Numerical solution for the wave equation

Detalhes bibliográficos
Autor(a) principal: Patrício, M. F.
Data de Publicação: 2009
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/11152
https://doi.org/10.1080/00207160701609532
Resumo: In this paper we study numerical solutions for a hyperbolic system of equations using finite differences. In this setting, we propose the method of lines, with high precision in space. A class of some explicit, implicit and also semi-implicit schemes, with code variable methods, are presented. Finally, the analysis of some qualitative and quantitative proprieties of these methods is included.
id RCAP_27067ecee535f172d80fae33487e8ca4
oai_identifier_str oai:estudogeral.uc.pt:10316/11152
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Numerical solution for the wave equationHyperbolic systemsFinite differencesStabilityIn this paper we study numerical solutions for a hyperbolic system of equations using finite differences. In this setting, we propose the method of lines, with high precision in space. A class of some explicit, implicit and also semi-implicit schemes, with code variable methods, are presented. Finally, the analysis of some qualitative and quantitative proprieties of these methods is included.Taylor & Francis2009-04info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/11152http://hdl.handle.net/10316/11152https://doi.org/10.1080/00207160701609532engInternational Journal of Computer Mathematics. 86:4 (2009) 589-5970020-7160Patrício, M. F.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:RCAAP2020-05-25T13:07:35Zoai:estudogeral.uc.pt:10316/11152Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:00:46.768691Repositório 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 Numerical solution for the wave equation
title Numerical solution for the wave equation
spellingShingle Numerical solution for the wave equation
Patrício, M. F.
Hyperbolic systems
Finite differences
Stability
title_short Numerical solution for the wave equation
title_full Numerical solution for the wave equation
title_fullStr Numerical solution for the wave equation
title_full_unstemmed Numerical solution for the wave equation
title_sort Numerical solution for the wave equation
author Patrício, M. F.
author_facet Patrício, M. F.
author_role author
dc.contributor.author.fl_str_mv Patrício, M. F.
dc.subject.por.fl_str_mv Hyperbolic systems
Finite differences
Stability
topic Hyperbolic systems
Finite differences
Stability
description In this paper we study numerical solutions for a hyperbolic system of equations using finite differences. In this setting, we propose the method of lines, with high precision in space. A class of some explicit, implicit and also semi-implicit schemes, with code variable methods, are presented. Finally, the analysis of some qualitative and quantitative proprieties of these methods is included.
publishDate 2009
dc.date.none.fl_str_mv 2009-04
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/10316/11152
http://hdl.handle.net/10316/11152
https://doi.org/10.1080/00207160701609532
url http://hdl.handle.net/10316/11152
https://doi.org/10.1080/00207160701609532
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv International Journal of Computer Mathematics. 86:4 (2009) 589-597
0020-7160
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Taylor & Francis
publisher.none.fl_str_mv Taylor & Francis
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution 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
repository.mail.fl_str_mv
_version_ 1799133898389585920