Finite volume methods for multi-symplectic PDEs

DOI10.1023/A:1022375915113zbMath0965.65131OpenAlexW1585003467MaRDI QIDQ1587316

Sebastian Reich

Publication date: 16 July 2001

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022375915113

zbMATH Keywords

finite volume methodnumerical examplesshallow water equationmoving meshmulti-symplecticmulti-symplectic discretizationsemi- Lagrangian method

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Boundary value problems for nonlinear first-order PDEs (35F30)

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