Ryuichi Ohori

most citedThe Mean Square Quasi-Monte Carlo Error for Digitally Shifted Digital Nets

7 citations · 9 across the 3 of their papers we have counts for

collaborators

3 papers

math.NA2016

Approximation of Quasi-Monte Carlo worst case error in weighted spaces of infinitely times smooth functions

Matsumoto Makoto, Ryuichi Ohori, Takehito Yoshiki

In this paper, we consider Quasi-Monte Carlo (QMC) worst case error of weighted smooth function classes in $C^{\infty} [0, 1]^{s}$ by a digital net over $F_{2}$ . We show that the r…

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 $n$ -th discrete approximati…

math.NA2014★ 2 cited

Walsh Figure of Merit for Digital Nets: An Easy Measure for Higher Order Convergent QMC

Makoto Matsumoto, Ryuichi Ohori

Fix an integer $s$ . Let $f : [0, 1)^{s} \to R$ be an integrable function. Let $P \subset [0, 1]^{s}$ be a finite point set. Quasi-Monte Carlo integration of $f$ by $P$ is the averag…