M.Sc. Jan Friedrich

Contact

Research Assistant
B6, Room C309
jan.friedrich(at)uni-mannheim.de
Tel.: +49 (0)621 181-2466

Fax: +49 (0)621 181-3577

Office hour: Di. 14:00-15:30

Teaching

  • HWS 2019: Anwendungen Skalarer Erhaltungsgleichungen (Tutorial)
  • HWS 2019: Numerik (Tutorial)
  • FSS 2019: Numerik partieller Differentialgleichungen (Tutorial)
  • FSS 2019: Analysis für Wirtschaftsinformatiker (Tutorial)
  • FSS 2019: Modellierung und Simulation (Master Seminar)
  • HWS 2018: Numerik gewöhnlicher Differentialgleichungen (Tutorial)
  • FSS 2018: Numerik (Tutorial)
  • FSS 2018: Modellierung und Simulation (Master Seminar)
  • HWS 2017: Optimierung (Tutorial)

Research Interests

  • Non-local conservation laws and its applications
  • Conservation laws on networks
  • High-order numerical schemes for PDEs

Resume

  • 07/2011: Graduated from Albert-Schweitzer-/Geschwister-Scholl Gymnasium, Marl (Abitur)
  • 08/11 - 08/17: Studies in Business Mathematics, University of Mannheim
  • 09/13 - 02/14: Erasmus stay at Swansea University, Swansea, Wales
  • 01/2015: B.Sc in Business Mathematics, University of Mannheim
  • 08/2017: M.Sc in Business Mathematics, University of Mannheim
  • Since 09/2017: Research Assistant, School of Business Informatics and Mathemathics, University of Mannheim      

Publications

Recent work

  1. Felisia Angela Chiarello, Jan Friedrich, Paola Goatin, Simone Göttlich, Oliver Kolb - A non-local traffic flow model for 1-to-1 junctions - accepted for publication in EJAM   (preprint available on HAL)

Journal Publications

  1. Jan Friedrich, Oliver Kolb - Maximum principle satisfying CWENO schemes for non-local conservation laws - SIAM Journal on Scientific Computing, Vol. 41(2), pp. A973-A988, 2019 (DOI 10.1137/18M1175586 - preprint available on arXiv)
  2. Jan Friedrich, Oliver Kolb, Simone Göttlich - A Godunov type scheme for a class of LWR traffic flow models with non-local flux - Networks and Heterogeneous Media, Vol. 13 (4), pp. 531-547, 2018 (DOI 10.3934/nhm.2018024)

Thesis

  1. J. Friedrich - Szenario-Aggregation für Risikomaße - Bachelor Thesis, University of Mannheim, Dept. of Mathematics, December 2014.
  2. J. Friedrich - Network Models and Numerical Methods for Traffic Flow with Non-Local Flux Terms - Master Thesis, University of Mannheim, Dept. of Mathematics, August 2017 (Werner-Oettli-Preis for one of the best master theses 2017/18).

Conferences and Research Stays

Research Stays

  • ASU, August 2019, Phoenix, USA, financially supported by DAAD-PPP USA
  • INRIA,  July 2019 and November 2019, Sophia Antipolis, France, financially supported by the project ”Non-local conservation laws for
    engineering applications” co-funded by DAAD and PHC Procope
  • INRIA, Research Tandem, January 2019, Sophia Antipolis, France, financially supported by DAAD within the IPID4all program

Conferences and Workshops

  • Normandy Meeting on Theoretical and Numerical Aspects of PDE, November 2018, Rouen, France, Poster presentation: A one-to-one junction for a LWR traffic flow model with non-local flux; financially supported by Région Normandie and COMUE Normandie Université
  • GAMM Workshop on Numerical Analysis, October 2018, Augsburg; Talk: Maximum principle satisfying CWENO schemes for non-local conservation law
  • IFIP TC 7 Conference on System Modelling and Optimization, June 2018, Essen; Talk: Traffic flow models with non-local flux and approaches for network models
  • Students conference of the German Mathematical Society (DMV), March 2018, Paderborn; Talk: Network Models and Numerical Methods for Traffic Flow with Non-Local Flux Terms
  • Spring School 2018: From Particle Dynamics to Gradient Flows, February 2018, Kaiserslautern; Talk: A Godunov type scheme for a class of scalar conservation laws with non-local flux