Dealing with functional coefficients within tau method

• Tipo: Artigo em Livro de Atas de Conferência Internacional
• Data: 2017

Autores

Trindade, MS (Autor) Outra; Matos, JMA (Autor) Outra; vasconcelos, pb (Autor) FEP

Ata de Conferência Internacional

Título: SYMCOMP 2017 - 3rd International Conference on Numerical and Symbolic Computation: Developments and Applications, Proceedings

Páginas: 11-26

3rd International Conference on Numerical and Symbolic Computation: Developments and Applications, SYMCOMP 2017

6 April 2017 through 7 April 2017

Indexação

Scopus - 0 Citações

Outras Informações

ID Authenticus: P-00N-J0F

Abstract (EN): The tau method is a spectral method originally proposed by Lanczos for the solution of linear differential problems with polynomial coeficients. In this contribution we present three approches to deal with differential equations with non-polinomial functional coeficients: (i) making use of function of matrices, (ii) applying orthogonal interpolation and (iii) solving auxiliary differential problems by 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. © ECCOMAS, Portugal.

Idioma: Inglês

Tipo (Avaliação Docente): Científica