Dealing with Functional Coefficients Within Tau Method

• Tipo: Artigo em Revista Científica Internacional
• Data: 2018

Autores

Trindade, M (Autor) Outra; Matos, J (Autor) Outra; vasconcelos, pb (Autor) FEP

Revista

Título: Mathematics in Computer Science

Vol. 12

Páginas: 183-195

ISSN: 1661-8270

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 2 Citações

Scopus - 1 Citação

Outras Informações

ID Authenticus: P-00N-S2H

DOI: 10.1007/s11786-018-0331-y

Abstract (EN): The spectral tau method was originally proposed by Lanczos for the solution of linear differential problems with polynomial coefficients. In this contribution we present three approaches to tackle integro-differential equations with non-polynomial coefficients: (i) making use of functions of matrices, (ii) applying orthogonal interpolation and (iii) solving auxiliary differential problems by the tau method itself. These approaches are part of the Tau Toolbox efforts for deploying a numerical library for the solution of integro-differential problems. Numerical experiments illustrate the use of all these polynomial approximations in the context of the tau method. © 2018 Springer International Publishing AG, part of Springer Nature

Idioma: Inglês

Tipo (Avaliação Docente): Científica