15 citations · 163 across the 28 of their papers we have counts for
3 papers · 1 filter
Digital net properties of a polynomial analogue of Frolov's construction
Josef Dick, Friedrich Pillichshammer, Kosuke Suzuki +2
Frolov's cubature formula on the unit hypercube has been considered important since it attains an optimal rate of convergence for various function spaces. Its integration nodes are…
Lattice rules in non-periodic subspaces of Sobolev spaces
Takashi Goda, Kosuke Suzuki, Takehito Yoshiki
We investigate quasi-Monte Carlo (QMC) integration over the -dimensional unit cube based on rank-1 lattice point sets in weighted non-periodic Sobolev spaces $\mathcal{H}(K_{α,\…
Quasi-Monte Carlo integration for twice differentiable functions over a triangle
Takashi Goda, Kosuke Suzuki, Takehito Yoshiki
We study quasi-Monte Carlo integration for twice differentiable functions defined over a triangle. We provide an explicit construction of infinite sequences of points including one…