Stability of finite difference schemes for complex diffusion processes

Detalhes bibliográficos
Autor(a) principal: Araújo, Adérito
Data de Publicação: 2012
Outros Autores: Barbeiro, Sílvia, Serranho, Pedro
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/2176
Resumo: In this paper we present a rigorous proof for the stability of a class of finite difference schemes applied to nonlinear complex diffusion equations. Complex diffusion is a common and broadly used denoising procedure in image processing. To illustrate the theoretical results we present some numerical examples based on an explicit scheme applied to a nonlinear equation in the context of image denoising.
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spelling Stability of finite difference schemes for complex diffusion processesFinite differencesNonlinear complex diffusionStabilityIn this paper we present a rigorous proof for the stability of a class of finite difference schemes applied to nonlinear complex diffusion equations. Complex diffusion is a common and broadly used denoising procedure in image processing. To illustrate the theoretical results we present some numerical examples based on an explicit scheme applied to a nonlinear equation in the context of image denoising.PTDC/SAU-ENB/111139/2009Society for Industrial and Applied MathematicsRepositório AbertoAraújo, AdéritoBarbeiro, SílviaSerranho, Pedro2012-10-11T08:56:07Z20122012-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/2176engAraújo, Adérito; Barbeiro, Sílvia; Serranho, Pedro - Stability of finite difference schemes for complex diffusion processes. "SIAM Journal on Numerical Analysis" [Em linha]. ISSN 0036-1429 (Print) 1095-7170 (Online). Vol. 50, nº3 (2012), p. 1-130036-1429info: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:RCAAP2023-11-16T15:15:34Zoai:repositorioaberto.uab.pt:10400.2/2176Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:43:44.746246Repositório 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 Stability of finite difference schemes for complex diffusion processes
title Stability of finite difference schemes for complex diffusion processes
spellingShingle Stability of finite difference schemes for complex diffusion processes
Araújo, Adérito
Finite differences
Nonlinear complex diffusion
Stability
title_short Stability of finite difference schemes for complex diffusion processes
title_full Stability of finite difference schemes for complex diffusion processes
title_fullStr Stability of finite difference schemes for complex diffusion processes
title_full_unstemmed Stability of finite difference schemes for complex diffusion processes
title_sort Stability of finite difference schemes for complex diffusion processes
author Araújo, Adérito
author_facet Araújo, Adérito
Barbeiro, Sílvia
Serranho, Pedro
author_role author
author2 Barbeiro, Sílvia
Serranho, Pedro
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Araújo, Adérito
Barbeiro, Sílvia
Serranho, Pedro
dc.subject.por.fl_str_mv Finite differences
Nonlinear complex diffusion
Stability
topic Finite differences
Nonlinear complex diffusion
Stability
description In this paper we present a rigorous proof for the stability of a class of finite difference schemes applied to nonlinear complex diffusion equations. Complex diffusion is a common and broadly used denoising procedure in image processing. To illustrate the theoretical results we present some numerical examples based on an explicit scheme applied to a nonlinear equation in the context of image denoising.
publishDate 2012
dc.date.none.fl_str_mv 2012-10-11T08:56:07Z
2012
2012-01-01T00:00:00Z
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/10400.2/2176
url http://hdl.handle.net/10400.2/2176
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Araújo, Adérito; Barbeiro, Sílvia; Serranho, Pedro - Stability of finite difference schemes for complex diffusion processes. "SIAM Journal on Numerical Analysis" [Em linha]. ISSN 0036-1429 (Print) 1095-7170 (Online). Vol. 50, nº3 (2012), p. 1-13
0036-1429
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Society for Industrial and Applied Mathematics
publisher.none.fl_str_mv Society for Industrial and Applied Mathematics
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
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