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Approximate factorization for a viscous wave equation
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DOI：10.1007/s00607-010-0102-3.png)
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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.
Keyword:
Viscous wave equation
Acoustic wave
Approximate factorization
ADI method
Linear multistep method
Stability
期刊
C
IF:
2.8
论文数:
2.3K
被引数:
3.5K
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