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Ilja  Kröker
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Year
Finite volume schemes for hyperbolic balance laws with multiplicative noise
I Kröker, C Rohde
Applied Numerical Mathematics 62 (4), 441-456, 2012
552012
Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario
M Köppel, F Franzelin, I Kröker, S Oladyshkin, G Santin, D Wittwar, ...
Computational Geosciences 23, 339-354, 2019
332019
A hybrid stochastic Galerkin method for uncertainty quantification applied to a conservation law modelling a clarifier‐thickener unit
R Bürger, I Kröker, C Rohde
ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte …, 2014
312014
A stochastically and spatially adaptive parallel scheme for uncertain and nonlinear two-phase flow problems
I Kröker, W Nowak, C Rohde
Computational Geosciences 19, 269-284, 2015
232015
Bayesian3 Active Learning for the Gaussian Process Emulator Using Information Theory
S Oladyshkin, F Mohammadi, I Kroeker, W Nowak
Entropy 22 (8), 890, 2020
182020
Computational uncertainty quantification for a clarifier-thickener model with several random perturbations: A hybrid stochastic Galerkin approach
A Barth, R Bürger, I Kroeker, C Rohde
Computers & Chemical Engineering 89, 11-26, 2016
182016
Intrusive uncertainty quantification for hyperbolic-elliptic systems governing two-phase flow in heterogeneous porous media
M Köppel, I Kröker, C Rohde
Computational Geosciences 21, 807-832, 2017
102017
Uncertainty Quantification for a Clarifier–Thickener Model with Random Feed
R Bürger, I Kröker, C Rohde
Finite Volumes for Complex Applications VI Problems & Perspectives: FVCA 6 …, 2011
102011
Arbitrary multi-resolution multi-wavelet-based polynomial chaos expansion for data-driven uncertainty quantification
I Kröker, S Oladyshkin
Reliability Engineering & System Safety 222, 108376, 2022
92022
Stochastic modeling for heterogeneous two-phase flow
M Köppel, I Kröker, C Rohde
Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects …, 2014
92014
A fully Bayesian sparse polynomial chaos expansion approach with joint priors on the coefficients and global selection of terms
PC Bürkner, I Kröker, S Oladyshkin, W Nowak
Journal of Computational Physics 488, 112210, 2023
72023
Computational uncertainty quantification for some strongly degenerate parabolic convection–diffusion equations
R Bürger, I Kröker
Journal of Computational and Applied Mathematics 348, 490-508, 2019
72019
Finite volume methods for conservation laws with noise
I Kröker
Finite volumes for complex applications V, 527-534, 2008
62008
Datasets and executables of data-driven uncertainty quantification benchmark in carbon dioxide storage
M Köppel, F Franzelin, I Kröker, S Oladyshkin, D Wittwar, G Santin, ...
Zenodo, 2017
52017
Hybrid stochastic Galerkin finite volumes for the diffusively corrected Lighthill-Whitham-Richards traffic model
R Bürger, I Kröker
Finite Volumes for Complex Applications VIII-Hyperbolic, Elliptic and …, 2017
52017
Gaussian active learning on multi-resolution arbitrary polynomial chaos emulator: concept for bias correction, assessment of surrogate reliability and its application to the …
R Kohlhaas, I Kröker, S Oladyshkin, W Nowak
Computational Geosciences 27 (3), 369-389, 2023
22023
The sparse Polynomial Chaos expansion: a fully Bayesian approach with joint priors on the coefficients and global selection of terms. arXiv preprint, 2022
PC Bürkner, I Kröker, S Oladyshkin, W Nowak
URL http://arxiv. org/abs/2204.06043, 0
2
A computational approach to identifiability analysis for a model of the propagation and control of COVID-19 in Chile
R Bürger, G Chowell, I Kröker, LY Lara-Díaz
Journal of Biological Dynamics 17 (1), 2256774, 2023
12023
The deep arbitrary polynomial chaos neural network or how Deep Artificial Neural Networks could benefit from data-driven homogeneous chaos theory
S Oladyshkin, T Praditia, I Kroeker, F Mohammadi, W Nowak, S Otte
Neural Networks 166, Pages 85-104, 2023
12023
The sparse Polynomial Chaos expansion: A fully Bayesian approach with joint priors on the coefficients and global selection of terms
PC Bürkner, I Kröker, S Oladyshkin, W Nowak
MR4594126, 2022
12022
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