On spherical harmonics based numerical quadrature over the surface of a sphere

被引：0
|
作者：
Bengt Fornberg
Jordan M. Martel
机构：
[1] University of Colorado at Boulder,Department of Applied Mathematics
[2] University of Colorado at Boulder,Leeds School of Business
来源：
Advances in Computational Mathematics | 2014年 / 40卷
关键词：
Quadrature; Sphere; Spherical harmonics; ME nodes; MD nodes; Gaussian quadrature; 65D30; 65D32; 41A55;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
It has been suggested in the literature that different quasi-uniform node sets on a sphere lead to quadrature formulas of highly variable quality. We analyze here the nature of these variations, and describe an easy-to-implement least-squares remedy for previously problematic cases. Quadrature accuracies are then compared for different node sets ranging from fully random to those based on Gaussian quadrature concepts.
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页码：1169 / 1184
页数：15
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