M. Gnewuch

activity

20082023

most citedCalculation of Discrepancy Measures and Applications

58 citations · 246 across the 21 of their papers we have counts for

collaborators

Showing 2023Show all

4 papers · 1 filter

math.NA2023

Computable error bounds for quasi-Monte Carlo using points with non-negative local discrepancy

Michael Gnewuch, Peter Kritzer, Art B. Owen +1

Let $f : [0, 1]^{d} \to R$ be a completely monotone integrand as defined by Aistleitner and Dick (2015) and let points $x_{0}, \dots, x_{n - 1} \in [0, 1]^{d}$ hav…

math.NT2023

New Bounds for the Extreme and the Star Discrepancy of Double-Infinite Matrices

Jasmin Fiedler, Michael Gnewuch, Christian Weiß

According to Aistleitner and Weimar, there exist two-dimensional (double) infinite matrices whose star-discrepancy $D_{N}^{* s}$ of the first $N$ rows and $s$ columns, interpreted as…

math.NA2023★ 5 cited

Infinite-dimensional integration and $L^{2}$ -approximation on Hermite spaces

Michael Gnewuch, Aicke Hinrichs, Klaus Ritter +1

We study integration and $L^{2}$ -approximation of functions of infinitely many variables in the following setting: The underlying function space is the countably infinite tensor prod…

math.NA2023

Infinite-Variate $L^{2}$ -Approximation with Nested Subspace Sampling

Kumar Harsha, Michael Gnewuch, Marcin Wnuk

We consider $L^{2}$ -approximation on weighted reproducing kernel Hilbert spaces of functions depending on infinitely many variables. We focus on unrestricted linear information, admi…

Computable error bounds for quasi-Monte Carlo using points with non-negative local discrepancy

New Bounds for the Extreme and the Star Discrepancy of Double-Infinite Matrices

Infinite-dimensional integration and L2-approximation on Hermite spaces

Infinite-Variate L2-Approximation with Nested Subspace Sampling

Infinite-dimensional integration and $L^{2}$ -approximation on Hermite spaces

Infinite-Variate $L^{2}$ -Approximation with Nested Subspace Sampling