Merge branch 'jrwrigh/tspseudo_improvements' into 'main'

ts(pseudo): Various updates and improvements

See merge request petsc/petsc!8857

Typo

ts(pseudo): Grab and use fnorm from ComputeFunction

Mostly to make it more clear why this function is being called where it
is.

ts(pseudo): Use PetscCallBack() for adapt functions

ts(pseudo): Reuse Function evaluation even for IFunction

Previous implementation recomputed the IFunction everytime even if the
result was already available.

ts(pseudo): Remove update Vec

This means that every use of `TSPseudoGetSteadyResidual()` gets the
`ts->vec_sol` Vec and so the Xstate is consistent.

ts(pseudo): Remove TSPseudoComputeTimeStep() and TSPseudoVerifyTimeStep()

ts(pseudo): Remove unused `TSPseudoVerifyTimeStepDefault()`

ts(pseudo): Update TSPseudo to standard while loop

This also fixes behavior where, on SNES failure, the step repeats
without changing the simulation (i.e. it ignores the
TS_DIVERGED_NONLINEAR_SOLVE

ts(pseudo): Update TSPseudo to standard while loop

This also fixes behavior where, on SNES failure, the step repeats
without changing the simulation (i.e. it ignores the
TS_DIVERGED_NONLINEAR_SOLVE set by TSAdaptCheckStage()).

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ts(pseudo): Add TSPseudoComputeFunction()

ts(pseudo): Move to TSAdapt-based timestepping

Housekeeping

Remove unused code

Fix terminology for Pmat in KSPView output.

Merge branch 'barry/2025-10-24/fix-dmshellsetdestroyctx' into 'main'

Finish converting the function prototypes of destroy for contexts to use PetscCtxDestroyFn

See merge request petsc/petsc!8810

Merge remote-tracking branch 'origin/release'

mpiexec erroneously called ex3, now fixed to call ex4

Updates to get tchem example to build again

Change the `destroy()` function argument of `TSTrajectorySetTransform()` to type `PetscCtxDestroyFn *`. These means the destroy function must deference the argument before operating on it

Fortran: enforce lower case keywords and operators

also fixed occasional capitals in used modules with the help of @prj-

Fortran is always F2003: removed leftovers

cleanup suggestions by @BarrySmith

also noticed a few stray functions not marked as external and put them
into modules

use modules instead of external

this allows for argument checking

remove labeled do loops

labeled do loops confused fprettify, so used it to rectify indentation

place all the include statements at the top

Repeated inclusion in multiple location, e.g. at the start of a
module or function is not needed. This becomes clear if all includes are
outside of the ac

place all the include statements at the top

Repeated inclusion in multiple location, e.g. at the start of a
module or function is not needed. This becomes clear if all includes are
outside of the actual Fortran code.
Added regex to check that with the help of @sbalay

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