T. Goda

activity

20132023

most citedConstruction of interlaced scrambled polynomial lattice rules of arbitrary high order

47 citations · 411 across the 42 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

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★ 4 cited

On the $L_{p}$ discrepancy of two-dimensional folded Hammersley point sets

Takashi Goda

We give an explicit construction of two-dimensional point sets whose $L_{p}$ discrepancy is of best possible order for all $1 \leq p \leq \infty$ . It is provided by folding Hammersley po…

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 $Z_{b}$ by means of the $b$ -adic tent transformation…

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

On the Lp​ discrepancy of two-dimensional folded Hammersley point sets

Digital nets with infinite digit expansions and construction of folded digital nets for quasi-Monte Carlo integration

On the $L_{p}$ discrepancy of two-dimensional folded Hammersley point sets