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Article: Two-step waveform relaxation methods for implicit linear initial value problems

TitleTwo-step waveform relaxation methods for implicit linear initial value problems
Authors
KeywordsConvergence analysis
Waveform relaxation
Initial value problems
Alternating direction implicit iteration
Issue Date2005
Citation
Numerical Linear Algebra with Applications, 2005, v. 12, n. 2-3, p. 293-304 How to Cite?
AbstractA class of two-step waveform relaxation methods is established and studied for solving implicit linear initial value problems, which, in particular, includes the alternating direction implicit waveform relaxation (ADIWR) methods. The convergence property of the ADIWR methods is studied in depth under suitable conditions, and their computing behaviour is illustrated by numerical examples. Moreover, we discuss about the choice of the optimal parameters involved in the ADIWR methods. © 2004 John Wiley & Sons, Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/276752
ISSN
2023 Impact Factor: 1.8
2023 SCImago Journal Rankings: 0.932
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorPan, Jian Yu-
dc.contributor.authorBai, Zhong Zhi-
dc.contributor.authorNg, Michael K.-
dc.date.accessioned2019-09-18T08:34:33Z-
dc.date.available2019-09-18T08:34:33Z-
dc.date.issued2005-
dc.identifier.citationNumerical Linear Algebra with Applications, 2005, v. 12, n. 2-3, p. 293-304-
dc.identifier.issn1070-5325-
dc.identifier.urihttp://hdl.handle.net/10722/276752-
dc.description.abstractA class of two-step waveform relaxation methods is established and studied for solving implicit linear initial value problems, which, in particular, includes the alternating direction implicit waveform relaxation (ADIWR) methods. The convergence property of the ADIWR methods is studied in depth under suitable conditions, and their computing behaviour is illustrated by numerical examples. Moreover, we discuss about the choice of the optimal parameters involved in the ADIWR methods. © 2004 John Wiley & Sons, Ltd.-
dc.languageeng-
dc.relation.ispartofNumerical Linear Algebra with Applications-
dc.subjectConvergence analysis-
dc.subjectWaveform relaxation-
dc.subjectInitial value problems-
dc.subjectAlternating direction implicit iteration-
dc.titleTwo-step waveform relaxation methods for implicit linear initial value problems-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1002/nla.416-
dc.identifier.scopuseid_2-s2.0-20744441107-
dc.identifier.volume12-
dc.identifier.issue2-3-
dc.identifier.spage293-
dc.identifier.epage304-
dc.identifier.isiWOS:000228112200023-
dc.identifier.issnl1070-5325-

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