GeometricProblems.jl

Example problems for GeometricIntegrators.jl
Author JuliaGNI
Popularity
0 Stars
Updated Last
1 Year Ago
Started In
July 2017

GeometricProblems.jl

Collection of example problems with interesting geometric structure for GeometricIntegrators.jl.

Documentation Documentation License PkgEval Status CI codecov DOI

Example Problems

  • ABC Flow,
  • Exponential Growth,
  • Fermi-Pasta-Ulam Problem,
  • Hénon-Heiles System,
  • Kepler Problem,
  • Lorenz Attractor in 3D,
  • Lotka-Volterra in 2D,
  • Lotka-Volterra in 3D,
  • Lotka-Volterra in 4D,
  • Massless Charged Particle,
  • Harmonic Oscillator,
  • Nonlinear Oscillators,
    • Duffing Oscillator,
    • Lennard-Jones Oscillator,
    • Mathews-Lakshmanan Oscillator,
    • Morse Oscillator,
  • Mathematical Pendulum,
  • Double Pendulum,
  • Planar Point Vortices,
  • Rigid Body,
  • Chaplygin Sleigh,
  • Inner Solar System,
  • Outer Solar System,
  • Heavy Top.

See ChargedParticleDynamics.jl for

  • Charged Particle Motion in various electromagnetic Fields,
  • Pauli Particle Dynamics in various electromagnetic Fields,
  • Guiding Center Dynamics in various magnetic fields,
  • Gyrokinetic Dynamics in various magnetic fields.

See GeometricExamples.jl for example scripts that run these problems with the integrators implemented in GeometricIntegrators.jl.