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https://hdl.handle.net/10316/95879
Título: | Fast stable finite difference schemes for nonlinear cross-diffusion | Autor: | Lobo, Diogo de Castro | Palavras-chave: | Fast numerical schemes; Image processing; Matrix factorization; Nonlinear cross-diffusion; Operator splitting | Data: | 2021 | Editora: | Elsevier | Projeto: | CMUC-UIDB/00324/2020 PD/BD/142956/2018 |
Título da revista, periódico, livro ou evento: | Computers and Mathematics with Applications | Volume: | 101 | Resumo: | 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. | URI: | https://hdl.handle.net/10316/95879 | ISSN: | 08981221 | DOI: | 10.1016/j.camwa.2021.06.011 | Direitos: | openAccess |
Aparece nas coleções: | I&D CMUC - Artigos em Revistas Internacionais |
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Ficheiro | Descrição | Tamanho | Formato | |
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2105.04043.pdf | 443.63 kB | Adobe PDF | Ver/Abrir |
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