A converging finite volume scheme for hyperbolic conservation laws with source terms
Autor(a) principal: | |
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Data de Publicação: | 1999 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10316/4658 https://doi.org/10.1016/S0377-0427(99)00146-6 |
Resumo: | In this paper we study convergence of numerical discretizations of hyperbolic nonhomogeneous scalar conservation laws. Particular attention is devoted to point source problems. Standard numerical methods, obtained by a direct discretization of the differential form, fail to converge, even in the linear case. We consider the equation in integral form in order to construct a class of convergent accurate methods. Numerical examples are included. |
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7160 |
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A converging finite volume scheme for hyperbolic conservation laws with source termsHyperbolic conservation lawsSingular source termDirac delta functionsFinite volume methodsConservative numerical methodsIn this paper we study convergence of numerical discretizations of hyperbolic nonhomogeneous scalar conservation laws. Particular attention is devoted to point source problems. Standard numerical methods, obtained by a direct discretization of the differential form, fail to converge, even in the linear case. We consider the equation in integral form in order to construct a class of convergent accurate methods. Numerical examples are included.http://www.sciencedirect.com/science/article/B6TYH-3YMFK8J-R/1/cbe49d4b91208a476f2e65596d7935111999info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleaplication/PDFhttp://hdl.handle.net/10316/4658http://hdl.handle.net/10316/4658https://doi.org/10.1016/S0377-0427(99)00146-6engJournal of Computational and Applied Mathematics. 111:1-2 (1999) 239-251Santos, J.Oliveira, P. deinfo: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:RCAAP2020-11-06T16:59:50Zoai:estudogeral.uc.pt:10316/4658Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:00:46.488389Repositório 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 converging finite volume scheme for hyperbolic conservation laws with source terms |
title |
A converging finite volume scheme for hyperbolic conservation laws with source terms |
spellingShingle |
A converging finite volume scheme for hyperbolic conservation laws with source terms Santos, J. Hyperbolic conservation laws Singular source term Dirac delta functions Finite volume methods Conservative numerical methods |
title_short |
A converging finite volume scheme for hyperbolic conservation laws with source terms |
title_full |
A converging finite volume scheme for hyperbolic conservation laws with source terms |
title_fullStr |
A converging finite volume scheme for hyperbolic conservation laws with source terms |
title_full_unstemmed |
A converging finite volume scheme for hyperbolic conservation laws with source terms |
title_sort |
A converging finite volume scheme for hyperbolic conservation laws with source terms |
author |
Santos, J. |
author_facet |
Santos, J. Oliveira, P. de |
author_role |
author |
author2 |
Oliveira, P. de |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Santos, J. Oliveira, P. de |
dc.subject.por.fl_str_mv |
Hyperbolic conservation laws Singular source term Dirac delta functions Finite volume methods Conservative numerical methods |
topic |
Hyperbolic conservation laws Singular source term Dirac delta functions Finite volume methods Conservative numerical methods |
description |
In this paper we study convergence of numerical discretizations of hyperbolic nonhomogeneous scalar conservation laws. Particular attention is devoted to point source problems. Standard numerical methods, obtained by a direct discretization of the differential form, fail to converge, even in the linear case. We consider the equation in integral form in order to construct a class of convergent accurate methods. Numerical examples are included. |
publishDate |
1999 |
dc.date.none.fl_str_mv |
1999 |
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://hdl.handle.net/10316/4658 http://hdl.handle.net/10316/4658 https://doi.org/10.1016/S0377-0427(99)00146-6 |
url |
http://hdl.handle.net/10316/4658 https://doi.org/10.1016/S0377-0427(99)00146-6 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of Computational and Applied Mathematics. 111:1-2 (1999) 239-251 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
aplication/PDF |
dc.source.none.fl_str_mv |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799133898383294464 |