Added ExponentialRK, IMEXMultistep and Linear Solvers

[ParamThakkar123]

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 #2177

[ParamThakkar123]

@ChrisRackauckas What all things are yet to be done next ??

Are the points mentioned further in #2310 next ??

[ChrisRackauckas]

I'm going to change up the CI #2311 so that it actually tests the submodules in isolation. I think this will likely find a few more issues with the individual subpackages that wasn't noticed when always running them with the global OrdinaryDiffEq. I might enjoy some help with that. Also we need to split differentiation, nonlinearsolve, and core and that's started in #2309 . These two pieces kind of need to go together, since all of the using OrdinaryDiffEq should become using OrdinaryDiffEqCore, so that in theory these can all be used in isolation. So there's still some more to do before we're really ready to release.

But if you want to claim your victory payout, I think you completed what I had originally outlined about splitting the solvers out, and I'd be willing to say that's completed and start that process.

[ParamThakkar123]

I'm going to change up the CI #2311 so that it actually tests the submodules in isolation. I think this will likely find a few more issues with the individual subpackages that wasn't noticed when always running them with the global OrdinaryDiffEq. I might enjoy some help with that. Also we need to split differentiation, nonlinearsolve, and core and that's started in #2309 . These two pieces kind of need to go together, since all of the using OrdinaryDiffEq should become using OrdinaryDiffEqCore, so that in theory these can all be used in isolation. So there's still some more to do before we're really ready to release.

But if you want to claim your victory payout, I think you completed what I had originally outlined about splitting the solvers out, and I'd be willing to say that's completed and start that process.

Ok. I would also love to be a part of this further and help with the further processes that are yet to be done

[ParamThakkar123]

@ChrisRackauckas You can assign me some tasks where you think I can help

[ParamThakkar123]

But if you want to claim your victory payout, I think you completed what I had originally outlined about splitting the solvers out, and I'd be willing to say that's completed and start that process.

We can discuss this over the mail

[ChrisRackauckas]

You can assign me some tasks where you think I can help

Thanks! I just merged #2311 which has some failing tests to handle. You can see the last commit I made which was making progress towards it. With this change to the CI, it's now testing each of the submodules as a separate package. This means that, unlike before, the Project.toml per-package is now being checked to be correct for the test dependencies. That'll take some working through. If you do that, then I can do the OrdinaryDiffEqDifferentiation/OrdinaryDiffEqNonlinear/OrdinaryDiffEqCore change, and then there will be another phase of fixing the Project.tomls so that each package has the right dependencies everywhere. Once that's done, the split is complete!

[ParamThakkar123]

You can assign me some tasks where you think I can help

Thanks! I just merged #2311 which has some failing tests to handle. You can see the last commit I made which was making progress towards it. With this change to the CI, it's now testing each of the submodules as a separate package. This means that, unlike before, the Project.toml per-package is now being checked to be correct for the test dependencies. That'll take some working through. If you do that, then I can do the OrdinaryDiffEqDifferentiation/OrdinaryDiffEqNonlinear/OrdinaryDiffEqCore change, and then there will be another phase of fixing the Project.tomls so that each package has the right dependencies everywhere. Once that's done, the split is complete!

Ok I will take this part of adding the test dependencies to all the packages

[ParamThakkar123]

@ChrisRackauckas just sent you an email on this : admin@chrisrackauckas.com