Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations

DOI10.1006/jcph.1999.6372zbMath0946.65132OpenAlexW2080091608MaRDI QIDQ1971413

Publication date: 26 October 2000

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1999.6372

zbMATH Keywords

conservation laws semi-implicit methods Gauss-Legendre collocation Hamiltonian wave equations multi-symplectic methods Runge-Kutta collocation

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for second-order hyperbolic equations (35L15) Initial value problems for first-order hyperbolic systems (35L45) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

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