Publications 2007

N. Altmüller: Poiseuille- und Quetschströmungen zwischen gewellten Platten
Diploma thesis, Chair of Applied Mathematics, University of Bayreuth, Germany, July 2007

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R. Baier, C. Büskens, I. A. Chahma, M. Gerdts: Approximation of Reachable Sets by Direct Solution Methods of Optimal Control Problems
Optimization Methods and Software 22 (3), 433 - 452, 2007

DOI: 10.1080/10556780600604999
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R. Baier, I.A.Chahma, F. Lempio: Stability and Convergence of Euler's Method for State-Constrained Differential Inclusions
SIAM Journal on Optimization 18 (3; special issue on ``Variational Analysis and Optimization''), 1004 - 1026, 2007

DOI: 10.1137/060661867
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R. Baier, E. Farkhi: Regularity and Integration of Set-Valued Maps Represented by Generalized Steiner Points
Set-Valued Analysis 15 (2), 185 - 207, 2007

DOI: 10.1007/s11228-006-0038-0
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S. Becker,L. Grüne, W. Semmler: Comparing Accuracy of Second Order Approximation and Dynamic Programming
Computational Economics 30, 65 - 91, 2007

DOI: 10.1007/s10614-007-9087-1
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L. Grüne: Computing minimal optimization horizons for stabilizing unconstrained MPC schemes
in: Proceedings of the 6th International Congress on Industrial and Applied Mathematics (ICIAM 07) and GAMM Annual Meeting, Zürich, Switzerland, 2007, 4130007 - 4130008

DOI: 10.1002/pamm.200700203
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L. Grüne: Computing stability and performance bounds for unconstrained NMPC schemes
in: Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, Louisiana, 2007, 93 - 1268

DOI: 10.1109/CDC.2007.4434156
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L. Grüne, O. Junge: An efficient algorithm for perturbed shortest path problems
in: Proceedings of the 6th International Congress on Industrial and Applied Mathematics (ICIAM 07) and GAMM Annual Meeting, Zürich, Switzerland, 2007, 1025003 - 1025004

DOI: 10.1002/pamm.200700714
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L. Grüne, O. Junge: Approximately optimal nonlinear stabilization with preservation of the Lyapunov function property
in: Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, Louisiana, 2007, 702 - 707

DOI: 10.1109/CDC.2007.4434428
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L. Grüne, P.E. Kloeden, S. Siegmund, F. Wirth: Lyapunov's second method for nonautonomous differential equations
Discrete and Continuous Dynamical Systems - Series A 18 (Special Issue on Nonautonomous, Stochastic and Hamiltonian Dynamical Systems), 375 - 403, 2007

DOI: 10.3934/dcds.2007.18.375
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L. Grüne, D. Nesic, J. Pannek: Model predictive control for nonlinear sampled-data systems
in: Assessment and Future Directions of Nonlinear Model Predictive Control (NMPC05), F. Allgöwer, L. Biegler, R. Findeisen (eds.)
Lecture Notes in Control and Information Sciences 358, Springer Verlag, Heidelberg, 2007, 105 - 113

DOI: 10.1007/978-3-540-72699-9
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L. Grüne, W. Semmler: Asset Pricing with Dynamic Programming
Computational Economics 29, 233 - 265, 2007

DOI: 10.1007/s10614-006-9063-1
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L. Grüne, W. Semmler, L. Bernard: Firm value, diversified capital assets, and credit risk: towards a theory of default correlation
Journal of Credit Risk 3, 81 - 109, 2007/08

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G. Perria: Set-Valued Interpolation
Bayreuther Mathematische Schriften 79, vi + 154 pp., in: Bayreuth, Germany, 2007


M. von Lossow: A min-max version of Dijkstra's algorithm with application to perturbed optimal control problems
in: Proceedings of the 6th International Congress on Industrial and Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Zürich, Switzerland, 2007/08, 4130027 - 4130028

DOI: 10.1002/pamm.200700646
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