A Time-Splitting Tau Method for PDE's: A Contribution for the Spectral Tau Toolbox Library

• Tipo: Artigo em Revista Científica Internacional
• Data: 2022

Autores

Lima, N (Autor) Outra; José Abilio de Oliveira Matos (Autor) FEP; Matos, JMA (Autor) Outra; vasconcelos, pb (Autor) FEP

Revista

Título: Mathematics in Computer Science

Vol. 16 Nº 1

Páginas: 6-11

ISSN: 1661-8270

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 1 Citação

Scopus - 1 Citação

Outras Informações

ID Authenticus: P-00W-ES9

DOI: 10.1007/s11786-022-00526-7

Abstract (EN): This paper presents implementation details of an extension of the algebraic formulation for the spectral Tau method for the numerical solution of time-space partial differential problems, together with illustrative numerical examples. This extension implementation highlights (i) the orthogonal basis choice, (ii) the construction of the problem's algebraic representation and (iii) the mechanisms to tackle certain partial differential problems with ease. This effort will be delivered to the scientific community as a crucial building block of the Tau Toolbox (a numerical library for the solution of integro-differential problems).

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 11