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Research Areas
| Numerical solution of differential-algebraic equations | |
| Numerical methods for linear and nonlinear systems | |
| Numerical solution of optimal control problems | |
| Numerical solution of partial differential equations | |
| Numerical methods for linear and nonlinear eigenvalue problems | |
| Construction of preconditioners for linear systems | |
| Numerical compuation of smooth factorizations of matrix values functions | |
| Parallelisation of numerical algorithms | |
| Numerical methods for regularization and stabilzation of dynmical systems and control systems | |
| Numerical computation of structured normal forms | |
| Numerical computation of of Lyapunov and Sacker-Sell spektra | |
| Software deelopment in numerical methods | |
| Singular control problems | |
| Optimal pole placement and stabilization methods | |
| Error analysis and software development in numerical control algorithms | |
| Open and closed loop control of descriptor systems | |
| Optimal control | |
| Theory of nonnegative matrices and their generalizations | |
| Nonlinear eigenvalue problems | |
| Normal forms | |
| Matrix polynomials | |
Projects
| Network for Development and Evaluation of Numerically Reliable Software in Control Engineering and its Implementation in Production Technologies (NICONET), Brite/EuRam III RTD Thematic Network, funded by European Union, 1. January 98 -31. December 2001, with NAG (Numerical Algorithms Group) (S. Hammarling), DLR Oberpfaffenhoven (A. Varga and G. Grübel), KU Leuven (S. Van Huffel), UC Louvain (P. Van Dooren), TU Eindhoven (A. van den Boom und A. Stoorvogel) TU Delft (M. Verhaegen), and several industrial partners | |
| Analysis and numerics of under and overdetermined nonlinear differential-algebraic equations, DFG-research project, with P. Kunkel, Univ. Oldenburg, 1. September 1998-31. August 2000. | |
| Numerical simulation of train traffic in large networks BMBF-research project, with companies TLC and DB Netz (Frankfurt) 1. January 2001-31.December 2003 | |
| Numerical methods of robust control, DFG-research project with P. Benner and A. Bunse-Gerstner, Univ. Bremen and A. Varga, DLR, Oberpfaffenhoven, 1. October 2000-30. September 2003 | |
| Kalibation methods for hypbrid parallel kinemtaic robots, DFG-project in priority program Fertigungsmaschinen mit Parallelkinematiken with H. Tönshoff, Hannover, 1. October 2000-30. September 2001 | |
| Analysis and numerics of under and overdetermined nonlinear differential-algebraic equations, DFG-research project, with P. Kunkel, Univ. Oldenburg, 1. September 2000-31. August 2002. | |
| Analysis and modelling of drop size distriutions in stirred liquid/liquid systems, projekt in DFG research traning group 827, transport phenomena on moving phase boundaries, with M. Kraume TU Berlin, 1. October 2002-30. September 2005 | |
| Con founder and vice chair (2002-2008), chair (2008- ) of DFG Research center MATHEON, Mathematics for key technologies, 01.June 2002--30 May.2014 | |
Projects 2002-2006: C4: Numerical solution of large nonlinear eigenvalue problems, with C. Mehl, D1: Model reduction for large-scale systems in control and circuit simulation, with P. Benner and F. Tröltzsch, D2: Solution of large unstructured linear systems in circuit simulation, with M. Bollhofer, D5: Structure analysis for simulation and control problems of differential algebraic equations with R. März, Projects 2006-2010: A9: Simulation and control of positive descriptor systems, with R. Nabben C4: Numerical solution of large nonlinear eigenvalue problems, with C. Mehl C22: Adaptive solution of parametric eigenvalue problems for partial differential equations, with C. Carstensen und C. Mehl D1: Simulation and control of switched systems of differential-algebraic equations D2: Passivation of linear time invariant systems arising in circuit simulation and electric field computation, with C. Mehl, D18: Sparse representation of solutions of differential equations, with M. Pfetsch and H. Yserentant. Projects 2010-2014: D2: Passivation of linear time invariant systems arising in circuit simulation and electric field computation, (with T. Reis until 30. September 2011) C22: Adaptive solution of parametric eigenvalue problems for partial differential equations with C. Carstensen C29: Numerical methods for large-scale parameter-dependent systems, with J. Liesen, R. Nabben, (T. Stykel until 30.09.2011) and C. Mehl (from 01.10.2011) | |
| Numerical solution of quadratic operator eigenvalue problems from continuum mechanics DFG- research project with T. Apel, TU Chemnitz, 1. January 2002- 31. January 2006 | |
| System reduction and optimal control in the control of flows. Project in Collaborative Research Center SFB 557, with F. Tröltzsch, 1. July 2004--30. June 2010. | |
| Numerical algorithms for generalized eigenvalue problem of even structure with applications to robust control of descriptor systems. DFG-research project with P. Benner, TU Chemnitz, 1.January 2006--30. April 2010 | |
| Computation of density distribution functions for stochastically excited mechanical systems via the solution of Fokker-Planck equations DFG-research project with Utz von Wagner, Inst. f. Mechanik, TU Berlin, 1. April 2008--31. March 2011. | |
| Scalable numerical methods for adiabatic quantum preparation, DFG-research project with T. Brandes, Inst. f. theoretische Physik, TU Berlin, 1. September 2010- | |
| Modelling, simulation, and control of drop size distriutions in stirred liquid/liquid systems DFG-research project with M. Kraume, Fachgebiet für Verfahrenstechnik, TU Berlin and M. Schäfer, Fachgebiet Numerische Berechnungsverfahren im Maschinenbau, TU Darmstadt, 1. January 2009- | |
| Analysis, numerical solution and control of delay-differential-algebraic equations, Project A2 in DFG Collaborative Research Center SFB 910, (with T. Stykel until 30. Septmber 2011), 1. January 2011- | |
| ERC Advanced Grant: MODSIMCONMP Modelling, Simulation and Control of Multiphysics Systems, 1. April 2011-31. March 2016 | |
| Numerous industrial cooperations with Bosch-Rexroth, Lohr, CST GmbH, Darmstadt, DaimlerChrysler Research Esslingen, Deutsche Bahn Systems, Frankfurt, NEC Europe, St. Augustin, SFE GmbH Berlin, | |
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