P. Kritzer

most citedFrom van der Corput to modern constructions of sequences for quasi-Monte Carlo rules

45 citations · 46 across the 3 of their papers we have counts for

collaborators

3 papers

math.NA2019★ 1 cited

On alternative quantization for doubly weighted approximation and integration over unbounded domains

P. Kritzer, F. Pillichshammer, L. Plaskota +1

It is known that for a $ρ$ -weighted $L_{q}$ -approximation of single variable functions $f$ with the $r$ th derivatives in a $ψ$ -weighted $L_{p}$ space, the minimal error of approximatio…

math.CO2015

Mixed orthogonal arrays, $(u, m, e, s)$ -nets, and $(u, e, s)$ -sequences

Peter Kritzer, Harald Niederreiter

We study the classes of $(u, m, e, s)$ -nets and $(u, e, s)$ -sequences, which are generalizations of $(u, m, s)$ -nets and $(u, s)$ -sequences, respectively. We show equivalence r…

math.NT2015★ 45 cited

From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules

Henri Faure, Peter Kritzer, Friedrich Pillichshammer

In 1935 J.G. van der Corput introduced a sequence which has excellent uniform distribution properties modulo 1. This sequence is based on a very simple digital construction scheme…

On alternative quantization for doubly weighted approximation and integration over unbounded domains

Mixed orthogonal arrays, (u,m,e,s)-nets, and (u,e,s)-sequences

From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules

Mixed orthogonal arrays, $(u, m, e, s)$ -nets, and $(u, e, s)$ -sequences