On fitting stability regions of second derivative multi-step methods

Detalhes bibliográficos
Autor(a) principal: Oliveira, Paula de
Data de Publicação: 1992
Outros Autores: Patrício, Fernanda
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/8332
https://doi.org/10.1002/cnm.1630080602
Resumo: A class of second-derivative two-step methods, S(2), with order 5 and depending on two parameters - which are used to adapt the stability region while minimizing the truncation error coefficient - is constructed. An analysis of two subclasses of S(2)-A(0) stable methods and methods with finite stability interval - with their stability and accuracy properties is presented. Numerical examples are also included.
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spelling On fitting stability regions of second derivative multi-step methodsA class of second-derivative two-step methods, S(2), with order 5 and depending on two parameters - which are used to adapt the stability region while minimizing the truncation error coefficient - is constructed. An analysis of two subclasses of S(2)-A(0) stable methods and methods with finite stability interval - with their stability and accuracy properties is presented. Numerical examples are also included.1992info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/8332http://hdl.handle.net/10316/8332https://doi.org/10.1002/cnm.1630080602engCommunications in Applied Numerical Methods. 8:6 (1992) 351-360Oliveira, Paula dePatrício, Fernandainfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2021-08-23T10:33:08Zoai:estudogeral.uc.pt:10316/8332Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:55:32.748578Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv On fitting stability regions of second derivative multi-step methods
title On fitting stability regions of second derivative multi-step methods
spellingShingle On fitting stability regions of second derivative multi-step methods
Oliveira, Paula de
title_short On fitting stability regions of second derivative multi-step methods
title_full On fitting stability regions of second derivative multi-step methods
title_fullStr On fitting stability regions of second derivative multi-step methods
title_full_unstemmed On fitting stability regions of second derivative multi-step methods
title_sort On fitting stability regions of second derivative multi-step methods
author Oliveira, Paula de
author_facet Oliveira, Paula de
Patrício, Fernanda
author_role author
author2 Patrício, Fernanda
author2_role author
dc.contributor.author.fl_str_mv Oliveira, Paula de
Patrício, Fernanda
description A class of second-derivative two-step methods, S(2), with order 5 and depending on two parameters - which are used to adapt the stability region while minimizing the truncation error coefficient - is constructed. An analysis of two subclasses of S(2)-A(0) stable methods and methods with finite stability interval - with their stability and accuracy properties is presented. Numerical examples are also included.
publishDate 1992
dc.date.none.fl_str_mv 1992
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10316/8332
http://hdl.handle.net/10316/8332
https://doi.org/10.1002/cnm.1630080602
url http://hdl.handle.net/10316/8332
https://doi.org/10.1002/cnm.1630080602
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Communications in Applied Numerical Methods. 8:6 (1992) 351-360
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dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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