Direct Computation of Operational Matrices for Polynomial Bases


Autoria(s): GUIMARAES, Osvaldo; PIQUEIRA, Jose Roberto C.; NETTO, Marcio Lobo
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

17/04/2012

17/04/2012

2010

Resumo

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.

Identificador

MATHEMATICAL PROBLEMS IN ENGINEERING, 2010

1024-123X

http://producao.usp.br/handle/BDPI/14715

10.1155/2010/139198

http://dx.doi.org/10.1155/2010/139198

Idioma(s)

eng

Publicador

HINDAWI PUBLISHING CORPORATION

Relação

Mathematical Problems in Engineering

Direitos

openAccess

Copyright HINDAWI PUBLISHING CORPORATION

Palavras-Chave #SPECTRAL-GALERKIN METHOD #DIFFERENTIAL-EQUATIONS #LEGENDRE WAVELETS #DIRECT SOLVERS #INTEGRATION #2ND-ORDER #Engineering, Multidisciplinary #Mathematics, Interdisciplinary Applications
Tipo

article

original article

publishedVersion