138 citations · 788 across the 67 of their papers we have counts for
Showing 2017 · math.NAShow all
2 papers · 2 filters
math.NA2017
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…
math.NA2017★ 11 cited
Richardson extrapolation of polynomial lattice rules
Josef Dick, Takashi Goda, Takehito Yoshiki
We study multivariate numerical integration of smooth functions in weighted Sobolev spaces with dominating mixed smoothness defined over the -dimensional unit cube. We…