Spectral analysis of the convergence of multicomponent iterative methods
type: Item
instance of: scholarly article
title: Spectral analysis of the convergence of multicomponent iterative methods
zbMATH Open document ID: 1001.65117
DOI: 10.1023/A:1011926208911
author: V. Pakalnite
author: Raimondas Čiegis
published in: Differential Equations
publication date: 2002-08-27T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 1758779
zbMATH Keywords: ADI methods
zbMATH Keywords: convergence
zbMATH Keywords: multicomponent iterative methods
zbMATH Keywords: Poisson equation
zbMATH Keywords: alternating-direction implicit method
reviewed by: Gerald W. Hedstrom
MaRDI profile type: Publication
full work available at URL: a:1011926208911
OpenAlex ID: W132545430
description: scientific article; zbMATH DE number 1758779