A Hamiltonian-conserving Galerkin scheme for the Camassa-Holm equation

DOI10.1016/j.cam.2009.09.020zbMath1203.65185OpenAlexW2064304765MaRDI QIDQ970420

Takayasu Matsuo

Publication date: 17 May 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.09.020

zbMATH Keywords

stabilityGalerkin methodnumerical examplesHamiltonianCamassa-Holm equationfinite-element methodconservation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for nonlinear higher-order PDEs (35G25)

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Cites Work

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• Numerical study of traveling-wave solutions for the Camassa--Holm equation
• Simulating Hamiltonian Dynamics
• Spatial discretization of partial differential equations with integrals
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