Simple formula for integration of polynomials on a simplex
نویسندگان
چکیده
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Sobolev Orthogonal Polynomials on a Simplex
The Jacobi polynomials on the simplex are orthogonal polynomials with respect to the weight function Wγ(x) = x γ1 1 · · ·x γd d (1− |x|)d+1 when all γi > −1 and they are eigenfunctions of a second order partial differential operator Lγ . The singular cases that some, or all, γ1, . . . , γd+1 are −1 are studied in this paper. Firstly a complete basis of polynomials that are eigenfunctions of Lγ ...
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ژورنال
عنوان ژورنال: BIT Numerical Mathematics
سال: 2020
ISSN: 0006-3835,1572-9125
DOI: 10.1007/s10543-020-00828-x