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Control Theory
- Reduced Order Modeling for Data Assimilation (Einstein Foundation)
- Development of a reduced order model of a pulsed detonation combuster, within the Collaborative Research Centre 1029: Substantial efficiency increase in gas turbines through direct use of coupled unsteady combustion and flow dynamics, funded by the German Research Foundation (DFG Project)
Analysis and Numerical Solution of Differential-Algebraic Equations
- Modeling, Simulation and Control of Multi-Physics Systems (ERC Projekt)
- Analysis and computation of stability exponents for delay differential-algebraic equations, within the Collaborative Research Centre 910: Control of self-organizing nonlinear systems: Theoretical methods and concepts of application funded by the German Research Foundation (DFG project)
- Automatical Modeling and Simulation of technical Systems with Uncertainty (AMSUN), DFG project
Numerical Solution of Partial Differential Equations
- Controlled Coupling of Mixed Integer-Continuous Models
with Modeled Uncertainties, within the Collaborative Research Centre 154:
Mathematical Modelling, Simulation and Optimization using the Example of Gas Networks, funded by the German Research Foundation (DFG Project)
Industrial Applications
- Model reduction for complex transport-dominated phenomena and reactive flows
- Computer aided methods for the development of low-noise brakes (AiF-Project IGF 16799N)