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Stability of finite difference schemes for complex diffusion processes

dc.contributor.authorAraújo, Adérito
dc.contributor.authorBarbeiro, Sílvia
dc.contributor.authorSerranho, Pedro
dc.date.accessioned2012-10-11T08:56:07Z
dc.date.available2012-10-11T08:56:07Z
dc.date.issued2012
dc.description.abstractIn 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.por
dc.description.sponsorshipPTDC/SAU-ENB/111139/2009
dc.identifier.citationAraújo, 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. 1-13por
dc.identifier.issn0036-1429
dc.identifier.issn1095-7170
dc.identifier.urihttp://hdl.handle.net/10400.2/2176
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherSociety for Industrial and Applied Mathematicspor
dc.relation.publisherversionhttp://epubs.siam.org/doi/abs/10.1137/110825789?journalCode=sjnaampor
dc.subjectFinite differencespor
dc.subjectNonlinear complex diffusionpor
dc.subjectStabilitypor
dc.titleStability of finite difference schemes for complex diffusion processespor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage1296por
oaire.citation.startPage1284por
oaire.citation.titleSIAM Journal on Numerical Analysispor
oaire.citation.volume50por
person.familyNameBarbeiro
person.familyNameSerranho
person.givenNameSílvia
person.givenNamePedro
person.identifier.ciencia-id6410-69EA-9882
person.identifier.ciencia-id031F-5D62-E6EC
person.identifier.orcid0000-0002-2651-5083
person.identifier.orcid0000-0003-2176-3923
rcaap.rightsopenAccesspor
rcaap.typearticlepor
relation.isAuthorOfPublicationd3eb7e77-b7f4-4430-a55e-9ab4e155af92
relation.isAuthorOfPublicationc7f6eb4c-c743-4b38-83f5-70796c0851ca
relation.isAuthorOfPublication.latestForDiscoveryc7f6eb4c-c743-4b38-83f5-70796c0851ca

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