Geometric Numerical Integration in Julia
pyHamSys is a Python package for scientific computations involving Hamiltonian systems
biorbd + casadi + variational integrator
A numerical simulator with GUI for quantum and classical harmonic oscillators.
A simple study of symplectic integrators
Single particle nonlinear dynamics toolkit, explicit dynamics of derivatives, external FORTRAN code generation.
JAX composable symplectic integrators: multi-map, implicit midpoint and Tao
Optical Centrifuge for Diatomic Molecules
Generic accelerator elements modeling in JAX
Splitting methods for semi-classical Hamiltonian dynamics of charge transfer in nonlinear lattices
From-scratch gravitational N-body simulator in Python/NumPy: pluggable Euler/semi-implicit/Leapfrog/RK4 integrators validated by conservation laws, real NASA JPL Horizons ephemerides, and a Pygame visualization of symplectic vs. non-symplectic energy drift.
A minimal physics simulator built from scratch to study numerical stability, symplectic integrators, performance scaling, and reinforcement learning rollout infrastructure.
Hamiltonian Lorenz models
MATLAB benchmark suite for comparing numerical integrators on classical differential-equation problems, including linear decay, harmonic oscillator, Van der Pol, Lorenz, Robertson kinetics, and Kepler two-body dynamics. The repository includes performance plots, accuracy metrics, conservation analysis, and a simulation video available on YouTube.
Symplectic integration of a dumbbell in space.
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