New implementation of the Tau method for PDEs

• Tipo: Artigo em Revista Científica Internacional
• Data: 2004

Autores

Matos, J (Autor) Outra; Rodrigues, MJ (Autor) FCUP; Vasconcelos, PB (Autor) FEP

Revista

Título: Journal of Computational and Applied Mathematics

Vol. 164

Páginas: 555-567

ISSN: 0377-0427

Editora: Elsevier

Indexação

ISI Web of Knowledge - 10 Citações

Scopus - 13 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-000-BE4

DOI: 10.1016/j.cam.2003.09.054

Abstract (EN): In this work we propose an extension of the algebraic formulation for the Tau method for the numerical solution of partial differential problems set on domains in R-n, n>2. This extension is based on an appropriate choice of a basis for the space of polynomials in R-n and on the construction of the algebraic equivalent representation of the problem. Another feature of this implementation is related to the solution procedure for the necessarily large dimensional linear systems involved. We developed for this purpose an adapted LU factorization with a special pivoting strategy to build approximants in the sense of Tau method and to allow the solution of large problems. Numerical results for differential problems in 2D and 4D will be shown.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 13