Alternating splitting waveform relaxation method and its successive overrelaxation acceleration

DOI10.1016/j.camwa.2004.11.001zbMath1076.65063OpenAlexW1979358466MaRDI QIDQ2485394

Jianyu Pan, Zhong Zhi Bai, Michael Kwok-Po Ng

Publication date: 4 August 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.11.001

zbMATH Keywords

convergencenumerical experimentssuccessive overrelaxationfinite differencewaveform relaxation methodalternating direction implicit iterationblock overrelaxationlinear initial value problems

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (7)

Convergence of waveform relaxation methods for Hermitian positive definite linear systems ⋮ On convergence of the WR-HSS iteration method for a system of linear differential equations ⋮ Continuous-time accelerated block successive overrelaxation methods for time-dependent Stokes equations ⋮ On convergence conditions of waveform relaxation methods for linear differential-algebraic equations ⋮ A modified GPSS method for non-Hermitian positive definite linear systems ⋮ The WR-HSS iteration method for a system of linear differential equations and its applications to the unsteady discrete elliptic problem ⋮ A block alternating splitting iteration method for a class of block two-by-two complex linear systems

Cites Work

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• On SOR Waveform Relaxation Methods
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
• Optimal Convolution SOR Acceleration of Waveform Relaxation with Application to Parallel Simulation of Semiconductor Devices
• Multigrid Waveform Relaxation of Spatial Finite Element Meshes: The Continuous-Time Case
• Volterra integral and differential equations

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