An Integral Evolution Formula for the Wave Equation

Bradley Alpert; Leslie Greengard; Thomas Hagstrom

doi:10.1006/jcph.2000.6547

An Integral Evolution Formula for the Wave Equation

Bradley Alpert, Leslie Greengard, Thomas Hagstrom

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We present a new time-symmetric evolution formula for the scalar wave equation. It is simply related to the classical D'Alembert or spherical means representations, but applies equally well in two space dimensions. It can be used to develop stable, robust numerical schemes on irregular meshes.

Original language	English (US)
Pages (from-to)	536-543
Number of pages	8
Journal	Journal of Computational Physics
Volume	162
Issue number	2
DOIs	https://doi.org/10.1006/jcph.2000.6547
State	Published - Aug 10 2000

Keywords

Small-cell problem
Stability

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1006/jcph.2000.6547

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abstract = "We present a new time-symmetric evolution formula for the scalar wave equation. It is simply related to the classical D'Alembert or spherical means representations, but applies equally well in two space dimensions. It can be used to develop stable, robust numerical schemes on irregular meshes.",

keywords = "Small-cell problem, Stability",

author = "Bradley Alpert and Leslie Greengard and Thomas Hagstrom",

note = "Funding Information: Contribution of U.S. government not subject to copyright in the United States. 1The work of this author was supported in part by the DARPA Applied and Computational Mathematics Program under Appropriation 9770400. 2The work of this author was supported in part by the U.S. Department of Energy under Contracts DEFGO288ER25053 and DARPA/AFOSR under Contract F94620-95-C-0075. 3The work of this author was supported in part by NSF Grant DMS-9600146, DARPA/AFOSR Contract F94620-95-C-0075, and, while in residence at the Courant Institute, DOE Contract DEFGO288ER25053.",

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KW - Stability

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An Integral Evolution Formula for the Wave Equation

Abstract

Keywords

ASJC Scopus subject areas

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