Bergische Universität Wuppertal Fachbereich Mathematik und Naturwissenschaften Applied and Computational Mathematics (ACM)

Team Research Publications Teaching

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Summary

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References

• L. Di Persio, M. Ehrhardt and S. Rizzotto, Integrating Port-Hamiltonian Systems with Neural Networks: From Deterministic to Stochastic Frameworks, Preprint 24/06, April 2024.
• J. Ackermann, M. Ehrhardt, T. Kruse and A. Tordeux, Modelling car-following dynamics with stochastic input-state-output port-Hamiltonian systems, Proceedings of Traffic & Granular Flows 2024.
• M. Ehrhardt, M. Günther and W. Schilders, Mimetic Numerical methods, Structure Preservation and port-Hamiltonian Systems, Springer, scheduled 2025.
• J. Ackermann, M. Ehrhardt, T. Kruse and A. Tordeux, Stabilisation of Stochastic Single-File Dynamics using Port-Hamiltonian Systems, IFAC-PapersOnLine, Volume 58, Issue 17, 2024, Pages 145-150. DOI: 10.1016/j.ifacol.2024.10.128.
• M. Ehrhardt, T. Kruse and A. Tordeux, The Collective Dynamics of a Stochastic Port-Hamiltonian Self-Driven Agent Model in One Dimension, ESAIM: Mathematical Modelling and Numerical Analysis Volume 58 (2024), 515-544. DOI: 10.1051/m2an/2024004.
  Erratum: in the middle of Remark 2.1. it should read: (i.e., p_n (t) = (p_n+1(t) + p_n-1(t))/2)
• J. Jäschke, N. Skrepek and M. Ehrhardt, Mixed-Dimensional Geometric Coupling of Port-Hamiltonian Systems, Applied Mathematics Letters, Volume 137, March 2023, 108508. DOI: 10.1016/j.aml.2022.108508.
• J. Jäschke, M. Ehrhardt, M. Günther and B. Jacob, A Two-Dimensional Port-Hamiltonian Model for Coupled Heat Transfer, Mathematics 2022, 10(24), 4635; (Special Issue "Completely Integrable Equations: Algebraic Aspects and Applications") DOI: 10.3390/math10244635.
• J. Jäschke, M. Ehrhardt, M. Günther and B. Jacob, A Port-Hamiltonian Formulation of Coupled Heat Transfer, Mathematical and Computer Modelling of Dynamical Systems, Volume 28, Issue 1 (2022), 78-94. DOI: 10.1080/13873954.2022.2038637
• J. Jäschke, M. Ehrhardt, M. Günther and B. Jacob, Discrete port-Hamiltonian Coupled Heat Transfer, in: M. Ehrhardt and M. Günther (eds.), Progress in Industrial Mathematics at ECMI 2021, The European Consortium for Mathematics in Industry, Springer, 2022, pp. 439-445. DOI: 10.1007/978-3-031-11818-0_57.

Talks related to the Project

• August 2024, M. Ehrhardt, talk Stabilisation of Stochastic Single-File Dynamics using Port-Hamiltonian Systems at 26th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2024)
• June 26-30, 2023, Minisymposium M12 at ECMI 2023 conference, Wroclaw, Poland. Analysis and Numerics of port-Hamiltonian Systems (11 Speakers), organized by Matthias Ehrhardt (Wuppertal) and Björn Liljegren-Sailer (Trier)
• July 27-29, 2022, Minisymposium M12 at MATHMOD 2022 conference, Vienna, Austria. Analysis and Numerics of port-Hamiltonian Systems (8 Speakers), organized by Matthias Ehrhardt (Wuppertal) and Birgit Jacob (Wuppertal)