Spectral analysis of the convergence of multicomponent iterative methods (Q1603192)

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scientific article; zbMATH DE number 1758779
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Spectral analysis of the convergence of multicomponent iterative methods
scientific article; zbMATH DE number 1758779

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    Spectral analysis of the convergence of multicomponent iterative methods (English)
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    27 August 2002
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    For the Poisson equation on a hypercube the authors make a spectral analysis of the rate of convergence of the alternating-direction implicit method proposed by \textit{V. N. Abrashin} [Differ. Uravn. 35, No. 2, 212--224 (1999; Zbl 0936.65108)]. Their analysis provides the optimal value of the acceleration parameter.
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    ADI methods
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    convergence
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    multicomponent iterative methods
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    Poisson equation
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    alternating-direction implicit method
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