We are currently investigating the following research fields:

• Algorithmic Linear Algebra: High Performance Computing, Numerical Stability and Fault Tolerance (Einstein Foundation)
• Stability Analysis of Power Networks and Power Network Models (ECMath)

• 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)

• 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

• 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)

• Model reduction for complex transport-dominated phenomena and reactive flows
• Computer aided methods for the development of low-noise brakes (AiF-Project IGF 16799N)