科研之友
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摘要
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.
- 出版日期2010-4
