New steps on Sobolev orthogonality in two variables
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Data
2010-12-15
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Elsevier B.V.
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Artigo
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Resumo
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.
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Journal of Computational and Applied Mathematics. Amsterdam: Elsevier B.V., v. 235, n. 4, p. 916-926, 2010.
