Stable, high-order discretization for evolution of the wave equation in \(2+1\) dimensions

DOI10.1016/j.jcp.2004.03.011zbMath1057.65055OpenAlexW2015465416MaRDI QIDQ1883509

Stephen M. Wandzura

Publication date: 12 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2004.03.011

zbMATH Keywords

stabilitywave equationnumerical examplesLax-Wendroff methodsmall-cell problem

Mathematics Subject Classification ID

Wave equation (35L05) 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)

Related Items (3)

Universal AMG accelerated embedded boundary method without small cell stiffness ⋮ High-order unconditionally stable FC-AD solvers for general smooth domains. II: Elliptic, parabolic and hyperbolic PDEs; theoretical considerations ⋮ Hermite-discontinuous Galerkin overset grid methods for the scalar wave equation

Uses Software

• symrcm

Cites Work

• Unnamed Item
• Strongly consistent marching schemes for the wave equation
• Stable, high-order discretization for evolution of the wave equation in 1 + 1 dimensions.
• An integral evolution formula for the wave equation

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