Equidistribution Properties of Generalized Nets and Sequences

被引：7
|
作者：
Dick, Josef [1 ]
Baldeaux, Jan [1 ]
机构：
[1] Univ New S Wales, Sch Math & Stat, Dept Math & Stat, Sydney, NSW 2052, Australia
来源：
MONTE CARLO AND QUASI-MONTE CARLO METHODS 2008 | 2009年
关键词：
CONSTRUCTIONS; DISCREPANCY; INTEGRATION; SPACES; RULES;
D O I：
10.1007/978-3-642-04107-5_19
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Generalized digital nets and sequences have been introduced for the numerical integration of smooth functions using quasi-Monte Carlo rules. In this paper we study geometrical properties of such nets and sequences. The definition of these nets and sequences does not depend on linear algebra over finite fields, it only requires that the point set or sequence satisfies certain distributional properties. Generalized digital nets and sequences appear as special cases. We prove some propagation rules and give bounds on the quality parameter t.
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页码：305 / 322
页数：18
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