My best answer for you is https://docs.sciml.ai/DiffEqDocs/stable/solvers/ode_solve/#F.... It's the list of the ~250 different solvers you can choose from (note that most of these have a bunch of customization options). DifferentialEquations.jl has heuristics that do a pretty good job of picking a good algorithm on it's own, but it also lets you test every algorithm you've heard of (and a bunch you haven't) to find the one that works perfectly for your problem.