@article{34847,
  abstract     = {{Let G be a wreath product of the form C₂ ≀ H, where C₂ is the cyclic group of order 2. Under mild conditions for H we determine the asymptotic behavior of the counting functions for number fields K/k with Galois group G and bounded discriminant. Those counting functions grow linearly with the norm of the discriminant and this result coincides with a conjecture of Malle. Up to a constant factor these groups have the same asymptotic behavior as the conjectured one for symmetric groups. }},
  author       = {{Klüners, Jürgen}},
  issn         = {{1793-0421}},
  journal      = {{International Journal of Number Theory}},
  number       = {{03}},
  pages        = {{845--858}},
  publisher    = {{World Scientific Pub Co Pte Lt}},
  title        = {{{The Distribution of Number Fields with Wreath Products as Galois Groups }}},
  doi          = {{10.1142/s1793042112500492}},
  volume       = {{08}},
  year         = {{2012}},
}

@article{42797,
  abstract     = {{An efficient algorithm to compute automorphism groups and isometries of definite Fq[t]-lattices for odd q is presented. The algorithm requires several square root computations in Fq₂ but no enumeration of orbits having more than eight elements. }},
  author       = {{Kirschmer, Markus}},
  issn         = {{0025-5718}},
  journal      = {{Mathematics of Computation}},
  keywords     = {{Applied Mathematics, Computational Mathematics, Algebra and Number Theory}},
  number       = {{279}},
  pages        = {{1619--1634}},
  publisher    = {{American Mathematical Society (AMS)}},
  title        = {{{A normal form for definite quadratic forms over $\mathbb{F}_{q}[t]$}}},
  doi          = {{10.1090/s0025-5718-2011-02570-6}},
  volume       = {{81}},
  year         = {{2012}},
}

@inproceedings{16588,
  author       = {{Flaßkamp, Kathrin and Ober-Blöbaum, Sina}},
  booktitle    = {{Proceedings of the 14th international conference on Hybrid systems: computation and control - HSCC '11}},
  isbn         = {{9781450306294}},
  title        = {{{Variational formulation and optimal control of hybrid lagrangian systems}}},
  doi          = {{10.1145/1967701.1967736}},
  year         = {{2011}},
}

@article{16624,
  author       = {{Klus, Stefan and Sahai, Tuhin and Liu, Cong and Dellnitz, Michael}},
  issn         = {{0377-0427}},
  journal      = {{Journal of Computational and Applied Mathematics}},
  pages        = {{3053--3062}},
  title        = {{{An efficient algorithm for the parallel solution of high-dimensional differential equations}}},
  doi          = {{10.1016/j.cam.2010.12.026}},
  year         = {{2011}},
}

@article{16629,
  author       = {{Krüger, Martin and Witting, Katrin and Trächtler, Ansgar and Dellnitz, Michael}},
  issn         = {{1474-6670}},
  journal      = {{IFAC Proceedings Volumes}},
  pages        = {{12611--12619}},
  title        = {{{Parametric Model-Order Reduction in Hierarchical Multiobjective Optimization of Mechatronic Systems*}}},
  doi          = {{10.3182/20110828-6-it-1002.02487}},
  year         = {{2011}},
}

@article{16639,
  author       = {{Meyer, A. and Dellnitz, M. and Hessel-von Molo, M.}},
  issn         = {{1751-570X}},
  journal      = {{Nonlinear Analysis: Hybrid Systems}},
  pages        = {{125--135}},
  title        = {{{Symmetries in timed continuous Petri nets}}},
  doi          = {{10.1016/j.nahs.2010.05.005}},
  year         = {{2011}},
}

@article{17034,
  author       = {{Hage-Packhäuser, Sebastian and Dellnitz, Michael}},
  journal      = {{Discrete & Continuous Dynamical Systems - B}},
  number       = {{1}},
  pages        = {{239--263}},
  title        = {{{Stabilization via symmetry switching in hybrid dynamical systems}}},
  doi          = {{10.3934/dcdsb.2011.16.239}},
  volume       = {{16}},
  year         = {{2011}},
}

@inproceedings{29457,
  author       = {{Ober-Blöbaum, Sina}},
  booktitle    = {{Proceedings of Oberwolfach Reports ''Geometric Numerical Integration''}},
  title        = {{{Discrete mechanics and optimal control: Structure preserving integration for the optimal control of mechanical systems}}},
  year         = {{2011}},
}

@inproceedings{29455,
  author       = {{Leyendecker, S. and Ober-Blöbaum, Sina}},
  booktitle    = {{Proceedings of Oberwolfach Reports ''Applied Dynamics and Geometric Mechanics''}},
  location     = {{Oberwolfach, Germany}},
  title        = {{{A variational approach to multirate integration for constrained systems}}},
  year         = {{2011}},
}

@article{29410,
  author       = {{Ober-Blöbaum, Sina and Junge, O. and Marsden, J. E.}},
  journal      = {{Control, Optimisation and Calculus of Variations}},
  pages        = {{322--352}},
  title        = {{{Discrete mechanics and optimal control: an analysis}}},
  volume       = {{17(2)}},
  year         = {{2011}},
}

@inproceedings{29456,
  author       = {{Leyendecker, S. and Ober-Blöbaum, Sina}},
  booktitle    = {{Paul Fisette and Jean-Claude Samin, editors, ECCOMAS Thematic Conference: Multibody Dynamics: Computational Methods and Applications}},
  location     = {{Brussels, Belgium}},
  title        = {{{A variational approach to multirate integration for constrained systems}}},
  year         = {{2011}},
}

@inproceedings{29458,
  author       = {{Flaßkamp, K. and Ober-Blöbaum, Sina and Ringkamp, M. and Schneider, T. and Schulte, C. and Böcker, J.}},
  booktitle    = {{8. Paderborner Workshop Entwurf mechatronischer Systeme}},
  location     = {{Paderborn, Germany}},
  publisher    = {{Heinz Nixdorf Institut Verlagsschriftreihe}},
  title        = {{{Berechnung optimaler Stromprofile für einen 6-phasigen, geschalteten Reluktanzantrieb}}},
  year         = {{2011}},
}

@inproceedings{29493,
  author       = {{Leyendecker, S. and Ober-Blöbaum, Sina}},
  booktitle    = {{Proceedings of Applied Mathematics and Mechanics}},
  pages        = {{53--54}},
  title        = {{{Variational multirate integration of constrained dynamics}}},
  volume       = {{11(1)}},
  year         = {{2011}},
}

@inproceedings{29494,
  author       = {{Ober-Blöbaum, Sina and Tao, M. and Owhadi, H.}},
  booktitle    = {{Proceedings of Applied Mathematics and Mechanics}},
  pages        = {{783--784}},
  title        = {{{Variational integrators for electric circuits}}},
  volume       = {{11(1)}},
  year         = {{2011}},
}

@inproceedings{29464,
  author       = {{Moore, A. and Ober-Blöbaum, Sina and Marsden, J.E.}},
  booktitle    = {{21st AAS/AIAA Space Flight Mechanics Meeting}},
  location     = {{New Orleans, Lousiana, USA}},
  title        = {{{Mesh refinement strategies for spacecraft trajectory optimization using discrete mechanics and optimal control}}},
  year         = {{2011}},
}

@article{45932,
  author       = {{Kovács, Balázs}},
  issn         = {{1895-1074}},
  journal      = {{Central European Journal of Mathematics}},
  keywords     = {{General Mathematics}},
  number       = {{1}},
  pages        = {{217--230}},
  publisher    = {{Walter de Gruyter GmbH}},
  title        = {{{A comparison of some efficient numerical methods for a nonlinear elliptic problem}}},
  doi          = {{10.2478/s11533-011-0071-6}},
  volume       = {{10}},
  year         = {{2011}},
}

@article{34885,
  abstract     = {{We prove that the distribution of the values of the 4-rank of ideal class groups of quadratic fields is not affected when it is weighted by a divisor type function. We then give several applications concerning a new lower bound of the sums of class numbers of real quadratic fields with discriminant less than a bound tending to infinity and several questions of P. Sarnak concerning reciprocal geodesics.}},
  author       = {{Fouvry, Étienne and Klüners, Jürgen}},
  issn         = {{1687-0247}},
  journal      = {{International Mathematics Research Notices}},
  keywords     = {{General Mathematics}},
  number       = {{16}},
  pages        = {{3618--3656}},
  publisher    = {{Oxford University Press (OUP)}},
  title        = {{{Weighted Distribution of the 4-rank of Class Groups and Applications}}},
  doi          = {{10.1093/imrn/rnq223}},
  volume       = {{2011}},
  year         = {{2011}},
}

@article{34846,
  abstract     = {{Given a field extension K/k of degree n we are interested in finding the subfields of K containing k. There can be more than polynomially many subfields. We introduce the notion of generating subfields, a set of up to n subfields whose intersections give the rest. We provide an efficient algorithm which uses linear algebra in k or lattice reduction along with factorization in any extension of K. Implementations show that previously difficult cases can now be handled.}},
  author       = {{van Hoeij, Mark and Klüners, Jürgen and Novocin, Andrew}},
  issn         = {{0747-7171}},
  journal      = {{Journal of Symbolic Computation}},
  keywords     = {{Computational Mathematics, Algebra and Number Theory}},
  pages        = {{17--34}},
  publisher    = {{Elsevier BV}},
  title        = {{{Generating subfields}}},
  doi          = {{10.1016/j.jsc.2012.05.010}},
  volume       = {{52}},
  year         = {{2011}},
}

@article{42798,
  abstract     = {{This paper classifies the maximal finite subgroups of SP₂ₙ(Q) for 1⩽n⩽11 up to GL₂ₙ(Q) conjugacy in .}},
  author       = {{Kirschmer, Markus}},
  issn         = {{1058-6458}},
  journal      = {{Experimental Mathematics}},
  keywords     = {{General Mathematics}},
  number       = {{2}},
  pages        = {{217--228}},
  publisher    = {{Informa UK Limited}},
  title        = {{{Finite Symplectic Matrix Groups}}},
  doi          = {{10.1080/10586458.2011.564964}},
  volume       = {{20}},
  year         = {{2011}},
}

@inbook{16575,
  author       = {{Dellnitz, Michael and Padberg, Kathrin and Preis, Robert and Thiere, Bianca}},
  booktitle    = {{Nonlinear Science and Complexity}},
  isbn         = {{9789048198832}},
  title        = {{{Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem}}},
  doi          = {{10.1007/978-90-481-9884-9_12}},
  year         = {{2010}},
}

