Uniformly distributed points on the sphere
Abstract
In this work, we present uniformly distributed sequences on the unit sphere, and we show that this property is equivalent to requiring the sequences to have a low discrepancy. Numerical integration over the sphere is taken as a direct application, and the corresponding errors are estimated. Special care is taken in relating these concepts and properties to those for the euclidean case. Several examples of uniformly distributed sequences of nodes (ensembles) are presented.
Department(s)
Mathematics
Document Type
Article
DOI
https://doi.org/10.3934/cpaa.2005.4.389
Keywords
Discrepancy, Numerical integration, Uniform sequences
Publication Date
6-1-2005
Recommended Citation
Rebaza, Jorge. "Uniformly distributed points on the sphere." Communications on Pure & Applied Analysis 4, no. 2 (2005): 389.
Journal Title
Communications on Pure and Applied Analysis
