CUBATURE FORMULAS ON THE SPHERE THAT ARE INVARIANT UNDER THE TRANSFORMATIONS OF THE DIHEDRAL GROUPS OF ROTATIONS WITH INVERSION

被引：2

作者：

Popov, A. S. ^{[1
]}

机构：

[1] Inst Computat Math & Math Geophys SB RAS, 6 Akad Lavrenteva Ave, Novosibirsk 630090, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2021年 / 18卷

关键词：

numerical integration; invariant cubature formulas; invariant polynomials; dihedral group of rotations; RESPECT;

D O I：

10.33048/semi.2021.18.050

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An algorithm for finding the best cubature formulas (in a sense) on the sphere that are invariant under the transformations of the dihedral groups of rotations with inversion is described. This algorithm is applied for finding parameters of all the best cubature formulas of this symmetry type up to the 35th order of accuracy.

引用

页码：703 / 709

页数：7

共 29 条

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