Zero-stability of waveform relaxation methods for ordinary differential equations

Autor:	Zhencheng Fan
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	waveform relaxation methods zero stability ordinary differential equations linear multi-step methods lipschitz conditions Mathematics QA1-939 Applied mathematics. Quantitative methods T57-57.97
Zdroj:	Electronic Research Archive, Vol 30, Iss 3, Pp 1126-1141 (2022)
Druh dokumentu:	article
ISSN:	2688-1594
DOI:	10.3934/era.2022060?viewType=HTML
Popis:	Zero-stability is the basic property of numerical methods of ordinary differential equations (ODEs). Little work on zero-stability is obtained for the waveform relaxation (WR) methods, although it is an important numerical method of ODEs. In this paper we present a definition of zero-stability of WR methods and prove that several classes of WR methods are zero-stable under the Lipschitz conditions. Also, some numerical examples are given to outline the effectiveness of the developed results.
Databáze:	Directory of Open Access Journals
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