GeometricProblems.jl

Example problems for GeometricIntegrators.jl
Author JuliaGNI
Popularity
4 Stars
Updated Last
10 Months 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.