DifferentialEquations.jl: split differential equation with explicit propagators

Specific Domains Numerics
2

This is something we’re still working on. Operator splitting methods are in a very rudimentary state:

http://docs.juliadiffeq.org/latest/solvers/split_ode_solve.html

It’s one of the next big sets of algorithms we are working on though. Until we have those kinds of methods, I would recommend just using the SSP methods

http://docs.juliadiffeq.org/latest/solvers/ode_solve.html#Explicit-Strong-Stability-Preserving-Runge-Kutta-Methods-for-Hyperbolic-PDEs-(Conservation-Laws)-1

with a sufficient limiter. The other types of methods which would do well are the IMEX schemes which we don’t have yet:

https://github.com/JuliaDiffEq/OrdinaryDiffEq.jl/issues/191

So yeah, probably not satisfactory but it’s what we got. You can also just try throwing it into Sundials’ CVODE_BDF which might do well enough.