Péter Koltai
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Dr. Péter Koltai M3, Zentrum Mathematik Technische Universität München D-85747 Garching bei München |
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ma.tum.dePublikationen
- Koltai, P.; Volf, A.:
Optimizing the stable behavior of parameter-dependent dynamical systems - maximal domains of attraction, minimal absorption times
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Submitted, e-print arXiv:1111.0495 (2011).
- Koltai, P.; Junge O.:
Optimal value functions for weakly coupled systems: a posteriori estimates,
Submitted, e-print arXiv:1110.3616 (2011).
- Koltai, P.:
A stochastic approach for computing the domain of attraction without trajectory simulation,
Proceedings of the 8th AIMS International Conference on Dynamical Systems, Diff erential Equations and Applications (2010), to appear. - Koltai, P.:
Efficient approximation methods for the global long-term behavior of dynamical systems - Theory, algorithms and examples,
PhD thesis, Technische Universität München, 2010. Published at the Logos Verlag Berlin.
- Froyland, G.; Junge, O.; Koltai, P.:
Estimating long term behavior of flows without trajectory integration: the infinitesimal generator approach,
submitted to SIAM J. Num. Anal. (2010).
- 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.
Unveröffentlicht
- Koltai, P.:
Discrete infinitesimal generator of the Frobenius-Perron operator semigroup associated with "outflow systems", preprint, 2011.
Lehre
| 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 |
