A note on B-stability of splitting methods
| Autor(a) principal: | |
|---|---|
| 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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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 |
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2004 |
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info:eu-repo/semantics/publishedVersion |
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info:eu-repo/semantics/article |
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article |
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publishedVersion |
| 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 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
Computing and Visualization in Science. 6:2 (2004) 53-57 |
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info:eu-repo/semantics/openAccess |
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openAccess |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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