Oliver Young

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Oliver Junge (* 1968 in Neumünster ) is a German mathematician and currently professor for numerics of complex systems at the Technical University of Munich . His fields of work are the numerics of dynamic systems and optimal control .

Life and Scientific Work

Oliver Junge studied mathematics from 1989 to 1995 at the TU Darmstadt , the University of Bordeaux I and the University of Hamburg . He then worked as a research assistant at the Universities of Bayreuth and Darmstadt, where he received his doctorate in 1999 under Michael Dellnitz on the subject of quantity-oriented methods for numerical analysis of dynamic systems . In 2000 he was a visiting scientist at the Center for Dynamical Systems and Nonlinear Studies at Georgia Tech and then until 2003 research assistant again at the University of Paderborn, where he was a junior professor until 2005. That year he accepted a professorship for applied mathematics at the Technical University of Munich . There he was appointed professor for the field of numerics of complex systems in 2009.

An essential part of Oliver Junge's work deals with set-oriented methods for dynamic systems . The aim is to find global statements about the system without having to calculate trajectories . For example , we are looking for invariant manifolds or global attractors of the system that make it possible to characterize global behavior. He is co-author of the GAIO (Global Analysis of Invariant Objects) package, which enables such objects to be calculated numerically. Based on the calculation of these objects, he tries to find more precise information about the dynamics of the system using topological methods.

Building on these methods, Junge also deals with the development of algorithms for the optimal control of dynamic systems. These have the advantage of being robust against small disturbances.

Recent work deals with transfer operators and their application in molecular dynamics.

Oliver Junge is married to Tina Junge and has three children.

Selected publications

Research article

• M. Dellnitz, A. Hohmann, O. Junge and M. Rumpf, Exploring invariant sets and invariant measures, CHAOS: An Interdisciplinary Journal of Nonlinear Science, 7 (2), 1997.
• M. Dellnitz and O. Junge, On the approximation of complicated dynamical behavior, SIAM Journal on Numerical Analysis, 36 (2), 1999.
• O. Junge, An adaptive subdivision technique for the approximation of attractors and invariant measures: Proof of convergence, Dynamical Systems, 16 (3), 2001.
• M. Dellnitz, G. Froyland, and O. Junge, The algorithms behind GAIO - Set oriented numerical methods for dynamical systems, B. Fiedler (ed.): Ergodic theory, analysis, and efficient simulation of dynamical systems, Springer, 2001.
• M. Dellnitz, O. Junge, M. Lo and B. Thiere, On the detection of energetically efficient trajectories for spacecraft, AAS / AIAA Astrodynamics Specialist Conference, Quebec City, 2001.
• S. Day, O. Junge, and K. Mischaikow, A Rigorous Numerical Method for the Global Analysis of Infinite Dimensional Discrete Dynamical Systems, SIAM Journal on Applied Dynamical Systems, 3 (2), 2004.
• O. Junge and H. Osinga, A set oriented approach to global optimal control, ESAIM: Control, Optimization and Calculus of Variations, 10 (2), 2004.
• S. Day, O. Junge, and K. Mischaikow, Towards automized chaos verification, Proceedings of the International Conference on Differential Equations, 2005.
• A. Baker, M. Dellnitz, and O. Junge, A topological method for rigorously computing periodic orbits using Fourier modes, Discrete and Continuous Dynamical Systems, 13 (4), 2005
• L. Grüne and O. Junge, A set oriented approach to optimal feedback stabilization, Systems and Control Letters, 54 (2): 169-180, 2005.
• M. Dellnitz, O. Junge, M. Post and B. Thiere, On target for Venus - set oriented computation of energy efficient low thrust trajectories, Celestial Mechanics and Dynamical Astronomy, 95 (1-4), 2006.
• L. Grüne and O. Junge, Global optimal control of perturbed systems, Journal of Optimization Theory and Applications, 136 (3), 2008
• O. Junge and P. Koltai, Discretization of the Frobenius-Perron operator using a sparse Haar tensor basis - the Sparse Ulam method, SIAM Journal of Numerical Analysis, 47 (5), 2009.

Textbook

• together with L. Grüne: Ordinary differential equations - An introduction from the perspective of dynamic systems , Vieweg + Teubner 2008, ISBN 978-3-8348-0381-8 .

Web links

• Homepage

Individual evidence

1. ↑ TUM press release
2. ↑ TUM communications