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20082026
most citedWalsh spaces containing smooth functions and quasi-Monte Carlo rules of arbitrary high order

138 citations · 788 across the 67 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

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…