Publications

Anika Beckers, Jan Friedrich (2026). Monotone-based Numerical Schemes for Two-Dimensional Systems of Nonlocal Conservation Laws.

Mapundi Kondwani Banda, Jan Friedrich, Michael Herty (2026). Boundary Stabilization with restricted observability. accepted to Hyperbolic Problems: Theory, Numerics, Applications. HYP 2024, arXiv preprint arXiv:2501.15906.

Jan Friedrich, Samala Rathan, Sanjibanee Sudha (2025). A note on the central-upwind scheme for nonlocal conservation laws. accepted to SEMA SIMAI Springer Series: Advances in Numerical Methods for Hyperbolic Balance Laws and Related Problems, arXiv preprint arXiv:2512.01344.

Sanjibanee Sudha, Jan Friedrich, Samala Rathan (2025). Convergence of the non-staggered Nessyahu-Tadmor scheme for coupled systems of one-dimensional nonlocal balance laws. accepted to IMA Journal of Numerical Analysis, arXiv preprint arXiv:2501.14425.

Jan Friedrich, Michael Herty, Claudia Nocita (2025). Control of Conservation Laws in the Nonlocal-to-Local Limit. arXiv preprint arXiv:2510.00677.

Jan Friedrich, Sarah Schraven, Fabian Kiessling, Michael Herty (2025). Source identification in bioluminescence tomography by consensus-based optimization. Opt. Express.

Jan Friedrich, Simone Göttlich, Alexander Keimer, Lukas Pflug (2024). Conservation Laws with Nonlocality in Density and Velocity and Their Applicability in Traffic Flow Modelling.

Jan Friedrich, Simone Göttlich, Alexander Keimer, Lukas Pflug (2024). Conservation Laws with Nonlocal Velocity: The Singular Limit Problem. SIAM Journal on Applied Mathematics.

F. A. Chiarello, J. Friedrich, S. Göttlich (2024). A non-local traffic flow model for 1-to-1 junctions with buffer. Networks and Heterogeneous Media.

Jan Friedrich, Sanjibanee Sudha, Samala Rathan (2023). Numerical schemes for a class of nonlocal conservation laws: a general approach. Netw. Heterog. Media.

Jan Friedrich (2023). Lyapunov stabilization of a nonlocal LWR traffic flow model. PAMM.

Jan Friedrich, Simone Göttlich, Michael Herty (2023). Lyapunov Stabilization for Nonlocal Traffic Flow Models. SIAM Journal on Control and Optimization.

Jan Friedrich, Simone Göttlich, Annika Uphoff (2023). Conservation laws with discontinuous flux function on networks: a splitting algorithm. Networks and Heterogeneous Media.

Jan Friedrich, Simone Göttlich, Maximilian Osztfalk (2022). Network models for nonlocal traffic flow. ESAIM: M2AN.

Alexandre Bayen, Jan Friedrich, Alexander Keimer, Lukas Pflug, Tanya Veeravalli (2022). Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws. SIAM Journal on Applied Dynamical Systems.

Jan Friedrich (2021). Traffic flow models with nonlocal velocity. Dr. Hut.

Jan Friedrich, Simone Göttlich, Elena Rossi (2021). Nonlocal approaches for multilane traffic models. Commun. Math. Sci..

Felisia A. Chiarello, Jan Friedrich, Paola Goatin, Simone Göttlich (2020). Micro-macro limit of a nonlocal generalized Aw-Rascle type model. SIAM J. Appl. Math..

Felisia Angela Chiarello, J Friedrich, Paola Goatin, S Göttlich, O Kolb (2020). A non-local traffic flow model for 1-to-1 junctions. European J. Appl. Math..

Jan Friedrich, Oliver Kolb (2019). Maximum principle satisfying CWENO schemes for nonlocal conservation laws. SIAM J. Sci. Comput..

Jan Friedrich, Oliver Kolb, Simone Göttlich (2018). A Godunov type scheme for a class of LWR traffic flow models with non-local flux. Netw. Heterog. Media.