Dr. Jan FriedrichInstitut für Geometrie und Praktische MathematikRWTH Aachen Templergraben 55 52056 Aachen Germany office: Hauptgebäude R 128.2 phone: +49 241 80-93065 fax: +49 241 80-693951 email: friedrich@igpm.rwth-aachen.de others: ORCID Scopus Web of Science Google Scholar ResearchGate Linkedin
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Academic Positions
- PostDoc, IGPM, RWTH Aachen University (Jan 2022 - present)
Research group of Prof. Dr. Michael Herty - PostDoc, WIM, Mannheim University (Sep - Dec 2021)
Research group of Prof. Dr. Simone Göttlich - PhD in Mathematics,WIM, Mannheim University (Sep 2017 - Aug 2021)
Supervisor: Prof. Dr. Simone Göttlich
Research Interests
- Nonlocal Conservation Laws and its Applications
- Mathematical Modeling of Vehicular Traffic
- Mathematical and Numerical Analysis of PDEs
- (High-order) Numerical Schemes for PDEs
Preprints
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J. Friedrich, S. Göttlich, A. Keimer, L. Pflug, 2023
Conservation laws with nonlocality in density and velocity and their applicability in traffic flow modelling -
J. Friedrich, S. Sudha, S. Rathan, 2023
Numerical schemes for a class of nonlocal conservation laws: a general approach -
J. Friedrich, S. Göttlich, A. Keimer, L. Pflug, 2022
Conservation laws with nonlocal velocity - the singular limit problem -
J. Friedrich, 2022
Lyapunov stabilization of a nonlocal LWR model -
J. Friedrich, S. Göttlich, M. Herty, 2022
Lyapunov stabilization for nonlocal traffic flow models
Publications
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J. Friedrich, S. Göttlich, A. Uphoff
Conservation laws with discontinuous flux function on networks: a splitting algorithm
Netw. Heterog. Media, 18(1): 1-28 , 2023. -
A. Bayen, J. Friedrich, A. Keimer, L. Pflug, T. Veeravalli
Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws
SIAM J. Appl. Dyn. Syst., 21 (2),1495--1538, 2022. -
J. Friedrich, S. Göttlich, M. Osztfalk
Network models for nonlocal traffic flow
ESAIM Math. Model. Numer. Anal., 56, 213--235, 2022. -
J. Friedrich, E. Rossi, S. Göttlich
Nonlocal approaches for multilane traffic models
Commun. Math. Sci., 19, 2291--2317, 2021. -
F. Chiarello, J. Friedrich, P. Goatin, S. Göttlich
Micro-Macro limit of a non-local generalized Aw-Rascle type model
SIAM J. Appl. Math., 80, 1841–1861, 2020. -
F. Chiarello, J. Friedrich, P. Goatin, S. Göttlich, O. Kolb
A non-local traffic flow model for 1-to-1 junctions
European J. Appl. Math., 31, 1029-1049, 2020. -
J. Friedrich, O. Kolb
Maximum principle satisfying CWENO schemes for nonlocal conservation laws
SIAM J. Sci. Comput., 41, A973-A988, 2019. -
J. Friedrich, O. Kolb, S. Göttlich
A Godunov type scheme for a class of LWR traffic flow models with non-local flux
Netw.Heterog. Media, 13, pp. 531-547, 2018.
PhD Thesis
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J. Friedrich
Traffic flow models with nonlocal velocity
ISBN 978-3-8439-4903-3, 2021.
Teaching Experience (Excerpt)
[WT22] | Mathematics 1 for civil engineers, | Assistant, | RWTH Aachen |
[ST22] | Mathematics 2 for civil engineers, | Assistant, | RWTH Aachen |
[WT21] | Numerical Methods for Ordinary Differential Equations, | Lecturer, | University of Mannheim |
[ST21, ST20, ST19] | Numerical Methods for Partial Differential Equations, | Assistant, | University of Mannheim |
[WT20, WT19] | Applications of Scalar Conservation Laws, | Assistant, | University of Mannheim |
[WT20, WT19, ST18] | Numerics, | Assistant, | University of Mannheim |
Conferences (Excerpt)
- Recent Trends in Optimization and Control: Short course and Workshop , Main Organizer, Pertoria, South Africa 2023
- SIAM PD 2022, Co-Chair, Minisymposium: Nonlocal conservation laws, virtual, March 2022
- DMV-ÖMG Annual Conference 2021, Co-Chair, Minisymposium 13: Nonlocal conservation laws, virtual, Sep. 2021
- 13th International Conference on Monte Carlo Methods and Applications, Local Organizer, virtual, Aug. 2021
- GAMM 2022, Lyapunov stabilization for nonlocal traffic flow models, Aachen, August 2022
- HYP 2022, Traffic flow models with nonlocal velocity: The singular limit problem, Malaga, June 2022
- SIAM PD 2022, Nonlocal approaches for multilane traffic models, virtual, March 2022
- DMV-ÖMG Annual Conference 2021, Network models for nonlocal traffic flow, virtual, Sep. 2021
As Organizer
Talks
Other
- ASU, Phoenix, USA, Aug. 2019, financially supported by DAAD-PPP USA
- INRIA, Sophia Antipolis, France, July and Nov. 2019, financially supported by DAAD France and PHC Procope
- INRIA, Sophia Antipolis, France, Jan. 2019, Research Tandem, financially supported by DAAD within the IPID4all program
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Special Issue:
Nonlocal Conservation laws
Networks and Heterogeneous Media - SIAM Journal on Applied Dynamical Systems
- Mathematical Biosciences and Engineering
- Bulletin of the Brazilian Mathematical Society
- Networks and Heterogeneous Media
- Kinetic and Related Models