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Mario Ullrich

Foundations of Computational Mathematics / Function values are enough for L2-approximation
2021 · Ullrich, Mario, Krieg, David · University Library Linz repository (Johannes Kepler Universitat Linz) · 87
A Sharp Upper Bound for Sampling Numbers in $L_2$
2022 · Matthieu Dolbeault, David Krieg, et al. · Applied and Computational Harmonic Analysis · 68
Function values are enough for L2-approximation: Part II
2021 · David Krieg, Mario Ullrich · Journal of Complexity · 62
The curse of dimensionality for numerical integration of smooth functions II
2013 · Aicke Hinrichs, Erich Novak, et al. · Journal of Complexity · 45
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The Role of Frolov's Cubature Formula for Functions with Bounded Mixed Derivative
2016 · Mario Ullrich, Tino Ullrich · SIAM Journal on Numerical Analysis · 42
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Change of Variable in Spaces of Mixed Smoothness and Numerical Integration of Multivariate Functions on the Unit Cube
2017 · Van Kien Nguyen, Mario Ullrich, et al. · Constructive Approximation · 38
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The curse of dimensionality for numerical integration on general domains
2018 · Aicke Hinrichs, Joscha Prochno, et al. · Journal of Complexity · 34
Random sections of ellipsoids and the power of random information
2021 · Aicke Hinrichs, David Krieg, et al. · Transactions of the American Mathematical Society · 33
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A Monte Carlo Method for Integration of Multivariate Smooth Functions
2017 · Mario Ullrich · SIAM Journal on Numerical Analysis · 33
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4. On the power of random information
2020 · Aicke Hinrichs, David Krieg, et al. · De Gruyter eBooks · 30
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Rapid mixing of Swendsen-Wang dynamics in two dimensions
2012 · Mario Ullrich · 29
An upper bound on the minimal dispersion
2017 · Mario Ullrich, Jan Vybíral · Journal of Complexity · 28
Swendsen--Wang Is Faster than Single-Bond Dynamics
2014 · Mario Ullrich · SIAM Journal on Discrete Mathematics · 28
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Comparison of Swendsen‐Wang and heat‐bath dynamics
2012 · Mario Ullrich · Random Structures and Algorithms · 28
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Reproducing kernels of Sobolev spaces on ℝd and applications to embedding constants and tractability
2018 · Erich Novak, Mario Ullrich, et al. · Analysis and Applications · 26
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Positivity of hit-and-run and related algorithms
2013 · Daniel Rudolf, Mario Ullrich · Electronic Communications in Probability · 26
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On a multi-dimensional Poissonian pair correlation concept and uniform distribution
2019 · Aicke Hinrichs, Lisa Kaltenböck, et al. · Monatshefte für Mathematik · 25
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Complexity of oscillatory integration for univariate Sobolev spaces
2014 · Erich Novak, Mario Ullrich, et al. · Journal of Complexity · 25
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A lower bound for the dispersion on the torus
2015 · Mario Ullrich · Mathematics and Computers in Simulation · 24
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Sampling recovery in 𝐿₂ and other norms
2025 · David Krieg, Kateryna Pozharska, et al. · Mathematics of Computation · 23
On the worst-case error of least squares algorithms for L2 -approximation with high probability
2020 · Mario Ullrich · Journal of Complexity · 23
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On “Upper Error Bounds for Quadrature Formulas on Function Classes” by K.K. Frolov
2016 · Mario Ullrich · Springer proceedings in mathematics & statistics · 23
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Lattice rules with random n achieve nearly the optimal O(n−α−1∕2) error independently of the dimension
2018 · Peter Kritzer, Frances Y. Kuo, et al. · Journal of Approximation Theory · 22
On weak tractability of the Clenshaw–Curtis Smolyak algorithm
2014 · Aicke Hinrichs, Erich Novak, et al. · Journal of Approximation Theory · 21
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Sampling projections in the uniform norm
2025 · David Krieg, Kateryna Pozharska, et al. · Journal of Mathematical Analysis and Applications · 16
Works count: 63
Citation count: 1,031
H-index: 22
I10-index: 36
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