Additional Collocation Factors

[gchenfc]

Currently Euler and Trapezoidal collocation factors are implemented. We may also desire Verlet and Semi-Implicit Euler Collocation factors, and to benchmark/compare/demo amongst the different methods.

See wikipedia's verlet and semi-implicit euler, and Frank's Hamiltonian colab notebook. Also see this stack exchange about the difference between Verlet and Semi-implicit euler.

[yetongumich]

Yes! I've previously thought about that, and I can help in formulating those collocation factors.