Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/95879
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lobo, Diogo de Castro | - |
dc.date.accessioned | 2021-10-11T16:19:48Z | - |
dc.date.available | 2021-10-11T16:19:48Z | - |
dc.date.issued | 2021 | - |
dc.identifier.issn | 08981221 | pt |
dc.identifier.uri | https://hdl.handle.net/10316/95879 | - |
dc.description.abstract | The 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.iso | eng | pt |
dc.publisher | Elsevier | pt |
dc.relation | PD/BD/142956/2018 | pt |
dc.relation | UIDB/00324/2020 | pt |
dc.rights | openAccess | pt |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | pt |
dc.subject | Fast numerical schemes | pt |
dc.subject | Image processing | pt |
dc.subject | Matrix factorization | pt |
dc.subject | Nonlinear cross-diffusion | pt |
dc.subject | Operator splitting | pt |
dc.title | Fast stable finite difference schemes for nonlinear cross-diffusion | pt |
dc.type | article | - |
degois.publication.firstPage | 23 | pt |
degois.publication.lastPage | 37 | pt |
degois.publication.title | Computers and Mathematics with Applications | pt |
dc.peerreviewed | yes | pt |
dc.identifier.doi | 10.1016/j.camwa.2021.06.011 | pt |
degois.publication.volume | 101 | pt |
dc.date.embargo | 2021-01-01 | * |
uc.date.periodoEmbargo | 0 | pt |
item.fulltext | Com Texto completo | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
item.openairetype | article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
crisitem.project.grantno | Center for Mathematics, University of Coimbra- CMUC | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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2105.04043.pdf | 443.63 kB | Adobe PDF | View/Open |
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This item is licensed under a Creative Commons License