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fix(tests): resolve O(dx^2) initial condition residual in DAE tests#585

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fix(tests): resolve O(dx^2) initial condition residual in DAE tests#585
utkuyilmaz1903 wants to merge 2 commits into
SciML:masterfrom
utkuyilmaz1903:fix/dae-initialization-residual

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@utkuyilmaz1903

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This is a stacked PR. It currently includes commits from #584 to pass CI. Once #584 is merged, this PR will rebase to show only the DAE initialization fix.

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I think patching solve calls individually is not a clean approach. I will take a closer look at this soon.

@utkuyilmaz1903 utkuyilmaz1903 force-pushed the fix/dae-initialization-residual branch from bd99344 to 0838616 Compare July 8, 2026 17:09
@utkuyilmaz1903 utkuyilmaz1903 force-pushed the fix/dae-initialization-residual branch from 0838616 to 71fffbf Compare July 8, 2026 17:22
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