Jan Friedrich
Jan Friedrich

Research Associate / Lecturer (Akademischer Rat)

About Me

Currently, I am a researcher and lecturer at Technical University of Munich. My research deals with hyperbolic partial differential equations, their applications and in particular their numerical approximation. One focus is on equations involving nonlocal terms. Here, I am one of the PIs of the project ‘Balance laws with space-dependent nonlocalities’ within the DFG SPP-2410 to explore those equations further.

Moreover, I have a great passion for teaching and have gained a lot of experience in this area in Aachen, at the University of Mannheim and recently at the IIPE, India.

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Experience
  • Research Associate / Lecturer (Akademischer Rat)

    Technical University of Munich

  • Principal Investigator, SPP 2410

    German Research Foundation

  • Postdoc in hyperbolic problems and control of PDEs

    RWTH Aachen University

  • Postdoc in numerical analysis of nonlocal PDEs

    University of Mannheim

Education
  • PhD in applied mathematics

    University of Mannheim

  • M.Sc. in Business Mathematics

    University of Mannheim

  • B.Sc. in Business Mathematics

    University of Mannheim

  • Exchange Semester

    Swansea University, Wales

Interests
  • Mathematical and Numerical Analysis of PDEs
  • Nonlocal Conservation Laws and its Applications
  • PDE-constrained Optimization
  • Lyapunov Stabilization of PDEs
  • Particle-based Optimization Methods
💡 Projects
📚 Recent Publications
(2026). Boundary Stabilization with restricted observability. accepted to Hyperbolic Problems: Theory, Numerics, Applications. HYP 2024, arXiv preprint arXiv:2501.15906.
(2025). Convergence of the non-staggered Nessyahu-Tadmor scheme for coupled systems of one-dimensional nonlocal balance laws. arXiv preprint arXiv:2501.14425.
(2025). Control of Conservation Laws in the Nonlocal-to-Local Limit. arXiv preprint arXiv:2510.00677.
(2025). Source identification in bioluminescence tomography by consensus-based optimization. Opt. Express.
(2024). A non-local traffic flow model for 1-to-1 junctions with buffer. Networks and Heterogeneous Media.
💬 Recent Talks

Conservation laws with space-dependent nonlocalities

• Numerical methods in CSE (Oberseminar)

Numerical schemes for conservation laws with space-dependent nonlocalities

• Monthly Lecture Series, Mahindra University

Nonlocal balance laws - Numerical schemes and applications to traffic flow

• Numerical Aspects of Hyperbolic Balance Laws and Related Problems