Hermite spectral and pseudospectral methods for nonlinear partial differential equation in multiple dimensions

Detalhes bibliográficos
Autor(a) principal: Cheng-Long,Xu
Data de Publicação: 2003
Outros Autores: Ben-Yu,Guo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022003000200002
Resumo: Hermite approximation in multiple dimensions is investigated. As an example, a spectral scheme and a pseudospectral scheme for the Logistic equation are constructed, respectively. The stability and the convergence of the proposed schemes are proved. Numerical results show the high accuracy of this new approach.
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spelling Hermite spectral and pseudospectral methods for nonlinear partial differential equation in multiple dimensionsHermite approximationnonlinear partial differential equationsmultiple dimensionsHermite approximation in multiple dimensions is investigated. As an example, a spectral scheme and a pseudospectral scheme for the Logistic equation are constructed, respectively. The stability and the convergence of the proposed schemes are proved. Numerical results show the high accuracy of this new approach.Sociedade Brasileira de Matemática Aplicada e Computacional2003-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022003000200002Computational & Applied Mathematics v.22 n.2 2003reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMAC10.1590/S0101-82052003000200002info:eu-repo/semantics/openAccessCheng-Long,XuBen-Yu,Guoeng2004-07-20T00:00:00Zoai:scielo:S1807-03022003000200002Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2004-07-20T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false
dc.title.none.fl_str_mv Hermite spectral and pseudospectral methods for nonlinear partial differential equation in multiple dimensions
title Hermite spectral and pseudospectral methods for nonlinear partial differential equation in multiple dimensions
spellingShingle Hermite spectral and pseudospectral methods for nonlinear partial differential equation in multiple dimensions
Cheng-Long,Xu
Hermite approximation
nonlinear partial differential equations
multiple dimensions
title_short Hermite spectral and pseudospectral methods for nonlinear partial differential equation in multiple dimensions
title_full Hermite spectral and pseudospectral methods for nonlinear partial differential equation in multiple dimensions
title_fullStr Hermite spectral and pseudospectral methods for nonlinear partial differential equation in multiple dimensions
title_full_unstemmed Hermite spectral and pseudospectral methods for nonlinear partial differential equation in multiple dimensions
title_sort Hermite spectral and pseudospectral methods for nonlinear partial differential equation in multiple dimensions
author Cheng-Long,Xu
author_facet Cheng-Long,Xu
Ben-Yu,Guo
author_role author
author2 Ben-Yu,Guo
author2_role author
dc.contributor.author.fl_str_mv Cheng-Long,Xu
Ben-Yu,Guo
dc.subject.por.fl_str_mv Hermite approximation
nonlinear partial differential equations
multiple dimensions
topic Hermite approximation
nonlinear partial differential equations
multiple dimensions
description Hermite approximation in multiple dimensions is investigated. As an example, a spectral scheme and a pseudospectral scheme for the Logistic equation are constructed, respectively. The stability and the convergence of the proposed schemes are proved. Numerical results show the high accuracy of this new approach.
publishDate 2003
dc.date.none.fl_str_mv 2003-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022003000200002
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022003000200002
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0101-82052003000200002
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv Computational & Applied Mathematics v.22 n.2 2003
reponame:Computational & Applied Mathematics
instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron:SBMAC
instname_str Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron_str SBMAC
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reponame_str Computational & Applied Mathematics
collection Computational & Applied Mathematics
repository.name.fl_str_mv Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
repository.mail.fl_str_mv ||sbmac@sbmac.org.br
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