Cubature rules of prescribed merit

被引:4
|
作者
Lyness, JN [1 ]
Sloan, IH [1 ]
机构
[1] UNIV NEW S WALES,SCH MATH,SYDNEY,NSW 2033,AUSTRALIA
关键词
cubature; merit; multidimensional quadrature;
D O I
10.1137/S0036142994267485
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We introduce a criterion for the evaluation of multidimensional quadrature, or cubature, rules for the hypercube: this is the merit of a rule which is closely related to its trigonometric degree and which reduces to the Zaremba figure of merit in the case of a lattice rule. We derive a family of rules Q(k)(s) having dimension s and merit 2(k). These rules seem to be competitive with lattice rules with respect to the merit that can be achieved with a given number of abscissas.
引用
收藏
页码:586 / 602
页数:17
相关论文
共 50 条