A note on B-stability of splitting methods

Detalhes bibliográficos
Autor(a) principal: Araújo, A.
Data de Publicação: 2004
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/7766
https://doi.org/10.1007/s00791-003-0108-x
Resumo: An important requirement of numerical methods for the integration of nonlinear stiff initial value problems is B-stability. In many applications it is also convenient to use splitting methods to take advantage of the special structure of the differential operator that defines the model. The purpose of this paper is to provide a necessary and sufficient condition for the B-stability of additive Runge–Kutta methods. We also present a family of B-stable fractional step Runge–Kutta methods.
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spelling A note on B-stability of splitting methodsAn important requirement of numerical methods for the integration of nonlinear stiff initial value problems is B-stability. In many applications it is also convenient to use splitting methods to take advantage of the special structure of the differential operator that defines the model. The purpose of this paper is to provide a necessary and sufficient condition for the B-stability of additive Runge–Kutta methods. We also present a family of B-stable fractional step Runge–Kutta methods.2004info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/7766http://hdl.handle.net/10316/7766https://doi.org/10.1007/s00791-003-0108-xengComputing and Visualization in Science. 6:2 (2004) 53-57Araújo, A.info: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:RCAAP2020-05-25T13:05:59Zoai:estudogeral.uc.pt:10316/7766Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:00:39.309067Repositório 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 A note on B-stability of splitting methods
title A note on B-stability of splitting methods
spellingShingle A note on B-stability of splitting methods
Araújo, A.
title_short A note on B-stability of splitting methods
title_full A note on B-stability of splitting methods
title_fullStr A note on B-stability of splitting methods
title_full_unstemmed A note on B-stability of splitting methods
title_sort A note on B-stability of splitting methods
author Araújo, A.
author_facet Araújo, A.
author_role author
dc.contributor.author.fl_str_mv Araújo, A.
description An important requirement of numerical methods for the integration of nonlinear stiff initial value problems is B-stability. In many applications it is also convenient to use splitting methods to take advantage of the special structure of the differential operator that defines the model. The purpose of this paper is to provide a necessary and sufficient condition for the B-stability of additive Runge–Kutta methods. We also present a family of B-stable fractional step Runge–Kutta methods.
publishDate 2004
dc.date.none.fl_str_mv 2004
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10316/7766
http://hdl.handle.net/10316/7766
https://doi.org/10.1007/s00791-003-0108-x
url http://hdl.handle.net/10316/7766
https://doi.org/10.1007/s00791-003-0108-x
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dc.relation.none.fl_str_mv Computing and Visualization in Science. 6:2 (2004) 53-57
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