Lobatto deferred correction for stiff two-point boundary value problems
dc.contributor.author | Bashir-Ali, Z. | |
dc.contributor.author | Cash, JR | |
dc.contributor.author | Silva, HHM | |
dc.contributor.institution | Univ London Imperial Coll Sci Technol & Med | |
dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
dc.date.accessioned | 2014-05-20T14:01:37Z | |
dc.date.available | 2014-05-20T14:01:37Z | |
dc.date.issued | 1998-11-01 | |
dc.description.abstract | An 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.affiliation | Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2BZ, England | |
dc.description.affiliation | UNESP, IBILCE, Dept Ciências Computacao & Estatist, BR-15054000 Rio Preto, SP, Brazil | |
dc.description.affiliationUnesp | UNESP, IBILCE, Dept Ciências Computacao & Estatist, BR-15054000 Rio Preto, SP, Brazil | |
dc.format.extent | 59-69 | |
dc.identifier | http://dx.doi.org/10.1016/S0898-1221(98)80009-6 | |
dc.identifier.citation | Computers & Mathematics With Applications. Oxford: Pergamon-Elsevier B.V., v. 36, n. 10-12, p. 59-69, 1998. | |
dc.identifier.doi | 10.1016/S0898-1221(98)80009-6 | |
dc.identifier.file | WOS000077561600007.pdf | |
dc.identifier.issn | 0898-1221 | |
dc.identifier.lattes | 0229111130706571 | |
dc.identifier.uri | http://hdl.handle.net/11449/21747 | |
dc.identifier.wos | WOS:000077561600007 | |
dc.language.iso | eng | |
dc.publisher | Elsevier B.V. | |
dc.relation.ispartof | Computers & Mathematics With Applications | |
dc.relation.ispartofjcr | 1.860 | |
dc.relation.ispartofsjr | 1,058 | |
dc.rights.accessRights | Acesso aberto | |
dc.source | Web of Science | |
dc.subject | deferred correction | pt |
dc.subject | Lobatto formulae | pt |
dc.subject | symmetry | pt |
dc.subject | Two-point boundary value problems | pt |
dc.title | Lobatto deferred correction for stiff two-point boundary value problems | en |
dc.type | Artigo | |
dcterms.license | http://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy | |
dcterms.rightsHolder | Elsevier B.V. | |
unesp.author.lattes | 0229111130706571 | |
unesp.campus | Universidade Estadual Paulista (Unesp), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Preto | pt |
unesp.department | Ciências da Computação e Estatística - IBILCE | pt |
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