@article{16677,
  author       = {{Witting, Katrin and Ober-Blöbaum, Sina and Dellnitz, Michael}},
  issn         = {{0925-5001}},
  journal      = {{Journal of Global Optimization}},
  pages        = {{331--345}},
  title        = {{{A variational approach to define robustness for parametric multiobjective optimization problems}}},
  doi          = {{10.1007/s10898-012-9972-6}},
  year         = {{2013}},
}

@inproceedings{17048,
  author       = {{Timmermann, Robert and Dellnitz, Michael}},
  booktitle    = {{Performance Analysis of Sport IX, Part 8, Routledge}},
  title        = {{{Analysis of team and player performance using recorded trajectory data}}},
  year         = {{2013}},
}

@inproceedings{17049,
  author       = {{Jakobsmeyer, R. and Schnittker, R. and Timmermann, R. and Zorn, R. and Rückert, U. and Baumeister, J.}},
  booktitle    = {{Performance Analysis of Sport IX, Part 8, Routledge}},
  title        = {{{Running performance analysis in basketball using recorded trajectory data}}},
  year         = {{2013}},
}

@article{17050,
  author       = {{Ober-Blöbaum, Sina and Tao, Molei and Cheng, Mulin and Owhadi, Houman and Marsden, Jerrold E.}},
  issn         = {{0021-9991}},
  journal      = {{Journal of Computational Physics}},
  pages        = {{498--530}},
  title        = {{{Variational integrators for electric circuits}}},
  doi          = {{10.1016/j.jcp.2013.02.006}},
  volume       = {{242}},
  year         = {{2013}},
}

@inproceedings{29491,
  author       = {{Gail, T. and Leyendecker, S. and Ober-Blöbaum, Sina}},
  booktitle    = {{Proceedings of Applied Mathematics and Mechanics}},
  pages        = {{43--44}},
  title        = {{{Computing time investigations for variational multirate integration}}},
  volume       = {{13(1)}},
  year         = {{2013}},
}

@inbook{29419,
  author       = {{Schütze, O. and Witting, K. and Ober-Blöbaum, Sina and Dellnitz, M. and Tantar, Emilia}},
  booktitle    = {{EVOLVE - A Bridge Between Probability, Set Oriented Numerics, and Evolutionary Computation}},
  pages        = {{187--219}},
  publisher    = {{Springer}},
  title        = {{{Set oriented methods for the numerical treatment of multi-objective optimization problems}}},
  year         = {{2013}},
}

@inbook{29418,
  author       = {{Leyendecker, S. and Ober-Blöbaum, Sina}},
  booktitle    = {{Jean-Claude Samin and Paul Fisette, editors, Multibody Dynamics}},
  pages        = {{97--121}},
  publisher    = {{Springer}},
  title        = {{{A variational approach to multirate integration for constrained systems}}},
  volume       = {{28}},
  year         = {{2013}},
}

@inproceedings{29441,
  author       = {{Flaßkamp, K. and Ober-Blöbaum, Sina and Schneider, T. and Böcker, J. }},
  booktitle    = {{52nd IEEE International Conference on Decision and Control }},
  location     = {{Florence, Italy}},
  pages        = {{7467--7472}},
  title        = {{{Optimal control of a switched reluctance drive by a direct method using a discrete variational principle}}},
  year         = {{2013}},
}

@inproceedings{29443,
  author       = {{Ober-Blöbaum, Sina and Seifried, A. }},
  booktitle    = {{European Control Conference}},
  location     = {{Zurich, Switzerland}},
  pages        = {{204--209}},
  title        = {{{A multiobjective optimization approach for optimal control problems of mechanical systems with uncertainties}}},
  year         = {{2013}},
}

@inproceedings{29442,
  author       = {{Flaßkamp, K. and Murphey, T. and Ober-Blöbaum, Sina}},
  booktitle    = {{European Control Conference}},
  location     = {{Zurich, Switzerland}},
  pages        = {{3179--3184}},
  title        = {{{Discretized switching time optimization problems}}},
  year         = {{2013}},
}

@inproceedings{29447,
  author       = {{Specht, A. and Ober-Blöbaum, Sina and Wallscheid, O. and Romaus, C. and Böcker, J. }},
  booktitle    = {{IEEE International Electric Machines & Drives Conference (IEMDC)}},
  pages        = {{1411--1417}},
  title        = {{{Discretetime model of an IPMSM based on variational integrators}}},
  year         = {{2013}},
}

@inproceedings{29446,
  author       = {{Ringkamp, M. and Ober-Blöbaum, Sina and Leyendecker, S.}},
  booktitle    = {{ECCOMAS Thematic Conference on Multibody Dynamics}},
  title        = {{{A numerical approach to multiobjective optimal control of multibody dynamics}}},
  year         = {{2013}},
}

@inproceedings{29444,
  author       = {{Demoures, F.  and Gay-Balmaz, F.  and Leitz, T. and Leyendecker, S.  and Ober-Blöbaum, Sina and Ratiu, T.S. }},
  booktitle    = {{Proceedings of Applied Mathematics and Mechanics}},
  pages        = {{45--46}},
  title        = {{{Asynchronous variational Lie group integration for geometrically exact beam dynamics}}},
  volume       = {{13(1)}},
  year         = {{2013}},
}

@inproceedings{29492,
  author       = {{Ringkamp, M. and Leyendecker, S. and Ober-Blöbaum, Sina}},
  booktitle    = {{Proceedings of Applied Mathematics and Mechanics}},
  pages        = {{27--28}},
  title        = {{{Multiobjective optimal control of a four-body kinematic chain}}},
  volume       = {{13(1)}},
  year         = {{2013}},
}

@inproceedings{29445,
  author       = {{Gail, T.  and Leyendecker, S.  and Ober-Blöbaum, Sina}},
  booktitle    = {{Proceedings of Applied Mathematics and Mechanics}},
  pages        = {{43--44}},
  title        = {{{Computing time investigations of variational multirate systems}}},
  volume       = {{13(1)}},
  year         = {{2013}},
}

@inproceedings{29490,
  author       = {{Flaßkamp, K. and Murphey, T. and Ober-Blöbaum, Sina}},
  booktitle    = {{Proceedings of Applied Mathematics and Mechanics}},
  pages        = {{401--402}},
  title        = {{{Optimization for discretized switched systems}}},
  volume       = {{13(1)}},
  year         = {{2013}},
}

@inbook{42805,
  abstract     = {{Following an idea of B. H. Gross, who presented an elliptic curve test for Mersenneprimes Mₚ=2ᵖ−1, we propose a similar test with elliptic curves for generalizedThabit primesK(h, n) := h·2ⁿ−1 for any positive odd number h and any integer n> log₂(h)+2.}},
  author       = {{Kirschmer, Markus and Mertens, Michael H.}},
  booktitle    = {{Integers}},
  isbn         = {{9783110298116}},
  publisher    = {{DE GRUYTER}},
  title        = {{{On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves}}},
  doi          = {{10.1515/9783110298161.212}},
  year         = {{2013}},
}

@article{42796,
  abstract     = {{We give an enumeration of all positive definite primitive Z-lattices in dimension n ≥ 3 whose genus consists of a single isometry class. This is achieved by using bounds obtained from the Smith–Minkowski–Siegel mass formula to computationally construct the square-free determinant lattices with this property, and then repeatedly calculating pre-images under a mapping first introduced by G. L. Watson.

We hereby complete the classification of single-class genera in dimensions 4 and 5 and correct some mistakes in Watson’s classifications in other dimensions. A list of all single-class primitive Z-lattices has been compiled and incorporated into the Catalogue of Lattices.}},
  author       = {{Lorch, David and Kirschmer, Markus}},
  issn         = {{1461-1570}},
  journal      = {{LMS Journal of Computation and Mathematics}},
  keywords     = {{Computational Theory and Mathematics, General Mathematics}},
  pages        = {{172--186}},
  publisher    = {{Wiley}},
  title        = {{{Single-class genera of positive integral lattices}}},
  doi          = {{10.1112/s1461157013000107}},
  volume       = {{16}},
  year         = {{2013}},
}

@inbook{16516,
  author       = {{Baier, Robert and Molo, Mirko Hessel-von}},
  booktitle    = {{Large-Scale Scientific Computing}},
  isbn         = {{9783642298424}},
  issn         = {{0302-9743}},
  title        = {{{Newton’s Method and Secant Method for Set-Valued Mappings}}},
  doi          = {{10.1007/978-3-642-29843-1_9}},
  year         = {{2012}},
}

@inbook{16576,
  author       = {{Dellnitz, Michael and Dignath, Florian and Flaßkamp, Kathrin and Molo, Mirko Hessel-von and Krüger, Martin and Timmermann, Robert and Zheng, Qinghua}},
  booktitle    = {{Mathematics in Industry}},
  isbn         = {{9783642250996}},
  issn         = {{1612-3956}},
  title        = {{{Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway}}},
  doi          = {{10.1007/978-3-642-25100-9_14}},
  year         = {{2012}},
}