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Jan-Frederik Pietschmann
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Journal Articles
- 2024
- [j6]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): 4 (2024) - 2023
- [j5]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): 7039-7076 (2023) - 2020
- [j4]Martin Burger, Patricia Friele, Jan-Frederik Pietschmann
:
On a Reaction-Cross-Diffusion System Modeling the Growth of Glioblastoma. SIAM J. Appl. Math. 80(1): 160-182 (2020) - 2018
- [j3]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: 351-367 (2018) - 2015
- [j2]Herbert Egger, Jan-Frederik Pietschmann
, Matthias Schlottbom
:
Identification of Chemotaxis Models with Volume-Filling. SIAM J. Appl. Math. 75(2): 275-288 (2015) - 2010
- [j1]Martin Burger, Marco Di Francesco
, Jan-Frederik Pietschmann
, Bärbel Schlake:
Nonlinear Cross-Diffusion with Size Exclusion. SIAM J. Math. Anal. 42(6): 2842-2871 (2010)
Conference and Workshop Papers
- 2011
- [c1]Jan-Frederik Pietschmann
, Bärbel Schlake:
Lane formation in a microscopic model and the corresponding partial differential equation. ICCV Workshops 2011: 173-179
Parts in Books or Collections
- 2013
- [p1]Jan-Frederik Pietschmann
:
Connection Between Microscopic and Macroscopic Models. Modeling, Simulation and Visual Analysis of Crowds 2013: 43-65
Informal and Other Publications
- 2023
- [i7]Jan-Frederik Pietschmann, Ailyn Stötzner, Max Winkler:
Numerical investigation of agent controlled pedestrian dynamics using a structure preserving finite volume scheme. CoRR abs/2301.02516 (2023) - [i6]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 abs/2305.10076 (2023) - [i5]Jean Cauvin-Vila, Virginie Ehrlacher, Greta Marino, Jan-Frederik Pietschmann:
Stationary solutions and large time asymptotics to a cross-diffusion-Cahn-Hilliard system. CoRR abs/2307.05985 (2023) - 2022
- [i4]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 abs/2204.03575 (2022) - [i3]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 abs/2205.07195 (2022) - [i2]Jan-Frederik Pietschmann, Matthias Schlottbom:
Data driven gradient flows. CoRR abs/2205.12172 (2022) - 2020
- [i1]Roland Herzog, Jan-Frederik Pietschmann, Max Winkler:
Optimal Control of Hughes' Model for Pedestrian Flow via Local Attraction. CoRR abs/2011.03580 (2020)
Coauthor Index
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