Add one or more energy conservation benchmarks - Githubissues

nathanaelbosch / ProbNumDiffEq.jl

Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing

MIT License

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Add one or more energy conservation benchmarks #277

Open nathanaelbosch opened 10 months ago

nathanaelbosch commented 10 months ago

Something similar to these SciML Benchmarks would be nice to have:

Henon-Heiles Energy Conservation: https://docs.sciml.ai/SciMLBenchmarksOutput/stable/DynamicalODE/Henon-Heiles_energy_conservation_benchmark/
Quadruple Boson Energy Conservation: https://docs.sciml.ai/SciMLBenchmarksOutput/stable/DynamicalODE/Quadrupole_boson_Hamiltonian_energy_conservation_benchmark/#Quadruple-Boson-Energy-Conservation
Single Pendulum Comparison (currently broken): https://docs.sciml.ai/SciMLBenchmarksOutput/stable/DynamicalODE/single_pendulums/#Solving-single-pendulums-by-DifferentialEquations.jl

This part of the ProbNumDiffEq.jl documentation shows how we can do energy conservation, and that's what we'd want to evaluate and compare to projection methods and symplectic methods.