This article is cited in 3 papers

New cubature formulae invariant under the octahedral group of rotations for a sphere

A. S. Popov

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences

Abstract: In this paper, new cubature formulae of Gaussian type invariant under the octahedral group of rotations for a sphere are constructed. The parameters of the cubature formulae of the 12th, 13th, 14th, 16th, 18th, 20th, 21st, 22nd, 24th, and 25th orders of accuracy are given to 16 significant digits.

UDC: 519.644.7

Received: 26.09.2000
Revised: 24.01.2001