Dealing with functional coefficients within tau method

• Type: Article in International Conference Proceedings Book
• Date: 2017

Authors

Trindade, MS (Author) Other; Matos, JMA (Author) Other; vasconcelos, pb (Author) FEP

Conference proceedings International

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

Pages: 11-26

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

6 April 2017 through 7 April 2017

Indexing

Scopus - 0 Citations

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific