Focusing: A mechanism for instability of nonlinear finite difference equations

William L. Briggs, Alan C. Newell, Talib Sarie

Research output: Contribution to journalArticlepeer-review

38 Scopus citations


A mechanism for the destabilization of numerical algorithms for partial differential equations is suggested. The novelty of the work is that it attempts to explain the dynamical process by which noise can localize on a spatial grid and cause finite amplitude instability thresholds to be exceeded at distinct locations.

Original languageEnglish (US)
Pages (from-to)83-106
Number of pages24
JournalJournal of Computational Physics
Issue number1
StatePublished - Jul 1983

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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