Cubature formulae of high orders of accuracy for a sphere which are invariant with respect to the tetrahedral group

被引：0

作者：

Popov, AS

机构：

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 1996年 / 36卷 / 04期

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暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A method of constructing very effective cubature formulae for a sphere which are invariant with respect to the rotational group of a tetrahedron is described in detail. The method is used to construct formulae of 16th, 18th, 20th and 22nd orders of accuracy. The parameters of these cubatures are given to 16 significant figures. Copyright (C) 1996 Elsevier Science Ltd.

引用

页码：417 / 421

页数：5

共 21 条

[1] CUBATURE FORMULAS FOR A SPHERE WHICH ARE INVARIANT WITH RESPECT TO THE TETRAHEDRAL GROUP
POPOV, AS
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1995, 35 (03) : 369 - 374
[2] CUBATURE FORMULAS ON A SPHERE INVARIANT UNDER THE TETRAHEDRAL GROUP WITH INVERSION
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[4] CUBATURE FORMULAS ON A SPHERE INVARIANT WITH RESPECT TO ANY FINITE GROUP OF ROTATIONS
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[10] Quadrature formulae for a sphere in R-4, which are invariant to the symmetry group of a 24-hedron
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RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 1997, 12 (03) : 249 - 254

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