Multivariate orthogonal polynomials, homogeneous Padé approximants and Gaussian cubature

Numerical Algorithms

Volumn 24, Issue 1-2, 2000, Pages 1-15

  Benouahmane, Brahim ^b   Cuyt, Annie ^a  

^a UNIVERSITY OF ANTWERP   (Belgium)

^b NONE

Author keywords

Cubature; Gaussian quadrature; Multivariate; Orthogonal polynomials; Pad approximation

Indexed keywords

EID: 0034409115     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1019128823463     Document Type: Article

References (9)

1. B. Benouahmane and A. Cuyt, Properties of multivariate homogeneous orthogonal polynomials, submitted to J. Approx. Theory.
2. C. Brezinski, Padé-type Approximation and General Orthogonal Polynomials (Birkhäuser, Basel, 1980).
3. C. Chaffy, Interpolation polynomiale et rationnelle d'une fonction de plusieurs variables complexes, Thèse, Institut Polytechnique Grenoble (1984).
4. R. Cools, Constructing cubature formulas: The science behind the art, Acta Numerica (1997) 1-53.
5. A. Cuyt, Padé Approximants for Operators: Theory and Applications, Lecture Notes in Mathematics, Vol. 1065 (Springer, Berlin, 1984).
6. A. Cuyt, How well can the concept of Padé approximant be generalized to the multivariate case?, J. Comput. Appl. Math. 105 (1999) 25-50.
7. A. Cuyt and L. Wuytack, Nonlinear Methods in Numerical Analysis (North-Holland, Amsterdam, 1987).
8. R. Gunning and H. Rossi, Analytic Functions of Several Complex Variables (Prentice-Hall, Englewood Cliffs, NJ, 1965).
9. M.A. Kowalski, Orthogonality and recursion formulas for polynomials in n variables, SIAM J. Math. Anal. 13 (1982) 316-323.