CUBATURE FORMULAS 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 | 1995年 / 35卷 / 03期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A method of constructing cubatures which are invariant with respect to the tetrahedral group T or the tetrahedral group with inversion T* is proposed. Two new cubatures of group T (orders of accuracy 8 and 12)and two new cubatures of the group T*(orders 11 and 15) are constructed. The parameters of the cubatures are given to 16 significant figures.

引用

页码：369 / 374

页数：6

共 50 条

[1] Cubature formulae of high orders of accuracy for a sphere which are invariant with respect to the tetrahedral group
Popov, AS
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1996, 36 (04) : 417 - 421
[2] CUBATURE FORMULAS ON A SPHERE INVARIANT UNDER THE TETRAHEDRAL GROUP WITH INVERSION
Popov, A. S.
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2014, 11 : 372 - 379
[3] CUBATURE FORMULAS FOR THE SPHERE INVARIANT WITH RESPECT TO TRANSFORMATIONS OF THE GROUP OF A REGULAR SIMPLEX
MYSOVSKIKH, IP
VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA MATEMATIKA MEKHANIKA ASTRONOMIYA, 1985, (04): : 20 - 26
[4] CUBATURE FORMULAS ON A SPHERE INVARIANT WITH RESPECT TO ANY FINITE GROUP OF ROTATIONS
SOBOLEV, SL
DOKLADY AKADEMII NAUK SSSR, 1962, 146 (02): : 310 - &
[5] Cubature formulas on a sphere invariant under the icosahedral rotation group
A. S. Popov
Numerical Analysis and Applications, 2008, 1 (4) : 355 - 361
[6] Cubature Formulas on a Sphere Invariant under the Icosahedral Rotation Group
Popov, A. S.
NUMERICAL ANALYSIS AND APPLICATIONS, 2008, 1 (04) : 355 - 361
[7] Cubature formulas on a sphere that are invariant with respect to a group of dihedron rotations with inversion D6h
Popov A.S.
Numerical Analysis and Applications, 2013, 6 (1) : 49 - 53
[8] Cubature Formulas Invariant under the Icosahedral Group of Rotations with Inversion on a Sphere
Popov A.S.
Numerical Analysis and Applications, 2017, 10 (4) : 339 - 346
[9] Search for the Best Cubature Formulas on the Sphere Invariant under the Icosahedral Rotation Group
A. S. Popov
Numerical Analysis and Applications, 2023, 16 : 348 - 358
[10] Search for the Best Cubature Formulas on the Sphere Invariant under the Icosahedral Rotation Group
Popov, A. S.
NUMERICAL ANALYSIS AND APPLICATIONS, 2023, 16 (04) : 348 - 358

← 1 2 3 4 5 →