
25265  year		= {1997},
25266  type		= {Preprint},
25267  number	= {126},
25268  address	= {Hamburg, Germany}
25269}
25270
25271@Article{	  chen.chen:global,
25272  author	= {B. Chen and X. Chen},
25273  title		= {A Global and Local Superlinear Continuation-Smoothing Method for ${P}_0$ +
25274		  ${R}_0$ {NCP} or Monotone {NCP}},
25275  journal	= {SIAM Journal on Optimization},
25276  year		= {1999},
25277  volume	= {9},
25278  pages		= {624--645}
25279}
25280
25281@Article{	  chen.ferris.ea:fatcop,
25282  author	= {Q. Chen and M. C. Ferris and J. T. Linderoth},
25283  title		= {{FATCOP} 2.0: Advanced Features in an Opportunistic Mixed Integer Programming
25284		  Solver},
25285  journal	= {Annals of Operations Research, forthcoming},
25286  year		= {2000},
25287  url		= {ftp://ftp.cs.wisc.edu/pub/dmi/tech-reports/99-11.ps},
25288  key		= {89},
25289  type		= {Data Mining Institute Technical Report},
25290  institution	= {Computer Sciences Department, University of Wisconsin},
25291  address	= {Madison, Wisconsin},
25292  number	= {99-11}
25293}
25294
25295@TechReport{	  chen.ferris:fatcop,
25296  author	= {Q. Chen and M. C. Ferris},
25297  title		= {{FATCOP}: {A} Fault Tolerant {C}ondor-{PVM} Mixed Integer Program Solver},
25298  type		= {Mathematical Programming Technical Report},
25299  institution	= {Computer Sciences Department, University of Wisconsin},
25300  address	= {Madison, Wisconsin},
25301  year		= {1999},
25302  url		= {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/99-05.ps},
25303  number	= {99-05},
25304  key		= {81},
25305  annote	= {Submitted to {\em SIOPT}}
25306}
25307
25308@Article{	  chen.florian:nonlinear,
25309  author	= {Y. Chen and M. Florian},
25310  title		= {The Nonlinear Bilevel Programming Problem: Formulations, Regularity, and
25311		  Optimality Conditions},
25312  journal	= {Optimization},
25313  year		= {1995},
25314  volume	= {32},
25315  pages		= {193--209}
25316}
25317
25318@TechReport{	  chen.florian:o-d,
25319  author	= {Y. Chen and M. Florian},
25320  title		= {{O}-{D} demand adjustment problem with congestion: Part {I}. Model analysis and
25321		  optimality conditions},
25322  type		= {Publication},
25323  number	= {CRT-94-56},
25324  institution	= {Centre de Recherche sur les Transports, Universit\'e de Montr\'eal},
25325  address	= {Montr\'eal, Canada},
25326  year		= {1994}
25327}
25328
25329@Article{	  chen.harker:continuation,
25330  author	= {B. Chen and P. T. Harker},
25331  title		= {A Continuation Method for Monotone Variational Inequalities},
25332  journal	= {Mathematical Programming},
25333  volume	= {69},
25334  pages		= {237--253},
25335  year		= {1995}
25336}
25337
25338@Article{	  chen.harker:non-interior,
25339  author	= {B. Chen and P. T. Harker},
25340  title		= {A Non-Interior-Point Continuation Method for Linear Complementarity Problems},
25341  journal	= {SIAM Journal on Matrix Analysis and Applications},
25342  year		= {1993},
25343  volume	= {14},
25344  pages		= {1168--1190}
25345}
25346
25347@Article{	  chen.harker:smooth,
25348  author	= {B. Chen and P. T. Harker},
25349  title		= {Smooth Approximations to Nonlinear Complementarity Problems},
25350  journal	= {SIAM Journal on Optimization},
25351  year		= {1997},
25352  volume	= {7},
25353  pages		= {403--420}
25354}
25355
25356@Article{	  chen.mangasarian:class,
25357  author	= {Chunhui Chen and O. L. Mangasarian},
25358  title		= {A Class of Smoothing Functions for Nonlinear and Mixed Complementarity Problems},
25359  journal	= {Computational Optimization and Applications},
25360  year		= {1996},
25361  volume	= {5},
25362  pages		= {97--138}
25363}
25364
25365@Article{	  chen.mangasarian:smoothing,
25366  author	= {Chunhui Chen and O. L. Mangasarian},
25367  title		= {Smoothing Methods for Convex Inequalities and Linear Complementarity Problems},
25368  journal	= {Mathematical Programming},
25369  year		= {1995},
25370  volume	= {78},
25371  pages		= {51--70}
25372}
25373
25374@Article{	  chen.nashed.ea:convergence,
25375  author	= {X. Chen and Z. Nashed and L. Qi},
25376  title		= {Convergence of {N}ewton's Method for Singular Smooth and Nonsmooth Equations
25377		  using Adaptive Outer Inverses},
25378  year		= {1997},
25379  journal	= {SIAM Journal on Optimization},
25380  volume	= {7},
25381  pages		= {445--462}
25382}
25383
25384@Article{	  chen.qi.ea:global,
25385  author	= {X. Chen and L. Qi and D. Sun},
25386  title		= {Global and Superlinear Convergence of the Smoothing {N}ewton Method and its
25387		  Application to General Box Constrained Variational Inequalities},
25388  year		= {1998},
25389  journal	= {Mathematics of Computation},
25390  volume	= {67},
25391  pages		= {519--540}
25392}
25393
25394@Article{	  chen.teboulle:convergence,
25395  author	= {G. Chen and M. Teboulle},
25396  title		= {A Convergence Analysis of Proximal-Like Minimization Algorithms Using {B}regman
25397		  Functions},
25398  journal	= {SIAM Journal on Optimization},
25399  year		= {1993},
25400  volume	= {3},
25401  pages		= {538--543}
25402}
25403
25404@Article{	  chen.ye:homotopy-smoothing,
25405  author	= {X.~Chen and Y.~Ye},
25406  title		= {On Homotopy-Smoothing Methods for Variational Inequalities},
25407  year		= {1999},
25408  journal	= {SIAM Journal on Control and Optimization},
25409  volume	= {37},
25410  pages		= {589--616}
25411}
25412
25413@PhDThesis{	  chen:forward-backward,
25414  author	= {G. H.--G. Chen},
25415  title		= {Forward--Backward Splitting Techniques: Theory and Applications},
25416  school	= {University of Washington},
25417  year		= {1994}
25418}
25419
25420@PhDThesis{	  chen:smoothing,
25421  author	= {Chunhui Chen},
25422  title		= {Smoothing Methods in Mathematical Programming},
25423  school	= {Computer Sciences Department, University of Wisconsin},
25424  year		= {1995},
25425  address	= {Madison, Wisconsin},
25426  note		= {Available from ftp://ftp.cs.wisc.edu/math-prog/tech-reports/},
25427  annote	= {Mathematical Programming Technical Report 95-12}
25428}
25429
25430@Book{		  cheney:introduction,
25431  author	= {E. W. Cheney},
25432  title		= {Introduction to Approximation Theory},
25433  year		= {1966},
25434  publisher	= {McGraw--Hill},
25435  address	= {New York}
25436}
25437
25438@Article{	  cho.kuterdem.ea:spherical,
25439  author	= {P. S. Cho and H. G. Kuterdem and R. J. Marks},
25440  title		= {A spherical dose model for radiosurgery treatment planning},
25441  journal	= {Physics in Medicine and Biology},
25442  year		= {1998},
25443  volume	= {43},
25444  pages		= {3145--3148}
25445}
25446
25447@Article{	  cho.lee.ea:optimization,
25448  author	= {P. S. Cho and S. Lee and R. J. Marks and S. Oh and S. Sutlief and H. Phillips},
25449  title		= {Optimization of intensity modulated beams with volume constraints using two
25450		  methods: cost function minimization and projection onto convex sets},
25451  journal	= {Medical Physics},
25452  year		= {1998},
25453  volume	= {25},
25454  number	= {4},
25455  pages		= {435--443}
25456}
25457
25458@Article{	  choi.desarbo.ea:product,
25459  author	= {S. C. Choi and W. S. DeSarbo and P. T. Harker},
25460  title		= {Product Positioning Under Price Competition},
25461  journal	= {Management Science},
25462  year		= {1990},
25463  volume	= {36},
25464  pages		= {175--199}
25465}
25466
25467@Article{	  chow.mallet-parret.ea:finding,
25468  author	= {S. N. Chow and J. Mallet--Parret and J. A. Yorke},
25469  title		= {Finding Zeroes of Maps: Homotopy Methods that are Constructive with Probability
25470		  One},
25471  journal	= {Mathematics of Computing},
25472  year		= {1978},
25473  volume	= {32},
25474  pages		= {887--899}
25475}
25476
25477@Article{	  christopherson:mathematical,
25478  author	= {D. G. Christopherson},
25479  title		= {A new mathematical method for the solution of film lubrication problems},
25480  journal	= {Proceedings of the Institute of Mechanical Engineers},
25481  volume	= {146},
25482  year		= {1941},
25483  pages		= {126--135}
25484}
25485
25486@TechReport{	  chun.lee.ea:implementation,
25487  author	= {B. J. Chun and S. J. Lee and S. M. Robinson},
25488  title		= {An Implementation of the Bundle Decomposition Algorithm},
25489  institution	= {Department of Industrial Engineering, University of Wisconsin},
25490  year		= {1991},
25491  address	= {Madison, Wisconsin},
25492  number	= {91-6}
25493}
25494
25495@Article{	  chung:np-completeness,
25496  author	= {S.--J. Chung},
25497  title		= {{NP}-Completeness of the Linear Complementarity Problem},
25498  journal	= {Journal of Optimization Theory and Applications},
25499  volume	= {60},
25500  year		= {1989},
25501  pages		= {393--399}
25502}
25503
25504@Book{		  chvatal:linear,
25505  author	= {V. Chv\'atal},
25506  title		= {Linear Programming},
25507  year		= {1983},
25508  publisher	= {W. H. Freeman and Company},
25509  address	= {New York}
25510}
25511
25512@Book{		  ciarlet:finite,
25513  author	= {P. G. Ciarlet},
25514  title		= {The Finite Element Method for Elliptic Problems},
25515  year		= {1978},
25516  publisher	= {North-Holland},
25517  address	= {New York}
25518}
25519
25520@Article{	  cinquini.contro:optimal,
25521  author	= {C. Cinquini and R. Contro},
25522  title		= {Optimal design of beams discretized by elastic plastic finite element},
25523  journal	= {Computers \& Structures},
25524  volume	= {20},
25525  year		= {1985},
25526  pages		= {475--585}
25527}
25528
25529@Book{		  clarke:optimization,
25530  author	= {F. H. Clarke},
25531  title		= {Optimization and Nonsmooth Analysis},
25532  year		= {1983},
25533  publisher	= {John Wiley \& Sons},
25534  address	= {New York}
25535}
25536
25537@InProceedings{	  cleveland.smith:genetic,
25538  crossref	= {schaeffer:third},
25539  author	= {G. A. Cleveland and S. F. Smith},
25540  title		= {Using Genetic Algorithms to Schedule Flow Shop Releases},
25541  pages		= {160--169}
25542}
25543
25544@Book{		  cochran:sampling,
25545  author	= {W. Cochran},
25546  title		= {Sampling Techniques},
25547  publisher	= {Wiley},
25548  year		= {1977},
25549  address	= {New York},
25550  edition	= {Third}
25551}
25552
25553@Article{	  coleman.conn:nonlinear,
25554  author	= {T. F. Coleman and A. R. Conn},
25555  title		= {Nonlinear Programming via an Exact Penalty Function Method: Asymptotic Analysis},
25556  journal	= {Mathematical Programming},
25557  year		= {1982},
25558  volume	= {24},
25559  pages		= {123--136}
25560}
25561
25562@Article{	  coleman.conn:nonlinear*1,
25563  author	= {T. F. Coleman and A. R. Conn},
25564  title		= {Nonlinear Programming via an Exact Penalty Function Method: Global Analysis},
25565  journal	= {Mathematical Programming},
25566  year		= {1982},
25567  volume	= {24},
25568  pages		= {137--161}
25569}
25570
25571@TechReport{	  coleman.liu:interior,
25572  author	= {T. F. Coleman and J. Liu},
25573  title		= {An interior newton method for quadratic programming},
25574  institution	= {Dept. of Computer Science, Cornell University},
25575  year		= {1993},
25576  number	= {TR 93-1388},
25577  address	= {Ithaca, NY},
25578  month		= oct
25579}
25580
25581@Article{	  coleman.more:estimation,
25582  author	= {T. F. Coleman and J. J. Mor\'{e}},
25583  title		= {Estimation of Sparse {J}acobian Matrices and Graph Coloring Problems},
25584  journal	= {SIAM Journal on Numerical Analysis},
25585  year		= {1983},
25586  volume	= {20},
25587  month		= {187--209}
25588}
25589
25590@Manual{	  coleman.verma:admat,
25591  author	= {T. F. Coleman and A. Verma},
25592  title		= {{ADMAT} User Guide},
25593  year		= {2000}
25594}
25595
25596@TechReport{	  colville:comparative,
25597  author	= {A. R. Colville},
25598  title		= {A Comparative Study on Nonlinear Programming Codes},
25599  institution	= {IBM New York Scientific Center},
25600  year		= {1968},
25601  month		= jun,
25602  number	= {320--2949},
25603  type		= {Technical Report}
25604}
25605
25606@Article{	  comi.maier:extremum,
25607  author	= {C. Comi and G. Maier},
25608  title		= {Extremum Theorem and Convergence Criterion for an Iterative Solution to the
25609		  Finite-Step Problem in Elastoplasticity with Mixed Nonlinear Hardening},
25610  journal	= {European Journal Mechanics A/Solids},
25611  volume	= {9},
25612  year		= {1990},
25613  pages		= {563--585}
25614}
25615
25616@Misc{		  condon.dahl.ea:implementing,
25617  author	= {T. Condon and H. Dahl and S. Devarajan},
25618  title		= {Implementing a Computable General Equilibrium Model on {GAMS} -- The {C}ameroon
25619		  Model},
25620  year		= {1987},
25621  howpublished	= {{DRD} Discussion Paper 290},
25622  note		= {The World Bank, Washington DC}
25623}
25624
25625@Book{		  conn.gould.ea:lancelot,
25626  author	= {A. R. Conn and N. I. M. Gould and Ph. L. Toint},
25627  title		= {{LANCELOT}: {A} {F}ortran package for Large--Scale Nonlinear Optimization
25628		  (Release {A})},
25629  year		= {1992},
25630  publisher	= {Springer Verlag},
25631  address	= {Heidelberg, Berlin},
25632  series	= {Springer Series in Computational Mathematics},
25633  number	= {17}
25634}
25635
25636@Article{	  conn.gould.ea:numerical,
25637  author	= {A. R. Conn and N. I. M. Gould and Ph. L. Toint},
25638  title		= {Numerical Experiments with the {LANCELOT} Package (Release {A}) for Large-Scale
25639		  Nonlinear Optimization},
25640  journal	= {Mathematical Programming},
25641  year		= {1996},
25642  volume	= {75},
25643  pages		= {73--110}
25644}
25645
25646@Book{		  cgt,
25647  author	= {A. R. Conn and N. I. M. Gould and Ph. L. Toint},
25648  title		= {Trust-Region Methods},
25649  year		= {2000},
25650  publisher	= {SIAM},
25651  address	= {Philadelphia, Pennsylvania}
25652}
25653
25654@InCollection{	  conn.toint:algorithm,
25655  author	= {A. R. Conn and Ph. L. Toint},
25656  title		= {An Algorithm using Quadratic Interpolation for Unconstrained Derivative Free
25657		  Optimization},
25658  booktitle	= {Nonlinear Optimization and Applications},
25659  editor	= {G. Di Pillo and F. Giannessi},
25660  year		= {1996},
25661  publisher	= {Plenum Press},
25662  address	= {New York}
25663}
25664
25665@Article{	  conry.seireg:mathematical,
25666  author	= {T. F. Conry and A. Seireg},
25667  title		= {A Mathematical Programming Method for Design for Elastic Bodies in Contact},
25668  journal	= {{ASME} Transactions Journal of Applied Mechanics},
25669  volume	= {93},
25670  year		= {1971},
25671  pages		= {387--392}
25672}
25673
25674@Article{	  cook.gerards.ea:sensitivity,
25675  author	= {W. Cook and A. M. H. Gerards and A. Schrijver and \'{E}. Tardos},
25676  title		= {Sensitivity Results in Integer Linear Programming},
25677  journal	= {Mathematical Programming},
25678  year		= {1986},
25679  volume	= {34},
25680  pages		= {251--264}
25681}
25682
25683@Article{	  cook:taxonomy,
25684  author	= {S. A. Cook},
25685  title		= {A Taxonomy of Problems with Fast Parallel Algorithms},
25686  journal	= {Information and Control},
25687  year		= {1985},
25688  volume	= {64},
25689  pages		= {2--22}
25690}
25691
25692@Article{	  cooper:gradient,
25693  author	= {R. E. M. Cooper},
25694  title		= {A gradient method of optimizing external-beam radiotherapy treatment plans},
25695  journal	= {Radiology},
25696  year		= {1978},
25697  volume	= {128},
25698  pages		= {235--243}
25699}
25700
25701@Article{	  cormack:problem,
25702  author	= {A. M. Cormack},
25703  title		= {A problem in roatation therapy with x-rays},
25704  journal	= {International Journal of Radiation Oncology, Biology and Physics},
25705  year		= {1987},
25706  volume	= {13},
25707  pages		= {623--630}
25708}
25709
25710@Article{	  cormack:problem*1,
25711  author	= {A. M. Cormack},
25712  title		= {A problem in roatation therapy with x-rays2: dose distributions with an axis of
25713		  symmetry},
25714  journal	= {International Journal of Radiation Oncology, Biology and Physics},
25715  year		= {1987},
25716  volume	= {13},
25717  pages		= {1921--1925}
25718}
25719
25720@Article{	  cottle.dantzig:complementary,
25721  author	= {R. W. Cottle and G. B. Dantzig},
25722  title		= {Complementary Pivot Theory of Mathematical Programming},
25723  journal	= {Linear Algebra and Its Applications},
25724  year		= {1968},
25725  volume	= {1},
25726  pages		= {103--125}
25727}
25728
25729@Article{	  cottle.dantzig:generalization,
25730  author	= {R. W. Cottle and G. B. Dantzig},
25731  title		= {A Generalization of the Linear Complementarity Problem},
25732  journal	= {Journal of Combinatorial Theory},
25733  year		= {1970},
25734  volume	= {8},
25735  pages		= {79--90}
25736}
25737
25738@Book{		  cottle.giannessi.ea:variational,
25739  author	= {R. W. Cottle and F. Giannessi and J.--L. Lions},
25740  title		= {Variational Inequalities and Complementarity Problems: Theory and Applications},
25741  year		= {1980},
25742  publisher	= {John Wiley \& Sons},
25743  address	= {New York}
25744}
25745
25746@InCollection{	  cottle.goheen:special,
25747  author	= {R. W. Cottle and M. S. Goheen},
25748  title		= {A Special Class of Large Quadratic Programs},
25749  pages		= {361--390},
25750  crossref	= {mangasarian.meyer.ea:nonlinear*3}
25751}
25752
25753@Article{	  cottle.golub.ea:solution,
25754  author	= {R. W. Cottle and G. H. Golub and R. S. Sacher},
25755  title		= {On the Solution of Large Structured Complementarity Problems: The Block
25756		  Partitioned Case},
25757  journal	= {Applied Mathematics and Optimization},
25758  year		= {1978},
25759  volume	= {4},
25760  pages		= {347--363}
25761}
25762
25763@Book{		  cottle.pang.ea:linear,
25764  author	= {R. W. Cottle and J. S. Pang and R. E. Stone},
25765  title		= {The Linear Complementarity Problem},
25766  year		= {1992},
25767  publisher	= {Academic Press},
25768  address	= {Boston}
25769}
25770
25771@Article{	  cottle.pang.ea:sufficient,
25772  author	= {R. W. Cottle and J. S. Pang and V. Venkateswaran},
25773  title		= {Sufficient Matrices and the Linear Complementarity Problem},
25774  journal	= {Linear Algebra and Its Applications},
25775  year		= {1989},
25776  volume	= {114/115},
25777  pages		= {231--249}
25778}
25779
25780@PhDThesis{	  cottle:nonlinear,
25781  author	= {R. W. Cottle},
25782  title		= {Nonlinear programs with positively bounded {J}acobians},
25783  school	= {Department of Mathematics, University of California},
25784  year		= {1964},
25785  address	= {Berkeley, California}
25786}
25787
25788@Article{	  cottle:nonlinear*1,
25789  author	= {R. W. Cottle},
25790  title		= {Nonlinear programs with positively bounded {J}acobians},
25791  journal	= {Journal of the Society for Industrial and Applied Mathematics},
25792  volume	= {14},
25793  year		= {1966},
25794  pages		= {147--158}
25795}
25796
25797@InCollection{	  cottle:principal,
25798  author	= {R. W. Cottle},
25799  title		= {The principal pivoting method of quadratic programming},
25800  booktitle	= {Mathematics of the Decision Sciences, Part 1},
25801  publisher	= {American Mathematical Society},
25802  editor	= {G. B. Dantzig and Jr. A. F. Veinott},
25803  address	= {Providence, Rhode Island},
25804  year		= {1968},
25805  pages		= {144--162}
25806}
25807
25808@Unpublished{	  courant:calculus,
25809  author	= {R. Courant},
25810  title		= {Calculus of Variations and Supplementary Notes and Exercises},
25811  year		= {1956},
25812  note		= {Supplementary notes by M. Kruskal and H. Rubin, revised and amended by J. Moser,
25813		  New York University}
25814}
25815
25816@Article{	  courant:variational,
25817  author	= {R. Courant},
25818  title		= {Variational Methods for the Solution of Problems of Equilibrium and Vibration},
25819  journal	= {Bulletin of the American Mathematical Society},
25820  year		= {1943},
25821  volume	= {49},
25822  pages		= {1--23}
25823}
25824
25825@Book{		  cristianini.shawe-taylor:introduction,
25826  author	= {N. Cristianini and J. Shawe-Taylor},
25827  title		= {An Introduction to Support Vector Machines},
25828  publisher	= {Cambridge University Press},
25829  address	= {Cambridge},
25830  year		= {2000}
25831}
25832
25833@Article{	  cromme:strong,
25834  author	= {L. Cromme},
25835  title		= {Strong Uniqueness},
25836  journal	= {Numerische Mathematik},
25837  year		= {1978},
25838  volume	= {29},
25839  pages		= {179--193}
25840}
25841
25842@Article{	  crowder.johnson.ea:solving,
25843  author	= {H. Crowder and E. L. Johnson and M. W. Padberg},
25844  title		= {Solving Large Scale Zero-One Linear Programming Problems},
25845  journal	= {Operations Research},
25846  year		= {1983},
25847  volume	= {31},
25848  pages		= {803--834}
25849}
25850
25851@Article{	  cryer.dempster:equivalence,
25852  author	= {C. W. Cryer and M. A. H. Dempster},
25853  title		= {Equivalence of Linear Complementarity Problems and Linear Programs in Vector
25854		  Lattice {H}ilbert Spaces},
25855  journal	= {SIAM Journal on Control and Optimization},
25856  year		= {1980},
25857  volume	= {18},
25858  pages		= {76--89}
25859}
25860
25861@Article{	  cryer:method,
25862  author	= {C. W. Cryer},
25863  title		= {The method of {C}hristopherson for solving free boundary problems for infinite
25864		  journal bearings by means of finite differences},
25865  journal	= {Mathematics of Computation},
25866  volume	= {25},
25867  year		= {1971},
25868  pages		= {435--553}
25869}
25870
25871@Article{	  cryer:solution,
25872  author	= {C. W. Cryer},
25873  title		= {The Solution of a Quadratic Programming Problem Using Systematic Overrelaxation},
25874  journal	= {SIAM Journal on Control and Optimization},
25875  year		= {1971},
25876  volume	= {9},
25877  pages		= {385--392}
25878}
25879
25880@Article{	  cryer:solution*1,
25881  author	= {C. W. Cryer},
25882  title		= {The Solution of a Quadratic Programming Using Systematic Overrelaxation},
25883  journal	= {SIAM Journal on Control},
25884  year		= {1971},
25885  volume	= {9},
25886  pages		= {385--392}
25887}
25888
25889@Manual{	  culler:split-c,
25890  author	= {D. Culler},
25891  title		= {The Split--{C} Programming Language},
25892  organization	= {Computer Science Department, University of California, Berkeley}
25893}
25894
25895@InProceedings{	  cun.denker.ea:optimal,
25896  author	= {Y. le Cun and J. S. Denker and S. A. Solla},
25897  title		= {Optimal Brain Damage},
25898  booktitle	= {Advances in Neural Information Processing Systems II {(Denver 1989)}},
25899  year		= {1990},
25900  editor	= {D. S. Touretzky},
25901  publisher	= {Morgan Kaufmann},
25902  address	= {San Mateo, California},
25903  pages		= {598--605}
25904}
25905
25906@TechReport{	  czyzyk.mehrotra.ea:pcx,
25907  author	= {J. Czyzyk and S. Mehrotra and S. J. Wright},
25908  title		= {{PCx} Users Guide},
25909  institution	= {Optimization Technology Center, Argonne National Laboratory and Northwestern
25910		  University},
25911  year		= {1996},
25912  type		= {Technical Report},
25913  number	= {OTC 96/01}
25914}
25915
25916@TechReport{	  czyzyk.mesnier.ea:network-enabled,
25917  address	= {Argonne, Illinois},
25918  author	= {J. Czyzyk and M. P. Mesnier and J. J. Mor\'e},
25919  institution	= {Argonne National Laboratory},
25920  number	= {MCS-P615-0996},
25921  title		= {The {N}etwork-{E}nabled {O}ptimization {S}erver},
25922  type		= {Preprint},
25923  year		= {1996}
25924}
25925
25926@Article{	  czyzyk.wisniewski.ea:optimization,
25927  title		= {Optimization Case Studies in the {NEOS} Guide},
25928  author	= {J. Czyzyk and T. Wisniewski and S. J. Wright},
25929  journal	= {SIAM Review},
25930  volume	= {41},
25931  pages		= {148--163},
25932  year		= {1999}
25933}
25934
25935@Article{	  dai.laan.ea:simplicial,
25936  author	= {Y. Dai and G. van der Laan and A. J. J. Talman and Y. Yamamoto},
25937  title		= {A Simplicial Algorithm for the Nonlinear Stationary Problem on an Unbounded
25938		  Polyhedron},
25939  journal	= {SIAM Journal on Optimization},
25940  year		= {1991},
25941  volume	= {1},
25942  pages		= {151--165}
25943}
25944
25945@Article{	  dai.talman:linear,
25946  author	= {Y. Dai and D. Talman},
25947  title		= {Linear Stationary Point Problems on Unbounded Polyhedra},
25948  journal	= {Mathematics of Operations Research},
25949  year		= {1993},
25950  pages		= {635--644}
25951}
25952
25953@Book{		  daniel:approximate,
25954  author	= {J. W. Daniel},
25955  title		= {The approximate minimization of functionals},
25956  year		= {1971},
25957  publisher	= {Prentice-Hall, Inc},
25958  address	= {Englewood Cliffs, New Jersey}
25959}
25960
25961@Article{	  danskin:theory,
25962  author	= {J. M. Danskin},
25963  title		= {The Theory of Min--Max, with Applications},
25964  journal	= {SIAM Journal on Applied Mathematics},
25965  year		= {1964},
25966  volume	= {14},
25967  pages		= {641--664}
25968}
25969
25970@Book{		  danskin:theory*1,
25971  author	= {J. M. Danskin},
25972  title		= {The Theory of Min--Max},
25973  year		= {1967},
25974  publisher	= {Springer-Verlag},
25975  address	= {New York}
25976}
25977
25978@InCollection{	  dantzig.cottle:positive,
25979  author	= {G. B. Dantzig and R. W. Cottle},
25980  title		= {Positive (semi-)definite programming},
25981  booktitle	= {Nonlinear Programming},
25982  publisher	= {North-Holland},
25983  editor	= {J. Abadie},
25984  address	= {Amsterdam},
25985  year		= {1967},
25986  pages		= {55--73}
25987}
25988
25989@Article{	  dantzig.manne:complementarity,
25990  author	= {G. B. Dantzig and A. S. Manne},
25991  title		= {A Complementarity Algorithm for an Optimal Captial Path with Invariant
25992		  Proportions},
25993  journal	= {Journal of Economic Theory},
25994  year		= {1974},
25995  volume	= {9},
25996  pages		= {312--323}
25997}
25998
25999@Article{	  dantzig.wolfe:decomposition,
26000  author	= {G. B. Dantzig and P. Wolfe},
26001  title		= {Decomposition Principle for Linear Programs},
26002  journal	= {Operations Research},
26003  year		= {1960},
26004  volume	= {8},
26005  pages		= {101--111}
26006}
26007
26008@Book{		  dantzig:linear,
26009  author	= {G. B. Dantzig},
26010  title		= {Linear Programming and Extensions},
26011  year		= {1963},
26012  publisher	= {Princeton University Press},
26013  address	= {Princeton, New Jersey}
26014}
26015
26016@Manual{	  dash:xpress-mp,
26017  title		= {{XPRESS-MP} User Guide},
26018  organization	= {Dash Associates},
26019  address	= {Blisworth House, Blisworth, Northants, UK},
26020  note		= {http://www.dashopt.com/}
26021}
26022
26023@Book{		  davis:handbook,
26024  author	= {L. D. Davis},
26025  title		= {The Handbook of Genetic Algorithms},
26026  year		= {1990},
26027  publisher	= {Van Nostrand Reinhold}
26028}
26029
26030@TechReport{	  davis:users,
26031  author	= {T. A. Davis},
26032  title		= {Users' guide for the unsymmetric-pattern multifrontal Package ({UMFPACK})},
26033  type		= {{Technical Report}},
26034  year		= {1993},
26035  institution	= {Computer and Information Sciences Department, University of Florida},
26036  address	= {Gainesville, Florida}
26037}
26038
26039@TechReport{	  dax:computation,
26040  author	= {A. Dax},
26041  title		= {The Computation of Descent Directions at Degenerate Points},
26042  institution	= {Hydrological Service of Israel},
26043  year		= {1985},
26044  type		= {Technical Report}
26045}
26046
26047@Article{	  dax:note,
26048  author	= {A. Dax},
26049  title		= {A Note on Optimality Conditions for the Euclidean Multifacility Location
26050		  Problem},
26051  journal	= {Mathematical Programming},
26052  year		= {1986},
26053  volume	= {36},
26054  pages		= {72--80}
26055}
26056
26057@Article{	  deasy:multiple,
26058  author	= {J. O. Deasy},
26059  title		= {Multiple local minima in radiotherapy optimization problems with dose volume
26060		  constraints},
26061  journal	= {Medical Physics},
26062  year		= {1997},
26063  optvolume	= {24},
26064  optnumber	= {7},
26065  optpages	= {1157-1161}
26066}
26067
26068@Article{	  deboor.ron:computational,
26069  author	= {C. {deBoor} and A. Ron},
26070  title		= {Computational Aspects of Polynomial Interpolation in Several Variables},
26071  journal	= {Mathematics of Computation},
26072  year		= {1992},
26073  volume	= {58},
26074  pages		= {705--727}
26075}
26076
26077@Article{	  debremaecker.ferris.ea:compressional,
26078  author	= {J.--C. {De~Bremaecker} and M. C. Ferris and D. Ralph},
26079  title		= {Compressional Fractures considered as Contact Problems and Mixed Complementarity
26080		  Problems},
26081  year		= {2000},
26082  key		= {82},
26083  journal	= {Engineering Fracture Mechanics},
26084  volume	= {66},
26085  pages		= {287--303}
26086}
26087
26088@Article{	  debremaecker.ferris:comparison,
26089  author	= {J.--C. {De~Bremaecker} and M. C. Ferris},
26090  title		= {A Comparison of Two Algorithms for Solving Closed Crack Problems},
26091  year		= {2000},
26092  key		= {90},
26093  url		= {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/00-01.ps},
26094  journal	= {Engineering Fracture Mechanics},
26095  volume	= {66},
26096  pages		= {601--605},
26097  institution	= {Computer Sciences Department, University of Wisconsin},
26098  address	= {Madison, Wisconsin},
26099  number	= {00-01}
26100}
26101
26102@Article{	  dedonato.maier:mathematical,
26103  author	= {O. {De~Donato} and G. Maier},
26104  title		= {Mathematical programming methods for the inelastic analysis of reinforced
26105		  concrete frames allowing for limited rotation capacity},
26106  journal	= {International Journal for Numerical Methods in Engineering},
26107  volume	= {4},
26108  year		= {1972},
26109  pages		= {307--329}
26110}
26111
26112@Book{		  deimling:nonlinear,
26113  author	= {K. Deimling},
26114  title		= {Nonlinear Functional Analysis},
26115  publisher	= {Springer-Verlag},
26116  year		= {1985}
26117}
26118
26119@PhDThesis{	  dejong:analysis,
26120  author	= {K. A. De~Jong},
26121  title		= {An Analysis of the Behavior of a Class of Genetic Adaptive Systems},
26122  year		= {1975},
26123  school	= {University of Michigan},
26124  note		= {Dissertation Abstracts International 36(10), 5140B}
26125}
26126
26127@Article{	  deleone.mangasarian.ea:multi-sweep,
26128  author	= {R. {De~Leone} and O. L. Mangasarian and T.-H. Shiau},
26129  title		= {Multi-Sweep Asynchronous Parallel Successive Overelaxation for the Nonsymmetric
26130		  Linear Complementarity Problem},
26131  journal	= {Annals of Operations Research},
26132  year		= {1990},
26133  volume	= {22},
26134  pages		= {43--54}
26135}
26136
26137@InCollection{	  deleone.mangasarian:serial,
26138  author	= {R. {De~Leone} and O. L. Mangasarian},
26139  title		= {Serial and Parallel Solution of Large Scale Linear Programs by Augmented
26140		  {L}agrangian Successive Overrelaxation},
26141  booktitle	= {Optimization, Parallel Processing and Applications},
26142  publisher	= {Springer-Verlag},
26143  year		= {1988},
26144  editor	= {A. Kurzhanski and K. Neumann and D. Pallaschke},
26145  volume	= {304},
26146  series	= {Lecture Notes in Economics and Mathematical Systems},
26147  pages		= {103--124},
26148  address	= {Berlin}
26149}
26150
26151@TechReport{	  deluca.facchinei.ea:combining,
26152  author	= {T. {De~Luca} and F. Facchinei and C. Kanzow},
26153  title		= {Combining Equation-Based Methods for the Solution of Large-Scale Nonlinear
26154		  Complementarity Problems: Theory and Numerical Results},
26155  type		= {Preprint},
26156  institution	= {Institute of Applied Mathematics, University of Hamburg},
26157  year		= {1996}
26158}
26159
26160@TechReport{	  deluca.facchinei.ea:general,
26161  author	= {T. {De~Luca} and F. Facchinei and C. Kanzow},
26162  title		= {A General Framework for Solving Nonlinear Complementarity Problems: Theory and
26163		  Numerical Results},
26164  type		= {Preprint},
26165  institution	= {Institute of Applied Mathematics, University of Hamburg},
26166  year		= {1997}
26167}
26168
26169@Article{	  deluca.facchinei.ea:semismooth,
26170  author	= {T. {De~Luca} and F. Facchinei and C. Kanzow},
26171  title		= {A Semismooth Equation Approach to the Solution of Nonlinear Complementarity
26172		  Problems},
26173  journal	= {Mathematical Programming},
26174  volume	= {75},
26175  pages		= {407--439},
26176  year		= {1996}
26177}
26178
26179@Article{	  deluca.facchinei.ea:theoretical,
26180  author	= {T. {De~Luca} and F. Facchinei and C. Kanzow},
26181  title		= {A Theoretical and Numerical Comparison of some Semismooth Algorithms for
26182		  Complementarity Problems},
26183  year		= {1999},
26184  journal	= {Computational Optimization and Applications, forthcoming}
26185}
26186
26187@Article{	  demarzo.eaves:computing,
26188  author	= {P. M. DeMarzo and B. C. Eaves},
26189  title		= {Computing Equilibria of {GEI} by Relocalization on a Grassmann Manifold},
26190  journal	= {Journal of Mathematical Economics},
26191  year		= {1996},
26192  volume	= {26},
26193  pages		= {479--497}
26194}
26195
26196@Article{	  dembo.steihaug:truncated,
26197  author	= {R. S. Dembo and T. Steihaug},
26198  title		= {Truncated {N}ewton Method Algorithms for Large--Scale Unconstrained
26199		  Optimization},
26200  journal	= {Mathematical Programming},
26201  year		= {1983},
26202  volume	= {26},
26203  pages		= {190--212}
26204}
26205
26206@Article{	  dembo:performance,
26207  author	= {R. S. Dembo},
26208  title		= {The Performance of {NLPNET}, {A} Large--Scale Nonlinear Network Optimizer},
26209  journal	= {Mathematical Programming Study},
26210  year		= {1986},
26211  volume	= {26},
26212  pages		= {245--248}
26213}
26214
26215@Article{	  demoor.vandenberghe.ea:generalized,
26216  author	= {B. {De~Moor} and L. Vandenberghe and J. Vandewalle},
26217  title		= {The generalized linear complementarity problem and an algorithm to find all its
26218		  solutions},
26219  journal	= {Mathematical Programming},
26220  volume	= {57},
26221  year		= {1992},
26222  pages		= {415--426}
26223}
26224
26225@Book{		  demyanov.vasilev:nondifferentiable,
26226  author	= {V. F. Dem\'{y}anov and L. V. Vasil\'{e}v},
26227  title		= {Nondifferentiable Optimization},
26228  publisher	= {Optimization Software, Inc.},
26229  year		= {1985},
26230  address	= {New York}
26231}
26232
26233@Book{		  dennis.schnabel:numerical,
26234  author	= {J. E. Dennis and R. B. Schnabel},
26235  title		= {Numerical Methods for Unconstrained Optimization and Nonlinear Equations},
26236  year		= {1983},
26237  publisher	= {Prentice-Hall, Inc},
26238  address	= {Englewood Cliffs, New Jersey}
26239}
26240
26241@Article{	  dennis.torczon:direct,
26242  author	= {J. E. Dennis and V. Torczon},
26243  title		= {Direct Search Methods on Parallel Machines},
26244  journal	= {SIAM Journal on Optimization},
26245  year		= {1991},
26246  volume	= {1},
26247  pages		= {448--474}
26248}
26249
26250@TechReport{	  depierro.iusem:convergence,
26251  author	= {A. R. {De~Pierro} and A. N. Iusem},
26252  title		= {Convergence Properties of Iterative Methods for Symmetric Positive Semidefinite
26253		  Linear Complementarity Problems},
26254  institution	= {Instituto de Matematica, Elasticita e Ciencia da Computacao},
26255  year		= {1990},
26256  address	= {Universidade Estadual de Campinas, CP 6065, Campinas, 13081, SP, Brazil}
26257}
26258
26259@Article{	  depierro.iusem:relaxed,
26260  author	= {A. R. {De~Pierro} and A. N. Iusem},
26261  title		= {A Relaxed Version of {B}regman's Method for Convex Programming},
26262  journal	= {Journal of Optimization Theory and Applications},
26263  year		= {1986},
26264  volume	= {51},
26265  pages		= {421--440}
26266}
26267
26268@Book{		  dervis.melo.ea:general,
26269  author	= {K. Dervis and J. de Melo and S. Robinson},
26270  title		= {General Equilibrium Models of Development Policy},
26271  publisher	= {Cambridge University Press},
26272  year		= {1982},
26273  address	= {Cambridge, England}
26274}
26275
26276@Article{	  deschutter.demoor:minimal,
26277  author	= {B. {De~Schutter} and B. {De~Moor}},
26278  title		= {Minimal Realization in the Max Algebra is an Extended Linear Complementarity
26279		  Problem},
26280  journal	= {Systems \& Control Letters},
26281  year		= {1995},
26282  pages		= {103--111}
26283}
26284
26285@Article{	  desilets.golden.ea:predicting,
26286  author	= {L. DeSilets and B. Golden and Q. Wang and R. Kumar},
26287  title		= {Predicting Salinity in the {C}hesapeake {B}ay Using Backpropagation},
26288  journal	= {Computers \& Operations Research},
26289  year		= {1992},
26290  volume	= {19},
26291  pages		= {277--285}
26292}
26293
26294@PhDThesis{	  desilva:sensitivity,
26295  author	= {A. H. DeSilva},
26296  title		= {Sensitivity Formulas for Nonlinear Factorable Programming and their Application
26297		  to the Solution of an Implicitly Defined Optimization Model of {US} Crude Oil
26298		  Production},
26299  school	= {George Washington University},
26300  address	= {Washington, D.C.},
26301  year		= {1978}
26302}
26303
26304@TechReport{	  dijkstra:cooperating,
26305  author	= {E. W. Dijkstra},
26306  title		= {Cooperating Sequential Processes},
26307  institution	= {Technological University},
26308  year		= {1965},
26309  address	= {Eindhoven, The Netherlands},
26310  number	= {EWD--123},
26311  type		= {Technical Report}
26312}
26313
26314@Article{	  dikin:iterative,
26315  author	= {I. I. Dikin},
26316  title		= {Iterative Solution of Problems of Linear and Quadratic Programming},
26317  journal	= {Soviet Mathematics Doklady},
26318  year		= {1967},
26319  volume	= {8},
26320  pages		= {674--675}
26321}
26322
26323@InCollection{	  dipillo.grippo.ea:class,
26324  author	= {G. Di~Pillo and L. Grippo and F. Lampariello},
26325  title		= {A Class of Methods for the Solution of Optimization Problems with Inequalities},
26326  booktitle	= {System Modelling and Optimization},
26327  year		= {1981},
26328  editor	= {R. F. Drenick and F. Kozin},
26329  publisher	= {Springer-Verlag},
26330  address	= {Berlin}
26331}
26332
26333@Article{	  dipillo.grippo:augmented,
26334  author	= {G. Di~Pillo and L. Grippo},
26335  title		= {An Augmented {L}agrangian for Inequality Constraints in Nonlinear Programming
26336		  Problems},
26337  journal	= {Journal of Optimization Theory and Applications},
26338  year		= {1982},
26339  volume	= {36},
26340  pages		= {495--519}
26341}
26342
26343@Article{	  dipillo.grippo:class,
26344  author	= {G. Di~Pillo and L. Grippo},
26345  title		= {A New Class of Augmented {L}agrangians in Nonlinear Programming},
26346  journal	= {SIAM Journal on Control and Optimization},
26347  year		= {1979},
26348  volume	= {17},
26349  pages		= {618--628}
26350}
26351
26352@Article{	  dipillo.grippo:continuously,
26353  author	= {G. Di~Pillo and L. Grippo},
26354  title		= {A Continuously Differentiable Exact Penalty Function for Nonlinear Programming
26355		  Problems with Inequality Constraints},
26356  journal	= {SIAM Journal on Control and Optimization},
26357  year		= {1985},
26358  volume	= {23},
26359  pages		= {72--84}
26360}
26361
26362@Article{	  dipillo.grippo:exact,
26363  author	= {G. Di~Pillo and L. Grippo},
26364  title		= {An Exact Penalty Method with Global Convergence Properties for Nonlinear
26365		  Programming Problems},
26366  journal	= {Mathematical Programming},
26367  year		= {1986},
26368  volume	= {36},
26369  pages		= {1--18}
26370}
26371
26372@TechReport{	  dirkse.ferris.ea:gams,
26373  author	= {S. P. Dirkse and M. C. Ferris and P. V. Preckel and T. Rutherford},
26374  title		= {The {GAMS} Callable Program Library for Variational and Complementarity Solvers},
26375  institution	= {Computer Sciences Department, University of Wisconsin},
26376  year		= {1994},
26377  address	= {Madison, Wisconsin},
26378  number	= {94-07},
26379  type		= {Mathematical Programming Technical Report},
26380  url		= {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/94-07.ps},
26381  key		= {25}
26382}
26383
26384@InProceedings{	  dirkse.ferris:crash,
26385  crossref	= {ferris.pang:complementarity},
26386  author	= {S. P. Dirkse and M. C. Ferris},
26387  title		= {Crash Techniques for Large-Scale Complementarity Problems},
26388  pages		= {40--61},
26389  url		= {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/95-22.ps},
26390  key		= {52}
26391}
26392
26393@Article{	  dirkse.ferris:mcplib,
26394  author	= {S. P. Dirkse and M. C. Ferris},
26395  title		= {{MCPLIB}: {A} Collection of Nonlinear Mixed Complementarity Problems},
26396  journal	= {Optimization Methods and Software},
26397  pages		= {319--345},
26398  volume	= {5},
26399  year		= {1995},
26400  url		= {ftp: //ftp.cs.wisc.edu/tech-reports/reports/1994/tr1215.ps},
26401  key		= {36}
26402}
26403
26404@InCollection{	  dirkse.ferris:modeling,
26405  author	= {S. P. Dirkse and M. C. Ferris},
26406  title		= {Modeling and Solution Environments for {MPEC}: {GAMS} \& {MATLAB}},
26407  year		= {1999},
26408  pages		= {127--148},
26409  editor	= {M. Fukushima and L. Qi},
26410  booktitle	= {Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods},
26411  publisher	= {Kluwer Academic Publishers},
26412  url		= {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/97-09.ps},
26413  key		= {62}
26414}
26415
26416@Article{	  dirkse.ferris:path,
26417  author	= {S. P. Dirkse and M. C. Ferris},
26418  title		= {The {PATH} Solver: {A} Non-Monotone Stabilization Scheme for Mixed
26419		  Complementarity Problems},
26420  journal	= {Optimization Methods and Software},
26421  pages		= {123--156},
26422  volume	= {5},
26423  year		= {1995},
26424  url		= {ftp: //ftp.cs.wisc.edu/tech-reports/reports/1993/tr1179.ps},
26425  key		= {33}
26426}
26427
26428@Article{	  dirkse.ferris:pathsearch,
26429  author	= {S. P. Dirkse and M. C. Ferris},
26430  title		= {A Pathsearch Damped {N}ewton Method for Computing General Equilibria},
26431  journal	= {Annals of Operations Research},
26432  vol		= {68},
26433  year		= {1996},
26434  pages		= {211--232},
26435  url		= {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/94-03.ps},
26436  key		= {39}
26437}
26438
26439@InCollection{	  dirkse.ferris:traffic,
26440  author	= {S. P. Dirkse and M. C. Ferris},
26441  title		= {Traffic Modeling and Variational Inequalities using {GAMS}},
26442  booktitle	= {Operations Research and Decision Aid Methodologies in Traffic and Transportation
26443		  Management},
26444  publisher	= {Springer-Verlag},
26445  year		= {1998},
26446  editor	= {Ph. L. Toint and M. Labbe and K. Tanczos and G. Laporte},
26447  series	= {NATO ASI Series F},
26448  volume	= {166},
26449  pages		= {136--163},
26450  key		= {61},
26451  url		= {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/97-06.ps}
26452}
26453
26454@PhDThesis{	  dirkse:robust,
26455  author	= {S. P. Dirkse},
26456  title		= {Robust Solution of Mixed Complementarity Problems},
26457  school	= {Computer Sciences Department, University of Wisconsin},
26458  year		= {1994},
26459  address	= {Madison, Wisconsin},
26460  note		= {Available from ftp://ftp.cs.wisc.edu/math-prog/tech-reports/},
26461  annote	= {Mathematical Programming Technical Report 94-12}
26462}
26463
26464@TechReport{	  dixon.mills:neural,
26465  author	= {L. C. Dixon and D. J. Mills},
26466  title		= {Neural Nets for Massively Parallel Optimisation},
26467  institution	= {Hatfield Polytechnic},
26468  year		= {1992},
26469  address	= {Hatfield, Hertforshire, England},
26470  number	= {Numerical Optimisation Centre Technical Report No. 259}
26471}
26472
26473@Article{	  dontchev:local,
26474  author	= {A. L. Dontchev},
26475  title		= {Local Convergence of the {N}ewton method for Generalized Equations},
26476  journal	= {C.R. Acad. Sci. Paris Series I},
26477  year		= {1996},
26478  volume	= {332},
26479  pages		= {327--331}
26480}
26481
26482@Article{	  douglas.rachford:numerical,
26483  author	= {J. Douglas and H. H. Rachford},
26484  title		= {On the Numerical Solution of Heat Conduction Problems in Two and Three Space
26485		  Variables},
26486  journal	= {Transactions of the American Mathematical Society},
26487  year		= {1956},
26488  volume	= {82},
26489  pages		= {421--439}
26490}
26491
26492@Article{	  drud:conopt,
26493  author	= {A. Drud},
26494  title		= {{CONOPT}: {A} {GRG} Code for Large Sparse Dynamic Nonlinear Optimization
26495		  Problems},
26496  journal	= {Mathematical Programming},
26497  year		= {1985},
26498  volume	= {31},
26499  pages		= {153--191}
26500}
26501
26502@Article{	  dsouza.meyer.ea:mixed,
26503  author	= {W. D. D'Souza and R. R. Meyer and M. C. Ferris and B. R. Thomadsen},
26504  title		= {Mixed Integer Programming Models for Prostate Brachytherapy Treatment
26505		  Optimization},
26506  journal	= {Medical Physics},
26507  year		= {1999},
26508  key		= {85},
26509  volume	= {26},
26510  number	= {6},
26511  pages		= {1099}
26512}
26513
26514@TechReport{	  dsouza.meyer.ea:mixed*1,
26515  author	= {W. D. D'Souza and R. R. Meyer and M. C. Ferris and B. R. Thomadsen},
26516  title		= {Mixed Integer Programming Models for Prostate Brachytherapy Treatment
26517		  Optimization},
26518  year		= {1999},
26519  key		= {87},
26520  url		= {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/99-08.ps},
26521  institution	= {Computer Sciences Department, University of Wisconsin},
26522  address	= {Madison, Wisconsin},
26523  number	= {99-08},
26524  type		= {Mathematical Programming Technical Report},
26525  annote	= {Submitted to }
26526}
26527
26528@Article{	  dsouza.meyer.ea:iterative,
26529  author	= {W. D. D'Souza and R. R. Meyer and B. R. Thomadsen and M. C. Ferris},
26530  title		= {An Iterative Sequential Mixed-Integer Approach to Automated Prostate
26531		  Brachytherapy Treatment Optimization},
26532  year		= {2000},
26533  key		= {96},
26534  journal	= {Physics and Medicine in Biology, forthcoming}
26535}
26536
26537@Article{	  du.yu.ea:multileaf,
26538  author	= {M. N. Du and C. X. Yu and M. Symons and D. Yan and R. Taylor and R. C. Matter and
26539		  G. Gustafson and A. Martinez and J. W. Wong},
26540  title		= {A multileaf collimator field prescription preparation system for conventional
26541		  radiotherapy},
26542  journal	= {International Journal of Radiation Oncology, Biology and Physics},
26543  year		= {1994},
26544  volume	= {30},
26545  number	= {3},
26546  pages		= {707--714}
26547}
26548
26549@Article{	  duda.fossum:pattern,
26550  author	= {R. O. Duda and H. Fossum},
26551  title		= {Pattern Classification by Iteratively Determined Linear and Piecewise Linear
26552		  Discriminant Functions},
26553  journal	= {IEEE Transactions on Electronic Computers},
26554  year		= {1966},
26555  volume	= {15},
26556  pages		= {220--232}
26557}
26558
26559@Book{		  duda.hart:pattern,
26560  author	= {R. O. Duda and P. E. Hart},
26561  title		= {Pattern Classification and Scene Analysis},
26562  year		= {1973},
26563  publisher	= {John Wiley \& Sons},
26564  address	= {New York}
26565}
26566
26567@Book{		  duff.erisman.ea:direct,
26568  author	= {I. S. Duff and A. M. Erisman and J. K. Reid},
26569  title		= {Direct Methods for Sparse Matrices},
26570  publisher	= {Oxford University Press},
26571  year		= {1986},
26572  address	= {Oxford, England}
26573}
26574
26575@InCollection{	  duffin:infinite,
26576  author	= {R. J. Duffin},
26577  title		= {Infinite Programs},
26578  booktitle	= {Linear Inequalities and Related Systems},
26579  year		= {1975},
26580  editor	= {H. W. Kuhn and A. W. Tucker},
26581  publisher	= {Princeton University Press},
26582  address	= {Princeton, New Jersey},
26583  pages		= {157--170}
26584}
26585
26586@Article{	  dunn.sachs:effect,
26587  author	= {J. C. Dunn and E. Sachs},
26588  title		= {The Effect of Perturbations on the Convergence Rates of Optimization Algorithms},
26589  journal	= {Applied Mathematics and Optimization},
26590  year		= {1983},
26591  volume	= {10},
26592  pages		= {143--157}
26593}
26594
26595@Article{	  dunn:convergence,
26596  author	= {J. C. Dunn},
26597  title		= {On the Convergence of Projected Gradient Processes to Singular Critical Points},
26598  journal	= {Journal of Optimization Theory and Applications},
26599  year		= {1987},
26600  volume	= {55},
26601  pages		= {203--216}
26602}
26603
26604@Article{	  dunn:global,
26605  author	= {J. C. Dunn},
26606  title		= {Global and Asymptotic Convergence Rate Estimates for a Class of Projected
26607		  Gradient Processes},
26608  journal	= {SIAM Journal on Control and Optimization},
26609  year		= {1981},
26610  volume	= {19},
26611  pages		= {368--400}
26612}
26613
26614@Article{	  dunn:rates,
26615  author	= {J. C. Dunn},
26616  title		= {Rates of Convergence for Conditional Gradient Algorithms Near Singular and
26617		  Nonsingular Extremals},
26618  journal	= {SIAM Journal on Control and Optimization},
26619  year		= {1979},
26620  volume	= {17},
26621  pages		= {187--211}
26622}
26623
26624@Article{	  dupuis.simha:sampling,
26625  author	= {P. Dupuis and R. Simha},
26626  title		= {On Sampling-Controlled Stochastic Approximation},
26627  journal	= {{IEEE} Transactions on Automatic Control},
26628  year		= {1991},
26629  volume	= {36},
26630  pages		= {915--924}
26631}
26632
26633@TechReport{	  eager.ferris.ea:models,
26634  author	= {D. L. Eager and M. C. Ferris and M. K. Vernon},
26635  title		= {Models for Optimized Regional Caching in Heterogeneous Video-On-Demand Systems},
26636  institution	= {Computer Sciences Department, University of Wisconsin},
26637  year		= {1999},
26638  type		= {Technical Report},
26639  number	= {1402},
26640  address	= {Madison, Wisconsin},
26641  url		= {http: //www.cs.wisc.edu/tech-reports/reports/1999/tr1402.ps.Z},
26642  key		= {84}
26643}
26644
26645@InProceedings{	  eager.ferris.ea:optimized,
26646  author	= {D. L. Eager and M. C. Ferris and M. K. Vernon},
26647  title		= {Optimized Regional Caching for On-Demand Data Delivery},
26648  year		= {1999},
26649  booktitle	= {Multimedia Computing and Networking, Proceedings of {SPIE}},
26650  volume	= {3654},
26651  address	= {Bellingham, Washington},
26652  url		= {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/98-10.ps},
26653  key		= {69},
26654  pages		= {301--316},
26655  annote	= {18 percent acceptance rate}
26656}
26657
26658@Article{	  eager.ferris.ea:optimized*1,
26659  author	= {D. L. Eager and M. C. Ferris and M. K. Vernon},
26660  title		= {Optimized Caching in Systems with Heterogeneous Client Populations},
26661  journal	= {Performance Evaluation},
26662  year		= {2000},
26663  key		= {72},
26664  url		= {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/98-15.ps},
26665  volume	= {42},
26666  pages		= {163--185}
26667}
26668
26669@InProceedings{	  eager.vernon:dynamic,
26670  author	= {D. L. Eager and M. K. Vernon},
26671  title		= {Dynamic Skyscraper Broadcasts for Video-On-Demand},
26672  year		= {1998},
26673  booktitle	= {Proceedings of the 4th International Workshop on Multimedia Information Systems
26674		  ({MIS '98})},
26675  pages		= {18--32},
26676  address	= {Istanbul, Turkey}
26677}
26678
26679@Article{	  eaves.lemke:equivalence,
26680  author	= {B. C. Eaves and C. E. Lemke},
26681  title		= {Equivalence of {LCP} and {PLS}},
26682  journal	= {Mathematics of Operations Research},
26683  year		= {1981},
26684  volume	= {6},
26685  pages		= {475--484}
26686}
26687
26688@Article{	  eaves.rothblum:relationships,
26689  author	= {B. C. Eaves and U. G. Rothblum},
26690  title		= {Relationships of Properties of Piecewise Affine Maps over Ordered Fields},
26691  journal	= {Linear Algebra and Its Applications},
26692  year		= {1990},
26693  volume	= {132},
26694  pages		= {1--63}
26695}
26696
26697@Article{	  eaves:basic,
26698  author	= {B. C. Eaves},
26699  title		= {On the Basic Theorem of Complementarity},
26700  journal	= {Mathematical Programming},
26701  year		= {1971},
26702  volume	= {1},
26703  pages		= {68--87}
26704}
26705
26706@Article{	  eaves:computing,
26707  author	= {B. C. Eaves},
26708  title		= {Computing Stationary Points},
26709  journal	= {Mathematical Programming Study},
26710  year		= {1978},
26711  volume	= {7},
26712  pages		= {1--14}
26713}
26714
26715@InCollection{	  eaves:computing*1,
26716  author	= {B. C. Eaves},
26717  title		= {Computing Stationary Points, Again},
26718  pages		= {391--405},
26719  crossref	= {mangasarian.meyer.ea:nonlinear*3}
26720}
26721
26722@Article{	  eaves:homotopies,
26723  author	= {B. C. Eaves},
26724  title		= {Homotopies for Computation of Fixed Points},
26725  journal	= {Mathematical Programming},
26726  year		= {1972},
26727  volume	= {3},
26728  pages		= {1--22}
26729}
26730
26731@Article{	  eaves:linear,
26732  author	= {B. C. Eaves},
26733  title		= {The Linear Complementarity Problem},
26734  journal	= {Management Science},
26735  year		= {1971},
26736  volume	= {17},
26737  pages		= {612--634}
26738}
26739
26740@Article{	  eaves:quadratic,
26741  author	= {B. C. Eaves},
26742  title		= {On Quadratic Programming},
26743  journal	= {Management Science},
26744  year		= {1971},
26745  volume	= {17},
26746  pages		= {698--711}
26747}
26748
26749@InProceedings{	  eaves:short,
26750  author	= {B. C. Eaves},
26751  title		= {A Short Course in Solving Equations with {PL} Homotopies},
26752  booktitle	= {Nonlinear Programming},
26753  organization	= {American Mathematical Society},
26754  year		= {1976},
26755  editor	= {R. W. Cottle and C. E. Lemke},
26756  publisher	= {SIAM--AMS Proceedings},
26757  address	= {Providence, RI},
26758  pages		= {73--143}
26759}
26760
26761@InCollection{	  ebiefung.kostreva:global,
26762  author	= {A. A. Ebiefung and M. M. Kostreva},
26763  title		= {Global Solvability of Generalized Linear Complementarity Problems and a Related
26764		  Class of Polynomial Complementarity Problems},
26765  editors	= {C. Floudas and P. Pardalos},
26766  booktitle	= {Recent Advances in Global Optimization},
26767  publisher	= {Princeton University Press},
26768  pages		= {102--124},
26769  year		= {1991}
26770}
26771
26772@TechReport{	  ebiefung.kostreva:z-matrices,
26773  author	= {A. A. Ebiefung and M. M. Kostreva},
26774  title		= {{Z}--Matrices annd the Generalized Linear Complementarity Problem},
26775  institution	= {Department of Mathematical Sciences, Clemson University},
26776  year		= {1991},
26777  number	= {608},
26778  address	= {Clemson, South Carolina}
26779}
26780
26781@TechReport{	  eckstein.bertsekas:alternating,
26782  author	= {J. Eckstein and D. P. Bertsekas},
26783  title		= {An Alternating Direction Method for Linear Programming},
26784  institution	= {Harvard Business School},
26785  year		= {1990},
26786  type		= {Working Paper},
26787  number	= {90-063},
26788  address	= {Boston, MA}
26789}
26790
26791@Article{	  eckstein.bertsekas:douglas-rachford,
26792  author	= {J. Eckstein and D. P. Bertsekas},
26793  title		= {On the {D}ouglas-{R}achford Splitting Method and the Proximal Point Algorithm for
26794		  Maximal Monotone Operators},
26795  journal	= {Mathematical Programming},
26796  year		= {1992},
26797  pages		= {293--318},
26798  volume	= {55}
26799}
26800
26801@Article{	  eckstein.bertsekas:douglas-rachford*1,
26802  author	= {J. Eckstein and D. P. Bertsekas},
26803  title		= {On the {D}ouglas--{R}achford Splitting Method and the Proximal Point Algorithm
26804		  for Maximal Monotone Operators},
26805  journal	= {Mathematical Programming},
26806  year		= {1991},
26807  note		= {To appear}
26808}
26809
26810@TechReport{	  eckstein.ferris:operator,
26811  author	= {J. Eckstein and M. C. Ferris},
26812  title		= {Operator Splitting Methods for Monotone Linear Complementarity Problems},
26813  institution	= {Thinking Machines Corporation},
26814  year		= {1992},
26815  address	= {Cambridge, MA 02142},
26816  number	= {239},
26817  type		= {TMC},
26818  key		= {26}
26819}
26820
26821@Article{	  eckstein.ferris:operator*1,
26822  author	= {J. Eckstein and M. C. Ferris},
26823  title		= {Operator Splitting Methods for Monotone Affine Variational Inequalities, with a
26824		  Parallel Application to Optimal Control},
26825  volume	= {10},
26826  pages		= {218--235},
26827  year		= {1998},
26828  journal	= {INFORMS Journal on Computing},
26829  url		= {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/94-17.ps},
26830  key		= {44}
26831}
26832
26833@Article{	  eckstein.ferris:smooth,
26834  author	= {J. Eckstein and M. C. Ferris},
26835  title		= {Smooth Methods of Multipliers for Complementarity Problems},
26836  key		= {58},
26837  url		= {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/97-01.ps},
26838  year		= {1999},
26839  journal	= {Mathematical Programming},
26840  volume	= {86},
26841  pages		= {65--90}
26842}
26843
26844@InProceedings{	  eckstein.hart.ea:resource,
26845  author	= {J. Eckstein and W. E. Hart and C. A. Phillips},
26846  title		= {Resource Management in a Parallel Mixed Integer Programming Package},
26847  booktitle	= {Intel Supercomputer Users Group Thirteenth Annual Conference},
26848  year		= {1997},
26849  note		= {www.cs.sandia.gov/ISUG97}
26850}
26851
26852@Article{	  eckstein:alternating,
26853  author	= {J. Eckstein},
26854  title		= {The Alternating Step Method for Monotropic Programming on the {Connection Machine
26855		  CM-2}},
26856  journal	= {ORSA Journal on Computing},
26857  year		= {to appear}
26858}
26859
26860@Article{	  eckstein:approximate,
26861  author	= {J. Eckstein},
26862  title		= {Approximate Iterations in {B}regman-Function-Based Proximal Algorithms},
26863  year		= {1998},
26864  journal	= {Mathematical Programming},
26865  volume	= {83},
26866  pages		= {113--124}
26867}
26868
26869@Article{	  eckstein:communication,
26870  author	= {J. Eckstein},
26871  title		= {How Much Communication Does Parallel Branch and Bound Need},
26872  journal	= {{INFORMS} Journal on Computing},
26873  volume	= {9},
26874  year		= {1997},
26875  pages		= {15--29}
26876}
26877
26878@Article{	  eckstein:distributed,
26879  author	= {J. Eckstein},
26880  title		= {Distributed Versus Centralized Control for Parallel Branch and Bound: {M}ixed
26881		  Integer Programming on the {CM}-5},
26882  journal	= {Computational Optimization and Applications},
26883  volume	= {7},
26884  pages		= {199--220},
26885  year		= {1997}
26886}
26887
26888@TechReport{	  eckstein:lions-mercier,
26889  author	= {J. Eckstein},
26890  title		= {The {L}ions--{M}ercier Splitting Algorithm and the Alternating Direction Method
26891		  as instances of the Proximal Point Algorithm},
26892  institution	= {MIT},
26893  year		= {1988},
26894  address	= {Cambridge, Massachusetts},
26895  number	= {LIDS-P-1769}
26896}
26897
26898@Article{	  eckstein:nonlinear,
26899  author	= {J. Eckstein},
26900  title		= {Nonlinear Proximal Point Algorithms Using {B}regman Functions, with Applications
26901		  to Convex Programming},
26902  journal	= {Mathematics of Operations Research},
26903  year		= {1993},
26904  pages		= {202--226},
26905  volume	= {18}
26906}
26907
26908@Article{	  eckstein:parallel,
26909  author	= {J. Eckstein},
26910  title		= {Parallel Branch-and-Bound Algorithms for General Mixed Integer Programming on the
26911		  {CM}-5},
26912  journal	= {SIAM Journal on Optimization},
26913  volume	= {4},
26914  pages		= {794--814},
26915  year		= {1994}
26916}
26917
26918@TechReport{	  eckstein:smooth,
26919  author	= {J. Eckstein},
26920  title		= {Smooth Methods of Multipliers for Monotone Complementarity Problems},
26921  institution	= {Rutgers Center for Operations Research, Rutgers University},
26922  address	= {New Brunswick, New Jersey},
26923  year		= {1996},
26924  type		= {Research Report},
26925  number	= {27-96}
26926}
26927
26928@PhDThesis{	  eckstein:splitting,
26929  author	= {J. Eckstein},
26930  title		= {Splitting Methods for Monotone Operators, with Applications to Parallel
26931		  Optimization},
26932  school	= {Massachusetts Institute of Technology},
26933  year		= {1989},
26934  address	= {Cambridge, MA},
26935  note		= {Report LIDS-TH-1877, Laboratory for Information and Decision Systems, M.I.T.}
26936}
26937
26938@Article{	  eglese:simulated,
26939  author	= {R. W. Eglese},
26940  title		= {Simulated Annealing: {A} Tool for Operational Research},
26941  journal	= {European Journal of Operations Research},
26942  year		= {1990},
26943  volume	= {46},
26944  pages		= {271--281}
26945}
26946
26947@Book{		  ekeland.temam:convex,
26948  author	= {I. Ekeland and R. Temam},
26949  title		= {Convex Analysis and Variational Problems},
26950  year		= {1976},
26951  publisher	= {North--Holland},
26952  address	= {Amsterdam}
26953}
26954
26955@Article{	  ekeland:variational,
26956  author	= {I. Ekeland},
26957  title		= {On the Variational Principle},
26958  journal	= {Journal of Mathematical Analysis and Applications},
26959  year		= {1974},
26960  volume	= {47},
26961  pages		= {324--353}
26962}
26963
26964@TechReport{	  el-bakry.tapia.ea:formulation,
26965  author	= {A. S. El-Bakry and R. A. Tapia and T. Tsuchiya and Y. Zhang},
26966  title		= {On the formulation and theory of the primal-dual {N}ewton interior-point method
26967		  for nonlinear programming},
26968  type		= {{Technical Report TR92-40}},
26969  institution	= {{Department of Computational and Applied Mathematics, Rice University}},
26970  year		= {1992}
26971}
26972
26973@Article{	  eldersveld.saunders:block,
26974  author	= {S. K. Eldersveld and M. A. Saunders},
26975  title		= {A Block-{LU} Update for Large--Scale Linear Programming},
26976  journal	= {SIAM Journal on Matrix Analysis and Applications},
26977  year		= {1992},
26978  volume	= {13},
26979  pages		= {191--201}
26980}
26981
26982@Article{	  elster.neumaier:grid,
26983  author	= {C. Elster and A. Neumaier},
26984  title		= {A Grid Algorithm for Bound Constrained Optimization of Noisy Functions},
26985  journal	= {{IMA} Journal of Numerical Analysis},
26986  year		= {1995},
26987  volume	= {15},
26988  pages		= {585--608}
26989}
26990
26991@Article{	  epema.livny.ea:worldwide,
26992  author	= {D. H. J. Epema and M. Livny and R. van Dantzig and X. Evers and J. Pruyne},
26993  title		= {A Worldwide Flock of Condors: Load Sharing among Workstation Clusters},
26994  journal	= {Journal on Future Generations of Computer Systems},
26995  year		= {1996},
26996  volume	= {12},
26997  pages		= {53--65}
26998}
26999
27000@Book{		  ermoliev.editors:numerical,
27001  author	= {Y. Ermoliev and R. J.-B. Wets {(editors)}},
27002  title		= {Numerical Techniques for Stochastic Optimization Problems},
27003  year		= {1988},
27004  publisher	= {Springer-Verlag},
27005  address	= {Berlin}
27006}
27007
27008@TechReport{	  evett.spiehler:rule,
27009  author	= {I. W. Evett and E. J. Spiehler},
27010  title		= {Rule Induction in Forensic Science},
27011  institution	= {Central Research Establishment, Home Office Forensic Science Service},
27012  year		= {1987},
27013  address	= {Aldermaston, Reading, Berkshire RG7 4PN},
27014  type		= {Technical Report}
27015}
27016
27017@Article{	  evtushenko.purtov:sufficient,
27018  author	= {Y. G. Evtushenko and V. A. Purtov},
27019  title		= {Sufficient Conditions for a Minimum for Nonlinear Programming Problems},
27020  journal	= {Soviet Mathematics Doklady},
27021  year		= {1984},
27022  volume	= {30},
27023  pages		= {313--316}
27024}
27025
27026@Article{	  facchinei.fischer.ea:regularity,
27027  author	= {F. Facchinei and A. Fischer and C. Kanzow},
27028  title		= {Regularity Properties of a Semismooth Reformulation of Variational Inequalities},
27029  journal	= {SIAM Journal on Optimization},
27030  year		= {1998},
27031  volume	= {8},
27032  pages		= {850--869}
27033}
27034
27035@Article{	  facchinei.fischer.ea:semismooth,
27036  title		= {A Semismooth {N}ewton Method for Variational Inequalities: {T}he Case of Box
27037		  Constraints},
27038  author	= {Facchinei, Francisco and Fischer, Andreas and Kanzow, Christian},
27039  journal	= {Complementarity and Variational Problems: State of the Art},
27040  volume	= {92},
27041  pages		= {76},
27042  year		= {1997}
27043}
27044
27045@TechReport{	  facchinei.fischer.ea:simply,
27046  author	= {F. Facchinei and A. Fischer and C. Kanzow and J. -M. Peng},
27047  title		= {A Simply Constrained Optimization Reformulation of {KKT} Systems Arising from
27048		  Variational Inequalities},
27049  institution	= {University of Hamburg},
27050  year		= {1996}
27051}
27052
27053@Article{	  facchinei.jiang.ea:smoothing,
27054  author	= {F. Facchinei and H. Jiang and L. Qi},
27055  title		= {A Smoothing Method for Mathematical Programs with Equilibrium Constraints},
27056  year		= {1999},
27057  journal	= {Mathematical Programming},
27058  volume	= {85},
27059  pages		= {107--134}
27060}
27061
27062@Article{	  facchinei.kanzow:nonsmooth,
27063  author	= {F. Facchinei and C. Kanzow},
27064  title		= {A Nonsmooth Inexact {N}ewton Method for the solution of Large-Scale Nonlinear
27065		  Complementarity Problems},
27066  year		= {1997},
27067  journal	= {Mathematical Programming},
27068  volume	= {76},
27069  pages		= {493--512}
27070}
27071
27072@Article{	  facchinei.kanzow:unconstrained,
27073  author	= {F. Facchinei and C. Kanzow},
27074  title		= {On Unconstrained and Constrained Stationary Points of the {I}mplicit
27075		  {L}agrangian},
27076  year		= {1997},
27077  journal	= {Journal of Optimization Theory and Applications},
27078  volume	= {92},
27079  pages		= {99--115}
27080}
27081
27082@TechReport{	  facchinei.pang:total,
27083  author	= {F. Facchinei and J. S. Pang},
27084  title		= {Total stability of variational inequalities},
27085  institution	= {Universit\'a di Roma ``La Sapienza'', Dipartimento di Informatica e Sistemistica},
27086  year		= {1988},
27087  type		= {Manuscript},
27088  address	= {Roma, Italy}
27089}
27090
27091@Article{	  facchinei.soares:merit,
27092  author	= {F. Facchinei and J. Soares},
27093  title		= {A New Merit Function for Nonlinear Complementarity Problems and a Related
27094		  Algorithm},
27095  journal	= {SIAM Journal on Optimization},
27096  year		= {1997},
27097  volume	= {7},
27098  pages		= {225--247}
27099}
27100
27101@InCollection{	  facchinei.soares:testing,
27102  author	= {F. Facchinei and J. Soares},
27103  title		= {Testing a new class of algorithms for nonlinear complementarity problems},
27104  booktitle	= {Variational Inequalities and Network Equilibrium Problems},
27105  publisher	= {Plenum Press},
27106  address	= {New York},
27107  editor	= {F. Giannessi and A. Maugeri},
27108  year		= {1995},
27109  pages		= {69--83}
27110}
27111
27112@InProceedings{	  fahlman.lebiere:cascade-correlation,
27113  author	= {S. E. Fahlman and C. Lebiere},
27114  title		= {The cascade-correlation learning architecture},
27115  booktitle	= {Advances in Neural Information Processing Systems II {(Denver 1989)}},
27116  year		= {1990},
27117  editor	= {D. S. Touretzky},
27118  publisher	= {Morgan Kaufmann},
27119  address	= {San Mateo, California},
27120  pages		= {524--532}
27121}
27122
27123@InProceedings{	  fang.geiser.ea:software,
27124  author	= {G. Fang and B. Geiser and T. R. Mackie},
27125  title		= {Software system for {UW}/{GE} tomotherapy prototype},
27126  booktitle	= {Proceedings of the XII International Conference on the Use of Computers in
27127		  Radiation Therapy, Salt Lake City},
27128  year		= {1997},
27129  editor	= {D. D. Leavitt and G. Starkshall},
27130  publisher	= {Medical Physics Publishing},
27131  address	= {St. Louis, Missouri},
27132  pages		= {332--334}
27133}
27134
27135@Book{		  fang.puthenpura:linear,
27136  author	= {S.--C. Fang and S. Puthenpura},
27137  title		= {Linear Optimization and Extensions},
27138  year		= {1993},
27139  publisher	= {Prentice-Hall, Inc},
27140  address	= {Englewood Cliffs, New Jersey}
27141}
27142
27143@Article{	  fayard.plateau:algorithm,
27144  author	= {D. Fayard and G. Plateau},
27145  title		= {An Algorithm for the Solution of the 0--1 Knapsack Problem},
27146  journal	= {Computing},
27147  year		= {1982},
27148  volume	= {28},
27149  pages		= {269--287}
27150}
27151
27152@Book{		  feller:introduction,
27153  author	= {W. Feller},
27154  title		= {An Introduction to Probability Theory and its Applications},
27155  publisher	= {John Wiley \& Sons},
27156  year		= {1968},
27157  address	= {New York}
27158}
27159
27160@Article{	  ferris.fourer.ea:expressing,
27161  author	= {M. C. Ferris and R. Fourer and D. M. Gay},
27162  title		= {Expressing Complementarity Problems and Communicating them to Solvers},
27163  journal	= {SIAM Journal on Optimization},
27164  volume	= {9},
27165  pages		= {991--1009},
27166  year		= {1999},
27167  url		= {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/98-02.ps},
27168  key		= {65},
27169  institution	= {Computer Sciences Department, University of Wisconsin},
27170  address	= {Madison, Wisconsin},
27171  number	= {98-02},
27172  type		= {Mathematical Programming Technical Report}
27173}
27174
27175@TechReport{	  ferris.horn:nlp2mcp,
27176  author	= {M. C. Ferris and J. D. Horn},
27177  title		= {{NLP2MCP}: Automatic conversion of nonlinear programs into mixed complementarity
27178		  problems},
27179  year		= {1998},
27180  institution	= {Computer Sciences Department, University of Wisconsin},
27181  note		= {In preparation}
27182}
27183
27184@Article{	  ferris.horn:partitioning,
27185  author	= {M. C. Ferris and J. D. Horn},
27186  title		= {Partitioning Mathematical Programs for Parallel Solution},
27187  year		= {1998},
27188  volume	= {80},
27189  pages		= {35--62},
27190  url		= {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/tr1232.ps},
27191  journal	= {Mathematical Programming},
27192  key		= {40}
27193}
27194
27195@Article{	  ferris.kanzow.ea:feasible,
27196  author	= {M. C. Ferris and C. Kanzow and T. S. Munson},
27197  title		= {Feasible Descent Algorithms for Mixed Complementarity Problems},
27198  year		= {1999},
27199  journal	= {Mathematical Programming},
27200  volume	= {86},
27201  pages		= {475--497},
27202  url		= {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/98-04.ps},
27203  key		= {67}
27204}
27205
27206@InCollection{	  ferris.kanzow:complementarity,
27207  author	= {M. C. Ferris and C. Kanzow},
27208  title		= {Complementarity and Related Problems: {A} Survey},
27209  booktitle	= {Handbook of Applied Optimization, forthcoming},
27210  key		= {74},
27211  publisher	= {Oxford University Press},
27212  year		= {2000},
27213  editor	= {P. M. Pardalos and M. G. C. Resende},
27214  url		= {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/98-17.ps},
27215  institution	= {Computer Sciences Department, University of Wisconsin},
27216  address	= {Madison, Wisconsin},
27217  number	= {98-17},
27218  type		= {Mathematical Programming Technical Report}
27219}
27220
27221@Article{	  ferris.lucidi.ea:nonmonotone,
27222  author	= {M. C. Ferris and S. Lucidi and M. Roma},
27223  title		= {Nonmonotone Curvilinear Stabilization Techniques for Unconstrained Optimization},
27224  journal	= {Computational Optimization and Applications},
27225  volume	= {6},
27226  pages		= {117--136},
27227  year		= {1996},
27228  url		= {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/94-16.ps},
27229  key		= {43}
27230}
27231
27232@TechReport{	  ferris.lucidi:globally,
27233  author	= {M. C. Ferris and S. Lucidi},
27234  title		= {Globally Convergent Methods for Nonlinear Equations},
27235  institution	= {Computer Sciences Department, University of Wisconsin},
27236  year		= {1991},
27237  address	= {Madison, Wisconsin},
27238  number	= {1030},
27239  url		= {ftp: //ftp.cs.wisc.edu/tech-reports/reports/1991/tr1030.ps},
27240  key		= {21}
27241}
27242
27243@Article{	  ferris.lucidi:nonmonotone,
27244  author	= {M. C. Ferris and S. Lucidi},
27245  title		= {Nonmonotone Stabilization Methods for Nonlinear Equations},
27246  journal	= {Journal of Optimization Theory and Applications},
27247  year		= {1994},
27248  volume	= {81},
27249  pages		= {53--71},
27250  key		= {30}
27251}
27252
27253@Article{	  ferris.mangasarian:breast,
27254  author	= {M. C. Ferris and O. L. Mangasarian},
27255  title		= {Breast Cancer Diagnosis via Linear Programming},
27256  key		= {50},
27257  journal	= {{IEEE} Computational Science and Engineering},
27258  year		= {1995},
27259  volume	= {2},
27260  pages		= {70--71}
27261}
27262
27263@Article{	  ferris.mangasarian:error,
27264  author	= {M. C. Ferris and O. L. Mangasarian},
27265  title		= {Error Bounds and Strong Upper Semicontinuity for Monotone Affine Variational
27266		  Inequalities},
27267  journal	= {Annals of Operations Research},
27268  year		= {1993},
27269  volume	= {47},
27270  pages		= {293--305},
27271  url		= {ftp://ftp.cs.wisc.edu/tech-reports/reports/1991/tr1056a.ps},
27272  key		= {24}
27273}
27274
27275@Article{	  ferris.mangasarian:finite,
27276  author	= {M. C. Ferris and O. L. Mangasarian},
27277  title		= {Finite Perturbation of Convex Programs},
27278  journal	= {Applied Mathematics and Optimization},
27279  year		= {1991},
27280  volume	= {23},
27281  pages		= {263--273},
27282  key		= {08}
27283}
27284
27285@Book{		  ferris.mangasarian:linear,
27286  author	= {M. C. Ferris and O. L. Mangasarian},
27287  title		= {Linear Programming via {MATLAB}},
27288  publisher	= {in preparation},
27289  year		= {1995},
27290  address	= {Madison, Wisconsin}
27291}
27292
27293@Article{	  ferris.mangasarian:minimum,
27294  author	= {M. C. Ferris and O. L. Mangasarian},
27295  title		= {Minimum Principle Sufficiency},
27296  journal	= {Mathematical Programming},
27297  year		= {1992},
27298  volume	= {57},
27299  pages		= {1--14},
27300  key		= {11}
27301}
27302
27303@Article{	  ferris.mangasarian:parallel,
27304  author	= {M. C. Ferris and O. L. Mangasarian},
27305  title		= {Parallel Constraint Distribution},
27306  journal	= {SIAM Journal on Optimization},
27307  year		= {1991},
27308  volume	= {1},
27309  pages		= {487--500},
27310  url		= {ftp://ftp.cs.wisc.edu/tech-reports/reports/1990/tr971a.ps},
27311  key		= {18}
27312}
27313
27314@Article{	  ferris.mangasarian:parallel*1,
27315  author	= {M. C. Ferris and O. L. Mangasarian},
27316  title		= {Parallel Variable Distribution},
27317  journal	= {SIAM Journal on Optimization},
27318  year		= {1994},
27319  volume	= {4},
27320  pages		= {815--832},
27321  url		= {ftp://ftp.cs.wisc.edu/tech-reports/reports/1993/tr1175.ps},
27322  key		= {31}
27323}
27324
27325@Article{	  ferris.meeraus.ea:computing,
27326  title		= {Computing {W}ardropian Equilibrium in a Complementarity Framework},
27327  author	= {M. C. Ferris and A. Meeraus and T. F. Rutherford},
27328  journal	= {Optimization Methods and Software},
27329  year		= {1999},
27330  volume	= {10},
27331  pages		= {669--685},
27332  url		= {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/95-03.ps},
27333  key		= {45}
27334}
27335
27336@Article{	  ferris.mesnier.ea:neos,
27337  author	= {M. C. Ferris and M. P. Mesnier and J. Mor\'{e}},
27338  title		= {{NEOS} and {C}ondor: Solving Nonlinear Optimization Problems over the
27339		  {I}nternet},
27340  year		= {2000},
27341  journal	= {{ACM} Transactions on Mathematical Software},
27342  key		= {54},
27343  volume	= {26},
27344  pages		= {1--18},
27345  url		= {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/96-08.ps},
27346  institution	= {Computer Sciences Department, University of Wisconsin},
27347  address	= {Madison, Wisconsin},
27348  number	= {96-08},
27349  type		= {Mathematical Programming Technical Report},
27350  note		= {Also available as ANL/MCS-P708-0398, Mathematics and Computer Science Division,
27351		  Argonne National Laboratory},
27352  annote	= {Revised version of: The {NEOS} System for Complementarity Problems: {PATH},
27353		  1996}
27354}
27355
27356@InCollection{	  ferris.meyer:models,
27357  author	= {M. C. Ferris and R. R. Meyer},
27358  title		= {Models and Solution for On-Demand Data Delivery Problems},
27359  url		= {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/99-04.ps},
27360  key		= {80},
27361  booktitle	= {Approximation and Complexity in Numerical Optimization: Continuous and Discrete
27362		  Problems},
27363  editor	= {P. M. Pardalos},
27364  series	= {Nonconvex Optimization and its Applications},
27365  volume	= {42},
27366  address	= {Dordrect},
27367  year		= {2000},
27368  pages		= {175--188},
27369  publisher	= {Kluwer},
27370  type		= {Mathematical Programming Technical Report},
27371  institution	= {Computer Sciences Department, University of Wisconsin},
27372  number	= {99-04}
27373}
27374
27375@InProceedings{	  ferris.munson.ea:homotopy,
27376  author	= {M. C. Ferris and T. S. Munson and D. Ralph},
27377  title		= {A Homotopy Method for Mixed Complementarity Problems based on the {PATH} Solver},
27378  booktitle	= {Numerical Analysis 1999},
27379  key		= {88},
27380  year		= {2000},
27381  editor	= {D. F. Griffiths and G. A. Watson},
27382  series	= {Research Notes in Mathematics},
27383  url		= {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/99-09.ps},
27384  address	= {London},
27385  pages		= {143--167},
27386  publisher	= {Chapman and Hall},
27387  institution	= {Computer Sciences Department, University of Wisconsin},
27388  number	= {99-09},
27389  type		= {Mathematical Programming Technical Report}
27390}
27391
27392@TechReport{	  ferris.munson.ea:practical,
27393  author	= {M. C. Ferris and T. S. Munson and K. Sinapiromsaran},
27394  title		= {A Practical Approach to Sample-Path Simulation Optimization},
27395  type		= {Data Mining Institute Technical Report},
27396  institution	= {Computer Sciences Department, University of Wisconsin},
27397  address	= {Madison, Wisconsin},
27398  year		= {2000},
27399  url		= {ftp://ftp.cs.wisc.edu/pub/dmi/tech-reports/00-03.ps},
27400  number	= {00-03},
27401  key		= {92},
27402  annote	= {To appear in WSC 2000}
27403}
27404
27405@InCollection{	  ferris.munson:case,
27406  author	= {M. C. Ferris and T. S. Munson},
27407  title		= {Case Studies in Complementarity: Improving Model Formulation},
27408  booktitle	= {Ill--Posed Variational Problems and Regularization Techniques},
27409  key		= {73},
27410  pages		= {79--98},
27411  publisher	= {Springer Verlag},
27412  year		= {1999},
27413  editor	= {M. Th\'{e}ra and R. Tichatschke},
27414  number	= {477},
27415  series	= {Lecture Notes in Economics and Mathematical Systems},
27416  address	= {Berlin},
27417  url		= {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/98-16.ps},
27418  type		= {Mathematical Programming Technical Report},
27419  institution	= {Computer Sciences Department, University of Wisconsin}
27420}
27421
27422@Article{	  ferris.munson:complementarity,
27423  author	= {M. C. Ferris and T. S. Munson},
27424  title		= {Complementarity Problems in {GAMS} and the {PATH} Solver},
27425  year		= {2000},
27426  volume	= {24},
27427  pages		= {165--188},
27428  journal	= {Journal of Economic Dynamics and Control},
27429  url		= {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/98-12.ps},
27430  key		= {70},
27431  type		= {Mathematical Programming Technical Report},
27432  institution	= {Computer Sciences Department, University of Wisconsin},
27433  address	= {Madison, Wisconsin},
27434  number	= {98-12}
27435}
27436
27437@Misc{		  ferris.munson:condor,
27438  author	= {M. C. Ferris and T. S. Munson},
27439  title		= {Condor Modeling Language Interface},
27440  organization	= {Computer Sciences Department, University of Wisconsin},
27441  address	= {Madison, Wisconsin},
27442  note		= {ftp://ftp.cs.wisc.edu/math-prog/condor}
27443}
27444
27445@Manual{	  ferris.munson:gams,
27446  author	= {M. C. Ferris and T. S. Munson},
27447  title		= {{GAMS}/{PATH} User Guide: Version 4.3},
27448  organization	= {Department of Computer Sciences, University of Wisconsin, Madison}
27449}
27450
27451@Article{	  ferris.munson:interfaces,
27452  author	= {M. C. Ferris and T. S. Munson},
27453  title		= {Interfaces to {PATH} 3.0: Design, Implementation and Usage},
27454  journal	= {Computational Optimization and Applications},
27455  volume	= {12},
27456  pages		= {207--227},
27457  year		= {1999},
27458  url		= {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/97-12.ps},
27459  key		= {63},
27460  institution	= {Computer Sciences Department, University of Wisconsin},
27461  address	= {Madison, Wisconsin},
27462  number	= {97-12},
27463  type		= {Mathematical Programming Technical Report}
27464}
27465
27466@TechReport{	  ferris.munson:interior,
27467  author	= {M. C. Ferris and T. S. Munson},
27468  title		= {Interior Point Methods for Massive Support Vector Machines},
27469  institution	= {Computer Sciences Department, University of Wisconsin},
27470  year		= {2000},
27471  key		= {94},
27472  type		= {Data Mining Institute Technical Report},
27473  number	= {00-05},
27474  url		= {ftp://ftp.cs.wisc.edu/pub/dmi/tech-reports/00-05.ps},
27475  address	= {Madison, Wisconsin},
27476  annote	= {Submitted to SIOPT}
27477}
27478
27479@Article{	  ferris.munson:linear,
27480  author	= {M. C. Ferris and T. S. Munson},
27481  title		= {Linear Programming for Emergency Broadcast Systems},
27482  year		= {1999},
27483  journal	= {{SIAG/OPT} Newsletter},
27484  volume	= {10},
27485  pages		= {6--8},
27486  url		= {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/98-20.ps},
27487  key		= {76},
27488  type		= {Mathematical Programming Technical Report},
27489  institution	= {Computer Sciences Department, University of Wisconsin},
27490  address	= {Madison, Wisconsin},
27491  number	= {98-20}
27492}
27493
27494@Article{	  ferris.munson:modeling,
27495  author	= {M. C. Ferris and T. S. Munson},
27496  title		= {Modeling Languages and {C}ondor: Metacomputing for Optimization},
27497  year		= {2000},
27498  journal	= {Mathematical Programming},
27499  volume	= {88},
27500  pages		= {487--506},
27501  url		= {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/98-13.ps},
27502  key		= {71},
27503  type		= {Mathematical Programming Technical Report},
27504  institution	= {Computer Sciences Department, University of Wisconsin},
27505  address	= {Madison, Wisconsin},
27506  number	= {98-13}
27507}
27508
27509@TechReport{	  ferris.munson:preprocessing,
27510  author	= {M. C. Ferris and T. S. Munson},
27511  title		= {Preprocessing Complementarity Problems},
27512  type		= {Mathematical Programming Technical Report},
27513  institution	= {Computer Sciences Department, University of Wisconsin},
27514  address	= {Madison, Wisconsin},
27515  year		= {1999},
27516  url		= {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/99-07.ps},
27517  number	= {99-07},
27518  key		= {86},
27519  annote	= {Submitted to ICCP 99}
27520}
27521
27522@TechReport{	  ferris.munson:semismooth,
27523  author	= {M. C. Ferris and T. S. Munson},
27524  title		= {Semismooth Support Vector Machines},
27525  institution	= {Computer Sciences Department, University of Wisconsin},
27526  year		= {2000},
27527  key		= {97},
27528  type		= {Data Mining Institute Technical Report},
27529  number	= {00-09},
27530  url		= {ftp://ftp.cs.wisc.edu/pub/dmi/tech-reports/00-09.ps},
27531  address	= {Madison, Wisconsin},
27532  annote	= {Submitted to Math Prog B}
27533}
27534
27535@Article{	  ferris.pang:engineering,
27536  author	= {M. C. Ferris and J. S. Pang},
27537  title		= {Engineering and Economic Applications of Complementarity Problems},
27538  year		= {1997},
27539  journal	= {SIAM Review},
27540  volume	= {39},
27541  pages		= {669--713},
27542  url		= {http: //www.siam.org/journals/sirev/39-4/28596.html},
27543  key		= {46}
27544}
27545
27546@Article{	  ferris.pang:nondegenerate,
27547  author	= {M. C. Ferris and J. S. Pang},
27548  title		= {Nondegenerate Solutions and Related Concepts in Affine Variational Inequalities},
27549  journal	= {SIAM Journal on Control and Optimization},
27550  year		= {1996},
27551  volume	= {34},
27552  pages		= {244--263},
27553  url		= {ftp://ftp.cs.wisc.edu/tech-reports/reports/1994/tr1203.ps},
27554  key		= {35}
27555}
27556
27557@Article{	  ferris.philpott:affine,
27558  author	= {M. C. Ferris and A. B. Philpott},
27559  title		= {On Affine Scaling and Semi--Infinite Programming},
27560  journal	= {Mathematical Programming},
27561  year		= {1992},
27562  volume	= {56},
27563  pages		= {361--364},
27564  key		= {15}
27565}
27566
27567@Article{	  ferris.philpott:interior,
27568  author	= {M. C. Ferris and A. B. Philpott},
27569  title		= {An Interior Point Algorithm for Semi--Infinite Linear Programming},
27570  journal	= {Mathematical Programming},
27571  year		= {1989},
27572  volume	= {43},
27573  pages		= {257--276},
27574  key		= {04}
27575}
27576
27577@Article{	  ferris.philpott:performance,
27578  author	= {M. C. Ferris and A. B. Philpott},
27579  title		= {On the Performance of {K}armarkar's Algorithm},
27580  journal	= {Journal of the Operational Research Society},
27581  year		= {1988},
27582  volume	= {39},
27583  pages		= {257--270},
27584  key		= {03}
27585}
27586
27587@InCollection{	  ferris.ralph:projected,
27588  author	= {M. C. Ferris and D. Ralph},
27589  title		= {Projected Gradient Methods for Nonlinear Complementarity Problems via Normal
27590		  Maps},
27591  booktitle	= {Recent Advances in Nonsmooth Optimization},
27592  publisher	= {World Scientific Publishers},
27593  year		= {1995},
27594  pages		= {57--87},
27595  editor	= {D. Du and L. Qi and R. Womersley},
27596  url		= {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/94-08.ps},
27597  key		= {41}
27598}
27599
27600@Article{	  ferris.ruszczynski:robust,
27601  author	= {M. C. Ferris and A. Ruszczy{\'{n}}ski},
27602  title		= {Robust Path Choice and Vehicle Guidance in Networks with Failures},
27603  year		= {2000},
27604  journal	= {Networks},
27605  volume	= {35},
27606  pages		= {181--194},
27607  url		= {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/97-04.ps},
27608  key		= {60}
27609}
27610
27611@InCollection{	  ferris.rutherford:accessing,
27612  author	= {M. C. Ferris and T. F. Rutherford},
27613  title		= {Accessing Realistic Complementarity Problems within {Matlab}},
27614  booktitle	= {Nonlinear Optimization and Applications},
27615  key		= {48},
27616  url		= {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/95-10.ps},
27617  editor	= {G. Di Pillo and F. Giannessi},
27618  year		= {1996},
27619  pages		= {141--153},
27620  publisher	= {Plenum Press},
27621  address	= {New York}
27622}
27623
27624@InCollection{	  ferris.shepard:optimizing,
27625  author	= {M. C. Ferris and D. M. Shepard},
27626  title		= {Optimization of Gamma Knife Radiosurgery},
27627  booktitle	= {Discrete Mathematical Problems with Medical Applications, forthcoming},
27628  editor	= {D.-Z. Du and P. Pardolas and J. Wang},
27629  publisher	= {AMS},
27630  year		= {2000},
27631  optseries	= {DIMACS},
27632  url		= {ftp://ftp.cs.wisc.edu/pub/dmi/tech-reports/00-01.ps},
27633  key		= {91},
27634  type		= {Data Mining Institute Technical Report},
27635  institution	= {Computer Sciences Department, University of Wisconsin},
27636  address	= {Madison, Wisconsin},
27637  number	= {00-01}
27638}
27639
27640@InCollection{	  ferris.sinapiromsaran:formulating,
27641  author	= {M. C. Ferris and K. Sinapiromsaran},
27642  title		= {Formulating and Solving Nonlinear Programs as Mixed Complementarity Problems},
27643  booktitle	= {Optimization},
27644  key		= {77},
27645  publisher	= {Springer-Verlag},
27646  year		= {2000},
27647  editor	= {V.H. Nguyen and J. J. Strodiot and P. Tossings},
27648  volume	= {481},
27649  series	= {Lecture Notes in Economics and Mathematical Systems},
27650  url		= {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/98-21.ps},
27651  type		= {Mathematical Programming Technical Report},
27652  institution	= {Computer Sciences Department, University of Wisconsin},
27653  address	= {Madison, Wisconsin},
27654  number	= {98-21}
27655}
27656
27657@Article{	  ferris.tin-loi:limit,
27658  author	= {M. C. Ferris and F. Tin-Loi},
27659  title		= {Limit Analysis of Frictional Block Assemblies as a Mathematical Program with
27660		  Complementarity Constraints},
27661  year		= {2001},
27662  url		= {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/99-01.ps},
27663  key		= {78},
27664  journal	= {International Journal of Mechanical Sciences},
27665  pages		= {209--224},
27666  volume	= {43},
27667  type		= {Mathematical Programming Technical Report},
27668  institution	= {Computer Sciences Department, University of Wisconsin},
27669  address	= {Madison, Wisconsin},
27670  number	= {99-01}
27671}
27672
27673@Article{	  ferris.tin-loi:nonlinear,
27674  author	= {M. C. Ferris and F. Tin-Loi},
27675  title		= {Nonlinear Programming Approach for a Class of Inverse Problems in
27676		  Elastoplasticity},
27677  year		= {1998},
27678  key		= {64},
27679  volume	= {6},
27680  pages		= {857--870},
27681  journal	= {Structural Engineering and Mechanics}
27682}
27683
27684@Article{	  ferris.tin-loi:solution,
27685  author	= {M. C. Ferris and F. Tin-Loi},
27686  title		= {On the Solution of a Minimum Weight Elastoplastic Problem involving Displacement
27687		  and Complementarity Constraints},
27688  year		= {1999},
27689  journal	= {Computer Methods in Applied Mechanics and Engineering},
27690  volume	= {174},
27691  pages		= {107--120},
27692  url		= {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/minwt.ps},
27693  key		= {66}
27694}
27695
27696@Article{	  ferris.vlach:scheduling,
27697  author	= {M. C. Ferris and M. Vlach},
27698  title		= {Scheduling with Earliness and Tardiness Penalties},
27699  journal	= {Naval Research Logistics Quarterly},
27700  year		= {1992},
27701  volume	= {39},
27702  pages		= {229--245},
27703  key		= {13}
27704}
27705
27706@TechReport{	  ferris.zavriev:linear,
27707  author	= {M. C. Ferris and S. K Zavriev},
27708  title		= {The Linear Convergence of a Successive Linear Programming Algorithm},
27709  institution	= {Computer Sciences Department, University of Wisconsin},
27710  year		= {1996},
27711  key		= {56},
27712  address	= {Madison, Wisconsin},
27713  type		= {Mathematical Programming Technical Report},
27714  number	= {96--12},
27715  url		= {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/96-12.ps}
27716}
27717
27718@Article{	  ferris:finite,
27719  author	= {M. C. Ferris},
27720  title		= {Finite Termination of the Proximal Point Algorithm},
27721  journal	= {Mathematical Programming},
27722  year		= {1991},
27723  volume	= {50},
27724  pages		= {359--366},
27725  key		= {06}
27726}
27727
27728@Article{	  ferris:iterative,
27729  author	= {M. C. Ferris},
27730  title		= {Iterative Linear Programming Solution of Convex Programs},
27731  journal	= {Journal of Optimization Theory and Applications},
27732  year		= {1990},
27733  volume	= {65},
27734  pages		= {53--65},
27735  key		= {07}
27736}
27737
27738@Article{	  ferris:linear,
27739  author	= {M. C. Ferris},
27740  title		= {The Linear Complementarity Problem},
27741  journal	= {Bulletin of the American Mathematical Society},
27742  year		= {1993},
27743  volume	= {28},
27744  pages		= {169--175},
27745  key		= {27}
27746}
27747
27748@MastersThesis{	  ferris:linear*1,
27749  author	= {M. C. Ferris},
27750  title		= {Linear Programming and Minimum Weight Design -- {A} Comparison of Methods for
27751		  Solving a Class of Structural Optimization Problems},
27752  year		= {1985},
27753  school	= {University of Cambridge},
27754  address	= {England},
27755  key		= {01}
27756}
27757
27758@TechReport{	  ferris:matlab,
27759  author	= {M. C. Ferris},
27760  title		= {{MATLAB} and {GAMS}: Interfacing Optimization and Visualization Software},
27761  institution	= {Computer Sciences Department, University of Wisconsin},
27762  year		= {1998},
27763  address	= {Madison, Wisconsin},
27764  type		= {Mathematical Programming Technical Report},
27765  url		= {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/98-19.ps},
27766  number	= {98-19},
27767  key		= {75}
27768}
27769
27770@Article{	  ferris:parallel,
27771  author	= {M. C. Ferris},
27772  title		= {Parallel Constraint Distribution for Convex Quadratic Programs},
27773  journal	= {Mathematics of Operations Research},
27774  year		= {1994},
27775  volume	= {19},
27776  pages		= {645--658},
27777  url		= {ftp://ftp.cs.wisc.edu/tech-reports/reports/1991/tr1009a.ps},
27778  key		= {20}
27779}
27780
27781@TechReport{	  ferris:parallel*1,
27782  author	= {M. C. Ferris},
27783  title		= {Parallel Solution of Extremely Large Knapsack Problems},
27784  institution	= {Computer Sciences Department, University of Wisconsin},
27785  year		= {1989},
27786  address	= {Madison, Wisconsin},
27787  number	= {842},
27788  key		= {09}
27789}
27790
27791@PhDThesis{	  ferris:weak,
27792  author	= {M. C. Ferris},
27793  title		= {Weak Sharp Minima and Penalty Functions in Mathematical Programming},
27794  year		= {1988},
27795  school	= {University of Cambridge},
27796  address	= {England},
27797  key		= {02}
27798}
27799
27800@TechReport{	  ferris:weak*1,
27801  author	= {M. C. Ferris},
27802  title		= {Weak Sharp Minima and Penalty Functions in Mathematical Programming},
27803  institution	= {Computer Sciences Department, University of Wisconsin},
27804  year		= {1988},
27805  address	= {Madison, Wisconsin},
27806  number	= {779},
27807  key		= {05}
27808}
27809
27810@Book{		  fiacco.mccormick:nonlinear,
27811  author	= {A. V. Fiacco and G. P. McCormick},
27812  title		= {Nonlinear Programming: Sequential Unconstrained Minimization Techniques},
27813  year		= {1968},
27814  publisher	= {John Wiley \& Sons},
27815  address	= {New York},
27816  note		= {SIAM Classics in Applied Mathematics 4, SIAM, Philadelphia, 1990}
27817}
27818
27819@Book{		  fiacco:introduction,
27820  author	= {A. V. Fiacco},
27821  title		= {Introduction to Sensitivity and Stability Analysis in Nonlinear Programming},
27822  year		= {1983},
27823  publisher	= {Academic Press},
27824  address	= {New York}
27825}
27826
27827@Article{	  fiedler.ptak:matrices,
27828  author	= {M. Fiedler and V. Pt\'{a}k},
27829  title		= {On matrices with nonpositive off-diagonal elements and positive principal
27830		  minors},
27831  journal	= {Czechoslovak Mathematics Journal},
27832  volume	= {12},
27833  pages		= {382--400},
27834  year		= {1962}
27835}
27836
27837@Article{	  fischer.kanzow:finite,
27838  author	= {A. Fischer and C. Kanzow},
27839  title		= {On Finite Termination of an Iterative Method for Linear Complementarity
27840		  Problems},
27841  journal	= {Mathematical Programming},
27842  volume	= {74},
27843  pages		= {279--292},
27844  year		= {1996}
27845}
27846
27847@TechReport{	  fischer:constrained,
27848  author	= {A. Fischer},
27849  title		= {A New Constrained Optimization Reformulation for Complementarity Problems},
27850  institution	= {Institute of Numerical Mathematics, Technical University of Dresden},
27851  year		= {1995},
27852  type		= {Technical Report},
27853  number	= {MATH-NM-10-1995},
27854  address	= {Dresden}
27855}
27856
27857@Article{	  fischer:local,
27858  author	= {A. Fischer},
27859  title		= {On the local superlinear convergence of a {N}ewton-type method for {LCP} under
27860		  weak conditions},
27861  journal	= {Optimization Methods and Software},
27862  year		= {1995},
27863  volume	= {6},
27864  pages		= {83--107}
27865}
27866
27867@InCollection{	  fischer:ncp-function,
27868  author	= {A. Fischer},
27869  title		= {An {NCP}--Function and its Use for the Solution of Complementarity Problems},
27870  booktitle	= {Recent Advances in Nonsmooth Optimization},
27871  publisher	= {World Scientific Publishers},
27872  editor	= {D. Z. Du and L. Qi and R. S. Womersley},
27873  year		= {1995},
27874  pages		= {88--105}
27875}
27876
27877@Article{	  fischer:newton-type,
27878  author	= {A. Fischer},
27879  title		= {A {N}ewton-Type Method for Positive Semidefinite Linear Complementarity
27880		  Problems},
27881  journal	= {Journal of Optimization Theory and Applications},
27882  year		= {1995},
27883  volume	= {86},
27884  pages		= {585--608}
27885}
27886
27887@Article{	  fischer:solution,
27888  author	= {A. Fischer},
27889  title		= {Solution of Monotone Complementarity Problems with Locally {L}ipschitzian
27890		  Functions},
27891  year		= {1997},
27892  journal	= {Mathematical Programming},
27893  pages		= {513--532}
27894}
27895
27896@Article{	  fischer:special,
27897  author	= {A. Fischer},
27898  title		= {A Special {N}ewton--Type Optimization Method},
27899  journal	= {Optimization},
27900  year		= {1992},
27901  volume	= {24},
27902  pages		= {269--284}
27903}
27904
27905@Article{	  fisher:use,
27906  author	= {R. A. Fisher},
27907  title		= {The Use of Multiple Measurements in Taxonomic Problems},
27908  journal	= {Annual Eugenics},
27909  year		= {1936},
27910  volume	= {7},
27911  number	= {Part II},
27912  pages		= {179--188}
27913}
27914
27915@Book{		  fishman:principles,
27916  author	= {G. Fishman},
27917  title		= {Principles of Discrete Event Simulation},
27918  publisher	= {Wiley},
27919  address	= {New York, NY},
27920  year		= {1978}
27921}
27922
27923@Article{	  fitchard.aldridge.ea:registration,
27924  author	= {E. E. Fitchard and J. S. Aldridge and P. J. Reckwerdt and T. R. Mackie},
27925  title		= {Registration of Synthetic Tomographic Projection Data Sets Using
27926		  Cross-Correlation},
27927  journal	= {Physics in Medicine and Biology},
27928  year		= {1998},
27929  volume	= {43},
27930  pages		= {1645--1657}
27931}
27932
27933@Article{	  fletcher.matthews:stable,
27934  author	= {R. Fletcher and S. P. J. Matthews},
27935  title		= {Stable Modifications of Explicit {LU} Factors for Simplex Updates},
27936  journal	= {Mathematical Programming},
27937  year		= {1984},
27938  volume	= {30},
27939  pages		= {267--284}
27940}
27941
27942@TechReport{	  fletcher.maza:nonlinear,
27943  author	= {R. Fletcher and E. Sainz de la Maza},
27944  title		= {Nonlinear Programming and Nonsmooth Optimization by Successive Linear
27945		  Programming},
27946  institution	= {Department of Mathematical Sciences},
27947  year		= {1987},
27948  address	= {The University, Dundee, Scotland},
27949  number	= {NA/100},
27950  type		= {Numerical Analysis Report}
27951}
27952
27953@InCollection{	  fletcher:class,
27954  author	= {R. Fletcher},
27955  title		= {A Class of Methods for Nonlinear Programming with Termination and Convergence
27956		  Properties},
27957  booktitle	= {Integer and Nonlinear Programming},
27958  year		= {1970},
27959  editor	= {J. Abadie},
27960  publisher	= {North--Holland},
27961  address	= {Amsterdam},
27962  pages		= {157--173}
27963}
27964
27965@Article{	  fletcher:exact,
27966  author	= {R. Fletcher},
27967  title		= {An Exact Penalty Function for Nonlinear Programming with Inequalities},
27968  journal	= {Mathematical Programming},
27969  year		= {1973},
27970  volume	= {5},
27971  pages		= {129--150}
27972}
27973
27974@Article{	  fletcher:generalized,
27975  author	= {R. Fletcher},
27976  title		= {Generalized Inverse Methods for the Best Least Squares Solution of Non--Linear
27977		  Equations},
27978  journal	= {The Computer Journal},
27979  year		= {1968},
27980  volume	= {10},
27981  pages		= {392--399}
27982}
27983
27984@InProceedings{	  fletcher:penalty,
27985  crossref	= {bachem.grotschel.ea:mathematical},
27986  author	= {R. Fletcher},
27987  title		= {Penalty Functions},
27988  pages		= {87--114}
27989}
27990
27991@Book{		  fletcher:practical,
27992  author	= {R. Fletcher},
27993  title		= {Practical Methods of Optimization},
27994  year		= {1981},
27995  publisher	= {John Wiley \& Sons},
27996  address	= {Chichester},
27997  volume	= {1}
27998}
27999
28000@Book{		  fletcher:practical*1,
28001  author	= {R. Fletcher},
28002  title		= {Practical Methods of Optimization},
28003  year		= {1981},
28004  publisher	= {John Wiley \& Sons},
28005  address	= {Chichester},
28006  volume	= {2}
28007}
28008
28009@Book{		  fletcher:practical*2,
28010  author	= {R. Fletcher},
28011  title		= {Practical Methods of Optimization},
28012  year		= {1987},
28013  publisher	= {John Wiley \& Sons},
28014  address	= {New York},
28015  edition	= {second}
28016}
28017
28018@Unpublished{	  fletcher:recent,
28019  author	= {R. Fletcher},
28020  title		= {Recent Developments in Nonlinear Programming},
28021  note		= {Presentation at SOR 96, Braunchweig, Germany},
28022  year		= {1996}
28023}
28024
28025@InCollection{	  fletcher:second,
28026  author	= {R. Fletcher},
28027  title		= {Second Order Correction for Nondifferentiable Optimization},
28028  booktitle	= {Numerical Analysis},
28029  year		= {1982},
28030  editor	= {G. A. Watson},
28031  publisher	= {Springer-Verlag},
28032  address	= {Berlin},
28033  pages		= {85--114}
28034}
28035
28036@InCollection{	  florian:mathematical,
28037  author	= {M. Florian},
28038  title		= {Mathematical programming applications in national, regional, and urban planning},
28039  editors	= {M. Iri and K. Tanabe},
28040  booktitle	= {Mathematical Programming: Recent Developments and Applications},
28041  publisher	= {Kluwer Academic Publishers},
28042  address	= {Tokyo},
28043  year		= {1989}
28044}
28045
28046@Article{	  florian:nonlinear,
28047  author	= {M. Florian},
28048  title		= {Nonlinear Cost Network Models in Transportation Analysis},
28049  journal	= {Mathematical Programming Study},
28050  year		= {1986},
28051  volume	= {26},
28052  pages		= {167--196}
28053}
28054
28055@Article{	  flynn:computer,
28056  author	= {M.~J. Flynn},
28057  title		= {Some Computer Organizations and their Effectiveness},
28058  journal	= {IEEE Transactions on Computers},
28059  year		= {1972},
28060  volume	= {C-21},
28061  pages		= {948--960}
28062}
28063
28064@InProceedings{	  fogarty:varying,
28065  crossref	= {schaeffer:third},
28066  author	= {T. C. Fogarty},
28067  title		= {Varying the Probability of Mutation in the Genetic Algorithm},
28068  pages		= {422--427}
28069}
28070
28071@Article{	  forrest.goldfarb:steepest-edge,
28072  author	= {J. J. Forrest and D. Goldfarb},
28073  title		= {Steepest--Edge Simplex Algorithms for Linear Programming},
28074  journal	= {Mathematical Programming},
28075  year		= {1992},
28076  volume	= {57},
28077  pages		= {341--374}
28078}
28079
28080@Article{	  forrest.tomlin:updating,
28081  author	= {J. J. H. Forrest and J. A. Tomlin},
28082  title		= {Updating Triangular Factors of the Basis to Maintain Sparsity in the Product Form
28083		  Simplex Method},
28084  journal	= {Mathematical Programming},
28085  year		= {1972},
28086  volume	= {2},
28087  pages		= {263--278}
28088}
28089
28090@TechReport{	  forsgren.gill.ea:computing,
28091  author	= {A. Forsgren and P. E. Gill and W. Murray},
28092  title		= {Computing Modified {N}ewton Directions using a Partial {C}holesky Factorization},
28093  institution	= {Department of Mathematics, Royal Institute of Technology},
28094  year		= {1993},
28095  number	= {TRITA-MAT-1993-9},
28096  address	= {Stockholm, Sweden}
28097}
28098
28099@TechReport{	  forsgren.gill:primal-dual,
28100  author	= {A. Forsgren and P. E. Gill},
28101  title		= {Primal-Dual Interior Methods for Nonconvex Nonlinear Programming},
28102  institution	= {Department of Mathematics, University of California},
28103  year		= {1996},
28104  type		= {Report NA},
28105  number	= {96-3},
28106  address	= {San Diego}
28107}
28108
28109@InCollection{	  fortin.glowinski:decomposition-coordination,
28110  author	= {M. Fortin and R. Glowinski},
28111  title		= {On Decomposition-Coordination Methods Using an Augmented Lagrangian},
28112  booktitle	= {Augmented Lagrangian methods: Applications to the Solution of Boundary Value
28113		  Problems},
28114  publisher	= {North-Holland},
28115  year		= {1983},
28116  editor	= {M. Fortin and R. Glowinski},
28117  address	= {Amsterdam}
28118}
28119
28120@Misc{		  foster.kesselman:globus,
28121  author	= {I. Foster and C. Kesselman},
28122  title		= {The Globus Project},
28123  howpublished	= {www.globus.org}
28124}
28125
28126@Article{	  foster.kesselman:globus*1,
28127  author	= {I. Foster and C. Kesselman},
28128  title		= {Globus: A Metacomputing Infrastructure Toolkit},
28129  journal	= {International Journal of Supercomputer Applications},
28130  volume	= {11},
28131  pages		= {115--128},
28132  year		= {1997}
28133}
28134
28135@Book{		  foster.kesselman:grid,
28136  editor	= {I. Foster and C. Kesselman},
28137  title		= {The Grid: Blueprint for a Future Computing Infrastructure},
28138  publisher	= {Morgan Kaufmann Publishers},
28139  year		= {1999}
28140}
28141
28142@Book{		  fourer.gay.ea:ampl,
28143  author	= {R. Fourer and D. M. Gay and B. W. Kernighan},
28144  title		= {{AMPL}: {A} Modeling Language for Mathematical Programming},
28145  year		= {1993},
28146  publisher	= {Duxbury Press}
28147}
28148
28149@Article{	  fourer.gay.ea:modeling,
28150  author	= {R. Fourer and D. M. Gay and B. W. Kernighan},
28151  title		= {A Modeling Language for Mathematical Programming},
28152  journal	= {Management Science},
28153  year		= {1990},
28154  volume	= {36},
28155  pages		= {519--554}
28156}
28157
28158@Article{	  fraass:development,
28159  author	= {A. Fraass},
28160  title		= {The development of conformal radiation therapy},
28161  journal	= {Medical Physics},
28162  year		= {1995},
28163  volume	= {22},
28164  number	= {11},
28165  pages		= {1911--1921}
28166}
28167
28168@TechReport{	  fraley:algorithms,
28169  author	= {C. Fraley},
28170  title		= {Algorithms for Nonlinear Least Squares},
28171  institution	= {Stanford University},
28172  year		= {1988},
28173  number	= {{SOL} 88.16},
28174  type		= {Technical Report}
28175}
28176
28177@InCollection{	  francois.mcdonald.ea:uruguay,
28178  author	= {J. F. Francois and B. McDonald and H. Nordstrom},
28179  title		= {The {U}ruguay Round: {A} Numerically Based Qualitative Assessment},
28180  booktitle	= {The {U}ruguay Round and the Developing Economies},
28181  address	= {New York},
28182  editors	= {W. Martin and L. A. Winters},
28183  publisher	= {Cambridge University Press}
28184}
28185
28186@InCollection{	  francois.mcdonald.ea:uruguay*1,
28187  author	= {J. F. Francois and B. McDonald and H. Nordstrom},
28188  title		= {The {U}ruguay Round: {A} Global Analysis},
28189  booktitle	= {Challenges and Opportunities for East Asian Trade},
28190  address	= {Cambridge},
28191  editors	= {D. Robertson},
28192  publisher	= {Cambridge University Press}
28193}
28194
28195@Article{	  frank.wolfe:algorithm,
28196  author	= {M. Frank and P. Wolfe},
28197  title		= {An Algorithm for Quadratic Programming},
28198  journal	= {Naval Research Logistics Quarterly},
28199  year		= {1956},
28200  volume	= {3},
28201  pages		= {95--110}
28202}
28203
28204@Article{	  freund.nachtigal:qmrpack,
28205  author	= {R. W. Freund and N. M. Nachtigal},
28206  title		= {{QMRPACK}: {A} Package of {QMR} Algorithms},
28207  journal	= {{ACM} Transactions on Mathematical Software},
28208  year		= {1996},
28209  volume	= {22},
28210  pages		= {46--77}
28211}
28212
28213@InProceedings{	  freund.schapire:experiments,
28214  author	= {Y. Freund and R. E. Schapire},
28215  title		= {Experiments with a New Boosting Algorithm},
28216  booktitle	= {Machine Learning: Proceedings of the Thirteenth National Conference},
28217  pages		= {148--156},
28218  year		= {1996},
28219  editor	= {L. Saitta},
28220  publisher	= {Morgan Kaufmann}
28221}
28222
28223@Unpublished{	  freund.todd:barrier,
28224  author	= {Robert M. Freund and Michael J. Todd},
28225  title		= {Barrier functions and interior-point algorithms for linear programming with
28226		  zero-, one-, or two-sided bounds on the variables},
28227  year		= {1992},
28228  month		= jul
28229}
28230
28231@Article{	  friedman.chernina:iterative,
28232  author	= {V. M. Friedman and V. S. Chernina},
28233  title		= {Iterative Methods Applied to the Solution of Contact Problems Between Bodies},
28234  note		= {In Russian},
28235  journal	= {Mekhanika Tvergodo Tela Academia Nauk SSSR},
28236  volume	= {1},
28237  pages		= {116--120},
28238  year		= {1967}
28239}
28240
28241@Article{	  friesz.bernstein.ea:day-to-day,
28242  author	= {T. L. Friesz and D. Bernstein and N. J. Mehta and R. L. Tobin and S.
28243		  Ganjalizadeh},
28244  title		= {Day-to-day Dynamic Network Disequilibria and Idealized Traveller Information
28245		  Systems},
28246  journal	= {Operations Research},
28247  year		= {1994},
28248  volume	= {42},
28249  pages		= {1120--1136}
28250}
28251
28252@Article{	  friesz.tobin.ea:nonlinear,
28253  author	= {T. L. Friesz and R. L. Tobin and T. E. Smith and P. T. Harker},
28254  title		= {A Nonlinear Complementarity Formulation and Solution Procedure for the General
28255		  Derived Demand Network Equilibrium Problem},
28256  journal	= {Journal of Regional Science},
28257  year		= {1983},
28258  volume	= {23},
28259  pages		= {337--359}
28260}
28261
28262@Article{	  friesz:network,
28263  author	= {T. L. Friesz},
28264  title		= {Network Equilibrium, Design and Aggregation},
28265  journal	= {Transportation Research},
28266  volume	= {19A},
28267  year		= {1985},
28268  pages		= {413--427}
28269}
28270
28271@Unpublished{	  frisch:logarithmic,
28272  author	= {K. R. Frisch},
28273  title		= {The Logarithmic Potential Method of Convex Programming},
28274  year		= {1955},
28275  note		= {Unpublished manuscript, University Institute of Economics, Oslo}
28276}
28277
28278@Book{		  fukunaga:statistical,
28279  author	= {K. Fukunaga},
28280  title		= {Statistical Pattern Recognition},
28281  year		= {1990},
28282  publisher	= {Academic Press},
28283  address	= {New York}
28284}
28285
28286@Article{	  fukushima.luo.ea:globally,
28287  author	= {M. Fukushima and Z.--Q. Luo and J. S. Pang},
28288  title		= {A Globally Convergent Sequential Quadratic Programming Algorithm for Mathematical
28289		  Programs with Linear Complementarity Constraints},
28290  journal	= {Computational Optimization and Applications},
28291  year		= {1998},
28292  volume	= {10},
28293  pages		= {5--34}
28294}
28295
28296@Article{	  fukushima:equivalent,
28297  author	= {M. Fukushima},
28298  title		= {Equivalent Differentiable Optimization Problems and Descent Methods for
28299		  Asymmetric Variational Inequality Problems},
28300  journal	= {Mathematical Programming},
28301  year		= {1992},
28302  volume	= {53},
28303  pages		= {99--110}
28304}
28305
28306@Article{	  fukushima:primal,
28307  author	= {M. Fukushima},
28308  title		= {The Primal {D}ouglas-{R}achford Splitting Algorithm for a Class of Monotone
28309		  Mappings with Application to the Traffic Equilibrium Problem},
28310  journal	= {Mathematical Programming},
28311  year		= {1996},
28312  volume	= {72},
28313  pages		= {1--15}
28314}
28315
28316@Article{	  gabay.mercier:dual,
28317  author	= {D. Gabay and B. Mercier},
28318  title		= {A Dual Algorithm for the Solution of Nonlinear Variational Inequalities via
28319		  Finite Element Approximations},
28320  journal	= {Computational Mathematics and Applications},
28321  year		= {1976},
28322  volume	= {2},
28323  pages		= {17--48}
28324}
28325
28326@InCollection{	  gabay:applications,
28327  author	= {D. Gabay},
28328  title		= {Applications of the Method of Multipliers to Variational Inequalities},
28329  booktitle	= {Augmented {L}agrangian Methods: Applications to the Solution of Boundary Value
28330		  Problems},
28331  publisher	= {North-Holland},
28332  year		= {1983},
28333  editor	= {M. Fortin and R. Glowinski},
28334  address	= {Amsterdam}
28335}
28336
28337@Unpublished{	  gabriel.bernstein:path,
28338  author	= {S. A. Gabriel and D. Berstein},
28339  title		= {A Path Generation Method for the Nonadditive, Asymmetric, Elastic Traffic
28340		  Equilibrium Problem},
28341  note		= {Draft, 1995}
28342}
28343
28344@TechReport{	  gabriel.kydes:nonlinear,
28345  author	= {S. A. Gabriel and A. S. Kydes},
28346  title		= {A Nonlinear Complementarity Approach for Solving the National Energy Modeling
28347		  System},
28348  institution	= {Mathematics and Computer Science Division, Argonne National Laboratory},
28349  year		= {1995},
28350  type		= {Preprint},
28351  number	= {MCS-P504-0395},
28352  address	= {Argonne, Illinois},
28353  month		= mar
28354}
28355
28356@InProceedings{	  gabriel.more:smoothing,
28357  crossref	= {ferris.pang:complementarity},
28358  author	= {S. A. Gabriel and J. J. Mor\'{e}},
28359  title		= {Smoothing of Mixed Complementarity Problems}
28360}
28361
28362@Article{	  gabriel.pang:inexact,
28363  author	= {S. A. Gabriel and J. S. Pang},
28364  title		= {An Inexact {NE/SQP} Method for Solving the Nonlinear Complementarity Problem},
28365  journal	= {Computational Optimization and Applications},
28366  year		= {1992},
28367  volume	= {1},
28368  pages		= {67--91}
28369}
28370
28371@InCollection{	  gabriel.pang:trust,
28372  author	= {S. A. Gabriel and J. S. Pang},
28373  title		= {A Trust Region Method for Constrained Nonsmooth Equations},
28374  booktitle	= {Large--Scale Optimization: State of the Art},
28375  publisher	= {Kluwer Academic Publishers},
28376  year		= {1994},
28377  editor	= {W. W. Hager and D. W. Hearn and P. M. Pardalos},
28378  pages		= {159--186}
28379}
28380
28381@PhDThesis{	  gabriel:algorithms,
28382  author	= {S. A. Gabriel},
28383  title		= {Algorithms for the Nonlinear Complementarity Problem: The {NE}/{SQP} Method and
28384		  Extensions},
28385  school	= {The Johns Hopkins University},
28386  year		= {1992},
28387  address	= {Baltimore, Maryland}
28388}
28389
28390@Article{	  gafni.bertsekas:two-metric,
28391  author	= {E. M. Gafni and D. P. Bertsekas},
28392  title		= {Two-Metric Projection Methods for Constrained Optimization},
28393  journal	= {SIAM Journal on Control and Optimization},
28394  year		= {1984},
28395  volume	= {22},
28396  pages		= {936--964}
28397}
28398
28399@InProceedings{	  gaivoronski:convergence,
28400  author	= {A. A. Gaivoronski},
28401  title		= {Convergence of Parallel Backpropagation for Neural Networks},
28402  booktitle	= {SIAM Journal on Optimization},
28403  year		= {1994},
28404  note		= {Proceedings of Symposium on Parallel Optimization 3, Madison July 7-9, 1993,
28405		  submitted}
28406}
28407
28408@Misc{		  gaivoronski:private,
28409  author	= {A. A. Gaivoronski},
28410  title		= {Private Communication},
28411  year		= {1992},
28412  month		= nov,
28413  address	= {ITALTEL, Milan}
28414}
28415
28416@Book{		  gale:theory,
28417  author	= {D. Gale},
28418  title		= {The Theory of Linear Economic Models},
28419  year		= {1960},
28420  publisher	= {McGraw-Hill Book Company},
28421  address	= {New York}
28422}
28423
28424@Book{		  gallant:neural,
28425  author	= {S. I. Gallant},
28426  title		= {Neural Network Learning and Expert Systems},
28427  year		= {1993},
28428  publisher	= {MIT Press},
28429  address	= {Cambridge, Massachusetts}
28430}
28431
28432@InProceedings{	  ganti.gehrke.ea:framework,
28433  author	= {V. Ganti and J. Gehrke and R. Ramakrishnan},
28434  title		= {A Framework for Measuring Changes in Data Characteristics},
28435  booktitle	= {Proceedings of the Eighteenth ACM SIGACT-SIGMOD-SIGART Symposium on Principles of
28436		  Database Systems, May 31 - June 2, 1999, Philadelphia, Pennsylvania},
28437  publisher	= {ACM Press},
28438  year		= {1999},
28439  isbn		= {1-58113-062-7},
28440  pages		= {126--137}
28441}
28442
28443@Book{		  ganz:gamma,
28444  author	= {J. C. Ganz},
28445  title		= {Gamma Knife Surgery},
28446  publisher	= {Springer-Verlag Wien},
28447  year		= {1997},
28448  address	= {Austria}
28449}
28450
28451@TechReport{	  gao:nonlinear,
28452  author	= {Y. Gao},
28453  title		= {Nonlinear Complementarity Problems in Large Deformed Beam Subject to Unilateral
28454		  Conditions},
28455  type		= {Manuscript},
28456  institution	= {Department of Mathematics, Virginia Polytechnic Institute and State University},
28457  month		= oct,
28458  year		= {1994}
28459}
28460
28461@Article{	  garcia-palomares.mangasarian:superlinearly,
28462  author	= {U. M. {Garcia--Palomares} and O. L. Mangasarian},
28463  title		= {Superlinearly Convergent {Q}uasi--{N}ewton Algorithms for Nonlinearly Constrained
28464		  Optimization Problems},
28465  journal	= {Mathematical Programming},
28466  year		= {1976},
28467  volume	= {11},
28468  pages		= {1--13}
28469}
28470
28471@Article{	  garcia-palomares.restuccia:global,
28472  author	= {U. M. {Garcia--Palomares} and A. Restuccia},
28473  title		= {A Global Quadratic Algorithm for Solving a System of Mixed Equations},
28474  journal	= {Mathematical Programming},
28475  year		= {1981},
28476  volume	= {21},
28477  pages		= {290--300}
28478}
28479
28480@InProceedings{	  garcia-palomares:superlinearly,
28481  author	= {U. M. {Garcia--Palomares}},
28482  title		= {Superlinearly Convergent Algorithms for Linearly Constrained Optimization},
28483  crossref	= {mangasarian.meyer.ea:nonlinear*2},
28484  pages		= {101--119}
28485}
28486
28487@Article{	  garcia.gould:theorem,
28488  author	= {C. B. Garcia and F. J. Gould},
28489  title		= {A Theorem on Homotopy Paths},
28490  journal	= {Mathematics of Operations Research},
28491  year		= {1978},
28492  volume	= {3},
28493  pages		= {282--289}
28494}
28495
28496@Book{		  garcia.zangwill:pathways,
28497  author	= {C. B. Garcia and W. I. Zangwill},
28498  title		= {Pathways to Solutions, Fixed Points, and Equilibria},
28499  year		= {1981},
28500  publisher	= {Prentice-Hall, Inc},
28501  address	= {Englewood Cliffs, New Jersey}
28502}
28503
28504@Book{		  garey.johnson:computers,
28505  author	= {M. R. Garey and D. S. Johnson},
28506  title		= {Computers and Intractability, {A} Guide to the Theory of {NP}--Completeness},
28507  year		= {1979},
28508  publisher	= {W.H. Freeman and Company},
28509  address	= {San Francisco}
28510}
28511
28512@Article{	  garey.tarjan.ea:one-processor,
28513  author	= {M. R. Garey and R. E. Tarjan and G. T. Wilfong},
28514  title		= {One--Processor Scheduling with Symmetric Earliness and Tardiness Penalties},
28515  journal	= {Mathematics of Operations Research},
28516  year		= {1988},
28517  volume	= {13},
28518  pages		= {330--348}
28519}
28520
28521@Book{		  garfinkel.nemhauser:integer,
28522  author	= {R. S. Garfinkel and G. L. Nemhauser},
28523  title		= {Integer Programming},
28524  year		= {1972},
28525  publisher	= {John Wiley \& Sons},
28526  address	= {New York}
28527}
28528
28529@Book{		  gass:linear,
28530  author	= {S. Gass},
28531  title		= {Linear Programming Methods and Applications},
28532  edition	= {Fifth},
28533  publisher	= {Boyd and Fraser Publishing Company},
28534  address	= {Danvers, Massachusetts},
28535  year		= {1985}
28536}
28537
28538@InProceedings{	  gay:combining,
28539  author	= {D. M. Gay},
28540  title		= {On Combining the Schemes of {R}eid and {S}aunders for Sparse {LP} Bases},
28541  booktitle	= {Sparse Matrix Proceedings 1978},
28542  editor	= {I. S. Duff and G. W. Stewart},
28543  year		= {1978},
28544  organization	= {SIAM},
28545  address	= {Philadelphia, Pennsylvania},
28546  pages		= {313--334}
28547}
28548
28549@Article{	  gay:electronic,
28550  author	= {D. M. Gay},
28551  title		= {Electronic Mail Distribution of Linear Programming Test Problems},
28552  journal	= {{COAL} Newsletter},
28553  year		= {1985},
28554  volume	= {13},
28555  pages		= {10--12}
28556}
28557
28558@TechReport{	  gay:hooking,
28559  author	= {D. M. Gay},
28560  title		= {Hooking Your Solver to {AMPL}},
28561  year		= {1997},
28562  institution	= {Bell Laboratories},
28563  address	= {Murray Hill, New Jersey},
28564  note		= {Revised 1994, 1997}
28565}
28566
28567@Article{	  gay:variant,
28568  author	= {D. Gay},
28569  title		= {A Variant of {K}armarkar's Linear Programming Algorithm for Problems in Standard
28570		  Form},
28571  journal	= {Mathematical Programming},
28572  year		= {1987},
28573  volume	= {37},
28574  pages		= {81--90}
28575}
28576
28577@Article{	  geiger.kanzow:resolution,
28578  author	= {C. Geiger and C. Kanzow},
28579  title		= {On the Resolution of Monotone Complementarity Problems},
28580  journal	= {Computational Optimization and Applications},
28581  volume	= {5},
28582  year		= {1996},
28583  pages		= {155--173}
28584}
28585
28586@Book{		  geist.beguelin.ea:pvm,
28587  author	= {G. A. Geist and A. L. Beguelin and J. J. Dongarra and W. Jiang and R. Manchek and
28588		  V. S. Sunderam},
28589  title		= {{PVM}: Parallel Virtual Machine},
28590  publisher	= {MIT Press},
28591  address	= {Cambridge, Massachusetts},
28592  year		= {1994}
28593}
28594
28595@Article{	  gendron.crainic:parallel,
28596  author	= {B. Gendron and T. G. Crainic},
28597  title		= {Parallel Branch-and-Bound Algorithms: Survey and Synthesis},
28598  journal	= {Operations Research},
28599  year		= {1994},
28600  volume	= {42},
28601  pages		= {1042--1060}
28602}
28603
28604@Article{	  george:automatic,
28605  author	= {A. George},
28606  title		= {An automatic one-way dissection algorithm for irregular finite-element problems},
28607  journal	= {SIAM Journal on Numerical Analysis},
28608  vol		= {17},
28609  pages		= {740--751},
28610  year		= {1980}
28611}
28612
28613@InProceedings{	  georges-schleuter:asparagos,
28614  crossref	= {schaeffer:third},
28615  author	= {M. Georges--Schleuter},
28616  title		= {Asparagos: An Asynchronous Parallel Genetic Algorithm},
28617  pages		= {416--421}
28618}
28619
28620@Article{	  georgiou:comments,
28621  author	= {G. M. Georgiou},
28622  title		= {Comments On Hidden Nodes in Neural Nets},
28623  journal	= {IEEE Transactions on Circuits and Systems},
28624  year		= {1991},
28625  volume	= {38},
28626  pages		= {1410}
28627}
28628
28629@TechReport{	  gertz.linderoth.ea:object-oriented,
28630  author	= {M. Gertz and J. Linderoth and S. Wright},
28631  title		= {Object-Oriented Software for Linear Complementarity and Quadratic Programming},
28632  institution	= {MCS Division, Argonne National Laboratory},
28633  year		= {in preparation}
28634}
28635
28636@Article{	  ghellinck.vial:polynomial,
28637  author	= {G. de Ghellinck and J.--Ph. Vial},
28638  title		= {A Polynomial {N}ewton Method for Linear Programming},
28639  journal	= {Algorithmica},
28640  year		= {1986},
28641  volume	= {1},
28642  pages		= {425--453}
28643}
28644
28645@InCollection{	  gilbert.ng:predicting,
28646  author	= {J. R. Gilbert and E. Ng},
28647  title		= {Predicting Structure in Nonsymmetric Sparse Matrix Factorizations},
28648  year		= {1993},
28649  booktitle	= {Graph Theory and Sparse Matrix Computation},
28650  editor	= {A. George and J. Gilbert and J. Liu},
28651  publisher	= {Springer-Verlag}
28652}
28653
28654@Article{	  gilbert-lemarechal,
28655  author	= {J. C. Gilbert and C. Lemarechal},
28656  title		= {Some Numerical Experiments with Variable-Storage Quasi-Newton Algorithms},
28657  journal	= {Mathematical Programming},
28658  year		= {1989},
28659  volume	= {45},
28660  pages		= {407--434}
28661}
28662
28663@Article{	  gill.murray.ea:computing,
28664  author	= {P. E. Gill and W. Murray and M. A. Saunders and M. H. Wright},
28665  title		= {Computing Forward-Difference Intervals for Numerical Optimization},
28666  journal	= {SIAM Journal on Scientific and Statistical Computing},
28667  year		= {1983},
28668  volume	= {4},
28669  pages		= {310--321}
28670}
28671
28672@Article{	  gill.murray.ea:maintaining,
28673  author	= {P. E. Gill and W. Murray and M. A. Saunders and M. H. Wright},
28674  title		= {Maintaining {LU} Factors of a General Sparse Matrix},
28675  year		= {1987},
28676  journal	= {Linear Algebra and Its Applications},
28677  volume	= {88/89},
28678  pages		= {239--270}
28679}
28680
28681@Book{		  gill.murray.ea:practical,
28682  author	= {P. E. Gill and W. Murray and M. H. Wright},
28683  title		= {Practical Optimization},
28684  year		= {1981},
28685  publisher	= {Academic Press},
28686  address	= {London}
28687}
28688
28689@Article{	  gill.murray.ea:practical*1,
28690  author	= {P. E. Gill and W. Murray and M. A. Saunders and M. H. Wright},
28691  title		= {A Practical Anti-Cycling Procedure for Linearly Constrained Optimization},
28692  journal	= {Mathematical Programming},
28693  year		= {1989},
28694  volume	= {45},
28695  pages		= {437--474}
28696}
28697
28698@Article{	  gill.murray.ea:projected,
28699  author	= {P. E. Gill and W. Murray and M. A. Saunders and J. A. Tomlin and M. H. Wright},
28700  title		= {On Projected {N}ewton Barrier Methods for Linear Programming and an Equivalence
28701		  to {K}armarkar's Projective Method},
28702  journal	= {Mathematical Programming},
28703  year		= {1986},
28704  volume	= {36},
28705  pages		= {183--209}
28706}
28707
28708@Article{	  gill.murray:newton-type,
28709  author	= {P. E. Gill and W. Murray},
28710  title		= {{N}ewton--Type Methods for Unconstrained and Linearly Constrained Optimization},
28711  journal	= {Mathematical Programming},
28712  year		= {1974},
28713  volume	= {7},
28714  pages		= {311--350}
28715}
28716
28717@InProceedings{	  gill.murray:nonlinear,
28718  author	= {P. E. Gill and W. Murray},
28719  title		= {Nonlinear Least Squares and Nonlinearly Constrained Optimization},
28720  booktitle	= {Numerical Analysis, Dundee 1975},
28721  year		= {1976},
28722  editor	= {G. A. Watson},
28723  publisher	= {Springer-Verlag},
28724  address	= {Berlin},
28725  note		= {Lecture Notes in Mathematics 506}
28726}
28727
28728@Book{		  ginsburgh.waelbroeck:activity,
28729  author	= {V. Ginsburgh and J. Waelbroeck},
28730  title		= {Activity Analysis and General Equilibrium Modelling},
28731  publisher	= {North--Holland},
28732  year		= {1981},
28733  address	= {Amsterdam}
28734}
28735
28736@Article{	  glad.goldstein:errors,
28737  author	= {T. Glad and A. Goldstein},
28738  title		= {Optimization of Functions Whose Values are Subject to Small Errors},
28739  journal	= {BIT},
28740  year		= {1977},
28741  volume	= {17},
28742  pages		= {160--169}
28743}
28744
28745@Article{	  glad.polak:multiplier,
28746  author	= {T. Glad and E. Polak},
28747  title		= {A Multiplier Method with Automatic Limitation of Penalty Growth},
28748  journal	= {Mathematical Programming},
28749  year		= {1979},
28750  volume	= {17},
28751  pages		= {140--155}
28752}
28753
28754@Book{		  glashoff.gustafson:linear,
28755  author	= {K. Glashoff and S.--\AA. Gustafson},
28756  title		= {Linear Optimization and Approximation},
28757  year		= {1983},
28758  publisher	= {Springer-Verlag},
28759  address	= {New York}
28760}
28761
28762@Article{	  glover:improved,
28763  author	= {F. Glover},
28764  title		= {Improved Linear Programming Models for Discriminant Analysis},
28765  journal	= {Decision Sciences},
28766  year		= {1990},
28767  volume	= {21},
28768  pages		= {771--785}
28769}
28770
28771@Book{		  glasserman:gradient,
28772  author	= {P. Glasserman},
28773  title		= {Gradient Estimation via Perturbation Analysis},
28774  publisher	= {Kluwer},
28775  year		= {1991},
28776  address	= {Norwell, MA}
28777}
28778
28779@Article{	  glover:tabu,
28780  author	= {F. Glover},
28781  title		= {Tabu Search -- Part 1},
28782  journal	= {ORSA Journal on Computing},
28783  year		= {1989},
28784  volume	= {1},
28785  pages		= {190--206}
28786}
28787
28788@Article{	  glowinski.marroco:sur,
28789  author	= {R. Glowinski and A. Marroco},
28790  title		= {Sur l'Approximation, par Elements d'Ordre un, et la Resolution, par
28791		  Penalisation-Dualit\'{e}, d'une Classe de Problemes de {D}irichlet non Lineares},
28792  journal	= {Revue Fran\c{c}aise d'Automatique, Informatique, et Recherche Operationelle},
28793  year		= {1975},
28794  volume	= {9(R-2)},
28795  pages		= {41--76}
28796}
28797
28798@TechReport{	  goeleven.nguyen:convergence,
28799  author	= {D. Goeleven and V. H. Nguyen},
28800  title		= {On the Convergence of the Parallel Constraint Distribution Algorithm},
28801  institution	= {Department of Mathematics, Facultes Universitaires de Namur},
28802  year		= {1992},
28803  address	= {B-5000 Namur, Belgium}
28804}
28805
28806@Book{		  goldberg:genetic,
28807  author	= {D. E. Goldberg},
28808  title		= {Genetic Algorithms in Search, Optimization and Machine Learning},
28809  year		= {1989},
28810  publisher	= {Addison-Wesley},
28811  address	= {Reading MA}
28812}
28813
28814@Article{	  golden.skiscim:simulated,
28815  author	= {B. L. Golden and C. C. Skiscim},
28816  title		= {Using Simulated Annealing to Solve Routing and Location Problems},
28817  journal	= {Naval Research Logistics Quarterly},
28818  year		= {1989},
28819  volume	= {33},
28820  pages		= {261--279}
28821}
28822
28823@Article{	  goldfarb.reid:practical,
28824  author	= {D. Goldfarb and J. K. Reid},
28825  title		= {A Practical Steepest--Edge Simplex Algorithm},
28826  journal	= {Mathematical Programming},
28827  year		= {1977},
28828  volume	= {12},
28829  pages		= {361--371}
28830}
28831
28832@InProceedings{	  goldman.tucker:theory,
28833  author	= {A. J. Goldman and A. W. Tucker},
28834  title		= {Theory of Linear Programming},
28835  booktitle	= {Linear Inequalities and Related Systems},
28836  year		= {1956},
28837  editor	= {H. W. Kuhn and A. W. Tucker},
28838  publisher	= {Princeton University Press},
28839  address	= {Princeton, New Jersey},
28840  pages		= {53--97}
28841}
28842
28843@Book{		  goldstein:constructive,
28844  author	= {A. A. Goldstein},
28845  title		= {Constructive Real Analysis},
28846  year		= {1967},
28847  publisher	= {Harper and Row},
28848  address	= {New York}
28849}
28850
28851@Article{	  golshtein:block,
28852  author	= {Ye. G. Golshtein},
28853  title		= {The Block Method of Convex Programming},
28854  journal	= {Soviet Mathematics Doklady},
28855  year		= {1986},
28856  volume	= {33},
28857  pages		= {584--587}
28858}
28859
28860@Article{	  golshtein:general,
28861  author	= {Ye. G. Golshtein},
28862  title		= {A General Approach to Decomposition of Optimization Systems},
28863  journal	= {Soviet Journal of Computer and Systems Sciences},
28864  year		= {1987},
28865  volume	= {3},
28866  pages		= {105--114}
28867}
28868
28869@Article{	  golub.kahan:calculating,
28870  author	= {G. H. Golub and W. Kahan},
28871  title		= {Calculating the Singular Values and Pseudoinverse of a Matrix},
28872  journal	= {SIAM Journal on Numerical Analysis},
28873  year		= {1965},
28874  volume	= {2},
28875  pages		= {205--224}
28876}
28877
28878@Book{		  golub.vanloan:matrix,
28879  author	= {G. H. Golub and C. F. {Van Loan}},
28880  title		= {Matrix Computations},
28881  year		= {1996},
28882  publisher	= {The John Hopkins University Press},
28883  address	= {Baltimore, Maryland},
28884  edition	= {Third}
28885}
28886
28887@TechReport{	  gomez.barron:exponential,
28888  author	= {S. Gom\'{e}z and C. Barr\'{o}n},
28889  title		= {The Exponential Tunneling Method},
28890  institution	= {Universidad Nacional Autonoma de Mexico},
28891  year		= {1991},
28892  type		= {Serie Reportes de Investigacion},
28893  number	= {3},
28894  address	= {Mexico}
28895}
28896
28897@Article{	  gondzio:multiple,
28898  author	= {J. Gondzio},
28899  title		= {Multiple Centrality Corrections in a Primal-Dual Method for Linear Programming},
28900  journal	= {Computational Optimization and Applications},
28901  year		= {1996},
28902  volume	= {6},
28903  pages		= {137--156}
28904}
28905
28906@TechReport{	  gonzaga:algorithm,
28907  author	= {C. C. Gonzaga},
28908  title		= {An Algorithm for Solving Linear Programming Problems in {O}($n^3${L})
28909		  operations},
28910  institution	= {Electronics Research Laboratory, University of California},
28911  year		= {1987},
28912  address	= {Berkeley, California},
28913  number	= {UCB/ERL M87/10},
28914  type		= {Memorandum}
28915}
28916
28917@Article{	  gould.tolle:necessary,
28918  author	= {F. J. Gould and J. W. Tolle},
28919  title		= {A Necessary and Sufficient Qualification for Constrained Optimization},
28920  journal	= {SIAM Journal on Applied Mathematics},
28921  year		= {1971},
28922  volume	= {20},
28923  pages		= {164--172}
28924}
28925
28926@InProceedings{	  goux.kulkarni.ea:enabling,
28927  author	= {J.-P. Goux and S. Kulkarni and J. Linderoth and M. E. Yoder},
28928  title		= {An Enabling Framework for Master-Worker Applications on the Computational Grid},
28929  booktitle	= {Proceedings of the Ninth {IEEE} International Symposium on High Performance
28930		  Distributed Computing},
28931  year		= {2000}
28932}
28933
28934@Article{	  gowda.pang:basic,
28935  author	= {M. S. Gowda and J. S. Pang},
28936  title		= {The Basic Theorem of Complementarity Revisited},
28937  journal	= {Mathematical Programming},
28938  year		= {1993},
28939  volume	= {58},
28940  pages		= {161--178}
28941}
28942
28943@Article{	  gowda.pang:boundedness,
28944  author	= {M. S. Gowda and J. S. Pang},
28945  title		= {On the Boundedness and Stability of Solutions to the Affine Variational
28946		  Inequality Problem},
28947  journal	= {SIAM Journal on Control and Optimization},
28948  year		= {1994},
28949  volume	= {32},
28950  pages		= {421--441}
28951}
28952
28953@Article{	  gowda.pang:stability,
28954  author	= {M. S. Gowda and J. S. Pang},
28955  title		= {Stability analysis of variational inequalities and nonlinear complementarity
28956		  problems, via the mixed linear complementarity problem and degree theory},
28957  journal	= {Mathematics of Operations Research},
28958  year		= {1994},
28959  volume	= {19},
28960  pages		= {831--879}
28961}
28962
28963@Article{	  gowda.sznajder:generalizations,
28964  author	= {M. S. Gowda and R. Sznajder},
28965  title		= {Generalizations of ${P}_0$-- and ${P}$-- properties; Extended Vertical and
28966		  Horizontal {LCP}s},
28967  journal	= {Linear Algebra and Its Applications},
28968  year		= {1995},
28969  volume	= {223/224},
28970  pages		= {695--715}
28971}
28972
28973@Article{	  gowda.sznajder:generalized,
28974  author	= {M. S. Gowda and R. Sznajder},
28975  title		= {The Generalized Order Linear Complementarity Problem},
28976  journal	= {SIAM Journal on Matrix Analysis and Applications},
28977  year		= {1994}
28978}
28979
28980@Article{	  gowda:analysis,
28981  author	= {M. S. Gowda},
28982  title		= {An Analysis of Zero Set and Global Error Bound Properties of a Piecewise Affine
28983		  Function via its Recession Function},
28984  journal	= {SIAM Journal on Matrix Analysis and Applications},
28985  year		= {1996},
28986  volume	= {17},
28987  pages		= {594--609}
28988}
28989
28990@Article{	  gowda:applications,
28991  author	= {M. S. Gowda},
28992  title		= {Applications of Degree Theory to Linear Complementarity Problems},
28993  journal	= {Mathematics of Operations Research},
28994  year		= {1993},
28995  volume	= {18},
28996  pages		= {868--879}
28997}
28998
28999@Article{	  grant.woo:clinical,
29000  author	= {W. I. Grant and S. Y. Woo},
29001  title		= {Clinical and Financial Issues for Intensity Modulated Radiation Therapy
29002		  Delivery},
29003  journal	= {Seminars in Radiation Oncology},
29004  year		= {1999},
29005  volume	= {9},
29006  pages		= {99--107}
29007}
29008
29009@Article{	  greenberg.hegerich:branch,
29010  author	= {H. Greenberg and R. L. Hegerich},
29011  title		= {A Branch Search Algorithm for the Knapsack Problem},
29012  journal	= {Management Science},
29013  year		= {1970},
29014  volume	= {16},
29015  pages		= {327--332}
29016}
29017
29018@InCollection{	  grefenstette:incorporating,
29019  crossref	= {davis:genetic},
29020  author	= {J. J. Grefenstette},
29021  title		= {Incorporating Problem Specific Knowledge into Genetic Algorithms}
29022}
29023
29024@Book{		  griewank.corliss:automatic,
29025  editor	= {A. Griewank and G. F. Corliss},
29026  title		= {Automatic Differentiation of Algorithms: Theory, Implementation and Application},
29027  publisher	= {SIAM},
29028  year		= {1991},
29029  address	= {Philadelphia, Pennsylvania}
29030}
29031
29032@Article{	  griewank.juedes.ea:adol-c,
29033  author	= {A. Griewank and D. Juedes and J. Utke},
29034  title		= {{ADOL}-{C}: {A} Package for the Automatic Differentiation of Algorithms Written
29035		  in {C}/{C}++},
29036  journal	= {{ACM} Transactions on Mathematical Software},
29037  year		= {1996},
29038  volume	= {22},
29039  pages		= {131--167}
29040}
29041
29042@Article{	  griffith.stewart:nonlinear,
29043  author	= {R. E. Griffith and R. A. Stewart},
29044  title		= {A Nonlinear Programming Technique for the Optimization of Continuous Processing
29045		  Systems},
29046  journal	= {Management Science},
29047  year		= {1961},
29048  volume	= {7},
29049  pages		= {379--392}
29050}
29051
29052@Article{	  grinold:mathematical,
29053  author	= {R. C. Grinold},
29054  title		= {Mathematical Methods for {PA}ttern Classification},
29055  journal	= {Management Science},
29056  year		= {1972},
29057  volume	= {19},
29058  pages		= {272--289}
29059}
29060
29061@Article{	  grippo.lampariello.ea:class,
29062  author	= {L. Grippo and F. Lampariello and S. Lucidi},
29063  title		= {A Class of Nonmonotone Stabilization Methods in Unconstrained Optimization},
29064  journal	= {Numerische Mathematik},
29065  year		= {1991},
29066  volume	= {59},
29067  pages		= {779--805}
29068}
29069
29070@Article{	  grippo.lampariello.ea:global,
29071  author	= {L. Grippo and F. Lampariello and S. Lucidi},
29072  title		= {Global Convergence and Stabilization of Unconstrained Minimization Methods
29073		  Without Derivatives},
29074  journal	= {Journal of Optimization Theory and Applications},
29075  year		= {1988},
29076  volume	= {56},
29077  pages		= {385--406}
29078}
29079
29080@Article{	  grippo.lampariello.ea:nonmonotone,
29081  author	= {L. Grippo and F. Lampariello and S. Lucidi},
29082  title		= {A Nonmonotone Line Search Technique for {N}ewton's Method},
29083  journal	= {SIAM Journal on Numerical Analysis},
29084  year		= {1986},
29085  volume	= {23},
29086  pages		= {707--716}
29087}
29088
29089@Misc{		  grippo:private,
29090  author	= {L. Grippo},
29091  title		= {Private Communication},
29092  year		= {1992},
29093  address	= {Universita degli Studi di Roma ``La Sapienza'',Roma}
29094}
29095
29096@Article{	  grotschel.lovasz.ea:ellipsoid,
29097  author	= {M. Gr{\"{o}}tschel and L. Lov\'{a}sz and A. Schrijver},
29098  title		= {The Ellipsoid Method and its Consequences in Combinatorial Optimization},
29099  journal	= {Combinatorica},
29100  year		= {1981},
29101  volume	= {1},
29102  pages		= {169--197}
29103}
29104
29105@Article{	  guignard:generalized,
29106  author	= {M. Guignard},
29107  title		= {Generalized {K}uhn--{T}ucker conditions for Mathematical Programming in a
29108		  {B}anach Space},
29109  journal	= {SIAM Journal on Control and Optimization},
29110  year		= {1969},
29111  volume	= {7},
29112  pages		= {232--241}
29113}
29114
29115@Article{	  guler.ye:convergence,
29116  author	= {O. G{\"{u}}ler and Y. Ye},
29117  title		= {Convergence Behavior of Interior--Point Algorithms},
29118  journal	= {Mathematical Programming},
29119  year		= {1993},
29120  volume	= {60},
29121  pages		= {215--228}
29122}
29123
29124@Article{	  guler:existence,
29125  author	= {O. G{\"{u}}ler},
29126  title		= {Existence of Interior Points and Interior Paths in Nonlinear Monotone
29127		  Complementarity Problems},
29128  journal	= {Mathematics of Operations Research},
29129  year		= {1993},
29130  volume	= {18},
29131  pages		= {128--147}
29132}
29133
29134@Article{	  guler:generalized,
29135  author	= {O. G{\"{u}}ler},
29136  title		= {Generalized Linear Complementarity Problems},
29137  journal	= {Mathematics of Operations Research},
29138  year		= {1995},
29139  volume	= {20},
29140  pages		= {441--448}
29141}
29142
29143@Article{	  gupta.sen:minimizing,
29144  author	= {S. Gupta and T. Sen},
29145  title		= {Minimizing the Range of Lateness on a Single Machine},
29146  journal	= {Journal of the Operational Research Society},
29147  year		= {1984},
29148  volume	= {35},
29149  pages		= {853--857}
29150}
29151
29152@InCollection{	  gustafson:numerical,
29153  author	= {S.-\AA. Gustafson},
29154  title		= {On Numerical Analysis in Semi-Infinite Programming},
29155  booktitle	= {Semi-Infinite Programming},
29156  year		= {1979},
29157  editor	= {R. Hettich},
29158  publisher	= {Springer-Verlag},
29159  address	= {Berlin}
29160}
29161
29162@Article{	  gustafsson.lind.ea:simultaneous,
29163  author	= {A. Gustafsson and B. K. Lind and R. Svensson and A. Brahme},
29164  title		= {Simultaneous optimization of dynamic multileaf collimation and scanning patterns
29165		  or compensation filters using a generalized pencil beam algorithm},
29166  journal	= {Medical Physics},
29167  year		= {1995},
29168  volume	= {22},
29169  number	= {7},
29170  pages		= {1141--1156}
29171}
29172
29173@PhDThesis{	  ha:decomposition,
29174  author	= {C. D. Ha},
29175  title		= {Decomposition Methods for Structured Convex Programming},
29176  year		= {1980},
29177  school	= {Department of Industrial Engineering, University of Wisconsin--Madison}
29178}
29179
29180@TechReport{	  haakonsen.mathiesen:toward,
29181  author	= {L. Haakonsen and L. Mathiesen},
29182  title		= {Toward a more comprehensive cost measure for {CO2}-reductions},
29183  institution	= {NHH, Bergen},
29184  year		= {1995},
29185  type		= {Discussion Paper},
29186  number	= {3/95}
29187}
29188
29189@Article{	  haaland.norman.ea:vemod,
29190  author	= {J. Haaland and V. Norman and T. Rutherford and T. Wergeland},
29191  title		= {{VEMOD}: {A} {R}icardo--{H}eckscher--{O}hlin--{J}ones Model of World Trade},
29192  journal	= {Scandinavian Journal of Economics},
29193  year		= {1987}
29194}
29195
29196@Article{	  haarhoff.buys:method,
29197  author	= {P. C. Haarhoff and J. D. Buys},
29198  title		= {A New Method for the Optimization of a Nonlinear Function Subject to Nonlinear
29199		  Constraints},
29200  journal	= {Computer Journal},
29201  year		= {1970},
29202  volume	= {12},
29203  pages		= {178--184}
29204}
29205
29206@Article{	  habetler.kostreva:direct,
29207  author	= {G. J. Habetler and M. M. Kostreva},
29208  title		= {On a direct algorithm for nonlinear complementarity problems},
29209  journal	= {SIAM Journal on Control and Optimization},
29210  volume	= {16},
29211  year		= {1978},
29212  pages		= {504--511}
29213}
29214
29215@Book{		  hadamard:cauchys,
29216  author	= {J. Hadamard},
29217  title		= {Cauchy's Problem in Linear Partial Differential Equations},
29218  year		= {1923},
29219  publisher	= {Yale University Press}
29220}
29221
29222@Article{	  haddock.mittenthal:simulation,
29223  author	= {J. Haddock and J. Mittenthal},
29224  title		= {Simulation optimization using simulated annealing},
29225  journal	= {Comput. Ind. Eng.},
29226  year		= {1992},
29227  volume	= {22},
29228  pages		= {387--395}
29229}
29230
29231@TechReport{	  hamala:general,
29232  author	= {M. Hamala},
29233  title		= {A General Approach to Interior Point Methods with Linear Parameter for
29234		  Mathematical Programming},
29235  institution	= {Royal Institute of Technology},
29236  year		= {1978},
29237  number	= {1978--20},
29238  type		= {Department of Mathematics Paper TRITA--MAT}
29239}
29240
29241@Article{	  han.mangasarian:dual,
29242  author	= {S.--P. Han and O. L. Mangasarian},
29243  title		= {A Dual Differentiable Exact Penalty Function},
29244  journal	= {Mathematical Programming},
29245  year		= {1983},
29246  volume	= {25},
29247  pages		= {293--301}
29248}
29249
29250@Article{	  han.mangasarian:exact,
29251  author	= {S.--P. Han and O. L. Mangasarian},
29252  title		= {Exact Penalty Functions in Nonlinear Programming},
29253  journal	= {Mathematical Programming},
29254  year		= {1979},
29255  volume	= {17},
29256  pages		= {251--269}
29257}
29258
29259@Article{	  han.pang.ea:globally,
29260  author	= {S.--P. Han and J. S. Pang and N. Rangaraj},
29261  title		= {Globally Convergent {N}ewton Methods for Nonsmooth Equations},
29262  journal	= {Mathematics of Operations Research},
29263  year		= {1992},
29264  volume	= {17},
29265  pages		= {586--607}
29266}
29267
29268@Article{	  han:decomposition,
29269  author	= {S.--P. Han},
29270  title		= {A Decomposition Method and its Application to Convex Programming},
29271  journal	= {Mathematics of Operations Research},
29272  year		= {1989},
29273  volume	= {14},
29274  pages		= {237--248}
29275}
29276
29277@Article{	  han:globally,
29278  author	= {S.--P. Han},
29279  title		= {A Globally Convergent Method for Nonlinear Programming},
29280  journal	= {Journal of Optimization Theory and Applications},
29281  year		= {1977},
29282  volume	= {22},
29283  pages		= {297--309}
29284}
29285
29286@Article{	  han:superlinearly,
29287  author	= {S.--P. Han},
29288  title		= {Superlinearly Convergent Variable Metric Algorithms for General Nonlinear
29289		  Programming Problems},
29290  journal	= {Mathematical Programming},
29291  year		= {1976},
29292  volume	= {11},
29293  pages		= {263--282}
29294}
29295
29296@Article{	  hansen.koopmans:definition,
29297  author	= {T. Hansen and T. C. Koopmans},
29298  title		= {On the Definition and Computation of a Capital Stock Invariant Under
29299		  Optimization},
29300  journal	= {Journal of Economic Theory},
29301  year		= {1972},
29302  volume	= {5},
29303  pages		= {487--523}
29304}
29305
29306@InCollection{	  harker.pang:damped,
29307  author	= {P. T. Harker and J. S. Pang},
29308  title		= {A Damped {N}ewton Method for the Linear Complementarity Problem},
29309  booktitle	= {Computational Solution of Nonlinear Systems of Equations},
29310  publisher	= {AMS},
29311  year		= {1990},
29312  editor	= {E. L. Allgower and K. Georg},
29313  number	= {26},
29314  series	= {Lectures on Applied Mathematics},
29315  address	= {Providence, Rhode Island},
29316  pages		= {265--284}
29317}
29318
29319@Article{	  harker.pang:existence,
29320  author	= {P. T. Harker and J. S. Pang},
29321  title		= {Existence of Optimal Solutions to Mathematical Programs with Equilibrium
29322		  Constraints},
29323  journal	= {Operations Research Letters},
29324  year		= {1988},
29325  volume	= {7},
29326  pages		= {61--64}
29327}
29328
29329@Article{	  harker.pang:finite-dimensional,
29330  author	= {P. T. Harker and J. S. Pang},
29331  title		= {Finite--dimensional variational inequality and nonlinear complementarity
29332		  problems: {A} survey of theory, algorithms and applications},
29333  journal	= {Mathematical Programming},
29334  year		= {1990},
29335  volume	= {48},
29336  pages		= {161--220}
29337}
29338
29339@Article{	  harker.xiao:newtons,
29340  author	= {P. T. Harker and B. Xiao},
29341  title		= {{N}ewton's Method for the Nonlinear Complementarity Problem: {A}
29342		  {B}--Differentiable Equation Approach},
29343  journal	= {Mathematical Programming},
29344  year		= {1990},
29345  volume	= {48},
29346  pages		= {339--358}
29347}
29348
29349@Article{	  harker:accelerating,
29350  author	= {P. T. Harker},
29351  title		= {Accelerating the Convergence of the Diagonalization and Projection Algorithms for
29352		  Finite--Dimensional Variational Inequalities},
29353  journal	= {Mathematical Programming},
29354  year		= {1988},
29355  volume	= {41},
29356  pages		= {29--50}
29357}
29358
29359@Article{	  harker:generalized,
29360  author	= {P. T. Harker},
29361  title		= {Generalized {N}ash Games and Quasi-Variational Inequalities},
29362  journal	= {European Journal of Operations Research},
29363  volume	= {54},
29364  pages		= {81--94},
29365  year		= {1987}
29366}
29367
29368@Book{		  harker:lectures,
29369  author	= {P. T. Harker},
29370  title		= {Lectures on Computation of Equilibria with Equation--Based Methods},
29371  publisher	= {CORE Foundation, Louvain--la--Neuve, Universit\'{e} Catholique de Louvain},
29372  year		= {1993},
29373  series	= {CORE Lecture Series}
29374}
29375
29376@Article{	  harris:pivot,
29377  author	= {P. M. J. Harris},
29378  title		= {Pivot Selection Methods of the {D}evex {LP} Code},
29379  journal	= {Mathematical Programming},
29380  year		= {1973},
29381  volume	= {5},
29382  pages		= {1--28}
29383}
29384
29385@InCollection{	  harrison.kristrom:carbon,
29386  author	= {G. W. Harrison and B. Kristrom},
29387  title		= {Carbon Emissions and the Economic Costs of Transport Policy in {S}weden},
29388  booktitle	= {Environment and Transport in Economic Modelling},
29389  publisher	= {Kluwer Academic Publishers},
29390  year		= {1997},
29391  editor	= {R. Roson and K. A. Small},
29392  address	= {Amsterdam}
29393}
29394
29395@Article{	  harrison.rutherford.ea:increased,
29396  author	= {G. W. Harrison and T. F. Rutherford and D. G. Tarr},
29397  title		= {Increased Competition and Completion of the Market in the {E}uropean {U}nion},
29398  journal	= {Journal of Economic Integration},
29399  year		= {1996},
29400  volume	= {11},
29401  pages		= {332--365}
29402}
29403
29404@Article{	  harrison.rutherford.ea:liberalizing,
29405  author	= {G. W. Harrison and T. F. Rutherford and I. Wooton},
29406  title		= {Liberalizing Agriculture in the {E}uropean {U}nion},
29407  journal	= {Journal of Policy Modeling},
29408  year		= {1995},
29409  volume	= {17}
29410}
29411
29412@Article{	  harrison.rutherford.ea:quantifying,
29413  author	= {G. W. Harrison and T. F. Rutherford and D. Tarr},
29414  title		= {Quantifying the {U}ruguay Round},
29415  journal	= {Finance and Development},
29416  year		= {1995},
29417  volume	= {32},
29418  pages		= {38--41}
29419}
29420
29421@InProceedings{	  harrison.rutherford.ea:quantifying*1,
29422  author	= {G. W. Harrison and T. F. Rutherford and D. G. Tarr},
29423  title		= {Quantifying the {U}ruguay Round},
29424  year		= {1996},
29425  booktitle	= {The {U}ruguay Round and the Developing Economies},
29426  address	= {New York},
29427  editors	= {W. Martin and L. A. Winters},
29428  publisher	= {Cambridge University Press}
29429}
29430
29431@Article{	  harrison.rutherford.ea:quantifying*2,
29432  author	= {G. W. Harrison and T. F. Rutherford and D. Tarr},
29433  title		= {Quantifying the {U}ruguay Round},
29434  journal	= {The Economic Journal},
29435  year		= {1997},
29436  volume	= {107},
29437  pages		= {1405--1430}
29438}
29439
29440@Article{	  harrison.rutherford.ea:trade,
29441  author	= {G. W. Harrison and T. F. Rutherford and D. G. Tarr},
29442  title		= {Trade Reform in the Partially Liberalized Economy of {T}urkey},
29443  journal	= {The World Bank Economic Review},
29444  year		= {1993},
29445  volume	= {7},
29446  pages		= {191--217}
29447}
29448
29449@Article{	  hartman.stampacchia:nonlinear,
29450  author	= {P. Hartman and G. Stampacchia},
29451  title		= {On some nonlinear differential-functional equations},
29452  journal	= {Acta Mathematica},
29453  year		= {1966},
29454  volume	= {115},
29455  pages		= {271--310}
29456}
29457
29458@Book{		  harvey:forecasting,
29459  author	= {Andrew C. Harvey},
29460  title		= {Forecasting, Structural Time Series Models and the {K}alman Filter},
29461  publisher	= {Cambridge University Press},
29462  address	= {New York, NY},
29463  year		= {1989}
29464}
29465
29466@Article{	  haurie.marcotte:relationship,
29467  author	= {A. Haurie and P. Marcotte},
29468  title		= {On the Relationship between {N}ash--{C}ournot and {W}ardrop Equilibria},
29469  journal	= {Networks},
29470  year		= {1985},
29471  volume	= {15},
29472  pages		= {295--308}
29473}
29474
29475@Article{	  hearn.lawphongpanich.ea:restricted,
29476  author	= {D. W. Hearn and S. Lawphongpanich and J. A. Ventura},
29477  title		= {Restricted Simplicial Decomposition: Computation and Extensions},
29478  journal	= {Mathematical Programming Study},
29479  year		= {1987},
29480  volume	= {31},
29481  pages		= {99--118}
29482}
29483
29484@Article{	  hearn:gap,
29485  author	= {D. W. Hearn},
29486  title		= {The Gap Function of a Convex Program},
29487  journal	= {Operations Research Letters},
29488  year		= {1982},
29489  volume	= {1},
29490  pages		= {67--71}
29491}
29492
29493@Article{	  hedlund.gustavsson:design,
29494  author	= {P. Hedlund and A. Gustavsson},
29495  title		= {Design and Evaluation of Modified Simplex Methods having Enhanced Convergence
29496		  Ability},
29497  journal	= {Analytica Chimica Acta},
29498  year		= {1992},
29499  volume	= {259},
29500  pages		= {243--256}
29501}
29502
29503@Article{	  helgason.kennington.ea:parallelization,
29504  author	= {R. V. Helgason and J. L. Kennington and H. A. Zaki},
29505  title		= {A Parallelization of the Simplex Method},
29506  journal	= {Annals of Operations Research},
29507  year		= {1988},
29508  volume	= {14},
29509  pages		= {17--40}
29510}
29511
29512@Article{	  helgason.kennington.ea:polynomially,
29513  author	= {Richard Helgason and James Kennington and H. Lall},
29514  title		= {A Polynomially Bounded Algorithm for Singly Constrained Quadratic Programs},
29515  journal	= {Mathematical Programming},
29516  year		= {1980},
29517  volume	= {18},
29518  pages		= {338--343}
29519}
29520
29521@Book{		  henderson.quandt:microeconomic,
29522  author	= {J. M. Henderson and R. E. Quandt},
29523  title		= {Microeconomic Theory},
29524  publisher	= {McGraw--Hill},
29525  address	= {New York},
29526  year		= {1980},
29527  edition	= {Third}
29528}
29529
29530@TechReport{	  hendrickson.leland:chaco,
29531  author	= {B. Hendrickson and R. Leland},
29532  title		= {The {C}haco User's Guide: Version 2},
29533  institution	= {Sandia National Laboratories},
29534  type		= {Technical Report},
29535  number	= {SAND94-2692},
29536  address	= {Albuquerque, New Mexico},
29537  year		= {1994}
29538}
29539
29540@InProceedings{	  hendrickson.leland:multilevel,
29541  author	= {B. Hendrickson and R. Leland},
29542  title		= {A Multilevel Algorithm for Partitioning Graphs},
29543  booktitle	= {Proceedings of Supercomputing '95},
29544  year		= {1995}
29545}
29546
29547@Book{		  hertz.krogh.ea:introduction,
29548  author	= {J. Hertz and A. Krogh and R. G. Palmer},
29549  title		= {Introduction to the Theory of Neural Computation},
29550  year		= {1991},
29551  publisher	= {Addison-Wesley},
29552  address	= {Redwood City, California}
29553}
29554
29555@Article{	  hertz.werra:tabu,
29556  author	= {A. Hertz and D. de Werra},
29557  title		= {Using {T}abu Search techniques for Graph Coloring},
29558  journal	= {Computing},
29559  year		= {1987},
29560  volume	= {29},
29561  pages		= {345--351}
29562}
29563
29564@InCollection{	  hettich:review,
29565  author	= {R. Hettich},
29566  title		= {A Review of Numerical Methods for Semi-Infinite Optimization},
29567  booktitle	= {Semi-Infinite Programming and Applications},
29568  year		= {1983},
29569  editor	= {A. V. Fiacco and K. O. Kortanek},
29570  publisher	= {Springer-Verlag},
29571  address	= {Berlin}
29572}
29573
29574@Article{	  highleyman:note,
29575  author	= {W. H. Highleyman},
29576  title		= {A Note on Linear Separation},
29577  journal	= {IRE Transactions on Electronic Computers},
29578  year		= {1961},
29579  volume	= {10},
29580  pages		= {777--778}
29581}
29582
29583@Article{	  hildreth:quadratic,
29584  author	= {C. Hildreth},
29585  title		= {A Quadratic Programming Procedure},
29586  journal	= {Naval Research Logistics Quarterly},
29587  year		= {1957},
29588  volume	= {4},
29589  pages		= {79--85},
29590  note		= {Erratum, p. 361}
29591}
29592
29593@Book{		  himmelblau:applied,
29594  author	= {D. M. Himmelblau},
29595  title		= {Applied Nonlinear Programming},
29596  year		= {1972},
29597  publisher	= {McGraw--Hill},
29598  address	= {New York}
29599}
29600
29601@Book{		  hiriart-urruty.lemarechal:convex,
29602  author	= {Jean-Baptiste Hiriart-Urruty and Claude Lemar\'{e}chal},
29603  title		= {Convex Analysis and Minimization Algorithms {I}},
29604  year		= {1993},
29605  publisher	= {Springer Verlag},
29606  address	= {Berlin},
29607  volume	= {305},
29608  series	= {Grundlehren der mathematischen Wissenschaften}
29609}
29610
29611@TechReport{	  hironaka:introduction,
29612  author	= {H. Hironaka},
29613  title		= {Introduction to real-analytic sets and real-analytic maps},
29614  institution	= {Instituto Matematico ``L. Tonelli'', Universit\`a di Pisa},
29615  year		= {1973},
29616  type		= {Technical Report},
29617  address	= {Pisa, Italy}
29618}
29619
29620@Article{	  ho.lee.ea:decomposition,
29621  author	= {J. K. Ho and T. C. Lee and R. P. Sundarraj},
29622  title		= {Decomposition of Linear Programs Using Parallel Computation},
29623  journal	= {Mathematical Programming},
29624  year		= {1988},
29625  volume	= {42},
29626  pages		= {391--405}
29627}
29628
29629@Article{	  ho.loute:computational,
29630  author	= {J. K. Ho and E. Loute},
29631  title		= {Computational Experience with Advanced Implementation of Decomposition Algorithms
29632		  for Linear Programming},
29633  journal	= {Mathematical Programming},
29634  year		= {1983},
29635  volume	= {27},
29636  pages		= {283--290}
29637}
29638
29639@Book{		  hock.schittkowski:test,
29640  author	= {W. Hock and K. Schittkowski},
29641  title		= {Test Examples for Nonlinear Programming Codes},
29642  volume	= {187},
29643  series	= {Lecture Notes in Economics and Mathematical Systems},
29644  year		= {1981},
29645  publisher	= {Springer Verlag},
29646  address	= {Berlin, Germany}
29647}
29648
29649@Book{		  hockney.jesshope:parallel,
29650  author	= {R. W. Hockney and C. R. Jesshope},
29651  title		= {Parallel Computers 2},
29652  publisher	= {Adam Hilger},
29653  year		= {1988},
29654  address	= {Bristol}
29655}
29656
29657@Article{	  hoffman:approximate,
29658  author	= {A. J. Hoffman},
29659  title		= {On Approximate Solutions of Systems of Linear Inequalities},
29660  journal	= {Journal of Research of the National Bureau of Standards},
29661  year		= {1952},
29662  volume	= {49},
29663  pages		= {263--265}
29664}
29665
29666@Article{	  hogan:comments,
29667  author	= {W. W. Hogan},
29668  title		= {Comments on Manne and Richels: `{CO2} Emission Limits: An Economic Cost Analysis
29669		  for the {USA}},
29670  journal	= {The Energy Journal},
29671  year		= {1990},
29672  volume	= {11},
29673  pages		= {75--84}
29674}
29675
29676@Article{	  hogan:energy,
29677  author	= {W. W. Hogan},
29678  title		= {Energy Policy Models for {P}roject {I}ndependence},
29679  journal	= {Computers \& Operations Research},
29680  year		= {1975},
29681  volume	= {2},
29682  pages		= {251--271}
29683}
29684
29685@Book{		  holland:adaptation,
29686  author	= {J. Holland},
29687  title		= {Adaptation in Natural and Artificial Systems},
29688  year		= {1975},
29689  publisher	= {The University of Michigan Press},
29690  address	= {Ann Arbor, Michigan}
29691}
29692
29693@Article{	  holmes.mackie:comparison,
29694  author	= {T. Holmes and T. R. Mackie},
29695  title		= {A comparison of three inverse treatment planning algorithms},
29696  journal	= {Physics in Medicine and Biology},
29697  year		= {1994},
29698  volume	= {39},
29699  number	= {1},
29700  pages		= {91--106}
29701}
29702
29703@Article{	  holmes.mackie:filtered,
29704  author	= {T. Holmes and T. R. Mackie},
29705  title		= {A filtered backprojection dose calculation method for inverse treatment
29706		  planning},
29707  journal	= {Medical Physics},
29708  year		= {1994},
29709  volume	= {21},
29710  number	= {2},
29711  pages		= {303--313}
29712}
29713
29714@Article{	  hooke.jeeves:direct,
29715  author	= {R. Hooke and T. A. Jeeves},
29716  title		= {Direct Search Solution of Numerical and Statistical Problems},
29717  journal	= {Journal of Associated Computing Machinery},
29718  year		= {1961},
29719  volume	= {8},
29720  pages		= {212--229}
29721}
29722
29723@Article{	  hoppe.mittelmann:multi-grid,
29724  author	= {R. H. W. Hoppe and H. D. Mittelmann},
29725  title		= {A Multi-grid Continuation Strategy for Parameter-dependent Variational
29726		  Inequalities},
29727  journal	= {Journal of Computational and Applied Mathematics},
29728  year		= {1989},
29729  volume	= {26},
29730  pages		= {35--46}
29731}
29732
29733@Book{		  horn.johnson:matrix,
29734  author	= {R. A. Horn and C. R. Johnson},
29735  title		= {Matrix Anaysis},
29736  publisher	= {Cambridge University Press},
29737  year		= {1985},
29738  address	= {Cambridge, England}
29739}
29740
29741@Article{	  hornik.stinchcombe.ea:multilayer,
29742  author	= {K. Hornik and M. Stinchcombe and H. White},
29743  title		= {Multilayer Feedforward Networks are Universal Approximators},
29744  journal	= {Neural Networks},
29745  year		= {1989},
29746  volume	= {2},
29747  pages		= {359--366}
29748}
29749
29750@Article{	  horowitz.sahni:computing,
29751  author	= {E. Horowitz and S. Sahni},
29752  title		= {Computing Partitions with Applications to the Knapsack Problem},
29753  journal	= {jacm},
29754  year		= {1974},
29755  volume	= {21},
29756  pages		= {277--292}
29757}
29758
29759@Article{	  hristov.fallone:continuous,
29760  author	= {D. H. Hristov and B. G. Fallone},
29761  title		= {A continuous penalty function method for inverse treatment planning},
29762  journal	= {Medical Physics},
29763  year		= {1998},
29764  volume	= {25},
29765  number	= {2},
29766  pages		= {208--223}
29767}
29768
29769@Article{	  hu.cheng.ea:numerical,
29770  author	= {Y. Hu and H. S. Cheng and T. Arai and Y. Kobayashi and S. Aoyama},
29771  title		= {Numerical simulation of piston ring in mixed lubrication---a nonaxisymmetrical
29772		  analysis},
29773  journal	= {Transactions of the {ASME}},
29774  volume	= {116},
29775  year		= {1994},
29776  pages		= {470--478}
29777}
29778
29779@InProceedings{	  hua.sheu:skyscraper,
29780  author	= {K. A. Hua and S. Sheu},
29781  title		= {Skyscraper Broadcasting: {A} New Broadcasting System for Metropolitan
29782		  Video-On-Demand Systems},
29783  year		= {1997},
29784  booktitle	= {Proceedings of the {ACM SIGCOMM'97} Conference},
29785  address	= {Cannes, France},
29786  pages		= {89--100}
29787}
29788
29789@Article{	  huang.pang:option,
29790  author	= {J. Huang and J. S. Pang},
29791  title		= {Option Pricing and Linear Complementarity},
29792  journal	= {Journal of Computational Finance},
29793  volume	= {2},
29794  year		= {1998},
29795  pages		= {31--60}
29796}
29797
29798@InCollection{	  huard:resolution,
29799  author	= {P. Huard},
29800  title		= {Resolution of Mathematical Programming with Nonlinear Constraints by the Method
29801		  of Centers},
29802  booktitle	= {Nonlinear Programming},
29803  year		= {1967},
29804  editor	= {J. Abadie},
29805  publisher	= {North--Holland},
29806  address	= {Amsterdam},
29807  pages		= {207--219}
29808}
29809
29810@Book{		  huber:robust,
29811  author	= {P. J. Huber},
29812  title		= {Robust Statistics},
29813  year		= {1981},
29814  publisher	= {John Wiley},
29815  address	= {New York}
29816}
29817
29818@Book{		  hudson:piecewise,
29819  author	= {J. F. P. Hudson},
29820  title		= {Piecewise Linear Topology},
29821  publisher	= {Benjamin},
29822  address	= {New York},
29823  year		= {1969}
29824}
29825
29826@InCollection{	  hunter.markusen.ea:north,
29827  author	= {L. Hunter and J. R. Markusen and T. F. Rutherford},
29828  title		= {{N}orth {A}merican free trade and the production of finished automobiles},
29829  booktitle	= {Modeling North American Economic Integration},
29830  publisher	= {Kluwer Academic Publishers},
29831  year		= {1995},
29832  editor	= {T. Kehoe and P. Kehoe},
29833  pages		= {117--130}
29834}
29835
29836@Article{	  ibarra.kim:fast,
29837  author	= {O. H. Ibarra and C. E. Kim},
29838  title		= {Fast Approximation Algorithms for the Knapsack and Sum of Subset Problems},
29839  journal	= {jacm},
29840  year		= {1975},
29841  volume	= {22},
29842  pages		= {463--468}
29843}
29844
29845@Article{	  ijiri:fundamental,
29846  author	= {Y. Ijiri},
29847  title		= {Fundamental Queries in Aggregation Theory},
29848  journal	= {Journal of the American Statistical Association},
29849  year		= {1971},
29850  volume	= {66},
29851  pages		= {766--782}
29852}
29853
29854@Article{	  ingargiola.korsh:reduction,
29855  author	= {G. P. Ingargiola and J. F. Korsh},
29856  title		= {A Reduction Algorithm for the Zero--One Single Knapsack Problem},
29857  journal	= {Management Science},
29858  year		= {1973},
29859  volume	= {20},
29860  pages		= {460--463}
29861}
29862
29863@Article{	  ioffe:variational,
29864  author	= {A. D. Ioffe},
29865  title		= {Variational Analysis of a Composite Function: {A} Formula for the Lower
29866		  Second--Order Directional Derivative},
29867  journal	= {Journal of Mathematical Analysis and its Applications},
29868  year		= {1993}
29869}
29870
29871@Article{	  iri.imai:multiplicative,
29872  author	= {M. Iri and H. Imai},
29873  title		= {A Multiplicative Barrier Function Method for Linear Programming},
29874  journal	= {Algorithmica},
29875  year		= {1986},
29876  volume	= {1},
29877  pages		= {455--482}
29878}
29879
29880@Article{	  isac.goeleven:implicit,
29881  author	= {G. Isac and D. Goeleven},
29882  title		= {The Implicit General Order Complementarity Problem, Models and Iterative
29883		  Methods},
29884  journal	= {Annals of Operations Research},
29885  year		= {1993}
29886}
29887
29888@Article{	  isac.kostreva:generalized,
29889  author	= {G. Isac and M. M. Kostreva},
29890  title		= {The Generalized Order Complementarity Problem},
29891  journal	= {Journal of Optimization Theory and Applications},
29892  volume	= {19},
29893  pages		= {227--232},
29894  year		= {1991}
29895}
29896
29897@Book{		  isac:complementarity,
29898  author	= {G. Isac},
29899  title		= {Complementarity Problems},
29900  publisher	= {Springer-Verlag},
29901  year		= {1992},
29902  series	= {Lecture Notes in Mathematics},
29903  address	= {New York}
29904}
29905
29906@Article{	  iusem.svaiter:variant,
29907  author	= {A. N. Iusem and B. F. Svaiter},
29908  title		= {A Variant of {K}orpelevich's Method for Variational Inequalities with a New
29909		  Search Strategy},
29910  journal	= {Optimization},
29911  year		= {1997},
29912  volume	= {42},
29913  pages		= {309--321}
29914}
29915
29916@Article{	  iusem:convergence,
29917  author	= {A. N. Iusem},
29918  title		= {On the Convergence of Iterative Methods for Symmetric Linear Complementarity
29919		  Problems},
29920  journal	= {Mathematical Programming},
29921  year		= {1993},
29922  volume	= {59},
29923  pages		= {33--48}
29924}
29925
29926@Article{	  jackson.kutcher.ea:probability,
29927  author	= {A. Jackson and G. J. Kutcher and E. D. Yorke},
29928  title		= {Probability of Radiation-Induced Complications for Normal Tissues with Parallel
29929		  Architecture subject to Non-Uniform Irradiation},
29930  journal	= {Medical Physics},
29931  year		= {1993},
29932  volume	= {20},
29933  pages		= {613--625}
29934}
29935
29936@Article{	  jackson:optimization,
29937  author	= {A. Jackson and X. H. Wang and R. Mohan},
29938  title		= {Optimization of Conformal Treatment Planning and Quadratic Dose Objectives
29939		  (abstract)},
29940  journal	= {Medical Physics},
29941  year		= {1994},
29942  volume	= {21},
29943  pages		= {1006}
29944}
29945
29946@TechReport{	  jackson:scheduling,
29947  author	= {J. R. Jackson},
29948  title		= {Scheduling a Production Line to Minimize Maximum Tardiness},
29949  institution	= {University of California},
29950  year		= {1955},
29951  address	= {Los Angeles},
29952  number	= {43},
29953  type		= {Research Report}
29954}
29955
29956@Article{	  jansen.roos.ea:polynomiality,
29957  author	= {B. Jansen and C. Roos and T. Terlaky and A. Yoshise},
29958  title		= {Polynomiality of Primal-Dual Affine Scaling Algorithms for Nonlinear
29959		  Complementarity Problems},
29960  journal	= {Mathematical Programming},
29961  volume	= {78},
29962  pages		= {315--346},
29963  year		= {1997}
29964}
29965
29966@Article{	  jiang.fukushima.ea:trust,
29967  author	= {H. Jiang and M. Fukushima and L. Qi and D. Sun},
29968  title		= {A Trust Region Method for Solving Generalized Complementarity Problems},
29969  journal	= {SIAM Journal on Optimization},
29970  volume	= {8},
29971  pages		= {140--157},
29972  year		= {1998}
29973}
29974
29975@Article{	  jiang.qi:nonsmooth,
29976  author	= {H. Jiang and L. Qi},
29977  title		= {A New Nonsmooth Equations Approach to Nonlinear Complementarity Problems},
29978  journal	= {SIAM Journal on Control and Optimization},
29979  volume	= {35},
29980  pages		= {178--193},
29981  year		= {1997}
29982}
29983
29984@TechReport{	  jiang.ralph:qpecgen,
29985  author	= {H. Jiang and D. Ralph},
29986  title		= {{QPECgen}, a {MATLAB} Generator for Mathematical Programs with Quadratic
29987		  Objectives and Affine Variational Inequality Constraints},
29988  year		= {1997},
29989  institution	= {Department of Mathematics and Statistics, The University of Melbourne},
29990  address	= {Australia}
29991}
29992
29993@TechReport{	  jiang.ralph:smooth,
29994  author	= {H. Jiang and D. Ralph},
29995  title		= {Smooth {SQP} methods for Mathematical Programs with Nonlinear Complementarity
29996		  Constraints},
29997  year		= {1997},
29998  institution	= {Department of Mathematics and Statistics, The University of Melbourne},
29999  address	= {Australia}
30000}
30001
30002@Article{	  jiang:unconstrained,
30003  author	= {H. Jiang},
30004  title		= {Unconstrained Minimization Approaches to Nonlinear Complementarity Problems},
30005  journal	= {Journal of Global Optimization, forthcoming},
30006  year		= {1997}
30007}
30008
30009@Article{	  jittorntrum.osborne:strong,
30010  author	= {K. Jittorntrum and M. R. Osborne},
30011  title		= {Strong uniqueness and second order convergence in nonlinear discrete
30012		  approximation},
30013  journal	= {Numerische Mathematik},
30014  year		= {1980},
30015  volume	= {34},
30016  pages		= {439--455}
30017}
30018
30019@InProceedings{	  jog.suh.ea:effects,
30020  crossref	= {schaeffer:third},
30021  author	= {P. Jog and J. Y. Suh and D. Van Gucht},
30022  title		= {The Effects of Population Size, Heuristic Crossover and Local Improvement on a
30023		  Genetic Algorithm for the Travelling Salesman Problem},
30024  pages		= {110--115}
30025}
30026
30027@Article{	  jog.suh.ea:parallel,
30028  author	= {P. Jog and J. Y. Suh and D. Van Gucht},
30029  title		= {Parallel Genetic Algorithms Applied to the Travelling Salesman Problem},
30030  journal	= {SIAM Journal on Optimization},
30031  year		= {1991},
30032  volume	= {1}
30033}
30034
30035@Article{	  johansson.klarbring:rigid,
30036  author	= {L. Johansson and A. Klarbring},
30037  title		= {The Rigid Punch Problem with Friction using Variational Inequalities and Linear
30038		  Complementarity},
30039  journal	= {Mechanics of Structures \& Machines},
30040  volume	= {20},
30041  pages		= {293--319},
30042  year		= {1992}
30043}
30044
30045@Article{	  johnson.aragon.ea:optimization,
30046  author	= {D. S. Johnson and C. R. Aragon and L. A. McGeoch and C. Schevon},
30047  title		= {Optimization by Simulated Annealing: An Experimental Evaluation; Part {I}, Graph
30048		  Partitioning},
30049  journal	= {Operations Research},
30050  year		= {1989},
30051  volume	= {37},
30052  pages		= {865--892}
30053}
30054
30055@Article{	  johnson:optimally,
30056  author	= {R. Johnson},
30057  title		= {Optimally Balancing Large Assembly Lines with {FABLE}},
30058  journal	= {Management Science},
30059  year		= {1988},
30060  volume	= {34},
30061  pages		= {240--253}
30062}
30063
30064@Article{	  johnsson:solving,
30065  author	= {S. L. Johnsson},
30066  title		= {Solving Tridiagonal Systems on Ensemble Architectures},
30067  journal	= {SIAM Journal on Scientific and Statistical Computing},
30068  year		= {1987},
30069  volume	= {8},
30070  pages		= {475--489}
30071}
30072
30073@Article{	  jorgenson.wilcoxen:reducing,
30074  author	= {D. W. Jorgenson and P. J. Wilcoxen},
30075  title		= {Reducing {US} Carbon Emissions: An Econometric General Equilibrium Assessment},
30076  journal	= {Resource and Energy Economics},
30077  year		= {1993},
30078  volume	= {15},
30079  pages		= {7--25}
30080}
30081
30082@TechReport{	  josephy:hogans,
30083  author	= {N. H. Josephy},
30084  title		= {Hogan's {PIES} Example and {L}emke's Algorithm},
30085  institution	= {Mathematics Research Center, University of Wisconsin--Madison},
30086  year		= {1979},
30087  address	= {Madison, Wisconsin},
30088  number	= {1972},
30089  type		= {Technical Summary Report}
30090}
30091
30092@TechReport{	  josephy:newton,
30093  author	= {N. H. Josephy},
30094  title		= {A {N}ewton Method for the {PIES} Energy Model},
30095  institution	= {Mathematics Research Center, University of Wisconsin--Madison},
30096  year		= {1979},
30097  address	= {Madison, Wisconsin},
30098  number	= {1971},
30099  type		= {Technical Summary Report}
30100}
30101
30102@PhDThesis{	  josephy:newtons,
30103  author	= {N. H. Josephy},
30104  title		= {{N}ewton's Method for Generalized Equations and the {PIES} Energy Model},
30105  year		= {1979},
30106  school	= {Department of Industrial Engineering, University of Wisconsin--Madison}
30107}
30108
30109@TechReport{	  josephy:newtons*1,
30110  author	= {N. H. Josephy},
30111  title		= {{N}ewton's Method for Generalized Equations},
30112  institution	= {Mathematics Research Center, University of Wisconsin},
30113  year		= {1979},
30114  address	= {Madison, Wisconsin},
30115  number	= {1965},
30116  type		= {Technical Summary Report}
30117}
30118
30119@TechReport{	  josephy:quasi-newton,
30120  author	= {N. H. Josephy},
30121  title		= {Quasi--{N}ewton Methods for Generalized Equations},
30122  institution	= {Mathematics Research Center, University of Wisconsin},
30123  year		= {1979},
30124  address	= {Madison, Wisconsin},
30125  number	= {1966},
30126  type		= {Technical Summary Report}
30127}
30128
30129@PhDThesis{	  kabbadj:methodes,
30130  author	= {S. Kabbadj},
30131  title		= {Methodes Proximales Entropiques},
30132  school	= {Universit\'{e} de Montpellier II -- Sciences et Techniques du Languedoc},
30133  year		= {1994},
30134  type		= {Doctoral Thesis}
30135}
30136
30137@Book{		  kall.wallace:stochastic,
30138  author	= {P. Kall and S. W. Wallace},
30139  title		= {Stochastic Programming},
30140  publisher	= {John Wiley \& Sons},
30141  year		= {1994},
30142  address	= {Chichester}
30143}
30144
30145@Article{	  kallman.agren.ea:tumor,
30146  author	= {P. Kallman and A. Agren and A. Brahme},
30147  title		= {Tumor and Normal Tissue Responses to Fractionated Non-Uniform Dose Delivery},
30148  journal	= {International Journal of Radiation Biology},
30149  year		= {1992},
30150  volume	= {62},
30151  pages		= {249--262}
30152}
30153
30154@Misc{		  kalvelagen:gams,
30155  author	= {Erwin Kalvelagen},
30156  title		= {The {GAMS} {I/O} Library},
30157  howpublished	= {mimeo, GAMS Development Corporation},
30158  year		= {1992},
30159  note		= {Preliminary Version}
30160}
30161
30162@Article{	  kaneko:complete,
30163  author	= {I. Kaneko},
30164  title		= {Complete solution of a class of elastic-plastic structures},
30165  journal	= {Computer Methods in Applied Mechanics and Engineering},
30166  volume	= {21},
30167  year		= {1980},
30168  pages		= {193--209}
30169}
30170
30171@Article{	  kaneko:mathematical,
30172  author	= {I. Kaneko},
30173  title		= {A mathematical programming method for the inelastic analysis of reinforced
30174		  concrete frames},
30175  journal	= {International Journal for Numerical Methods in Engineering},
30176  volume	= {11},
30177  year		= {1977},
30178  pages		= {1137--1154}
30179}
30180
30181@Article{	  kaneko:piecewise,
30182  author	= {I. Kaneko},
30183  title		= {Piecewise linear elastic-plastic analysis},
30184  journal	= {International Journal for Numerical Methods in Engineering},
30185  volume	= {14},
30186  year		= {1979},
30187  pages		= {757--767}
30188}
30189
30190@Article{	  kanet:minimizing,
30191  author	= {J. J. Kanet},
30192  title		= {Minimizing the Average Deviation of Job Completion Times about a Common Due
30193		  Date},
30194  journal	= {Naval Research Logistics Quarterly},
30195  year		= {1981},
30196  volume	= {28},
30197  pages		= {643--651}
30198}
30199
30200@Article{	  kantorovich:mathematical,
30201  author	= {L. V. Kantorovich},
30202  title		= {Mathematical Methods in the Organization and Planning of Production},
30203  journal	= {Management Science},
30204  year		= {1960},
30205  volume	= {6},
30206  pages		= {366--422},
30207  note		= {English translation, Russian version 1939}
30208}
30209
30210@Article{	  kanzow.fukushima:equivalence,
30211  author	= {C. Kanzow and M. Fukushima},
30212  title		= {Equivalence of the Generalized Complementarity Problem to Differentiable
30213		  Unconstrained Minimization},
30214  journal	= {Journal of Optimization Theory and Applications},
30215  year		= {1996},
30216  volume	= {90},
30217  pages		= {581--603}
30218}
30219
30220@Article{	  kanzow.fukushima:theoretical,
30221  author	= {C. Kanzow and M. Fukushima},
30222  title		= {Theoretical and Numerical Investigation of the {D}-gap function for
30223		  Box-Constrained Variational Inequalities},
30224  journal	= {Mathematical Programming},
30225  year		= {1998},
30226  volume	= {83},
30227  pages		= {55--88}
30228}
30229
30230@Article{	  kanzow.jiang:continuation,
30231  author	= {C. Kanzow and H. Jiang},
30232  title		= {A Continuation Method for (Strongly) Monotone Variational Inequalities},
30233  journal	= {Mathematical Programming},
30234  year		= {1998},
30235  volume	= {81},
30236  pages		= {103--125}
30237}
30238
30239@Article{	  kanzow.kleinmichel:class,
30240  author	= {C. Kanzow and H. Kleinmichel},
30241  title		= {A Class of {N}ewton-Type Methods for Equality and Inequality Constrained
30242		  Optimization},
30243  journal	= {Optimization Methods and Software},
30244  year		= {1995},
30245  volume	= {5},
30246  pages		= {173--198}
30247}
30248
30249@Article{	  kanzow.kleinmichel:new,
30250  author	= {C. Kanzow and H. Kleinmichel},
30251  title		= {A New Class of Semismooth {N}ewton-Type Methods for Nonlinear Complementarity
30252		  Problems},
30253  journal	= {Computational Optimization and Applications},
30254  volume	= {11},
30255  pages		= {227--251},
30256  year		= {1998}
30257}
30258
30259@Article{	  kanzow.pieper:jacobian,
30260  author	= {C. Kanzow and H. Pieper},
30261  title		= {Jacobian Smoothing Methods for Nonlinear Complementarity Problems},
30262  journal	= {SIAM Journal on Optimization},
30263  year		= {1999},
30264  volume	= {9},
30265  pages		= {342--373}
30266}
30267
30268@Article{	  kanzow.qi:qp-free,
30269  author	= {C. Kanzow and H. -D. Qi},
30270  title		= {A {QP}-free constrained {N}ewton-type method for variational inequality
30271		  problems},
30272  journal	= {Mathematical Programming},
30273  year		= {1999},
30274  volume	= {85},
30275  pages		= {81--106}
30276}
30277
30278@Article{	  kanzow.yamashita.ea:ncp-functions,
30279  author	= {C. Kanzow and N. Yamashita and M. Fukushima},
30280  title		= {New {NCP}-functions and their properties},
30281  journal	= {Journal of Optimization Theory and Applications},
30282  year		= {1997},
30283  volume	= {94},
30284  pages		= {115--135}
30285}
30286
30287@TechReport{	  kanzow.zupke:inexact,
30288  author	= {C. Kanzow and M. Zupke},
30289  title		= {Inexact Trust-Region Methods for Nonlinear Complementarity Problems},
30290  year		= {1997},
30291  institution	= {Institute of Applied Mathematics, University of Hamburg},
30292  type		= {Preprint},
30293  number	= {127},
30294  address	= {Hamburg, Germany}
30295}
30296
30297@Article{	  kanzow:approach,
30298  author	= {C. Kanzow},
30299  title		= {A New Approach to Continuation Methods for Complementarity Problems with Uniform
30300		  {P}-Functions},
30301  journal	= {Operations Research Letters},
30302  volume	= {20},
30303  year		= {1997},
30304  pages		= {85--92}
30305}
30306
30307@Article{	  kanzow:equation-based,
30308  author	= {C. Kanzow},
30309  title		= {Some Equation--Based Methods for the Nonlinear Complementarity Problem},
30310  journal	= {Optimization Methods and Software},
30311  year		= {1994},
30312  volume	= {3},
30313  pages		= {327--340}
30314}
30315
30316@Article{	  kanzow:global,
30317  author	= {C. Kanzow},
30318  title		= {Global Convergence Properties of Some Iterative Methods for Linear
30319		  Complementarity Problems},
30320  journal	= {SIAM Journal on Optimization},
30321  year		= {1996},
30322  volume	= {6},
30323  pages		= {326--341}
30324}
30325
30326@Article{	  kanzow:inexact,
30327  author	= {C. Kanzow},
30328  title		= {An Inexact {QP}--based method for nonlinear complementarity problems},
30329  journal	= {Numerische Mathematik, forthcoming},
30330  year		= {1999}
30331}
30332
30333@Article{	  kanzow:noninterior,
30334  author	= {C. Kanzow},
30335  title		= {Some Noninterior Continuation Methods for Linear Complementarity Problems},
30336  journal	= {SIAM Journal on Matrix Analysis and Applications},
30337  volume	= {17},
30338  pages		= {851--868},
30339  year		= {1996}
30340}
30341
30342@Article{	  kanzow:nonlinear,
30343  author	= {C. Kanzow},
30344  title		= {Nonlinear Complementarity as Unconstrained Optimization},
30345  journal	= {Journal of Optimization Theory and Applications},
30346  year		= {1996},
30347  volume	= {88},
30348  pages		= {139--155}
30349}
30350
30351@TechReport{	  kanzow:semismooth,
30352  author	= {C. Kanzow},
30353  title		= {Semismooth {N}ewton-Type Methods for the Solution of Nonlinear Complementarity
30354		  Problems},
30355  institution	= {Institute of Applied Mathematics, University of Hamburg},
30356  year		= {1997},
30357  type		= {Preprint},
30358  address	= {Hamburg, Germany}
30359}
30360
30361@TechReport{	  kanzow:tools,
30362  annote	= {This should be replaced by kanzow:noninterior},
30363  author	= {C. Kanzow},
30364  title		= {Some Tools Allowing Interior--Point Methods to Become Noninterior},
30365  institution	= {Institute of Applied Mathematics, University of Hamburg},
30366  year		= {1994},
30367  address	= {Germany}
30368}
30369
30370@Article{	  kaplan.meier:nonparametric,
30371  author	= {E. L. Kaplan and P. Meier},
30372  title		= {Nonparametric Estimation from Incomplete Observations},
30373  journal	= {J. Am. Stat. Assoc.},
30374  year		= {1958},
30375  volume	= {53},
30376  pages		= {457--481}
30377}
30378
30379@Article{	  karamardian:complementarity,
30380  author	= {S. Karamardian},
30381  title		= {The Complementarity Problem},
30382  journal	= {Mathematical Programming},
30383  year		= {1972},
30384  volume	= {2},
30385  pages		= {107--129}
30386}
30387
30388@Article{	  karamardian:complementarity*1,
30389  author	= {S. Karamardian},
30390  title		= {Complementarity Problems over {C}ones with Monotone and Pseudomonotone Maps},
30391  journal	= {Journal of Optimization Theory and Applications},
30392  year		= {1976},
30393  volume	= {18},
30394  pages		= {445--454}
30395}
30396
30397@Article{	  karamardian:generalized,
30398  author	= {S. Karamardian},
30399  title		= {Generalized Complementarity Problem},
30400  journal	= {Journal of Optimization Theory and Applications},
30401  year		= {1971},
30402  volume	= {8},
30403  pages		= {161--167}
30404}
30405
30406@Article{	  karmarkar.karp.ea:probabilistic,
30407  author	= {N. Karmarkar and R. M. Karp and G. S. Lueker and A. M. Odlyzko},
30408  title		= {Probabilistic Analysis of Optimum Partitioning},
30409  journal	= {Journal of Applied Probability},
30410  year		= {1986},
30411  volume	= {23},
30412  pages		= {626--645}
30413}
30414
30415@Article{	  karmarkar:polynomial,
30416  author	= {N. Karmarkar},
30417  title		= {A New Polynomial Time Algorithm for Linear Programming},
30418  journal	= {Combinatorica},
30419  year		= {1984},
30420  volume	= {4},
30421  pages		= {373--395}
30422}
30423
30424@Unpublished{	  karp:probabilistic,
30425  author	= {R. M. Karp},
30426  title		= {Probabilistic Analysis of Algorithms},
30427  note		= {(Lecture Notes)}
30428}
30429
30430@InCollection{	  karp:reducibility,
30431  author	= {R. M. Karp},
30432  title		= {Reducibility among Combinatorial Problems},
30433  booktitle	= {Complexity of Computer Computations},
30434  year		= {1972},
30435  editor	= {R. E. Miller and J. W. Thatcher},
30436  publisher	= {Plenum Press},
30437  address	= {New York},
30438  pages		= {85--103}
30439}
30440
30441@MastersThesis{	  karush:minima,
30442  author	= {W. Karush},
30443  title		= {Minima of Functions of Several Variables with Inequalities as Side Conditions},
30444  year		= {1939},
30445  school	= {Department of Mathematics, University of Chicago}
30446}
30447
30448@TechReport{	  karypis.kumar:metis,
30449  author	= {G. Karypis and V. Kumar},
30450  title		= {{METIS}: Unstructured Graph Partitioning and Sparse Matrix Ordering System,
30451		  Version 2.0},
30452  institution	= {University of Minnesota, Department of Computer Science},
30453  type		= {Technical Report},
30454  address	= {Minnesota},
30455  year		= {1995}
30456}
30457
30458@TechReport{	  karypis.kumar:multilevel,
30459  author	= {G. Karypis and V. Kumar},
30460  title		= {Multilevel k-way Partitioning Scheme for Irregular Graphs},
30461  institution	= {University of Minnesota, Department of Computer Science},
30462  type		= {Technical Report},
30463  number	= {95-064},
30464  address	= {Minnesota},
30465  year		= {1995}
30466}
30467
30468@Article{	  katukani:generalization,
30469  author	= {S. Katukani},
30470  title		= {A Generalization of {B}rouwer's Fixed Point Theorem},
30471  journal	= {Duke Mathematical Journal},
30472  year		= {1941},
30473  volume	= {8},
30474  pages		= {457--459}
30475}
30476
30477@Article{	  keifer.wolfowitz:stochastic,
30478  author	= {J. Keifer and J. Wolfowitz},
30479  title		= {Stochastic Estimation of the Maximum of a Regression Function},
30480  journal	= {Annals of Mathematical Statistics},
30481  year		= {1952},
30482  volume	= {23},
30483  pages		= {462--466}
30484}
30485
30486@InCollection{	  kellog.li.ea:method,
30487  author	= {R. B. Kellog and T. Y. Li and J. A. Yorke},
30488  title		= {A Method of Continuation for Calculating a {B}rouwer Fixed Point},
30489  booktitle	= {Computing Fixed Points with Applications},
30490  year		= {1977},
30491  editor	= {S. Karamardian},
30492  publisher	= {Academic Press},
30493  pages		= {133--147}
30494}
30495
30496@Book{		  kennington.helgason:algorithms,
30497  author	= {J. L. Kennington and R. V. Helgason},
30498  title		= {Algorithms for Network Programming},
30499  year		= {1980},
30500  publisher	= {John Wiley \& Sons},
30501  address	= {New York}
30502}
30503
30504@Article{	  kernighan.lin:efficient,
30505  author	= {B. W. Kernighan and S. Lin},
30506  title		= {An Efficient Heuristic Procedure for Partitioning Graphs},
30507  journal	= {The Bell System Technical Journal},
30508  pages		= {291--307},
30509  volume	= {29},
30510  year		= {1970}
30511}
30512
30513@Article{	  khachian:polynomial,
30514  author	= {L. G. Khachian},
30515  title		= {A Polynomial Algorithm for Linear Programming},
30516  journal	= {Soviet Mathematics Doklady},
30517  year		= {1979},
30518  volume	= {20},
30519  pages		= {191--194}
30520}
30521
30522@Article{	  khobotov:modification,
30523  author	= {E. N. Khobotov},
30524  title		= {A Modification of the Extragradient Method for the Solution of Variational
30525		  Inequalities and some Optimization Problems},
30526  journal	= {Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki},
30527  year		= {1987},
30528  volume	= {27},
30529  pages		= {1462--1473}
30530}
30531
30532@Book{		  khuri.cornell:response,
30533  author	= {A. I. Khuri and J. A. Cornell},
30534  title		= {Response Surfaces: Designs and Analyses},
30535  publisher	= {Marcel Dekker},
30536  year		= {1987},
30537  address	= {New York}
30538}
30539
30540@Article{	  kibardin:decomposition,
30541  author	= {V. M. Kibardin},
30542  title		= {Decomposition into Functions in the Minimization Problems},
30543  journal	= {Automation and Remote Control},
30544  year		= {1980},
30545  volume	= {40},
30546  pages		= {1311--1323}
30547}
30548
30549@TechReport{	  king:sposl,
30550  author	= {A. J. King},
30551  title		= {{SP/OSL} Version 1.0 Stochastic Programming Interface Library User's Guide},
30552  institution	= {IBM T.J. Watson Research Center},
30553  year		= {1994},
30554  number	= {RC 19757},
30555  address	= {Yorktown Heights, New York}
30556}
30557
30558@Article{	  kirkpatrick.gelatt.ea:optimization,
30559  author	= {S. Kirkpatrick and C. D. Gelatt and M. P. {Vecchi Jr.}},
30560  title		= {Optimization by Simulated Annealing},
30561  journal	= {Science},
30562  year		= {1983},
30563  volume	= {220},
30564  pages		= {671--680}
30565}
30566
30567@Book{		  kiwiel:methods,
30568  author	= {K. C. Kiwiel},
30569  title		= {Methods of Descent for Nondifferentiable Optimization},
30570  year		= {1985},
30571  publisher	= {Springer-Verlag},
30572  address	= {Berlin},
30573  series	= {Lecture Notes in Mathematics},
30574  number	= {1133}
30575}
30576
30577@Article{	  kiwiel:twice,
30578  author	= {K. C. Kiwiel},
30579  title		= {On the Twice Differentiable Cubic Augmented {L}agrangian},
30580  journal	= {Journal of Optimization Theory and Applications},
30581  year		= {1996},
30582  volume	= {88},
30583  pages		= {233--236}
30584}
30585
30586@Article{	  klarbring.bjorkman:mathematical,
30587  author	= {A. Klarbring and G. Bj{\"{o}}rkman},
30588  title		= {A mathematical programming approach to contact problems with friction and varying
30589		  contact surface},
30590  journal	= {Computers \& Structures},
30591  volume	= {30},
30592  year		= {1988},
30593  pages		= {1185--1198}
30594}
30595
30596@Article{	  klarbring.bjorkman:solution,
30597  author	= {A. Klarbring and G. Bj{\"{o}}rkman},
30598  title		= {Solution of large displacement contact problems with friction using {N}ewton's
30599		  method for generalized equations},
30600  journal	= {International Journal for Numerical Methods in Engineering},
30601  volume	= {34},
30602  year		= {1992},
30603  pages		= {249--269}
30604}
30605
30606@Article{	  klarbring.pang:existence,
30607  author	= {A. Klarbring and J. S. Pang},
30608  title		= {Existence of solution to discrete semicoercive frictional contact problems},
30609  journal	= {{SIAM} Journal on Optimization, under review},
30610  year		= {1996}
30611}
30612
30613@Article{	  klarbring:discrete,
30614  author	= {A. Klarbring},
30615  title		= {On Discrete and Discretized Non-linear Elastic Structures in Unilateral Contact
30616		  (Stability, Uniqueness and Variational Principles)},
30617  journal	= {International Journal on Solids and Structures},
30618  volume	= {24},
30619  pages		= {459--479},
30620  year		= {1988}
30621}
30622
30623@TechReport{	  klarbring:large,
30624  author	= {A. Klarbring},
30625  title		= {Large Displacement Frictional Contact: a Continuum Framework for Finite Element
30626		  Discretization},
30627  number	= {LiTH-IKP-R-798},
30628  institution	= {Department of Mechanical Engineering, Link{\"o}ping Institute of Technology},
30629  address	= {Link{\"o}ping},
30630  year		= {1994}
30631}
30632
30633@Article{	  klarbring:mathematical,
30634  author	= {A. Klarbring},
30635  title		= {A mathematical programming approach to three dimensional contact problems with
30636		  friction},
30637  journal	= {Computer Methods in Applied Mechanics and Engineering},
30638  volume	= {58},
30639  year		= {1986},
30640  pages		= {175--200}
30641}
30642
30643@InCollection{	  klarbring:mathematical*1,
30644  author	= {A. Klarbring},
30645  title		= {Mathematical programming and augmented {L}agrangian methods for frictional
30646		  contact problems},
30647  editor	= {A. Curnier},
30648  booktitle	= {Proceedings Contact Mechanics International Symposium},
30649  publisher	= {Presse Polytechniques et Universitaires Romandes},
30650  address	= {Lausanne},
30651  year		= {1992},
30652  pages		= {409--422}
30653}
30654
30655@InCollection{	  klarbring:mathematical*2,
30656  author	= {A. Klarbring},
30657  title		= {Mathematical programming in contact problems},
30658  editors	= {M. H. Aliabadi and C. A. Brebbia},
30659  booktitle	= {Computational Methods for Contact Problems},
30660  publisher	= {Computational Mechanics Publications},
30661  address	= {Southampton},
30662  year		= {1993},
30663  pages		= {233--264}
30664}
30665
30666@Article{	  klarbring:quadratic,
30667  author	= {A. Klarbring},
30668  title		= {A quadratic program in frictionless contact problems},
30669  journal	= {International Journal of Engineering Science},
30670  volume	= {24},
30671  pages		= {1207--1217},
30672  year		= {1986}
30673}
30674
30675@InCollection{	  klee.minty:how,
30676  author	= {V. Klee and G. J. Minty},
30677  title		= {How Good is the Simplex Algorithm?},
30678  booktitle	= {Inequalities--III},
30679  year		= {1972},
30680  publisher	= {Academic Press},
30681  pages		= {159--175}
30682}
30683
30684@Article{	  kleywegt.shapiro:sample,
30685  author	= {A. Kleywegt and A. Shapiro},
30686  title		= {The Sample Average Approximation Method for Stochastic Discrete Optimization},
30687  journal	= {Stochastic Programming E-Print Series},
30688  year		= {1999},
30689  note		= {Available from dochost.rz.hu-berlin.de/speps}
30690}
30691
30692@Book{		  knuth:art,
30693  author	= {D. E. Knuth},
30694  title		= {The Art of Computer Programming},
30695  publisher	= {Addison-Wesley Longman Inc.},
30696  address	= {Reading, Massachusetts},
30697  year		= {1998},
30698  edition	= {Third},
30699  volume	= {2}
30700}
30701
30702@InProceedings{	  kocvara.outrata:nonsmooth,
30703  author	= {M. Ko\v{c}vara and J. V. Outrata},
30704  title		= {A nonsmooth approach to optimization problems with equilibrium constraints},
30705  crossref	= {ferris.pang:complementarity},
30706  pages		= {148--164}
30707}
30708
30709@Article{	  kocvara.outrata:optimization,
30710  author	= {M. Ko\v{c}vara and J. V. Outrata},
30711  title		= {On Optimization of Systems Governed by Implicit Complementarity Problems},
30712  volume	= {15},
30713  journal	= {Numerical Fucntional Analysis and Optimization},
30714  year		= {1994},
30715  pages		= {869--887}
30716}
30717
30718@InCollection{	  kocvara.outrata:solution,
30719  author	= {M. Ko\v{c}vara and J. V. Outrata},
30720  title		= {On the solution of optimum design problems with variational inequalities},
30721  editors	= {D. Z. Du and L. Qi and R. Womersley},
30722  booktitle	= {Recent Advances in Nonsmooth Optimization},
30723  publisher	= {World Scientific Publishers},
30724  address	= {Singapore},
30725  year		= {1995},
30726  pages		= {172--192}
30727}
30728
30729@Article{	  kojima.hirabayashi:homotopy,
30730  author	= {M. Kojima and R. Hirabayashi},
30731  title		= {Continuous deformation of nonlinear programs},
30732  journal	= {Mathematical Programming Study},
30733  editor	= {A.~V. Fiacco},
30734  publisher	= {North--Holland},
30735  address	= {Amsterdam},
30736  year		= {1984},
30737  volume	= {21},
30738  pages		= {150--198}
30739}
30740
30741@Article{	  kojima.megiddo.ea:homotopy,
30742  author	= {M. Kojima and N. Megiddo and T. Noma},
30743  title		= {Homotopy Continuation Methods for Nonlinear Complementarity Problems},
30744  journal	= {Mathematics of Operations Research},
30745  year		= {1991},
30746  volume	= {16},
30747  pages		= {754--774}
30748}
30749
30750@TechReport{	  kojima.megiddo.ea:primal-dual,
30751  author	= {M. Kojima and N. Megiddo and S. Mizuno},
30752  title		= {A primal-dual exterior point algorithm for linear programming},
30753  institution	= {IBM Alamaden Research Center},
30754  year		= {1991},
30755  number	= {RJ 8500},
30756  address	= {San Jose, California}
30757}
30758
30759@Book{		  kojima.megiddo.ea:unified,
30760  author	= {M. Kojima and N. Megiddo and T. Noma and A. Yoshise},
30761  title		= {A Unified Approach to Interior Point Algorithms for Linear Complementarity
30762		  Problems},
30763  year		= {1991},
30764  publisher	= {Springer-Verlag},
30765  address	= {Berlin},
30766  volume	= {538},
30767  series	= {Lecture Notes in Computer Science}
30768}
30769
30770@Article{	  kojima.mizuno.ea:continuation,
30771  author	= {M. Kojima and S. Mizuno and T. Noma},
30772  title		= {A New Continuation Method for Complementarity Problems with Uniform
30773		  {P}-function},
30774  journal	= {Mathematical Programming},
30775  year		= {1989},
30776  volume	= {43},
30777  pages		= {107--113}
30778}
30779
30780@TechReport{	  kojima.mizuno.ea:infeasible,
30781  author	= {M. Kojima and S. Mizuno and M. Todd},
30782  title		= {Infeasible interior-point primal-dual potential-reduction algorithms for linear
30783		  programming},
30784  institution	= {School of Operations Research and Industrial Engineering, Cornell University},
30785  year		= {1992},
30786  number	= {1023},
30787  address	= {Ithaca, New York},
30788  month		= aug
30789}
30790
30791@Article{	  kojima.mizuno.ea:onl,
30792  author	= {M. Kojima and S. Mizuno and A. Yoshise},
30793  title		= {An ${O}(\sqrt{n}{L})$ iteration potential reduction algorithm for linear
30794		  complementarity problems},
30795  journal	= {Mathematical Programming},
30796  year		= {1991},
30797  volume	= {50},
30798  pages		= {331--342}
30799}
30800
30801@Article{	  kojima.mizuno.ea:polynomial-time,
30802  author	= {M. Kojima and S. Mizuno and A. Yoshise},
30803  title		= {A Polynomial-Time Algorithm for a Class of Linear Complementarity Problems},
30804  journal	= {Mathematical Programming},
30805  year		= {1989},
30806  volume	= {44},
30807  pages		= {1--20}
30808}
30809
30810@Article{	  kojima.noma.ea:global,
30811  author	= {M. Kojima and T. Noma and A. Yoshise},
30812  title		= {Global Convergence in Infeasible Interior--Point Algorithms},
30813  journal	= {Mathematical Programming},
30814  volume	= {65},
30815  pages		= {43--72},
30816  year		= {1994}
30817}
30818
30819@Article{	  kojima.shindo.ea:interior-point,
30820  author	= {M. Kojima and S. Shindo and S. Hara},
30821  title		= {Interior--Point Methods for the Monotone Semidefinite Linear Complementarity
30822		  Problem in Symmetric Matrices},
30823  journal	= {SIAM Journal on Optimization},
30824  volume	= {7},
30825  pages		= {86--125}
30826}
30827
30828@Article{	  kojima.shindo:extensions,
30829  author	= {M. Kojima and S. Shindo},
30830  title		= {Extensions of {N}ewton and Quasi-{N}ewton Methods to Systems of {PC}$^1$
30831		  Equations},
30832  journal	= {Journal of Operations Research Society of Japan},
30833  year		= {1986},
30834  volume	= {29},
30835  pages		= {352--374}
30836}
30837
30838@Article{	  kojima:computational,
30839  author	= {M. Kojima},
30840  title		= {Computational Methods for Solving the Nonlinear Complementarity Problem},
30841  journal	= {Keio Engineering Reports},
30842  year		= {1974},
30843  volume	= {27},
30844  pages		= {1--41}
30845}
30846
30847@Article{	  kojima:recent,
30848  author	= {M. Kojima},
30849  title		= {Recent advances in mathematical programming. {X}. Computation of fixed points by
30850		  continuation methods},
30851  journal	= {Systems and Control},
30852  year		= {1981},
30853  volume	= {25},
30854  pages		= {421--430}
30855}
30856
30857@Article{	  kolesar:branch,
30858  author	= {P. J. Kolesar},
30859  title		= {A Branch and Bound Algorithm for the Knapsack Problem},
30860  journal	= {Management Science},
30861  year		= {1967},
30862  volume	= {13},
30863  pages		= {723--735}
30864}
30865
30866@Book{		  kolman.beck:elementary,
30867  author	= {B. Kolman and R. E. Beck},
30868  title		= {Elementary Linear Programming with Applications},
30869  year		= {1980},
30870  publisher	= {Academic Press}
30871}
30872
30873@Book{		  koopmans:activity,
30874  editor	= {T. C. Koopmans},
30875  title		= {Activity Analysis of Production and Allocation},
30876  publisher	= {John Wiley},
30877  address	= {New York},
30878  year		= {1951}
30879}
30880
30881@Article{	  korpelevich:extragradient,
30882  author	= {G. M. Korpelevich},
30883  title		= {The Extragradient Method for Finding Saddle Points and Other Problems},
30884  journal	= {Matecon},
30885  year		= {1976},
30886  volume	= {12},
30887  pages		= {747--756}
30888}
30889
30890@Article{	  kortanek.shi:convergence,
30891  author	= {K. O. Kortanek and M. Shi},
30892  title		= {Convergence Results and Numerical Experiments on a Linear Programming Hybrid
30893		  Algorithm},
30894  journal	= {European Journal of Operational Research},
30895  year		= {1987},
30896  volume	= {32},
30897  pages		= {47--61}
30898}
30899
30900@TechReport{	  kortanek.shi:remarks,
30901  author	= {K. O. Kortanek and M. Shi},
30902  title		= {Remarks on `Convergence Results and Numerical Experiments on a Linear Programming
30903		  Hybrid Algorithm 1985-6'},
30904  institution	= {College of Business Administration, University of Iowa},
30905  year		= {1987},
30906  address	= {Iowa City},
30907  number	= {87--1},
30908  type		= {Working Paper}
30909}
30910
30911@TechReport{	  kortanek:vector-supercomputer,
30912  author	= {K. O. Kortanek},
30913  title		= {Vector--Supercomputer Experiments with the Linear Programming Scaling Algorithm},
30914  institution	= {College of Business Administration, University of Iowa},
30915  year		= {1987},
30916  address	= {Iowa City},
30917  number	= {87--2},
30918  type		= {Working Paper}
30919}
30920
30921@Article{	  kostreva:block,
30922  author	= {M. M. Kostreva},
30923  title		= {Block Pivot Methods for Solving the Complementarity Problem},
30924  journal	= {Linear Algebra and Its Applications},
30925  volume	= {21},
30926  pages		= {207--215},
30927  year		= {1978}
30928}
30929
30930@Article{	  kostreva:elasto-hydrodynamic,
30931  author	= {M. M. Kostreva},
30932  title		= {Elasto-hydrodynamic Lubrication: {A} non-linear complementarity problem},
30933  journal	= {International Journal for Numerical Methods in Fluids},
30934  year		= {1984},
30935  volume	= {4},
30936  pages		= {377--397}
30937}
30938
30939@Article{	  kostreva:recent,
30940  author	= {M. M. Kostreva},
30941  title		= {Recent Results on Complementarity Models for Engineering and Economics},
30942  journal	= {Infor, Journal of the Canadian {OR} Society},
30943  year		= {1990},
30944  volume	= {28},
30945  pages		= {324--334}
30946}
30947
30948@Article{	  kotiah.steinberg:occurrences,
30949  author	= {T. C. T. Kotiah and D. I. Steinberg},
30950  title		= {Occurrences of Cycling and Other Phenomena Arising in a Class of Linear
30951		  Programming Models},
30952  journal	= {Communications of the ACM},
30953  volume	= {20},
30954  year		= {1977},
30955  pages		= {107--112}
30956}
30957
30958@Article{	  kotiah.steinberg:possibility,
30959  author	= {T. C. T. Kotiah and D. I. Steinberg},
30960  title		= {On the Possibility of Cycling with the Simplex Method},
30961  journal	= {Operations Research},
30962  volume	= {26},
30963  year		= {1978},
30964  pages		= {374--376}
30965}
30966
30967@InCollection{	  kuhn.tucker:nonlinear,
30968  author	= {H. W. Kuhn and A. W. Tucker},
30969  title		= {Nonlinear Programming},
30970  booktitle	= {Proceedings of the Second Berkeley Symposium on Mathematical Statistics and
30971		  Probability},
30972  year		= {1951},
30973  editor	= {J. Neyman},
30974  publisher	= {University of California Press},
30975  address	= {Berkeley and Los Angeles},
30976  pages		= {481--492}
30977}
30978
30979@Article{	  kummer:metric,
30980  author	= {B. Kummer},
30981  title		= {Metric regularity: characterizations, nonsmooth variations, and successive
30982		  approximation},
30983  journal	= {Journal of Mathematical Analysis and its Applications},
30984  year		= {},
30985  optkey	= {},
30986  optvolume	= {},
30987  optnumber	= {},
30988  optpages	= {},
30989  optmonth	= {},
30990  optnote	= {},
30991  optannote	= {}
30992}
30993
30994@InCollection{	  kummer:newtons,
30995  author	= {B. Kummer},
30996  title		= {{N}ewton's Method for Non--Differentiable Functions},
30997  booktitle	= {Advances in Mathematical Optimization},
30998  publisher	= {Akademie--Verlag},
30999  year		= {1988},
31000  editors	= {J. Guddat et al.},
31001  pages		= {114--125},
31002  address	= {Berlin}
31003}
31004
31005@Unpublished{	  kuntsevich.kappel:solvopt,
31006  author	= {A. Kuntsevich and F. Kappel},
31007  title		= {{SolvOpt}: The Solver for Local Nonlinear Optimization Problems},
31008  year		= {1997},
31009  note		= {Institute for Mathematics, Karl-Franzens University of Graz},
31010  url		= {http://bedvgm.kfunigraz.ac.at:8001/alex/solvopt/solvopt.html}
31011}
31012
31013@Book{		  kushner.clark:stochastic,
31014  author	= {H. J. Kushner and D. S. Clark},
31015  title		= {Stochastic Approximation Methods for Constrained and Unconstrained Systems},
31016  publisher	= {Springer-Verlag},
31017  year		= {1978},
31018  address	= {New York}
31019}
31020
31021@Article{	  kutcher.burman.ea:histogram,
31022  author	= {G. J. Kutcher and C. Burman and L. Brewster and M. Goitein and R. Mohan},
31023  title		= {Histogram reduction method for calculating complication probabilities for
31024		  three-dimensional treatment planning evaluation},
31025  journal	= {International Journal of Radiation Oncology, Biology and Physics},
31026  year		= {1991},
31027  optvolume	= {21},
31028  optpages	= {137-146}
31029}
31030
31031@Article{	  kutcher.burman:calculation,
31032  author	= {G. J. Kutcher and C. Burman},
31033  title		= {Calculation of Complication Probability Factors for Non-Uniform Normal Tissue
31034		  Irradiation: The Effective Volume Method},
31035  journal	= {International Journal of Radiation Oncology, Biology and Physics},
31036  year		= {1989},
31037  volume	= {16},
31038  pages		= {1623--1630}
31039}
31040
31041@Article{	  kwak.lee:complementarity,
31042  author	= {B. M. Kwak and B. C. Lee.},
31043  title		= {A Complementarity Problem Formulation for Two-Dimensional Frictional Contact
31044		  Problem},
31045  journal	= {Computers and Structures},
31046  volume	= {18},
31047  pages		= {469--480},
31048  year		= {1988}
31049}
31050
31051@Article{	  kwak:complementarity,
31052  author	= {B. M. Kwak},
31053  title		= {Complementarity Problem Formulation of Three-Dimensional Frictional Contact},
31054  journal	= {Journal of Applied Mechanics},
31055  volume	= {58},
31056  pages		= {134--140},
31057  year		= {1991}
31058}
31059
31060@Article{	  lagarias.reeds.ea:convergence,
31061  author	= {J. C. Lagarias and J. A. Reeds and M. H. Wright and P. E. Wright},
31062  title		= {Convergence of the {N}elder-{M}ead Simplex method in Low Dimensions},
31063  journal	= {SIAM Journal on Optimization},
31064  year		= {1998},
31065  volume	= {9},
31066  pages		= {112--147}
31067}
31068
31069@Article{	  lahaye:methode,
31070  author	= {E. Lahaye},
31071  title		= {Une {M}\'{e}thode de {R}\'{e}solution d'une Cat\'{e}gorie d'\'{E}quations
31072		  transcendantes},
31073  journal	= {C. R. Acad. Sci. Paris},
31074  year		= {1934},
31075  volume	= {198},
31076  pages		= {1840--1842}
31077}
31078
31079@Article{	  lahaye:solution,
31080  author	= {E. Lahaye},
31081  title		= {Solution of Systems of Transcendental Equations},
31082  journal	= {Acad. Roy. Belg. Bull. Cl. Sci.},
31083  year		= {1948},
31084  volume	= {5},
31085  pages		= {805--822}
31086}
31087
31088@Article{	  lahenbruch.mickey:estimation,
31089  author	= {P. A. Lahenbruch and R. M. Mickey},
31090  title		= {Estimation of Error Rates in Discriminant Analysis},
31091  journal	= {Technometrics},
31092  year		= {1968},
31093  volume	= {10},
31094  pages		= {1--11}
31095}
31096
31097@Article{	  lakshminarayan.lakshmanan.ea:optimal,
31098  author	= {S. Lakshminarayan and R. Lakshmanan and R. L. Papineau and R. Rochette},
31099  title		= {Optimal Single--Machine Scheduling with Earliness and Tardiness},
31100  journal	= {Operations Research},
31101  year		= {1978},
31102  volume	= {26},
31103  pages		= {1079--1082}
31104}
31105
31106@Article{	  land.doig:automatic,
31107  author	= {A. H. Land and A. G. Doig},
31108  title		= {An Automatic Method for Solving Discrete Programming Problems},
31109  journal	= {Econometrica},
31110  volume	= {28},
31111  year		= {1960},
31112  pages		= {497-520}
31113}
31114
31115@Article{	  langer.morrill:comparison,
31116  author	= {M. Langer and S. Morrill},
31117  title		= {A comparison of mixed integer programming and fast simulated annealing for
31118		  optimized beam weights in radiation therapy},
31119  journal	= {Medical Physics},
31120  year		= {1996},
31121  volume	= {23},
31122  number	= {6},
31123  pages		= {957--964}
31124}
31125
31126@Article{	  larsson.patriksson:class,
31127  author	= {T. Larsson and M. Patriksson},
31128  title		= {A Class of Gap Functions for Variational Inequalities},
31129  journal	= {Mathematical Programming},
31130  year		= {1994},
31131  volume	= {64},
31132  pages		= {53--79}
31133}
31134
31135@Article{	  lasdon.waren.ea:solving,
31136  author	= {L. S. Lasdon and A. Waren and S. Sarkar and F. Palacios},
31137  title		= {Solving the Pooling Problem Using Generalized Reduced Gradient and Successive
31138		  Linear Programming Algorithms},
31139  journal	= {ACM SIGMAP Bulletin},
31140  year		= {1979},
31141  volume	= {27},
31142  pages		= {9--15}
31143}
31144
31145@TechReport{	  lawler.lenstra.ea:sequencing,
31146  author	= {E. L. Lawler and J. K. Lenstra and A. H. G. Rinnooy Kan and D. B. Shmoys},
31147  title		= {Sequencing and Scheduling: Algorithms and Complexity},
31148  institution	= {Centre for Mathematics and Computer Science},
31149  year		= {1989},
31150  address	= {P.O. Box 4079, 1009 AB Amsterdam, The Netherlands},
31151  number	= {BS--R89xx}
31152}
31153
31154@Article{	  lawler:fast,
31155  author	= {E. L. Lawler},
31156  title		= {Fast Approximations Algorithms for Knapsack Problems},
31157  journal	= {Mathematics of Operations Research},
31158  year		= {1979},
31159  volume	= {4},
31160  pages		= {339--356}
31161}
31162
31163@Book{		  lawless:statistical,
31164  author	= {J. F. Lawless},
31165  title		= {Statistical Models and Methods for Lifetime Data},
31166  year		= {1982},
31167  publisher	= {John Wiley and Sons},
31168  address	= {New York, NY}
31169}
31170
31171@Article{	  lawrence.spingarn:fixed,
31172  author	= {J. Lawrence and J. E. Spingarn},
31173  title		= {On fixed points of non-expansive piecewise isometric mappings},
31174  journal	= {Proceedings of the London Mathematical Society},
31175  year		= {1987},
31176  volume	= {55},
31177  number	= {3},
31178  pages		= {605--624}
31179}
31180
31181@Article{	  leavitt.martin.ea:dynamic,
31182  author	= {D. D. Leavitt and M. Martin and J. H. Moeller and W. L. Lee},
31183  title		= {Dynamic wedge field techniques through computer-controlled collimator motion and
31184		  dose delivery},
31185  journal	= {Medical Physics},
31186  year		= {1990},
31187  volume	= {17},
31188  number	= {1},
31189  pages		= {87--92}
31190}
31191
31192@Article{	  leblanc.morlok.ea:efficient,
31193  author	= {L. J. LeBlanc and E. K. Morlok and W. P. Pierskalla},
31194  title		= {An Efficient Approach to Solving the Road Network Equilibrium Traffic Assignment
31195		  Problem},
31196  journal	= {Transportation Research},
31197  volume	= {9},
31198  year		= {1975},
31199  pages		= {309--318}
31200}
31201
31202@Article{	  lee:computational,
31203  author	= {S. S. Lee},
31204  title		= {A computational method for frictional contact problem using finite element
31205		  method},
31206  journal	= {International Journal for Numerical Methods in Engineering},
31207  volume	= {37},
31208  year		= {1994},
31209  pages		= {217--228}
31210}
31211
31212@PhDThesis{	  lee:military,
31213  author	= {D. K. Lee},
31214  title		= {Military Force Planning Problems Under Uncertainty},
31215  school	= {University of Wisconsin -- Madison},
31216  year		= {1996},
31217  address	= {Madison, Wisconsin}
31218}
31219
31220@Article{	  leibel.kutcher.ea:improved,
31221  author	= {S. A. Leibel and G. J. Kutcher and L. B. Harrison and D. E. Fass and C. Burman
31222		  and M. Hunt and R. Mohan and L. J. Brewster and C. C. Ling and Z. Y. Fuks},
31223  title		= {Improved Dose Distributions For 3{D} Conformal Boost Treatments in Carcinoma of
31224		  the Nasopharynx},
31225  journal	= {International Journal of Radiation Oncology, Biology and Physics},
31226  year		= {1991},
31227  volume	= {20},
31228  pages		= {823--833}
31229}
31230
31231@Article{	  lee.gallagher.ea:treatment,
31232  author	= {E. K. Lee and R. J. Gallagher and D. Silvern and C. S. Wuu and M. Zaider},
31233  title		= {Treatment Planning for Brachytherapy: an Integer Programming Model, Two
31234		  Computational Approaches and Experiments with Permanent Prostate Implant
31235		  Planning},
31236  journal	= {Physics in Medicine and Biology},
31237  year		= {1999},
31238  volume	= {44},
31239  pages		= {145--165}
31240}
31241
31242@Article{	  lemarechal.nemirovskii.ea:variants,
31243  author	= {C. Lemar\'{e}chal and A. Nemirovskii and Y. Nesterov},
31244  title		= {New Variants of Bundle Methods},
31245  year		= {1995},
31246  journal	= {Mathematical Programming},
31247  volume	= {69},
31248  pages		= {111--147}
31249}
31250
31251@InCollection{	  lemarechal.strodiot.ea:bundle,
31252  author	= {C. Lemar\'{e}chal and J. J. Strodiot and A. Bihain},
31253  title		= {On a Bundle Algorithm for Nonsmooth Optimization},
31254  booktitle	= {Nonlinear Programming},
31255  year		= {1981},
31256  editor	= {O. L. Mangasarian and R. R. Meyer and S. M. Robinson},
31257  publisher	= {Academic Press},
31258  pages		= {245--282},
31259  volume	= {4}
31260}
31261
31262@Article{	  lemke.howson:equilibrium,
31263  author	= {C. E. Lemke and J. T. Howson},
31264  title		= {Equilibrium Points of Bimatrix Games},
31265  journal	= {SIAM Journal on Applied Mathematics},
31266  year		= {1964},
31267  volume	= {12},
31268  pages		= {413--423}
31269}
31270
31271@Article{	  lemke:bimatrix,
31272  author	= {C. E. Lemke},
31273  title		= {Bimatrix Equilibrium Points and Mathematical Programming},
31274  journal	= {Management Science},
31275  year		= {1965},
31276  volume	= {11},
31277  pages		= {681--689}
31278}
31279
31280@InCollection{	  lemke:complementary,
31281  author	= {C. E. Lemke},
31282  title		= {On Complementary Pivot Theory},
31283  booktitle	= {Mathematics of the Decision Sciences: Part 1},
31284  publisher	= {American Mathematical Society},
31285  year		= {1968},
31286  editor	= {G. B. Dantzig and A. F. Veinott},
31287  volume	= {11},
31288  series	= {Lectures in Applied Mathematics},
31289  address	= {Providence},
31290  pages		= {95--114}
31291}
31292
31293@Article{	  levenberg:method,
31294  author	= {K. Levenberg},
31295  title		= {A Method for the Solution of Certain Nonlinear Problems in Least Squares},
31296  journal	= {Quarterly Applied Mathematics},
31297  year		= {1944},
31298  volume	= {2},
31299  pages		= {164--168}
31300}
31301
31302@Article{	  levitin.polyak:constrained,
31303  author	= {E. S. Levitin and B. T. Polyak},
31304  title		= {Constrained minimization methods},
31305  journal	= {Computational Mathematics and Mathematical Physics},
31306  year		= {1968},
31307  volume	= {6},
31308  pages		= {1--50},
31309  note		= {Translated from Russian}
31310}
31311
31312@Article{	  li.swetis:linear,
31313  author	= {W. Li and J. J. Swetits},
31314  title		= {The Linear $\ell_1$ Estimator and the {H}uber {M}-Estimator},
31315  journal	= {SIAM Journal on Optimization},
31316  volume	= {8},
31317  pages		= {457-475},
31318  year		= {1998}
31319}
31320
31321@TechReport{	  li:error,
31322  author	= {W. Li},
31323  title		= {Error Bounds for Piecewise Convex Quadratic Programs and Applications},
31324  institution	= {Department of Mathematics and Statistics, Old Dominion University},
31325  year		= {1993},
31326  address	= {Norfolk, VA 23529},
31327  number	= {TR93-1},
31328  note		= {SIAM Journal on Control and Optimization, to appear}
31329}
31330
31331@TechReport{	  li:linearly,
31332  author	= {W. Li},
31333  title		= {Linearly Convergent Descent Methods for Unconstrained Minimization of Convex
31334		  Quadratic Splines},
31335  institution	= {Department of Mathematics and Statistics, Old Dominion University},
31336  year		= {1993},
31337  address	= {Norfolk, VA 23529},
31338  number	= {TR93-3},
31339  note		= {Journal of Optimization Theory and Applications, to appear}
31340}
31341
31342@InProceedings{	  li:merit,
31343  author	= {W. Li},
31344  title		= {A Merit Function and a {N}ewton-Type Method for Symmetric Linear Complementarity
31345		  Problems},
31346  crossref	= {ferris.pang:complementarity}
31347}
31348
31349@Article{	  li:remarks,
31350  author	= {W. Li},
31351  title		= {Remarks on Convergence of Matrix Splitting Algorithm for the Symmetric Linear
31352		  Complementarity Problem},
31353  journal	= {SIAM Journal on Optimization},
31354  year		= {1993},
31355  volume	= {3},
31356  pages		= {155--163}
31357}
31358
31359@TechReport{	  li:sharp,
31360  author	= {W. Li},
31361  title		= {Sharp {L}ipschitz Constants for Basic Optimal Solutions of Linear Programs},
31362  institution	= {Department of Mathematics and Statistics, Old Dominion University},
31363  year		= {1991},
31364  address	= {Norfolk, VA 23529},
31365  number	= {TR91-13},
31366  note		= {SIAM Journal on Control and Optimization, to appear}
31367}
31368
31369@Article{	  lin.kernighan:efficient,
31370  author	= {S. Lin and B. W. Kernighan},
31371  title		= {An Efficient Heuristic Algorithm for the Traveling Salesman Problem},
31372  journal	= {Operations Research},
31373  year		= {1973},
31374  volume	= {21},
31375  pages		= {498--516}
31376}
31377
31378@Article{	  lin.pang:iterative,
31379  author	= {Y. Y. Lin and J. S. Pang},
31380  title		= {Iterative Methods for Large Convex Quadratic Programs: {A} Survey},
31381  journal	= {SIAM Journal on Control and Optimization},
31382  year		= {1987},
31383  volume	= {25},
31384  pages		= {383--411}
31385}
31386
31387@Unpublished{	  linderoth:branch,
31388  author	= {J. Linderoth},
31389  title		= {A {B}ranch-and-{P}rice Approach to Stochastic Integer Programming},
31390  institution	= {Argonne National Laboratories},
31391  year		= {2000},
31392  note		= {Working Paper}
31393}
31394
31395@Article{	  lions.stampacchia:variational,
31396  author	= {J. L. Lions and G. Stampacchia},
31397  title		= {Variational Inequalities},
31398  journal	= {Communications on Pure and Applied Math},
31399  year		= {1967},
31400  volume	= {20},
31401  pages		= {493--19}
31402}
31403
31404@Article{	  lions.mercier:splitting,
31405  author	= {P.--L. Lions and B. Mercier},
31406  title		= {Splitting Methods for the Sum of Two Nonlinear Operators},
31407  journal	= {SIAM Journal on Numerical Analysis},
31408  year		= {1979},
31409  volume	= {16},
31410  pages		= {964--979}
31411}
31412
31413@Article{	  lions:methode,
31414  author	= {P.--L. Lions},
31415  title		= {Une {M}\'{e}thode it\'{e}rative de resolution d'une inequation variationnelle},
31416  journal	= {Israel Journal of Mathematics},
31417  year		= {1978},
31418  volume	= {31},
31419  number	= {2},
31420  pages		= {204--208}
31421}
31422
31423@InProceedings{	  litzkow.livny.ea:condor,
31424  author	= {M. J. Litzkow and M. Livny and M. W. Mutka},
31425  title		= {Condor: {A} Hunter of Idle Workstations},
31426  booktitle	= {Proceedings of the 8th International Conference on Distributed Computing
31427		  Systems},
31428  year		= {1988},
31429  pages		= {104--111},
31430  month		= jun
31431}
31432
31433@Article{	  liu.nocedal:limited,
31434  author	= {D. C. Liu and J. Nocedal},
31435  title		= {On the Limited Memory Method for Large Scale Optimization},
31436  journal	= {Mathematical Programming},
31437  year		= {1989},
31438  volume	= {45},
31439  pages		= {503--528}
31440}
31441
31442@InBook{	  livny.raman:high,
31443  author	= {M. Livny and R. Raman},
31444  title		= {The Grid: Blueprint for a Future Computing Infrastructure},
31445  chapter	= {High Throughput Resource Management},
31446  publisher	= {Morgan Kaufmann Publishers},
31447  year		= {1999},
31448  pages		= {311--337}
31449}
31450
31451@Article{	  llacer:inverse,
31452  author	= {J. Llacer},
31453  title		= {Inverse Radiation Treatment Planning using the Dynamically Penalized Likelihood
31454		  Method},
31455  journal	= {Medical Physics},
31456  year		= {1997},
31457  volume	= {24},
31458  number	= {11},
31459  pages		= {1751--1764}
31460}
31461
31462@Book{		  lojasiewicz:ensembles,
31463  author	= {M. S. Lojasiewicz},
31464  title		= {Ensembles semi-analytiques},
31465  publisher	= {Institut des Hautes Etudes Scientifiques},
31466  year		= {1964},
31467  address	= {Bures-sur-Yvette}
31468}
31469
31470@Article{	  lootsma:logarithmic,
31471  author	= {F. A. Lootsma},
31472  title		= {Logarithmic Programming: {A} Method of Solving Nonlinear Programming Problems},
31473  journal	= {Phillips Research Reports},
31474  year		= {1967},
31475  volume	= {22},
31476  pages		= {329--344}
31477}
31478
31479@InCollection{	  lootsma:survey,
31480  author	= {F. A. Lootsma},
31481  title		= {A Survey of Methods for Solving Constrained Minimization Problems via
31482		  Unconstrained Minimization},
31483  booktitle	= {Numerical Methods for Nonlinear Optimization},
31484  year		= {1972},
31485  editor	= {F. A. Lootsma},
31486  publisher	= {Academic Press},
31487  address	= {London}
31488}
31489
31490@TechReport{	  lopezdesilanes.markusen.ea:anti-competitive,
31491  author	= {F. {Lopez-de-Silanes} and J. R. Markusen and T. F. Rutherford},
31492  title		= {Anti--Competitive and Rent--Shifting Aspects of Domestic--Content Provisions in
31493		  Regional Trade Blocks},
31494  institution	= {National Bureau of Economic Research, Inc.},
31495  year		= {1993},
31496  number	= {4512},
31497  address	= {Cambridge, Massechusetts}
31498}
31499
31500@InCollection{	  lopezdesilanes.markusen.ea:auto,
31501  author	= {F. {Lopez-de-Silanes} and J. R. Markusen and T. F. Rutherford},
31502  title		= {The auto industry and the {N}orth {A}merican free-trade agreement},
31503  year		= {1994},
31504  booktitle	= {Modelling Trade Policy: AGE Assessments of North American Free Trade},
31505  publisher	= {Cambridge University Press},
31506  editor	= {C. Shields and J. Francois}
31507}
31508
31509@Article{	  lopezdesilanes.markusen.ea:complementarity,
31510  author	= {F. {Lopez-de-Silanes} and J. R. Markusen and T. F. Rutherford},
31511  title		= {Complementarity and Increasing Returns in Intermediate Inputs},
31512  journal	= {Journal of Development Economics},
31513  year		= {1994},
31514  volume	= {45},
31515  pages		= {133--151}
31516}
31517
31518@Article{	  lopezdesilanes.markusen.ea:trade,
31519  author	= {F. {Lopez-de-Silanes} and J. R. Markusen and T. F. Rutherford},
31520  title		= {Trade Policy Subtleties with Multinational Firms},
31521  journal	= {European Economic Review},
31522  year		= {1996}
31523}
31524
31525@Article{	  lotstedt:coulomb,
31526  author	= {P. L{\"{o}}tstedt},
31527  title		= {Coulomb friction in two-dimensional rigid body systems},
31528  journal	= {Zeitschrift f{\"{u}}r Angewandte Mathematik und Mechanik},
31529  volume	= {61},
31530  year		= {1981},
31531  pages		= {605--615}
31532}
31533
31534@Article{	  lotstedt:mechanical,
31535  author	= {P. L{\"{o}}tstedt},
31536  title		= {Mechanical systems of rigid bodies subject to unilateral constraints},
31537  journal	= {SIAM Journal on Applied Mathematics},
31538  volume	= {42},
31539  year		= {1982},
31540  pages		= {281--296}
31541}
31542
31543@Book{		  luenberger:linear,
31544  author	= {D. G. Luenberger},
31545  title		= {Linear and Nonlinear Programming},
31546  year		= {1984},
31547  publisher	= {Addison-Wesley},
31548  edition	= {Second}
31549}
31550
31551@Book{		  luenberger:optimization,
31552  author	= {D. G. Luenberger},
31553  title		= {Optimization by Vector Space Methods},
31554  year		= {1969},
31555  publisher	= {John Wiley \& Sons},
31556  address	= {New York}
31557}
31558
31559@Article{	  lundy.mees:convergence,
31560  author	= {M. Lundy and A. Mees},
31561  title		= {Convergence of an Annealing Algorithm},
31562  journal	= {Mathematical Programming},
31563  year		= {1986},
31564  volume	= {34},
31565  pages		= {111--124}
31566}
31567
31568@Article{	  luo.luo:extension,
31569  author	= {X.-D. Luo and Z.-Q. Luo},
31570  title		= {Extension of Hoffman's Error Bound to Polynomial Systems},
31571  journal	= {SIAM Journal on Optimization},
31572  year		= {1994},
31573  volume	= {4},
31574  pages		= {383--392}
31575}
31576
31577@Article{	  luo.mangasarian.ea:error,
31578  author	= {Z.-Q. Luo and O. L. Mangasarian and J. Ren and M. V. Solodov},
31579  title		= {New Error Bounds for the Linear Complementarity Problem},
31580  journal	= {Mathematics of Operations Research},
31581  year		= {1994},
31582  pages		= {880--892},
31583  volume	= {19}
31584}
31585
31586@Article{	  luo.pang.ea:exact,
31587  author	= {Z.-Q. Luo and J. S. Pang and D. Ralph and S.-Q. Wu},
31588  title		= {Exact Penalization and Stationarity Conditions of Mathematical Programs with
31589		  Equilibrium Constraints},
31590  journal	= {Mathematical Programming},
31591  volume	= {75},
31592  pages		= {19--76},
31593  year		= {1996}
31594}
31595
31596@Book{		  luo.pang.ea:mathematical,
31597  author	= {Z.-Q. Luo and J. S. Pang and D. Ralph},
31598  title		= {Mathematical Programs with Equilibrium Constraints},
31599  publisher	= {Cambridge University Press},
31600  year		= {1996}
31601}
31602
31603@Article{	  luo.pang:error,
31604  author	= {Z.-Q. Luo and J. S. Pang},
31605  title		= {Error Bounds for Analytic Systems and their Applications},
31606  journal	= {Mathematical Programming},
31607  year		= {1994},
31608  volume	= {67},
31609  pages		= {1--28}
31610}
31611
31612@Article{	  luo.shu.ea:optimizing,
31613  author	= {L. Luo and H. Shu and W. Yu and Y. Yan and X. Bao and Y. Fu},
31614  title		= {Optimizing computerized treatment planning for the Gamma Knife by source
31615		  culling},
31616  journal	= {International Journal of Radiation Oncology, Biology and Physics},
31617  year		= {1999},
31618  volume	= {45},
31619  number	= {5},
31620  pages		= {1339--1346}
31621}
31622
31623@InProceedings{	  luo.tseng:class,
31624  author	= {Z.-Q. Luo and P. Tseng},
31625  title		= {A New Class of Merit Functions for the Nonlinear Complementarity Problem},
31626  crossref	= {ferris.pang:complementarity},
31627  pages		= {204--225}
31628}
31629
31630@Article{	  luo.tseng:convergence,
31631  author	= {Z.-Q. Luo and P. Tseng},
31632  title		= {On the Convergence of the Coordinate Descent Method for Convex Differentiable
31633		  Minimization},
31634  journal	= {Journal of Optimization Theory and Applications},
31635  year		= {1992},
31636  volume	= {72},
31637  pages		= {7--35}
31638}
31639
31640@Article{	  luo.tseng:convergence*1,
31641  author	= {Z.-Q. Luo and P. Tseng},
31642  title		= {On the Convergence of a Matrix Splitting Algorithm for the Symmetric Monotone
31643		  Linear Complementarity Problem},
31644  journal	= {SIAM Journal on Control and Optimization},
31645  year		= {1991},
31646  volume	= {29},
31647  pages		= {1037--1060}
31648}
31649
31650@Article{	  luo.tseng:convergence*2,
31651  author	= {Z.-Q. Luo and P. Tseng},
31652  title		= {On the Convergence Rate of Dual Ascent Methods for Strictly Convex Minimization},
31653  journal	= {Mathematics of Operations Research},
31654  year		= {1993},
31655  volume	= {18},
31656  pages		= {846--867}
31657}
31658
31659@Article{	  luo.tseng:error,
31660  author	= {Z.--Q. Luo and P. Tseng},
31661  title		= {Error Bound and Convergence Analysis of Matrix Splitting Algorithms for the
31662		  Affine Variational Inequality Problem},
31663  journal	= {SIAM Journal on Optimization},
31664  year		= {1992},
31665  volume	= {2},
31666  pages		= {43--54}
31667}
31668
31669@Article{	  luo.tseng:error*1,
31670  author	= {Z.-Q. Luo and P. Tseng},
31671  title		= {Error Bound and Reduced Gradient Projection Algorithms for Convex Minimization
31672		  Over a Polyhedral Set},
31673  journal	= {SIAM Journal on Optimization},
31674  year		= {1993},
31675  volume	= {3},
31676  pages		= {43--59}
31677}
31678
31679@Article{	  luo.tseng:error*2,
31680  author	= {Z.-Q. Luo and P. Tseng},
31681  title		= {Error Bounds and Convergence Analysis of Feasible Descent Methods: {A} General
31682		  Approach},
31683  journal	= {Annals of Operations Research},
31684  year		= {1993},
31685  volume	= {46},
31686  pages		= {157--178}
31687}
31688
31689@Article{	  luo.tseng:global,
31690  author	= {Z.-Q. Luo and P. Tseng},
31691  title		= {On Global Error Bound for a Class of Monotone Affine Variational Inequality
31692		  Problems},
31693  journal	= {Operations Research Letters},
31694  year		= {1992},
31695  volume	= {11},
31696  pages		= {159--165}
31697}
31698
31699@Article{	  luo.tseng:linear,
31700  author	= {Z.-Q. Luo and P. Tseng},
31701  title		= {On the linear convergence of descent methods for convex essentially smooth
31702		  minimization},
31703  journal	= {SIAM Journal on Control and Optimization},
31704  year		= {1992},
31705  volume	= {30},
31706  pages		= {408--425}
31707}
31708
31709@TechReport{	  luo:convergence,
31710  author	= {Z.-Q. Luo},
31711  title		= {Convergence Analysis of Primal--Dual Interior--Point Algorithms for Convex
31712		  Quadratic Programs},
31713  institution	= {Communications Research Laboratory, McMaster University},
31714  year		= {1992},
31715  address	= {Hamilton, Ontario}
31716}
31717
31718@Article{	  lustig.marsten.ea:computational,
31719  author	= {I. J. Lustig and R. E. Marsten and D. F. Shanno},
31720  title		= {Computational Experience with a Primal-Dual Interior Point Method for Linear
31721		  Programming},
31722  journal	= {Linear Algebra and Its Applications},
31723  year		= {1991},
31724  volume	= {152},
31725  pages		= {191--222}
31726}
31727
31728@Article{	  lustig.marsten.ea:implementing,
31729  author	= {I. J. Lustig and R. E. Marsten and D. F. Shanno},
31730  title		= {On implementing {M}ehrotra's predictor-corrector interior point method for linear
31731		  programming},
31732  journal	= {SIAM Journal on Optimization},
31733  year		= {1992},
31734  volume	= {2},
31735  pages		= {435--449}
31736}
31737
31738@Article{	  lustig.marsten.ea:interior-point,
31739  author	= {I. J. Lustig and R. E. Marsten and D. F. Shanno},
31740  title		= {Interior-Point Methods for Linear Programming: Computational State of the Art},
31741  journal	= {ORSA Journal on Computing},
31742  year		= {1994},
31743  volume	= {6},
31744  number	= {1},
31745  pages		= {1--38}
31746}
31747
31748@Article{	  lyman.wolbarst:optimization,
31749  author	= {J. T. Lyman and A. B. Wolbarst},
31750  title		= {Optimization of Radiation Therapy {IV}: {A} Dose Volume Histogram Reduction
31751		  Algorithm},
31752  journal	= {International Journal of Radiation Oncology, Biology and Physics},
31753  year		= {1989},
31754  volume	= {17},
31755  pages		= {433--436}
31756}
31757
31758@Article{	  mackie.holmes.ea:tomotherapy*1,
31759  author	= {T. R. Mackie and T. Holmes and S. Swerdloff and P. Reckwerdt and J. O. Deasy and
31760		  J. Yang and B. Paliwal and T. Kinsella},
31761  title		= {Tomotherapy: a new concept for the delivery of dynamic conformal radiotherapy},
31762  journal	= {Medical Physics},
31763  year		= {1993},
31764  volume	= {20},
31765  number	= {6},
31766  pages		= {1709--1719}
31767}
31768
31769@Article{	  mackie.holmes.ea:tomotherapy*2,
31770  author	= {T. R. Mackie and T. W. Holmes and P. J. Reckwerdt and J. Yang},
31771  title		= {Tomotherapy: Optimized Planning and Delivery of Radiation Therapy},
31772  journal	= {Int. J. of Imaging Systems and Technology},
31773  year		= {1995},
31774  volume	= {6},
31775  pages		= {43--55}
31776}
31777
31778@Article{	  mackie.scrimger.ea:convolution,
31779  author	= {T. R. Mackie and J. W. Scrimger and J. J. Batista},
31780  title		= {A convolution method of calculating dose from 15 Me{V} x-rays},
31781  journal	= {Medical Physics},
31782  year		= {1985},
31783  volume	= {12},
31784  pages		= {188--196}
31785}
31786
31787@Article{	  mackinnon:technique,
31788  author	= {James G. Mac{K}innon},
31789  title		= {A Technique for the Solution of Spatial Equilibrium Models},
31790  journal	= {Journal of Regional Science},
31791  year		= {1976},
31792  volume	= {16},
31793  pages		= {293--307}
31794}
31795
31796@PhDThesis{	  madsen:minimization,
31797  author	= {K. Madsen},
31798  title		= {Minimization of Nonlinear Approximation Functions},
31799  year		= {1985},
31800  address	= {Lyngby, Denmark},
31801  school	= {Institute of Numerical Analysis, Technical University of Denmark},
31802  annote	= {Dissertation}
31803}
31804
31805@Book{		  magill.quinzii:theory,
31806  author	= {M. Magill and M. Quinzii},
31807  title		= {Theory of Incomplete Markets},
31808  publisher	= {MIT Press},
31809  year		= {1996}
31810}
31811
31812@InCollection{	  magnanti:models,
31813  author	= {T. L. Magnanti},
31814  title		= {Models and Algorithms for Predicting Urban Traffic Equilibria},
31815  booktitle	= {Transportation Planning Models},
31816  year		= {1984},
31817  editor	= {M. Florian},
31818  publisher	= {North Holland},
31819  pages		= {153--186}
31820}
31821
31822@InCollection{	  maguregui:modified,
31823  author	= {J. Maguregui},
31824  title		= {A modified {N}ewton algorithm for functions over convex sets},
31825  crossref	= {mangasarian.meyer.ea:nonlinear*3},
31826  pages		= {461--473}
31827}
31828
31829@PhDThesis{	  maguregui:regular,
31830  author	= {J. Maguregui},
31831  title		= {Regular Multivalued Functions and Algorithmic Applications},
31832  year		= {1977},
31833  address	= {Madison, Wisconsin},
31834  school	= {Computer Sciences Department, University of Wisconsin}
31835}
31836
31837@Article{	  mahey.oualibouch.ea:proximal,
31838  author	= {P. Mahey and S. Oualibouch and D. T. Pham},
31839  title		= {Proximal Decomposition on the Graph of a Maximal Monotone Operator},
31840  journal	= {SIAM Journal on Optimization},
31841  year		= {1995},
31842  volume	= {5},
31843  pages		= {454--466}
31844}
31845
31846@Article{	  mahey.pham:partial,
31847  author	= {P. Mahey and D. T. Pham},
31848  title		= {Partial Regularization of the Sum of Two Maximal Monotone Operators},
31849  journal	= {{RAIRO} Mod\'{e}lisation et Analyse Num\'{e}rique},
31850  year		= {1993},
31851  volume	= {27},
31852  pages		= {375--392}
31853}
31854
31855@InCollection{	  maier.novati:shakedown,
31856  author	= {G. Maier and G. Novati},
31857  title		= {A shakedown and bounding theory allowing for nonlinear hardening and second order
31858		  geometric effects with reference to discrete structural models},
31859  editors	= {J. A. K{\"{o}}nig and M. Kleiber},
31860  booktitle	= {Inelastic Solids and Structures, A. Sawczuk memorial volume},
31861  publisher	= {Pineridge Press},
31862  address	= {Swansea},
31863  year		= {1990},
31864  pages		= {451--471}
31865}
31866
31867@Article{	  maier:incremental,
31868  author	= {G. Maier},
31869  title		= {Incremental Plastic Analysis in the Presence of Large Displacement and Physical
31870		  Instabilizing Effects},
31871  journal	= {International Journal of Solids and Structures},
31872  volume	= {7},
31873  year		= {1971},
31874  pages		= {345--372}
31875}
31876
31877@InCollection{	  maier:inverse,
31878  author	= {G. Maier},
31879  title		= {Inverse Problems in Engineering Plasticity: {A} Quadratic Programming Approach},
31880  booktitle	= {Serie VIII},
31881  publisher	= {Academia Nazionale dei Lincei},
31882  year		= {1981},
31883  volume	= {LXX},
31884  pages		= {203--209}
31885}
31886
31887@Article{	  maier:matrix,
31888  author	= {G. Maier},
31889  title		= {A matrix structural theory of piecewise linear elastoplasticity with interacting
31890		  yield planes},
31891  journal	= {Meccanica},
31892  volume	= {5},
31893  year		= {1970},
31894  pages		= {54--66}
31895}
31896
31897@Article{	  maier:quadratic,
31898  author	= {G. Maier},
31899  title		= {A quadratic programming approach for certain classes of nonlinear structural
31900		  problems},
31901  journal	= {Meccanica},
31902  volume	= {3},
31903  year		= {1968},
31904  pages		= {121--130}
31905}
31906
31907@Book{		  manber:introduction,
31908  author	= {U. Manber},
31909  title		= {Introduction to Algorithms: {A} Creative Approach},
31910  year		= {1989},
31911  publisher	= {Addison-Wesley}
31912}
31913
31914@Article{	  mangasarian.deleone:error,
31915  author	= {O. L. Mangasarian and R. {De~Leone}},
31916  title		= {Error Bounds for Strongly Convex Programs and (Super)linearly Convergent
31917		  Iterative Schemes for the Least 2--norm Solution of Linear Programs},
31918  journal	= {Applied Mathematics and Optimization},
31919  year		= {1988},
31920  volume	= {17},
31921  pages		= {1--14}
31922}
31923
31924@Article{	  mangasarian.deleone:parallel,
31925  author	= {O. L. Mangasarian and R. {De~Leone}},
31926  title		= {Parallel Successive Overrelaxation Methods for Symmetric Linear Complementarity
31927		  Problems and Linear Programs},
31928  journal	= {Journal of Optimization Theory and Applications},
31929  year		= {1987},
31930  volume	= {54},
31931  pages		= {437--446}
31932}
31933
31934@Article{	  mangasarian.fromovitz:fritz,
31935  author	= {O. L. Mangasarian and S. Fromovitz},
31936  title		= {The {F}ritz {J}ohn necessary optimality conditions in the presence of equality
31937		  and inequality constraints},
31938  journal	= {Journal of Mathematical Analysis and its Applications},
31939  year		= {1967},
31940  volume	= {17},
31941  pages		= {37--47}
31942}
31943
31944@Article{	  mangasarian.mclinden:simple,
31945  author	= {O. L. Mangasarian and L. McLinden},
31946  title		= {Simple Bounds for Solutions of Monotone Complementarity Problems and Convex
31947		  Programs},
31948  journal	= {Mathematical Programming},
31949  year		= {1985},
31950  volume	= {32},
31951  pages		= {32--40}
31952}
31953
31954@Article{	  mangasarian.meyer:nonlinear,
31955  author	= {O. L. Mangasarian and R. R. Meyer},
31956  title		= {Nonlinear Perturbation of Linear Programs},
31957  journal	= {SIAM Journal on Control and Optimization},
31958  year		= {1979},
31959  volume	= {17},
31960  pages		= {745--752}
31961}
31962
31963@TechReport{	  mangasarian.musicant:active,
31964  author	= {O. L. Mangasarian and David R. Musicant},
31965  title		= {Active Set Support Vector Machine Classification},
31966  institution	= {Data Mining Institute, Computer Sciences Department, University of Wisconsin},
31967  year		= {2000},
31968  number	= {00-04},
31969  address	= {Madison, Wisconsin}
31970}
31971
31972@TechReport{	  mangasarian.musicant:lagrangian,
31973  author	= {O. L. Mangasarian and D. R. Musicant},
31974  title		= {Lagrangian Support Vector Machines},
31975  institution	= {Data Mining Institute, Computer Sciences Department, University of Wisconsin},
31976  year		= {2000},
31977  number	= {00-06},
31978  address	= {Madison, Wisconsin}
31979}
31980
31981@TechReport{	  mangasarian.musicant:robust,
31982  author	= {O. L. Mangasarian and David R. Musicant},
31983  title		= {Robust Linear and Support Vector Regression},
31984  institution	= {Data Mining Institute, Computer Sciences Department, University of Wisconsin},
31985  year		= {1999},
31986  number	= {99-09},
31987  address	= {Madison, Wisconsin}
31988}
31989
31990@Article{	  mangasarian.musicant:successive,
31991  author	= {O. L. Mangasarian and David R. Musicant},
31992  title		= {Successive Overrelaxation for Support Vector Machines},
31993  journal	= {IEEE Transactions on Neural Networks},
31994  volume	= {10},
31995  year		= {1999},
31996  pages		= {1032-1037}
31997}
31998
31999@Article{	  mangasarian.pang:exact,
32000  author	= {O. L. Mangasarian and J. S. Pang},
32001  title		= {Exact Penalty Functions for Mathematical Programs with Linear Complementarity
32002		  Constraints},
32003  journal	= {Optimization},
32004  year		= {1997},
32005  volume	= {42},
32006  pages		= {1--8}
32007}
32008
32009@Article{	  mangasarian.pang:extended,
32010  author	= {O. L. Mangasarian and J. S. Pang},
32011  title		= {The Extended Linear Complementarity Problem},
32012  journal	= {SIAM Journal on Matrix Analysis and Applications},
32013  year		= {1994},
32014  volume	= {16}
32015}
32016
32017@Article{	  mangasarian.ren:error,
32018  author	= {O. L. Mangasarian and J. Ren},
32019  title		= {New error bounds for the nonlinear complementarity problem},
32020  year		= {1994},
32021  volume	= {1},
32022  pages		= {49--56},
32023  journal	= {Communications on Applied Nonlinear Analysis}
32024}
32025
32026@Article{	  mangasarian.ren:improved,
32027  author	= {O. L. Mangasarian and J. Ren},
32028  title		= {New Improved Error Bounds for the Linear Complementarity Problem},
32029  year		= {1994},
32030  volume	= {66},
32031  journal	= {Mathematical Programming},
32032  pages		= {241--255}
32033}
32034
32035@InProceedings{	  mangasarian.setiono.ea:pattern,
32036  crossref	= {coleman.li:large-scale},
32037  author	= {O. L. Mangasarian and R. Setiono and W. H. Wolberg},
32038  title		= {Pattern Recognition via Linear Programming: Theory and Application to Medical
32039		  Diagnosis},
32040  pages		= {22--31}
32041}
32042
32043@Article{	  mangasarian.shiau:error,
32044  author	= {O. L. Mangasarian and T.--H. Shiau},
32045  title		= {Error Bounds for Monotone Linear Complementarity Problems},
32046  journal	= {Mathematical Programming},
32047  year		= {1986},
32048  volume	= {36},
32049  pages		= {81--89}
32050}
32051
32052@Article{	  mangasarian.shiau:lipschitz,
32053  author	= {O. L. Mangasarian and T.--H. Shiau},
32054  title		= {{L}ipschitz Continuity of Solutions of Linear Inequalities, Programs and
32055		  Complementarity Problems},
32056  journal	= {SIAM Journal on Control and Optimization},
32057  year		= {1987},
32058  volume	= {25},
32059  pages		= {583--595}
32060}
32061
32062@Article{	  mangasarian.solodov:nonlinear,
32063  author	= {O. L. Mangasarian and M. V. Solodov},
32064  title		= {Nonlinear Complementarity as Unconstrained and Constrained Minimization},
32065  journal	= {Mathematical Programming},
32066  year		= {1993},
32067  volume	= {62},
32068  pages		= {277--298}
32069}
32070
32071@Article{	  mangasarian.solodov:serial,
32072  author	= {O. L. Mangasarian and M. V. Solodov},
32073  title		= {Serial and Parallel Backpropagation Convergence via Nonmonotone Perturbed
32074		  Minimization},
32075  year		= {1994},
32076  journal	= {Optimization Methods and Software},
32077  volume	= {4},
32078  pages		= {103--116}
32079}
32080
32081@Article{	  mangasarian.street.ea:breast,
32082  author	= {O. L. Mangasarian and W. N. Street and W. H. Wolberg},
32083  title		= {Breast Cancer Diagnosis and Prognosis via Linear Programming},
32084  journal	= {Operations Research},
32085  year		= {1995},
32086  volume	= {43},
32087  pages		= {570--577}
32088}
32089
32090@Article{	  mangasarian.wolberg:cancer,
32091  author	= {O. L. Mangasarian and W. H. Wolberg},
32092  title		= {Cancer Diagnosis via Linear Programming},
32093  journal	= {SIAM News},
32094  year		= {1990},
32095  volume	= {23},
32096  pages		= {1 \& 18}
32097}
32098
32099@InCollection{	  mangasarian:applications,
32100  author	= {O. L. Mangasarian},
32101  title		= {Some Applications of Penalty Functions in Mathematical Programming},
32102  booktitle	= {Optimization and Related Fields},
32103  year		= {1986},
32104  editor	= {R. Conti and E. De~Giorgi and F. Giannessi},
32105  publisher	= {Springer-Verlag},
32106  address	= {Heidelberg},
32107  pages		= {307--329},
32108  note		= {Lecture Notes in Mathematics 1190}
32109}
32110
32111@Article{	  mangasarian:characterization,
32112  author	= {O. L. Mangasarian},
32113  title		= {Characterization of linear complementarity problems as linear programs},
32114  journal	= {Mathematical Programming Study},
32115  year		= {1978},
32116  volume	= {7},
32117  pages		= {74--87}
32118}
32119
32120@InProceedings{	  mangasarian:condition,
32121  author	= {O. L. Mangasarian},
32122  title		= {A condition number for linear inequalities and linear programs},
32123  booktitle	= {Proceedings of 6. Symposium uber Operations Research, Augsburg, 7-9 September
32124		  1981},
32125  year		= {1981},
32126  editor	= {G. Bamberg and O. Opitz},
32127  publisher	= {Verlagsgruppe Athenaum/Hain/Scriptor/Hanstein},
32128  address	= {Konigstein},
32129  pages		= {3--15}
32130}
32131
32132@Article{	  mangasarian:convergence,
32133  author	= {O. L. Mangasarian},
32134  title		= {On the Convergence of Iterates of an Inexact Matrix Splitting Algorithm for the
32135		  Symmetric Monotone Linear Complementarity Problem},
32136  journal	= {SIAM Journal on Optimization},
32137  volume	= {1},
32138  pages		= {114--122},
32139  year		= {1991}
32140}
32141
32142@Article{	  mangasarian:equivalence,
32143  author	= {O. L. Mangasarian},
32144  title		= {Equivalence of the Complementarity Problem to a System of Nonlinear Equations},
32145  journal	= {SIAM Journal on Applied Mathematics},
32146  year		= {1976},
32147  volume	= {31},
32148  pages		= {89--92}
32149}
32150
32151@Article{	  mangasarian:error,
32152  author	= {O. L. Mangasarian},
32153  title		= {Error Bounds for Inconsistent Linear Inequalities and Programs},
32154  journal	= {ORSA Journal on Computing},
32155  volume	= {15},
32156  pages		= {187--192},
32157  year		= {1994}
32158}
32159
32160@Article{	  mangasarian:error*1,
32161  author	= {O. L. Mangasarian},
32162  title		= {Error Bounds for Nondegenerate Monotone Linear Complementarity Problems},
32163  journal	= {Mathematical Programming},
32164  year		= {1990},
32165  volume	= {48},
32166  pages		= {437--445}
32167}
32168
32169@Article{	  mangasarian:generalized,
32170  author	= {O. L. Mangasarian},
32171  title		= {Generalized Linear Complementarity Problems as Linear Programs},
32172  journal	= {Methods of Operations Research},
32173  year		= {1979},
32174  editor	= {W. Oettli and F. Steffens},
32175  volume	= {31},
32176  pages		= {393--402}
32177}
32178
32179@InCollection{	  mangasarian:generalized*1,
32180  author	= {O. L. Mangasarian},
32181  title		= {Generalized Support Vector Machines},
32182  year		= {2000},
32183  pages		= {135-146},
32184  booktitle	= {Advances in Large Margin Classifiers},
32185  editor	= {A. Smola and P.~Bartlett and B.~Sch{\"o}lkopf and D.~Schuurmans},
32186  publisher	= {MIT Press},
32187  address	= {Cambridge, MA}
32188}
32189
32190@Article{	  mangasarian:global,
32191  author	= {O. L. Mangasarian},
32192  title		= {Global error bounds for monotone affine variational inequality problems},
32193  journal	= {Linear Algebra and Its Applications},
32194  year		= {1992},
32195  pages		= {153--164}
32196}
32197
32198@InCollection{	  mangasarian:least,
32199  author	= {O. L. Mangasarian},
32200  title		= {Least Norm Solution of Non--Monotone Complementarity Problems},
32201  booktitle	= {Functional Analysis, Optimization and Mathematical Economics},
32202  year		= {1990},
32203  publisher	= {Oxford University Press},
32204  address	= {New York},
32205  pages		= {217--221}
32206}
32207
32208@Article{	  mangasarian:least-norm,
32209  author	= {O. L. Mangasarian},
32210  title		= {Least--Norm Linear Programming Solution as an Unconstrained Minimization
32211		  Problem},
32212  journal	= {Journal of Mathematical Analysis and Applications},
32213  year		= {1983},
32214  volume	= {92},
32215  pages		= {240--251}
32216}
32217
32218@Article{	  mangasarian:linear,
32219  author	= {O. L. Mangasarian},
32220  title		= {Linear Complementarity Problems Solvable by a Single Linear Program},
32221  journal	= {Mathematical Programming},
32222  year		= {1976},
32223  volume	= {10},
32224  pages		= {263--270}
32225}
32226
32227@Article{	  mangasarian:linear*1,
32228  author	= {O. L. Mangasarian},
32229  title		= {Linear and Nonlinear Separation of Patterns by Linear Programming},
32230  journal	= {Operations Research},
32231  year		= {1965},
32232  volume	= {13},
32233  pages		= {444--452}
32234}
32235
32236@Article{	  mangasarian:locally,
32237  author	= {O. L. Mangasarian},
32238  title		= {Locally Unique Solutions of Quadratic Programs, Linear and Nonlinear
32239		  Complementarity Problems},
32240  journal	= {Mathematical Programming},
32241  year		= {1980},
32242  volume	= {19},
32243  pages		= {200--212}
32244}
32245
32246@InCollection{	  mangasarian:machine,
32247  author	= {O. L. Mangasarian},
32248  title		= {Machine Learning via Polyhedral Concave Minimization},
32249  editor	= {H. Fischer and B. Riedmueller and S. Schaeffler},
32250  booktitle	= {Applied Mathematics and Parallel Computing - Festschrift for Klaus Ritter},
32251  pages		= {175-188},
32252  year		= {1996},
32253  address	= {Heidelberg},
32254  publisher	= {Physica-Verlag A Springer-Verlag Company}
32255}
32256
32257@Article{	  mangasarian:mathematical,
32258  author	= {O. L. Mangasarian},
32259  title		= {Mathematical Programming in Neural Networks},
32260  journal	= {ORSA Journal on Computing},
32261  volume	= {5},
32262  pages		= {349--360},
32263  year		= {1993}
32264}
32265
32266@InProceedings{	  mangasarian:mathematical*1,
32267  author	= {O. L. Mangasarian},
32268  title		= {Mathematical Programming in Machine Learning},
32269  booktitle	= {Nonlinear Optimization and Applications},
32270  editor	= {G. Di Pillo and F. Giannessi},
32271  publisher	= {Plenum Publishing},
32272  address	= {New York},
32273  pages		= {283--295},
32274  year		= {1996}
32275}
32276
32277@Article{	  mangasarian:mathematical*2,
32278  author	= {O. L. Mangasarian},
32279  title		= {Mathematical Programming in Data Mining},
32280  journal	= {Data Mining and Knowledge Discovery},
32281  volume	= {1},
32282  year		= {1997},
32283  pages		= {183-201}
32284}
32285
32286@Article{	  mangasarian:multi-surface,
32287  author	= {O. L. Mangasarian},
32288  title		= {Multi-surface Method of Pattern Separation},
32289  journal	= {IEEE Transactions on Information Theory},
32290  year		= {1968},
32291  volume	= {IT-14},
32292  pages		= {801--807}
32293}
32294
32295@Book{		  mangasarian:nonlinear,
32296  author	= {O. L. Mangasarian},
32297  title		= {Nonlinear Programming},
32298  year		= {1969},
32299  publisher	= {McGraw--Hill},
32300  address	= {New York},
32301  note		= {SIAM Classics in Applied Mathematics 10, SIAM, Philadelphia, 1994}
32302}
32303
32304@Article{	  mangasarian:normal,
32305  author	= {O. L. Mangasarian},
32306  title		= {Normal Solutions of Linear Programs},
32307  journal	= {Mathematical Programming Study},
32308  year		= {1984},
32309  volume	= {22},
32310  pages		= {206--216}
32311}
32312
32313@Article{	  mangasarian:optimal,
32314  author	= {O. L. Mangasarian},
32315  title		= {Optimal Simplex Tableau Characterization of Unique and Bounded Solutions of
32316		  Linear Programs},
32317  journal	= {Journal of Optimization Theory and Applications},
32318  year		= {1981},
32319  volume	= {35},
32320  pages		= {123--128}
32321}
32322
32323@Article{	  mangasarian:parallel,
32324  author	= {O. L. Mangasarian},
32325  title		= {Parallel Gradient Distribution in Unconstrained Optimization},
32326  journal	= {SIAM Journal on Control and Optimization},
32327  volume	= {33},
32328  pages		= {1916--1925},
32329  year		= {1995}
32330}
32331
32332@TechReport{	  mangasarian:regularized,
32333  author	= {O. L. Mangasarian},
32334  title		= {Regularized Linear Programs with Equilibrium Constraints},
32335  institution	= {Computer Sciences Department, University of Wisconsin},
32336  year		= {1997},
32337  address	= {Madison, Wisconsin},
32338  type		= {Mathematical Programming Technical Report},
32339  number	= {97--13},
32340  url		= {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/97-13.ps}
32341}
32342
32343@Article{	  mangasarian:simple,
32344  author	= {O. L. Mangasarian},
32345  title		= {A Simple Characterization of Solution Sets of Convex Programs},
32346  journal	= {Operations Research Letters},
32347  year		= {1988},
32348  volume	= {7},
32349  pages		= {21--26}
32350}
32351
32352@Article{	  mangasarian:solution,
32353  author	= {O. L. Mangasarian},
32354  title		= {Solution of Symmetric Linear Complementarity Problems by Iterative Methods},
32355  journal	= {Journal of Optimization Theory and Applications},
32356  year		= {1977},
32357  month		= aug,
32358  volume	= {22},
32359  pages		= {465--485}
32360}
32361
32362@Article{	  mangasarian:stable,
32363  author	= {O. L. Mangasarian},
32364  title		= {A Stable Theorem of the Alternative: An Extension of the {G}ordan Theorem},
32365  journal	= {Linear Algebra and Its Applications},
32366  year		= {1981},
32367  volume	= {41},
32368  pages		= {209--223}
32369}
32370
32371@Article{	  mangasarian:sufficiency,
32372  author	= {O. L. Mangasarian},
32373  title		= {Sufficiency of Exact Penalty Minimization},
32374  journal	= {SIAM Journal on Control and Optimization},
32375  year		= {1985},
32376  month		= jan,
32377  volume	= {23},
32378  pages		= {30--37}
32379}
32380
32381@Article{	  mangasarian:unconstrained,
32382  author	= {O. L. Mangasarian},
32383  title		= {Unconstrained {L}agrangians in Nonlinear Programming},
32384  journal	= {SIAM Journal on Control and Optimization},
32385  year		= {1975},
32386  volume	= {13},
32387  pages		= {772--791}
32388}
32389
32390@Book{		  manne.richels:buying,
32391  author	= {A. S. Manne and R. G. Richels},
32392  title		= {Buying Greenhouse Insurance: The Economics of Carbon Dioxide Emission Limits},
32393  publisher	= {MIT Press},
32394  year		= {1992},
32395  address	= {Cambridge MA}
32396}
32397
32398@Article{	  manne.richels:global,
32399  author	= {A. S. Manne and R. G. Richels},
32400  title		= {Global {CO2} Emission Reductions - the Impacts of Rising Energy Costs},
32401  journal	= {The Energy Journal},
32402  year		= {1991},
32403  volume	= {12},
32404  pages		= {87--107}
32405}
32406
32407@Article{	  manne.richels:international,
32408  author	= {A. S. Manne and R. G. Richels},
32409  title		= {International Trade in Carbon Emission Rights: {A} Decomposition Procedure},
32410  journal	= {Economic Review},
32411  year		= {1991},
32412  volume	= {81},
32413  pages		= {135--139}
32414}
32415
32416@Article{	  manne.rutherford:international,
32417  author	= {A. S. Manne and T. F. Rutherford},
32418  title		= {International Trade in Oil, Gas and Carbon Emission Rights: An Intertemporal
32419		  General Equilibrium Model},
32420  journal	= {The Energy Journal},
32421  year		= {1993},
32422  volume	= {14},
32423  pages		= {1--20}
32424}
32425
32426@InCollection{	  manne:eta-macro,
32427  author	= {A. S. Manne},
32428  title		= {{ETA}-{M}acro: {A} {M}odel of Energy-Economy Interactions},
32429  booktitle	= {Modeling Energy-Economy Interactions},
32430  year		= {1977},
32431  editor	= {C. J. Hitch},
32432  publisher	= {Resources for the Future},
32433  address	= {Washington DC}
32434}
32435
32436@PhDThesis{	  maratos:exact,
32437  author	= {N. Maratos},
32438  title		= {Exact Penalty Function Algorithms for Finite Dimensional and Control Optimization
32439		  Problems},
32440  year		= {1978},
32441  school	= {Imperial College, University of London}
32442}
32443
32444@Article{	  marcotte.dussault:note,
32445  author	= {P. Marcotte and J.--P. Dussault},
32446  title		= {A Note on a Globally Convergent {N}ewton Method for Solving Monotone Variational
32447		  Inequalities},
32448  journal	= {Operations Research Letters},
32449  year		= {1987},
32450  volume	= {6},
32451  pages		= {35--42}
32452}
32453
32454@Article{	  marcotte.zhu:exact,
32455  author	= {P. Marcotte and D. L. Zhu},
32456  title		= {Exact and Inexact Penalty Methods for the Generalized Bilevel Programming
32457		  Problem},
32458  journal	= {Mathematical Programming},
32459  year		= {1996},
32460  volume	= {74},
32461  pages		= {141--158}
32462}
32463
32464@Article{	  marcotte:algorithm,
32465  author	= {P. Marcotte},
32466  title		= {A New Algorithm for Solving Variational Inequalities with Application to the
32467		  Traffic Assignment Problem},
32468  journal	= {Mathematical Programming},
32469  year		= {1985},
32470  volume	= {33},
32471  pages		= {339--351}
32472}
32473
32474@Article{	  marcotte:application,
32475  author	= {P. Marcotte},
32476  title		= {Application of {K}hobotov's Algorithm to Variational Inequalities and Network
32477		  Equilibrium Problems},
32478  journal	= {Information Systems and Operational Research},
32479  year		= {1991},
32480  volume	= {29},
32481  pages		= {258--270}
32482}
32483
32484@Article{	  marcotte:network,
32485  author	= {P. Marcotte},
32486  title		= {Network Design Problem with Congestion Effects: {A} Case of Bilevel Programming},
32487  journal	= {Mathematical Programming},
32488  year		= {1986},
32489  volume	= {34},
32490  pages		= {142--162}
32491}
32492
32493@Article{	  markusen.rutherford.ea:el,
32494  author	= {J. R. Markusen and T. F. Rutherford and L. Hunter},
32495  title		= {El libre comercio en {A}merica del {N}orte y la produccion de automoviles},
32496  journal	= {Cuadernos Economicos de Ice},
32497  year		= {1995},
32498  volume	= {59},
32499  pages		= {57--68}
32500}
32501
32502@Article{	  markusen.rutherford.ea:trade,
32503  author	= {J. R. Markusen and T. F. Rutherford and L. Hunter},
32504  title		= {Trade liberalization in a multinational-dominated industry},
32505  journal	= {Journal of International Economics},
32506  year		= {1995},
32507  volume	= {38},
32508  pages		= {95--118}
32509}
32510
32511@Article{	  markusen.rutherford:discrete,
32512  author	= {J. R. Markusen and T. F. Rutherford},
32513  title		= {Discrete plant-location decisions in an applied general equilibrium model of
32514		  trade liberalization},
32515  journal	= {Weltwirtshchaftliches Archiv},
32516  year		= {1994}
32517}
32518
32519@Article{	  markusen.wigle:nash,
32520  author	= {J. Markusen and R. Wigle},
32521  title		= {Nash Equilibrium Tariffs for the {U}nited {S}tates and {C}anada: The Roles of
32522		  Country Size, Scale Economies and Capital Mobility},
32523  journal	= {Journal of Political Mobility},
32524  year		= {1989},
32525  volume	= {97},
32526  pages		= {368--386}
32527}
32528
32529@Article{	  marquardt:algorithm,
32530  author	= {D. W. Marquardt},
32531  title		= {An Algorithm for Least--Squares Estimation of Nonlinear Parameters},
32532  journal	= {SIAM Journal on Applied Mathematics},
32533  year		= {1963},
32534  volume	= {11},
32535  pages		= {431--441}
32536}
32537
32538@Article{	  martello.toth:algorithm,
32539  author	= {S. Martello and P. Toth},
32540  title		= {A New Algorithm for the 0--1 Knapsack Problem},
32541  journal	= {Management Science},
32542  year		= {1988},
32543  volume	= {34},
32544  pages		= {633--644}
32545}
32546
32547@InCollection{	  martello.toth:algorithms,
32548  author	= {S. Martello and P. Toth},
32549  title		= {Algorithms for Knapsack Problems},
32550  booktitle	= {Surveys in Combinatorial Optimization},
32551  year		= {1987},
32552  editor	= {S. Martello and G. Laporte and M. Minoux and C. Ribeiro},
32553  publisher	= {Annals of Discrete Mathematics 31, North--Holland},
32554  address	= {Amsterdam}
32555}
32556
32557@Article{	  martello.toth:mixture,
32558  author	= {S. Martello and P. Toth},
32559  title		= {A Mixture of Dynamic Programming and Branch--and--Bound for the Subset--Sum
32560		  Problem},
32561  journal	= {Management Science},
32562  year		= {1984},
32563  volume	= {30},
32564  pages		= {765--771}
32565}
32566
32567@Article{	  martello.toth:worst-case,
32568  author	= {S. Martello and P. Toth},
32569  title		= {Worst--Case Analysis of Greedy Algorithms for the Subset Sum Problem},
32570  journal	= {Mathematical Programming},
32571  year		= {1984},
32572  volume	= {28},
32573  pages		= {198--205}
32574}
32575
32576@Article{	  martinet:regularisation,
32577  author	= {Bernard Martinet},
32578  title		= {Regularisation d'Inequations Variationelles par Approximations Successives},
32579  journal	= {Revue Fran\c{c}aise d'Informatique et Recherche Operationelle},
32580  year		= {1970},
32581  volume	= {4},
32582  pages		= {154--159}
32583}
32584
32585@Article{	  maskin.tirole:theory,
32586  author	= {E. Maskin and J. Tirole},
32587  title		= {A theory of Dynamic Oligopoly, {I}: Overview and quantity competition with large
32588		  fixed costs},
32589  journal	= {Econometrica},
32590  volume	= {56},
32591  year		= {1988},
32592  pages		= {549--569}
32593}
32594
32595@Article{	  maskin.tirole:theory*1,
32596  author	= {E. Maskin and J. Tirole},
32597  title		= {A theory of Dynamic Oligopoly, {II}: Price competition, Kinked demand curves, and
32598		  Edgeworth cycles},
32599  journal	= {Econometrica},
32600  volume	= {56},
32601  year		= {1988},
32602  pages		= {571--579}
32603}
32604
32605@Article{	  maskus.rutherford.ea:economic,
32606  author	= {K. Maskus and T. F. Rutherford and S. Selby},
32607  title		= {Economic Implications of Changes in Labor Standards: a Computational Analysis for
32608		  {M}exico},
32609  journal	= {North American Journal of Economics and Finance},
32610  year		= {1996}
32611}
32612
32613@Article{	  mastor:experimental,
32614  author	= {A. A. Mastor},
32615  title		= {An Experimental Investigation and Comparative Evaluation of Production Line
32616		  Balancing Techniques},
32617  journal	= {Management Science},
32618  year		= {1970},
32619  volume	= {16},
32620  pages		= {728--746}
32621}
32622
32623@Article{	  mathias.pang:error,
32624  author	= {R. Mathias and J. S. Pang},
32625  title		= {Error bounds for the linear complementarity problem with a {P}-matrix},
32626  journal	= {Linear Algebra and Its Applications},
32627  year		= {1990},
32628  volume	= {132},
32629  pages		= {123--136}
32630}
32631
32632@Article{	  mathiesen:algorithm,
32633  author	= {L. Mathiesen},
32634  title		= {An Algorithm based on a Sequence of Linear Complementarity Problems applied to a
32635		  {W}alrasian Equilibrium Model: An Example},
32636  journal	= {Mathematical Programming},
32637  year		= {1987},
32638  volume	= {37},
32639  pages		= {1--18}
32640}
32641
32642@Article{	  mathiesen:computation,
32643  author	= {L. Mathiesen},
32644  title		= {Computation of Economic Equilibria by a Sequence of Linear Complementarity
32645		  Problems},
32646  journal	= {Mathematical Programming Study},
32647  year		= {1985},
32648  volume	= {23},
32649  pages		= {144--162}
32650}
32651
32652@Article{	  mathiesen:computational,
32653  author	= {L. Mathiesen},
32654  title		= {Computational Experience in Solving Equilibrium Models by a Sequence of Linear
32655		  Complementarity Problems},
32656  journal	= {Operations Research},
32657  year		= {1985},
32658  volume	= {33},
32659  pages		= {1225--1250}
32660}
32661
32662@Book{		  matlab:users,
32663  author	= {{MATLAB}},
32664  title		= {User's Guide},
32665  year		= {1992},
32666  publisher	= {The MathWorks, Inc.}
32667}
32668
32669@Book{		  mcclelland.rummelhart:explorations,
32670  author	= {J. L. McClelland and D. E. Rummelhart},
32671  title		= {Explorations in Parallel Distributed Processing: {A} Handbook of Models,
32672		  Programs, and Exercises},
32673  year		= {1987},
32674  publisher	= {MIT Press},
32675  address	= {Cambridge, Massachusetts}
32676}
32677
32678@Article{	  mccormick:modification,
32679  author	= {G. P. McCormick},
32680  title		= {A Modification of {A}rmijo's Step--Size Rule for Negative Curvature},
32681  journal	= {Mathematical Programming},
32682  year		= {1977},
32683  volume	= {13},
32684  pages		= {111--115}
32685}
32686
32687@Book{		  mccormick:nonlinear,
32688  author	= {G. P. McCormick},
32689  title		= {Nonlinear Programming: Theory, Algorithms and Applications},
32690  year		= {1983},
32691  publisher	= {John Wiley \& Sons},
32692  address	= {New York}
32693}
32694
32695@Article{	  mcculloch.pitts:logical,
32696  author	= {W. McCulloch and W. Pitts},
32697  title		= {A Logical Calculus of the Ideas Immanent in Nervous Activity},
32698  journal	= {Bulletin of Mathematical Biophysics},
32699  year		= {1943},
32700  volume	= {7},
32701  pages		= {115--133}
32702}
32703
32704@TechReport{	  mckenna.zenios:optimal,
32705  author	= {M. McKenna and S. A. Zenios},
32706  title		= {An Optimal Parallel Implementation of a Quadratic Transportation Algorithm},
32707  institution	= {Thinking Machines Corporation},
32708  year		= {1990},
32709  type		= {Working Paper},
32710  address	= {Cambridge, MA}
32711}
32712
32713@Article{	  mckinnon:convergence,
32714  author	= {K. I. M. McKinnon},
32715  title		= {Convergence of the {N}elder-{M}ead Simplex Method to a Nonstationary Point},
32716  journal	= {SIAM Journal on Optimization},
32717  year		= {1998},
32718  volume	= {9},
32719  pages		= {148--158}
32720}
32721
32722@Article{	  mcshane.monma.ea:implementation,
32723  author	= {K. A. McShane and C. L. Monma and D. F. Shanno},
32724  title		= {An implementation of a primal-dual interior point method for linear programming},
32725  journal	= {ORSA Journal of Computing},
32726  year		= {1989},
32727  volume	= {1},
32728  pages		= {70--83}
32729}
32730
32731@PhDThesis{	  medhi:decomposition,
32732  author	= {D. Medhi},
32733  title		= {Decomposition of Structured Large--Scale Optimization Problems and Parallel
32734		  Optimization},
32735  school	= {Computer Sciences Department, University of Wisconsin},
32736  year		= {1987},
32737  address	= {Madison, Wisconsin},
32738  note		= {Technical Report 718}
32739}
32740
32741@Article{	  medhi:parallel,
32742  author	= {D. Medhi},
32743  title		= {Parallel Bundle-Based Decomposition for Large-Scale Structured Mathematical
32744		  Programming Problems},
32745  journal	= {Annals of Operations Research},
32746  year		= {1990},
32747  volume	= {22},
32748  pages		= {101--127}
32749}
32750
32751@Article{	  megiddo:complexity,
32752  author	= {N. Megiddo},
32753  title		= {On the complexity of polyhedral separability},
32754  journal	= {Discrete and Computational Geometry},
32755  year		= {1988},
32756  volume	= {3},
32757  pages		= {325--337}
32758}
32759
32760@Article{	  megiddo:finding,
32761  author	= {N. Megiddo},
32762  title		= {On Finding Primal-- and Dual--Optimal Bases},
32763  journal	= {ORSA Journal on Computing},
32764  year		= {1991},
32765  volume	= {3},
32766  pages		= {63--65}
32767}
32768
32769@Article{	  mehrotra:implementation,
32770  author	= {S. Mehrotra},
32771  title		= {On the implementation of a primal-dual interior point method},
32772  journal	= {SIAM Journal on Optimization},
32773  year		= {1992},
32774  volume	= {2},
32775  pages		= {575--601}
32776}
32777
32778@PhDThesis{	  merrill:applications,
32779  author	= {O. H. Merrill},
32780  title		= {Application and Extensions of an Algorithm that Computes Fixed Points of Upper
32781		  Semicontinuous Point to Set Mappings},
32782  year		= {1972},
32783  school	= {University of Michigan}
32784}
32785
32786@Article{	  merten.muller:variance,
32787  author	= {A. G. Merten and M. E. Muller},
32788  title		= {Variance Minimization in Single Machine Sequencing Problems},
32789  journal	= {Management Science},
32790  year		= {1972},
32791  volume	= {18},
32792  pages		= {518--528}
32793}
32794
32795@TechReport{	  meyer:continuity,
32796  author	= {R. R. Meyer},
32797  title		= {Continuity Properties of Linear Programs},
32798  institution	= {Computer Sciences Department, University of Wisconsin},
32799  year		= {1979},
32800  address	= {Madison, Wisconsin},
32801  number	= {373}
32802}
32803
32804@Article{	  miersemann.mittelmann:continuation,
32805  author	= {E. Miersemann and H. D. Mittelmann},
32806  title		= {Continuation for Parametrized Nonlinear Variational Inequalities},
32807  journal	= {Journal of Computational and Applied Mathematics},
32808  year		= {1989},
32809  volume	= {26},
32810  pages		= {23--34}
32811}
32812
32813@Article{	  mifflin:semismooth,
32814  author	= {R. Mifflin},
32815  title		= {Semismooth and semiconvex functions in constrained optimization},
32816  journal	= {SIAM Journal on Control and Optimization},
32817  year		= {1977},
32818  volume	= {15},
32819  pages		= {957--972}
32820}
32821
32822@Article{	  mifflin:stable,
32823  author	= {R. Mifflin},
32824  title		= {A Stable Method for Solving Certain Constrained Least Squares Problems},
32825  journal	= {Mathematical Programming},
32826  vol		= {16},
32827  pages		= {141--158},
32828  year		= {1979}
32829}
32830
32831@Book{		  miller:survival,
32832  author	= {Jr. R. G. Miller},
32833  title		= {Survival Analysis},
32834  year		= {1981},
32835  publisher	= {John Wiley \& Sons},
32836  address	= {New York}
32837}
32838
32839@Book{		  minsky.papert:perceptrons,
32840  author	= {M. Minsky and S. Papert},
32841  title		= {Perceptrons: An Introduction to Computational Geometry},
32842  year		= {1969},
32843  publisher	= {MIT Press},
32844  address	= {Cambridge, Massachusetts}
32845}
32846
32847@Article{	  minty:monotone,
32848  author	= {G. J. Minty},
32849  title		= {Monotone (Nonlinear) Operators in {H}ilbert Space},
32850  journal	= {Duke Mathematics Journal},
32851  year		= {1962},
32852  volume	= {29},
32853  pages		= {341--346}
32854}
32855
32856@Article{	  minty:monotonicity,
32857  author	= {G. J. Minty},
32858  title		= {On the Monotonicity of the Gradient of a Convex Function},
32859  journal	= {Pacific Journal of Mathematics},
32860  year		= {1964},
32861  volume	= {14},
32862  pages		= {243--247}
32863}
32864
32865@TechReport{	  mizuno.jarre.ea:unified,
32866  author	= {S. Mizuno and F. Jarre and J. Stoer},
32867  title		= {A Unified approach to infeasible--interior--point algorithms via geometrical
32868		  linear complementarity problems},
32869  institution	= {Mathematische Institut der Universit{\"{a}}t W{\"{u}}rzburg},
32870  address	= {W{\"{u}}rzburg, Germany},
32871  year		= {1994},
32872  number	= {Nr. 213},
32873  type		= {Preprint}
32874}
32875
32876@TechReport{	  mizuno:polynomiality,
32877  author	= {S. Mizuno},
32878  title		= {Polynomiality of {K}ojima-{M}egiddo-{M}izuno infeasible-interior-point algorithm
32879		  for linear programming},
32880  institution	= {School of Operations Research and Industrial Engineering, Cornell University},
32881  year		= {1993},
32882  number	= {1006},
32883  address	= {Ithaca, New York},
32884  month		= jan
32885}
32886
32887@Article{	  mohan.mageras.ea:clinically,
32888  author	= {R. Mohan and G. S. Mageras and B. Baldwin and L. J. Brewster and G. J. Kutcher
32889		  and S. Leibel and C. M. Burman and C. C. Ling and Z. Fuks},
32890  title		= {Clinically Relevant Optimization of 3-{D} Conformal Treatments},
32891  journal	= {Medical Physics},
32892  year		= {1992},
32893  volume	= {19},
32894  number	= {4},
32895  pages		= {933--944}
32896}
32897
32898@Article{	  mohan:field,
32899  author	= {R. Mohan},
32900  title		= {Field Shaping for Three-Dimensional Conformal Radiation Therapy and Multileaf
32901		  Collimation},
32902  journal	= {Seminars in Radiation Oncology},
32903  year		= {1995},
32904  volume	= {5},
32905  number	= {2},
32906  pages		= {86--99}
32907}
32908
32909@Article{	  monteiro.pang.ea:positive,
32910  author	= {R. D. C. Monteiro and J. S. Pang and T. Wang},
32911  title		= {A Positive Algorithm for the Nonlinear Complementarity Problem},
32912  journal	= {SIAM Journal on Optimization},
32913  year		= {1995},
32914  volume	= {5},
32915  pages		= {129--148}
32916}
32917
32918@Article{	  monteiro.tsuchiya:limiting,
32919  author	= {R. D. C. Monteiro and T. Tsuchiya},
32920  title		= {Limiting Behavior of the Derivatives of Certain Trajectories Associated with a
32921		  Monotone Horizontal Linear Complementarity Problem},
32922  year		= {1996},
32923  journal	= {Mathematics of Operations Research},
32924  pages		= {793--814},
32925  volume	= {21}
32926}
32927
32928@Article{	  monteiro.wright:local,
32929  author	= {R. D. C. Monteiro and S. J. Wright},
32930  title		= {Local Convergence of Interior--Point Algorithms for Degenerate {LCP}},
32931  journal	= {Computational Optimization and Applications},
32932  year		= {1994},
32933  volume	= {3},
32934  pages		= {131--155}
32935}
32936
32937@Article{	  monteiro.wright:superlinear,
32938  author	= {R. D. C. Monteiro and S. J. Wright},
32939  title		= {A Superlinear Infeasible-Interior-Point Affine Scaling Algorithm for {LCP}},
32940  year		= {1996},
32941  journal	= {SIAM Journal on Optimization},
32942  volume	= {6},
32943  pages		= {1--18}
32944}
32945
32946@Article{	  monteiro.wright:superlinear*1,
32947  author	= {R. D. C. Monteiro and S. J. Wright},
32948  title		= {Superlinear Primal-Dual Affine Scaling Algorithms for {LCP}},
32949  journal	= {Mathematical Programming},
32950  year		= {1995},
32951  volume	= {69},
32952  pages		= {311--333}
32953}
32954
32955@Article{	  more.garbow.ea:testing,
32956  author	= {J. J. Mor\'{e} and B. S. Garbow and K. E. Hillstrom},
32957  title		= {Testing Unconstrained Optimization Software},
32958  journal	= {ACM Transactions on Mathematical Software},
32959  year		= {1981},
32960  volume	= {7},
32961  pages		= {17--41}
32962}
32963
32964@Article{	  more.rheinboldt:p,
32965  author	= {J. J. Mor\'{e} and W. C. Rheinboldt},
32966  title		= {On {P}-- and {S}--functions and Related Classes of {N}--Dimensional Nonlinear
32967		  Mappings},
32968  journal	= {Linear Algebra and Its Applications},
32969  year		= {1973},
32970  volume	= {6},
32971  pages		= {45--68}
32972}
32973
32974@Article{	  more.sorensen:use,
32975  author	= {J. J. Mor\'{e} and D. C. Sorensen},
32976  title		= {On the use of Directions of Negative Curvature in a Modified {N}ewton Method},
32977  journal	= {Mathematical Programming},
32978  year		= {1979},
32979  volume	= {16},
32980  pages		= {1--20}
32981}
32982
32983@Article{	  more.sorensen:computing,
32984  author	= {J. J. Mor\'{e} and D. C. Sorensen},
32985  title		= {Computing a Trust Region Step},
32986  journal	= {SIAM Journal on Scientific and Statistical Computing},
32987  year		= {1983},
32988  volume	= {4},
32989  pages		= {553--572}
32990}
32991
32992@Article{	  more.toraldo:solution,
32993  author	= {J. J. Mor\'e and G. Toraldo},
32994  title		= {On the Solution of Large Quadratic Programming Problems with Bound Constraints},
32995  journal	= {SIAM Journal on Optimization},
32996  year		= {1991},
32997  volume	= {1},
32998  pages		= {93--113}
32999}
33000
33001@TechReport{	  more.vavasis:solution,
33002  author	= {J. J. Mor\'{e} and S. A. Vavasis},
33003  title		= {On the Solution of Concave Knapsack Problems},
33004  institution	= {Argonne National Laboratory},
33005  year		= {1988},
33006  address	= {Argonne, Illinois},
33007  number	= {ANL/MCS--P40--1288},
33008  type		= {Mathematics and Computer Science Division Report}
33009}
33010
33011@Book{		  more.wright:optimization,
33012  author	= {J. J. Mor\'{e} and S. J. Wright},
33013  title		= {Optimization Software Guide},
33014  publisher	= {SIAM},
33015  address	= {Philadelphia, Pennsylvania},
33016  series	= {Frontiers in Applied Mathematics},
33017  number	= {14},
33018  year		= {1993}
33019}
33020
33021@TechReport{	  more.wu:global,
33022  author	= {J. J. Mor\'{e} and Z. Wu},
33023  title		= {Global Continuation for Distance Geometry Problems},
33024  institution	= {Argonne National Laboratory},
33025  year		= {1995},
33026  type		= {Preprint},
33027  number	= {MCS-P505-0395},
33028  address	= {Argonne, Illinois}
33029}
33030
33031@TechReport{	  more.wu:issues,
33032  author	= {J. J. Mor\'{e} and Z. Wu},
33033  title		= {Issues in Large-Scale Global Molecular Optimization},
33034  institution	= {Argonne National Laboratory},
33035  year		= {1995},
33036  type		= {Preprint},
33037  number	= {MCS-P539-1095},
33038  address	= {Argonne, Illinois}
33039}
33040
33041@TechReport{	  more:collection,
33042  author	= {J. J. Mor\'e},
33043  title		= {A Collection of Nonlinear Model Problems},
33044  institution	= {Argonne National Laboratory},
33045  year		= {1989},
33046  type		= {Preprint},
33047  address	= {Argonne, Illinois},
33048  number	= {MCS-P60-0289}
33049}
33050
33051@Article{	  more:global,
33052  author	= {J. J. Mor\'e},
33053  title		= {Global Methods for Nonlinear Complementarity Problems},
33054  year		= {1996},
33055  journal	= {Mathematics of Operations Research},
33056  pages		= {589--614},
33057  volume	= {21}
33058}
33059
33060@Article{	  moreau:proximite,
33061  author	= {J.--J. Moreau},
33062  title		= {Proximit\'{e} et Dualit\'{e} dans un Espace {H}ilbertien},
33063  journal	= {Bulletin de la Soci\'{e}t\'{e} Math\'{e}matique de France},
33064  year		= {1965},
33065  volume	= {93},
33066  pages		= {273--299}
33067}
33068
33069@Article{	  morrill.lane.ea:dose-volume,
33070  author	= {S. Morrill and R. Lane and J. Wong and I. Rosen},
33071  title		= {Dose-volume considerations with linear programming},
33072  journal	= {Medical Physics},
33073  year		= {1991},
33074  volume	= {18},
33075  number	= {6},
33076  pages		= {1201--1210}
33077}
33078
33079@Article{	  morrill:very,
33080  author	= {S. M. Morrill and K. S. Lam and R. G. Lane and M. Langer and I. I. Rosen},
33081  title		= {Very Fast Simulated Annealing in Radiation Therapy Treatment Plan Optimization},
33082  journal	= {International Journal of Radiation Oncology, Biology and Physics},
33083  year		= {1995},
33084  volume	= {31},
33085  pages		= {179--188}
33086}
33087
33088@TechReport{	  morshedi.tapia:karmarkar,
33089  author	= {A. M. Morshedi and R. A. Tapia},
33090  title		= {Karmarkar as a Classical Method},
33091  institution	= {Department of Mathematical Sciences, Rice University},
33092  year		= {1987},
33093  number	= {87--7},
33094  type		= {Technical Report}
33095}
33096
33097@Article{	  mosco:dual,
33098  author	= {U. Mosco},
33099  title		= {Dual Variational Inequalities},
33100  journal	= {Journal of Mathematical Analysis and its Applications},
33101  year		= {1972},
33102  volume	= {40},
33103  pages		= {202--206}
33104}
33105
33106@Article{	  motzkin.schoenberg:relaxation,
33107  author	= {T. S. Motzkin and I. J. Schoenberg},
33108  title		= {The relaxation method for linear inequalities},
33109  journal	= {Canadian Journal of Mathematics},
33110  year		= {1954},
33111  volume	= {6},
33112  pages		= {393--404}
33113}
33114
33115@InProceedings{	  muhlenbein:parallel,
33116  crossref	= {schaeffer:third},
33117  author	= {H. M{\"{}u}hlenbein},
33118  title		= {Parallel Genetic Algorithms, Population Genetics and Combinatorial Optimization},
33119  pages		= {416--421}
33120}
33121
33122@Article{	  mukhopadhyay.roy.ea:polynomial,
33123  author	= {S. Mukhopadhyay and A. Roy and S. Govil},
33124  title		= {A polynomial time algorithm for generating neural networks for pattern
33125		  classification: Its stability properties and some test results},
33126  journal	= {Neural Computation},
33127  year		= {1993},
33128  volume	= {5},
33129  pages		= {317--330}
33130}
33131
33132@Article{	  mulvey.ruszczynski:diagonal,
33133  author	= {J. M. Mulvey and A. Ruszczynski},
33134  title		= {A Diagonal Quadratic Approximation Methods for Large Scale Linear Programs},
33135  journal	= {Operations Research Letters},
33136  year		= {1992},
33137  volume	= {12},
33138  pages		= {205--215}
33139}
33140
33141@TechReport{	  mulvey.ruszczynski:scenario,
33142  author	= {J. M. Mulvey and A. Ruszczynski},
33143  title		= {A New Scenario Decomposition Method for Large--Scale Stochastic Optimization},
33144  institution	= {Department of Civil Engineering and Operations Research, Princeton University},
33145  year		= {1991},
33146  address	= {Princeton, New Jersey},
33147  number	= {SOR 91-19},
33148  type		= {Technical Report}
33149}
33150
33151@PhDThesis{	  munson:algorithms,
33152  author	= {T. S. Munson},
33153  title		= {Algorithms and Environments for Complementarity},
33154  school	= {University of Wisconsin--Madison},
33155  year		= {2000},
33156  address	= {Madison, Wisconsin},
33157  month		= aug,
33158  url		= {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/00-02.ps}
33159}
33160
33161@Article{	  munson.facchinei.ea:semismooth,
33162  author	= {T. S. Munson and F. Facchinei and M. C. Ferris and A. Fischer and C. Kanzow},
33163  title		= {The Semismooth Algorithm for Large Scale Complementarity Problems},
33164  journal	= {INFORMS Journal on Computing},
33165  year		= {2001},
33166  volume	= {forthcoming}
33167}
33168
33169@Article{	  murchland:braess,
33170  author	= {J. D. Murchland},
33171  title		= {Braess' Paradox of Traffic Flow},
33172  journal	= {Transportation Research},
33173  year		= {1970},
33174  volume	= {4},
33175  pages		= {391--394}
33176}
33177
33178@Unpublished{	  murphy.aha:uci,
33179  author	= {P. M. Murphy and D. W. Aha},
33180  title		= {{UCI} Repository of Machine Learning Databases},
33181  year		= {1992},
33182  note		= {Department of Information and Computer Science, University of California, Irvine,
33183		  California, http://www.ics.uci.edu/AI/ML/MLDBRepository.html}
33184}
33185
33186@Book{		  murphy.lawrence.ea:american,
33187  editor	= {G. P. Murphy and W. L. Lawrence and R. E. Lenhard},
33188  title		= {American Cancer Society Textbook of Clinical Oncology},
33189  publisher	= {The American Cancer Society, Inc.},
33190  address	= {Atlanta, Georgia},
33191  year		= {1995}
33192}
33193
33194@Article{	  murphy.sherali.ea:mathematical,
33195  author	= {Frederic H. Murphy and Hanif D. Sherali and Allen L. Soyster},
33196  title		= {A Mathematical Programming Approach for Determining Oligopolistic Market
33197		  Equilibrium},
33198  journal	= {Mathematical Programming},
33199  year		= {1982},
33200  volume	= {24},
33201  pages		= {92--106}
33202}
33203
33204@TechReport{	  murtagh.saunders:minos,
33205  author	= {B. A. Murtagh and M. A. Saunders},
33206  title		= {{MINOS} 5.0 User's Guide},
33207  institution	= {Stanford University},
33208  address	= {Stanford, California},
33209  year		= {1983},
33210  number	= {{SOL} 83.20},
33211  type		= {Technical Report}
33212}
33213
33214@InProceedings{	  murthy.kasif.ea:oc1,
33215  author	= {S. Murthy and S. Kasif and S. Salzberg and R. Beigel},
33216  title		= {{OC1}: Randomized Induction of Oblique Decision Trees},
33217  booktitle	= {Proceedings of the Eleventh National Conference on Artificial Intelligence},
33218  year		= {1993},
33219  publisher	= {The AAAI Press/The MIT Press},
33220  address	= {Cambridge, MA 02142},
33221  pages		= {322--327}
33222}
33223
33224@Book{		  murty:linear,
33225  author	= {K. G. Murty},
33226  title		= {Linear Complementarity, Linear and Nonlinear Programming},
33227  year		= {1988},
33228  publisher	= {Helderman-Verlag},
33229  address	= {Berlin}
33230}
33231
33232@Book{		  murty:linear*1,
33233  author	= {K. G. Murty},
33234  title		= {Linear Programming},
33235  year		= {1983},
33236  publisher	= {John Wiley \& Sons},
33237  address	= {New York}
33238}
33239
33240@Article{	  murty:number,
33241  author	= {K. G. Murty},
33242  title		= {On the number of solutions of the complementarity problem and spanning properties
33243		  of cones},
33244  journal	= {Linear Algebra and Its Applications},
33245  year		= {1972},
33246  volume	= {5},
33247  pages		= {65--108}
33248}
33249
33250@Book{		  murty:linear*2,
33251  author	= {K. G. Murty},
33252  title		= {Linear and Combinatorial Programming},
33253  year		= {1976},
33254  publisher	= {John Wiley \& Sons},
33255  address	= {New York}
33256}
33257
33258@Book{		  nagurney:network,
33259  author	= {A. Nagurney},
33260  title		= {Network Economics -- {A} Variational Inequality Approach},
33261  publisher	= {Kluwer Academic Publishers},
33262  year		= {1993},
33263  address	= {Dordrecht, The Netherlands}
33264}
33265
33266@Article{	  nash.nocedal:numerical,
33267  author	= {S. G. Nash and J. Nocedal},
33268  title		= {A Numerical Study of the Limited Memory {BFGS} Method and the Truncated-{N}ewton
33269		  Method for Large Scale Optimization},
33270  journal	= {SIAM Journal on Optimization},
33271  year		= {1991},
33272  volume	= {3},
33273  pages		= {358--372}
33274}
33275
33276@Article{	  nash:equilibrium,
33277  author	= {J. F. Nash},
33278  title		= {Equilibrium Points in {N}--Person Games},
33279  journal	= {Proceedings of the National Academy of Sciences},
33280  year		= {1950},
33281  volume	= {36},
33282  pages		= {48--49}
33283}
33284
33285@Article{	  nash:non-cooperative,
33286  author	= {J. F. Nash},
33287  title		= {Non-cooperative games},
33288  journal	= {Annals of Mathematics},
33289  year		= {1951},
33290  volume	= {54},
33291  pages		= {286--295}
33292}
33293
33294@Article{	  nash:newton-type,
33295  author	= {S. G. Nash},
33296  title		= {{N}ewton--Type Minimization via {L}anczos Method},
33297  journal	= {SIAM Journal on Numerical Analysis},
33298  year		= {1984},
33299  volume	= {21},
33300  pages		= {770--788}
33301}
33302
33303@Article{	  nauss:efficient,
33304  author	= {R. M. Nauss},
33305  title		= {An Efficient Algorithm for the 0--1 Knapsack Problem},
33306  journal	= {Management Science},
33307  year		= {1976},
33308  volume	= {23},
33309  pages		= {27--31}
33310}
33311
33312@Book{		  nazareth:computer,
33313  author	= {J. L. Nazareth},
33314  title		= {Computer Solution of Linear Programs},
33315  year		= {1987},
33316  publisher	= {Oxford University Press},
33317  address	= {Oxford}
33318}
33319
33320@Article{	  nelder.mead:simplex,
33321  title		= {A Simplex Method for Function Minimization},
33322  author	= {J. A. Nelder and R. Mead},
33323  journal	= {Computer Journal},
33324  volume	= {7},
33325  pages		= {308--313},
33326  year		= {1965}
33327}
33328
33329@Article{	  nemhauser.savelsbergh.ea:minto,
33330  author	= {G. L. Nemhauser and M. W. P. Savelsbergh and G. S. Sigismondi},
33331  title		= {{MINTO}, {A} Mixed Integer Optimizer},
33332  journal	= {Operations Research Letters},
33333  year		= {1994},
33334  optkey	= {},
33335  optvolume	= {15},
33336  optnumber	= {},
33337  optpages	= {47--58},
33338  optmonth	= {},
33339  optnote	= {},
33340  optannote	= {}
33341}
33342
33343@Book{		  nemhauser.wolsey:integer,
33344  author	= {G. L. Nemhauser and L. A. Wolsey},
33345  title		= {Integer and Combinatorial Optimization},
33346  publisher	= {John Wiley \& Sons},
33347  year		= {1988},
33348  address	= {New York, NY}
33349}
33350
33351@Article{	  nestor.pasurka:alternative,
33352  author	= {D. Vaughn Nestor and C. Pasurka},
33353  title		= {Alternative Specifications for Environmental Control Costs in a General
33354		  Equilibrium Framework},
33355  journal	= {Economics Letters},
33356  year		= {1995},
33357  volume	= {48},
33358  pages		= {273--280}
33359}
33360
33361@Article{	  nestor.pasurka:cge,
33362  author	= {D. Vaughn Nestor and C. Pasurka},
33363  title		= {{CGE} Model of Pollution Abatement Processes for Assessing the Economic Effects
33364		  of Environmental Policy},
33365  journal	= {Economic Modelling},
33366  year		= {1995},
33367  volume	= {12},
33368  pages		= {53--59}
33369}
33370
33371@Article{	  newman.shapiro:theorems,
33372  author	= {D. J. Newman and H. S. Shapiro},
33373  title		= {Some Theorems on \v{C}eby\v{s}ev Approximation},
33374  journal	= {Duke Mathematical Journal},
33375  year		= {1963},
33376  volume	= {30},
33377  pages		= {673--682}
33378}
33379
33380@Article{	  ng.peyton:block,
33381  author	= {E. Ng and B. Peyton},
33382  title		= {Block Sparse Cholesky Algorithms on Advanced Uniprocessor Computers},
33383  journal	= {SIAM Journal on Scientific and Statistical Computing},
33384  year		= {1993},
33385  volume	= {14},
33386  pages		= {1034--1056}
33387}
33388
33389@TechReport{	  nielsen.zenios:solving,
33390  author	= {S. S. Nielsen and S. A. Zenios},
33391  title		= {Solving Linear Stochastic Network Programs using Massively Parallel Proximal
33392		  Algorithms},
33393  institution	= {Decision Sciences Department, The Wharton School, University of Pennsylvania},
33394  year		= {1992},
33395  address	= {Philadelphia},
33396  number	= {92-01-05}
33397}
33398
33399@Article{	  niemierko:optimization,
33400  author	= {A. Niemierko},
33401  title		= {Optimization of 3{D} Radiation Therapy With Both Physical and Biological End
33402		  Points and Constraints},
33403  journal	= {International Journal of Radiation Oncology, Biology and Physics},
33404  year		= {1992},
33405  volume	= {23},
33406  pages		= {99--108}
33407}
33408
33409@InCollection{	  niemierko:treatment,
33410  author	= {A. Niemierko},
33411  title		= {Treatment Plan Optimization},
33412  booktitle	= {3-D Radiation Treatment Planning and Conformal Therapy},
33413  editor	= {J. A. Purdy and B. Emami},
33414  publisher	= {Medical Physics Publishing},
33415  year		= {1993},
33416  pages		= {49--55},
33417  address	= {St. Louis, Missouri}
33418}
33419
33420@Article{	  niemireko:optimization,
33421  author	= {A. Niemierko},
33422  title		= {Optimization of intensity modulated beams: Local or global optimum?},
33423  journal	= {Medical Physics},
33424  year		= {1996},
33425  optvolume	= {23},
33426  optpages	= {1072}
33427}
33428
33429@Manual{	  nih:radiation,
33430  title		= {Radiation Therapy and You - {A} Guide to Self-Help During Treatment},
33431  author	= {N. C. I. National Institutes of Health},
33432  organization	= {NIH Publication},
33433  address	= {Bethesda, Maryland},
33434  edition	= {97-2227},
33435  year		= {1997}
33436}
33437
33438@Book{		  nilsson:learning,
33439  author	= {N. J. Nilsson},
33440  title		= {Learning Machines},
33441  year		= {1966},
33442  publisher	= {MIT Press},
33443  address	= {Cambridge, Massachusetts}
33444}
33445
33446@Article{	  nocedal:theory,
33447  author	= {J. Nocedal},
33448  title		= {Theory of Algorithms for Unconstrained Optimization},
33449  journal	= {Acta Numerica},
33450  year		= {1992},
33451  pages		= {199--242}
33452}
33453
33454@InProceedings{	  noyes:neural,
33455  author	= {J. L. Noyes},
33456  title		= {Neural Network Optimization Methods},
33457  booktitle	= {Proceedings of the Fourth Conference on Neural Networks and Parallel Distributed
33458		  Processing},
33459  year		= {1991},
33460  publisher	= {Indiana-Purdue University},
33461  address	= {Fort Wayne, Indiana},
33462  pages		= {1--12}
33463}
33464
33465@Article{	  nygard.juell.ea:neural,
33466  author	= {K. E. Nygard and P. Juell and N. Kadaba},
33467  title		= {Neural Networks for Selecting Vehicle Routing Heuristics},
33468  journal	= {ORSA Journal on Computing},
33469  year		= {1990},
33470  volume	= {4},
33471  pages		= {353--364}
33472}
33473
33474@Article{	  oh.goenka:elastohydrodynamic,
33475  author	= {K. P. Oh and P. K. Goenka},
33476  title		= {The Elastohydrodynamic Solution of Journal Bearings under Dynamic Loading},
33477  journal	= {Transactions of the {ASME}, Journal of Tribology},
33478  volume	= {107},
33479  year		= {1985},
33480  pages		= {389--395}
33481}
33482
33483@Article{	  oh.li.ea:elastohydrodynamic,
33484  author	= {K. P. Oh and C. H. Li and P. K. Goenka},
33485  title		= {Elastohydrodynamic Lubrication of Piston Skirts},
33486  journal	= {Transactions of the {ASME}, Journal of Tribology},
33487  volume	= {109},
33488  pages		= {356--362},
33489  year		= {1987}
33490}
33491
33492@Article{	  oh:analysis,
33493  author	= {K. P. Oh},
33494  title		= {Analysis of a Needle Bearing},
33495  journal	= {Transactions of the {ASME}, Journal of Tribology},
33496  volume	= {106},
33497  pages		= {78--87},
33498  year		= {1984}
33499}
33500
33501@Article{	  oh:formulation,
33502  author	= {K. P. Oh},
33503  title		= {The Formulation of the Mixed Lubrication Problem as a Generalized Nonlinear
33504		  Complementarity Problem},
33505  journal	= {Transactions of the {ASME}, Journal of Tribology},
33506  volume	= {108},
33507  year		= {1986},
33508  pages		= {598--604}
33509}
33510
33511@Article{	  oh:numerical,
33512  author	= {K. P. Oh},
33513  title		= {The Numerical Solution of Dynamically Loaded Elastohydrodynamic Contact as a
33514		  Nonlinear Complementarity Problem},
33515  journal	= {Transactions of the {ASME}, Journal of Tribology},
33516  volume	= {106},
33517  year		= {1984},
33518  pages		= {88--95}
33519}
33520
33521@Article{	  olivera.shepard.ea:maximum,
33522  author	= {G. H. Olivera and D. M. Shepard and P. J. Reckwerdt and K. Ruchala and J. Zachman
33523		  and E. E. Fitchard and T. R. Mackie},
33524  title		= {Maximum Likelihood as a Common Computational Framework in Tomotherapy},
33525  journal	= {Physics in Medicine and Biology},
33526  year		= {1998},
33527  pages		= {3277--3294}
33528}
33529
33530@Article{	  opial:weak,
33531  author	= {Z. Opial},
33532  title		= {Weak Convergence of the Sequence of Successive Approximations for Nonexpansive
33533		  Mappings},
33534  journal	= {Bulletin of the American Mathematical Society},
33535  year		= {1967},
33536  volume	= {73},
33537  pages		= {591--597}
33538}
33539
33540@Book{		  orchard-hays:advanced,
33541  author	= {W. Orchard--Hays},
33542  title		= {Advanced Linear Programming Computing Techniques},
33543  year		= {1968},
33544  publisher	= {McGraw--Hill},
33545  address	= {New York}
33546}
33547
33548@Article{	  orourke.taylor.ea:factor,
33549  author	= {K. O'Rourke and A. M. Taylor and J. G. Williamson},
33550  title		= {Factor price convergence in the late nineteenth century},
33551  journal	= {International Economic Review},
33552  year		= {1996}
33553}
33554
33555@Article{	  orourke.williamson:open,
33556  author	= {K. O'Rourke and J. G. Williamson},
33557  title		= {Open economy forces and late 19th century {S}wedish catch-up: a quantitative
33558		  accounting},
33559  journal	= {Scandinavian Economic and Social History},
33560  year		= {1995},
33561  volume	= {XLIII},
33562  pages		= {171--203}
33563}
33564
33565@Article{	  orourke:costs,
33566  author	= {K. O'Rourke},
33567  title		= {The costs of international economic disintegration: {I}reland in the 1930's},
33568  journal	= {Research in Economic History},
33569  year		= {1995},
33570  volume	= {15},
33571  pages		= {215--259}
33572}
33573
33574@Article{	  orourke:industrial,
33575  author	= {K. O'Rourke},
33576  title		= {Industrial policy, employment policy and the non-traded sector},
33577  journal	= {Journal of the Statistical and Social Inquiry Society of Ireland},
33578  year		= {1996}
33579}
33580
33581@Article{	  orourke:measuring,
33582  author	= {K. O'Rourke},
33583  title		= {Measuring protection: a cautionary tale},
33584  journal	= {Journal of Development Economics},
33585  year		= {1996}
33586}
33587
33588@Book{		  ortega.rheinboldt:iterative,
33589  author	= {J. M. Ortega and W. C. Rheinboldt},
33590  title		= {Iterative Solution of Nonlinear Equations in Several Variables},
33591  year		= {1970},
33592  publisher	= {Academic Press},
33593  address	= {San Diego, California}
33594}
33595
33596@Book{		  ortega:introduction,
33597  author	= {J. M. Ortega},
33598  title		= {Introduction to Parallel and Vector Solution of Linear Systems},
33599  year		= {1988},
33600  publisher	= {Plenum Press},
33601  address	= {New York}
33602}
33603
33604@Book{		  ortega:numerical,
33605  author	= {J. M. Ortega},
33606  title		= {Numerical Analysis, {A} Second Course},
33607  year		= {1972},
33608  publisher	= {Academic Press}
33609}
33610
33611@Article{	  osborne.womersley:strong,
33612  author	= {M. R. Osborne and R. S. Womersley},
33613  title		= {Strong uniqueness in sequential linear programming},
33614  journal	= {Journal of the Australian Mathematical Society, Series B},
33615  year		= {1990},
33616  volume	= {31},
33617  pages		= {379--384}
33618}
33619
33620@InCollection{	  osborne:strong,
33621  author	= {M. R. Osborne},
33622  title		= {Strong uniqueness in nonlinear approximation},
33623  booktitle	= {The numerical solution of nonlinear problems},
33624  year		= {1981},
33625  editor	= {C. T. H. Baker and C. Phillips},
33626  publisher	= {Clarendon Press},
33627  address	= {Oxford}
33628}
33629
33630@Book{		  outrata.kocvara.ea:nonsmooth,
33631  author	= {J. Outrata and M. Ko\v{c}vara and J. Zowe},
33632  title		= {Nonsmooth Approach to Optimization Problems with Equilibrium Constraints},
33633  publisher	= {Kluwer Academic Publishers},
33634  year		= {1998},
33635  address	= {Dordrecht, The Netherlands}
33636}
33637
33638@Article{	  outrata.zowe:numerical,
33639  author	= {J. V. Outrata and J. Zowe},
33640  title		= {A Numerical Approach to Optimization Problems with Variational Inequality
33641		  Constraints},
33642  journal	= {Mathematical Programming},
33643  year		= {1995},
33644  volume	= {68},
33645  pages		= {105--130}
33646}
33647
33648@Article{	  outrata:necessary,
33649  author	= {J. V. Outrata},
33650  title		= {On Necessary Optimality Conditions for {S}tackelberg Problems},
33651  journal	= {Journal of Optimization Theory and Applications},
33652  volume	= {76},
33653  year		= {1993},
33654  pages		= {305--320}
33655}
33656
33657@Article{	  outrata:numerical,
33658  author	= {J. V. Outrata},
33659  title		= {On the Numerical Solution of a Class of {S}tackelberg Problems},
33660  journal	= {Zeitschrift f{\"{u}}r Operations Research},
33661  volume	= {4},
33662  year		= {1990},
33663  pages		= {255--278}
33664}
33665
33666@Article{	  outrata:optimization,
33667  author	= {J. V. Outrata},
33668  title		= {On Optimization Problems with Variational Inequality Constraints},
33669  journal	= {SIAM Journal on Optimization},
33670  volume	= {4},
33671  year		= {1994},
33672  pages		= {340--357}
33673}
33674
33675@Article{	  paige.saunders:lsqr,
33676  author	= {C. C. Paige and M. A. Saunders},
33677  title		= {{LSQR}: An Algorithm for Sparse Linear Equations and Sparse Least Squares},
33678  journal	= {{ACM} Transactions on Mathematical Software},
33679  year		= {1982},
33680  volume	= {8},
33681  pages		= {43--71}
33682}
33683
33684@Article{	  paige.saunders:solution,
33685  author	= {C. C. Paige and M. A. Saunders},
33686  title		= {Solution of Sparse Indefinite Systems of Linear Equations},
33687  journal	= {SIAM Journal on Numerical Analysis},
33688  year		= {1975},
33689  volume	= {12},
33690  pages		= {617--629}
33691}
33692
33693@Article{	  palacios-gomez.lasdon.ea:nonlinear,
33694  author	= {F. Palacios--Gomez and L. Lasdon and M. Engquist},
33695  title		= {Nonlinear Optimization by Successive Linear Programming},
33696  journal	= {Management Science},
33697  year		= {1982},
33698  volume	= {28},
33699  pages		= {1106--1120}
33700}
33701
33702@Article{	  palomares.mangasarian:superlinearly,
33703  author	= {U. M. Garcia Palomares and O. L. Mangasarian},
33704  title		= {Superlinearly Convergent {Q}uasi--{N}ewton Algorithms for Nonlinearly Constrained
33705		  Optimization Problems},
33706  journal	= {Mathematical Programming},
33707  year		= {1976},
33708  volume	= {11},
33709  pages		= {1--13}
33710}
33711
33712@Article{	  panagiotopoulos.al-fahed:robot,
33713  author	= {P. D. Panagiotopoulos and A. M. Al-Fahed},
33714  title		= {Robot Hand Grasping and Related Problems: Optimal Contol and Identification},
33715  journal	= {The International Journal of Robotics Research},
33716  year		= {1994},
33717  volume	= {13},
33718  pages		= {127--136}
33719}
33720
33721@Book{		  panagiotopoulos:hemivariational,
33722  author	= {P. D. Panagiotopoulos},
33723  title		= {Hemivariational Inequalities},
33724  publisher	= {Springer-Verlag},
33725  address	= {Berlin},
33726  year		= {1993}
33727}
33728
33729@Book{		  panagiotopoulos:inequality,
33730  author	= {P. D. Panagiotopoulos},
33731  title		= {Inequality Problems in Mechanics and Applications},
33732  publisher	= {Birkh{\"{a}}user},
33733  address	= {Boston},
33734  year		= {1985}
33735}
33736
33737@Article{	  pang.chan:iterative,
33738  author	= {J. S. Pang and D. Chan},
33739  title		= {Iterative Methods for Variational and Complementarity Problems},
33740  journal	= {Mathematical Programming},
33741  year		= {1982},
33742  volume	= {24},
33743  pages		= {284--313}
33744}
33745
33746@Article{	  pang.gabriel:nesqp,
33747  author	= {J. S. Pang and S. A. Gabriel},
33748  title		= {{NE/SQP}: {A} Robust Algorithm for the Nonlinear Complementarity Problem},
33749  journal	= {Mathematical Programming},
33750  year		= {1993},
33751  volume	= {60},
33752  pages		= {295--338}
33753}
33754
33755@Article{	  pang.han.ea:minimization,
33756  author	= {J. S. Pang and S.--P. Han and N. Rangaraj},
33757  title		= {Minimization of Locally {L}ipschitzian Functions},
33758  journal	= {SIAM Journal on Optimization},
33759  year		= {1991},
33760  volume	= {1},
33761  pages		= {57--82}
33762}
33763
33764@Article{	  pang.qi:nonsmooth,
33765  author	= {J. S. Pang and L. Qi},
33766  title		= {Nonsmooth Equations: Motivation and Algorithms},
33767  journal	= {SIAM Journal on Optimization},
33768  year		= {1993},
33769  volume	= {3},
33770  pages		= {443--465}
33771}
33772
33773@Article{	  pang.trinkle.ea:complementarity,
33774  author	= {J. S. Pang and J. C. Trinkle and G. Lo},
33775  title		= {A Complementarity Approach to a Quasistatic Multi-Rigid-Body Contact Problem},
33776  journal	= {Computational Optimization and Applications},
33777  volume	= {5},
33778  pages		= {97--138},
33779  year		= {1996}
33780}
33781
33782@Article{	  pang.trinkle:complementarity,
33783  author	= {J. S. Pang and J. C. Trinkle},
33784  title		= {Complementarity Formulations and Existence of Solutions of Multi-Rigid-Body
33785		  Contact Problems with {C}oulomb Friction},
33786  year		= {1996},
33787  journal	= {Mathematical Programming},
33788  volume	= {73},
33789  pages		= {199--226}
33790}
33791
33792@TechReport{	  pang.wang:embedding,
33793  author	= {J. S. Pang and Z. P. Wang},
33794  title		= {Embedding Methods for Variational Inequality and Nonlinear Complementarity
33795		  Problems},
33796  institution	= {Department of Mathematical Sciences, The Johns Hopkins University},
33797  year		= {1990},
33798  address	= {Baltimore, Maryland}
33799}
33800
33801@TechReport{	  pang.yang:parallel,
33802  author	= {J. S. Pang and J. M. Yang},
33803  title		= {Parallel {N}ewton Methods for the Nonlinear Complementarity Problem},
33804  institution	= {Department of Mathematical Sciences, The Johns Hopkins University},
33805  year		= {1987},
33806  address	= {Baltimore, Maryland},
33807  type		= {Manuscript}
33808}
33809
33810@Article{	  pang.yu:linearized,
33811  author	= {J. S. Pang and C. S. Yu},
33812  title		= {Linearized Simplicial Decomposition Methods for Computing Traffic Equilibria on
33813		  Networks},
33814  journal	= {Networks},
33815  volume	= {14},
33816  pages		= {427--438},
33817  year		= {1984}
33818}
33819
33820@Article{	  pang:b-differentiable,
33821  author	= {J. S. Pang},
33822  title		= {A {B}--Differentiable Equation Based, Globally and Locally Quadratically
33823		  Convergent Algorithm for Nonlinear Programs, Complementarity and Variational
33824		  Inequality Problems},
33825  journal	= {Mathematical Programming},
33826  year		= {1991},
33827  volume	= {51},
33828  pages		= {101--132}
33829}
33830
33831@InCollection{	  pang:complementarity,
33832  author	= {J. S. Pang},
33833  title		= {Complementarity Problems},
33834  booktitle	= {Handbook in Global Optimization},
33835  publisher	= {Kluwer Academic Publishers},
33836  year		= {1994},
33837  editor	= {R. Horst and P. Pardalos},
33838  address	= {Boston}
33839}
33840
33841@Article{	  pang:convergence,
33842  author	= {J. S. Pang},
33843  title		= {On the Convergence of a Basic Iterative Method for the Implicit Complementarity
33844		  Problem},
33845  journal	= {Journal of Optimization Theory and Applications},
33846  year		= {1982},
33847  volume	= {37},
33848  pages		= {149--162}
33849}
33850
33851@Article{	  pang:convergence*1,
33852  author	= {J. S. Pang},
33853  title		= {Convergence of Splitting and {N}ewton Methods for Complementarity Problems: An
33854		  Application of some Sensitivity Results},
33855  journal	= {Mathematical Programming},
33856  year		= {1993},
33857  volume	= {58},
33858  pages		= {149--160}
33859}
33860
33861@Article{	  pang:inexact,
33862  author	= {J. S. Pang},
33863  title		= {Inexact {N}ewton Methods for the Nonlinear Complementarity Problem},
33864  journal	= {Mathematical Programming},
33865  year		= {1986},
33866  volume	= {36},
33867  pages		= {54--71}
33868}
33869
33870@Article{	  pang:more,
33871  author	= {J. S. Pang},
33872  title		= {More Results on the Convergence of Iterative Methods for the Symmetric Linear
33873		  Complementarity Problem},
33874  journal	= {Journal of Optimization Theory and Applications},
33875  year		= {1986},
33876  volume	= {49},
33877  pages		= {107--134}
33878}
33879
33880@Article{	  pang:more*1,
33881  author	= {J. S. Pang},
33882  title		= {More Results on the Convergence of Iterative Methods for Symmetric Linear
33883		  Complementarity Problems},
33884  journal	= {Journal of Optimization Theory and Applications},
33885  year		= {1986},
33886  volume	= {49},
33887  pages		= {107--134}
33888}
33889
33890@Article{	  pang:necessary,
33891  author	= {J. S. Pang},
33892  title		= {Necessary and Sufficient Conditions for the Convergence of Iterative Methods for
33893		  the Linear Complementarity Problem},
33894  journal	= {Journal of Optimization Theory and Applications},
33895  year		= {1984},
33896  volume	= {42},
33897  pages		= {1--17}
33898}
33899
33900@Article{	  pang:newtons,
33901  author	= {J. S. Pang},
33902  title		= {{N}ewton's Method for {B}--Differentiable Equations},
33903  journal	= {Mathematics of Operations Research},
33904  year		= {1990},
33905  volume	= {15},
33906  pages		= {311--341}
33907}
33908
33909@Article{	  pang:posteriori,
33910  author	= {J. S. Pang},
33911  title		= {A Posteriori Error Bound for the Linearly--Constrained Variational Inequality
33912		  Problem},
33913  journal	= {Mathematics of Operations Research},
33914  year		= {1987},
33915  volume	= {12},
33916  pages		= {474--484}
33917}
33918
33919@Article{	  pantoja.mayne:sequential,
33920  author	= {J. F. A. D. Pantoja and D. Q. Mayne},
33921  title		= {Sequential Quadratic Programming Algorithm for Discrete Optimal Control Problems
33922		  with Control Inequality Constraints},
33923  journal	= {International Journal on Control},
33924  year		= {1991},
33925  volume	= {53},
33926  pages		= {823--836}
33927}
33928
33929@Book{		  papadimitriou.steiglitz:combinatorial,
33930  author	= {C. H. Papadimitriou and K. Steiglitz},
33931  title		= {Combinatorial Optimization: Algorithms and Complexity},
33932  year		= {1982},
33933  publisher	= {Prentice-Hall, Inc},
33934  address	= {Englewood Cliffs, New Jersey}
33935}
33936
33937@Article{	  papanikolau.mackie.ea:investigation,
33938  author	= {N. Papanikolaou and T. R. Mackie and C. Meger-Wells and M. Gehring and P.
33939		  Reckwerdt},
33940  title		= {Investigation of the convolution method for polyenergetic spectra},
33941  journal	= {Medical Physics},
33942  year		= {1993},
33943  volume	= {20},
33944  number	= {5},
33945  pages		= {1327--1336}
33946}
33947
33948@Article{	  parisot:resolution,
33949  author	= {G. R. Parisot},
33950  title		= {{R}\'{e}solution Num\'{e}rique Approach\'{e}e du Probl\`{e}me de Programmation
33951		  Lin\'{e}aire par Application de la Programmation Logarithmique},
33952  journal	= {Revue Fran\c{c}aise Recherche Op\'{e}rationnelle},
33953  year		= {1961},
33954  volume	= {20},
33955  pages		= {227--259}
33956}
33957
33958@Article{	  parker.cave.ea:comparison,
33959  author	= {L. R. Parker and M. R. Cave and R. M. Barnes},
33960  title		= {Comparison of Simplex Algorithms},
33961  journal	= {Analytica Chimica Acta},
33962  year		= {1985},
33963  volume	= {175},
33964  pages		= {231--237}
33965}
33966
33967@InProceedings{	  parker:optimal,
33968  author	= {D. Parker},
33969  title		= {Optimal Algorithms for Adaptive Networks: Second Order Direct Propagation, and
33970		  Second Order Hebbian Learning},
33971  booktitle	= {Proceedings of the IEEE First International Conference on Neural Networks: Volume
33972		  II},
33973  year		= {1987},
33974  address	= {San Diego:IEEE},
33975  pages		= {593--600}
33976}
33977
33978@Book{		  pascali.sburlan:nonlinear,
33979  author	= {D. Pascali and S. Sburlan},
33980  title		= {Nonlinear Mappings of Monotone Type},
33981  publisher	= {Editura Academeie},
33982  year		= {1978}
33983}
33984
33985@Article{	  passty:ergodic,
33986  author	= {G. B. Passty},
33987  title		= {Ergodic convergence to a zero of the sum of monotone operators in {H}ilbert
33988		  space},
33989  journal	= {Journal of Mathematical Analysis and Applications},
33990  year		= {1979},
33991  volume	= {72},
33992  pages		= {383--390}
33993}
33994
33995@Article{	  peaceman.rachford:numerical,
33996  author	= {D. W. Peaceman and H. H. Rachford},
33997  title		= {The numerical solution of parabolic and elliptic differential equations},
33998  journal	= {SIAM Journal},
33999  year		= {1955},
34000  volume	= {3},
34001  pages		= {28--41}
34002}
34003
34004@Book{		  peck.tiesberg:global,
34005  author	= {S. Peck and T. Tiesberg},
34006  title		= {Global Warming Uncertainties and the Value of Information: An Analysis Using
34007		  {CETA}},
34008  publisher	= {The Electric Power Institute},
34009  year		= {1992},
34010  address	= {Paolo Alto CA}
34011}
34012
34013@TechReport{	  peng:convexity,
34014  author	= {J. -M. Peng},
34015  title		= {The Convexity of the Implicit {L}agrangian},
34016  institution	= {State Key Laboratory of Scientific and Engineering Computing, Academic Sinica},
34017  year		= {1995},
34018  type		= {Technical Report},
34019  address	= {Beijing}
34020}
34021
34022@Article{	  peng:equivalence,
34023  author	= {J. -M. Peng},
34024  title		= {Equivalence of Variational Inequality Problems to Unconstrained Optimization},
34025  journal	= {Mathematical Programming},
34026  year		= {1997},
34027  volume	= {78},
34028  pages		= {347--356}
34029}
34030
34031@Article{	  pennisi:taking,
34032  author	= {E. Pennisi},
34033  title		= {Taking a structured approach to understanding proteins},
34034  journal	= {Science},
34035  year		= {1998},
34036  volume	= {279},
34037  pages		= {978--979}
34038}
34039
34040@Article{	  penot:regularity,
34041  author	= {J. P. Penot},
34042  title		= {On regularity conditions in mathematical programming},
34043  journal	= {Mathematical Programming Study},
34044  year		= {1982},
34045  volume	= {17},
34046  pages		= {28--66}
34047}
34048
34049@Book{		  perez:principles,
34050  author	= {C. A. Perez and L. W. Brady},
34051  title		= {Principles and practice of radiotherapy},
34052  publisher	= {Lippincott-Raven},
34053  year		= {1998},
34054  address	= {Philadelphia},
34055  edition	= {3rd}
34056}
34057
34058@Article{	  perroni.rutherford:international,
34059  author	= {C. Perroni and T. Rutherford},
34060  title		= {International Trade in Carbon Emission Rights and Basic Materials: General
34061		  Equilibrium Calculations for 2020},
34062  journal	= {Scandinavian Journal of Economics},
34063  year		= {1993}
34064}
34065
34066@Article{	  perroni.rutherford:regular,
34067  author	= {C. Perroni and T. Rutherford},
34068  title		= {Regular Flexibility of Nested {CES} Functions},
34069  journal	= {European Economic Review},
34070  year		= {1995},
34071  volume	= {39},
34072  pages		= {335--343}
34073}
34074
34075@InCollection{	  perroni.wigle:environmental,
34076  author	= {C. Perroni and R. M. Wigle},
34077  title		= {Environmental Policy Modeling},
34078  booktitle	= {Global Trade Analysis: Modeling and Applications},
34079  publisher	= {Cambridge University Press},
34080  year		= {1996},
34081  editor	= {T. Hertel}
34082}
34083
34084@Article{	  peterson:review,
34085  author	= {D. W. Peterson},
34086  title		= {A Review of Constraint Qualifications in Finite--Dimensional Spaces},
34087  journal	= {SIAM Review},
34088  year		= {1973},
34089  volume	= {15},
34090  pages		= {639--654}
34091}
34092
34093@PhDThesis{	  petersson:optimization,
34094  author	= {J. Petersson},
34095  title		= {Optimization of Structures in Unilateral Contact},
34096  type		= {{L}ink{\"o}ping Studies in Science and Technology, Dissertations},
34097  number	= {397},
34098  school	= {Division of Mechanics, Department of Mechanical Engineering, Link{\"o}ping
34099		  University},
34100  address	= {Link{\"o}ping, Sweden},
34101  year		= {1995}
34102}
34103
34104@Book{		  petri:modelling,
34105  author	= {P. Petri},
34106  title		= {Modelling {J}apanese--{A}merican Trade, {A} Study of Asymmetric Interdependence},
34107  publisher	= {Harvard University Press},
34108  year		= {1984}
34109}
34110
34111@InProceedings{	  petrzykowski:application,
34112  author	= {T. Petrzykowski},
34113  title		= {Application of the Steepest Ascent Method to Concave Programming},
34114  booktitle	= {Proceedings of the {IFIPS} Congress, Munich, 1962},
34115  year		= {1962},
34116  publisher	= {North--Holland},
34117  address	= {Amsterdam},
34118  pages		= {185--189}
34119}
34120
34121@InProceedings{	  pettey.leuze.ea:parallel,
34122  crossref	= {grefenstette:genetic},
34123  author	= {C. C. Pettey and M. R. Leuze and J. J. Grefenstette},
34124  title		= {A Parallel Genetic Algorithm},
34125  pages		= {155--161}
34126}
34127
34128@InProceedings{	  pettey.leuze:theoretical,
34129  crossref	= {schaeffer:third},
34130  author	= {C. C. Pettey and M. R. Leuze},
34131  title		= {A Theoretical Investigation of a Parallel Genetic Algorithm},
34132  pages		= {398--405}
34133}
34134
34135@Book{		  pfeiffer.glocker:multibody,
34136  author	= {F. Pfeiffer and C. Glocker},
34137  title		= {Multibody Dynamics with Unilateral Contact},
34138  year		= {1996},
34139  publisher	= {John Wiley \& Sons}
34140}
34141
34142@TechReport{	  pierro.iusem:convergence,
34143  author	= {A. R. de Pierro and A. N. Iusem},
34144  title		= {Convergence Properties of Iterative Methods for Symmetric Positive Semidefinite
34145		  Linear Complementarity Problems},
34146  institution	= {Instituto de Matematica, Elasticita e Ciencia da Computacao},
34147  year		= {1990},
34148  address	= {Universidade Estadual de Campinas, CP 6065, Campinas, 13081, SP, Brazil}
34149}
34150
34151@InCollection{	  pillo.grippo.ea:class,
34152  author	= {G. Di Pillo and L. Grippo and F. Lampariello},
34153  title		= {A Class of Methods for the Solution of Optimization Problems with Inequalities},
34154  booktitle	= {System Modelling and Optimization},
34155  year		= {1981},
34156  editor	= {R. F. Drenick and F. Kozin},
34157  publisher	= {Springer-Verlag},
34158  address	= {Berlin}
34159}
34160
34161@Article{	  pillo.grippo:augmented,
34162  author	= {G. Di Pillo and L. Grippo},
34163  title		= {An Augmented {L}agrangian for Inequality Constraints in Nonlinear Programming
34164		  Problems},
34165  journal	= {Journal of Optimization Theory and Applications},
34166  year		= {1982},
34167  volume	= {36},
34168  pages		= {495--519}
34169}
34170
34171@Article{	  pillo.grippo:class,
34172  author	= {G. Di Pillo and L. Grippo},
34173  title		= {A New Class of Augmented {L}agrangians in Nonlinear Programming},
34174  journal	= {SIAM Journal on Control and Optimization},
34175  year		= {1979},
34176  volume	= {17},
34177  pages		= {618--628}
34178}
34179
34180@Article{	  pillo.grippo:continuously,
34181  author	= {G. Di Pillo and L. Grippo},
34182  title		= {A Continuously Differentiable Exact Penalty Function for Nonlinear Programming
34183		  Problems with Inequality Constraints},
34184  journal	= {SIAM Journal on Control and Optimization},
34185  year		= {1985},
34186  volume	= {23},
34187  pages		= {72--84}
34188}
34189
34190@Article{	  pillo.grippo:exact,
34191  author	= {G. Di Pillo and L. Grippo},
34192  title		= {An Exact Penalty Method with Global Convergence Properties for Nonlinear
34193		  Programming Problems},
34194  journal	= {Mathematical Programming},
34195  year		= {1986},
34196  volume	= {36},
34197  pages		= {1--18}
34198}
34199
34200@InProceedings{	  plambeck.fu.ea:throughput,
34201  author	= {E. L. Plambeck and B. --R. Fu and S.M. Robinson and R. Suri},
34202  title		= {Throughput Optimization in Tandem Production Lines via Nonsmooth Programming},
34203  booktitle	= {Proceedings of the 1993 Summer Computer Simulation Conference},
34204  editor	= {J. Schoen},
34205  year		= {1993},
34206  publisher	= {Society for Computer Simulation},
34207  address	= {San Diego, CA},
34208  pages		= {70--75}
34209}
34210
34211@Article{	  plambeck.fu.ea:sample-path,
34212  author	= {E. L. Plambeck and B. --R. Fu and S.M. Robinson and R. Suri},
34213  title		= {Sample-Path Optimization of Convex Stochastic Performance Functions},
34214  journal	= {Mathematical Programming},
34215  year		= {1996},
34216  volume	= {75},
34217  pages		= {137--176}
34218}
34219
34220@InProceedings{	  platt:sequential,
34221  author	= {J. Platt},
34222  title		= {Sequential Minimal Optimization: A Fast Algorithm for Training Support Vector
34223		  Machines},
34224  editor	= {Bernhard {Sch\"olkopf} and Christopher J. C. Burges and Alexander J. Smola},
34225  booktitle	= {Advances in Kernel Methods {-} Support Vector Learning},
34226  publisher	= {MIT Press},
34227  pages		= {185-208},
34228  year		= {1999}
34229}
34230
34231@Book{		  poincare:sur,
34232  author	= {H. Poincar\'{e}},
34233  title		= {Sur les Courbes {D}\'{e}fin\'{e}es par une \'{E}quation Differentielle {I}},
34234  year		= {1881},
34235  publisher	= {Oeuvres I},
34236  address	= {Gauthier--Villars, Paris}
34237}
34238
34239@Article{	  polak.ribiere:note,
34240  author	= {E. Polak and G. Ribi\`{e}re},
34241  title		= {Note sur la convergence de m\'{e}thodes de directions conjug\'{e}es},
34242  journal	= {Revue Francaise Informatique et Recherche Op\'{e}rationelle},
34243  year		= {1969},
34244  volume	= {16-R1},
34245  pages		= {35--43}
34246}
34247
34248@Book{		  polak:computational,
34249  author	= {E. Polak},
34250  title		= {Computational Methods in Optimization; {A} Unified Approach},
34251  year		= {1971},
34252  publisher	= {Academic Press},
34253  address	= {New York}
34254}
34255
34256@Article{	  polak:global,
34257  author	= {E. Polak},
34258  title		= {On the Global Stabilization of Locally Convergent Algorithms},
34259  journal	= {Automatica},
34260  year		= {1976},
34261  volume	= {12},
34262  pages		= {337--349}
34263}
34264
34265@Article{	  polyak.tretiyakov:concerning,
34266  author	= {B. T. Polyak and N. V. Tretiyakov},
34267  title		= {Concerning an Iterative Method for Linear Programming and its Economic
34268		  Interpretation},
34269  journal	= {Economics and Mathematical Methods},
34270  year		= {1972},
34271  volume	= {8},
34272  pages		= {740--751},
34273  note		= {(Russian)}
34274}
34275
34276@Article{	  polyak.tretiyakov:method,
34277  author	= {B. T. Polyak and N. V. Tretiyakov},
34278  title		= {The Method of Penalty Estimates for Conditional Extremeum Problems},
34279  journal	= {U.S.S.R. Computational Mathematics and Mathematical Physics},
34280  year		= {1973},
34281  volume	= {13},
34282  pages		= {42--58}
34283}
34284
34285@Article{	  polyak:conjugate,
34286  author	= {B. T. Polyak},
34287  title		= {The conjugate gradient method in extremal problems},
34288  journal	= {USSR Computational Mathematics and Mathematical Physics},
34289  year		= {1969},
34290  volume	= {9},
34291  pages		= {94--112},
34292  note		= {Translated from Russian}
34293}
34294
34295@Book{		  polyak:introduction,
34296  author	= {B. T. Polyak},
34297  title		= {Introduction to Optimization},
34298  year		= {1987},
34299  publisher	= {Optimization Software, Inc.},
34300  address	= {Publications Division, New York}
34301}
34302
34303@Unpublished{	  polyak:methods,
34304  author	= {R. A. Polyak},
34305  title		= {On the Methods of Centers},
34306  year		= {1988},
34307  note		= {Unpublished manuscript}
34308}
34309
34310@Unpublished{	  polyak:sharp,
34311  author	= {B. T. Polyak},
34312  title		= {Sharp Minima},
34313  year		= {1979},
34314  note		= {A Talk given at the {IIASA} Workshop on Generalized {L}agrangians and their
34315		  Applications, {IIASA}, Laxenburg, Austria}
34316}
34317
34318@InProceedings{	  polyak:smooth,
34319  author	= {R. A. Polyak},
34320  title		= {Smooth Optimization Methods for Solving Nonlinear Extremal and Equilibrium
34321		  Problems with Constraints},
34322  booktitle	= {Abstracts of the Papers of the 11th International Symposium on Mathematical
34323		  Programming},
34324  year		= {1982},
34325  address	= {Bonn}
34326}
34327
34328@Article{	  polychronopoulos.tsitsiklis:analysis,
34329  author	= {G. H. Polychronopoulos and J. N. Tsitsiklis},
34330  title		= {Stochastic Shortest Path Problems with Recourse},
34331  journal	= {Networks},
34332  year		= {1996},
34333  volume	= {27},
34334  pages		= {133--143}
34335}
34336
34337@TechReport{	  potra.bonnans:infeasible,
34338  author	= {F. A. Potra and J. F. Bonnans},
34339  title		= {Infeasible path following algorithms for linear complementarity problems},
34340  institution	= {INRIA},
34341  year		= {1994},
34342  month		= dec,
34343  number	= {RR--2445},
34344  type		= {Research Report}
34345}
34346
34347@Article{	  potra.sheng:large-step,
34348  author	= {F. A. Potra and R. Sheng},
34349  title		= {A Large--Step Infeasible--Interior--Point Method for the ${P}_*$--Matrix {LCP}},
34350  year		= {1997},
34351  journal	= {SIAM Journal on Optimization},
34352  volume	= {7},
34353  pages		= {318--335}
34354}
34355
34356@Article{	  potra:infeasible,
34357  author	= {F. A. Potra},
34358  title		= {An infeasible interior-point predictor-corrector algorithm for linear
34359		  programming},
34360  journal	= {SIAM Journal on Optimization},
34361  year		= {1996},
34362  volume	= {6},
34363  pages		= {19--32}
34364}
34365
34366@TechReport{	  potra:onl,
34367  author	= {F. A. Potra},
34368  title		= {An ${O}(n{L})$ infeasible--interior--point algorithm for {LCP} with quadratic
34369		  convergence.},
34370  institution	= {Department of Mathematics, The University of Iowa},
34371  address	= {Iowa City, Iowa},
34372  year		= {1994},
34373  number	= {50},
34374  type		= {Reports on Computational Mathematics}
34375}
34376
34377@TechReport{	  potra:predictor-corrector,
34378  author	= {F. A. Potra},
34379  title		= {On a predictor-corrector method for solving linear programs from infeasible
34380		  starting points},
34381  institution	= {Department of Mathematics, University of Iowa},
34382  address	= {Iowa City, Iowa},
34383  year		= {1992},
34384  number	= {34},
34385  type		= {Reports on Computational Mathematics}
34386}
34387
34388@TechReport{	  potra:quadratically,
34389  author	= {F. A. Potra},
34390  title		= {A quadratically convergent infeasible interior-point algorithm for linear
34391		  programming},
34392  institution	= {Department of Mathematics, University of Iowa},
34393  year		= {1992},
34394  number	= {28},
34395  address	= {Iowa City, Iowa},
34396  month		= jul
34397}
34398
34399@InCollection{	  powell:convergence,
34400  author	= {M. J. D. Powell},
34401  title		= {The Convergence of Variable Metric Methods for Nonlinearly Constrained
34402		  Optimization Calculations},
34403  crossref	= {mangasarian.meyer.ea:nonlinear*3},
34404  pages		= {27--63}
34405}
34406
34407@InProceedings{	  powell:direct,
34408  author	= {M. J. D. Powell},
34409  title		= {A Direct Search Optimization Method that Models the Objective and Constraint
34410		  Functions by Linear Interpolation},
34411  booktitle	= {Advances in Optimization and Numerical Analysis, Proceedings of the Sixth
34412		  Workshop on Optimization and Numerical Analysis, Oaxaca, Mexico},
34413  volume	= {275},
34414  year		= {1994},
34415  publisher	= {Kluwer Academic Publishers},
34416  pages		= {51--67},
34417  address	= {Dordrecht, The Netherlands}
34418}
34419
34420@Article{	  powell:efficient,
34421  author	= {M. J. D. Powell},
34422  title		= {An Efficient Method for Finding the Minimum of a Function of Several Variables
34423		  without Calculating Derivatives},
34424  journal	= {Computer Journal},
34425  year		= {1964},
34426  volume	= {17},
34427  pages		= {155--162}
34428}
34429
34430@InCollection{	  powell:general,
34431  author	= {M. J. D. Powell},
34432  title		= {General Algorithm for Discrete Nonlinear Approximation Calculations},
34433  booktitle	= {Approximation Theory IV},
34434  year		= {1983},
34435  editor	= {L. L. Schumaker C. K. Chui and J. D. Ward},
34436  publisher	= {Academic Press},
34437  address	= {New York},
34438  pages		= {187--218}
34439}
34440
34441@InCollection{	  powell:hybrid,
34442  author	= {M. J. D. Powell},
34443  title		= {A hybrid method for nonlinear equations},
34444  booktitle	= {Numerical Methods for Nonlinear Algebraic Equations},
34445  publisher	= {Gordon and Breach},
34446  year		= {1970},
34447  editor	= {P. Rabinowitz}
34448}
34449
34450@TechReport{	  powell:karmarkars,
34451  author	= {M. J. D. Powell},
34452  title		= {{K}armarkar's algorithm: a view from nonlinear programming},
34453  institution	= {Department of Applied Mathematics and Theoretical Physics, University of
34454		  Cambridge},
34455  year		= {1989},
34456  month		= nov,
34457  address	= {Cambridge, CB3 9EW, England}
34458}
34459
34460@InCollection{	  powell:method,
34461  author	= {M. J. D. Powell},
34462  title		= {A Method for Nonlinear Constraints in Minimization Problems},
34463  booktitle	= {Optimization},
34464  year		= {1969},
34465  editor	= {R. Fletcher},
34466  publisher	= {Academic Press},
34467  address	= {London},
34468  pages		= {283--298}
34469}
34470
34471@Book{		  prekopa:stochastic,
34472  author	= {A. Pr{\'{e}}kopa},
34473  title		= {Stochastic Programming},
34474  publisher	= {Kluwer Academic Publishers},
34475  year		= {1995},
34476  address	= {Dordrecht, The Netherlands}
34477}
34478
34479@Book{		  press.flannery.ea:numerical,
34480  author	= {William H. Press and Brian P. Flannery and Saul A. Teukolsky and William T.
34481		  Vetterling},
34482  title		= {Numerical Recipes : the Art of Scientific Computing},
34483  publisher	= {Cambridge University Press},
34484  year		= {1988}
34485}
34486
34487@Article{	  pruyne.livny:interfacing,
34488  author	= {J. Pruyne and M. Livny},
34489  title		= {Interfacing {C}ondor and {PVM} to Harness the Cycles of Workstation Clusters},
34490  journal	= {Journal on Future Generations of Computer Systems},
34491  volume	= {12},
34492  year		= {1996},
34493  pages		= {67--85}
34494}
34495
34496@InCollection{	  pruyne.livny:parallel,
34497  author	= {J. Pruyne and M. Livny},
34498  title		= {Parallel Processing on Dynamic Resources using {CARMI}},
34499  booktitle	= {Job Scheduling Strategies for Parallel Processing},
34500  publisher	= {Springer-Verlag},
34501  year		= {1995},
34502  editor	= {D. G. Feitelson and L. Rudolph},
34503  volume	= {949},
34504  series	= {Lecture Notes in Computer Science}
34505}
34506
34507@PhDThesis{	  pruyne:resource,
34508  author	= {J. C. Pruyne},
34509  title		= {Resource Management Services for Parallel Applications},
34510  school	= {University of Wisconsin--Madison},
34511  year		= {1996},
34512  address	= {Madison, Wisconsin}
34513}
34514
34515@Book{		  pshenichny.danilin:numerical,
34516  author	= {B. N. Pshenichny and Yu. M. Danilin},
34517  title		= {Numerical Methods in Extremal Problems},
34518  year		= {1978},
34519  publisher	= {MIR Publishers},
34520  address	= {Moscow}
34521}
34522
34523@TechReport{	  qi.chen:globally,
34524  author	= {L. Qi and X. Chen},
34525  title		= {A Globally Convergent Successive Approximation Method for Nonsmooth Equations},
34526  institution	= {School of Mathematics, University of New South Wales},
34527  year		= {1993},
34528  annote	= {revised},
34529  address	= {Sydney}
34530}
34531
34532@Article{	  qi.jiang:semismooth,
34533  author	= {L. Qi and H. Jiang},
34534  title		= {Semismooth {K}arush--{K}uhn--{T}ucker Equations and Convergence Analysis of
34535		  {N}ewton Methods and Quasi--{N}ewton Methods for Solving these Equations},
34536  journal	= {Mathematics of Operations Research},
34537  volume	= {22},
34538  pages		= {301--325},
34539  year		= {1997}
34540}
34541
34542@TechReport{	  qi.peng:unconstrained,
34543  author	= {H. -D. Qi and J. -M. Peng},
34544  title		= {A New Unconstrained Optimization Approach for Nonlinear Complementarity
34545		  Problems},
34546  institution	= {State Key Laboratory of Scientific and Engineering Computing, Academic Sinica},
34547  year		= {1996},
34548  type		= {Technical Report},
34549  address	= {Beijing}
34550}
34551
34552@InCollection{	  qi.sun:survey,
34553  author	= {L. Qi and D. Sun},
34554  title		= {A Survey of Some Nonsmooth Equations and Smoothing {N}ewton Methods},
34555  year		= {1999},
34556  editor	= {A. Eberhard and B. Glover and R. Hill and D. Ralph},
34557  booktitle	= {Progress in Optimization},
34558  pages		= {121--146},
34559  series	= {Applied Optimization},
34560  volume	= {30},
34561  publisher	= {Kluwer Academic Publishers},
34562  address	= {Dordrecht}
34563}
34564
34565@Article{	  qi.sun:nonsmooth,
34566  author	= {L. Qi and J. Sun},
34567  title		= {A Nonsmooth Version of {N}ewton's Method},
34568  journal	= {Mathematical Programming},
34569  year		= {1993},
34570  volume	= {58},
34571  pages		= {353--368}
34572}
34573
34574@Article{	  qi:convergence,
34575  author	= {L. Qi},
34576  title		= {Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations},
34577  journal	= {Mathematics of Operations Research},
34578  year		= {1993},
34579  volume	= {18},
34580  pages		= {227--244}
34581}
34582
34583@TechReport{	  qi:regular,
34584  author	= {L. Qi},
34585  title		= {Regular pseudo-smooth {NCP} and {BVIP} functions and globally and quadratically
34586		  convergent generalized {N}ewton methods for complementarity and variational
34587		  inequality problems},
34588  institution	= {School of Mathematics, University of New South Wales},
34589  year		= {1997},
34590  type		= {Applied Mathematics Report},
34591  number	= {AMR 97/14},
34592  address	= {Sydney, Australia}
34593}
34594
34595@Article{	  radner:competitive,
34596  author	= {R. Radner},
34597  title		= {Competitive Equilibrium under Uncertainty},
34598  journal	= {Econometrica},
34599  year		= {1968},
34600  volume	= {36},
34601  pages		= {31--58}
34602}
34603
34604@Article{	  radstrom:embedding,
34605  author	= {H. R{\aa}dstr{\"{o}}m},
34606  title		= {An embedding theorem for spaces of convex sets},
34607  journal	= {Proc. Amer. Math. Soc.},
34608  year		= {1952},
34609  volume	= {3},
34610  pages		= {165--169}
34611}
34612
34613@Article{	  raghavachari:connections,
34614  author	= {M. Raghavachari},
34615  title		= {On Connections between Zero--One Integer Programming and Concave Programming
34616		  Under Linear Constraints},
34617  journal	= {Operations Research},
34618  year		= {1969},
34619  volume	= {17},
34620  pages		= {680--684}
34621}
34622
34623@Article{	  rajan.burridge.ea:dynamics,
34624  author	= {V. T. Rajan and R. Burridge and J. T. Schwartz},
34625  title		= {Dynamics of a rigid body in frictional contact with rigid walls},
34626  journal	= {IEEE International Conference on Robotics and Automation, Raleigh NC},
34627  month		= mar,
34628  year		= {1987},
34629  pages		= {671--677}
34630}
34631
34632@Article{	  ralph:branching,
34633  author	= {D. Ralph},
34634  title		= {On Branching Numbers of Normal Manifolds},
34635  journal	= {Nonlinear Analysis, Theory, Methods and Applications},
34636  volume	= {22},
34637  pages		= {1041--1050},
34638  year		= {1994}
34639}
34640
34641@Article{	  ralph:global,
34642  author	= {D. Ralph},
34643  title		= {Global Convergence of Damped {N}ewton's Method for Nonsmooth Equations, via the
34644		  Path Search},
34645  journal	= {Mathematics of Operations Research},
34646  year		= {1994},
34647  volume	= {19},
34648  pages		= {352--389}
34649}
34650
34651@InProceedings{	  ralph:piecewise,
34652  author	= {D. Ralph},
34653  title		= {A Piecewise Sequential Quadratic Programming Method for Mathematical Programs
34654		  with Linear Complementarity Constraints},
34655  booktitle	= {Proceedings of the Seventh Conference on Computational Techniques and
34656		  Applications (CTAC95)},
34657  year		= {1996}
34658}
34659
34660@PhDThesis{	  raman:integration,
34661  author	= {R. Raman},
34662  title		= {Integration of logic and heuristic knowledge in discrete optimization techniques
34663		  for process systems.},
34664  address	= {Pittsburgh, Pennsylvania},
34665  year		= {1993},
34666  school	= {Department of Chemical Engineering, Carnegie Mellon University}
34667}
34668
34669@PhDThesis{	  rangaraj:nonsmooth,
34670  author	= {Narayan Rangaraj},
34671  title		= {Nonsmooth Optimization: Algorithms and Applications},
34672  year		= {1990},
34673  address	= {Baltimore, MD},
34674  school	= {Department of Mathematical Sciences, The Johns Hopkins University}
34675}
34676
34677@InProceedings{	  reckwerdt.mackie.ea:three-dimensional,
34678  author	= {P. J. Reckwerdt and T. R. Mackie and J. P. Balog and T. R. McNutt},
34679  title		= {Three-Dimensional Inverse Treatment Optimization for Tomotherapy},
34680  booktitle	= {Proceedings of the XII International Conference on the Use of Computers in
34681		  Radiation Therapy, Salt Lake City},
34682  year		= {1997},
34683  editor	= {D. D. Leavitt and G. Starkshall},
34684  publisher	= {Medical Physics Publishing},
34685  address	= {St. Louis, Missouri},
34686  pages		= {420--422}
34687}
34688
34689@Article{	  reid:sparsity-exploiting,
34690  author	= {J. K. Reid},
34691  title		= {A Sparsity-Exploiting Variant of the {B}artels-{G}olub Decompostion for Linear
34692		  Programming Bases},
34693  journal	= {Mathematical Programming},
34694  year		= {1982},
34695  volume	= {24},
34696  pages		= {55--69}
34697}
34698
34699@Book{		  reingold.nievergelt.ea:combinatorial,
34700  author	= {E. Reingold and J. Nievergelt and N. Deo},
34701  title		= {Combinatorial Algorithms: Theory and Practice},
34702  publisher	= {Prentice-Hall, Inc},
34703  address	= {Englewood Cliffs, New Jersey}
34704}
34705
34706@PhDThesis{	  reinoza:degree,
34707  author	= {J. A. Reinoza},
34708  title		= {A Degree for Generalized Equations},
34709  year		= {1979},
34710  address	= {Madison, Wisconsin},
34711  school	= {University of Wisconsin}
34712}
34713
34714@Article{	  reinoza:solving,
34715  author	= {A. Reinoza},
34716  title		= {Solving Generalized Equations via Homotopies},
34717  journal	= {Mathematical Programming},
34718  year		= {1985},
34719  volume	= {31},
34720  pages		= {307--320}
34721}
34722
34723@PhDThesis{	  ren:computable,
34724  author	= {J. Ren},
34725  title		= {Computable Error Bounds in Mathematical Programming},
34726  school	= {Computer Sciences Department, University of Wisconsin},
34727  year		= {1993},
34728  address	= {Madison, Wisconsin},
34729  note		= {Technical Report 1173}
34730}
34731
34732@Article{	  renegar:polynomial-time,
34733  author	= {J. Renegar},
34734  title		= {A Polynomial--Time Algorithm, based on {N}ewton's method, for Linear
34735		  Programming},
34736  journal	= {Mathematical Programming},
34737  year		= {1988},
34738  volume	= {40},
34739  pages		= {59--94}
34740}
34741
34742@Article{	  robbins.monro:stochastic,
34743  author	= {H. Robbins and S. Monro},
34744  title		= {A Stochastic Approximation Method},
34745  journal	= {Annals of Mathematical Statistics},
34746  year		= {1951},
34747  volume	= {22},
34748  pages		= {400--407}
34749}
34750
34751@Article{	  robinson:analysis,
34752  author	= {S. M. Robinson},
34753  title		= {Analysis of Sample-Path Optimization},
34754  journal	= {Mathematics of Operations Research},
34755  year		= {1996},
34756  volume	= {21},
34757  pages		= {513--528}
34758}
34759
34760@InCollection{	  robinson:bundle-based,
34761  author	= {S. M. Robinson},
34762  title		= {Bundle-Based Decomposition: Conditions for Convergence},
34763  booktitle	= {Analyse Non Lin\'{e}aire},
34764  year		= {1989},
34765  editor	= {H. Attouch and J. P. Aubin and F. Clarke and I. Ekeland},
34766  publisher	= {Gauthier-Villaars},
34767  address	= {Paris},
34768  pages		= {435--447}
34769}
34770
34771@InCollection{	  robinson:bundle-based*1,
34772  author	= {S. M. Robinson},
34773  title		= {Bundle-Based Decomposition: Description and Preliminary Results},
34774  booktitle	= {System Modeling and Optimization},
34775  year		= {1986},
34776  editor	= {A Pr\'{e}kopa and J. Szelezc\'{a}n and B. Straazicky},
34777  publisher	= {Springer-Verlag},
34778  address	= {Berlin},
34779  pages		= {751--756},
34780  volume	= {84},
34781  series	= {Lecture Notes in Control and Information Sciences}
34782}
34783
34784@Article{	  robinson:continuity,
34785  author	= {S. M. Robinson},
34786  title		= {Some Continuity Properties of Polyhedral Multifunctions},
34787  journal	= {Mathematical Programming Study},
34788  year		= {1981},
34789  volume	= {14},
34790  pages		= {206--214}
34791}
34792
34793@Article{	  robinson:extension,
34794  author	= {S. M. Robinson},
34795  title		= {Extension of {N}ewton's Method to Nonlinear Functions with Values in a Cone},
34796  journal	= {Numerische Mathematik},
34797  year		= {1972},
34798  volume	= {19},
34799  pages		= {341--347}
34800}
34801
34802@InCollection{	  robinson:generalized,
34803  crossref	= {bachem.grotschel.ea:mathematical},
34804  author	= {S. M. Robinson},
34805  title		= {Generalized Equations},
34806  pages		= {346--367}
34807}
34808
34809@Article{	  robinson:generalized*1,
34810  author	= {S. M. Robinson},
34811  title		= {Generalized Equations and their Solution: {P}art {I}: Basic Theory},
34812  journal	= {Mathematical Programming Study},
34813  year		= {1979},
34814  volume	= {10},
34815  pages		= {128--141}
34816}
34817
34818@InCollection{	  robinson:homeomorphism,
34819  author	= {S. M. Robinson},
34820  title		= {Homeomorphism Conditions for Normal Maps of Polyhedra},
34821  booktitle	= {Optimization and Nonlinear Analysis},
34822  year		= {1992},
34823  editor	= {A. Ioffe and M. Marcus and S. Reich},
34824  publisher	= {Longman},
34825  address	= {Harlow, Essex, England},
34826  pages		= {240--248},
34827  series	= {Pitman Research Notes in Mathematics Series No. 244}
34828}
34829
34830@Article{	  robinson:implicit-function,
34831  author	= {S. M. Robinson},
34832  title		= {An Implicit--Function Theorem for a Class of Nonsmooth Functions},
34833  journal	= {Mathematics of Operations Research},
34834  year		= {1991},
34835  volume	= {16},
34836  pages		= {292--309}
34837}
34838
34839@Article{	  robinson:local*1,
34840  author	= {S. M. Robinson},
34841  title		= {Local Epi--Continuity and Local Optimization},
34842  journal	= {Mathematical Programming},
34843  year		= {1987},
34844  volume	= {37},
34845  pages		= {208--222}
34846}
34847
34848@Article{	  robinson:local*2,
34849  author	= {S. M. Robinson},
34850  title		= {Local Structure of Feasible Sets in Nonlinear Programming, {P}art~{II}:
34851		  Nondegeneracy},
34852  journal	= {Mathematical Programming Study},
34853  year		= {1984},
34854  volume	= {22},
34855  pages		= {217--230}
34856}
34857
34858@Article{	  robinson:local*3,
34859  author	= {S. M. Robinson},
34860  title		= {Local Structure of Feasible Sets in Nonlinear Programming, {P}art~{III}:
34861		  Stability and Sensitivity},
34862  journal	= {Mathematical Programming Study},
34863  year		= {1987},
34864  volume	= {30},
34865  pages		= {45--66}
34866}
34867
34868@Article{	  robinson:mathematical,
34869  author	= {S. M. Robinson},
34870  title		= {Mathematical Foundations of Nonsmooth Embedding Methods},
34871  journal	= {Mathematical Programming},
34872  year		= {1990},
34873  volume	= {48},
34874  pages		= {221--229}
34875}
34876
34877@Article{	  robinson:newtons,
34878  author	= {S. M. Robinson},
34879  title		= {{N}ewton's Method for a Class of Nonsmooth Functions},
34880  journal	= {Set Valued Analysis},
34881  year		= {1994},
34882  volume	= {2},
34883  pages		= {291--305}
34884}
34885
34886@Article{	  robinson:nonsingularity,
34887  author	= {S. M. Robinson},
34888  title		= {Nonsingularity and Symmetry for Linear Normal Maps},
34889  journal	= {Mathematical Programming},
34890  year		= {1993},
34891  volume	= {62},
34892  pages		= {415--425}
34893}
34894
34895@InCollection{	  robinson:nonsmooth,
34896  author	= {S. M. Robinson},
34897  title		= {Nonsmooth Continuation for Generalized Equations},
34898  year		= {1997},
34899  pages		= {282--291},
34900  editors	= {P. Gritzmann and R. Horst and E. Sachs and R. Tichatschke},
34901  booktitle	= {Recent Advances in Optimization},
34902  series	= {Lecture Notes in Economics and Mathematical Systems},
34903  volume	= {452},
34904  publisher	= {Springer-Verlag},
34905  address	= {Heidelberg}
34906}
34907
34908@Article{	  robinson:normal,
34909  author	= {S. M. Robinson},
34910  title		= {Normal Maps Induced by Linear Transformations},
34911  journal	= {Mathematics of Operations Research},
34912  year		= {1992},
34913  volume	= {17},
34914  pages		= {691--714}
34915}
34916
34917@Article{	  robinson:normed,
34918  author	= {S. M. Robinson},
34919  title		= {Normed Convex Processes},
34920  journal	= {Transactions of the American Mathematical Society},
34921  year		= {1972},
34922  volume	= {174},
34923  pages		= {127--140}
34924}
34925
34926@Article{	  robinson:reduction,
34927  author	= {S. M. Robinson},
34928  title		= {A reduction method for variational inequalities},
34929  journal	= {Mathematical Programming},
34930  year		= {1998},
34931  volume	= {80},
34932  pages		= {161--169}
34933}
34934
34935@Article{	  robinson:regularity,
34936  author	= {S. M. Robinson},
34937  title		= {Regularity and stability for convex multivalued functions},
34938  journal	= {Mathematics of Operations Research},
34939  year		= {1976},
34940  volume	= {1},
34941  pages		= {130--143}
34942}
34943
34944@Unpublished{	  robinson:shadow,
34945  author	= {S. M. Robinson},
34946  title		= {Shadow {JUNK} for biblio file},
34947  year		= {1800}
34948}
34949
34950@Article{	  robinson:shadow*1,
34951  author	= {S. M. Robinson},
34952  title		= {Shadow Prices for Measures of Effectiveness {I}: Linear Model},
34953  journal	= {Operations Research},
34954  year		= {1993},
34955  volume	= {41},
34956  pages		= {518--535}
34957}
34958
34959@Article{	  robinson:shadow*2,
34960  author	= {S. M. Robinson},
34961  title		= {Shadow Prices for Measures of Effectiveness {II}: General Model},
34962  journal	= {Operations Research},
34963  year		= {1993},
34964  volume	= {41},
34965  pages		= {536--548}
34966}
34967
34968@Unpublished{	  robinson:stability,
34969  author	= {S. M. Robinson},
34970  title		= {Stability {JUNK} for biblio file},
34971  year		= {1800}
34972}
34973
34974@Article{	  robinson:stability*1,
34975  author	= {S. M. Robinson},
34976  title		= {Stability theory for systems of inequalities, {P}art {I}: linear systems},
34977  journal	= {SIAM Journal on Numerical Analysis},
34978  year		= {1975},
34979  volume	= {12},
34980  pages		= {754--769}
34981}
34982
34983@Article{	  robinson:stability*2,
34984  author	= {S. M. Robinson},
34985  title		= {Stability theory for systems of inequalities, {P}art {II}: Differentiable
34986		  Nonlinear Systems},
34987  journal	= {SIAM Journal on Numerical Analysis},
34988  year		= {1976},
34989  volume	= {13},
34990  pages		= {497--513}
34991}
34992
34993@Article{	  robinson:strongly,
34994  author	= {S. M. Robinson},
34995  title		= {Strongly Regular Generalized Equations},
34996  journal	= {Mathematics of Operations Research},
34997  year		= {1980},
34998  volume	= {5},
34999  pages		= {43--62}
35000}
35001
35002@Article{	  rockafellar.wets:generalized,
35003  author	= {R. T. Rockafellar and R. J.--B. Wets},
35004  title		= {Generalized Linear-Quadratic Problems of Deterministic and Stochastic Optimal
35005		  Control in Discrete Time},
35006  journal	= {SIAM Journal on Control and Optimization},
35007  year		= {1990},
35008  volume	= {28},
35009  pages		= {810--822}
35010}
35011
35012@Article{	  rockafellar.wets:lagrangian,
35013  author	= {R. T. Rockafellar and R. J.--B. Wets},
35014  title		= {A {L}agrangian Finite Generation Technique for Solving Linear-Quadratic Problems
35015		  in Stochastic Programming},
35016  journal	= {Mathematical Programming Study},
35017  year		= {1986},
35018  volume	= {28},
35019  pages		= {63--93}
35020}
35021
35022@InCollection{	  rockafellar.wets:linear-quadratic,
35023  author	= {R. T. Rockafellar and R. J.--B. Wets},
35024  title		= {Linear-Quadratic Programming Problems with Stochastic Penalties: the Finite
35025		  Generation Algorithm},
35026  booktitle	= {Stochastic Optimization},
35027  publisher	= {Springer-Verlag},
35028  year		= {1987},
35029  editor	= {V. I. Arkin and A. Shiraer and R. J.--B. Wets},
35030  series	= {Lecture Notes in Control and Information Sciences, IIASA Series No. 81},
35031  pages		= {545--560},
35032  address	= {New York, Berlin}
35033}
35034
35035@Article{	  rockafellar.wets:scenarios,
35036  author	= {R. T. Rockafellar and R. J.--B. Wets},
35037  title		= {Scenarios and Policy Aggregation in Optimization under Uncertainty},
35038  journal	= {Mathematics of Operations Research},
35039  year		= {1991},
35040  volume	= {10},
35041  pages		= {119--147}
35042}
35043
35044@InProceedings{	  rockafellar:applications,
35045  author	= {R. T. Rockafellar},
35046  title		= {New Applications of Duality in Convex Programming},
35047  booktitle	= {Proceedings of the Fourth Conference on Probability},
35048  year		= {1971},
35049  address	= {Brasov, Romania}
35050}
35051
35052@Article{	  rockafellar:augmented,
35053  author	= {R. T. Rockafellar},
35054  title		= {Augmented {L}agrange Multiplier Functions and Duality in Nonconvex Programming},
35055  journal	= {SIAM Journal on Control and Optimization},
35056  year		= {1974},
35057  volume	= {12},
35058  pages		= {268--285}
35059}
35060
35061@Article{	  rockafellar:augmented*1,
35062  author	= {R. T. Rockafellar},
35063  title		= {Augmented {L}agrangians and Applications of the Proximal Point Algorithm in
35064		  Convex Programming},
35065  journal	= {Mathematics of Operations Research},
35066  year		= {1976},
35067  volume	= {1},
35068  pages		= {97--116}
35069}
35070
35071@Article{	  rockafellar:characterization,
35072  author	= {R. T. Rockafellar},
35073  title		= {Characterization of the subdifferentials of convex functions},
35074  journal	= {Pacific Journal of Mathematics},
35075  year		= {1966},
35076  volume	= {17},
35077  number	= {3},
35078  pages		= {497--510}
35079}
35080
35081@Article{	  rockafellar:computational,
35082  author	= {R. T. Rockafellar},
35083  title		= {Computational Schemes for Large--Scale Problems in Extended Linear--Quadratic
35084		  Programming},
35085  journal	= {Mathematical Programming},
35086  year		= {1990},
35087  volume	= {48},
35088  pages		= {447--474}
35089}
35090
35091@Book{		  rockafellar:conjugate,
35092  author	= {R. T. Rockafellar},
35093  title		= {Conjugate Duality and Optimization},
35094  year		= {1974},
35095  publisher	= {SIAM},
35096  address	= {Philadelphia, Pennsylvania},
35097  volume	= {16},
35098  series	= {Conference Board of the Mathematical Sciences}
35099}
35100
35101@Book{		  rockafellar:convex,
35102  author	= {R. T. Rockafellar},
35103  title		= {Convex Analysis},
35104  year		= {1970},
35105  publisher	= {Princeton University Press},
35106  address	= {Princeton, New Jersey}
35107}
35108
35109@Article{	  rockafellar:first-,
35110  author	= {R. T. Rockafellar},
35111  title		= {First-- and Second--Order Epi--Differentiabilty in Nonlinear Programming},
35112  journal	= {Transactions of the American Mathematical Society},
35113  year		= {1988},
35114  volume	= {307},
35115  pages		= {75--108}
35116}
35117
35118@InProceedings{	  rockafellar:generalized,
35119  author	= {R. T. Rockafellar},
35120  title		= {A Generalized Approach to Linear-Quadratic Programming},
35121  booktitle	= {Proceedings of the International Conference on Numerical Optimization and
35122		  Applications},
35123  year		= {1986},
35124  pages		= {58--66},
35125  note		= {(Xi'an, China)}
35126}
35127
35128@InProceedings{	  rockafellar:generalized*1,
35129  crossref	= {bachem.grotschel.ea:mathematical},
35130  author	= {R. T. Rockafellar},
35131  title		= {Generalized Subgradients in Mathematical Programming},
35132  pages		= {368--390}
35133}
35134
35135@InCollection{	  rockafellar:large-scale,
35136  author	= {R. T. Rockafellar},
35137  title		= {Large-Scale Extended Linear-Quadratic Programming and Multistage Optimization},
35138  booktitle	= {Advances in Numerical Partial Differential Equations and Optimization},
35139  chapter	= {15},
35140  year		= {1991},
35141  editor	= {S. Gomez and J. P. Hennart and R. A. Tapia},
35142  publisher	= {SIAM Publications},
35143  pages		= {247--261}
35144}
35145
35146@Article{	  rockafellar:linear-quadratic,
35147  author	= {R. T. Rockafellar},
35148  title		= {Linear-Quadratic Programming and Optimal Control},
35149  journal	= {SIAM Journal on Control and Optimization},
35150  year		= {1987},
35151  volume	= {25},
35152  pages		= {781--814}
35153}
35154
35155@Article{	  rockafellar:maximality,
35156  author	= {R. T. Rockafellar},
35157  title		= {On the Maximality of Sums of Nonlinear Monotone Operators},
35158  journal	= {Transactions of the American Mathematical Society},
35159  year		= {1970},
35160  volume	= {149},
35161  pages		= {75--88}
35162}
35163
35164@InCollection{	  rockafellar:monotone,
35165  author	= {R. T. Rockafellar},
35166  title		= {Monotone Operators and Augmented {L}agrangian Methods in Nonlinear Programming},
35167  crossref	= {mangasarian.meyer.ea:nonlinear*3},
35168  pages		= {1--26}
35169}
35170
35171@Article{	  rockafellar:monotone*1,
35172  author	= {R. T. Rockafellar},
35173  title		= {Monotone Operators and the Proximal Point Algorithm},
35174  journal	= {SIAM Journal on Control and Optimization},
35175  year		= {1976},
35176  volume	= {14},
35177  pages		= {877--898}
35178}
35179
35180@Article{	  rockafellar:multiplier,
35181  author	= {R. T. Rockafellar},
35182  title		= {The Multiplier Method of {H}estenes and {P}owell Applied to Convex Programming},
35183  journal	= {Journal of Optimization Theory and Applications},
35184  year		= {1973},
35185  volume	= {12},
35186  pages		= {555--562}
35187}
35188
35189@Article{	  rockafellar:multistage,
35190  author	= {R. T. Rockafellar},
35191  title		= {Multistage Convex Programming and Discrete-Time Optimal Control},
35192  journal	= {Control and Cybernetics},
35193  year		= {1988},
35194  volume	= {17},
35195  number	= {2-3},
35196  pages		= {225--245}
35197}
35198
35199@Book{		  rockafellar:network,
35200  author	= {R. T. Rockafellar},
35201  title		= {Network Flows and Monotropic Optimization},
35202  publisher	= {John Wiley},
35203  year		= {1984},
35204  address	= {New York}
35205}
35206
35207@Article{	  rodrigues:mixed,
35208  author	= {H. C. Rodrigues},
35209  title		= {A mixed variational formulation for shape optimization of solids with contact
35210		  conditions},
35211  journal	= {Structural Optimization},
35212  volume	= {6},
35213  year		= {1993},
35214  pages		= {19--28}
35215}
35216
35217@Book{		  rodrigues:obstacle,
35218  author	= {J. F. Rodrigues},
35219  title		= {Obstacle Problems in Mathematical Physics},
35220  publisher	= {Elsevier Publishing Company},
35221  address	= {Amsterdam},
35222  year		= {1987}
35223}
35224
35225@Book{		  roos.terlaky.ea:theory,
35226  author	= {C. Roos and T. Terlaky and J.--Ph. Vial},
35227  title		= {Theory and Algorithms for Linear Optimization: An Interior-Point Approach},
35228  publisher	= {John Wiley \& Sons},
35229  year		= {1997},
35230  address	= {Chichester}
35231}
35232
35233@TechReport{	  rosa:decomposition,
35234  author	= {C. H. Rosa},
35235  title		= {A Decomposition Technique for Equilibrium Programming under Uncertainty},
35236  institution	= {IIASA},
35237  year		= {1996},
35238  number	= {WP-96-013},
35239  address	= {A-2361 Laxenburg, Austria}
35240}
35241
35242@Article{	  rosen.lane.ea:treatment,
35243  author	= {I. Rosen and R. Lane and S. Morrill and J. Belli},
35244  title		= {Treatment Plan Optimization Using Linear Programming},
35245  journal	= {Medical Physics},
35246  year		= {1990},
35247  volume	= {18},
35248  number	= {2},
35249  pages		= {141--152}
35250}
35251
35252@TechReport{	  rosenblatt:perceptron-a,
35253  author	= {F. Rosenblatt},
35254  title		= {The perceptron--a perceiving and recognizing automaton},
35255  institution	= {Cornell Aeronautical Laboratory},
35256  year		= {1957},
35257  month		= jan,
35258  address	= {Ithaca, New York},
35259  number	= {85-460-1}
35260}
35261
35262@Book{		  rosenblatt:principles,
35263  author	= {F. Rosenblatt},
35264  title		= {Principles of Neurodynamics},
35265  year		= {1962},
35266  publisher	= {Spartan Books},
35267  address	= {New York}
35268}
35269
35270@InProceedings{	  rosenblatt:two,
35271  author	= {F. Rosenblatt},
35272  title		= {Two theorems of statistical separability in the perceptron},
35273  booktitle	= {Proceedings of Symposium Held at National Physical Laboratory, November 1958},
35274  year		= {1959},
35275  publisher	= {{HMS} Stationery Office},
35276  address	= {London},
35277  volume	= {1}
35278}
35279
35280@Article{	  rosenbrock:automatic,
35281  author	= {H. H. Rosenbrock},
35282  title		= {Automatic Method for Finding the Greatest or Least Value of a Function},
35283  journal	= {Computer Journal},
35284  year		= {1960},
35285  volume	= {3},
35286  pages		= {175--184}
35287}
35288
35289@Article{	  roy.mukhopadhyay:pattern,
35290  author	= {A. Roy and S. Mukhopadhyay},
35291  title		= {Pattern Classification Using Linear Programming},
35292  journal	= {ORSA Journal on Computing},
35293  year		= {1990},
35294  volume	= {3},
35295  pages		= {66--80}
35296}
35297
35298@Book{		  rubinstein:monte,
35299  author	= {R. Rubinstein},
35300  title		= {Monte Carlo Optimization, Simulation, and Sensitivity Analysis of Queueing
35301		  Networks},
35302  publisher	= {Wiley},
35303  address	= {New York, NY},
35304  year		= {1986}
35305}
35306
35307@Article{	  ruchala.olivera.ea:comparison,
35308  author	= {K. J. Ruchala and G. H. Olivera and T. R. Mackie},
35309  title		= {A Comparison of Maximum-Likelihood and Iterative Filtered Backprojection
35310		  Reconstruction Algorithms for Megavoltage {CT} on a Tomotherapy System},
35311  journal	= {Physics in Medicine and Biology, forthcoming},
35312  year		= {1999}
35313}
35314
35315@Book{		  rudin:principles,
35316  author	= {W. Rudin},
35317  title		= {Principles of Mathematical Analysis},
35318  year		= {1976},
35319  publisher	= {McGraw--Hill},
35320  address	= {Tokyo, Japan},
35321  edition	= {Third}
35322}
35323
35324@Book{		  rudin:real,
35325  author	= {W. Rudin},
35326  title		= {Real and Complex Analysis},
35327  year		= {1974},
35328  publisher	= {McGraw--Hill},
35329  address	= {Tokyo, Japan},
35330  edition	= {Second}
35331}
35332
35333@InProceedings{	  rumelhart.hinton.ea:learning,
35334  author	= {D. E. Rumelhart and G. E. Hinton and R. J. Williams},
35335  title		= {Learning Internal Representations by Error Propagation},
35336  booktitle	= {Parallel Distributed Processing},
35337  year		= {1986},
35338  editor	= {D. E. Rumelhart and J. L. McClelland},
35339  publisher	= {MIT Press},
35340  address	= {Cambridge, Massachusetts},
35341  pages		= {318--362}
35342}
35343
35344@Book{		  rumelhart.mcclelland:parallel,
35345  author	= {D. E. Rumelhart and J. L. McClelland},
35346  title		= {Parallel Distributed Processing},
35347  year		= {1986},
35348  publisher	= {MIT Press},
35349  address	= {Cambridge, Massachusetts}
35350}
35351
35352@InCollection{	  ruszczynski:regularized,
35353  author	= {A. Ruszczynski},
35354  title		= {On the Regularized Decomposition for Stochastic Programming Problems},
35355  year		= {1995},
35356  booktitle	= {Stochastic Programming: Numerical Techniques and Engineering Applications},
35357  editor	= {K. Marti and P. Kall},
35358  publisher	= {Springer-Verlag},
35359  address	= {Berlin},
35360  volume	= {425},
35361  series	= {Lecture Notes in Control and Information Sciences},
35362  pages		= {93--108}
35363}
35364
35365@Article{	  rutherford.rutstrom.ea:lacord,
35366  author	= {T. F. Rutherford and E. E. Rutstrom and D. Tarr},
35367  title		= {{L}'accord de libre-echange entre le {M}aroc et la {CE}: une evaluation
35368		  quantitative},
35369  journal	= {Revue d' Economie du developpement},
35370  year		= {1994}
35371}
35372
35373@InCollection{	  rutherford.tarr:blueprints,
35374  author	= {T. Rutherford and D. Tarr},
35375  title		= {Blueprints, Spillovers and the Dynamic Gains from Trade Liberalization in a Small
35376		  Open Economy},
35377  booktitle	= {Dynamic Issues in Applied Commercial Policy Analysis},
35378  publisher	= {Cambridge University Press},
35379  year		= {1997},
35380  editor	= {R. Baldwin and J. Francois},
35381  address	= {New York}
35382}
35383
35384@Article{	  rutherford:applied,
35385  author	= {T. F. Rutherford},
35386  title		= {Applied General Equilibrium Modeling with {MPSGE} as a {GAMS} Subsystem: An
35387		  Overview of the Modeling Framework and Syntax},
35388  year		= {1999},
35389  volume	= {14},
35390  pages		= {1--46},
35391  journal	= {Computational Economics}
35392}
35393
35394@PhDThesis{	  rutherford:applied*1,
35395  author	= {T. F. Rutherford},
35396  title		= {Applied General Equilibrium Modeling},
35397  school	= {Stanford University},
35398  year		= {1987}
35399}
35400
35401@Article{	  rutherford:extensions,
35402  author	= {T. F. Rutherford},
35403  title		= {Extensions of {GAMS} for Complementarity Problems Arising in Applied Economic
35404		  Analysis},
35405  journal	= {Journal of Economic Dynamics and Control},
35406  volume	= {19},
35407  pages		= {1299--1324},
35408  year		= {1995}
35409}
35410
35411@Misc{		  rutherford:gnuplot,
35412  author	= {T. F. Rutherford},
35413  title		= {A Libinclude Interface to Gnuplot from {GAMS}},
35414  organization	= {Department of Economics, University of Colorado},
35415  address	= {Boulder, Colorado},
35416  note		= {http://robles.colorado.edu/~tomruth/gnuplot/gnuplot.htm}
35417}
35418
35419@Unpublished{	  rutherford:miles,
35420  author	= {T. F. Rutherford},
35421  title		= {{MILES}: {A} Mixed Inequality and nonLinear Equation Solver},
35422  year		= {1993},
35423  note		= {Working Paper, Department of Economics, University of Colorado, Boulder}
35424}
35425
35426@TechReport{	  rutherford:modeling,
35427  author	= {T. F. Rutherford},
35428  title		= {A Modeling System for Applied General Equilibrium Analysis},
35429  type		= {Cowles Foundation Discussion Paper},
35430  number	= {836},
35431  institution	= {Yale University},
35432  year		= {1987}
35433}
35434
35435@TechReport{	  rutherford:mpsge,
35436  author	= {T. F. Rutherford},
35437  title		= {{MPSGE}},
35438  institution	= {University of Western Ontario},
35439  year		= {1988},
35440  address	= {London, Ontario}
35441}
35442
35443@Article{	  rykov:simplex,
35444  author	= {A. S. Rykov},
35445  title		= {Simplex Direct Search Algorithms},
35446  journal	= {Automation and Remote Control},
35447  year		= {1980},
35448  volume	= {41},
35449  pages		= {784--793}
35450}
35451
35452@Article{	  saad.schultz:gmres,
35453  author	= {Y. Saad and M. Schultz},
35454  title		= {{GMRES}: {A} Generalized Minimal Residual Algorithm for Solving Nonsymmetric
35455		  Linear Systems},
35456  journal	= {SIAM Journal on Scientific and Statistical Computing},
35457  year		= {1986},
35458  volume	= {44},
35459  pages		= {856--869}
35460}
35461
35462@Book{		  saad:iterative,
35463  author	= {Y. Saad},
35464  title		= {Iterative Methods for Sparse Linear Systems},
35465  year		= {1996},
35466  publisher	= {PWS Publishing Company},
35467  address	= {Boston, Massachusetts}
35468}
35469
35470@Article{	  sahni:approximate,
35471  author	= {S. Sahni},
35472  title		= {Approximate Algorithms for the 0/1 Knapsack Problem},
35473  journal	= {jacm},
35474  year		= {1975},
35475  volume	= {22},
35476  pages		= {115--124}
35477}
35478
35479@InProceedings{	  sauer.shepard.ea:comparison,
35480  author	= {O. A. Sauer and D. M. Shepard and L. Angelos and T. R. Mackie},
35481  title		= {A Comparison of Objective Functions for Use in Radiotherapy Optimization},
35482  booktitle	= {Proceedings of the XII International Conference on the Use of Computers in
35483		  Radiation Therapy, Salt Lake City},
35484  year		= {1997},
35485  editor	= {D. D. Leavitt and G. Starkshall},
35486  publisher	= {Medical Physics Publishing},
35487  address	= {St. Louis, Missouri}
35488}
35489
35490@Article{	  sauer.xu:multivariate,
35491  author	= {Th. Sauer and Y. Xu},
35492  title		= {On Multivariate {L}agrange Interpolation},
35493  journal	= {Mathematics of Computation},
35494  year		= {1995},
35495  volume	= {64},
35496  pages		= {1147--1170}
35497}
35498
35499@Article{	  savelsbergh:preprocessing,
35500  author	= {M. W. P. Savelsbergh},
35501  title		= {Preprocessing and Probing Techniques for Mixed Integer Programming Problems},
35502  journal	= {ORSA Journal on Computing},
35503  year		= {1994},
35504  volume	= {6},
35505  pages		= {445--454}
35506}
35507
35508@Article{	  scarf:approximation,
35509  author	= {H. E. Scarf},
35510  title		= {The Approximation of Fixed Points of a Continuous Mapping},
35511  journal	= {SIAM Journal on Applied Mathematics},
35512  year		= {1967},
35513  volume	= {15},
35514  pages		= {1328--1343}
35515}
35516
35517@Book{		  scarf:computation,
35518  author	= {H. E. Scarf},
35519  title		= {The Computation of Economic Equilibria},
35520  year		= {1973},
35521  publisher	= {Yale University Press},
35522  address	= {New Haven, Connecticut}
35523}
35524
35525@TechReport{	  scheel.scholtes:mathematical,
35526  author	= {H. Scheel and S. Scholtes},
35527  title		= {Mathematical Programs with Complementarity Constraints: Stationarity, Optimality,
35528		  and Sensitivity},
35529  institution	= {Judge Institute of Management Studies, University of Cambridge},
35530  year		= {1998},
35531  type		= {Technical Report},
35532  address	= {Cambridge, England}
35533}
35534
35535@Article{	  schlick:modified,
35536  author	= {T. Schlick},
35537  title		= {Modified {C}holesky Factorization for Sparse Preconditioners},
35538  journal	= {SIAM Journal on Scientific Computing},
35539  year		= {1993},
35540  volume	= {14},
35541  pages		= {424--445}
35542}
35543
35544@Article{	  schnabel.eskow:modified,
35545  author	= {R. B. Schnabel and E. Eskow},
35546  title		= {A New Modified {C}holesky Factorization},
35547  journal	= {SIAM Journal on Scientific and Statistical Computing},
35548  year		= {1991},
35549  volume	= {11},
35550  pages		= {1136--1158}
35551}
35552
35553@Article{	  schneider.zenios:comparative,
35554  author	= {M. H. Schneider and S. A. Zenios},
35555  title		= {A Comparative Study of Algorithms for Matrix Balancing},
35556  journal	= {Operations Research},
35557  year		= {1990},
35558  volume	= {38},
35559  pages		= {439--455}
35560}
35561
35562@Book{		  scholkopf.burges.ea:advances,
35563  editor	= {B. {Sch\"{o}lkopf} and C. Burges and A. Smola},
35564  title		= {Advances in Kernel Methods: Support Vector Machines},
35565  publisher	= {MIT Press},
35566  address	= {Cambridge, MA },
35567  year		= {1998},
35568  isbn		= {0-262-19416-3}
35569}
35570
35571@Article{	  scholtes.stohr:exact,
35572  author	= {S. Scholtes and M. St{\"{o}}hr},
35573  title		= {Exact Penalization of Mathematical Programs with Equilibrium Constraints},
35574  journal	= {SIAM Journal on Control and Optimization},
35575  volume	= {37},
35576  pages		= {617--652},
35577  year		= {1999}
35578}
35579
35580@TechReport{	  scholtes:introduction,
35581  author	= {S. Scholtes},
35582  title		= {Introduction to piecewise differentiable equations},
35583  institution	= {Institut f{\"{u}}r Statistik und Mathematische Wirtschaftstheorie,
35584		  Universit{\"{a}}t Karlsruhe},
35585  year		= {1994},
35586  type		= {Preprint},
35587  number	= {No. 53/1994},
35588  address	= {Karlsruhe, Germany}
35589}
35590
35591@Article{	  schramm.zowe:version,
35592  author	= {H. Schramm and J. Zowe},
35593  title		= {A Version of the Bundle Idea for Minimizing a Nonsmooth Function: Conceptual
35594		  Idea, Convergence Analysis, Numerical Results},
35595  journal	= {SIAM Journal on Optimization},
35596  year		= {1992},
35597  volume	= {2},
35598  pages		= {121--152}
35599}
35600
35601@Article{	  schultz.meyer:interior,
35602  author	= {G. L. Schultz and R. R. Meyer},
35603  title		= {An Interior Point Method for Block Angular Optimization},
35604  journal	= {SIAM Journal on Optimization},
35605  year		= {1991},
35606  volume	= {1},
35607  pages		= {583--602}
35608}
35609
35610@InProceedings{	  sekiguchi.sato.ea:ninf,
35611  author	= {S. Sekiguchi and M. Sato and S. Matsuoka and U. Nagashima},
35612  title		= {Ninf: Network based Information Library for Globally High Performance Computing},
35613  booktitle	= {Proceedings of the Parallel Object-Oriented Methods and Applications ({POOMA})},
35614  year		= {1996},
35615  address	= {Santa Fe}
35616}
35617
35618@InCollection{	  sellami.robinson:homotopies,
35619  author	= {H. Sellami and S. M. Robinson},
35620  title		= {Homotopies Based on Nonsmooth Equations for Solving Nonlinear Variational
35621		  Inequalities},
35622  booktitle	= {Nonlinear Optimization and Applications},
35623  editor	= {G. Di Pillo and F. Giannessi},
35624  year		= {1996},
35625  pages		= {327--343},
35626  publisher	= {Plenum Press},
35627  address	= {New York}
35628}
35629
35630@Article{	  sellami.robinson:implementation,
35631  author	= {H. Sellami and S. M. Robinson},
35632  title		= {Implementation of a Continuation Method for Normal Maps},
35633  journal	= {Mathematical Programming},
35634  year		= {1997},
35635  volume	= {76},
35636  pages		= {563--578}
35637}
35638
35639@PhDThesis{	  sellami:continuation,
35640  author	= {H. Sellami},
35641  title		= {A Continuation Method for Normal Maps},
35642  school	= {University of Wisconsin -- Madison},
35643  year		= {1994},
35644  address	= {Madison, Wisconsin}
35645}
35646
35647@Article{	  sellami:homotopy,
35648  author	= {H. Sellami},
35649  title		= {A Homotopy Continuation Method for Normal Maps},
35650  journal	= {Mathematical Programming},
35651  vol		= {82},
35652  year		= {1998},
35653  pages		= {317--337}
35654}
35655
35656@Book{		  seuss:one,
35657  author	= {{Dr.} A. Seuss},
35658  title		= {One Fish, Two Fish, Red Fish, Blue Fish},
35659  year		= {1960},
35660  publisher	= {Beginner Books},
35661  address	= {New York},
35662  series	= {Beginner Books, B13},
35663  note		= {A story--poem about the activities of such unusual animals as the Nook, Wump,
35664		  Yink, Yop, Gack, and the Zeds}
35665}
35666
35667@Article{	  seyfferth.pfeiffer:dynamics,
35668  author	= {W. Seyfferth and F. Pfeiffer},
35669  title		= {Dynamics of Assembly Processes With a Manipulator},
35670  journal	= {Proceedings of the 1992 IEEE/RSJ International Conference on Intelligent Robots
35671		  and Systems},
35672  year		= {1992},
35673  pages		= {1303--1310}
35674}
35675
35676@Article{	  shanno.simantiraki:infeasible,
35677  author	= {D. Shanno and E. Simantiraki},
35678  title		= {An Infeasible Interior--Point Method for Linear Complementarity Problems},
35679  year		= {1997},
35680  journal	= {SIAM Journal on Optimization},
35681  volume	= {7},
35682  pages		= {620--640}
35683}
35684
35685@InProceedings{	  shanno.simantiraki:interior,
35686  author	= {D. Shanno and E. Simantiraki},
35687  title		= {Interior Point Methods for Linear and Nonlinear Programming},
35688  booktitle	= {State of the Art in Numerical Analysis},
35689  year		= {1997},
35690  editor	= {I. S. Duff and G. A. Watson},
35691  publisher	= {Oxford University Press},
35692  address	= {Oxford}
35693}
35694
35695@Article{	  shannon:introduction,
35696  author	= {R. E. Shannon},
35697  title		= {Introduction to the Art and Science of simulation},
35698  journal	= {WSC98 1998 Winter simulation conference proceedings},
35699  year		= {1998},
35700  volume	= {1},
35701  pages		= {7--14}
35702}
35703
35704@TechReport{	  shapiro:concepts,
35705  author	= {A. Shapiro},
35706  title		= {On Concepts of Directional Differentiability},
35707  institution	= {Department of Mathematics and Applied Mathematics, University of South Africa},
35708  year		= {1988},
35709  address	= {Pretoria, South Africa},
35710  number	= {73/88(18)},
35711  type		= {Research Report}
35712}
35713
35714@Book{		  shavlik.editors:readings,
35715  author	= {J. W. Shavlik and T. G. Dietterich {(editors)}},
35716  title		= {Readings in Machine Learning},
35717  year		= {1990},
35718  publisher	= {Morgan Kaufman},
35719  address	= {San Mateo, California}
35720}
35721
35722@Article{	  shavlik.mooney.ea:symbolic,
35723  author	= {J. W. Shavlik and R. J. Mooney and G. G. Towell},
35724  title		= {Symbolic and Neural Network Learning Algorithms: An Experimental Comparison},
35725  journal	= {Machine Learning},
35726  year		= {1991},
35727  volume	= {6},
35728  pages		= {111--143}
35729}
35730
35731@Book{		  sheffi:urban,
35732  author	= {Y. Sheffi},
35733  title		= {Urban Transportation Networks},
35734  publisher	= {Prentice-Hall, Inc},
35735  year		= {1985},
35736  address	= {Englewood Cliffs, New Jersey}
35737}
35738
35739@Article{	  sheng.potra:quadratically,
35740  author	= {R. Sheng and F. A. Potra},
35741  title		= {A Quadratically {CO}nvergent Infeasible-Interior-Point {AL}gorithm for {LCP} with
35742		  Polynomial {CO}mplexity},
35743  journal	= {SIAM Journal on Optimization},
35744  year		= {1997},
35745  volume	= {7},
35746  pages		= {304--317}
35747}
35748
35749@InProceedings{	  shepard.angelos.ea:simple,
35750  author	= {D. M. Shepard and L. Angelos and O. A. Sauer and T. R. Mackie},
35751  title		= {A Simple Model for Examining Radiotherapy Optimization},
35752  booktitle	= {Proceedings of the XII International Conference on the Use of Computers in
35753		  Radiation Therapy, Salt Lake City},
35754  year		= {1997},
35755  editor	= {D. D. Leavitt and G. Starkshall},
35756  publisher	= {Medical Physics Publishing},
35757  address	= {St. Louis, Missouri}
35758}
35759
35760@Article{	  shepard.ferris.ea:inverse,
35761  author	= {D. M. Shepard and M. C. Ferris and R. Ove and L. Ma},
35762  title		= {Inverse Treatment Planning for Gamma Knife Radiosurgery},
35763  journal	= {Medical Physics},
35764  volume	= {27},
35765  pages		= {12},
35766  year		= {2000},
35767  key		= {93}
35768}
35769
35770@Article{	  shepard.ferris.ea:optimizing,
35771  author	= {D. M. Shepard and M. C. Ferris and G. Olivera and T. R. Mackie},
35772  title		= {Optimizing the Delivery of Radiation to Cancer Patients},
35773  journal	= {SIAM Review},
35774  volume	= {41},
35775  pages		= {721--744},
35776  year		= {1999},
35777  url		= {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/98-07.ps},
35778  key		= {68},
35779  institution	= {Computer Sciences Department, University of Wisconsin},
35780  address	= {Madison, Wisconsin},
35781  number	= {98-07},
35782  type		= {Mathematical Programming Technical Report}
35783}
35784
35785@Article{	  sherali.shetty:finitely,
35786  author	= {H. D. Sherali and C. M. Shetty},
35787  title		= {A Finitely Convergent Algorithm for Bilinear Programming Problems using Polar
35788		  Cuts and Disjunctive Face Cuts},
35789  journal	= {Mathematical Programming},
35790  year		= {1980},
35791  volume	= {19},
35792  pages		= {14--31}
35793}
35794
35795@Article{	  sherali.soyster.ea:stackelberg-nash-cournot,
35796  author	= {H. D. Sherali and A. L. Soyster and F. H. Murphy},
35797  title		= {{S}tackelberg--{N}ash--{C}ournot Equilibria: Characterization and Computation},
35798  journal	= {Operations Research},
35799  year		= {1983},
35800  volume	= {31},
35801  pages		= {253--276}
35802}
35803
35804@Article{	  shi.olafsson.ea:hybrid,
35805  author	= {L. Shi and S. \'{O}lafsson and Q. Chen},
35806  title		= {A New Hybrid Optimization Algorithm},
35807  journal	= {Computers and Industrial Engineering},
35808  year		= {1999},
35809  volume	= {36},
35810  pages		= {409--426}
35811}
35812
35813@PhDThesis{	  shiau:iterative,
35814  author	= {T.--H. Shiau},
35815  title		= {Iterative Linear Programming for Linear Complementarity and Related Problems},
35816  school	= {Computer Sciences Department, University of Wisconsin},
35817  year		= {1983},
35818  address	= {Madison, Wisconsin},
35819  note		= {Technical Report 507}
35820}
35821
35822@InProceedings{	  shor:generalized,
35823  crossref	= {bachem.grotschel.ea:mathematical},
35824  author	= {N. Z. Shor},
35825  title		= {Generalized Gradient Methods of Nondifferentiable Optimization Employing Space
35826		  Dilation Operations},
35827  pages		= {501--529}
35828}
35829
35830@Book{		  shor:minimization,
35831  author	= {N. Z. Shor},
35832  title		= {Minimization Methods for Nondifferentiable Functions},
35833  year		= {1985},
35834  publisher	= {Springer-Verlag},
35835  address	= {Berlin}
35836}
35837
35838@Article{	  shoven.whalley:applied,
35839  author	= {J. Shoven and J. Whalley},
35840  title		= {Applied General Equilibrium Models of Taxation and International Trade:
35841		  Introduction and Survey},
35842  journal	= {Journal of Economic Literature},
35843  year		= {1984},
35844  volume	= {22},
35845  pages		= {1007--1051}
35846}
35847
35848@Article{	  shultz.meyer:interior,
35849  author	= {G. L. Shultz and R. R. Meyer},
35850  title		= {An Interior Point Method for Block Angular Optimization},
35851  journal	= {SIAM Journal on Optimization},
35852  year		= {1991},
35853  volume	= {1},
35854  pages		= {583--602}
35855}
35856
35857@Article{	  shultz.schnabel.ea:family,
35858  author	= {G. A. Shultz and R. B. Schnabel and R. H. Byrd},
35859  title		= {A Family of Trust--Region--Based Algorithms for Unconstrained Minimization},
35860  journal	= {SIAM Journal on Numerical Analysis},
35861  year		= {1985},
35862  volume	= {22},
35863  pages		= {44--67}
35864}
35865
35866@Article{	  sibony:methodes,
35867  author	= {M. Sibony},
35868  title		= {Methodes iteratives pur les equations et inequations aux derives partielles
35869		  nonlineaires de type monotone},
35870  journal	= {Calcolo},
35871  year		= {1970},
35872  volume	= {7},
35873  pages		= {65--183}
35874}
35875
35876@Article{	  sidney:optimal,
35877  author	= {J. B. Sidney},
35878  title		= {Optimal Single--Machine Scheduling with Earliness and Tardiness Penalties},
35879  journal	= {Operations Research},
35880  year		= {1977},
35881  volume	= {25},
35882  pages		= {62--69}
35883}
35884
35885@Book{		  siegel:corba,
35886  author	= {J. Siegel},
35887  title		= {{CORBA} - Fundamentals and Programming},
35888  publisher	= {John Wiley \& Sons},
35889  year		= {1996},
35890  address	= {New York, New York}
35891}
35892
35893@TechReport{	  simantiraki.shanno:infeasible-interior-point,
35894  author	= {E. Simantiraki and D. F. Shanno},
35895  title		= {An infeasible-interior-point algorithm for linear complementarity problems},
35896  type		= {Research Report},
35897  number	= {7-95},
35898  institution	= {Rutgers Center for Operations Research, Rutgers University},
35899  address	= {New Brunswick, New Jersey},
35900  year		= {1995}
35901}
35902
35903@InProceedings{	  simantiraki.shanno:infeasible-interior-point*1,
35904  author	= {E. Simantiraki and D. F. Shanno},
35905  title		= {An Infeasible-Interior-Point Algorithm for Solving Mixed Complementarity
35906		  Problems},
35907  crossref	= {ferris.pang:complementarity},
35908  pages		= {386--404}
35909}
35910
35911@Book{		  simpson:artificial,
35912  author	= {P. K. Simpson},
35913  title		= {Artificial Neural Systems},
35914  year		= {1990},
35915  publisher	= {Pergamon Press},
35916  address	= {New York}
35917}
35918
35919@Article{	  smeers:computable,
35920  author	= {Y. Smeers},
35921  title		= {Computable Equilibrium Models and the Restructuring of the {E}uropean Electricity
35922		  and Gas Markets},
35923  journal	= {The Energy Journal},
35924  year		= {1997},
35925  optkey	= {},
35926  optvolume	= {18},
35927  optnumber	= {},
35928  optmonth	= {},
35929  optpages	= {1--32},
35930  optnote	= {},
35931  optannote	= {}
35932}
35933
35934@Article{	  smith:design,
35935  author	= {F. W. Smith},
35936  title		= {Design of Multicategory Pattern Classifiers with Two-Category Classifier Design
35937		  Procedures},
35938  journal	= {IEEE Transactions on Computers},
35939  year		= {1969},
35940  volume	= {18},
35941  pages		= {367--372}
35942}
35943
35944@Article{	  smith:existence,
35945  author	= {M. J. Smith},
35946  title		= {The Existence, Uniqueness and Stability of Traffic Equilibria},
35947  journal	= {Transportation Research},
35948  year		= {1979},
35949  volume	= {13B},
35950  pages		= {295--304}
35951}
35952
35953@Article{	  smith:existence*1,
35954  author	= {M. J. Smith},
35955  title		= {The existence and calculation of traffic equilibria},
35956  journal	= {Transportation Research},
35957  volume	= {17B},
35958  year		= {1983},
35959  pages		= {291--303}
35960}
35961
35962@Article{	  smith:pattern,
35963  author	= {F. W. Smith},
35964  title		= {Pattern Classifier Design by Linear Programming},
35965  journal	= {IEEE Transactions on Computers},
35966  year		= {1968},
35967  volume	= {C-17},
35968  pages		= {367--372}
35969}
35970
35971@Article{	  solodov.svaiter:projection,
35972  author	= {M. V. Solodov and B. F. Svaiter},
35973  title		= {A New Projection Method for Variational Inequality Problems},
35974  journal	= {SIAM Journal on Control and Optimization},
35975  volume	= {37},
35976  pages		= {765--776},
35977  year		= {1999}
35978}
35979
35980@Article{	  solodov.tseng:modified,
35981  author	= {M. V. Solodov and P. Tseng},
35982  title		= {Modified Projection--Type Methods for Monotone Variational Inequalities},
35983  year		= {1996},
35984  journal	= {SIAM Journal on Control and Optimization},
35985  pages		= {1814--1830},
35986  volume	= {34}
35987}
35988
35989@Article{	  solodov:stationary,
35990  author	= {M. V. Solodov},
35991  title		= {Stationary Points of Bound Constrained Minimization Reformulations of
35992		  Complementarity Problems},
35993  journal	= {Journal of Optimization Theory and Applications, forthcoming},
35994  year		= {1997}
35995}
35996
35997@Article{	  spendley.hext.ea:sequential,
35998  author	= {W. Spendley and G. R. Hext and F. R. Himsworth},
35999  title		= {Sequential Application of Simplex Designs in Optimization and Evolutionary
36000		  Operation},
36001  journal	= {Technometrics},
36002  year		= {1962},
36003  pages		= {441--461},
36004  volume	= {4}
36005}
36006
36007@Article{	  spingarn:applications,
36008  author	= {J. E. Spingarn},
36009  title		= {Applications of the Method of Partial Inverses to Convex Programming},
36010  journal	= {Mathematical Programming},
36011  year		= {1985},
36012  volume	= {32},
36013  pages		= {199--223}
36014}
36015
36016@Book{		  srinivasan.whalley:general,
36017  author	= {T. Srinivasan and J. Whalley},
36018  title		= {General Equilibrium Trade Policy Modelling},
36019  publisher	= {MIT Press},
36020  year		= {1986},
36021  address	= {Boston}
36022}
36023
36024@Book{		  stackelberg:theory,
36025  author	= {H. Van Stackelberg},
36026  title		= {The Theory of Market Economy},
36027  publisher	= {Oxford University Press},
36028  year		= {1952}
36029}
36030
36031@Article{	  stavroulakis.panagiotopoulos.ea:rigid,
36032  author	= {G. E. Stavroulakis and P. D. Panagiotopoulos and A. M. Al-Fahed},
36033  title		= {On the Rigid Body Displacements and Rotations in Unilateral Contact Problems and
36034		  Applications},
36035  journal	= {Computers \& Structures},
36036  volume	= {40},
36037  year		= {1991},
36038  pages		= {599--614}
36039}
36040
36041@Article{	  stavroulakis:optimal,
36042  author	= {G. E. Stavroulakis},
36043  title		= {Optimal prestress of cracked unilateral structures: finite element analysis of an
36044		  optimal control problem for variational inequalities},
36045  journal	= {Computer Methods in Applied Mechanics and Engineering, forthcoming},
36046  year		= {1996}
36047}
36048
36049@Article{	  stavroulakis:optimal*1,
36050  author	= {G. E. Stavroulakis},
36051  title		= {Optimal prestress of structures with frictional unilateral contact interfaces},
36052  journal	= {Archives of Applied Mechanics, forthcoming},
36053  year		= {1996}
36054}
36055
36056@Book{		  steenbrink:optimization,
36057  author	= {P. A. Steenbrink},
36058  title		= {Optimization of Transport Networks},
36059  publisher	= {John Wiley \& Sons},
36060  address	= {London, England},
36061  year		= {1974}
36062}
36063
36064@Article{	  stephens:asymptotic,
36065  author	= {M. A. Stephens},
36066  title		= {Asymptotic Results for Goodness-of-Fit Statistics with Unknown Parameters},
36067  journal	= {Annals of Statistics},
36068  year		= {1976},
36069  volume	= {4},
36070  pages		= {357--369}
36071}
36072
36073@Article{	  stephens:edf,
36074  author	= {M. A. Stephens},
36075  title		= {{EDF} Statistics for Goodness of Fit and Some Comparisons},
36076  journal	= {Journal of the American Statistical Association},
36077  year		= {1974},
36078  volume	= {69},
36079  pages		= {730--737}
36080}
36081
36082@Article{	  stevens:location,
36083  author	= {B. H. Stevens},
36084  title		= {Location Theory and Programming Models: The Von Th{\"{u}}nen case},
36085  journal	= {Papers of the Regional Science Association},
36086  year		= {1968},
36087  volume	= {21},
36088  pages		= {19--34}
36089}
36090
36091@Article{	  stewart.trinkle:implicit,
36092  author	= {D. E. Stewart and J. C. Trinkle},
36093  title		= {An Implicit Time-Stepping Scheme for Rigid Body Dynamics with Inelastic
36094		  Collisions and {C}oulomb Friction},
36095  journal	= {International Journal for Numerical Methods in Engineering},
36096  year		= {1996},
36097  volume	= {39},
36098  pages		= {2673--2691}
36099}
36100
36101@Book{		  stoer.bulirsch:introduction,
36102  author	= {J. Stoer and R. Bulirsch},
36103  title		= {Introduction to Numerical Analysis},
36104  year		= {1980},
36105  publisher	= {Springer-Verlag},
36106  address	= {New York}
36107}
36108
36109@Article{	  stoer:complexity,
36110  author	= {J. Stoer},
36111  title		= {The complexity of an infeasible interior--point path--following method for the
36112		  solution of linear programs},
36113  journal	= {Optimization Methods and Software},
36114  year		= {1994},
36115  volume	= {3},
36116  pages		= {1--12}
36117}
36118
36119@Article{	  stone:cross-validatory,
36120  author	= {M. Stone},
36121  title		= {Cross-validatory choice and assessment of statistical predictions},
36122  journal	= {Journal of the Royal Statistical Society},
36123  year		= {1974},
36124  volume	= {36},
36125  pages		= {111--147}
36126}
36127
36128@Article{	  stone.smith.ea:inverse,
36129  author	= {R. A. Stone and V. Smith and L. Verhey},
36130  title		= {Inverse Planning for the {G}amma {K}nife},
36131  journal	= {Medical Physics},
36132  year		= {1993},
36133  volume	= {20},
36134  pages		= {865}
36135}
36136
36137@Book{		  strang:linear,
36138  author	= {G. Strang},
36139  title		= {Linear Algebra and its Applications},
36140  year		= {1980},
36141  publisher	= {Academic Press},
36142  address	= {New York},
36143  edition	= {Second}
36144}
36145
36146@InProceedings{	  street.wolberg.ea:nuclear,
36147  author	= {W. N. Street and W. H. Wolberg and O. L. Mangasarian},
36148  title		= {Nuclear Feature Extraction for Breast Tumor Diagnosis},
36149  booktitle	= {Biomedical Image Processing and Biomedical Visualization},
36150  year		= {1993},
36151  publisher	= {SPIE--The International Society for Optical Engineering},
36152  address	= {San Jose, California},
36153  pages		= {861--870},
36154  volume	= {1905}
36155}
36156
36157@Article{	  subramanian:gauss-newton,
36158  author	= {P. K. Subramanian},
36159  title		= {Gauss--{N}ewton Methods for the Complementarity Problem},
36160  journal	= {Journal of Optimization Theory and Applications},
36161  year		= {1993},
36162  volume	= {77},
36163  pages		= {467--482}
36164}
36165
36166@PhDThesis{	  subramanian:iterative,
36167  author	= {P. K. Subramanian},
36168  title		= {Iterative Methods of Solution for Complementarity Problems},
36169  year		= {1985},
36170  address	= {Madison, Wisconsin},
36171  school	= {Computer Sciences Department, University of Wisconsin}
36172}
36173
36174@TechReport{	  subramanian:note,
36175  author	= {P. K. Subramanian},
36176  title		= {A Note on Least Two Norm Solutions of Monotone Complementarity Problems},
36177  institution	= {Mathematics Research Center, University of Wisconsin--Madison},
36178  year		= {1985},
36179  address	= {Madison, Wisconsin},
36180  number	= {2844},
36181  type		= {Technical Summary Report}
36182}
36183
36184@TechReport{	  suh.gucht:distributed,
36185  author	= {J. Y. Suh and D. Van Gucht},
36186  title		= {Distributed Genetic Algorithms},
36187  institution	= {Computer Science Department, Indiana University},
36188  year		= {1987},
36189  address	= {Bloomington},
36190  number	= {225}
36191}
36192
36193@Article{	  sun.natori.ea:computational,
36194  author	= {S. M. Sun and M. C. Natori and K. C. Park},
36195  title		= {A Computational Procedure for Flexible Beams with Frictional Contact
36196		  Constraints},
36197  journal	= {International Journal for Numerical Methods in Engineering},
36198  volume	= {36},
36199  pages		= {3781--3800},
36200  year		= {1993}
36201}
36202
36203@Article{	  sun.qi:ncp-functions,
36204  author	= {D. Sun and L. Qi},
36205  title		= {On {NCP}-Functions},
36206  journal	= {Computational Optimization and Applications, forthcoming},
36207  year		= {1998}
36208}
36209
36210@Article{	  sun.womersley:unconstrained,
36211  author	= {D. Sun and R. S. Womersley},
36212  title		= {A new unconstrained differentiable merit function for box constrained variational
36213		  inequality problems and a damped {G}auss-{N}ewton method},
36214  journal	= {SIAM Journal on Optimization},
36215  year		= {1999},
36216  volume	= {9},
36217  pages		= {388--413}
36218}
36219
36220@Article{	  sun:class,
36221  author	= {D. Sun},
36222  title		= {A Class of Iterative Methods for Nonlinear Projection Equations},
36223  journal	= {Journal of Optimization Theory and Applications},
36224  year		= {1996},
36225  volume	= {91},
36226  pages		= {123--140}
36227}
36228
36229@PhDThesis{	  sun:monotropic,
36230  author	= {J. Sun},
36231  title		= {On Monotropic Piecewise Quadratic Programming},
36232  school	= {University of Washington},
36233  year		= {1986},
36234  address	= {Seattle, Washington}
36235}
36236
36237@Article{	  sun:thermal,
36238  author	= {D. C. Sun},
36239  title		= {A Thermal Elastic Theory of Piston-Ring and Cylinder-Bore Contact},
36240  journal	= {Journal of Applied Mechanics},
36241  volume	= {58},
36242  pages		= {141--153},
36243  year		= {1991}
36244}
36245
36246@Article{	  sundararaghavan.ahmed:minimizing,
36247  author	= {P. S. Sundararaghavan and M. U. Ahmed},
36248  title		= {Minimizing the Sum of Absolute Lateness in Single--Machine and Multimachine
36249		  Scheduling},
36250  journal	= {Naval Research Logistics Quarterly},
36251  year		= {1984},
36252  volume	= {31},
36253  pages		= {325--333}
36254}
36255
36256@TechReport{	  sznajder.gowda:generalizations,
36257  author	= {R. Sznajder and M. S. Gowda},
36258  title		= {Generalizations of ${P}_0$-- and ${P}$-- properties; extended vertical and
36259		  horizontal {LCP}s},
36260  institution	= {Department of Mathematics, University of Maryland--Baltimore County},
36261  year		= {1992},
36262  address	= {Catonsville, Maryland},
36263  number	= {92--16},
36264  type		= {Research Report}
36265}
36266
36267@Article{	  sznajder.gowda:nondegeneracy,
36268  author	= {R. Sznajder and M. S. Gowda},
36269  title		= {Nondegeneracy Concepts for Zeros of Piecewise Smooth Functions},
36270  journal	= {Mathematics of Operations Research},
36271  year		= {1998},
36272  volume	= {23},
36273  pages		= {221--238}
36274}
36275
36276@Article{	  taji.fukushima.ea:globally,
36277  author	= {K. Taji and M. Fukushima and T. Ibaraki},
36278  title		= {A Globally Convergent {N}ewton Method for Solving Strongly Monotone Variational
36279		  Inequalities},
36280  journal	= {Mathematical Programming},
36281  year		= {1993},
36282  volume	= {58},
36283  pages		= {369--383}
36284}
36285
36286@Article{	  taji.fukushima:optimization,
36287  author	= {K. Taji and M. Fukushima},
36288  title		= {Optimization Based Globally Convergent Methods for the Nonlinear Complementarity
36289		  Problem},
36290  journal	= {Journal of the Operations Research Society of Japan},
36291  year		= {1994},
36292  volume	= {37},
36293  pages		= {310--331}
36294}
36295
36296@Article{	  talbot.patterson.ea:comparative,
36297  author	= {F. B. Talbot and J. H. Patterson and W. V. Gehrlein},
36298  title		= {A Comparative Evaluation of Heuristic Line Balancing Techniques},
36299  journal	= {Management Science},
36300  year		= {1986},
36301  volume	= {32},
36302  pages		= {430--454}
36303}
36304
36305@Article{	  talman.yamamoto:simplicial,
36306  author	= {A. J. J. Talman and Y. Yamamoto},
36307  title		= {A {S}implicial Algorithm for Stationary Point Problems},
36308  journal	= {Mathematics of Operations Research},
36309  year		= {1989},
36310  volume	= {14},
36311  pages		= {383--399}
36312}
36313
36314@InProceedings{	  tanese:distributed,
36315  crossref	= {schaeffer:third},
36316  author	= {R. Tanese},
36317  title		= {Distributed Genetic Algorithms},
36318  pages		= {434--439}
36319}
36320
36321@InProceedings{	  tanese:parallel,
36322  crossref	= {grefenstette:genetic},
36323  author	= {R. Tanese},
36324  title		= {Parallel Genetic Algorithms for a Hypercube},
36325  pages		= {177--183}
36326}
36327
36328@Article{	  teboulle:entropic,
36329  author	= {M. Teboulle},
36330  title		= {Entropic Proximal Mappings with Applications to Nonlinear Programming},
36331  year		= {1992},
36332  journal	= {Mathematics of Operations Research},
36333  volume	= {17},
36334  pages		= {670--690}
36335}
36336
36337@Article{	  thuente:duality,
36338  author	= {D. J. Thuente},
36339  title		= {Duality Theory for Generalized Linear Programs with Computational Methods},
36340  journal	= {Operations Research},
36341  year		= {1980},
36342  volume	= {28},
36343  pages		= {1005--1011}
36344}
36345
36346@Book{		  tikhonov.arsenin:solutions,
36347  author	= {A. N. Tikhonov and V. Y. Arsenin},
36348  title		= {Solutions of Ill--Posed Problems},
36349  year		= {1977},
36350  publisher	= {John Wiley \& Sons},
36351  address	= {New York}
36352}
36353
36354@InProceedings{	  tin-loi.ferris:complementarity,
36355  author	= {F. Tin-Loi and M. C. Ferris},
36356  title		= {Complementarity Problems in Engineering and Mechanics: Models and Solution},
36357  booktitle	= {Computational Mechanics for the Next Millenium},
36358  key		= {79},
36359  pages		= {1029--1036},
36360  year		= {1999},
36361  editor	= {C. M. Wang and K. H. Lee and K. K. Ang},
36362  volume	= {2},
36363  series	= {Proceedings of APCOM '99, Fourth Asia-Pacific Conference on Computational
36364		  Mechanics},
36365  url		= {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/99-02.ps},
36366  publisher	= {Elsevier Science Ltd},
36367  type		= {Mathematical Programming Technical Report},
36368  institution	= {Computer Sciences Department, University of Wisconsin},
36369  address	= {Madison, Wisconsin},
36370  number	= {99-02}
36371}
36372
36373@InProceedings{	  tin-loi.ferris:holonomic,
36374  author	= {F. Tin-Loi and M. C. Ferris},
36375  title		= {Holonomic Analysis of Quasibrittle Fracture with Nonlinear Softening},
36376  booktitle	= {Advances in Fracture Research},
36377  year		= {1997},
36378  editor	= {B. L. Karihaloo and Y. W. Mai and M. I. Ripley and R. O. Ritchie},
36379  volume	= {2},
36380  publisher	= {Pergamon Press},
36381  pages		= {2183--2190},
36382  key		= {53}
36383}
36384
36385@InProceedings{	  tin-loi.ferris:simple,
36386  author	= {F. Tin-Loi and M. C. Ferris},
36387  title		= {A Simple Mathematical Programming Method for a Structural Identification
36388		  Problem},
36389  booktitle	= {Seventh International Conference on Computing in Civil and Building Engineering
36390		  (ICCCBE-VII), Seoul, Korea, 19-21 August},
36391  editors	= {C. K. Choi and C. B. Yun and H. G. Kwak},
36392  publisher	= {Techno-Press},
36393  address	= {Korea},
36394  year		= {1997},
36395  pages		= {511--518},
36396  key		= {59}
36397}
36398
36399@Article{	  tin-loi.misa:large,
36400  author	= {F. Tin-Loi and J. S. Misa},
36401  title		= {Large displacement elastoplastic analysis of semirigid steel frames},
36402  journal	= {International Journal for Numerical Methods in Engineering},
36403  volume	= {39},
36404  pages		= {741--762},
36405  year		= {1996}
36406}
36407
36408@Article{	  tin-loi.pang:elastoplastic,
36409  author	= {F. Tin-Loi and J. S. Pang},
36410  title		= {Elastoplastic analysis of structures with nonlinear hardening},
36411  journal	= {Computer Methods in Applied Mechanics and Engineering},
36412  volume	= {107},
36413  year		= {1993},
36414  pages		= {299--312}
36415}
36416
36417@Article{	  tin-loi.vimonsatit:nonlinear,
36418  author	= {F. Tin-Loi and V. Vimonsatit},
36419  title		= {Nonlinear Analysis of Semi-Rigid Frames: a Parametric Complementarity Approach},
36420  journal	= {Engineering Structures},
36421  volume	= {18},
36422  year		= {1996},
36423  pages		= {115--124}
36424}
36425
36426@Article{	  tobin:uniqueness,
36427  author	= {R. L. Tobin},
36428  title		= {Uniqueness results and algorithm for Stackelberg-Cournot-Nash equilibria},
36429  journal	= {Annals of Operations Research},
36430  volume	= {34},
36431  year		= {1992},
36432  pages		= {21--36}
36433}
36434
36435@Article{	  tobin:variable,
36436  author	= {R. L. Tobin},
36437  title		= {A Variable Dimension Solution Approach for the General Spatial Equilibrium
36438		  Problem},
36439  journal	= {Mathematical Programming},
36440  year		= {1988},
36441  volume	= {40},
36442  pages		= {33--51}
36443}
36444
36445@Article{	  todd.burrell:extension,
36446  author	= {M. J. Todd and B. P. Burrell},
36447  title		= {An Extension of {K}armarkar's Algorithm for Linear Programming Using Dual
36448		  Variables},
36449  journal	= {Algorithmica},
36450  year		= {1986},
36451  volume	= {1},
36452  pages		= {409--424}
36453}
36454
36455@Book{		  todd:computation,
36456  author	= {M. J. Todd},
36457  title		= {Computation of Fixed Points and Applications},
36458  publisher	= {Springer-Verlag},
36459  year		= {1976},
36460  volume	= {124},
36461  series	= {Lecture Notes in Economics and Mathematical Systems},
36462  address	= {Heidelberg}
36463}
36464
36465@Article{	  todd:note,
36466  author	= {M. J. Todd},
36467  title		= {A Note on Computing Equilibria in Economies with Activity Analysis Models of
36468		  Production},
36469  journal	= {Journal of Mathematical Economics},
36470  year		= {1976},
36471  volume	= {6},
36472  pages		= {135--144}
36473}
36474
36475@Article{	  toint:assesment,
36476  author	= {Ph. L. Toint},
36477  title		= {An Assesment of Non--Monotone Linesearch Techniques for Unconstrained
36478		  Optimization},
36479  year		= {1996},
36480  journal	= {SIAM Journal on Scientific Computing},
36481  volume	= {17},
36482  pages		= {725=-739}
36483}
36484
36485@TechReport{	  toint:assesment*1,
36486  author	= {Ph. L. Toint},
36487  title		= {An Assesment of Non--Monotone Linesearch Techniques for Unconstrained
36488		  Optimization: The Complete Numerical Results},
36489  institution	= {Department of Mathematics, FUNDP},
36490  year		= {1994},
36491  number	= {94/15},
36492  address	= {Namur, Belgium}
36493}
36494
36495@Article{	  toint:global,
36496  author	= {Ph. L. Toint},
36497  title		= {Global Convergence of a Class of Trust Region Methods for Nonconvex Minimization
36498		  in a {H}ilbert Space},
36499  journal	= {IMA Journal of Numerical Analysis},
36500  year		= {1988},
36501  volume	= {8},
36502  pages		= {231--252}
36503}
36504
36505@Article{	  toint:non-monotone,
36506  author	= {Ph. L. Toint},
36507  title		= {A Non--Monotone Trust--Region Algorithm for Nonlinear Optimization subject to
36508		  Convex Constraints},
36509  year		= {1997},
36510  journal	= {Mathematical Programming},
36511  volume	= {77},
36512  pages		= {69--94}
36513}
36514
36515@InCollection{	  toint:transportation,
36516  author	= {Ph. L. Toint},
36517  title		= {Transportation Modelling and Operations Research: {A} Fruitful Connection},
36518  booktitle	= {Operations Research and Decision Aid Methodologies in Traffic and Transportation
36519		  Management},
36520  publisher	= {Springer-Verlag},
36521  series	= {NATO ASI Series F},
36522  year		= {1997},
36523  editor	= {Ph. L. Toint and M. Labbe and K. Tanczos and G. Laporte}
36524}
36525
36526@Article{	  tomlin.welch:finding,
36527  author	= {J. Tomlin and J. Welch},
36528  title		= {Finding Duplicate Rows in a Linear Programming Model},
36529  journal	= {Operations Research Letters},
36530  year		= {1986},
36531  volume	= {5},
36532  number	= {1},
36533  pages		= {7--11}
36534}
36535
36536@Article{	  torczon:convergence,
36537  author	= {V. Torczon},
36538  title		= {On the Convergence of the Multidirectional Search Algorithm},
36539  journal	= {SIAM Journal on Optimization},
36540  year		= {1991},
36541  volume	= {1},
36542  pages		= {123--145}
36543}
36544
36545@Article{	  torczon:convergence*1,
36546  author	= {V. Torczon},
36547  title		= {On the Convergence of Pattern Search Algorithms},
36548  journal	= {SIAM Journal on Optimization},
36549  year		= {1997},
36550  volume	= {7},
36551  pages		= {1--25}
36552}
36553
36554@Misc{		  torma.rutherford:general,
36555  author	= {H. Torma and T. Rutherford},
36556  title		= {A General Equilibrium Assessment of {F}inland's Grand Tax Reform},
36557  year		= {1992},
36558  howpublished	= {Working Paper 15/1992},
36559  note		= {Department of Economics and Management, University of Jyvaskyla, Finland}
36560}
36561
36562@Article{	  trinkle.pang.ea:dynamic,
36563  author	= {J. C. Trinkle and J. S. Pang and S. Sudarsky and G. Lo},
36564  title		= {On Dynamic Multi-Rigid-Body Contact Problems},
36565  journal	= {Zeitschrift f{\"{u}}r Angewandte Mathematik und Mechanik},
36566  year		= {1997},
36567  pages		= {267--279},
36568  volume	= {77}
36569}
36570
36571@InProceedings{	  trinkle.pang:dynamic,
36572  author	= {J. C. Trinkle and J. S. Pang},
36573  title		= {Dynamic multi-rigid-body systems with concurrent distributed contacts friction},
36574  book		= {{IEEE} International Conference on Robotics and Automation},
36575  pages		= {2276--2281},
36576  year		= {1997}
36577}
36578
36579@TechReport{	  tseng.bertsekas:convergence,
36580  author	= {P. Tseng and D. P. Bertsekas},
36581  title		= {On the Convergence of the Exponential Multiplier Method for Convex Programming},
36582  institution	= {Laboratory for Information and Decision Systems, Massachusetts Institute of
36583		  Technology},
36584  year		= {1990},
36585  type		= {technical report},
36586  number	= {LIDS-P-1995},
36587  address	= {Cambridge, MA}
36588}
36589
36590@Article{	  tseng.yamashita.ea:equivalence,
36591  author	= {P. Tseng and N. Yamashita and M. Fukushima},
36592  title		= {Equivalence of Complementarity Problems to Differentiable Minimization: a Unified
36593		  Approach},
36594  year		= {1996},
36595  journal	= {SIAM Journal on Optimization},
36596  volume	= {6},
36597  pages		= {446--460}
36598}
36599
36600@Article{	  tseng:applications,
36601  author	= {P. Tseng},
36602  title		= {Applications of a splitting algorithm to decomposition in convex programming and
36603		  variational inequalities},
36604  journal	= {SIAM Journal on Control and Optimization},
36605  year		= {1991},
36606  volume	= {29},
36607  pages		= {119--138}
36608}
36609
36610@Article{	  tseng:dual,
36611  author	= {P. Tseng},
36612  title		= {Dual Ascent Methods for Problems with Strictly Convex Costs and Linear
36613		  Constraints: a Unified Approach},
36614  journal	= {SIAM Journal on Control and Optimization},
36615  year		= {1990},
36616  volume	= {28},
36617  pages		= {214--242}
36618}
36619
36620@Article{	  tseng:dual*1,
36621  author	= {P. Tseng},
36622  title		= {Dual Ascent Methods with Strictly Convex Costs and Linear Constraints: {A}
36623		  Unified Approach},
36624  journal	= {SIAM Journal on Control and Optimization},
36625  year		= {1990},
36626  volume	= {28},
36627  pages		= {214--242}
36628}
36629
36630@Article{	  tseng:dual*2,
36631  author	= {P. Tseng},
36632  title		= {Dual Coordinate Ascent Methods for Non--Strictly Convex Minimization},
36633  journal	= {Mathematical Programming},
36634  year		= {1993},
36635  volume	= {59},
36636  pages		= {231--248}
36637}
36638
36639@Article{	  tseng:fortified-descent,
36640  author	= {P. Tseng},
36641  title		= {Fortified-Descent Simplicial Search Method: a General Approach},
36642  journal	= {SIAM Journal on Optimization},
36643  volume	= {10},
36644  pages		= {269--288},
36645  year		= {2000}
36646}
36647
36648@Article{	  tseng:growth,
36649  author	= {P. Tseng},
36650  title		= {Growth Behavior of a Class of Merit Functions for the Nonlinear Complementarity
36651		  Problem},
36652  journal	= {Journal of Optimization Theory and Applications},
36653  volume	= {89},
36654  year		= {1996},
36655  pages		= {17--37}
36656}
36657
36658@Unpublished{	  tseng:matlab,
36659  author	= {P. Tseng},
36660  title		= {Matlab Implementations of Complementarity Codes},
36661  year		= {1995},
36662  note		= {Private Communication}
36663}
36664
36665@Article{	  ursescu:multifunctions,
36666  author	= {C. Ursescu},
36667  title		= {Multifunctions with closed convex graph},
36668  journal	= {Czech. Math. J.},
36669  year		= {1975},
36670  volume	= {35},
36671  pages		= {438--441}
36672}
36673
36674@TechReport{	  vaidya:algorithm,
36675  author	= {P. M. Vaidya},
36676  title		= {An Algorithm for Linear Programming which Requires
36677		  {O}($((m+n)n^2+(m+n)^{1.5})${L}) arithmetic operations},
36678  institution	= {AT\&T Bell Laboratories},
36679  year		= {1987},
36680  address	= {Murray Hill, New Jersey}
36681}
36682
36683@Article{	  val:unloading,
36684  author	= {P. Du Val},
36685  title		= {The Unloading Problem for Plane Curves},
36686  journal	= {American Journal of Mathematics},
36687  year		= {1940},
36688  volume	= {62},
36689  pages		= {307--311}
36690}
36691
36692@InCollection{	  valentine:problem,
36693  author	= {F. A. Valentine},
36694  title		= {The Problem of {L}agrange with Differential Inequalities as Added Side
36695		  Conditions},
36696  booktitle	= {Contributions to the Calculus of Variations, 1933--1937},
36697  year		= {1937},
36698  publisher	= {University of Chicago Press},
36699  address	= {Chicago},
36700  pages		= {407--448}
36701}
36702
36703@Article{	  valle.poch.ea:comparison,
36704  author	= {M. del Valle and M. Poch and J. Alonso and J. Bartroli},
36705  title		= {Comparison of the {P}owell and Simplex Methods in the Optimization of
36706		  Flow-Injection Systems},
36707  journal	= {Analytica Chimica Acta},
36708  year		= {1990},
36709  volume	= {241},
36710  pages		= {31--42}
36711}
36712
36713@Article{	  vandenberghe.demoor.ea:generalized,
36714  author	= {L. Vandenberghe and B. L. {De~Moor} and J. Vandewalle},
36715  title		= {The generalized linear complementarity problem applied to the complete analysis
36716		  of resistive piecewise-linear circuits},
36717  journal	= {IEEE Transactions on Circuits and Systems},
36718  volume	= {36},
36719  year		= {1989},
36720  pages		= {1382--1391}
36721}
36722
36723@Article{	  vanderbei.meketon.ea:modification,
36724  author	= {R. J. Vanderbei and M. S. Meketon and B. A. Freedman},
36725  title		= {A Modification of {K}armarkar's Algorithm},
36726  journal	= {Algorithmica},
36727  year		= {1986},
36728  volume	= {1},
36729  pages		= {395--407}
36730}
36731
36732@Article{	  vanderbei:affine-scaling,
36733  author	= {R. J. Vanderbei},
36734  title		= {Affine--Scaling for Linear Programs with Free Variables},
36735  journal	= {Mathematical Programming},
36736  year		= {1989},
36737  volume	= {43},
36738  pages		= {31--44}
36739}
36740
36741@Article{	  vanroy.wolsey:solving,
36742  author	= {T. J. Van~Roy and L. A. Wolsey},
36743  title		= {Solving Mixed Integer 0-1 Programs by Automatic Reformulation},
36744  journal	= {Operations Research},
36745  volume	= {35},
36746  pages		= {45--57},
36747  year		= {1987}
36748}
36749
36750@Book{		  vapnik:nature,
36751  author	= {V. N. Vapnik},
36752  title		= {The Nature of Statistical Learning Theory},
36753  publisher	= {John Wiley \& Sons},
36754  address	= {New York},
36755  year		= {1996}
36756}
36757
36758@Book{		  varian:microeconomic,
36759  author	= {Hal R. Varian},
36760  title		= {Microeconomic Analysis},
36761  year		= {1978},
36762  publisher	= {W.W. Norton \& Company},
36763  address	= {New York, New York}
36764}
36765
36766@Article{	  verhey:immobilizing,
36767  author	= {L. J. Verhey},
36768  title		= {Immobilizing and Positioning Patients for Radiotherapy},
36769  journal	= {Seminars in Radiation Oncology},
36770  year		= {1995},
36771  volume	= {5},
36772  number	= {2},
36773  pages		= {100--113}
36774}
36775
36776@Article{	  vinante.pintos:differentiable,
36777  author	= {C. Vinante and S. Pintos},
36778  title		= {On Differentiable Exact Penalty Functions},
36779  journal	= {Journal of Optimization Theory and Applications},
36780  year		= {1986},
36781  volume	= {50},
36782  pages		= {479--493}
36783}
36784
36785@Article{	  vlach:scheduling,
36786  author	= {M. Vlach},
36787  title		= {On Scheduling with Earliness and Tardiness Penalties},
36788  journal	= {Methods of Operations Research},
36789  year		= {1983},
36790  volume	= {45},
36791  pages		= {367--375}
36792}
36793
36794@InCollection{	  wacker:summary,
36795  author	= {H.--J. Wacker},
36796  title		= {A Summary of the Developments on Imbedding Methods},
36797  booktitle	= {Continuation Methods},
36798  year		= {1978},
36799  editor	= {H.--J. Wacker},
36800  publisher	= {Academic Press},
36801  address	= {New York},
36802  pages		= {1--35}
36803}
36804
36805@Article{	  wakefield.tin-loi:large,
36806  author	= {R. R. Wakefield and F. Tin-Loi},
36807  title		= {Large Scale Nonholonomic Elastoplastic Analysis using a Linear Complementarity
36808		  Formulation},
36809  journal	= {Computer Methods in Applied Mechanics and Engineering},
36810  volume	= {84},
36811  year		= {1990},
36812  pages		= {229--242}
36813}
36814
36815@Article{	  wakefield.tin-loi:large*1,
36816  author	= {R. R. Wakefield and F. Tin-Loi},
36817  title		= {Large Displacement Elastoplastic Analysis of Frames using an Iterative {LCP}
36818		  Approach},
36819  journal	= {International Journal Mechanical Science},
36820  volume	= {33},
36821  year		= {1991},
36822  pages		= {379--391}
36823}
36824
36825@Article{	  walker:implementation,
36826  author	= {H. F. Walker},
36827  title		= {Implementation of the {GMRES} method using {H}ouseholder transformations},
36828  journal	= {SIAM Journal on Scientific Computing},
36829  volume	= {9},
36830  year		= {1988},
36831  pages		= {152--163}
36832}
36833
36834@Book{		  wall.schwartz:programming,
36835  author	= {L. Wall and R. L. Schwartz},
36836  title		= {Programming Perl},
36837  publisher	= {O'Reilly and Associates, Inc.},
36838  address	= {Sebastopol, CA},
36839  year		= {1991}
36840}
36841
36842@Book{		  walras:elements,
36843  author	= {L. Walras},
36844  title		= {Elements of Pure Economics},
36845  publisher	= {Allen and Unwin},
36846  year		= {1954},
36847  address	= {London}
36848}
36849
36850@Article{	  wang.monteiro.ea:interior,
36851  author	= {T. Wang and R. D. C. Monteiro and J. S. Pang},
36852  title		= {An Interior Point Potential Reduction Method for Constrained Equations},
36853  journal	= {Mathematical Programming},
36854  volume	= {74},
36855  pages		= {159--196},
36856  year		= {1996}
36857}
36858
36859@Article{	  wardi:stochastic,
36860  author	= {Y. Wardi},
36861  title		= {A Stochastic Steepest-Descent Algorithm},
36862  journal	= {Journal of Optimization Theory and Applications},
36863  year		= {1988},
36864  volume	= {59},
36865  pages		= {307--323}
36866}
36867
36868@Article{	  wardi:stochastic*1,
36869  author	= {Y. Wardi},
36870  title		= {Stochastic Algorithms for with {A}rmijo Stepsizes for Minimization of Functions},
36871  journal	= {Journal of Optimization Theory and Applications},
36872  year		= {1990},
36873  volume	= {64},
36874  pages		= {399--417}
36875}
36876
36877@Article{	  wardrop:theoretical,
36878  author	= {J. G. Wardrop},
36879  title		= {Some Theoretical Aspects of Road Traffic Research},
36880  journal	= {Proceeding of the Institute of Civil Engineers, Part {II}},
36881  year		= {1952},
36882  pages		= {325--378}
36883}
36884
36885@Article{	  warga:minimizing,
36886  author	= {J. Warga},
36887  title		= {Minimizing certain convex functions},
36888  journal	= {Journal of SIAM on Applied Mathematics},
36889  year		= {1963},
36890  volume	= {11},
36891  pages		= {588--593}
36892}
36893
36894@Article{	  watson.billups.ea:hompack,
36895  author	= {L. T. Watson and S. C. Billups and A. P. Morgan},
36896  title		= {Algorithm 652: {HOMPACK}: {A} Suite of Codes for Globally Convergent Homotopy
36897		  Algorithms},
36898  journal	= {{ACM} Transactions on Mathematical Software},
36899  year		= {1987},
36900  volume	= {13},
36901  pages		= {281--310}
36902}
36903
36904@Article{	  watson.billups.ea:slow,
36905  author	= {L. T. Watson and S. C. Billups and C. Y. Wang},
36906  title		= {Slow Viscous Flow in a Syringe},
36907  journal	= {Journal of Biomechanical Engineering},
36908  year		= {1986},
36909  volume	= {108},
36910  pages		= {317--323}
36911}
36912
36913@Article{	  watson:discrete,
36914  author	= {G. A. Watson},
36915  title		= {Discrete $\ell_1$ approximation by rational functions},
36916  journal	= {IMA Journal of Numerical Analysis},
36917  year		= {1984},
36918  volume	= {4},
36919  pages		= {275--288}
36920}
36921
36922@Article{	  watson:solving,
36923  author	= {L. T. Watson},
36924  title		= {Solving the nonlinear complementarity problem by a homotopy method},
36925  journal	= {SIAM Journal on Control and Optimization},
36926  year		= {1979},
36927  volume	= {17},
36928  pages		= {36--46}
36929}
36930
36931@Article{	  webb:optimum,
36932  author	= {S. Webb},
36933  title		= {Optimum Parameters in a Model of Tumor Control Probability including Interpatient
36934		  Heterogeneity},
36935  journal	= {Physics in Medicine and Biology},
36936  year		= {1994},
36937  volume	= {39},
36938  pages		= {1895--1914}
36939}
36940
36941@Book{		  webb:physics,
36942  author	= {S. Webb},
36943  title		= {The Physics of Conformal Radiotherapy: Advances in Technology},
36944  publisher	= {Institute of Physics Publishing Ltd.},
36945  year		= {1997},
36946  optaddress	= {Philadelphia}
36947}
36948
36949@InBook{	  webb:theory,
36950  author	= {S. Webb},
36951  editor	= {E. Sternick},
36952  title		= {The Theory and Practice of Intensity Modulated Radiation Therapy},
36953  chapter	= {Inverse Planning for IMRT: the Role of Simulated Annealing},
36954  publisher	= {Advanced Medical Publishing},
36955  year		= {1997}
36956}
36957
36958@Book{		  weiss.kulikowski:computer,
36959  author	= {S. M. Weiss and C. A. Kulikowski},
36960  title		= {Computer Systems that Learn},
36961  year		= {1991},
36962  publisher	= {Morgan Kaufmann Publishers, Inc},
36963  address	= {San Mateo, California}
36964}
36965
36966@PhDThesis{	  werbos:beyond,
36967  author	= {P. J. Werbos},
36968  title		= {Beyond Regression: New Tools for Prediction and Analysis in the Behaviorial
36969		  Sciences},
36970  year		= {1974},
36971  school	= {Harvard University}
36972}
36973
36974@InCollection{	  wets:convergence,
36975  author	= {R. J.-B. Wets},
36976  title		= {Convergence of Convex Functions, Variational Inequalites, and Convex Optimization
36977		  Problems},
36978  booktitle	= {Variational Inequalites and Complementarity Problems},
36979  year		= {1980},
36980  editor	= {R. W. Cottle and F. Giannessi and J.--L. Lions},
36981  publisher	= {John Wiley \& Sons},
36982  address	= {New York},
36983  pages		= {375--403}
36984}
36985
36986@InCollection{	  wets:large,
36987  author	= {R. J.-B. Wets},
36988  title		= {Large Scale Linear Programming Techniques in Stochastic Programming},
36989  booktitle	= {Numerical Techniques for Stochastic Optimization},
36990  publisher	= {Springer-Verlag},
36991  year		= {1988},
36992  editor	= {Yu. M. Ermoliev and R. J. -B. Wets},
36993  address	= {Berlin},
36994  pages		= {65--93}
36995}
36996
36997@Article{	  white:asymptotic,
36998  author	= {H. White},
36999  title		= {Some asymptotic results for learning in single hidden-layer feedforward network
37000		  models},
37001  journal	= {Journal of the American Stattistical Association},
37002  year		= {1989},
37003  volume	= {84},
37004  number	= {408},
37005  pages		= {1003--1013}
37006}
37007
37008@Article{	  white:learning,
37009  author	= {H. White},
37010  title		= {Learning in artificial neural networks{:} {A} statistical perspective},
37011  journal	= {Neural Computation},
37012  year		= {1989},
37013  volume	= {1},
37014  pages		= {425--461}
37015}
37016
37017@InProceedings{	  whitley.starkweather.ea:scheduling,
37018  crossref	= {schaeffer:third},
37019  author	= {D. Whitley and T. Starkweather and D. Fuquay},
37020  title		= {Scheduling Problems and Travelling Salesmen: The Genetic Edge Recombination
37021		  Operator},
37022  pages		= {133--140}
37023}
37024
37025@Book{		  williams:model,
37026  author	= {H. P. Williams},
37027  title		= {Model Building in Mathematical Programming},
37028  publisher	= {John Wiley \& Sons},
37029  year		= {1990},
37030  edition	= {Third}
37031}
37032
37033@Book{		  wilmott.dewynne.ea:option,
37034  author	= {P. Wilmott and J. Dewynne and S. Howison},
37035  title		= {Option Pricing},
37036  publisher	= {Oxford Financial Press},
37037  year		= {1993},
37038  address	= {Oxford, England}
37039}
37040
37041@PhDThesis{	  wilson:simplicial,
37042  author	= {R. B. Wilson},
37043  title		= {A Simplicial Algorithm for Concave Programming},
37044  year		= {1963},
37045  address	= {Boston, MA},
37046  school	= {Graduate School of Business Administration, Harvard University}
37047}
37048
37049@TechReport{	  wolberg.bennett.ea:breast,
37050  author	= {W. H. Wolberg and K. P. Bennett and O. L. Mangasarian},
37051  title		= {Breast Cancer Diagnosis and Prognostic Determination from Cell Analysis},
37052  institution	= {Departments of Surgery and Human Oncology and Computer Sciences, University of
37053		  Wisconsin},
37054  year		= {1992},
37055  address	= {Madison, WI 53706},
37056  type		= {Manuscript}
37057}
37058
37059@Article{	  wolberg.mangasarian:multisurface,
37060  author	= {W. H. Wolberg and O. L. Mangasarian},
37061  title		= {Multisurface Method of Pattern Separation for Medical Diagnosis Applied to Breast
37062		  Cytology},
37063  journal	= {Proceedings of the National Academy of Sciences,U.S.A.},
37064  year		= {1990},
37065  volume	= {87},
37066  pages		= {9193--9196}
37067}
37068
37069@Unpublished{	  wolberg.mangasarian:wbcd,
37070  author	= {W. H. Wolberg and O. L. Mangasarian},
37071  title		= {{WBCD: Wisconsin Breast Cancer Database}},
37072  year		= {1991},
37073  note		= {Computer Sciences Department, University of Wisconsin, Madison, ftp: //ftp. cs.
37074		  wisc.edu/math-prog/cpo-dataset/machine-learn/cancer1/}
37075}
37076
37077@Article{	  wolberg.street.ea:breast,
37078  author	= {W. H. Wolberg and W. N. Street and O. L. Mangasarian},
37079  title		= {Breast Cytology Diagnosis via Digital Image Analysis},
37080  journal	= {Analytical and Quantitative Cytology and Histology},
37081  year		= {1993},
37082  volume	= {15},
37083  number	= {6},
37084  pages		= {396--404}
37085}
37086
37087@Unpublished{	  wolberg.street.ea:wdbc,
37088  author	= {W. H. Wolberg and W. N. Street and O. L. Mangasarian},
37089  title		= {{WDBC: Wisconsin Diagnostic Breast Cancer Database}},
37090  year		= {1995},
37091  note		= {Computer Sciences Department, University of Wisconsin, Madison, ftp: //ftp.
37092		  cs.wisc.edu/math-prog/cpo-dataset/machine-learn/WDBC/}
37093}
37094
37095@Unpublished{	  wolberg.street.ea:wpbc,
37096  author	= {W. H. Wolberg and W. N. Street and O. L. Mangasarian},
37097  title		= {{WPBC: Wisconsin Prognostic Breast Cancer Database}},
37098  year		= {1995},
37099  note		= {Computer Sciences Department, University of Wisconsin, Madison, ftp: //ftp.
37100		  cs.wisc.edu/math-prog/cpo-dataset/machine-learn/WPBC/}
37101}
37102
37103@Book{		  wolsey:integer,
37104  author	= {L. A. Wolsey},
37105  title		= {Integer Programming},
37106  publisher	= {John Wiley \& Sons},
37107  year		= {1998},
37108  address	= {New York, NY}
37109}
37110
37111@Article{	  womersley:local,
37112  author	= {R. S. Womersley},
37113  title		= {Local Properties of Algorithms for Minimizing Composite Functions},
37114  journal	= {Mathematical Programming},
37115  year		= {1985},
37116  volume	= {32},
37117  pages		= {69--89}
37118}
37119
37120@Article{	  woo.sanders.ea:peacock,
37121  author	= {S. Y. Woo and M. Sanders and W. Grant and E. B. Butler},
37122  title		= {Does the ``peacock'' have anything to do with radiotherapy?},
37123  journal	= {International Journal of Radiation Oncology, Biology and Physics},
37124  year		= {1994},
37125  volume	= {29},
37126  number	= {1},
37127  pages		= {213--214}
37128}
37129
37130@Article{	  wright.ralph:superlinear,
37131  author	= {S. J. Wright and D. Ralph},
37132  title		= {A Superlinear Infeasible--Interior--Point Algorithm for Monotone Complementarity
37133		  Problems},
37134  year		= {1996},
37135  journal	= {Mathematics of Operations Research},
37136  volume	= {21},
37137  pages		= {815--838}
37138}
37139
37140@TechReport{	  wright.zhang:superquadratic,
37141  author	= {S. J. Wright and Y. Zhang},
37142  title		= {A Superquadratic Infeasible--Interior--Point Method for linear complementarity
37143		  problems},
37144  institution	= {Argonne National Laboratory},
37145  year		= {1994},
37146  annote	= {revised},
37147  number	= {MCS--P418--0294},
37148  address	= {Argonne, Illinois},
37149  type		= {Preprint}
37150}
37151
37152@TechReport{	  wright:dynfgm,
37153  author	= {S. E. Wright},
37154  title		= {{DYNFGM}: Dynamic Finite Generation Method},
37155  institution	= {Department of Mathematics, University of Washington},
37156  year		= {1989},
37157  address	= {Seattle, Washington}
37158}
37159
37160@Article{	  wright:infeasible-interior-point,
37161  author	= {S. J. Wright},
37162  title		= {An Infeasible--Interior--Point Algorithm for Linear Complementarity Problems},
37163  journal	= {Mathematical Programming},
37164  volume	= {67},
37165  pages		= {29--51},
37166  year		= {1994}
37167}
37168
37169@Article{	  wright:path-following,
37170  author	= {S. J. Wright},
37171  title		= {A Path--Following Infeasible--Interior--Point Algorithm for Linear
37172		  Complementarity Problems},
37173  journal	= {Optimization Methods and Software},
37174  year		= {1993},
37175  volume	= {2},
37176  pages		= {79--106}
37177}
37178
37179@TechReport{	  wright:path-following*1,
37180  author	= {S. J. Wright},
37181  title		= {A Path--Following Infeasible--Interior--Point Algorithm for Linear and Quadratic
37182		  Problems},
37183  institution	= {Argonne National Laboratory},
37184  year		= {1993},
37185  number	= {MCS--P401--1293},
37186  address	= {Argonne, Illinois}
37187}
37188
37189@Book{		  wright:primal-dual,
37190  author	= {S. J. Wright},
37191  title		= {Primal--Dual Interior--Point Methods},
37192  year		= {1997},
37193  publisher	= {SIAM},
37194  address	= {Philadelphia, Pennsylvania}
37195}
37196
37197@TechReport{	  wright:reduced,
37198  author	= {S. J. Wright},
37199  title		= {On Reduced Convex QP Formulations of Monotone LCP Problems},
37200  institution	= {Argonne National Laboratory},
37201  year		= {2000},
37202  number	= {MCS--P808--0400},
37203  address	= {Argonne, Illinois}
37204}
37205
37206@Article{	  wright:solution,
37207  author	= {S. J. Wright},
37208  title		= {Solution of Discrete--Time Optimal Control Problems on Parallel Computers},
37209  journal	= {Parallel Computing},
37210  year		= {1990},
37211  volume	= {16},
37212  pages		= {221--238}
37213}
37214
37215@Article{	  wu.bourland:morphology,
37216  author	= {Q. J. Wu and J. D. Bourland},
37217  title		= {Morphology-guided radiosurgery treatment planning and optimization for multiple
37218		  isocenters},
37219  journal	= {Medical Physics},
37220  year		= {1999},
37221  volume	= {26},
37222  number	= {10},
37223  pages		= {2151--2160}
37224}
37225
37226@Misc{		  wunderling:soplex,
37227  author	= {R. Wunderling},
37228  title		= {{SOPLEX}: The Sequential Object-Oriented Simplex Class Library},
37229  howpublished	= {http://www.zib.de/Optimization/Software/Soplex/}
37230}
37231
37232@Article{	  xiao.harker:nonsmooth,
37233  author	= {B. Xiao and P. T. Harker},
37234  title		= {A Nonsmooth {N}ewton Method for Variational Inequalities: {I}: Theory},
37235  journal	= {Mathematical Programming},
37236  year		= {1994},
37237  volume	= {65},
37238  pages		= {151--194}
37239}
37240
37241@Article{	  xiao.harker:nonsmooth*1,
37242  author	= {B. Xiao and P. T. Harker},
37243  title		= {A Nonsmooth {N}ewton Method for Variational Inequalities: {II}: Numerical
37244		  Results},
37245  journal	= {Mathematical Programming},
37246  year		= {1994},
37247  volume	= {65},
37248  pages		= {195--216}
37249}
37250
37251@Article{	  xiao.zhou:nonmonotone,
37252  author	= {Y. Xiao and F. J. Zhou},
37253  title		= {Nonmonotone Trust Region Methods with Curvilinear Paths in Unconstrained
37254		  Minimization},
37255  journal	= {Computing},
37256  year		= {1992},
37257  volume	= {48},
37258  pages		= {303--317}
37259}
37260
37261@TechReport{	  xiao:global,
37262  author	= {B. Xiao},
37263  title		= {Global {N}ewton methods for nonlinear problems and variational inequalities: a
37264		  {B}-differentiable equation approach},
37265  type		= {{Ph.D. Thesis}},
37266  year		= {1990},
37267  institution	= {Department of Decision Sciences, The Warton School, University of Pennsylvania},
37268  address	= {Philadelphia, PA}
37269}
37270
37271@Article{	  xu.burke:polynomial,
37272  author	= {S. Xu and J. V. Burke},
37273  title		= {A Polynomial Time Interior-Point Path-Following Algorithm for {LCP} based on
37274		  {C}hen-{H}arker-{K}anzow Smoothing Techniques},
37275  year		= {1999},
37276  journal	= {Mathematical Programming},
37277  volume	= {86},
37278  pages		= {91--104}
37279}
37280
37281@TechReport{	  xu:global,
37282  author	= {S. Xu},
37283  title		= {The Global Linear Convergence of an Infeasible Non-Interior Path-Following
37284		  Algorithm for Complementarity Problems with Uniform {P}-Functions},
37285  institution	= {Department of Mathematics, University of Washington},
37286  year		= {1996},
37287  type		= {Technical Report},
37288  address	= {Seattle, WA}
37289}
37290
37291@Article{	  yajima.konno:efficient,
37292  author	= {Y. Yajima and H. Konno},
37293  title		= {Efficient Algorithms for Solving Rank Two and Rank Three Bilinear Programming
37294		  Problems},
37295  journal	= {Journal of Global Optimization},
37296  year		= {1991},
37297  volume	= {1:1},
37298  pages		= {155--171}
37299}
37300
37301@Article{	  yamamoto:path-following,
37302  author	= {Y. Yamamoto},
37303  title		= {A Path--Following Algorithm for Stationary Point Problems},
37304  journal	= {Journal of Operations Society of Japan},
37305  year		= {1987},
37306  volume	= {30},
37307  pages		= {181--198}
37308}
37309
37310@Article{	  yamashita.fukushima:modified,
37311  author	= {N. Yamashita and M. Fukushima},
37312  title		= {Modified {N}ewton Methods for Solving a Semismooth Reformulation of Monotone
37313		  Complementarity Problems},
37314  journal	= {Mathematical Programming},
37315  year		= {1997},
37316  volume	= {76},
37317  pages		= {469--492}
37318}
37319
37320@Article{	  yamashita.fukushima:stationary,
37321  author	= {N. Yamashita and M. Fukushima},
37322  title		= {On Stationary Points of the Implicit Lagrangian for Nonlinear Complementarity
37323		  Problems},
37324  journal	= {Journal of Optimization Theory and Applications},
37325  volume	= {84},
37326  pages		= {653--663},
37327  year		= {1995}
37328}
37329
37330@Article{	  yamashita.taji.ea:unconstrained,
37331  author	= {N. Yamashita and K. Taji and M. Fukushima},
37332  title		= {Unconstrained Optimization Reformulations of Variational Inequality Problems},
37333  journal	= {Journal of Optimization Theory and Applications},
37334  year		= {1997},
37335  volume	= {92},
37336  pages		= {439--456}
37337}
37338
37339@TechReport{	  yamashita:properties,
37340  author	= {N. Yamashita},
37341  title		= {Some Properties of the Restricted {NCP}-Functions for the Nonlinear
37342		  Complementarity Problem},
37343  institution	= {Department of Applied Mathematics and Physics, Kyoto University},
37344  year		= {1996},
37345  type		= {Technical Report},
37346  address	= {Kyoto, Japan}
37347}
37348
37349@Article{	  yang.mackie.ea:investigation,
37350  author	= {J. N. Yang and T. R. Mackie and P. Reckwerdt and J. O. Deasy and B. R.
37351		  Thomadsen},
37352  title		= {An investigation of tomotherapy beam delivery},
37353  journal	= {Medical Physics},
37354  year		= {1997},
37355  volume	= {24},
37356  number	= {3},
37357  pages		= {425--436}
37358}
37359
37360@Article{	  yan.shu.ea:clinical,
37361  author	= {Y. Yan and H. Shu and X. Bao},
37362  title		= {Clinical Treatment Planning Optimization by {P}owell's method for {G}amma Unit
37363		  Treatmen System},
37364  journal	= {International Journal of Radiation Oncology, Biology and Physics},
37365  year		= {1997},
37366  volume	= {39},
37367  pages		= {247--254}
37368}
37369
37370@Article{	  yau.gao:obstacle,
37371  author	= {S. T. Yau and Y. Gao},
37372  title		= {Obstacle problem for von {K}arm\'an equations},
37373  journal	= {Advances in Applied Mathematics},
37374  volume	= {13},
37375  year		= {1992},
37376  pages		= {123--141}
37377}
37378
37379@Article{	  ye.tse:extension,
37380  author	= {Y. Ye and E. Tse},
37381  title		= {An Extension of {K}armarkar's Projective Algorithm for Convex Quadratic
37382		  Programming},
37383  journal	= {Mathematical Programming},
37384  year		= {1989},
37385  volume	= {44}
37386}
37387
37388@Article{	  ye:affine,
37389  author	= {Y. Ye},
37390  title		= {On affine scaling algorithms for nonconvex quadratic programming},
37391  journal	= {Mathematical Programming},
37392  year		= {1992},
37393  volume	= {56},
37394  pages		= {285--300}
37395}
37396
37397@PhDThesis{	  ye:interior,
37398  author	= {Y. Ye},
37399  title		= {Interior Algorithms for Linear, Quadratic, and Linearly Constrained Convex
37400		  Programming},
37401  year		= {1987},
37402  address	= {Stanford, California},
37403  school	= {Department of Engineering--Economic Systems, Stanford University}
37404}
37405
37406@Book{		  ye:interior*1,
37407  author	= {Y. Ye},
37408  title		= {Interior-Point Algorithms: Theory and Analysis},
37409  publisher	= {John Wiley \& Sons},
37410  year		= {1997},
37411  address	= {New York, NY}
37412}
37413
37414@Article{	  yu:convergence,
37415  author	= {W. --C. Yu},
37416  title		= {The Convergence Property of the Simplex Evolutionary Techniques},
37417  journal	= {Scientia Sinica, Special issue of Mathematics},
37418  year		= {1979},
37419  volume	= {1},
37420  pages		= {68--77}
37421}
37422
37423@Article{	  yu.schell:genetic,
37424  author	= {Y. Yu and M. C. Schell},
37425  title		= {A Genetic Algorithm for the Optimization of Prostate Implants},
37426  journal	= {Medical Physics},
37427  year		= {1996},
37428  volume	= {23},
37429  pages		= {2085--2091}
37430}
37431
37432@Article{	  yuan:superlinear,
37433  author	= {Y. Yuan},
37434  title		= {On the Superlinear Convergence of a Trust Region Algorithm for Nonmooth
37435		  Optimization},
37436  journal	= {Mathematical Programming},
37437  year		= {1985},
37438  volume	= {31},
37439  pages		= {269--285}
37440}
37441
37442@Book{		  zangwill:nonlinear,
37443  author	= {W. I. Zangwill},
37444  title		= {Nonlinear Programming: {A} Unified Approach},
37445  year		= {1969},
37446  publisher	= {Prentice-Hall, Inc},
37447  address	= {Englewood Cliffs, New Jersey}
37448}
37449
37450@TechReport{	  zangwill:nonlinear*1,
37451  author	= {W. I. Zangwill},
37452  title		= {Nonlinear Programming by Sequential Unconstrained Maximization},
37453  institution	= {Center for Research in Management Science, University of California},
37454  year		= {1965},
37455  address	= {Berkeley},
37456  number	= {131},
37457  type		= {Working Paper}
37458}
37459
37460@Article{	  zangwill:nonlinear*2,
37461  author	= {W. I. Zangwill},
37462  title		= {Nonlinear Programming via Penalty Functions},
37463  journal	= {Management Science},
37464  year		= {1967},
37465  volume	= {13},
37466  pages		= {344--358}
37467}
37468
37469@TechReport{	  zenios.censor:massively,
37470  author	= {S. A. Zenios and Y. Censor},
37471  title		= {Massively Parallel Row-Action Algorithms for some Nonlinear Transportation
37472		  Problems},
37473  institution	= {decision sciences department, Wharton School, University of Pennsylvania},
37474  year		= {1990},
37475  type		= {report},
37476  number	= {89-09-10},
37477  address	= {Philadelphia, PA}
37478}
37479
37480@Article{	  zenios.lasken:nonlinear,
37481  author	= {S. A. Zenios and R. A. Lasken},
37482  title		= {Nonlinear Network Optimization on a Massively Parallel {C}onnection {M}achine},
37483  journal	= {Annals of Operations Research},
37484  year		= {1988},
37485  volume	= {14},
37486  pages		= {147--163}
37487}
37488
37489@Article{	  zenios.mulvey:distributed,
37490  author	= {S. A. Zenios and J. M. Mulvey},
37491  title		= {A Distributed Algorithm for Convex Network Optimization Problems},
37492  journal	= {Parallel Computing},
37493  year		= {1988},
37494  volume	= {6},
37495  pages		= {43--56}
37496}
37497
37498@TechReport{	  zenios.neilsen:massively,
37499  author	= {S. A. Zenios and S. Neilsen},
37500  title		= {Massively Parallel Algorithms for Singly Constrained Nonlinear Programs},
37501  institution	= {Decision Sciences Department, Wharton School, University of Pennsylvania},
37502  year		= {1990},
37503  type		= {report},
37504  number	= {90-03-01},
37505  address	= {Philadelphia, PA}
37506}
37507
37508@TechReport{	  zenios.qi.ea:comparative,
37509  author	= {S. A. Zenios and R. Qi and E. D. Chajakis},
37510  title		= {A Comparative Study of Parallel Dual Coordinate Ascent Implementations for
37511		  Nonlinear Network Optimization},
37512  institution	= {Decision Sciences Department, Wharton School, University of Pennsylvania},
37513  year		= {1990},
37514  type		= {report},
37515  number	= {89-10-02},
37516  address	= {Philadelphia, PA}
37517}
37518
37519@Article{	  zhang.kim.ea:improved,
37520  author	= {J. Zhang and N.--H. Kim and L. Lasdon},
37521  title		= {An Improved Successive Linear Programming Algorithm},
37522  year		= {1985},
37523  journal	= {Management Science},
37524  volume	= {31},
37525  pages		= {1312--1331}
37526}
37527
37528@Article{	  zhang.tapia.ea:superlinear,
37529  author	= {Y. Zhang and R. A. Tapia and F. Potra},
37530  title		= {On the Superlinear Convergence of Interior Points Algorithms for a general class
37531		  of problems},
37532  journal	= {SIAM Journal on Optimization},
37533  year		= {1993},
37534  volume	= {3},
37535  number	= {?},
37536  pages		= {413--422},
37537  month		= {??}
37538}
37539
37540@Article{	  zhang.tapia:superlinearly,
37541  author	= {Y. Zhang and R. A. Tapia},
37542  title		= {A superlinearly convergent polynomial primal-dual interior-point algorirthm for
37543		  linear programming},
37544  journal	= {SIAM Journal on Optimization},
37545  year		= {1993},
37546  volume	= {3},
37547  pages		= {118--133}
37548}
37549
37550@TechReport{	  zhang.zhang:superlinear,
37551  author	= {Y. Zhang and D. Zhang},
37552  title		= {Superlinear convergence of infeasible interior-point methods for linear
37553		  programming},
37554  institution	= {Department of Mathematics and Statistics, University of Maryland},
37555  year		= {1992},
37556  number	= {92-15},
37557  address	= {Baltimore County, Maryland}
37558}
37559
37560@Article{	  zhang:convergence,
37561  author	= {Yin Zhang},
37562  title		= {On the Convergence of a Class of Infeasible Interior--Point Methods for the
37563		  Horizontal Linear Complementarity Problem},
37564  journal	= {SIAM Journal on Optimization},
37565  year		= {1994},
37566  volume	= {4},
37567  pages		= {208--227}
37568}
37569
37570@Article{	  zhang:convergence*1,
37571  author	= {Y. Zhang},
37572  title		= {On the convergence of a class of infeasible interior-point methods for the
37573		  horizontal linear complementarity problem},
37574  journal	= {SIAM Journal on Optimization},
37575  year		= {1994},
37576  volume	= {4},
37577  pages		= {208--227}
37578}
37579
37580@Article{	  zhu.rockafellar:primal-dual,
37581  author	= {C. Y. Zhu and R. T. Rockafellar},
37582  title		= {Primal-Dual Projected Gradient Algorithms for Extended Linear-Quadratic
37583		  Programming},
37584  journal	= {SIAM Journal on Optimization},
37585  year		= {1993},
37586  volume	= {3},
37587  pages		= {751--783}
37588}
37589
37590@Article{	  zhu:modified,
37591  author	= {C. Y. Zhu},
37592  title		= {Modified Proximal Point Algorithm for Extended Linear--Quadratic Programming},
37593  journal	= {Computational Optimization and Applications},
37594  year		= {1992},
37595  volume	= {2},
37596  pages		= {182--205}
37597}
37598
37599@Article{	  zhu:primal-dual,
37600  author	= {C. Y. Zhu},
37601  title		= {On the Primal--Dual Steepest Descent Algorithm for Extended Linear--Quadratic
37602		  Programming},
37603  journal	= {SIAM Journal on Optimization},
37604  year		= {1995},
37605  volume	= {5},
37606  pages		= {114--128}
37607}
37608
37609@Book{		  zoutendijk:methods,
37610  author	= {G. Zoutendijk},
37611  title		= {Methods of Feasible Directions},
37612  year		= {1960},
37613  publisher	= {Elsevier Publishing Company},
37614  address	= {Amsterdam}
37615}
37616
37617@Article{	  zowe.kurcyusz:regularity,
37618  author	= {J. Zowe and S. Kurcyusz},
37619  title		= {Regularity and Stability for Mathematical Programming in {B}anach Spaces},
37620  journal	= {Applied Mathematics and Optimization},
37621  year		= {1979},
37622  volume	= {5},
37623  pages		= {49--62}
37624}
37625
37626@InProceedings{	  zowe:nondifferentiable,
37627  author	= {J. Zowe},
37628  title		= {Nondifferentiable Optimization},
37629  booktitle	= {Computational Mathematical Programming},
37630  year		= {1985},
37631  editor	= {K. Schittkowski},
37632  publisher	= {Springer-Verlag},
37633  address	= {Berlin}
37634}
37635
37636@Proceedings{	  bachem.grotschel.ea:mathematical,
37637  booktitle	= {Mathematical Programming: The State of the Art, Bonn 1982},
37638  title		= {Mathematical Programming: The State of the Art, Bonn 1982},
37639  year		= {1983},
37640  editor	= {A. Bachem and M. Gr{\"{o}}tchel and B. Korte},
37641  publisher	= {Springer Verlag},
37642  address	= {Berlin}
37643}
37644
37645@Proceedings{	  belew.booker:fourth,
37646  year		= {1991},
37647  editor	= {R. K. Belew and L. B. Booker},
37648  publisher	= {Morgan Kaufmann Publishers, Inc},
37649  address	= {San Mateo, California},
37650  booktitle	= {Proceedings of the Fourth International Conference on Genetic Algorithms}
37651}
37652
37653@Proceedings{	  coleman.li:large-scale,
37654  year		= {1990},
37655  editor	= {T. F. Coleman and Y. Li},
37656  publisher	= {SIAM},
37657  address	= {Philadelphia, Pennsylvania},
37658  note		= {Proceedings of the Workshop on Large-Scale Numerical Optimization, Cornell
37659		  University, Ithaca, New York, October 19-20, 1989},
37660  booktitle	= {Large-Scale Numerical Optimization}
37661}
37662
37663@Book{		  davis:genetic,
37664  title		= {Genetic Algorithms and Simulated Annealing},
37665  year		= {1987},
37666  editor	= {L. D. Davis},
37667  publisher	= {Pitman},
37668  address	= {London},
37669  booktitle	= {Genetic Algorithms and Simulated Annealing}
37670}
37671
37672@Proceedings{	  ferris.pang:complementarity,
37673  title		= {Complementarity and Variational Problems: State of the Art},
37674  booktitle	= {Complementarity and Variational Problems: State of the Art},
37675  year		= {1997},
37676  key		= {57},
37677  editor	= {M. C. Ferris and J. S. Pang},
37678  publisher	= {SIAM Publications},
37679  address	= {Philadelphia, Pennsylvania}
37680}
37681
37682@Proceedings{	  ferris.mangasarian.ea:complementarity,
37683  title		= {Complementarity: Applications, Algorithms and Extensions},
37684  booktitle	= {Complementarity: Applications, Algorithms and Extensions},
37685  year		= {2001},
37686  key		= {95},
37687  editor	= {M. C. Ferris and O.L. Mangasarian and J. S. Pang},
37688  publisher	= {Kluwer Academic Publishers},
37689  address	= {Dordrecht, The Netherlands}
37690}
37691
37692@Proceedings{	  florian:traffic,
37693  title		= {Traffic Equilibrium Methods},
37694  year		= {1976},
37695  editor	= {M. Florian},
37696  publisher	= {Springer-Verlag},
37697  address	= {Berlin}
37698}
37699
37700@Proceedings{	  grefenstette:genetic,
37701  title		= {Genetic Algorithms and their Applications: Proceedings of the Second
37702		  International Conference on Genetic Algorithms},
37703  year		= {1987},
37704  editor	= {J. J. Grefenstette},
37705  publisher	= {Lawrence Erlbaum Associates},
37706  address	= {Hillsdale, New Jersey},
37707  booktitle	= {Genetic Algorithms and their Applications: Proceedings of the Second
37708		  International Conference on Genetic Algorithms}
37709}
37710
37711@Proceedings{	  mangasarian.meyer.ea:nonlinear*2,
37712  booktitle	= {Nonlinear Programming},
37713  volume	= {2},
37714  editor	= {O. L. Mangasarian and R. R. Meyer and S. M. Robinson},
37715  publisher	= {Academic Press},
37716  address	= {New York},
37717  year		= {1975}
37718}
37719
37720@Proceedings{	  mangasarian.meyer.ea:nonlinear*3,
37721  booktitle	= {Nonlinear Programming},
37722  volume	= {3},
37723  editor	= {O. L. Mangasarian and R. R. Meyer and S. M. Robinson},
37724  publisher	= {Academic Press},
37725  address	= {London},
37726  year		= {1978}
37727}
37728
37729@Proceedings{	  robinson:local,
37730  title		= {Local Structure of Feasible Sets in Nonlinear Programming, {P}art~{I}:
37731		  Regularity},
37732  year		= {1983},
37733  editor	= {V. Pereyra and A. Reinoza},
37734  publisher	= {Springer-Verlag},
37735  address	= {Berlin},
37736  author	= {S. M. Robinson},
37737  pages		= {240--251},
37738  series	= {Numerical Methods: Proceedings, Caracas 1982}
37739}
37740
37741@Proceedings{	  schaeffer:third,
37742  year		= {1989},
37743  editor	= {J. D. Schaeffer},
37744  publisher	= {Morgan Kaufmann Publishers, Inc},
37745  address	= {San Mateo, California},
37746  booktitle	= {Proceedings of the Third International Conference on Genetic Algorithms}
37747}
37748
37749@Book{		  vanderbei:linear,
37750  author	= {R. J. Vanderbei},
37751  title		= {Linear Programming: Foundations and Extensions},
37752  year		= {1997},
37753  publisher	= {Kluwer Academic Publishers},
37754  address	= {Boston, Massachusetts}
37755}
37756
37757@Book{		  dfobook,
37758  title		= {Introduction to Derivative-Free Optimization},
37759  publisher	= {Society for Industrial and Applied Mathematics},
37760  year		= {2009},
37761  author	= {Andrew R. Conn and Katya Scheinberg and Lu\'is N. Vicente},
37762  series	= {MPS/SIAM Series on Optimization},
37763  address	= {Philadelphia, PA, USA},
37764  isbn		= {0-89871-460-5}
37765}
37766
37767@Article{	  unedf0,
37768  author	= {{Kortelainen}, M. and {Lesinski}, T. and {Mor{\'e}}, J. and {Nazarewicz}, W. and
37769		  {Sarich}, J. and {Schunck}, N. and {Stoitsov}, M.~V. and {Wild}, S.~M.},
37770  title		= {Nuclear Energy Density Optimization},
37771  journal	= {Physical Review C},
37772  year		= {2010},
37773  volume	= {82},
37774  number	= {2},
37775  pages		= {024313},
37776  doi		= {10.1103/PhysRevC.82.024313}
37777}
37778
37779@Article{	  hestenes1969multiplier,
37780  title		= {Multiplier and gradient methods},
37781  author	= {Hestenes, Magnus R},
37782  journal	= {Journal of optimization theory and applications},
37783  volume	= {4},
37784  number	= {5},
37785  pages		= {303--320},
37786  year		= {1969},
37787  publisher	= {Springer}
37788}
37789
37790@Article{	  powell1969method,
37791  title		= {A method for nonlinear constraints in minimization problems},
37792  author	= {Powell, Michael JD},
37793  journal	= {Optimization},
37794  pages		= {283--298},
37795  year		= {1969},
37796  publisher	= {Academic Press}
37797}
37798
37799@Book{		  nocedal2006numerical,
37800  title		= {Numerical optimization},
37801  author	= {Nocedal, Jorge and Wright, Stephen},
37802  year		= {2006},
37803  publisher	= {Springer Science \& Business Media}
37804}
37805
37806@Article{	  rockafellar1974augmented,
37807  title		= {Augmented Lagrange multiplier functions and duality in nonconvex programming},
37808  author	= {Rockafellar, R Tyrrell},
37809  journal	= {SIAM Journal on Control},
37810  volume	= {12},
37811  number	= {2},
37812  pages		= {268--285},
37813  year		= {1974},
37814  publisher	= {SIAM}
37815}
37816
37817@Article{	  bacuta2006,
37818  title		= {A unified approach for Uzawa algorithms},
37819  author	= {Constantin Bacuta},
37820  journal	= {SIAM Journal on Numerical Analysis},
37821  volume	= {44},
37822  number	= {6},
37823  pages		= {2633--2649},
37824  year		= {2006}
37825}
37826
37827@Article{	  manteuffelrugesouthworth2018,
37828  title		= {Nonsymmetric algebraic multigrid based on local approximate ideal restriction
37829		  (AIR)},
37830  author	= {Thomas A Manteuffel and John Ruge and Ben S Southworth},
37831  journal	= {SIAM Journal on Scientific Computing},
37832  volume	= {40},
37833  number	= {6},
37834  pages		= {A4105--A4130},
37835  year		= {2018}
37836}
37837
37838@Article{	  manteuffelmunzenmaierrugesouthworth2019,
37839  title		= {Nonsymmetric reduction-based algebraic multigrid},
37840  author	= {Thomas A Manteuffel and Steffen M\"unzenmaier and John Ruge and Ben S Southworth},
37841  journal	= {SIAM Journal on Scientific Computing},
37842  volume	= {41},
37843  number	= {5},
37844  pages		= {S242--S268},
37845  year		= {2019}
37846}
37847
37848@PhDThesis{	  sivas2021,
37849  title		= {Preconditioning of HDG for the Navier–Stokes Equations},
37850  author	= {Abdullah Ali Sivas},
37851  department	= {Applied Mathematics},
37852  institution	= {University of Waterloo},
37853  year		= {2021}
37854}
37855
37856@Article{	  brookshughes1982,
37857  title		= {Streamline upwind/{Petrov-Galerkin} formulations for convection dominated flows
37858		  with particular emphasis on the incompressible {Navier-Stokes} equations},
37859  author	= {Alexander N Brooks and Thomas JR Hughes},
37860  journal	= {Computer methods in applied mechanics and engineering},
37861  volume	= {32},
37862  number	= {1-3},
37863  pages		= {199--259},
37864  year		= {1982},
37865  publisher	= {Elsevier}
37866}
37867
37868@InProceedings{	  suhisaac2020,
37869  title		= {Evaluation of a minimally synchronous algorithm for 2: 1 octree balance},
37870  author	= {Hansol Suh and Tobin Isaac},
37871  booktitle	= {SC20: International Conference for High Performance Computing, Networking,
37872		  Storage and Analysis},
37873  pages		= {1--12},
37874  year		= {2020},
37875  organization	= {IEEE}
37876}
37877
37878@Misc{		  alauzet2010,
37879  title		= {Metric-Based Anisotropic Mesh Adaptation},
37880  author	= {Fr\'{e}d\'{e}ric Alauzet},
37881  howpublished	= {\url{https://pages.saclay.inria.fr/frederic.alauzet/cours/cea2010_V3.pdf}},
37882  year		= {2010}
37883}
37884
37885@Article{	  chan1994qmrcgs,
37886  title		= {A quasi-minimal residual variant of the {Bi-CGSTAB} algorithm for nonsymmetric
37887		  systems},
37888  author	= {Chan, Tony F and Gallopoulos, Efstratios and Simoncini, Valeria and Szeto, Tedd
37889		  and Tong, Charles H},
37890  journal	= {SIAM Journal on Scientific Computing},
37891  volume	= {15},
37892  number	= {2},
37893  pages		= {338--347},
37894  year		= {1994},
37895  publisher	= {SIAM}
37896}
37897
37898@Article{	  ghai2019comparison,
37899  title		= {A comparison of preconditioned {K}rylov subspace methods for large-scale
37900		  nonsymmetric linear systems},
37901  author	= {Ghai, Aditi and Lu, Cao and Jiao, Xiangmin},
37902  journal	= {Numerical Linear Algebra with Applications},
37903  volume	= {26},
37904  number	= {1},
37905  pages		= {e2215},
37906  year		= {2019},
37907  publisher	= {Wiley Online Library}
37908}
37909
37910@Article{	  mishrasalacknepley2022,
37911  title		= {On the order of accuracy for finite difference approximations of partial
37912		  differential equations using stencil composition},
37913  author	= {Abhishek Mishra and David Salac and Matthew G. Knepley},
37914  journal	= {International Journal on Numerical Methods in Engineering},
37915  note		= {Submitted},
37916  year		= {2022}
37917}
37918
37919@Article{	  nathawaniknepley2022,
37920  title		= {Droplet formation simulation using mixed finite elements},
37921  author	= {Darsh K. Nathawani and Matthew G. Knepley},
37922  journal	= {Physics of Fluids},
37923  volume	= {34},
37924  pages		= {064105},
37925  doi		= {10.1063/5.0089752},
37926  year		= {2022}
37927}
37928
37929@InProceedings{	  nathawaniknepley2022b,
37930  title		= {Simulating Paraffin Wax Droplets Using Mixed Finite Element Method},
37931  author	= {Darsh K. Nathawani and Matthew G. Knepley},
37932  booktitle	= {Proceeedings of the International Conference on Computational Fluid Dynamics 11
37933		  (ICCFD11)},
37934  editor	= {Christoph Brehm and Shishir Pandya},
37935  number	= {4103},
37936  year		= {2022}
37937}
37938
37939@Article{	  nathawaniknepley2023,
37940  title		= {One-dimensional model to simulate shear-induced droplet formation},
37941  author	= {Darsh K. Nathawani and Matthew G. Knepley},
37942  journal	= {Physics of Fluids},
37943  note		= {Submitted},
37944  year		= {2023}
37945}
37946
37947@Article{	  georgalisnathawaniknepleypatra2023,
37948  title		= {Uncertainty quantification of droplet atomization and pinch-off with {Gaussian
37949		  Processes}},
37950  author	= {Georgios Georgalis and Darsh K. Nathawani and Matthew G. Knepley and Abani
37951		  Patra},
37952  note		= {In preparation},
37953  year		= {2023}
37954}
37955
37956@Article{	  brownbarrabeamsghaffariknepleymosesshakeristengelthompsonzhang2022,
37957  title		= {Performance Portable Solid Mechanics via Matrix-Free $p$-Multigrid},
37958  author	= {Jed Brown and Valeria Barra and Natalie Beams and Leila Ghaffari and Matthew
37959		  Knepley and William Moses and Rezgar Shakeri and Karen Stengel and Jeremy L.
37960		  Thompson and Junchao Zhang},
37961  doi		= {10.48550/ARXIV.2204.01722},
37962  url		= {https://arxiv.org/abs/2204.01722},
37963  publisher	= {arXiv},
37964  note		= {Submitted},
37965  year		= {2022}
37966}
37967
37968@InCollection{	  mayknepley2023,
37969  title		= {Numerical Modeling of Subduction},
37970  author	= {Dave A. May and Matthew G. Knepley},
37971  booktitle	= {Dynamics of Plate Tectonics and Mantle Convection},
37972  editor	= {João C. Duarte},
37973  pages		= {539-571},
37974  isbn		= {978-0-323-85733-8},
37975  doi		= {https://doi.org/10.1016/B978-0-323-85733-8.00020-2},
37976  url		= {https://www.sciencedirect.com/science/article/pii/B9780323857338000202},
37977  year		= {2023}
37978}
37979
37980@Article{	  adamsknepley2023,
37981  title		= {A bespoke multigrid approach for magnetohydrodynamics models of magnetized
37982		  plasmas in {PETSc}},
37983  author	= {Mark F. Adams and Matthew G. Knepley},
37984  url		= {https://arxiv.org/abs/2302.10242},
37985  note		= {In preparation},
37986  year		= {2023},
37987  petsc_uses	= {DMPlex}
37988}
37989
37990@Article{	  finnknepleypusztayadams2023,
37991  title		= {A Numerical Study of {Landau} Damping with {PETSc-PIC}},
37992  author	= {Daniel S. Finn and Matthew G. Knepley and Joseph V. Pusztay and Mark F. Adams},
37993  url		= {https://arxiv.org/abs/2303.12620},
37994  journal	= {Communications in Applied Mathematics and Computational Science},
37995  note		= {Submitted},
37996  year		= {2023}
37997}
37998
37999@Article{	  eggersdupont1994,
38000  title		= {Drop formation in a one-dimensional approximation of the {Navier--Stokes}
38001		  equation},
38002  author	= {Jens Eggers and Todd F. Dupont},
38003  journal	= {Journal of fluid mechanics},
38004  volume	= {262},
38005  pages		= {205--221},
38006  year		= {1994},
38007  publisher	= {Cambridge University Press}
38008}
38009
38010@PhDThesis{	  pusztaythesis2023,
38011  title		= {A Particle Basis Vlasov-Poisson-Landau Solver for Plasma Simulation in PETSc},
38012  author	= {Joseph V. Pusztay},
38013  type		= {{PhD} thesis},
38014  school	= {University at Buffalo, Department of Computer Science and Engineering},
38015  address	= {Buffalo, NY},
38016  month		= {May},
38017  year		= {2022}
38018}
38019
38020@PhDThesis{	  finnthesis2023,
38021  title		= {Structure-Preserving Particle-In-Cell Methods for the Vlasov-Poisson-Landau
38022		  System},
38023  author	= {Daniel S. Finn},
38024  type		= {{PhD} thesis},
38025  school	= {University at Buffalo, Program in Computational and Data-Enabled Science and
38026		  Engineering},
38027  address	= {Buffalo, NY},
38028  month		= {May},
38029  year		= {2023}
38030}
38031
38032@PhDThesis{	  nathawanithesis2023,
38033  title		= {Droplet Formation: One-dimensional Mathematical Model and Computations},
38034  author	= {Darsh Kiritbhai Nathawani},
38035  type		= {{PhD} thesis},
38036  school	= {University at Buffalo, Program in Computational and Data-Enabled Science and
38037		  Engineering},
38038  address	= {Buffalo, NY},
38039  month		= {May},
38040  year		= {2023}
38041}
38042