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Quadratic invariants and multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs

✍ Scribed by Yajuan Sun


Publisher
Springer-Verlag
Year
2007
Tongue
English
Weight
524 KB
Volume
106
Category
Article
ISSN
0029-599X

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Multi-Symplectic Runge–Kutta Collocation
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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