45 citations · 84 across the 39 of their papers we have counts for
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math.NA2022
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…
math.NA2022
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…
math.NA2022
Tractability of approximation in the weighted Korobov space in the worst-case setting
Adrian Ebert, Peter Kritzer, Friedrich Pillichshammer
In this paper we consider -approximation, , of periodic functions from weighted Korobov spaces. In particular, we discuss tractability properties of such p…