Discrete energy estimates for the \(abcd\)-systems

DOI10.4310/CMS.2019.v17.n1.a10zbMath1420.35225arXiv1712.07547MaRDI QIDQ1999861

Cosmin Burtea, Clémentine Courtès

Publication date: 27 June 2019

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.07547

zbMATH Keywords

error estimatesnumerical convergencesystem \(abcd\)

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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Local discontinuous Galerkin methods for the \(abcd\) nonlinear Boussinesq system ⋮ High-performance computing of structure-preserving algorithm for the coupled BBM system formulated by weighted compact difference operators

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