THE CONSTRUCTION OF 3-DIMENSIONAL INVARIANT CUBATURE FORMULAS

被引：2

作者：

BECKERS, M ^{[1
]}

HAEGEMANS, A ^{[1
]}

机构：

[1] KATHOLIEKE UNIV LEUVEN,DEPT COMP SCI,B-3001 HEVERLEE,BELGIUM

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1991年 / 35卷 / 1-3期

关键词：

NUMERICAL INTEGRATION; CUBATURE FORMULAS; INVARIANT POLYNOMIAL;

D O I：

10.1016/0377-0427(91)90200-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A method of constructing three-dimensional cubature formulae of high degree for three-dimensional regions is presented. The formulae possess full polyhedral symmetry. This means that every knot of the formula belongs to an orbit invariant with respect to the symmetries of the polyhedron and that all points of an orbit are knots of the formula with the same weight.

引用

页码：109 / 118

页数：10