Multi-Symplectic Runge–Kutta Collocation
✍
Sebastian Reich
📂
Article
📅
2000
🏛
Elsevier Science
🌐
English
⚖ 403 KB
A number of conservative PDEs, like various wave equations, allow for a multisymplectic formulation which can be viewed as a generalization of the symplectic structure of Hamiltonian ODEs. We show that Gauss-Legendre collocation in space and time leads to multi-symplectic integrators, i.e., to numer