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Rosenbrock 3rd order perform_step! refactor #2463

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Checklist

  • Appropriate tests were added
  • Any code changes were done in a way that does not break public API
  • All documentation related to code changes were updated
  • The new code follows the
    contributor guidelines, in particular the SciML Style Guide and
    COLPRAC.
  • Any new documentation only uses public API

Additional context

Add any other context about the problem here.
solves a part of #233

@ParamThakkar123
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@oscardssmith can you please review ? Your reviews can help me move forward with this PR. So I can fix the errors and we can get this merged.

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@oscardssmith can you please review ? Your reviews can help me move forward with this PR. So I can fix the errors and we can get this merged.

@ChrisRackauckas Can you please review this PR. ??

@ParamThakkar123
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@oscardssmith how the Rosenbrock32 and Rosenbrock23 be combined ?? Most of the test here failed because they are defined but maybe we need to combine them with the RosenbrockCache

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Rosenbrock32 and Rosenbrock23 have some extra fields in their caches compared to the RosenbrockCache

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Rosenbrock23 and 32 will need some extra work. Also you will need to make sure you're on a version of master new enough to include #2307 since otherwise it will be totally broken.

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Rosenbrock23 and 32 will need some extra work. Also you will need to make sure you're on a version of master new enough to include #2307 since otherwise it will be totally broken.

Okay. I need to pull #2307 from the upstream master in my branch

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image

@oscardssmith how do I fix this failure ??

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