Reduction of dispersion in hyperbolic difference schemes by adapting the space discretization

DOI10.1016/0377-0427(86)90092-0zbMath0596.65058OpenAlexW1982355879MaRDI QIDQ1078987

B. P. Sommeijer, P. J. van der Houwen

Publication date: 1986

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(86)90092-0

zbMATH Keywords

systemsshallow water equationsdominant Fourier componentsfourth-order accurate difference schemereduction of dispersion

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) First-order nonlinear hyperbolic equations (35L60) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (1)

High order difference schemes with reduced dispersion for hyperbolic differential equations

Cites Work

• Phase properties of high order, almost P-stable formulae
• Nichtlineare Stabilität und Phasenuntersuchung adaptiver Nyström- Runge-Kutta-Methoden (Nonlinear stability and phase analysis for adaptive Nyström-Runge-Kutta methods)
• High order difference schemes with reduced dispersion for hyperbolic differential equations
• Linear Multistep Methods with Reduced Truncation Error for Periodic Initial-value Problems
• A one-step method for direct integration of structural dynamic equations
• Unnamed Item

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