Structure-preserving discretization of differential equations

Elena Celledoni Brynjulf Owren

Summer course at AARMS 2015, Halifax, Nova Scotia

Lecture 4

  • Partitioned Runge-Kutta methods
  • Preservation of invariants, and in particular quadratic invariants by Runge-Kutta methods
  • Symplectic integrators
  • Symplectic Runge-Kutta methods (and partitioned Runge-Kutta methods)
  • The variational equation

Teaching material

2015-07-13, Elena Celledoni