Direct Computation of Operational Matrices for Polynomial Bases
Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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Data(s) |
17/04/2012
17/04/2012
2010
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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 |
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 |