J. Dick

activity

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

collaborators

Showing 2010Show all

3 papers · 1 filter

math.NA2010

Erratum to "Higher order scrambled digital nets achieve the optimal rate of the root mean square error for smooth integrands"

Josef Dick

This note corrects several statements and proof steps in J.~Dick, \emph{Annals of Statistics} \textbf{39} (2011), 1372--1398, DOI: 10.1214/11-AOS880, arXiv:1007.0842 v4. The princi…

math.NA2010

A Construction of Polynomial Lattice Rules with Small Gain Coefficients

Jan Baldeaux, Josef Dick

In this paper we construct polynomial lattice rules which have, in some sense, small gain coefficients using a component-by-component approach. The gain coefficients, as introduced…

math.NA2010

Quasi-Monte Carlo numerical integration on $R^{s}$ : digital nets and worst-case error

Josef Dick

Quasi-Monte Carlo rules are equal weight quadrature rules defined over the domain $[0, 1]^{s}$ . Here we introduce quasi-Monte Carlo type rules for numerical integration of functions d…

Erratum to "Higher order scrambled digital nets achieve the optimal rate of the root mean square error for smooth integrands"

A Construction of Polynomial Lattice Rules with Small Gain Coefficients

Quasi-Monte Carlo numerical integration on Rs: digital nets and worst-case error

Quasi-Monte Carlo numerical integration on $R^{s}$ : digital nets and worst-case error