Constructing fully symmetric cubature formulae for the sphere

Authors
Heo, S Xu, Y
Citation
S. Heo et Y. Xu, Constructing fully symmetric cubature formulae for the sphere, MATH COMPUT, 70(233), 2001, pp. 269-279
Citations number
23
Categorie Soggetti
Mathematics
Journal title
MATHEMATICS OF COMPUTATION
ISSN journal
00255718 → ACNP
Volume
70
Issue
233
Year of publication
2001
Pages
269 - 279
Database
ISI
SICI code
0025-5718(200101)70:233<269:CFSCFF>2.0.ZU;2-L
Abstract
We construct symmetric cubature formulae of degrees in the 13-39 range for the surface measure on the unit sphere. We exploit a recently published cor respondence between cubature formulae on the sphere and on the triangle. Sp ecifically, a fully symmetric cubature formula for the surface measure on t he unit sphere corresponds to a symmetric cubature formula for the triangle with weight function (u(1)u(2)u(3))(-1/2), where u(1), u(2), and u(3) are homogeneous coordinates.