Preprints - IAM Publications


	2021 Hwijae Son, Jin Woo Jang, Woo Jin Han and Hyung Ju Hwang Sobolev Training for the Neural Network Solutions of PDEs 2021 https://arxiv.org/abs/2101.08932

	2020 David Fajman, Gernot Heißel and Jin Woo Jang Averaging with a time-dependent perturbation parameter 2020 https://ui.adsabs.harvard.edu/abs/2020arXiv200612844F

	Maximillian Fels and Lisa B. Hartung Extremes of the 2d scale-inhomogeneous discrete Gaussian free field: Extremal process in the weakly correlated regime 2020 https://arxiv.org/abs/2002.00925

	Maximilian Fels and Lisa B. Hartung Extremes of the 2d scale-inhomogeneous discrete Gaussian free field: Convergence of the maximum in the regime of weak correlations 2020 https://arxiv.org/abs/1912.13184

	Fabian Hoppe and Ira Neitzel Optimal control of quasilinear parabolic PDEs with state constraints 2020 https://ins.uni-bonn.de/media/public/publication-media/INSPreprint2004.pdf

	Fabian Hoppe and Ira Neitzel A-posteriori reduced basis error-estimates for a semi-discrete in space quasilinear parabolic PDE 2020 https://ins.uni-bonn.de/media/public/publication-media/INSPreprint2005.pdf

	Jae Yong Lee, Jin Woo Jang and Hyung Ju Hwang The model reduction of the Vlasov-Poisson-Fokker-Planck system to the Poisson-Nernst-Planck system via the Deep Neural Network Approach 2020 https://ui.adsabs.harvard.edu/abs/2020arXiv200913280L

	2019 Alexander Effland, Erich Kobler, Anne Brandenburg, Teresa Klatzer, Leonie Neuhäuser, Michael Hölzel, Jennifer Landsberg, Thomas Pock and Martin Rumpf Joint reconstruction and classification of tumor cells and cell interactions in melanoma tissue sections with synthesized training data International Journal of Computer Assisted Radiology and Surgery, 14(4): 587--599 2019 https://dx.doi.org/10.1007/s11548-019-01919-z

	Fabian Hoppe and Ira Neitzel Convergence of the SQP Method for Quasilinear Parabolic Optimal Control Problems 2019 https://ins.uni-bonn.de/media/public/publication-media/INSPreprint1907.pdf

	2018 Anton Bovier and Lisa B. Hartung From $1$ to $6$: a finer analysis of perturbed branching Brownian motion 2018 https://arxiv.org/abs/1808.05445

	D. Dũng, M. Griebel, V. N. Huy and C. Rieger $\varepsilon$-dimension in infinite dimensional hyperbolic cross approximation and application to parametric elliptic PDEs Journal of Complexity, 46: 66--89 2018 10.1016/j.jco.2017.12.001

	Matthias Erbar, Martin Huesmann and Thomas Leblé The one-dimensional log-gas free energy has a unique minimiser arxiv e-print 1812.06929 2018 https://arxiv.org/abs/1812.06929

	A. Giunti, R. Höfer and J.J.L. Velázquez Homogenization for the Poisson equation in randomly perforated domains under minimal assumptions on the size of the holes 2018 https://arxiv.org/abs/1803.10214

	Arianna Giunti and Richard M. Höfer Homogenization for the Stokes equations in randomly perforated domains under almost minimal assumptions on the size of the holes arXiv e-prints: arXiv:1809.04491 2018 https://ui.adsabs.harvard.edu/abs/2018arXiv180904491G

	Michael Goldmann, Martin Huesmann and Felix Otto A large-scale regularity theory for the Monge-Ampere equation with rough data and application to the optimal matching problem arxiv e-print 1808.09250 2018 https://arxiv.org/abs/1808.09250

	M. Gubinelli and M. Hofmanová Global solutions to elliptic and parabolic $\Phi^4$ models in Euclidean space ArXiv e-prints 2018 https://arxiv.org/abs/1804.11253

	Massimiliano Gubinelli and Martina Hofmanová A PDE construction of the Euclidean $\Phi^4_3$ quantum field theory 2018 https://arxiv.org/abs/1810.01700

	Richard M. Höfer The inertialess limit of particle sedimentation modeled by the Vlasov-Stokes equations SIAM J. Math. Anal., 50(5): 5446--5476 2018 10.1137/18M1165554

	Richard M. Höfer Sedimentation of Inertialess Particles in Stokes Flows Communications in Mathematical Physics, 360(1): 55--101 2018 10.1007/s00220-018-3131-y Abstract: We investigate the sedimentation of a cloud of rigid, spherical particles of identical radii under gravity in a Stokes fluid. Both inertia and rotation of particles are neglected. We consider the homogenization limit of many small particles in the case of a dilute system in which interactions between particles are still important. In the relevant time scale, we rigorously prove convergence of the dynamics to the solution of a macroscopic equation. This macroscopic equation resembles the Stokes equations for a fluid of variable density subject to gravitation.

	Martin Huesmann and Florian Stebegg Monotonicity preserving transformations of MOT and SEP Stochastic Process. Appl., 128(4): 1114--1134 2018 10.1016/j.spa.2017.07.005

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