Documentation of ‘lie_group_integrator_double_spherical_pendulum’

lie_group_integrator_double_spherical_pendulum is a MATLAB code where different Lie group integrators are tested on the example of the double spherical pendulum. The code is part of the source code developed at the Department of Mathematical Sciences at NTNU, for the paper (Celledoni, Çokaj, Leone, Murari and Owren, (2021) International Journal of Computer Mathematics).

Contents

• Installation
  • Virtual environment
• Example
  • The double spherical pendulum
    • Transitive group action on \((TS^2)^2\)
    • The equations of motion and the vector field
• Integration methods
  • Lie group integrators
    • The formulation of differential equations on manifolds
  • Two classes of Lie group integrators
    • Runge-Kutta-Munthe-Kaas (RKMK) methods
    • Commutator-free methods
• MATLAB code
  • src
  • src/integrators
  • src/Lie_group_functions
  • src/equations_of_motion
  • src/experiments
  • src/helpful_functions

Indices and tables

• Index

• Search Page