Waveform relaxation methods for periodic differential--functional systems
type: Item
instance of: scholarly article
title: Waveform relaxation methods for periodic differential--functional systems
zbMATH Open document ID: 1030.65074
DOI: 10.1016/S0377-0427(03)00386-8
published in: Journal of Computational and Applied Mathematics
publication date: 2003-08-07T00:00:00Z
review text: The waveform relaxation methods (WRMs) were originally presented in a very abstract form and then applied to initial functional-differential problems. Here the author extends the application of WRMs to differential-functional problems of periodic type. Introducing some assumptions, it is proved that the solution is unique. Moreover sufficient conditions are given in order to guarantee that the presented WRM converges. At last, the author deals with the problem of continuous dependence. A nice example enlightens the method.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34K28
zbMATH DE Number: 1961631
zbMATH Keywords: periodic differential-functional systems
zbMATH Keywords: numerical examples
zbMATH Keywords: convergence
zbMATH Keywords: continuous dependence
author: Tadeusz Jankowski
reviewed by: Raffaella Pavani
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1961631