Multi-Symplectic RungeโKutta Collocation
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Sebastian Reich
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Article
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2000
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Elsevier Science
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English
โ 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