Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/86694
Título: | Structural schemes for one dimension stationary equations |
Autor(es): | Clain, Stéphane Pereira, Rui M. S. Pereira, Paulo A. Lopes, Diogo |
Palavras-chave: | Structural equation Compact scheme Very high-order Finite difference |
Data: | 2023 |
Editora: | Elsevier 1 |
Revista: | Applied Mathematics and Computation |
Citação: | Clain, S., Pereira, R. M. S., Pereira, P. A., & Lopes, D. (2023, November). Structural schemes for one dimension stationary equations. Applied Mathematics and Computation. Elsevier BV. http://doi.org/10.1016/j.amc.2023.128207 |
Resumo(s): | In this paper, we propose a new paradigm for finite differences numerical methods, based on compact schemes to provide high order accurate approximations of a smooth solution. The method involves its derivatives approximations at the grid points and the construction of structural equations deriving from the kernels of a matrix that gathers the variables belonging to a small stencil. Numerical schemes involve combinations of physical equations and the structural relations. We have analysed the spectral resolution of the most common structural equations and performed numerical tests to address both the stability and accuracy issues for popular linear and non-linear problems. Several benchmarks are presented that ensure that the developed technology can cope with several problems that may involve non-linearity. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/86694 |
DOI: | 10.1016/j.amc.2023.128207 |
ISSN: | 0096-3003 |
Versão da editora: | https://www.sciencedirect.com/science/article/pii/S0096300323003764 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals PHYSICS OF QUANTUM MATERIALS AND BIONANOSTRUCTURES (2018 - ...) |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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Struct_schemes_AMC.pdf | 1,86 MB | Adobe PDF | Ver/Abrir |
Este trabalho está licenciado sob uma Licença Creative Commons