Direct Computation of Operational Matrices for Polynomial Bases-Reference-Cited by-同舟云学术

Direct Computation of Operational Matrices for Polynomial Bases

Published:2010 Issue: Volume:2010 Page:1-12
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Guimarães Osvaldo¹^ORCID,Piqueira José Roberto C.¹^ORCID,Lobo Netto Marcio¹

Affiliation:

1. Escola Politécnica da Universidade de São Paulo, Avenida Prof. Luciano Gualberto, Travessa 3, n. 158, 05508-900 São Paulo, SP, Brazil

Abstract

Several numerical methods for boundary value problems use integral and differential operational matrices, expressed in polynomial bases in a Hilbert space of functions. This work presents a sequence of matrix operations allowing a direct computation of operational matrices for polynomial bases, orthogonal or not, starting with any previously known reference matrix. Furthermore, it shows how to obtain the reference matrix for a chosen polynomial base. The results presented here can be applied not only for integration and differentiation, but also for any linear operation.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2010/139198.pdf

Reference15 articles.

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