Focusing

A mechanism for instability of nonlinear finite difference equations

William L. Briggs, Alan C Newell, Talib Sarie

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

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
Volume51
Issue number1
DOIs
StatePublished - 1983

Fingerprint

difference equations
destabilization
Difference equations
partial differential equations
Partial differential equations
grids
thresholds
causes

ASJC Scopus subject areas

  • Computer Science Applications
  • Physics and Astronomy(all)

Cite this

Focusing : A mechanism for instability of nonlinear finite difference equations. / Briggs, William L.; Newell, Alan C; Sarie, Talib.

In: Journal of Computational Physics, Vol. 51, No. 1, 1983, p. 83-106.

Research output: Contribution to journalArticle

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