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Ilja Kröker

Dr.
Ilja  Kröker

no picture so far
Telefon +49 711 685-65537
Raum 1.034
E-Mail
Adresse
Universität Stuttgart
Institut für Angewandte Analysis und Numerische Simulation
Allmandring 5b
D-70569  Stuttgart
Deutschland

Preprints

Barth, A. & Kröker, I.: Finite volume methods for hyperbolic partial differential equations with spatial noise, Springer International Publishing, 2016, submitted. Zeige BibTex

Publikationen

Bürger, R. & Kröker, I.: Cancès, Clément and Omnes, Pascal (Eds.), Hybrid Stochastic Galerkin Finite Volumes for the Diffusively Corrected Lighthill-Whitham-Richards Traffic Model, Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems: FVCA 8, Lille, France, June 2017, Springer International Publishing, 2017, 189-197. Zeige BibTex

Köppel, M.; Franzelin, F.; Kröker, I.; Oladyshkin, S.; Santin, G.; Wittwar, D.; Barth, A.; Haasdonk, B.; Nowak, W.; Pflüger, D. & Rohde, C.: Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario, University of Stuttgart, submitted to Comput. Geosci., 2017. Zeige BibTex Zeige Abstract

Köppel, M.; Kröker, I. & Rohde, C.: Intrusive Uncertainty Quantification for Hyperbolic-Elliptic Systems Governing Two-Phase Flow in Heterogeneous Porous Media, Comput. Geosci., 2017, 21, 807-832. Zeige BibTex

Barth, A.; Bürger, R.; Kröker, I. & Rohde, C.: Computational uncertainty quantification for a clarifier-thickener model with several random perturbations: A hybrid stochastic Galerkin approach, Computers & Chemical Engineering , 2016, 89, 11 - 26. Zeige BibTex

Kröker, I.; Nowak, W. & Rohde, C.: A stochastically and spatially adaptive parallel scheme for uncertain and nonlinear two-phase flow problems, Comput. Geosci., Springer International Publishing, 2015, 19, 269-284. Zeige BibTex

Bürger, R.; Kröker, I. & Rohde, C.: A hybrid stochastic Galerkin method for uncertainty quantification applied to a conservation law modelling a clarifier-thickener unit, ZAMM Z. Angew. Math. Mech., 2014, 94, 793-817. Zeige BibTex

Köppel, M.; Kröker, I. & Rohde, C.: Fuhrmann, Jürgen and Ohlberger, Mario and Rohde, Christian (Eds.), Stochastic Modeling for Heterogeneous Two-Phase Flow, Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects, Springer International Publishing, 2014, 77, 353-361. Zeige BibTex

Kröker, I.: Stochastic models for nonlinear convection-dominated flows , Universität Stuttgart, 2013. Zeige BibTex

Kröker, I. & Rohde, C.: Finite volume schemes for hyperbolic balance laws with multiplicative noise, Appl. Numer. Math., 2012, 62, 441-456. Zeige BibTex

Bürger, R.; Kröker, I. & Rohde, C.: Uncertainty quantification for a clarifier-thickener model with random feed, Finite volumes for complex applications. VI. Problems & perspectives. Volume 1, 2, Springer, 2011, 4, 195-203. Zeige BibTex

Kröker, I.: Finite volume methods for conservation laws with noise, Finite volumes for complex applications V, ISTE, London, 2008, 527-534. Zeige BibTex


Lehre

  • WS 2017-2018: Ingenieursmathematik C3 / Seminar: Quantifizierung der Unsicherheiten an FAU-Erlangen
  • WS 2016: Masterseminar: Monte-Carlo-Methoden ILIAS-Kursseite
  • WS 2015-2016 Seminar: Monte-Carlo Simulation
  • SoSE 2014 Numerische Lineare Algebra ILIAS-Kursseite
  • WS 2013-2014 Lineare Strukturen (SimTech): ILIAS-Kursseite
  • SoSE 2013 Numerische Lineare Algebra ILIAS-Kursseite

Talks

12.09.2017 A stochastic galerkin method for hyperbolic elliptic systems governing two-phase flow in porous media,

Lecture presented at SIAM Geosciences 2017, Erlangen.

12.06.2017 Hybrid stochastic Galerkin finite volumes for the diffusively corrected Lighthill-Whitham-Richards traffic model,

Lecture presented at Finite Volumes for Complex Applications VIII, Juni 12-18 2017, Université Lille 1.

29.11.2016 Nonlinear conservation laws with spatial noise,

Lecture presented at Seminario de Análisis Numérico y Modelación Matemática, November 29th, 2016 in Concepción, Chile.

01.08.2016 Finite volume methods for hyperbolic partial differential equations with spatial noise,

Lecture pesented at 16. International Conference on Hyperbolic Problems: Theory, Numerics, Applications (Hyp2016), August 1-5, 2016 in Aachen.

30.06.2016 Nonlinear hyperbolic partial differential equations with spatial noise,

Lecture presented at 8th Stuttgart-Tübingen  Seminar “Numerik”, June, 30th, 2016.

05.04.2016 An adaptive hybrid stochastic Galerkin method for uncertainty quantification for hyperbolic problems with several random variables,

Lecture presented at SIAM Conference on Uncertainty Quantification (UQ16) , April 5-8, 2016 in Lausanne.

12.01.2016 A hybrid stochastic Galerkin method for uncertainty quantification applied to clarifier-thickener model with several random perturbations,

Lecture presented at WONAPDE 2016, Fifth Chilean Workshop on Numerical Analysis of Partial Differential Equations, Concepción, January 11-15, 2016

10.01.2013 A Hybrid Stochastic Galerkin Method for a Clarifier-Thickener Model with Random Feed,

Lecture presented at WONAPDE 2013, Fourth Chilean Workshop on Numerical Analysis of Partial Differential Equations, Concepción, January 14-18, 2013

20.06.2012 Multi-Resolution Methods for Quantifying Uncertainties in Geophysical Applications,

Lecture pesented at 14. International Conference on Hyperbolic Problems: Theory, Numerics, Applications, Padova, June 25-29, 2012

06.10.2011 Polynomial Chaos for a Clarifier-Thickener Model with Random Feed,

Poster presented at International SimTech Symposium "Partial Differential Equations: Theory, Applications, Simulations", Stuttgart, October 6th and 7th, 2011

10.06.2011 Uncertainty quantification for a clarifier-thickener model with random feed,

Lecture presented at Finite Volumes for Complex Applications VI, Prague, June 6-10, 2011

14.06.2011-17.06.2011 Numerical methods for stochastic two-phase flow equations,

Poster presented at  SimTech2011 International Conference of Simulation Technology,
Stuttgart, June, 14-17, 2011

20.04.2011 Uncertainty quantification for a clarifier-thickener model with random feed,

Lecture presented at First CI²MA Focus Seminar,  Concepción, April, 20th, 2011

18.02.2011 Numerical methods for conservation laws with multiplicative noise,

Poster presented at  SAMHYP 2011, February 18-19, 2011 ETH Zurich, Switzerland

21.01.2010 Numerical methods for conservation laws with multiplicative noise,

Lecture presented at WONAPDE 2010, Third Chilean Workshop on Numerical Analysis of Partial Differential Equations, January 11 - 15, 2010, Concepción

05.10.2009-07.10.2009 Numerical methods for stochastic two-phase flow equations.,

Poster presented at  International Conference on Non-linearities and Upscaling in Porous Media,  Stuttgart, 05.10.2009-07.10.2009

01.04.2009 Finite volume methods for conservation laws with noise,

Lecture presented at the Spring School Analytical and Numerical Aspects of Evolution Equations,  March 30- April 3, 2009 at TU Berlin

06.09.2009 Conservation laws with multiplicative noise,

Lecture presented at  9th Hirschegg Workshop on Conservation Laws, 06.-12.09.2009

11.06.2008 Finite volume methods for conservation laws with noise.,

Lecture presented at 5th International Symposium on Finite Volumes for Complex Applications, June 08-13, 2008 Aussois, France