Spherical Orthogonal Polynomials and Symbolic-Numeric Gaussian Cubature Formulas
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It is well-known that the classical univariate orthogonal polynomials give rise to highly efficient Gaussian quadrature rules. We show how the classical orthogonal polynomials can be generalized to a multivariate setting and how this generalization leads to Gaussian cubature rules for specific families of multivariate polynomials.
[1] Annie Cuyt. Pade Approximants for Operators: Theory and Applications , 1984 .
[2] G. Fasshauer. Approximate Moving Least-Squares Approximation with Compactly Supported Radial Weights , 2003 .
[3] Annie A. M. Cuyt,et al. Multivariate orthogonal polynomials, homogeneous Padé approximants and Gaussian cubature , 2004, Numerical Algorithms.
[4] Annie A. M. Cuyt,et al. Properties of Multivariate Homogeneous Orthogonal Polynomials , 2001, J. Approx. Theory.