An Integral Evolution Formula for the Wave Equation

Bradley Alpert, Leslie Greengard, Thomas Hagstrom

Research output: Contribution to journalArticlepeer-review


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
Issue number2
StatePublished - Aug 10 2000


  • 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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