Chair of Applied Mathematics - Research projects

Professor Dr. Michael Dellnitz

Astrodynamics

Development of new methods to design efficient trajectories in space for future missions.

Cooperations: EU-Network AstroNet; California Institute of Technology, Pasadena, USA
Contact:
Dr. Mirko Hessel-von Molo

Energy efficient spacecraft trajectory along an invariant manifold
Optimal control of formation flying spacecraft deployed to detect earth-like planets

Coupled Cell Systems

Coupled Cell Systems are dynamical systems which consist of several individual systems (cells) coupled together.
Focus of interest: Development of a transfer operator theory for coupled cell systems and their aplication to control theory
Applications: e.g. biological networks, electrical circuits or building services engineering

Contact: Dr. Sebastian Hage-Packhäuser, Dr. Mirko Hessel-von Molo

Illustration of the coupling structure of a coupled cellsystem represented by a directed graph

Ocean Dynamics

Time-dependent transport maps for the Southern Ocean are useful in many ways: they permit precise mass, heat and freshwater transport calculations for the Antartic Circumpolar Current.

Cooperations: University of New South Wales, Australia; Centre National de la Recherche Scientifique, Brest, France
Contact: Christian Horenkamp

Finite-time Lyapunov exponent field for the Southern Ocean
Visualisation of the Antarctic Circumpolar Current using set-oriented numerical methods

Optimization and Nonlinear Systems of Equations

Efficient solutions of multiobjective optimization problems and systems of nonlinear equations require new theory and algorithms. These problems can be of hierarchical structure or depend on additional parameters.

Cooperation: Collaborative Research Centre, SFB 614, TP A1, TP C3; Hella KGaA Hueck & Co.
Contact: Kathrin Flaßkamp
Online optimization for controlling the linear drive of a shuttle of the Neue Bahntechnik Paderborn
Pathfollowing for Pareto-optimal solutions during a test run of the shuttle
A shuttle of the Neue Bahntechnik Paderborn
Computation of optical freeform surfaces

Circuit Simulation

The numerical simulation of integrated circuits allows to verify the functionality of a chip prior to its production and provides important performance values.

Cooperation: Qimonda AG, München
Contact: Dr. Mirko Hessel-von Molo
Single-chip IP phone solution
CMOS 6T-SRAM Cell
Continuous/Discrete Simulation

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