45 citations · 84 across the 39 of their papers we have counts for
46 papers
Worst-case -approximation of periodic functions using median lattice algorithms
Zexin Pan, Mou Cai, Josef Dick +2
We study the worst-case approximation of multivariate periodic functions from the weighted Korobov space with smoothness in the Lebesgue norm for…
A unified treatment of tractability for approximation problems defined on Hilbert spaces
Onyekachi Emenike, Fred J. Hickernell, Peter Kritzer
A large literature specifies conditions under which the information complexity for a sequence of numerical problems defined for dimensions grows at a moderate rate,…
Computable error bounds for quasi-Monte Carlo using points with non-negative local discrepancy
Michael Gnewuch, Peter Kritzer, Art B. Owen +1
Let be a completely monotone integrand as defined by Aistleitner and Dick (2015) and let points hav…
The fast reduced QMC matrix-vector product
Josef Dick, Adrian Ebert, Lukas Herrmann +2
We study the approximation of integrals , where is a matrix, by quasi-Monte Carlo (QMC) rules $N^{-1} \sum_{k=0}^{…
On a reduced digit-by-digit component-by-component construction of lattice point sets
Peter Kritzer, Onyekachi Osisiogu
In this paper, we study an efficient algorithm for constructing point sets underlying quasi-Monte Carlo integration rules for weighted Korobov classes. The algorithm presented is a…
A note on the CBC-DBD construction of lattice rules with general positive weights
Peter Kritzer
Lattice rules are among the most prominently studied quasi-Monte Carlo methods to approximate multivariate integrals. A rank- lattice rule to approximate an -dimensional inte…