Added Low Storage RK methods

[ParamThakkar123]

Checklist

• [X] Appropriate tests were added
• [X] Any code changes were done in a way that does not break public API
• [ ] All documentation related to code changes were updated
• [X] 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

[ChrisRackauckas]

Rebase onto the new master.

[ParamThakkar123]

How should I resolve this ?? I made the import but can't figure out where I am mistaken

[ParamThakkar123]

@ChrisRackauckas what about this ?? This doesn't have any mention in the docs as low storage rk in the code base it has a definition in explicit_rk and ssprk_caches.jl

[ChrisRackauckas]

SHLDDRK_2N is an SSPRK method so it should be included with that set, not this one. Just remove it from the alg_utils.jl here.

[ChrisRackauckas]

False comes from Static.jl, so that should be a dep

[ParamThakkar123]

A IRKC undef error in controllers.jl. I defined IRKC on ordinaryDiffEq on line 245 in the way above. And in controllers.jl:

[ParamThakkar123]

Here it shows IRKC is not defined but I have imported it in controllers.jl

[ParamThakkar123]

@ChrisRackauckas @ranocha All the UnDef errors are now fixed. Now, There are some errors related to dimension mismatch, precision and method loading. How can I fix this ??

[ParamThakkar123]

@ChrisRackauckas Any changes to make??

[ParamThakkar123]

@ChrisRackauckas Should I start working on the other solvers as well ?? Simultaneously

[ChrisRackauckas]

yes just make sure to branch first. It looks like you're working on your fork's master here.

[ParamThakkar123]

Yes. I was working in my fork's master. I will sync it with the upstream and also make do the branching

[ParamThakkar123]

@ChrisRackauckas I started a new PR for SSPRK methods: #2264