Approximate factorization for a viscous wave equation

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4 Citations (Scopus)

Abstract

Ageneral procedure to construct ADI methods formultidimensional problems was originated by Beam and Warming using the method of approximate factorization. In this paper, we extend the method of approximate factorization to solve a viscous wave equation. The method can be combined with any implicit linear multistep method for the time integration of the wave equation. The stability of the factored schemes and their underlying schemes is analyzed based on a discrete Fourier analysis and the energy method. Convergence proofs are presented and numerical results supporting our analysis are provided.

Original languageEnglish
Pages (from-to)199-215
Number of pages17
JournalComputing (Vienna/New York)
Volume89
Issue number3-4
DOIs
Publication statusPublished - Sep 2010

Keywords

  • Acoustic wave
  • ADI method
  • Approximate factorization
  • Linear multistep method
  • Stability
  • Viscous wave equation

ASJC Scopus subject areas

  • Computer Science Applications
  • Software
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Numerical Analysis
  • Theoretical Computer Science

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