Publications

Raimund Bürger, Gerardo Chowell, Ilja Kröker, and Leidy Yissedt Lara-Díaz. A computational approach to identifiability analysis for a model of the propagation and control of COVID-19 in Chile. Journal of Biological Dynamics, (17)1:2256774, Taylor & Francis, 2023. [PUMA: 1 IWSYEAR:2023 from:sscheurer IWSTYPENR:1 IWSAUTHOR:KroekerIlja IWSMONTH:09 IWSTYPEDE:Publikationen IWSABT:ls3 IWSSUBTYPE:article IWSTYPEEN:articles]

Raimund Bürger, Ilja Kröker, and Christian Rohde. A hybrid stochastic Galerkin method for uncertainty quantification applied to a conservation law modelling a clarifier-thickener unit. ZAMM Z. Angew. Math. Mech., (94)10:793-817, 2014. [PUMA: 1 IWSYEAR:2012 IWSMONTH:12 IWSTYPENR:1 from:timothypraditia IWSAUTHOR:KroekerIlja IWSTYPEDE:Publikationen IWSABT:ls3 IWSSUBTYPE:article IWSTYPEEN:articles] URL

I. Kröker, W. Nowak, and C. Rohde. A stochastically and spatially adaptive parallel scheme for uncertain and non-linear two-phase flow problems. Computational Geosciences, (19):269-284, 2014. [PUMA: 1 IWSAUTHOR:NowakWolfgang IWSMONTH:12 IWSTYPENR:1 from:timothypraditia IWSAUTHOR:KroekerIlja IWSTYPEDE:Publikationen from:jannikhaas IWSABT:ls3 IWSSUBTYPE:article IWSTYPEEN:articles IWSYEAR:2014]

Ilja Kröker, Tim Brünnette, Nils Wildt, Maria Fernanda Morales Oreamuno, Rebecca Kohlhaas, Sergey Oladyshkin, and Wolfgang Nowak. Bayesian Active Learning for Regularized Multi-Resolution Arbitrary Polynomial Chaos using Information Theory.. International Journal for Uncertainty Quantification, 2024 (submitted). [PUMA: IWSAUTHOR:BruennetteTim IWSAUTHOR:WildtNils IWSYEAR:2024 IWSMONTH:12 IWSAUTHOR:OladyshkinSergey IWSTYPENR:1 IWSSUBTYPE:article 1 IWSAUTHOR:KohlhaasRebecca IWSAUTHOR:NowakWolfgang IWSAUTHOR:KroekerIlja IWSTYPEDE:Publikationen IWSAUTHOR:MoralesOreamunoMariaFernanda IWSABT:ls3 IWSTYPEEN:articles]

Sergey Oladyshkin, Farid Mohammadi, Ilja Kröker, and Wolfgang Nowak. Bayesian3 active learning for Gaussian process emulator using information theory. Entropy, (22)0890:1-27, Multidisciplinary Digital Publishing Institute, 2020. [PUMA: IWSAUTHOR:NowakWolfgang IWSMONTH:12 IWSYEAR:2020 IWSAUTHOR:OladyshkinSergey IWSTYPENR:1 from:timothypraditia IWSAUTHOR:KroekerIlja IWSTYPEDE:Publikationen IWSABT:ls3 IWSSUBTYPE:article IWSTYPEEN:articles]

M. Köppel, F. Franzelin, I. Kröker, S. Oladyshkin, G. Santin, D. Wittwar, A. Barth, B. Haasdonk, W. Nowak, D. Pflüger, and C. Rohde. Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario. Computational Geosciences, (23)2:339-354, 2019. [PUMA: IWSMONTH:12 IWSAUTHOR:OladyshkinSergey IWSTYPENR:1 from:timothypraditia from:jannikhaas IWSYEAR:2019 IWSSUBTYPE:article 1 IWSAUTHOR:NowakWolfgang IWSAUTHOR:KroekerIlja IWSTYPEDE:Publikationen IWSABT:ls3 IWSTYPEEN:articles]

Andrea Barth, Raimund Bürger, Ilja Kröker, and Christian Rohde. Computational uncertainty quantification for a clarifier-thickener model with several random perturbations: A hybrid stochastic Galerkin approach. Computers & Chemical Engineering, (89):11 -- 26, 2016. [PUMA: IWSMONTH:12 IWSTYPENR:1 from:timothypraditia IWSAUTHOR:KroekerIlja IWSTYPEDE:Publikationen IWSABT:ls3 IWSSUBTYPE:article IWSTYPEEN:articles IWSYEAR:2016] URL

Raimund Bürger, and Ilja Kröker. Computational uncertainty quantification for some strongly degenerate parabolic convection–diffusion equations. Journal of Computational and Applied Mathematics, (348):490 - 508, 2019. [PUMA: IWSMONTH:12 IWSTYPENR:1 from:timothypraditia IWSAUTHOR:KroekerIlja IWSTYPEDE:Publikationen IWSABT:ls3 IWSYEAR:2019 IWSSUBTYPE:article IWSTYPEEN:articles] URL

Ilja Kröker, and Christian Rohde. Finite volume schemes for hyperbolic balance laws with multiplicative noise. Appl. Numer. Math., (62)4:441--456, 2012. [PUMA: IWSYEAR:2012 IWSMONTH:12 IWSTYPENR:1 from:timothypraditia IWSAUTHOR:KroekerIlja IWSTYPEDE:Publikationen IWSABT:ls3 IWSSUBTYPE:article IWSTYPEEN:articles] URL

Rebecca Kohlhaas, Ilja Kröker, Sergey Oladyshkin, and Wolfgang Nowak. Gaussian active learning on multi-resolution arbitrary polynomial chaos emulator: concept for bias correction, assessment of surrogate reliability and its application to the carbon dioxide benchmark. Computational Geosciences, (27)3:1-21, 2023. [PUMA: IWSYEAR:2023 IWSAUTHOR:OladyshkinSergey IWSTYPENR:1 from:timothypraditia IWSSUBTYPE:article peerreviewed 1 IWSAUTHOR:NowakWolfgang IWSAUTHOR:KroekerIlja IWSTYPEDE:Publikationen IWSABT:ls3 IWSMONTH:04 IWSTYPEEN:articles]

Ilja Kröker, Sergey Oladyshkin, and Iryna Rybak. Global sensitivity analysis using multi-resolution polynomial chaos expansion for coupled Stokes-Darcy flow problems. Computational Geosciences, 2023. [PUMA: 1 IWSYEAR:2023 IWSAUTHOR:OladyshkinSergey IWSTYPENR:1 from:timothypraditia IWSAUTHOR:KroekerIlja IWSTYPEDE:Publikationen IWSABT:ls3 IWSMONTH:07 IWSSUBTYPE:article IWSTYPEEN:articles] URL

M. Köppel, I. Kröker, and C. Rohde. Intrusive uncertainty quantification for hyperbolic-elliptic systems governing two-phase flow in heterogeneous porous media. Comput. Geosci., (21)4:807--832, 2017. [PUMA: IWSMONTH:12 IWSTYPENR:1 from:timothypraditia IWSAUTHOR:KroekerIlja IWSTYPEDE:Publikationen IWSABT:ls3 IWSYEAR:2017 IWSSUBTYPE:article IWSTYPEEN:articles]

Ana González-Nicolás, Deborah Bilgic, Ilja Kröker, Assem Mayar, Luca Trevisan, Holger Steeb, Silke Wieprecht, and Wolfgang Nowak. Optimal exposure time in Gamma-Ray Attenuation experiments for monitoring time-dependent densities. Transport in Porous Media, (143):463-496, 2022. [PUMA: IWSMONTH:12 IWSYEAR:2022 IWSAUTHOR:González-NicolásAna IWSTYPENR:1 from:timothypraditia IWSSUBTYPE:article 1 IWSAUTHOR:NowakWolfgang IWSAUTHOR:KroekerIlja IWSTYPEDE:Publikationen IWSABT:ls3 IWSTYPEEN:articles]

Sergey Oladyshkin, Timothy Praditia, Ilja Kroeker, Farid Mohammadi, Wolfgang Nowak, and Sebastian Otte. The Deep Arbitrary Polynomial Chaos Neural Network or how Deep Artificial Neural Networks could benefit from Data-Driven Homogeneous Chaos Theory. Neural Networks, (166):85-104, Elsevier, 2023. [PUMA: IWSYEAR:2023 IWSAUTHOR:OladyshkinSergey IWSTYPENR:1 IWSSUBTYPE:article peerreviewed 1 IWSAUTHOR:NowakWolfgang from:sscheurer IWSAUTHOR:KroekerIlja pn5 IWSAUTHOR:PraditiaTimothy IWSMONTH:09 IWSTYPEDE:Publikationen IWSABT:ls3 IWSTYPEEN:articles]

Paul-Christian Bürkner, Ilja Kröker, Sergey Oladyshkin, and Wolfgang Nowak. The sparse Polynomial Chaos expansion: a fully Bayesian approach with joint priors on the coefficients and global selection of terms. Journal of Computational Physics, 112210, 2023. [PUMA: 1 IWSAUTHOR:NowakWolfgang IWSYEAR:2023 IWSAUTHOR:OladyshkinSergey IWSTYPENR:1 from:timothypraditia IWSAUTHOR:KroekerIlja IWSTYPEDE:Publikationen IWSABT:ls3 IWSSUBTYPE:article IWSMONTH:05 IWSTYPEEN:articles]