Chris is an encyclopedia on ODEs. Take a look at this. No other system has this thorough a study of so many methods in one place.

https://github.com/JuliaDiffEq/DiffEqDevTools.jl/blob/master...

This is the kind of thing we imagined experts being able to do when we designed Julia. Having implemented some such solvers in the past, I can safely say this stuff is easily the best out there.