David Krieg

activity

20142023

most citedA sharp upper bound for sampling numbers in

L_{2}

53 citations · 129 across the 16 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.NA2021★ 2 cited

Function recovery on manifolds using scattered data

David Krieg, Mathias Sonnleitner

We consider the task of recovering a Sobolev function on a connected compact Riemannian manifold $M$ when given a sample on a finite point set. We prove that the quality of the sam…

math.NA2021

Recovery of Sobolev functions restricted to iid sampling

David Krieg, Erich Novak, Mathias Sonnleitner

We study $L_{q}$ -approximation and integration for functions from the Sobolev space $W_{p}^{s} (Ω)$ and compare optimal randomized (Monte Carlo) algorithms with algorithms that can only u…

math.NA2021

Lower bounds for integration and recovery in $L_{2}$

Aicke Hinrichs, David Krieg, Erich Novak +1

Function values are, in some sense, "almost as good" as general linear information for $L_{2}$ -approximation (optimal recovery, data assimilation) of functions from a reproducing ker…

Function recovery on manifolds using scattered data

Recovery of Sobolev functions restricted to iid sampling

Lower bounds for integration and recovery in L2​

Lower bounds for integration and recovery in $L_{2}$