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Approximate factorization for a viscous wave equation.

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Titel: Approximate factorization for a viscous wave equation.
Autoren: Karaa, Samir
Quelle: Computing; Sep2010, Vol. 89 Issue 3/4, p199-215, 17p, 3 Charts, 1 Graph
Schlagwörter: APPROXIMATION theory, LINEAR systems, WAVE equation, THEORY of wave motion, FOURIER analysis
Abstract: A general procedure to construct ADI methods for multidimensional 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. [ABSTRACT FROM AUTHOR]
Copyright of Computing is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Approximate factorization for a viscous wave equation.
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  Data: Computing; Sep2010, Vol. 89 Issue 3/4, p199-215, 17p, 3 Charts, 1 Graph
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  Data: <searchLink fieldCode="DE" term="%22APPROXIMATION+theory%22">APPROXIMATION theory</searchLink><br /><searchLink fieldCode="DE" term="%22LINEAR+systems%22">LINEAR systems</searchLink><br /><searchLink fieldCode="DE" term="%22WAVE+equation%22">WAVE equation</searchLink><br /><searchLink fieldCode="DE" term="%22THEORY+of+wave+motion%22">THEORY of wave motion</searchLink><br /><searchLink fieldCode="DE" term="%22FOURIER+analysis%22">FOURIER analysis</searchLink>
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  Data: A general procedure to construct ADI methods for multidimensional 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. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label:
  Group: Ab
  Data: <i>Copyright of Computing is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s00607-010-0102-3
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        Text: English
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        Type: general
      – SubjectFull: LINEAR systems
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      – SubjectFull: WAVE equation
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