High order difference schemes with reduced dispersion for hyperbolic differential equations

DOI10.1016/0377-0427(85)90013-5zbMath0589.65068OpenAlexW2089798587MaRDI QIDQ1074320

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

Publication date: 1985

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(85)90013-5

zbMATH Keywords

stabilitysystemsconsistencynumerical examplesshallow water equationsdispersionRunge-Kutta methodslinear multistep methodssplitting methodsdissipativeimplicit

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (1)

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

Uses Software

• NAG
• nag

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Reduction of dispersion in hyperbolic difference schemes by adapting the space discretization
• Stability of explicit time discretizations for solving initial value problems
• Numerical integration of ordinary differential equations based on trigonometric polynomials
• Efficient Integration Methods for Stiff Systems of Ordinary Differential Equations

This page was built for publication: High order difference schemes with reduced dispersion for hyperbolic differential equations