Duality theory and propagation rules for generalized digital nets
Duality theory and propagation rules for generalized digital nets
复制标题
广义数字网络的对偶理论和传播规则
DOI：
10.1090/s0025-5718-09-02315-1
复制
发表时间：
2009
期刊：
影响因子：
--
通讯作者：
P. Kritzer
中科院分区：
文献类型：
--
作者：
J. Dick;P. Kritzer
数字网络在拟蒙特卡罗算法中用于逼近单位立方体上的高维积分。因此，人们希望有明确的高质量数字网络建设。在本文中，我们考虑了所谓的数字网络的传播规则，它描述了如何从现有的数字网络中获得不同大小的新数字网络。通过这种方式，通常可以生成比以前已知的质量更高的数字网络。本文将已有的经典数字网络传播规律推广到Dick提出的广义数字网络。
Digital nets are used in quasi-Monte Carlo algorithms for approximating high dimensional integrals over the unit cube. Hence one wants to have explicit constructions of digital nets of high quality. In this paper we consider the so-called propagation rules for digital nets, which state how one can obtain a new digital net of different size from existing digital nets. This way one often can generate digital nets of higher quality than were previously known. Here we generalize existing propagation rules for classical digital nets to generalized digital nets as introduced by Dick.