Péter Koltai
 |
Dr. Péter Koltai M3, Zentrum Mathematik Technische Universität München D-85748 Garching bei München |
|||||||
|
ma.tum.deResearch
Research interests:- Nonlinear dynamics: persistent macroscopic structures, long-term behavior, stability regions and their computation
- Trajectory-free approximation of transfer operators
- Control theory of coupled systems
- Efficient approximation methods
- DFG-Priority Programme 1305: "Control Theory of Digitally Networked Dynamical Systems"
. Project: Analysis and design of event-based control with quantised measurements - networked systems - , Oct. 2010 - Sept. 2013.
Publications
Journal articles
- Koltai, P.; Volf, A.:
Optimizing the stable behavior of parameter-dependent dynamical systems - maximal domains of attraction, minimal absorption times,
Journal of Computational Dynamics, 1 (2), pp. 339-356, 2014. DOI 10.3934/jcd.2014.1.339.
- Koltai, P.; Junge O.:
Optimal value functions for weakly coupled systems: a posteriori estimates,
ZAMM 94 (4), pp. 345-355, 2014. DOI 10.1002/zamm.201100138.
- Froyland, G.; Junge, O.; Koltai, P.:
Estimating long term behavior of flows without trajectory integration: the infinitesimal generator approach,
SIAM J. Num. Anal. 51 (1), pp. 223–247, 2013.
- Koltai, P.:
A stochastic approach for computing the domain of attraction without trajectory simulation,
Discrete and Continuous Dynamical Systems, Supplement 2011, pp. 854-863, 2011.
- Friesecke, G.; Junge, O.; Koltai, P.:
Mean field approximation in conformation dynamics,
Multiscale Model. Simul., 8 (1), pp. 254-268, 2009.
- Junge, O.; Koltai, P.:
Discretization of the Frobenius-Perron operator using a sparse Haar tensor basis - the Sparse Ulam method,
SIAM J. Num. Anal., 47 (5), pp. 3464-3485, 2009.
Other
- Koltai, P.:
Split optimal policy iteration for LQR problems. 14pp, e-print arXiv:1404.5209 , 2014.
- Koltai, P.; Junge, O.:
Quantized nonlinear feedback design by a split dynamic programming approach. 8pp.
In: Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems (MTNS 2014), 2014. - Grüne, L.; Hirche, S.; Junge, O.; Koltai, P.; Lehmann, D.; Lunze, J.; Molin, A.; Sailer, R.; Sigurani, M.; Stöcker, Ch.; Wirth, F.:
Event-Based Control. In: Jan Lunze (Ed.), Control Theory of Digitally Networked Dynamic Systems , Springer, 2014.
- Koltai, P.:
Discrete infinitesimal generator of the Frobenius-Perron operator semigroup associated with "outflow systems". 4pp, e-print arXiv:1103.0530 , 2011.
- Koltai, P.:
Efficient approximation methods for the global long-term behavior of dynamical systems - Theory, algorithms and examples. 162pp,
PhD thesis, Technische Universität München, 2010. Published at the Logos Verlag Berlin.
Teaching
| Sommersemester 2014: | Tutor Einführung in die Numerische Lineare Algebra (MA 1302) | |
| Wintersemester 2013/2014: | Übungsleitung Höhere Mathematik 3 für EI (MA9403) | |
| Sommersemester 2010: | Übungsleitung Einführung in die Numerik | |
| Wintersemester 2009/2010: | Übungsleitung Numerics of differential equations | |
| Sommersemester 2009: | Übungsleitung Einführung in die Numerik | |
| Wintersemester 2008/2009: | Tutor Analysis I | |
| Sommersemester 2008: | Tutor Numerik partieller Differentialgleichungen (Numerik IV) | |
| Wintersemester 2007/2008: | Tutor Numerik gewöhnlicher Differentialgleichungen (Numerik III) | |
| Sommersemester 2007: | Tutor Numerik II | |
| Wintersemester 2006/2007: | Tutor Numerik I | |
| Sommersemester 2006: | Tutor Analysis II |
