Strongly consistent marching schemes for the wave equation

DOI10.1016/S0021-9991(03)00163-3zbMath1025.65050OpenAlexW2004494775MaRDI QIDQ1399630

Jing-Rebecca Li, Leslie F. Greengard

Publication date: 30 July 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-9991(03)00163-3

zbMATH Keywords

stabilityconvergencewave equationconsistencynumerical examplescomplex geometryexplicit marching schemessmall cell

Mathematics Subject Classification ID

Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (5)

High order marching schemes for the wave equation in complex geometry ⋮ Stable, high-order discretization for evolution of the wave equation in \(2+1\) dimensions ⋮ Numerical methods for nonlinear second-order hyperbolic partial differential equations. I: Time-linearized finite difference methods for 1-D problems ⋮ Upwind schemes for the wave equation in second-order form ⋮ High-resolution difference methods with exact evolution for multidimensional waves

Cites Work

• An alternative to unstructured grids for computing gas dynamic flows around arbitrarily complex two-dimensional bodies
• An accuracy assessment of Cartesian-mesh approaches for the Euler equations
• An integral evolution formula for the wave equation
• A large Time Step Generalization of Godunov’s Method for Systems of Conservation Laws
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