15 citations · 163 across the 28 of their papers we have counts for
Showing 2014 · math.NAShow all
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math.NA2014★ 7 cited
The Mean Square Quasi-Monte Carlo Error for Digitally Shifted Digital Nets
Takashi Goda, Ryuichi Ohori, Kosuke Suzuki +1
In this paper, we study randomized quasi-Monte Carlo (QMC) integration using digitally shifted digital nets. We express the mean square QMC error of the -th discrete approximati…
math.NA2014★ 12 cited
Digital nets with infinite digit expansions and construction of folded digital nets for quasi-Monte Carlo integration
Takashi Goda, Kosuke Suzuki, Takehito Yoshiki
In this paper we study quasi-Monte Carlo integration of smooth functions using digital nets. We fold digital nets over by means of the -adic tent transformation…
math.NA2014★ 11 cited
WAFOM on abelian groups for quasi-Monte Carlo point sets
Kosuke Suzuki
In this paper, we study quasi-Monte Carlo (QMC) rules for numerical integration. J. Dick proved a Koksma-Hlawka type inequality for -smooth integrands and gave an explicit const…