Numerical integration on the sphere-Reference-Cited by-同舟云学术

Numerical integration on the sphere

Published:1982-01 Issue:3 Volume:23 Page:332-347
ISSN:0334-2700
Container-title:The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
language:en
Short-container-title:J. Aust. Math. Soc. Series B, Appl. Math

Author:

Atkinson Kendall

Abstract

AbstractThis is a discussion of some numerical integration methods for surface integrals over the unit sphere in R3. Product Gaussian quadrature and finite-element type methods are considered. The paper concludes with a discussion of the evaluation of singular double layer integrals arising in potential theory.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

Reference14 articles.

1. Cubature formulas on the sphere invariant under finite groups of rotations;Sobolev;Soviet Math.,1962

2. Constructive polynomial approximation on spheres and projective spaces;Ragozin;Trans. Amer. Math. Soc.,1971

3. [6] Keast P. and diaz J. , “Quadrature rules for the surface of the s-dimensional sphere”, preprint, Univ. of Toronto, 1979.

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