Dr. Cordula Reisch

Sprechstunde:  nach Absprache per Mail. 

Office hours by appointment. 

Teaching - Summer 2024

Partial Differential Equations (Lectures and exercise class)

Mathematical Modeling (Exercise class) with Prof. Dr. D. Langemann

Research interests

• analysis of reaction-diffusion equations
• mathematical modeling in life science (e.g. liver infections)
• modell hierarchies, modell extensions, inheritance of properties
• connections between different modeling approaches

Publications

Preprints:

• K. Mitra, Q. Peng, C. Reisch: Studying wildfire fronts using advection-diffusion-reaction models, arXiv:2401.17468 (2024)
• Preprint: C. Reisch, S. Nickel, H.-M. Tautenhahn: Building up a model family for inflammations,  arXiv.2312.05982  (2023)
• Preprint: C. Reisch, H. Burmester: Model selection focusing on longtime behavior of differential equations, arXiv:2312.05128 (2023)
• Preprint: C. Reisch, H. Ranocha: Modeling still matters: a surprising instance of catastrophic floating point errors in mathematical biology and numerical methods for ODEs, arXiv:2304.02365 (2023)

Published:

• C. Reisch, A. Navas-Montilla, I. Özgen-Xian: Analytical and numerical insights into wildfire dynamics: Exploring the advection-diffusion-reaction model, Computers & Mathematics with Applications 153, 179-198, 2024, https://doi.org/10.1016/j.camwa.2024.01.024
• C. Reisch, D. Langemann: Longterm existence of solutions of a reaction diffusion system with non-local terms modeling an immune response - an interpretation-oriented proof, Partial Differential Equations in Applied Mathematics, 6 (2022) 100446, https://doi.org/10.1016/j.padiff.2022.100446
• C. Reisch, D. Langemann: Automative model selection and model certification for reaction-diffusion equations, IFAC-PapersOnLine 55 (20), 73-78, 2022, https://doi.org/10.1016/j.ifacol.2022.09.074. 
• D. Langemann, C. Reisch, U. Römer: Model certification problem for processes, IFAC-PapersOnLine 55 (20), 193-198, 2022, doi.org/10.1016/j.ifacol.2022.09.094.
• C. Reisch: Modelling health impacts of hepatitis – model selection and treatment plans. Math Comput Model 28(1), 28-54 (2022), doi: 10.1080/13873954.2021.2020296
• Dissertation: C. Reisch: Reaktions-Diffusions-Gleichungen und Modellfamilien zur Analyse von Entzündungsprozessen, Cuvillier, 2020. 
• C. Reisch, D. Langemann: Entropy functionals for finding requirements in hierarchical reaction-diffusion models for inflammations, in Mathematical Methods in the Applied Sciences, 2020, http://dx.doi.org/10.1002/mma.6682 
• M. Nolte, R. Schubert, C. Reisch, M. Maurer: Reisch, C., Maurer, M.: Sensitivity Analysis for Vehicle Dynamics Models - An Approach to Model Quality Assessment for Automated Vehicles, IEEE Intelligent Vehicles, 2020, 10.1109/IV47402.2020.9304801
• D. Langemann, C. Reisch: Chemotactic effects in reaction-diffusion equations for inflammations in Journal of Biological Physics, 2019, https://doi.org/10.1007/s10867-019-09527-3
• C. Reisch, D. Langemann: Modelling the chronification tendency of liver infections as evolutionary advantage in Bulletin of Mathematical Biology, 2019, doi.org/10.1007/s11538-019-00596-y
• J. Dierkes, C. Reisch, D. Langemann: Epistemology and mathematical modeling - formalizing the modeling process in the natural sciences, in Focus in Epistemology Research, Nova Science Publisher, 2019
• D. Langemann, C. Reisch, So einfach ist Mathematik - Grundlagen der partielle Differentialgleichungen für Anwender, Springer-Spektrum, 2018 (textbook)
• C. Reisch, I. Schrot: Hierarchies of Modeling Infections: Comparison of Reaction-Diffusion System and Cellular Automaton, ARGESIM Report 55, 49-50, Proc. MathMod2018, Wien, 2018.
• D. Langemann, C. Reisch, J. Dierkes, A mathematical model of modelling - epistemology and natural sciences, IFAC-PapersOnLine 51, 2, 499-504, Proc. MathMod2018, Wien, 2018.
• A. Peters, C. Reisch, D. Langemann, LTP or LTD? Modeling the influence of stress on synaptic plasticity,eNeuro 2018, https://doi.org/10.1523/ENEURO.0242-17.2018
• C. Reisch, T. Franz: "Quantenkryptographie" in PdN - Physik in der Schule, 1/65, S.11-16 (2016)
• C.Reisch, T.Franz: "Quantenkryptographie als Thema für den Physikunterricht" in PhyDid. B, DD 05.20 (2016)