Stephan Gerster

Institut für Geometrie und Praktische Mathematik
RWTH Aachen
Templergraben 55
52056 Aachen
Germany

office:
Hauptgegbäude 128.2
phone:
+49 241 80-94 559
fax:
+49 241 80-92 390
email:
gerster@igpm.rwth-aachen.de

Teaching

  • Mathematik I/II (für Bauing., Umwelting., Wirtschaftsing. FR Bau, Mobilität und Verkehr)

Research Interests

  • Stochastic Galerkin Formulations for Hyperbolic Balance Laws
  • Lyapunov Stability Analysis
  • Stochastic Fluctuations in Energy Networks

DFG-Project : Novel models and control for networked problems: from discrete event to continuous dynamics
We are interested in problems arising in physical or technical descriptions of processes like production, traffic flow or fluid dynamics. The basic mechanism not exploited yet so far, is the present and well-understood microscopic description of such processes. Usually, the microscopic scale is considered not worth or possible simulating for realistic description due to its computational complexity. Here, we want to exploit this fine scale locally to derive novel and physically correct conditions and controls. This is contrary to a priori imposed conditions which present the current state-of-the-art. Additionally, we contribute to the rather new field of closed loop control strategies for hyperbolic systems. Here, we consider in particular stabilization questions of flow patterns through a novel combination of microscopic and macroscopic descriptions as well as through game theoretic considerations.

Conferences and Workshops

  • IFIP Conference on System Modelling and Optimization, Essen, Germany 2018
  • 20th European Conference on Mathematics for Industry, Budapest, Hungary, 2018
  • GAMM Annual Meeting, Munich, Germany 2018
  • Research stay at Los Alamos National Lab, Los Alamos, USA, 2018
  • 2nd Physics Informed Machine Learning Conference, Santa Fe, USA, 2018
  • Conference on Computational Engineering Science, Aachen, Germany, 2017
  • Grid Science Winter School and Conference, Santa Fe, USA, 2017