On multisymplectic integrators based on Runge-Kutta-Nyström methods for Hamiltonian wave equations
DOI10.1016/j.amc.2006.05.007zbMath1107.65114OpenAlexW1999361908MaRDI QIDQ858754
Qinghong Li, Ya-Juan Sun, Yu Shun Wang
Publication date: 11 January 2007
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.007
Maxwell equationsSchrödinger equationswave equationsKorteweg-de Vries equationsmultisymplectic integratorssymplectic Runge-Kutta-Nyström methodsenergy and momentum conservation laws
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)
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- Multi-symplectic structures and wave propagation
- The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs
- Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity
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