INTERMEDIATE RANK LATTICE RULES FOR MULTIDIMENSIONAL INTEGRATION

被引：7

作者：

JOE, S ^{[1
]}

DISNEY, SAR ^{[1
]}

机构：

[1] UNIV NEW S WALES,SCH MATH,SYDNEY,NSW,AUSTRALIA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1993年 / 30卷 / 02期

关键词：

LATTICE RULES; MULTIDIMENSIONAL INTEGRATION;

D O I：

10.1137/0730027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Every lattice rule in s dimensions may be characterised by an integer m, lying between 1 and s inclusive, called the rank or index of the rule and a set of m positive integers called the invariants. Earlier work has shown that, in a certain precise sense, lattice rules of rank s are better than the commonly used rank-1 rules. Here this earlier work is extended by showing that a similar result holds for certain lattice rules of intermediate rank m < s.

引用

页码：569 / 582

页数：14

共 17 条

[1] RANDOMIZATION OF NUMBER THEORETIC METHODS FOR MULTIPLE INTEGRATION [J].