Structure-preserving discretization of differential equations

Elena Celledoni Brynjulf Owren

Summer course at AARMS 2015, Halifax, Nova Scotia

Lecture 3

  • Classical mechanics, tangent and cotangent bundles
  • Briefly explain Lagrangian framework, Hamilton-principle, E-L equations
  • Discuss briefly what is a symplectic manifold/structure/form
  • Arrive at Hamiltonian vector field from this side
  • Hamiltonian systems and symplecticity

Teaching material

2015-07-16, Brynjulf Owren