Jan-Frederik Pietschmann

Publication Activity (10 Years)

Years Active: 2010-2024
Publications (10 Years): 11

Top Topics

Autonomous Entities

Image Denoising

Mathematical Theory

Pedestrian Dynamics

Top Venues

SIAM J. Appl. Math.

Appl. Math. Comput.

Adv. Comput. Math.

Publications

Jan-Frederik Pietschmann, Ailyn Stötzner, Max Winkler
Numerical investigation of agent-controlled pedestrian dynamics using a structure-preserving finite volume scheme. Adv. Comput. Math. 50 (1) (2024)
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
The mathematical theory of Hughes' model: a survey of results. CoRR (2023)
Jan-Frederik Pietschmann, Ailyn Stötzner, Max Winkler
Numerical investigation of agent controlled pedestrian dynamics using a structure preserving finite volume scheme. CoRR (2023)
Jean Cauvin-Vila, Virginie Ehrlacher, Greta Marino, Jan-Frederik Pietschmann
Stationary solutions and large time asymptotics to a cross-diffusion-Cahn-Hilliard system. CoRR (2023)
Georg Heinze, Jan-Frederik Pietschmann, Markus Schmidtchen
Nonlocal Cross-Interaction Systems on Graphs: Nonquadratic Finslerian Structure and Nonlinear Mobilities. SIAM J. Math. Anal. 55 (6) (2023)
Kai Bergermann, Carsten Deibel, Roland Herzog, Roderick C. I. MacKenzie, Jan-Frederik Pietschmann, Martin Stoll
Preconditioning for a Phase-Field Model with Application to Morphology Evolution in Organic Semiconductors. CoRR (2022)
Jan Blechschmidt, Jan-Frederik Pietschmann, Tom-Christian Riemer, Martin Stoll, Max Winkler
A comparison of PINN approaches for drift-diffusion equations on metric graphs. CoRR (2022)
Jan-Frederik Pietschmann, Matthias Schlottbom
Data driven gradient flows. CoRR (2022)
Martin Burger, Patricia Friele, Jan-Frederik Pietschmann
On a Reaction-Cross-Diffusion System Modeling the Growth of Glioblastoma. SIAM J. Appl. Math. 80 (1) (2020)
Roland Herzog, Jan-Frederik Pietschmann, Max Winkler
Optimal Control of Hughes' Model for Pedestrian Flow via Local Attraction. CoRR (2020)
Herbert Egger, Klemens Fellner, Jan-Frederik Pietschmann, Bao Quoc Tang
Analysis and numerical solution of coupled volume-surface reaction-diffusion systems with application to cell biology. Appl. Math. Comput. 336 (2018)
Herbert Egger, Jan-Frederik Pietschmann, Matthias Schlottbom
Identification of Chemotaxis Models with Volume-Filling. SIAM J. Appl. Math. 75 (2) (2015)
Jan-Frederik Pietschmann, Bärbel Schlake
Lane formation in a microscopic model and the corresponding partial differential equation. ICCV Workshops (2011)
Martin Burger, Marco Di Francesco, Jan-Frederik Pietschmann, Bärbel Schlake
Nonlinear Cross-Diffusion with Size Exclusion. SIAM J. Math. Anal. 42 (6) (2010)