Invariant cubature formulae for spheres and balls by combinatorial methods

Authors
Citation
S. Heo et Y. Xu, Invariant cubature formulae for spheres and balls by combinatorial methods, SIAM J NUM, 38(2), 2000, pp. 626-638
Citations number
9
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN journal
00361429 → ACNP
Volume
38
Issue
2
Year of publication
2000
Pages
626 - 638
Database
ISI
SICI code
0036-1429(20000810)38:2<626:ICFFSA>2.0.ZU;2-8
Abstract
Invariant cubature formulae for a class of weight functions on the simplex T-d are derived using combinatorial methods, extending the formulae in [Gru ndmann and Moller, SIAM J. Numer Anal., 15 (1978), pp. 282-290] for the uni t weight function on T-d. These formulae are used to derive cubature formul ae on the surface of the sphere S-d and on the unit ball B-d using connecti ons between cubature formulae on T-d, B-d and S-d.