Dr. rer. nat. Stephan Knapp

Contact

Research Assistant
B6, Room C310
stknapp(at)mail.uni-mannheim.de

Tel.: +49 (0)621 181-2427
Fax: +49 (0)621 181-3577

Office hour: by appointment

Teaching

  • HWS 2019: Anwendungen Skalarer Erhaltungsgleichungen (Lecture)
  • FSS 2019: Numerik partieller Differentialgleichungen (Lecture)
  • HWS 2018: Anwendungen Skalarer Erhaltungsgleichungen (Lecture and Tutorial)
  • FSS   2018: Numerik partieller Differentialgleichungen (Tutorial)
  • HWS 2017: Numerik gewöhnlicher Differentialgleichungen (Tutorial)
  • FSS   2017: Numerik partieller Differentialgleichungen (Tutorial)
  • FSS   2017: Analysis für Wirtschaftsinformatiker (Tutorial)
  • HWS 2016: Numerik gewöhnlicher Differentialgleichungen (Tutorial)
  • FSS   2016: Numerik partieller Differentialgleichungen (Tutorial)
  • FSS   2016: Numerik (Tutorial)
  • FSS   2016: Modellierung und Simulation (Seminar)
  • HWS 2015: Numerik gewöhnlicher Differentialgleichungen (Tutorial)
  • FSS   2015: Analysis für Wirtschaftsinformatiker (Tutorial)
  • HWS 2014: Einführung in die Statistik (Tutorial)
  • HWS 2014: Mathematische Modellierung (Seminar)

Research Interests

  • Stochastic production network models
  • Stochastic simulation algorithms and numerical schemes for PDEs
  • Microscopic-macroscopic limits
  • Parameter estimation

Resume

Since 08/18Research Assistant and Postdoc at the School of Business Informatics and Mathematics, University of Mannheim
07/18Doctoral degree (Dr. rer. nat.)
09/14-07/18Research Assistant at the School of Business Informatics and Mathematics, University of Mannheim
08/14M.Sc. in Business Mathematics, University of Mannheim
08/12B.Sc. in Business Mathematics, University of Mannheim
07/09Graduated from Hochwaldgymnasium in Wadern (Abitur)


Publications

Journal Publications

  1. V. Baumgärtner, S. Göttlich, S. Knapp, Feedback Stabilization for a coupled PDE-ODE Production System, accepted to Mathematical Control and Related Fields (MCRF), August 2019.
  2. S. Göttlich, S. Knapp - Load-dependent machine failures in production network models, SIAM J. Appl. Math. (SIAP), Vol. 79(4), 1197-1217, July 2019.
  3. L. Chen, S. Göttlich, S. Knapp - Modeling of a diffusion with aggregation: rigorous derivation and numerical simulation - ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 52(2), July 2018.
  4. S. Göttlich, S. Knapp, P. Schillen - A pedestrian flow model with stochastic velocities: microscopic and macroscopic approaches -  Kinetic and Related Models (KRM) Vol. 11(6), pp. 1333-1358, 2018.
  5. S. Göttlich, S. Knapp - Semi-Markovian Capacities in Production Network Models, Discrete and Continuous Dynamical Systems Series B (DCDS-B), Vol. 22(9), pp. 3235-3258, 2017.

Proceedings

  1. S. Knapp - Piecewise deterministic Markov processes driven by scalar conservation laws, Proceedings, January 2019, accepted.
  2. S. Knapp, S. Göttlich - A production model with history based random machine failures, Proceedings, October 2018, accepted.

Submitted

  1. S. Göttlich, S. Knapp - Modeling random traffic accidents by conservation laws, preprint, August 2019.
  2. T. Dambach, S. Göttlich, S. Knapp - Car Path Tracking in Traffic Flow Networks with Bounded Buffers at Junctions, May 2019.
  3. S. Göttlich, S. Knapp, Uncertainty quantification with risk measures in production planning, May, 2019.
  4. D. Armbruster, S. Göttlich, S.Knapp - Continuous approximation of Mt/Mt/1 distributions with application to production, December 2018.

Thesis

  1. S. Knapp - Stochastic Extensions of Production and Pedestrian Models: Microscopic and Macroscopic Approaches - Verlag Dr. Hut, 2018.
  2. S. Knapp - Lévy-Prozesse: Theorie und Anwendung - Master Thesis, University of Mannheim, Dept. of Mathematics, August 2014.
  3. S. Knapp - Irrfahrten auf elektrischen Netzwerken (random walks on electric networks) - Bachelor Thesis, University of Mannheim, Dept. of Mathematics, July 2012.

Conferences and Research Stays

Research Stays

  1. ASU, August 2019, Phoenix, USA, financially supported by DAAD-PPP USA
  2. ASU, August-September 2017, Phoenix, USA, financially supported by KI-Net
  3. Tsingua University, September 2016, Beijing, China, financially supported by DAAD-PPP VR China
  4. INRIA, September 2015, Sophia Antipolis, France, financially supported by DAAD-PPP France

Conferences and Workshops

  1. Rhein-Main Arbeitskreis "Mathematics of Computation", June 2019, Mainz, Germany, Talk: Modeling of a diffusion with aggregation: rigorous derivation and numerical simulation
  2. GAMM2019, February 2019, Vienna, Austria, Talk: Parameter estimation in a macroscopic production network model based on a PDMP
  3. Workshop ''Stochastic dynamics for complex networks and systems'', January 2019, University of Mannheim, Germany, Organizer, Talk: Production network models with stochastic load-dependent and history-based machine failures
  4. IFIP TC 7, July 2018, Universität Duisburg Essen, Germany; Talk: Production Network Models with Stochastic Capacities: Semi-Markov and Load-Dependent Approaches
  5. HYP2018, June 2018, State College, PA, USA; Talk: Production Network Models with Stochastic Capacities: Semi-Markov and Load-Dependent Approaches; financially supported by DAAD-Kongressreisen
  6. ECMI2018, June 2018, Budapest, Hungary; Talk: Production Network Models with Stochastic Capacities: Semi-Markov and Load-Dependent Approaches; financially supported by the organizing committee grants
  7. Math for the Digital Factory, March 2018, University of Limerick, Ireland; Talk: Production Network Models with Stochastic Capacities: Semi-Markov and Load-Dependent Approaches; financially supported by University of Limerick
  8. Kinetic models in biology and social sciences, February 2018, Arizona State University, USA; Talk: A pedestrian flow model with stochastic velocities: microscopic and macroscopic approaches; financially supported by KI-Net
  9. Rhein-Main Arbeitskreis, June 2017
  10. 27th Biennial Conference on Numerical Analysis, June 2017, Glasgow, Scotland; Talk: A pedestrian flow model with stochastic velocities: microscopic and macroscopic approaches
  11. KoMSO Modellierungstag, April 2017, Mannheim
  12. INdAM Workshop: Transport Modeling and Management, March 2017, Rome, Italy; Talk: A pedestrian flow model with stochastic velocities: microscopic and macroscopic approaches; Funded by INdAM
  13. Particle School 2017: February 2017, Kaiserslautern, Germany; Talk: A pedestrian flow model with stochastic velocities: microscopic and macroscopic approaches
  14. Südwestworkshop Operations Research 2016: October 2016, Kaiserslautern, Germany
  15. LOGISS 2016: LogDynamics Summer School, February 2016, Bremen, Germany