Absorbing boundary conditions for the numerical simulation of waves

Bjorn Engquist, Andrew Majda

Research output: Contribution to journalArticlepeer-review


In practical calculations, it is often essential to introduce artificial boundaries to limit the area of computation. Here we develop a systematic method for obtaining a hierarchy of local boundary conditions at these artificial boundaries. These boundary conditions not only guarantee stable difference approximations but also minimize the (unphysical) artificial reflections which occur at the boundaries.

Original languageEnglish (US)
Pages (from-to)629-651
Number of pages23
JournalMathematics of Computation
Issue number139
StatePublished - Jul 1977

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics


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