Structure-preserving discretization of differential equations

Elena Celledoni Brynjulf Owren

Summer course at AARMS 2015, Halifax, Nova Scotia

Lecture 5

  • Legendre transformation, Hamiltonian system on the cotangent bundle
  • Discretization of variational principle
  • Discrete Euler-Lagrange equations, discrete Legendre transformation
  • Proof that variational integrators are symplectic
  • Worked example (by students)

Teaching material

Notes from Lecture 5: Variational Integrators

2015-07-20, Brynjulf Rustad Owren