Lobatto deferred correction for stiff two-point boundary value problems

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dc.contributor.authorBashir-Ali, Z.
dc.contributor.authorCash, JR
dc.contributor.authorSilva, HHM
dc.contributor.institutionUniv London Imperial Coll Sci Technol & Med
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T14:01:37Z
dc.date.available2014-05-20T14:01:37Z
dc.date.issued1998-11-01
dc.description.abstractAn iterated deferred correction algorithm based on Lobatto Runge-Kutta formulae is developed for the efficient numerical solution of nonlinear stiff two-point boundary value problems. An analysis of the stability properties of general deferred correction schemes which are based on implicit Runge-Kutta methods is given and results which are analogous to those obtained for initial value problems are derived. A revised definition of symmetry is presented and this ensures that each deferred correction produces an optimal increase in order. Finally, some numerical results are given to demonstrate the superior performance of Lobatto formulae compared with mono-implicit formulae on stiff two-point boundary value problems. (C) 1998 Elsevier B.V. Ltd. All rights reserved.en
dc.description.affiliationUniv London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2BZ, England
dc.description.affiliationUNESP, IBILCE, Dept Ciências Computacao & Estatist, BR-15054000 Rio Preto, SP, Brazil
dc.description.affiliationUnespUNESP, IBILCE, Dept Ciências Computacao & Estatist, BR-15054000 Rio Preto, SP, Brazil
dc.format.extent59-69
dc.identifierhttp://dx.doi.org/10.1016/S0898-1221(98)80009-6
dc.identifier.citationComputers & Mathematics With Applications. Oxford: Pergamon-Elsevier B.V., v. 36, n. 10-12, p. 59-69, 1998.
dc.identifier.doi10.1016/S0898-1221(98)80009-6
dc.identifier.fileWOS000077561600007.pdf
dc.identifier.issn0898-1221
dc.identifier.lattes0229111130706571
dc.identifier.urihttp://hdl.handle.net/11449/21747
dc.identifier.wosWOS:000077561600007
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofComputers & Mathematics With Applications
dc.relation.ispartofjcr1.860
dc.relation.ispartofsjr1,058
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectdeferred correctionpt
dc.subjectLobatto formulaept
dc.subjectsymmetrypt
dc.subjectTwo-point boundary value problemspt
dc.titleLobatto deferred correction for stiff two-point boundary value problemsen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
unesp.author.lattes0229111130706571
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt

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