Mathias Sonnleitner

activity

20202022

most citedThe power of random information for numerical approximation and integration

2 citations · 2 across the 3 of their papers we have counts for

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math.NA2022★ 2 cited

The power of random information for numerical approximation and integration

Mathias Sonnleitner

This thesis investigates the quality of randomly collected data by employing a framework built on information-based complexity, a field related to the numerical analysis of abstrac…

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.NA2020

On the relation of the spectral test to isotropic discrepancy and $L_{q}$ -approximation in Sobolev spaces

Mathias Sonnleitner, Friedrich Pillichshammer

This paper is a follow-up to the recent paper "A note on isotropic discrepancy and spectral test of lattice point sets" [J. Complexity, 58:101441, 2020]. We show that the isotropic…

The power of random information for numerical approximation and integration

Recovery of Sobolev functions restricted to iid sampling

On the relation of the spectral test to isotropic discrepancy and Lq​-approximation in Sobolev spaces

On the relation of the spectral test to isotropic discrepancy and $L_{q}$ -approximation in Sobolev spaces