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Publications

Publications at the institute since 1990

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John, Peter E.; Diudea, Mircea V.
Counting Kekulé numbers in torenes : a conjecture. - In: Nanostructures. - New York : Nova Science Publ., (2005), S. 167-174

Babovsky, Hans;
Hexagonal kinetic models and the numerical simulation of kinetic boundary layers. - In: Analysis and numerics for conservation laws. - Berlin [u.a.] : Springer, ISBN 978-3-540-24834-7, (2005), S. 47-57

Lachout, Petr; Liebscher, Eckhard; Vogel, Silvia
Strong convergence of estimators as [epsilon]n-minimisers of optimisation problems. - In: Annals of the Institute of Statistical Mathematics. - Dordrecht [u.a.] : Springer Science + Business Media B.V, ISSN 1572-9052, Bd. 57 (2005), 2, S. 291-313

http://dx.doi.org/10.1007/BF02507027
Witschel, Hans Friedrich; Böhme, Thomas
Evaluating profiling and query expansion methods for P2P information retrieval. - In: Proceedings of the 2005 ACM Workshop on Information Retrieval in Peer-to-Peer Networks. - New York, NY : ACM Press, (2005), S. 1-8

Kohl, Anja; Schreyer, Jens; Tuza, Zsolt; Voigt, Margit
List version of L(d,s)-labelings. - In: Theoretical computer science : the journal of the EATCS.. - Amsterdam [u.a.] : Elsevier, Bd. 349 (2005), 1, S. 92-98

http://dx.doi.org/10.1016/j.tcs.2005.09.032
Vogel, Silvia;
Qualitative stability of stochastic programs with applications in asymptotic statistics. - In: Statistics & decisions. - München : Oldenbourg, ISSN 0721-2631, Bd. 23 (2005), 3, S. 219-248

Hoffmann, Armin; Geletu W. Selassie, Abebe
On robustness of set-valued maps and marginal value functions. - In: Discussiones mathematicae. - Zielona Góra : Univ. of Zielona Góra Press, ISSN 1509-9407, Bd. 25 (2005), 1, S. 59-108

The ideas of robust sets, robust functions and robustness of general set valued maps were introduced by Chew & Zheng and further developed by Shi, Zheng, Zhuang , Phú, Hoffmann and Hichert to weaken up the semi-continuity requirements of certain global optimization algorithms. Robust analysis, along with measure theory, has well served as the basis for the integral global optimization method (IGOM) (Chew & Zheng ). Hence, we have attempted here to extend the robust analysis of Zheng et al. to that of robustness of set-valued maps with given structures and marginal value functions. We are also of strong conviction that, the results of our investigation could open a way to apply the IGOM for the numerical treatment of some class of parametric optimization problems, when global optima are required. - MSC 2000: 90C34, 49J52, 49J53, 90C31. - Keywords: robust set; robust function; robust set-valued map; marginal value function; piecewise lower (upper) semi-continuous; approximatable function; approximatable set-valued map; regularity condition; extended Mangasarian-Fromowitz constraint qualification.



Schilder, Frank; Vogt, Werner; Schreiber, Stephan; Osinga, Hinke M.
Fourier methods for quasi-periodic oscillations. - Ilmenau : Techn. Univ., Inst. für Mathematik, 2005. - 45 S. = 9,43 MB. . - (Preprint. - M05,01)
http://www.db-thueringen.de/servlets/DocumentServlet?id=5426
Ilchmann, Achim; Ryan, Eugene P.; Townsend, Philip
Tracking control with prescribed transient behaviour for systems of known relative degree. - Ilmenau : Techn. Univ., Inst. für Mathematik, 2005. - 21 S. = 348,8 KB. . - (Preprint. - M05,02)
http://www.db-thueringen.de/servlets/DocumentServlet?id=5375
Duc, Luu Hoang; Ilchmann, Achim; Siegmund, Stefan; Taraba, Peter
On stability of linear time-varying second-order differential equations. - Ilmenau : Techn. Univ., Inst. für Mathematik, 2005. - 17 S. = 215,4 KB. . - (Preprint. - M05,03)
http://www.db-thueringen.de/servlets/DocumentServlet?id=5376