Institut für Numerische Mathematik

Marcus Heitel, Dr. rer. nat.

Forschungsfelder

  • Optimalsteuerung chemischer Prozesse
  • Mannigfaltigkeitsbasierte Modellreduktion
  • (Holomorphe) dynamische Systeme und Charakterisierung von Separatrices

Konferenzen und Workshops

  • International Workshop on Model Reduction in Reactive Flows (IWMRRF) 2019 (18.-21- Juni 2019) in Trondheim, Norwegen. Vortrag über: "Characterization of Separatrices in Holomorphic Dynamical Systems"
  • International Workshop on Model Reduction in Reactive Flows (IWMRRF) 2017 (11.-14. Juli 2017) in Princeton, USA. Vortrag über: "An online slow manifold approach for efficient optimal
    control of multiple time-scale kinetics"
  • AWESCO Winter School on Numerical Optimal Control with Differential Algebraic Equations (15.-26. Februar 2016) in Freiburg.

Lehre

Publikationen

2019

5.
M. Heitel and D. Lebiedz, "On Analytical and Topological Properties of Separatrices in 1-D Holomorphic Dynamical Systems and Complex-Time Newton Flows", arXiv e-prints, Nov. 2019. https://arxiv.org/abs/1911.10963.
4.
M. Heitel, R. Verschueren, M. Diehl and D. Lebiedz, "Considering slow manifold based model reduction for multiscale chemical optimal control problems", Jul. 2019. https://arxiv.org/abs/1712.01058.
3.
D. Lebiedz, J. Dietrich, M. Heitel and J. Poppe, "Analytic continuation and differential geometry views on slow manifolds and separatrices", arXiv e-prints, 2019. https://arxiv.org/abs/1904.04613.
2.
M. Heitel and D. Lebiedz, "Characterization of Separatrices in Holomorphic Dynamical Systems", arXiv e-prints, 2019. https://arxiv.org/abs/1904.04616.

2017

1.
M. Heitel and D. Lebiedz, "An online slow manifold approach for efficient optimal control of multiple time-scale kinetics", arXiv e-prints, 2017. https://arxiv.org/abs/1703.08307.
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