Approximate factorization for a viscous wave equation

Samir Karaa*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


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)
Issue number3-4
Publication statusPublished - Sept 2010


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

ASJC Scopus subject areas

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


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