Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/95879
DC FieldValueLanguage
dc.contributor.authorLobo, Diogo de Castro-
dc.date.accessioned2021-10-11T16:19:48Z-
dc.date.available2021-10-11T16:19:48Z-
dc.date.issued2021-
dc.identifier.issn08981221pt
dc.identifier.urihttp://hdl.handle.net/10316/95879-
dc.description.abstractThe dynamics of cross-diffusion models leads to a high computational complexity for implicit difference schemes, turning them unsuitable for tasks that require results in real-time. We propose the use of two operator splitting schemes for nonlinear cross-diffusion processes in order to lower the computational load, and establish their stability properties using discrete L 2 energy methods. Furthermore, by attaining a stable factorization of the system matrix as a forward-backward pass, corresponding to the Thomas algorithm for self-diffusion processes, we show that the use of implicit cross-diffusion can be competitive in terms of execution time, widening the range of viable cross-diffusion coefficients for on-the-fly applications.pt
dc.language.isoengpt
dc.publisherElsevierpt
dc.relationCMUC-UIDB/00324/2020pt
dc.relationPD/BD/142956/2018pt
dc.rightsopenAccesspt
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt
dc.subjectFast numerical schemespt
dc.subjectImage processingpt
dc.subjectMatrix factorizationpt
dc.subjectNonlinear cross-diffusionpt
dc.subjectOperator splittingpt
dc.titleFast stable finite difference schemes for nonlinear cross-diffusionpt
dc.typearticle-
degois.publication.firstPage23pt
degois.publication.lastPage37pt
degois.publication.titleComputers and Mathematics with Applicationspt
dc.peerreviewedyespt
dc.identifier.doi10.1016/j.camwa.2021.06.011pt
degois.publication.volume101pt
dc.date.embargo2021-01-01*
uc.date.periodoEmbargo0pt
item.languageiso639-1en-
item.fulltextCom Texto completo-
item.grantfulltextopen-
crisitem.author.researchunitCMUC - Centre for Mathematics of the University of Coimbra-
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais
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