Spectrally accurate energy‐preserving methods for the numerical solution of the “good” Boussinesq equation

DOI10.1002/num.22353zbMath1418.65117arXiv1807.05182OpenAlexW2884985708WikidataQ115397879 ScholiaQ115397879MaRDI QIDQ5224981

Luigi Brugnano, Gianmarco Gurioli, Cheng-Jian Zhang

Publication date: 25 July 2019

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.05182

zbMATH Keywords

spectral methodsHamiltonian boundary value methodsHamiltonian PDEs``good Boussinesq equationenergy-conserving methodsblended iteration

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

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