Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation

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105 Citations (Scopus)

Abstract

Artificial dissipation terms for finite difference approximations of linear hyperbolic problems with variable coefficients are determined such that an energy estimate and strict stability is obtained. Both conservative and non-conservative approximations are considered. The dissipation terms are computed such that there is no loss of accuracy.

Original languageEnglish
Pages (from-to)375-404
Number of pages30
JournalJournal of Scientific Computing
Volume29
Issue number3
DOIs
Publication statusPublished - Dec 2006
Externally publishedYes

Keywords

  • Artificial dissipation
  • Energy estimate
  • Finite differences
  • Stability
  • Variable coefficients

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Numerical Analysis
  • General Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

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