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Fourier Analysis of the SOR Iteration

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Publication:3793616
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DOI10.1093/imanum/8.3.273zbMath0648.65028OpenAlexW2154140927MaRDI QIDQ3793616

Lloyd N. Threfethen, Randall J. LeVeque

Publication date: 1988

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/db3b5eaa83bf6ea24787a20bbfa68feec706396b


zbMATH Keywords

Fourier analysisPoisson's equationsuccessive overrelaxationoptimal relaxation parameter


Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)


Related Items (5)

Convergence analysis of iterative methods by pseudodifference operators ⋮ On the equivalence between the scheduled relaxation Jacobi method and Richardson's non-stationary method ⋮ Fourier analysis of frequency filtering decomposition preconditioners ⋮ Modified tangential frequency filtering decomposition and its Fourier analysis ⋮ ANALYSIS OF BLOCK-SOR ITERATION FOR THE THREE-DIMENSIONAL LAPLACIAN




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