Implement 7th order RadauIIA method

SciML / OrdinaryDiffEq.jl

High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)

https://diffeq.sciml.ai/latest/

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Implement 7th order RadauIIA method #2273

Closed Shreyas-Ekanathan closed 2 months ago

Shreyas-Ekanathan commented 3 months ago

Checklist

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

Additional context

Add any other context about the problem here.

oscardssmith commented 2 months ago

This looks good to merge to me, (although hopefully most of this code can be deleted once we have the general order version)

ChrisRackauckas commented 2 months ago

Why is the IIP and OOP convergence rate so drastically different? They should give about the same answer.

ChrisRackauckas commented 2 months ago

oh one's 2D

ChrisRackauckas commented 2 months ago

although hopefully most of this code can be deleted once we have the general order version

Indeed, onto the next phase.