15 citations · 163 across the 28 of their papers we have counts for
5 papers · 2 filters
Enumeration of the Chebyshev-Frolov lattice points in axis-parallel boxes
Kosuke Suzuki, Takehito Yoshiki
For a positive integer , the -dimensional Chebyshev-Frolov lattice is the -lattice in generated by the Vandermonde matrix associated to the roots o…
Lattice based integration algorithms: Kronecker sequences and rank-1 lattices
Josef Dick, Friedrich Pillichshammer, Kosuke Suzuki +2
We prove upper bounds on the order of convergence of lattice based algorithms for numerical integration in function spaces of dominating mixed smoothness on the unit cube with homo…
Optimal order quadrature error bounds for infinite-dimensional higher order digital sequences
Takashi Goda, Kosuke Suzuki, Takehito Yoshiki
Quasi-Monte Carlo (QMC) quadrature rules using higher order digital nets and sequences have been shown to achieve the almost optimal rate of convergence of the worst-case error in…
Construction of interlaced polynomial lattice rules for infinitely differentiable functions
Josef Dick, Takashi Goda, Kosuke Suzuki +1
We study multivariate integration over the -dimensional unit cube in a weighted space of infinitely differentiable functions. It is known from a recent result by Suzuki that the…
An explicit construction of optimal order quasi-Monte Carlo rules for smooth integrands
Takashi Goda, Kosuke Suzuki, Takehito Yoshiki
In a recent paper by the authors, it is shown that there exists a quasi-Monte Carlo (QMC) rule which achieves the best possible rate of convergence for numerical integration in a r…