An Integral Evolution Formula for the Wave Equation

Bradley Alpert, Leslie Greengard, Thomas Hagstrom

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)536-543
Number of pages8
JournalJournal of Computational Physics
Volume162
Issue number2
DOIs
StatePublished - Aug 10 2000

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Wave equations
wave equations
mesh
scalars

Keywords

  • Small-cell problem
  • Stability

ASJC Scopus subject areas

  • Computer Science Applications
  • Physics and Astronomy(all)

Cite this

An Integral Evolution Formula for the Wave Equation. / Alpert, Bradley; Greengard, Leslie; Hagstrom, Thomas.

In: Journal of Computational Physics, Vol. 162, No. 2, 10.08.2000, p. 536-543.

Research output: Contribution to journalArticle

Alpert, Bradley ; Greengard, Leslie ; Hagstrom, Thomas. / An Integral Evolution Formula for the Wave Equation. In: Journal of Computational Physics. 2000 ; Vol. 162, No. 2. pp. 536-543.
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