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