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