| Current Publications | • Jentzen A, Kuckuck B, Müller-Gronbach T, Yaroslavtseva L Counterexamples to local Lipschitz and local Hölder continuity with respect to the initial values for additive noise driven SDEs with smooth drift coefficient functions with at most polynomially growing derivatives. Discrete Contin. Dyn. Syst. Ser. B Vol. tbd (early access version), 2021 online • Jentzen A, Kuckuck B, Neufeld A, von Wurstemberger P Strong error analysis for stochastic gradient descent optimization algorithms. IMA Journal of Numerical Analysis Vol. 41 (1), 2021, pp 455-492 online • Hutzenthaler M, Jentzen A, Kuckuck B, Padgett JL Strong $L^p$-error analysis of nonlinear Monte Carlo approximations for high-dimensional semilinear partial differential equations. arXiv Vol. 0, 2021 online • Beneventano P, Cheridito P, Graeber R, Jentzen A, Kuckuck B Deep neural network approximation theory for high-dimensional functions. arXiv Vol. 0, 2021 online • Jentzen A, Kuckuck B, Müller-Gronbach T, Yaroslavtseva L On the strong regularity of degenerate additive noise driven stochastic differential equations with respect to their initial values. Journal of Mathematical Analysis and Applications Vol. 502 (2), 2021, pp Paper No. 125240 online • Beck C, Hutzenthaler M, Jentzen A, Kuckuck B An overview on deep learning-based approximation methods for partial differential equations. Discrete Contin. Dyn. Syst. Ser. B Vol. 0, 2020 online • Beck C, Jentzen A, Kuckuck B Full error analysis for the training of deep neural networks. Infin. Dimens. Anal. Quantum Probab. Relat. Top. Vol. tbd (to appear), 2020 online • Kuckuck B, Rothe J Monotonicity, Duplication Monotonicity, and Pareto Optimality in the Scoring-Based Allocation of Indivisible Goods. , 2019, pp 173-189 online • Kuckuck B, Rothe J, Weißenfeld A Refugee allocation in the setting of hedonic games. , 2019, pp 65-80 online | bkuckuck@uni-muenster.de |
| Phone | +49 251 83-35128 |
| FAX | +49 251 83-32729 |
| Room | 120.003 |
| Secretary | Sekretariat Claudia Giesbert Frau Claudia Giesbert Telefon +49 251 83-33792 Fax +49 251 83-32729 Zimmer 120.002 |
| Address | Dr. Benno Kuckuck Angewandte Mathematik Münster: Institut für Analysis und Numerik Fachbereich Mathematik und Informatik der Universität Münster Orléans-Ring 10 48149 Münster |
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