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
Generic accelerator elements modeling in JAX
A minimal physics simulator built from scratch to study numerical stability, symplectic integrators, performance scaling, and reinforcement learning rollout infrastructure.
Optical Centrifuge for Diatomic Molecules
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.
Splitting methods for semi-classical Hamiltonian dynamics of charge transfer in nonlinear lattices
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.
Hamiltonian Lorenz models
To associate your repository with the symplectic-integrators topic, visit your repo's landing page and select "manage topics."