Lukas Herrmann
Lukas Herrmann
Johann Radon Institute for Computational and Applied Mathematics, RICAM
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Quasi--Monte Carlo integration for affine-parametric, elliptic PDEs: Local supports and product weights
RN Gantner, L Herrmann, C Schwab
SIAM Journal on Numerical Analysis 56 (1), 111-135, 2018
QMC integration for lognormal-parametric, elliptic PDEs: local supports and product weights
L Herrmann, C Schwab
Numerische Mathematik 141 (1), 63-102, 2019
Multilevel quasi-Monte Carlo integration with product weights for elliptic PDEs with lognormal coefficients
L Herrmann, C Schwab
ESAIM: Mathematical Modelling and Numerical Analysis 53 (5), 1507-1552, 2019
Multilevel QMC with product weights for affine-parametric, elliptic PDEs
RN Gantner, L Herrmann, C Schwab
Contemporary Computational Mathematics-A Celebration of the 80th Birthday of …, 2018
Numerical analysis of lognormal diffusions on the sphere
L Herrmann, A Lang, C Schwab
Stochastics and Partial Differential Equations: Analysis and Computations 6 …, 2018
Deep Neural Network Expression of Posterior Expectations in Bayesian PDE Inversion
L Herrmann, C Schwab, J Zech
Inverse Problems, 2020
Strong convergence analysis of iterative solvers for random operator equations
L Herrmann
Calcolo 56 (4), 46, 2019
Multilevel quasi-Monte Carlo uncertainty quantification for advection-diffusion-reaction
L Herrmann, C Schwab
International Conference on Monte Carlo and Quasi-Monte Carlo Methods in …, 2018
QMC algorithms with product weights for lognormal-parametric, elliptic PDEs
L Herrmann, C Schwab
International Conference on Monte Carlo and Quasi-Monte Carlo Methods in …, 2016
Quasi-Monte Carlo integration in uncertainty quantification for PDEs with log-Gaussian random field inputs
L Herrmann
ETH Zurich, 2019
Multilevel approximation of Gaussian random fields: Fast simulation
L Herrmann, K Kirchner, C Schwab
Mathematical Models and Methods in Applied Sciences 30 (1), 181-223, 2020
Quasi-Monte Carlo Bayesian estimation under Besov priors in elliptic inverse problems
L Herrmann, M Keller, C Schwab
SAM Research Report 2019, 2019
Uncertainty quantification for spectral fractional diffusion: Sparsity analysis of parametric solutions
L Herrmann, C Schwab, J Zech
SIAM/ASA Journal on Uncertainty Quantification 7 (3), 913-947, 2019
Isotropic random fields on the sphere–stochastic heat equation and regularity of random elliptic PDEs
L Herrmann
Master's thesis, ETH Zürich, 2013
Deep neural network approximation for high-dimensional elliptic PDEs with boundary conditions
P Grohs, L Herrmann
arXiv preprint arXiv:2007.05384, 2020
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