138 citations · 788 across the 67 of their papers we have counts for
Showing 2015 · math.NAShow all
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math.NA2015
Digital inversive vectors can achieve strong polynomial tractability for the weighted star discrepancy and for multivariate integration
Josef Dick, Domingo Gomez-Perez, Friedrich Pillichshammer +1
We study high-dimensional numerical integration in the worst-case setting. The subject of tractability is concerned with the dependence of the worst-case integration error on the d…
math.NA2015
On a projection-corrected component-by-component construction
Josef Dick, Peter Kritzer
The component-by-component construction is the standard method of finding good lattice rules or polynomial lattice rules for numerical integration. Several authors have reported th…
math.NA2015
Fast QMC matrix-vector multiplication
Josef Dick, Frances Y. Kuo, Quoc T. Le Gia +1
Quasi-Monte Carlo (QMC) rules can be used to approximate integrals of the form $\int_{[0,1]^s} f(\boldsymbol{y} A) \,\mathrm{d} \boldsy…