Energy-preserving \(H^1\)-Galerkin schemes for shallow water wave equations with peakon solutions

DOI10.1016/j.physleta.2012.07.022zbMath1266.65168OpenAlexW1994620021MaRDI QIDQ2376271

Takayasu Matsuo, Yuto Miyatake

Publication date: 21 June 2013

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2012.07.022

zbMATH Keywords

Galerkin methodenergy preservationHolm equationCamassaDegasperisProcesi equation

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

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