Nonlinear Cross-Diffusion with Size Exclusion. - Martin Burger 001; Marco Di Francesco; Jan-Frederik Pietschmann; Bärbel Schlake (SIAM J. Math. Anal., 2010)

Lane formation in a microscopic model and the corresponding partial differential equation. - Jan-Frederik Pietschmann; Bärbel Schlake (ICCV Workshops, 2011)

Connection Between Microscopic and Macroscopic Models. - Jan-Frederik Pietschmann (Modeling, Simulation and Visual Analysis of Crowds, 2013)

Identification of Chemotaxis Models with Volume-Filling. - Herbert Egger; Jan-Frederik Pietschmann; Matthias Schlottbom (SIAM J. Appl. Math., 2015)

Analysis and numerical solution of coupled volume-surface reaction-diffusion systems with application to cell biology. - Herbert Egger; Klemens Fellner; Jan-Frederik Pietschmann; Bao Quoc Tang (Appl. Math. Comput., 2018)

Optimal Control of Hughes' Model for Pedestrian Flow via Local Attraction. - Roland Herzog; Jan-Frederik Pietschmann; Max Winkler (CoRR, 2020)

On a Reaction-Cross-Diffusion System Modeling the Growth of Glioblastoma. - Martin Burger 001; Patricia Friele; Jan-Frederik Pietschmann (SIAM J. Appl. Math., 2020)

Preconditioning for a Phase-Field Model with Application to Morphology Evolution in Organic Semiconductors. - Kai Bergermann; Carsten Deibel; Roland Herzog; Roderick C. I. MacKenzie; Jan-Frederik Pietschmann; Martin Stoll (CoRR, 2022)

A comparison of PINN approaches for drift-diffusion equations on metric graphs. - Jan Blechschmidt; Jan-Frederik Pietschmann; Tom-Christian Riemer; Martin Stoll; Max Winkler (CoRR, 2022)

Data driven gradient flows. - Jan-Frederik Pietschmann; Matthias Schlottbom (CoRR, 2022)

The mathematical theory of Hughes' model: a survey of results. - Debora Amadori; Boris P. Andreianov; Marco Di Francesco; Simone Fagioli; Théo Girard; Paola Goatin; Peter A. Markowich; Jan-Frederik Pietschmann; Massimiliano D. Rosini; Giovanni Russo; Graziano Stivaletta; Marie-Therese Wolfram (CoRR, 2023)

Stationary solutions and large time asymptotics to a cross-diffusion-Cahn-Hilliard system. - Jean Cauvin-Vila; Virginie Ehrlacher; Greta Marino; Jan-Frederik Pietschmann (CoRR, 2023)

Nonlocal Cross-Interaction Systems on Graphs: Nonquadratic Finslerian Structure and Nonlinear Mobilities. - Georg Heinze; Jan-Frederik Pietschmann; Markus Schmidtchen (SIAM J. Math. Anal., 2023)

Gradient flows on metric graphs with reservoirs: Microscopic derivation and multiscale limits. - Georg Heinze; Jan-Frederik Pietschmann; André Schlichting (CoRR, 2024)

Numerical investigation of agent-controlled pedestrian dynamics using a structure-preserving finite volume scheme. - Jan-Frederik Pietschmann; Ailyn Stötzner; Max Winkler (Adv. Comput. Math., 2024)

Preconditioning for a Cahn-Hilliard-Navier-Stokes model for morphology formation in organic solar cells. - Pelin Çiloglu; Carmen Tretmans; Roland Herzog; Jan-Frederik Pietschmann; Martin Stoll (J. Comput. Phys., 2025)

Physics-Informed DeepONets for drift-diffusion on metric graphs: simulation and parameter identification. - Jan Blechschmidt; Tom-Christian Riemer; Max Winkler; Martin Stoll; Jan-Frederik Pietschmann (CoRR, 2025)

Neural Network Acceleration of Iterative Methods for Nonlinear Schrödinger Eigenvalue Problems. - Daniel Peterseim; Jan-Frederik Pietschmann; Jonas Püschel; Kilian Ruess (CoRR, 2025)