Qingyu Qu

@LeeLizuoLiu Thanks for your suggestions! I will check the better Chebshev polynomial derivations in that paper😄

@pedromxavier Thanks for you suggestions on adding new algorithms to this package, and it would be nice if you can help implement Fourier spectral methods for evaluating fractional order derivatives.😆

Hi there! Sorry for the late response, I've been very busy lately. Thanks a lot!

It is caused by the **getvec** function, the 2 order precision is okay for now

Some rebase would make Buildkite work

I think we need to add an Enzyme option to ```calc_J``` and ```calc_J!``` when we are calculating the Jacobians in https://github.com/SciML/OrdinaryDiffEq.jl/blob/master/src/derivative_utils.jl To calculate Jacobian using Enzyme.jl is simply: ForwardMode: ```julia...

- [x] Runge–Kutta–Munthe-Kaas 2 by #1216 - [x] Crouch-Grossman 2 by #1227 - [x] Runge–Kutta–Munthe-Kaas 4 (RKMK4) by #1218 - [x] LieRK4 (extension to 16) by #1226 - [x] CG3...

> Also let's merge the tests for MIRK and the other methods, except Shooting. The only reason Shooting is separate, is that the other methods currently don't support interpolation in...

> No I meant the interpolation in the residual function Oh, indeed, there are no interpolations in the residual functions for MIRK methods right now.

Current implementation passes basic tests for a BVP solver, e.g. discrete solving, adaptivity, interpolations, and plotting are all good now. Current issues of this PR: 1. BigFloat semantics(I tried to...