all

2025

Kaarnioja, Vesa (2025) Explicit solutions of Genz test integrals. Applied Mathematics Letters, 163 . ISSN 08939659

2024

Guth, Philipp A. and Kaarnioja, Vesa (2024) Application of Dimension Truncation Error Analysis to High-Dimensional Function Approximation in Uncertainty Quantification. Monte Carlo and Quasi-Monte Carlo Methods 2022, 460 . pp. 297-312. ISSN 978-3-031-59761-9

Guth, Philipp A. and Kaarnioja, Vesa (2024) Generalized Dimension Truncation Error Analysis for High-Dimensional Numerical Integration: Lognormal Setting and Beyond. SIAM Journal on Numerical Analysis, 62 (2). pp. 872-608892.

Guth, Philipp A. and Kaarnioja, Vesa and Kuo, Frances Y. and Schillings, Claudia and Sloan, Ian H. (2024) Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration. Numerische Mathematik, 156 . pp. 565-608.

2023

Gelß, P. and Issagali, A. and Kornhuber, R. (2023) Fredholm integral equations for function approximation and the training of neural networks. arXiv . (Submitted)

Klebanov, Ilja and Sullivan, TJ. (2023) A 'periodic table' of modes and maximum a posteriori estimators. arXiv preprint arXiv:2306.16278 . (Submitted)

2021

Ayanbayev, Birzhan and Klebanov, Ilja and Lie, Han Cheng and Sullivan, Tim J. (2021) Γ-convergence of Onsager–Machlup functionals: I. With applications to maximum a posteriori estimation in Bayesian inverse problems. Inverse Problems, 38 (2).

2020

Klebanov, Ilja and Schuster, Ingmar and Sullivan, Tim J. (2020) A Rigorous Theory of Conditional Mean Embeddings. SIAM Journal on Mathematics of Data Science, 2 (3). pp. 583-606.

Rams, Mona and Conrad, T. O. F. (2020) Dictionary Learning for transcriptomics data reveals type-specific gene modules in a multi-class setting. Information Technology, 62 (3). ISSN 2196-7032

2018

Klebanov, Ilja (2018) Adaptive Convolutions. arXiv preprint arXiv:1805.00703 . (Submitted)

2016

Klebanov, Ilja (2016) Approximation of PDEs with Underlying Continuity Equations. Technische Universität München . (Submitted)

Kornhuber, R. and Yserentant, H. (2016) Numerical Homogenization of Elliptic Multiscale Problems by Subspace Decomposition. Multiscale Model. Simul., 14 (3). pp. 1017-1036. ISSN print: 1540-3459; online: 1540-3467

2015

Berninger, H. and Kornhuber, R. and Sander, O. (2015) A multidomain discretization of the Richards equation in layered soil. Computational Geosciences, 19 (1). pp. 213-232. ISSN 1420-0597

2011

Mischau, A. and Mehlmann, S. and Wöllmann, T. (2011) Auf dem Weg zu genderkompetenten LehrerInnen im Unterrichtsfach Mathematik. Journal Netzwerk Frauen- und Geschlechterforschung NRW, 27 . pp. 29-39. ISSN 1617-2493

2008

Thöns, Ch. (2008) Parallelizing Multigrid Solvers for Contact Problems on IBM’s Cell Processor. Masters thesis, Freie Universität Berlin.