Minimal cubature formulae of trigonometric degree

被引：27
|
作者：
Cools, R [1 ]
Sloan, IH [1 ]
机构：
[1] UNIV NEW S WALES,SCH MATH,SYDNEY,NSW 2033,AUSTRALIA
来源：
MATHEMATICS OF COMPUTATION | 1996年 / 65卷 / 216期
关键词：
cubature; trigonometric degree; lattice rules;
D O I：
10.1090/S0025-5718-96-00767-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we construct minimal cubature formulae of trigonometric degree: we obtain explicit formulae for low dimensions of arbitrary degree and for low degrees in all dimensions. A useful tool is a closed form expression for the reproducing kernels in two dimensions.
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页码：1583 / 1600
页数：18
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