Alternating splitting waveform relaxation method and its successive overrelaxation acceleration

Authors:
Zhong-Zhi Bai;Michael K. Ng;Jian-Yu Pan
Affiliations:
-;-;-
Venue:
Computers & Mathematics with Applications
Year:
2005

Citing 8
Cited 2

Remarks on Picard-Lindelo¨f iteration: part II

BIT
Remarks on Picard—Lindelo¨f iteration: Part I

BIT
Optimal convolution SOR acceleration of waveform relaxation with application to parallel simulation of semiconductor devices

SIAM Journal on Scientific Computing
Multigrid waveform relaxation on spatial finite element meshes: the continuous-time case

SIAM Journal on Numerical Analysis
On SOR Waveform Relaxation Methods

SIAM Journal on Numerical Analysis
Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems

SIAM Journal on Matrix Analysis and Applications
On the convergence of additive and multiplicative splitting iterations for systems of linear equations

Journal of Computational and Applied Mathematics
The Waveform Relaxation Method for Time-Domain Analysis of Large Scale Integrated Circuits

IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems

On convergence conditions of waveform relaxation methods for linear differential-algebraic equations

Journal of Computational and Applied Mathematics
Continuous-time accelerated block successive overrelaxation methods for time-dependent Stokes equations

Journal of Computational and Applied Mathematics

Quantified Score

Hi-index	0.09

Visualization

Abstract

For the large sparse implicit linear initial value problem, we present a block successive overrelaxation scheme for the alternating direction implicit waveform relaxation method to further accelerate its convergence speed, and discuss the convergence property of the resulting iteration method in detail. Numerical implementations about several non-Hermitian implicit linear initial value problems show that the alternating direction implicit waveform relaxation method is very effective, and the block successive overrelaxation technique really accelerates its convergence speed.