Dr.

Ilja Kröker

Research Assistant
Institute for Modelling Hydraulic and Environmental Systems
LS3 / SimTech

Contact

+49 711 685-60745

Pfaffenwaldring 5a
70569 Stuttgart
Germany
Room: 1.15

  1. 2017

    1. R. Bürger and I. Kröker, “Hybrid Stochastic Galerkin Finite Volumes for the Diffusively Corrected  Lighthill-Whitham-Richards Traffic Model,” in Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic  and Parabolic Problems: FVCA 8, Lille, France, June 2017, C. Cancès and P. Omnes, Eds. Cham: Springer International Publishing, 2017, pp. 189--197.
    2. M. Köppel, I. Kröker, and C. Rohde, “Intrusive Uncertainty Quantification for Hyperbolic-Elliptic Systems  Governing Two-Phase Flow in Heterogeneous Porous Media,” Comput. Geosci., vol. 21, pp. 807–832, 2017.
  2. 2016

    1. A. Barth and I. Kröker, “Finite volume methods for hyperbolic partial differential equations  with spatial noise,” in Springer Proceedings in Mathematics and Statistics, vol. submitted, Springer International Publishing, 2016.
  3. 2015

    1. I. Kröker, W. Nowak, and C. Rohde, “A stochastically and spatially adaptive parallel scheme for uncertain  and nonlinear two-phase flow problems,” Comput. Geosci., vol. 19, no. 2, pp. 269--284, 2015.
  4. 2013

    1. I. Kröker, “Stochastic models for nonlinear convection-dominated flows,” PhD dissertation, Universität Stuttgart, 2013.
  5. 2011

    1. R. Bürger, I. Kröker, and C. Rohde, “Uncertainty quantification for a clarifier-thickener model with random  feed,” in Finite volumes for complex applications. VI. Problems & perspectives. Volume 1, 2, vol. 4, Springer, 2011, pp. 195--203.
  6. 2008

    1. I. Kröker, “Finite volume methods for conservation laws with noise,” in Finite volumes for complex applications V, ISTE, London, 2008, pp. 527--534.

At Friedrich- Alexander-University Erlangen Nürnberg:

HS 2017

Lecturer

Mathematik für Ingenieure C3 (Informatik)

Seminar: Quantifizirung der Unsicherheiten

At the University of Stuttgart:

HS 2018

Teaching Assistant

Höhere Mathematik I

HS 2015

 

Seminar: Monte Carlo Simulation

FS 2014

Teaching Assistant

Numerische Lineare Algebra

HS 2013

Teaching Assistant

Lineare Strukturen (SimTech)

FS 2013

Teaching Assistant

Numerische Lineare Algebra

HS 2008

Teaching Assistant

Theorie und Numerik für die Gleichungen der Strömungsmechanik

FS 2008

Teaching Assistant

Höhere Mathematik IV

HS 2007

Teaching Assistant

Höhere Mathematik III

At Cooperative State University Stuttgart (DHBW Stuttgart):

FS 2008

Lecturer

Numerik II

 

Supervision of highly qualified personnel

  • M. Schmidgall: Quantifizierung von Unsicherheiten mit Hilfe von Multi-Resolution- und Multi-Wavelet-Diskretisierung, 2016

since 10/2013

Postdoctoral researcher at the institute of Applied Analysis and Numerical Simulation, University of Stuttgart, Germany

10/2017 - 03/2018

Visiting professor for Applied Mathematics at Friedrich-Alexander-University Erlangen-Nürnberg, Germany

11/2016 - 12/2016

Visiting researcher at Centro de Investigatión en Ingeneria Matematika, Universidad de Conceptión, Chile

04/2011 - 05/2011

Visiting researcher at Centro de Investigatión en Ingeneria Matematika, Universidad de Conceptión, Chile

10/2007 - 10/2013

Ph.D. at the department of Mathematics and Physics / excellence cluster for Simulation Technology, University of Stuttgart, Germany

Thesis: "Stochastic models for nonlinear convection-dominated flows"
Supervisor: Prof. Dr. Christian Rohde, University of Stuttgart, Germany

10/2001 - 10/2007

Diploma degree in mathematics at the University Bielefeld, Germany

Thesis: "Finite Volumen Verfahren für eine stochastische Bilanzgleichung"
Supervisor: Prof. Dr. Chrstian Rohde, University Bielefeld, Germany

  • Uncertainty quantification for strongly degenerate parabolic equations modelling sedimentation
    WONAPDE 2019, Sixth Chilean Workshop on Numerical Analysis of Partial Differential Equations, Concepción, Chile, January 21 - 25, 2019
  • A stochastic Galerkin method for hyperbolic elliptic systems governing two-phase flow in porous media
    SIAM Geosciences, Erlangen, September 11-14, 2017
  • Hybrid stochastic Galerkin finite volumes for the diffusively corrected Lighthill-Whitham-Richards traffic model
    Finite Volumes for Complex Applicatios VIII, Université Lille 1, Juni 12-18, 2017
  • Nonlinear conservation laws with spatial noise
    Seminario de Análisis Numérico y Modelación Matemática, Concepción, Chile, Novermber 29th, 2016
  • Finitevolume methods for hyperbolic partial differential equations with spatial noise
    16. International Conference on Hyperbolic Problems: Theory, Numerics, Application (Hyp2016), Aachen, August 1-5, 2016
  • Nonlinear hyperbolic partial differential equations with spatial noise
    8th Stuttgart-Tübingen Seminar "Numerik", June 30th, 2016
  • An adaptive hybrid stochastic Galerkin method for uncertainty quantification for hyperbolic problems with several random variables
    SIAM Conference on Uncertainty Quantification (UQ16), Lausanne, April 5-8, 2016
  • A hybrid stochastic Galerkin method for uncertainty quantification applied to clarifier-thickener model with several random perturbations
    WONAPDE 2016, Fifth Chilean Workshop on Numerical Analysis of Partial Differential Equations, Concepción, January 11-15, 2016
  • A hybrid stochastic Galerkin Method for a Clarifier-Thickener Model with Random Feed
    WONAPDE 2013, Fourth Chilean Workshop on Nmerical Analysis of Partial Differential Equations, Concepción, January 14-18, 2013
  • Multi-Resolution Methods for Quantifying Uncertainties in Geophysical Applications14. International Conference on Hyperbolic Problems: Theory, Numerics, Applications, Padova, June 25-29, 2012
  • Polynomial Chaos for a Clarifier-Thickener Model with Random Feed
    poster presentation, International SimTech Symposium "Partial Differential Equations: Theory, Applications, Simulations", Stuttgart, October 6-7, 2011
  • Uncertainty quantification for a clarifier-thickener model with random feed
    Finite Volumes for Complex Applications VI, Prague, June 6-10, 2011
  • Numerical methods for stochastic two-phase flow equations
    poster presentation, SimTech2011 International Conference of Simulation Technology, Stuttgart, June 14-17, 2011
  • Uncertainty quantification for a clarifier-thickener model with random feed
    First CI2MA Focus Seminar, Concepción, April 20, 2011
  • Numerical methods for conservation laws with multiplicative noise
    poster presentation, SAMHYP 2011, ETH Zürich, Switzerland, February 18-19, 2011
  • Numerical methods for conservation laws with multiplicative noise
    WONAPDE 2010, Third Chilean Workshop on Numerical Analysis of Partial Differential Equations, Concepción, January 11-15, 2010
  • Numerical methods for stochastic two-phase flow equations
    Poster presentation, International Conference on Non-linearities and Upscaling in Porous Media, Stuttgart, October 5-7, 2009
  • Conservation laws with multiplicative noise
    9th Hirschegg Workshop on Conservation Laws, Decembr 6-9, 2009
  • Finite volume methods for conservation laws with noise
    5th International Symposium on Finite Volumes for Complex Applications, Aussois, France, June 8-13, 2008
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