An analysis of two-step time discretizations in the solution of the linearized shallow water equations

DOI10.1016/0021-9991(83)90164-XzbMath0516.76020MaRDI QIDQ1052894

M. G. G. Foreman

Publication date: 1983

Published in: Journal of Computational Physics (Search for Journal in Brave)

zbMATH Keywords

group velocitylinearized shallow water equationsaccuracy of finite element methodstwo step time stepping method

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Basic methods in fluid mechanics (76M99)

Related Items (4)

A varying time step finite-element method for the shallow water equations ⋮ An accuracy analysis of boundary conditions for the forced shallow water equations ⋮ Dispersion analysis of robert-asselin type filters for linear non-dispersive and dispersive systems ⋮ A two-dimensional dispersion analysis of selected methods for solving the linearized shallow water equations

Cites Work

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• Numerical solution of ordinary differential equations
• Improved finite element forms for the shallow-water wave equations
• Dispersion analysis of finite element semidiscretizations of the two-dimensional wave equation
• Group Velocity in Finite Difference Schemes
• The automatic integration of ordinary differential equations

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