Release PDEBase 0.1.32

[ChrisRackauckas-Claude]

Summary

Bumps PDEBase from 0.1.31 to 0.1.32 so the array-dependent-variable fix merged in #101 can be registered.

Registered 0.1.31 contains the regression from #98: @variables (u(..))[1:N] is flattened into Symbolics.Arr values, and MethodOfLines then fails in PDEBase.get_ops with MethodError: operation(::Symbolics.Arr). The code fix and regression test are already on master; this PR is only the patch release bump needed for downstream resolution.

This unblocks the MethodOfLines.jl/MOL_Interface1 and MethodOfLines.jl/MOL_Interface2 downstream failures observed in SciML/ModelingToolkit.jl#4852.

Version boundary

• General PDEBase v0.1.30: tree a4f6532, source commit 5b917e0 (before Enforce strict SciMLTesting 2.4 QA #98)
• General PDEBase v0.1.31: tree 04754fe, source commit 97c9de5 (after Enforce strict SciMLTesting 2.4 QA #98, before Fix flattening of array dependent variables #101)
• Fixed master: 01a7e79 (Fix flattening of array dependent variables #101)

This is a patch release: it publishes a bug fix without changing public API or compatibility bounds.

Local validation

Julia 1.12.6:

• Exact clean ModelingToolkit d39174937 + MethodOfLines 5ec02a46, registered PDEBase 0.1.31, GROUP=MOL_Interface1, Pkg.test(coverage=true): reproduced exit 1 with only MOLtest1.jl:231 (Array u) errored.
• Same resolved downstream manifest with only PDEBase changed to this 0.1.32 path: exit 0; MOL_Interface1 completed in 12m50.8s and MethodOfLines tests passed.
• Exact clean ModelingToolkit d39174937 + MethodOfLines 5ec02a46 + this PDEBase 0.1.32 path, GROUP=MOL_Interface2, Pkg.test(coverage=true): 5 pass, 8 pre-existing broken, 13 total in 7m15.8s; MethodOfLines tests passed.
• GROUP=Core: 12/12 alloc, 11/11 array-variable regression, 18/18 discrete initialization, 46/46 public API.
• GROUP=QA: 20/20.
• Runic 1.7 --check --diff: clean.

Ignore until reviewed by @ChrisRackauckas.

[ChrisRackauckas-Claude]

Independent clean-master follow-up: #103 fixes the documentation environment incompatibility (PDEBase@0.1.31 versus docs compat 0.2) and adds a Core regression test tying docs compat to the package major/minor line. It is based directly on current master and does not depend on this release PR; its PDEBase = "0.1" docs constraint already admits the 0.1.32 version in #102.

[ChrisRackauckas-Claude]

Scheduled CI audit at head 84d6b51307b279a9cf3956da2407e4d11b7e8af9 is terminal: 23 passed, 1 failed, 0 pending. Every MethodOfLines/PDESystemLibrary downstream job passed, including MOL_Interface1 and MOL_Interface2.

The sole failure is Documentation / Build and Deploy Documentation. It reproduces on clean master and was bisected independently to 97c9de5, which changed the package from the 0.2 line to 0.1.31 without updating docs/Project.toml's PDEBase = "0.2" constraint. Draft #103 contains that separate fix and its regression test; its exact docs instantiate and full local Documenter build both exit 0.