Publications

Ilja Kröker, Elisabeth Nißler, Sergey Oladyshkin, Wolfgang Nowak, und Claus Haslauer. Data-driven surrogate-based Bayesian model calibration for predicting vadose zone temperatures in drinking water supply pipes. Geophys. Res. Abstr., (25, EGU2024-7820)April 2024. [PUMA: 2 HaslauerClaus IWSABT:ls3 IWSAUTHOR: IWSAUTHOR:KroekerIlja IWSAUTHOR:NowakWolfgang IWSAUTHOR:OladyshkinSergey IWSMONTH:04 IWSSUBTYPE:inproceedings IWSTYPEDE:Konferenzbeiträge IWSTYPEEN:contribution_to_edited_volumes IWSTYPENR:3 IWSYEAR:2024]

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

Raimund Bürger, Gerardo Chowell, Ilja Kröker, und 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 IWSABT:ls3 IWSAUTHOR:KroekerIlja IWSMONTH:09 IWSSUBTYPE:article IWSTYPEDE:Publikationen IWSTYPEEN:articles IWSTYPENR:1 IWSYEAR:2023 from:sscheurer]

Sergey Oladyshkin, Timothy Praditia, Ilja Kroeker, Farid Mohammadi, Wolfgang Nowak, und 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: 1 IWSABT:ls3 IWSAUTHOR:KroekerIlja IWSAUTHOR:NowakWolfgang IWSAUTHOR:OladyshkinSergey IWSAUTHOR:PraditiaTimothy IWSMONTH:09 IWSSUBTYPE:article IWSTYPEDE:Publikationen IWSTYPEEN:articles IWSTYPENR:1 IWSYEAR:2023 from:sscheurer peerreviewed pn5]

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

Rebecca Kohlhaas, Ilja Kröker, Sergey Oladyshkin, und 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: 1 IWSABT:ls3 IWSAUTHOR:KroekerIlja IWSAUTHOR:NowakWolfgang IWSAUTHOR:OladyshkinSergey IWSMONTH:04 IWSSUBTYPE:article IWSTYPEDE:Publikationen IWSTYPEEN:articles IWSTYPENR:1 IWSYEAR:2023 from:timothypraditia peerreviewed]

Paul-Christian Bürkner, Ilja Kröker, Sergey Oladyshkin, und 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 IWSABT:ls3 IWSAUTHOR:KroekerIlja IWSAUTHOR:NowakWolfgang IWSAUTHOR:OladyshkinSergey IWSMONTH:05 IWSSUBTYPE:article IWSTYPEDE:Publikationen IWSTYPEEN:articles IWSTYPENR:1 IWSYEAR:2023 from:timothypraditia]

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

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

S. Oladyshkin, F. Beckers, I. Kroeker, F. Mohammadi, A. Heredia, M. Noack, B. Flemisch, S. Wieprecht, und W. Nowak. Uncertainty quantification using Bayesian arbitrary polynomial chaos for computationally demanding environmental modelling: conventional, sparse and adaptive strategy. Computational Methods in Water Resources (CMWR), 2020. [PUMA: IWSABT:ls3 IWSAUTHOR:KroekerIlja IWSAUTHOR:NowakWolfgang IWSAUTHOR:OladyshkinSergey IWSMONTH:12 IWSSUBTYPE:inproceedings IWSTYPEDE:Konferenzbeiträge IWSTYPEEN:contribution_to_edited_volumes IWSTYPENR:3 IWSYEAR:2020 from:timothypraditia]

Raimund Bürger, und 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 IWSAUTHOR:KroekerIlja IWSTYPENR:1 from:timothypraditia IWSTYPEDE:Publikationen IWSABT:ls3 IWSYEAR:2019 IWSSUBTYPE:article IWSTYPEEN:articles] URL

Markus Köppel, Ilja Kröker, und Christian Rohde. Stochastic Modeling for Heterogeneous Two-Phase Flow. In Jürgen Fuhrmann, Mario Ohlberger, und Christian Rohde (Hrsg.), Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects, (77):353--361, Springer International Publishing, 2014. [PUMA: IWSABT:ls3 IWSAUTHOR:KroekerIlja IWSMONTH:12 IWSSUBTYPE:inbook IWSTYPEDE:Buchauszug IWSTYPEEN:incollections IWSTYPENR:10 IWSYEAR:2014 from:timothypraditia] URL

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

Raimund Bürger, und Ilja Kröker. Hybrid Stochastic Galerkin Finite Volumes for the Diffusively Corrected Lighthill-Whitham-Richards Traffic Model. In Clément Cancès, und Pascal Omnes (Hrsg.), Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems: FVCA 8, Lille, France, June 2017, 189--197, Springer International Publishing, Cham, 2017. [PUMA: IWSMONTH:12 IWSAUTHOR:KroekerIlja IWSSUBTYPE:inbook from:timothypraditia IWSABT:ls3 IWSTYPEDE:Buchauszug IWSTYPENR:10 IWSYEAR:2017 IWSTYPEEN:incollections] URL

Andrea Barth, und Ilja Kröker. Finite Volume Methods for Hyperbolic Partial Differential Equations with Spatial Noise. In Christian Klingenberg, und Michael Westdickenberg (Hrsg.), Theory, Numerics and Applications of Hyperbolic Problems I, 125--135, Springer International Publishing, Cham, 2018. [PUMA: IWSMONTH:12 IWSSUBTYPE:inproceedings IWSTYPEEN:contribution_to_edited_volumes IWSTYPEDE:Konferenzbeiträge IWSTYPENR:3 IWSAUTHOR:KroekerIlja from:timothypraditia IWSABT:ls3 IWSYEAR:2018]

M. Köppel, I. Kröker, und 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 IWSAUTHOR:KroekerIlja IWSTYPENR:1 from:timothypraditia IWSTYPEDE:Publikationen IWSABT:ls3 IWSSUBTYPE:article IWSYEAR:2017 IWSTYPEEN:articles]

Raimund Bürger, Ilja Kröker, und Christian Rohde. Uncertainty quantification for a clarifier-thickener model with random feed. Finite volumes for complex applications. VI. Problems & perspectives. Volume 1, 2, (4):195--203, Springer, 2011. [PUMA: IWSMONTH:12 IWSYEAR:2011 IWSAUTHOR:KroekerIlja IWSSUBTYPE:inbook from:timothypraditia IWSABT:ls3 IWSTYPEDE:Buchauszug IWSTYPENR:10 IWSTYPEEN:incollections] URL

Andrea Barth, Raimund Bürger, Ilja Kröker, und 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 IWSAUTHOR:KroekerIlja IWSTYPENR:1 from:timothypraditia IWSTYPEDE:Publikationen IWSABT:ls3 IWSSUBTYPE:article IWSTYPEEN:articles IWSYEAR:2016] URL

Ilja Kröker. Finite volume methods for conservation laws with noise. Finite volumes for complex applications V, 527--534, ISTE, London, 2008. [PUMA: IWSMONTH:12 IWSAUTHOR:KroekerIlja IWSSUBTYPE:inbook from:timothypraditia IWSABT:ls3 IWSTYPEDE:Buchauszug IWSTYPENR:10 IWSYEAR:2008 IWSTYPEEN:incollections]

Raimund Bürger, Ilja Kröker, und 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 IWSMONTH:12 IWSYEAR:2012 IWSAUTHOR:KroekerIlja IWSTYPENR:1 from:timothypraditia IWSTYPEDE:Publikationen IWSABT:ls3 IWSSUBTYPE:article IWSTYPEEN:articles] URL