Remarks on waveform relaxation method with overlapping splittings
type: Item
instance of: scholarly article
title: Remarks on waveform relaxation method with overlapping splittings
zbMATH Open document ID: 0907.65063
DOI: 10.1016/S0377-0427(97)00224-0
author: Ulla Miekkala
published in: Journal of Computational and Applied Mathematics
publication date: 1998-07-29T00:00:00Z
review text: This paper is concerned with the strategy of overlapping splittings in using waveform relaxation methods on finite time intervals. Starting from the iteration operator and its resolvent, the order of the iteration operator turns out to be the decisive quantity for the valuation of the method. It is shown that this order may decrease if overlapping is used, and further, how overlapping should be done to best accelerate of the iterative method. The results are illustrated in treating band matrices.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 34A30
zbMATH DE Number: 1145899
zbMATH Keywords: digraph
zbMATH Keywords: quasinilpotency
zbMATH Keywords: overlapping splittings
zbMATH Keywords: waveform relaxation methods
zbMATH Keywords: iterative method
zbMATH Keywords: band matrices
reviewed by: Rudolf Scherer
MaRDI profile type: Publication
cites work: Q4088840
cites work: Waveform Relaxation with Overlapping Splittings
cites work: Convergence of Dynamic Iteration Methods for Initial Value Problems
cites work: Quasinilpotency of the operators in picard-lindelöf iteration
cites work: Q5182723
description: scientific article; zbMATH DE number 1145899