The preconditioned simultaneous displacement method (PSD method) for elliptic difference equations

DOI10.1016/0378-4754(80)90053-1zbMath0434.65015OpenAlexW1990772930MaRDI QIDQ1139917

Nikolaos M. Missirlis, David J. Evans

Publication date: 1980

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(80)90053-1

zbMATH Keywords

convergence propertiessuccessive overrelaxation methodsymmetric successive overrelaxation methodpreconditioned simultaneous displacement iterative method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items

Comparison results between Jacobi and other iterative methods ⋮ An error bound for the preconditioned simultaneous displacement method ⋮ Convergence of bpsd method forT(q, r)matrix ⋮ Extensions of the symmetric successive overrelaxation theory^∗ ⋮ The preconditioned simultaneous displacement method (PSD method) for elliptic difference equations ⋮ On the acceleration of the preconditioned simultaneous displacement method ⋮ Convergence analysis of the parallel multisplitting psd method ⋮ On the preconditioned Jacobi method for solving large linear systems ⋮ A comparison of the extrapolated successive overrelaxation and the preconditioned simultaneous displacement methods for augmented linear systems ⋮ The multisplitting PSD (MPSD) method for systems of weakly nonlinear equations ⋮ The convergence conditions of the psd iterative method for linear systems ⋮ Is modified PSD equivalent to modified SOR for two-cyclic matrices? ⋮ On the modified preconditioned simultaneous displacement (m-psd) method ⋮ The impact of eigenvalue locality on the convergence behavior of the PSD method for two-cyclic matrices ⋮ Convergence of preconditioned iterative methods ⋮ The extrapolated first order method for solving systems with complex eigenvalues ⋮ Preconditioned explicit block simultaneous iterative methods ⋮ The modified preconditioned simultaneous displacement (MPSD) method ⋮ A parallel iterative system solver ⋮ On the convergence of the parallel multisplitting PSD algorithm ⋮ A comparison of rates of convergence for the modified alternating direction preconditioning (MADP) method

Cites Work

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• The preconditioned simultaneous displacement method (PSD method) for elliptic difference equations
• On the accelerated SSOR method for solving large linear systems
• The extrapolated successive overrelaxation (ESOR) method for consistently ordered matrices
• Relaxation bei komplexen Matrizen
• Symmetric Successive Overrelaxation In Solving Diffusion Difference Equations
• The modified alternating direction preconditioning method for the numerical solution of the elliptic self-adjoint second order and biharmonic equations
• The Block Symmetric Successive Overrelaxation Method
• The Use of Pre-conditioning in Iterative Methods for Solving Linear Equations with Symmetric Positive Definite Matrices
• On the Numerical Solution of Elliptic Difference Equations

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