Preprints - IAM Publications


	2018 Michael Griebel, Christian Rieger and Peter Zaspel Kernel-based stochastic collocation for the random two-phase Navier-Stokes equations 2018 https://ins.uni-bonn.de/media/public/publication-media/INSPreprint1813.pdf

	Massimiliano Gubinelli, Herbert Koch and Tadahiro Oh Renormalization of the two-dimensional stochastic nonlinear wave equations Transactions of the American Mathematical Society 2018 10.1090/tran/7452

	M. Gubinelli, B. E. Ugurcan and I. Zachhuber Semilinear evolution equations for the Anderson Hamiltonian in two and three dimensions ArXiv e-prints 2018 https://arxiv.org/abs/1807.06825

	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

	Massimiliano Gubinelli, Herbert Koch and Tadahiro Oh Paracontrolled approach to the three-dimensional stochastic nonlinear wave equation with quadratic nonlinearity 2018 http://arxiv.org/abs/1811.07808

	Massimiliano Gubinelli and Nicolas Perkowski The infinitesimal generator of the stochastic Burgers equation 2018 http://arxiv.org/abs/1810.12014

	2017 B. Bohn and M. Griebel Error estimates for multivariate regression on discretized function spaces SIAM Journal on Numerical Analysis, 55(4): 1843--1866 2017 10.1137/15M1013973

	B. Bohn, M. Griebel and C. Rieger A representer theorem for deep kernel learning 2017 http://wissrech.ins.uni-bonn.de/research/pub/bohn/INSPreprint_concatRegr.pdf

	Andrea Braides, Sergio Conti and Adriana Garroni Density of polyhedral partitions Calc. Var. Partial Differential Equations, 56(2): Art. 28, 10 2017 10.1007/s00526-017-1108-x

	Sergio Conti, Adriana Garroni and Stefan Müller Homogenization of vector-valued partition problems and dislocation cell structures in the plane Boll. Unione Mat. Ital., 10(1): 3--17 2017 10.1007/s40574-016-0083-z

	Francesco Di Plinio, Shaoming Guo, Christoph Thiele and Pavel Zorin-Kranich Square functions for bi-Lipschitz maps and directional operators arXiv e-prints: arXiv:1706.07111 2017 https://ui.adsabs.harvard.edu/abs/2017arXiv170607111D

	P.L. Ferrari, P. Ghosal and P. Nejjar Limit law of a second class particle in TASEP with non-random initial condition preprint: arXiv:1710.02323 2017 https://arxiv.org/abs/1710.02323 Abstract: We consider the totally asymmetric simple exclusion process (TASEP) with non-random initial condition having density $\rho$ on $\mathbb{Z}_-$ and $\lambda$ on $\mathbb{Z}_+$, and a second class particle initially at the origin. For $\rho<\lambda$, there is a shock and the second class particle moves with speed $1-\lambda-\rho$. For large time $t$, we show that the position of the second class particle fluctuates on a $t^{1/3}$ scale and determine its limiting law. We also obtain the limiting distribution of the number of steps made by the second class particle until time $t$.

	M. Griebel and C. Rieger Reproducing kernel Hilbert spaces for parametric partial differential equations SIAM/ASA J. Uncertainty Quantification, 5: 111-137 2017 10.1137/15M1026870

	2016 B. Bohn, J. Garcke and M. Griebel A sparse grid based method for generative dimensionality reduction of high-dimensional data Journal of Computational Physics, 309: 1--17 2016 https://www.sciencedirect.com/science/article/pii/S0021999115008529

	Sergio Conti, Adriana Garroni and Stefan Müller Dislocation microstructures and strain-gradient plasticity with one active slip plane J. Mech. Phys. Solids, 93: 240-251 2016 10.1016/j.jmps.2015.12.008

	Patrick Gérard and Herbert Koch The cubic Szegő flow at low regularity Séminaire Laurent SchwartzâÉquations aux dérivées partielles et applications. Année, 2017 2016 http://slsedp.cedram.org/item?id=SLSEDP_2016-2017____A14_0

	M. Griebel and J. Oettershagen On tensor product approximation of analytic functions Journal of Approximation Theory, 207: 348--379 2016 http://wissrech.ins.uni-bonn.de/research/pub/oettershagen/INSPreprint1512.pdf

	M. Griebel and P. Oswald Schwarz Iterative Methods: Infinite Space Splittings Constructive Approximation, 44(1): 121--139 2016 http://wissrech.ins.uni-bonn.de/research/pub/griebel/GreedyRandomSchwarzInf.pdf

	2015 Peter Bella, Michael Goldman and Barbara Zwicknagl Study of Island Formation in Epitaxially Strained Films on Unbounded Domains Arch. for Ration. Mech. and Anal., 218(1): 163-217 2015 http://dx.doi.org/10.1007/s00205-015-0858-x

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