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Prof. Dr. rer. nat. habil. Matthias Kriesell


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Veröffentlichungen am Institut für Mathematik seit 1990

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Brechtken, Stefan;
Lattice group models: GPU acceleration and numerics. - In: AIP conference proceedings. - Melville, NY : Inst, ISSN 15517616, Bd. 1501 (2012), S. 239-246
Babovsky, Hans;
"Small" kinetic models for transitional flow simulations. - In: AIP conference proceedings. - Melville, NY : Inst, ISSN 15517616, Bd. 1501 (2012), S. 272-278
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- ; 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. O.; Ilchmann, Achim; Wirth, Fabian R.
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)
Möws, Roland;
On similarity of indefinite Sturm-Liouville operators. - In: Proceedings in applied mathematics and mechanics : PAMM.. - Weinheim [u.a.] : Wiley-VCH, ISSN 1617-7061, Bd. 12 (2012), 1, S. 771-772
Berger, Thomas;
On perturbations in the leading coefficient matrix of time-varying index-1 DAEs. - In: Proceedings in applied mathematics and mechanics : PAMM.. - Weinheim [u.a.] : Wiley-VCH, ISSN 1617-7061, Bd. 12 (2012), 1, S. 793-796
Knobloch, Jürgen; Vielitz, Martin; Wagenknecht, Thomas
Non-reversible perturbations of homoclinic snaking scenarios. - In: Nonlinearity : ... a journal of the Institute of Physics and the London Mathematical Society.. - Bristol : IOP Publ., ISSN 1361-6544, Bd. 25 (2012), 12, S. 3469-3485
Winkler, Henrik; Woracek, Harald
Reparametrizations of non trace-normed Hamiltonians. - In: Spectral theory, mathematical system theory, evolution equations, differential and difference equations. - Basel : Birkhäuser, (2012), S. 667-690

Golembewski, René; Schäfer, Günter; Gerlach, Tobias
Efficient communication for large-scale robust image processing with smart camera devices. - In: IEEE Symposium on Computational Intelligence for Security and Defense Applications (CISDA), 2012 : 11 - 13 July 2012, Ottawa, Canada.. - Piscataway, NJ : IEEE, ISBN 978-1-4673-1417-6, (2012), insges. 8 S.
Werner, Jürgen; Zhao, Mingcheng; Hillenbrand, Matthias; Sinzinger, Stefan
RBF-based optical surfaces. - In: DGaO-Proceedings. - Erlangen-Nürnberg: Dt. Gesellschaft für angewandte Optik, ISSN 1614-8436, Bd. 113.2012, P39, insges. 2 S.

Freeform optical surfaces offer additional degrees of freedom for designing imaging systems without rotational symmetry. This allows for a reduction in the number of optical elements, leading to more compact and lightweight systems, while at the same time improving the image quality. This also enables new areas of application. Commonly used representations for freeform surfaces are x-y-polynomials, Zernike polynomials and NURBS. Radial basis functions (RBF) have been used for many years e.g. in artificial neural networks and functional approximation and can also be used to describe optical surfaces. In this contribution we investigate properties specific to RBF-based optical surfaces and compare the performance of RBF-based surfaces to other representations in selected optical imaging systems. Interesting aspects include the dependency on the number of RBF that are summed to form the surface, the locality structure and its effects on optimization.