Publikationen am Institut für Mathematik

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Berger, Thomas;
Bohl exponent for time-varying linear differential-algebraic equations. - In: International journal of control, ISSN 1366-5820, Bd. 85 (2012), 10, S. 1433-1451

http://dx.doi.org/10.1080/00207179.2012.688872
Werner, Jürgen; Hillenbrand, Matthias; Hoffmann, Armin; Sinzinger, Stefan
Automatic differentiation in the optimization of imaging optical systems. - In: Schedae informaticae, ISSN 2083-8476, Bd. 21 (2012), S. 169-175

Automatic differentiation is an often superior alternative to numerical differentiation that is yet unregarded for calculating derivatives in the optimization of imaging optical systems. We show that it is between 8% and 34% faster than numerical differentiation with central difference when optimizing various optical systems.



http://dx.doi.org/10.4467/20838476SI.12.011.0821
Sinotina, Tatiana; Vogel, Silvia
Universal confidence sets for the mode of a regression function. - In: IMA journal of management mathematics, ISSN 1471-6798, Bd. 23 (2012), 4, S. 309-323

http://dx.doi.org/10.1093/imaman/dps011
Berger, Thomas; Ilchmann, Achim; Reis, Timo
Zero dynamics and funnel control of linear differential-algebraic systems. - In: Mathematics of control, signals, and systems, ISSN 1435-568X, Bd. 24 (2012), 3, S. 219-263

https://doi.org/10.1007/s00498-012-0085-z
Berger, Thomas; Trenn, Stephan
The quasi-Kronecker form for matrix pencils. - In: SIAM journal on matrix analysis and applications, ISSN 1095-7162, Bd. 33 (2012), 2, S. 336-368

http://dx.doi.org/10.1137/110826278
Brechtken, Stefan;
Lattice group models: GPU acceleration and numerics. - In: AIP conference proceedings, ISSN 1551-7616, Bd. 1501 (2012), S. 239-246

http://dx.doi.org/10.1063/1.4769513
Babovsky, Hans;
"Small" kinetic models for transitional flow simulations. - In: AIP conference proceedings, ISSN 1551-7616, Bd. 1501 (2012), S. 272-278

http://dx.doi.org/10.1063/1.4769520
Strauss, Vladimir Abramovich; Trunk, Carsten
Some Sobelev spaces as Pontryagin spaces. - In: Vestnik Južno-Ural'skogo Gosudarstvennogo Universiteta. Serija matematika, mechanika, fizika / Južno-Uralьskij gosudarstvennyj universitet. - Čeljabinsk, 2014- , ISSN: 2075-809X , ZDB-ID: 2701282-7, ISSN 2075-809X, Bd. 6.2012, 11 (270), S. 14-23

We show that well known Sobolev spaces can quite naturally be treated as Pontryagin spaces. This point of view gives a possibility to obtain new properties for some traditional objects such as simplest differential operators.



Anderson, Brian D.; Ilchmann, Achim; Ilchmann, Achim *1956-*;
Stabilization of linear time-varying systems. - Ilmenau : Techn. Univ., Inst. für Mathematik, 2012. - Online-Ressource (PDF-Datei: 21 S., 272,6 KB). - (Preprint ; M12,14)
http://www.db-thueringen.de/servlets/DocumentServlet?id=21511
Möws, Roland;
On similarity of indefinite Sturm-Liouville operators. - In: Proceedings in applied mathematics and mechanics, ISSN 1617-7061, Bd. 12 (2012), 1, S. 771-772

http://dx.doi.org/10.1002/pamm.201210374