New steps on Sobolev orthogonality in two variables

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article; Proceedings Paper

Bracciali, Cleonice F.³  Delgado, Antonia M.^1,2  Fernandez, Lidia^1,2  Perez, Teresa E.^1,2  Pinar, Miguel A.^1,2 

[1] Univ Granada, Dpto Matemat Aplicada, E-18071 Granada, Spain

[2] Univ Granada, Inst Carlos I Fis Teor & Computac, E-18071 Granada, Spain

[3] UNESP Univ Estadual Paulista, DCCE, IBILCE, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil

关键词: Orthogonal polynomials in two variables;    Sobolev orthogonal polynomials;    Classical orthogonal polynomials;   

DOI  :  10.1016/j.cam.2010.07.006

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free