New steps on Sobolev orthogonality in two variables
| Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
|---|---|
| Data(s) |
20/05/2014
20/05/2014
15/12/2010
|
| Resumo |
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Sobolev orthogonal polynomials in two variables are defined via inner products involving gradients. Such a kind of inner product appears in connection with several physical and technical problems. Matrix second-order partial differential equations satisfied by Sobolev orthogonal polynomials are studied. In particular, we explore the connection between the coefficients of the second-order partial differential operator and the moment functionals defining the Sobolev inner product. Finally, some old and new examples are given. (C) 2010 Elsevier B.V. All rights reserved. |
| Formato |
916-926 |
| Identificador |
http://dx.doi.org/10.1016/j.cam.2010.07.006 Journal of Computational and Applied Mathematics. Amsterdam: Elsevier B.V., v. 235, n. 4, p. 916-926, 2010. 0377-0427 http://hdl.handle.net/11449/21818 10.1016/j.cam.2010.07.006 WOS:000283902100005 |
| Idioma(s) |
eng |
| Publicador |
Elsevier B.V. |
| Relação |
Journal of Computational and Applied Mathematics |
| Direitos |
closedAccess |
| Palavras-Chave | #Orthogonal polynomials in two variables #Sobolev orthogonal polynomials #Classical orthogonal polynomials |
| Tipo |
info:eu-repo/semantics/article |
