Iterated deferred correction for linear two-point boundary value problems

Detalhes bibliográficos
Autor(a) principal: Cash, JR
Data de Publicação: 1996
Outros Autores: Silva, HHM
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://books.google.com.br/books?id=zSwaESXBRncC&lpg=PP1&hl=pt-BR&pg=PA55#v=onepage&q&f=false
http://hdl.handle.net/11449/31580
Resumo: An analysis of iterated deferred correction based on various classes of implicit Runge-Kutta formulae is given. Out of different possibilities considered, it is shown that those based purely on Lobatto formulae have the best stability. The enhanced stability of Lobatto schemes is very important for the efficient integration of excessively stiff boundary value problems and this is demonstrated by means of some numerical results.
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spelling Iterated deferred correction for linear two-point boundary value problemsdeferred correctionLobatto formulaeTwo-point boundary value problemsAn analysis of iterated deferred correction based on various classes of implicit Runge-Kutta formulae is given. Out of different possibilities considered, it is shown that those based purely on Lobatto formulae have the best stability. The enhanced stability of Lobatto schemes is very important for the efficient integration of excessively stiff boundary value problems and this is demonstrated by means of some numerical results.UNIV LONDON IMPERIAL COLL SCI TECHNOL & MED, DEPT MATH, LONDON SW7 2BZ, ENGLANDUNESP, IBILCE, DEPT CIENCIAS COMP & ESTATIST, BR-15054000 S J RIO PRETO, SP, BRAZILUNESP, IBILCE, DEPT CIENCIAS COMP & ESTATIST, BR-15054000 S J RIO PRETO, SP, BRAZILSoc Brasileira Matematica Aplicada & ComputacionalUNIV LONDON IMPERIAL COLL SCI TECHNOL & MEDUniversidade Estadual Paulista (Unesp)Cash, JRSilva, HHM2014-05-20T15:20:14Z2014-05-20T15:20:14Z1996-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article55-75http://books.google.com.br/books?id=zSwaESXBRncC&lpg=PP1&hl=pt-BR&pg=PA55#v=onepage&q&f=falseComputational & Applied Mathematics. Sao Carlos Sp: Soc Brasileira Matematica Aplicada & Computacional, v. 15, n. 1, p. 55-75, 1996.0101-8205http://hdl.handle.net/11449/31580WOS:A1996UD917000040229111130706571Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengComputational & Applied Mathematics0.8630,272info:eu-repo/semantics/openAccess2021-10-23T10:54:37Zoai:repositorio.unesp.br:11449/31580Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:06:39.263143Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Iterated deferred correction for linear two-point boundary value problems
title Iterated deferred correction for linear two-point boundary value problems
spellingShingle Iterated deferred correction for linear two-point boundary value problems
Cash, JR
deferred correction
Lobatto formulae
Two-point boundary value problems
title_short Iterated deferred correction for linear two-point boundary value problems
title_full Iterated deferred correction for linear two-point boundary value problems
title_fullStr Iterated deferred correction for linear two-point boundary value problems
title_full_unstemmed Iterated deferred correction for linear two-point boundary value problems
title_sort Iterated deferred correction for linear two-point boundary value problems
author Cash, JR
author_facet Cash, JR
Silva, HHM
author_role author
author2 Silva, HHM
author2_role author
dc.contributor.none.fl_str_mv UNIV LONDON IMPERIAL COLL SCI TECHNOL & MED
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Cash, JR
Silva, HHM
dc.subject.por.fl_str_mv deferred correction
Lobatto formulae
Two-point boundary value problems
topic deferred correction
Lobatto formulae
Two-point boundary value problems
description An analysis of iterated deferred correction based on various classes of implicit Runge-Kutta formulae is given. Out of different possibilities considered, it is shown that those based purely on Lobatto formulae have the best stability. The enhanced stability of Lobatto schemes is very important for the efficient integration of excessively stiff boundary value problems and this is demonstrated by means of some numerical results.
publishDate 1996
dc.date.none.fl_str_mv 1996-01-01
2014-05-20T15:20:14Z
2014-05-20T15:20:14Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://books.google.com.br/books?id=zSwaESXBRncC&lpg=PP1&hl=pt-BR&pg=PA55#v=onepage&q&f=false
Computational & Applied Mathematics. Sao Carlos Sp: Soc Brasileira Matematica Aplicada & Computacional, v. 15, n. 1, p. 55-75, 1996.
0101-8205
http://hdl.handle.net/11449/31580
WOS:A1996UD91700004
0229111130706571
url http://books.google.com.br/books?id=zSwaESXBRncC&lpg=PP1&hl=pt-BR&pg=PA55#v=onepage&q&f=false
http://hdl.handle.net/11449/31580
identifier_str_mv Computational & Applied Mathematics. Sao Carlos Sp: Soc Brasileira Matematica Aplicada & Computacional, v. 15, n. 1, p. 55-75, 1996.
0101-8205
WOS:A1996UD91700004
0229111130706571
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Computational & Applied Mathematics
0.863
0,272
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 55-75
dc.publisher.none.fl_str_mv Soc Brasileira Matematica Aplicada & Computacional
publisher.none.fl_str_mv Soc Brasileira Matematica Aplicada & Computacional
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129021616062464

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