@article{29404,
  author       = {{Ober-Blöbaum, Sina and Saake, N.}},
  journal      = {{Advances in Computational Mathematics}},
  pages        = {{1--32}},
  title        = {{{Construction and analysis of higher order Galerkin variational integrators}}},
  year         = {{2014}},
}

@inbook{20080,
  author       = {{Anacker, H. and Dellnitz, M. and Flaßkamp, K. and Grocsbrink, S. and Hartmann, P. and Heinzemann, C. and Horenkamp, C. and Kleinjohann, B. and Korf, S. and Krüger, M. and Müller, W. and Ober-Blöbaum, Sina and Oberthür, S. and Porrmann, M. and Priesterjahn, C. and Radkowski, R. and Rasche, C. and Rieke, J. and Ringkamp, M. and Stahl, K. and Steenken, D. and Stöcklein, J. and Timmermann, R. and Trächtler, A. and Witting, K. and Xie, T. and Ziegert, S.}},
  booktitle    = {{Jürgen Gausemeier, Franz Josef Rammig, and Wilhelm Schäfer, editors, Design Methodology for Intelligent Technical Systems}},
  isbn         = {{978-3-642-45434-9}},
  pages        = {{183--350}},
  publisher    = {{Springer Berlin Heidelberg}},
  title        = {{{Methods for the Design and Development}}},
  doi          = {{10.1007/978-3-642-45435-6_5}},
  year         = {{2014}},
}

@inbook{29417,
  author       = {{Dangelmeier, W. and Dellnitz, M. and Dorociak, R. and Flaßkamp, K. and Gausemeier, J. and Groesbrink, S. and Hartmann, P. and Heinzemann, C. and Hölscher, C. and Iwanek, P. and Keßler, J.H. and Kleinjohann, B. and Kleinjohann, L. and Korf, S. and Krüger, M. and Meyer, T. and Müller, W. and Ober-Blöbaum, Sina and Porrmann, M. and Priesterjahn, C. and Rammig, F.J. and Rasche, C. and Reinold, P. and Schäfer, W. and Seifried, A. and Sextro, W. and Sondermann-Woelke, C. and Stahl, K. and Steenken, D. and Timmermann, R. and Trächtler, A.  and Vaßholz, M. and Wehrheim, H. and Witting, K. and Xie, T. and Zhao, Y. and Ziegert, S. and Zimmer, D.}},
  booktitle    = {{Lecture Notes in Mechanical Engineering}},
  publisher    = {{Springer}},
  title        = {{{Dependability of Self-optimizing Mechatronic Systems}}},
  year         = {{2014}},
}

@inbook{29416,
  author       = {{Dellnitz, M. and Dumitrescu, R.  and Flaßkamp, K. and Gausemeier, J. and Hartmann, P. and Iwanek, P. and Korf, S. and Krüger, M. and Ober-Blöbaum, Sina and Porrmann, M. and Priesterjahn, C. and Stahl, K. and Trächtler, A. and Vaßholz, M.}},
  booktitle    = {{Jürgen Gausemeier, Franz Josef Rammig, and Wilhelm Schäfer, editors, Design Methodology for Intelligent Technical Systems}},
  pages        = {{1--25}},
  publisher    = {{Springer}},
  title        = {{{The paradigm of self-optimization}}},
  year         = {{2014}},
}

@inbook{29414,
  author       = {{Leitz, T. and Ober-Blöbaum, Sina and Leyendecker, S.}},
  booktitle    = {{Zdravko Terze, Multibody Dynamics}},
  pages        = {{175--203}},
  publisher    = {{Springer International Publishing}},
  title        = {{{Variational Lie group formulation of geometrically exact beam dynamics: Synchronous and asynchronous integration}}},
  volume       = {{35}},
  year         = {{2014}},
}

@article{45935,
  author       = {{Axelsson, Owe and Karátson, János and Kovács, Balázs}},
  issn         = {{0036-1429}},
  journal      = {{SIAM Journal on Numerical Analysis}},
  keywords     = {{Numerical Analysis, Applied Mathematics, Computational Mathematics}},
  number       = {{6}},
  pages        = {{2957--2976}},
  publisher    = {{Society for Industrial & Applied Mathematics (SIAM)}},
  title        = {{{Robust Preconditioning Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincaré--Friedrichs Inequality}}},
  doi          = {{10.1137/130940268}},
  volume       = {{52}},
  year         = {{2014}},
}

@article{45934,
  author       = {{Kovács, Balázs}},
  issn         = {{0862-7940}},
  journal      = {{Applications of Mathematics}},
  keywords     = {{Applied Mathematics}},
  number       = {{5}},
  pages        = {{489--508}},
  publisher    = {{Institute of Mathematics, Czech Academy of Sciences}},
  title        = {{{On the numerical performance of a sharp a posteriori error estimator for some nonlinear elliptic problems}}},
  doi          = {{10.1007/s10492-014-0068-0}},
  volume       = {{59}},
  year         = {{2014}},
}

@article{34845,
  abstract     = {{Computational Galois theory, in particular the problem of computing the Galois group of a given polynomial, is a very old problem. Currently, the best algorithmic solution is Stauduhar’s method. Computationally, one of the key challenges in the application of Stauduhar’s method is to find, for a given pair of groups H<G, a G-relative H-invariant, that is a multivariate polynomial F that is H-invariant, but not G-invariant. While generic, theoretical methods are known to find such F, in general they yield impractical answers. We give a general method for computing invariants of large degree which improves on previous known methods, as well as various special invariants that are derived from the structure of the groups. We then apply our new invariants to the task of computing the Galois groups of polynomials over the rational numbers, resulting in the first practical degree independent algorithm.}},
  author       = {{Fieker, Claus and Klüners, Jürgen}},
  issn         = {{1461-1570}},
  journal      = {{LMS Journal of Computation and Mathematics}},
  keywords     = {{Computational Theory and Mathematics, General Mathematics}},
  number       = {{1}},
  pages        = {{141--158}},
  publisher    = {{Wiley}},
  title        = {{{Computation of Galois groups of rational polynomials}}},
  doi          = {{10.1112/s1461157013000302}},
  volume       = {{17}},
  year         = {{2014}},
}

@article{42793,
  abstract     = {{Suppose Q is a definite quadratic form on a vector space V over some totally real field K ≠ Q. Then the maximal integral Zₖ-lattices in (V,Q) are locally isometric everywhere and hence form a single genus. We enumerate all orthogonal spaces (V,Q) of dimension at least 3, where the corresponding genus of maximal integral lattices consists of a single isometry class. It turns out, there are 471 such genera. Moreover, the dimension of V and the degree of K are bounded by 6 and 5 respectively. This classification also yields all maximal quaternion orders of type number one.}},
  author       = {{Kirschmer, Markus}},
  issn         = {{0022-314X}},
  journal      = {{Journal of Number Theory}},
  keywords     = {{Algebra and Number Theory}},
  pages        = {{375--393}},
  publisher    = {{Elsevier BV}},
  title        = {{{One-class genera of maximal integral quadratic forms}}},
  doi          = {{10.1016/j.jnt.2013.10.007}},
  volume       = {{136}},
  year         = {{2014}},
}

@article{42801,
  abstract     = {{We exhibit a practical algorithm for solving the constructive membership problem for discrete free subgroups of rank 2 in PSL₂(R) or SL₂(R). This algorithm, together with methods for checking whether a two-generator subgroup of PSL₂(R) or SL₂(R) is discrete and free, have been implemented in Magma for groups defined over real algebraic number fields.}},
  author       = {{Kirschmer, Markus and LEEDHAM-GREEN, CHARLES}},
  issn         = {{0017-0895}},
  journal      = {{Glasgow Mathematical Journal}},
  keywords     = {{General Mathematics}},
  number       = {{1}},
  pages        = {{173--180}},
  publisher    = {{Cambridge University Press (CUP)}},
  title        = {{{Computing with subgroups of the modular group }}},
  doi          = {{10.1017/s0017089514000202}},
  volume       = {{57}},
  year         = {{2014}},
}

@article{42794,
  abstract     = {{We exhibit a practical algorithm for solving the constructive membership problem for discrete free subgroups of rank 2 in PSL₂(R) or SL₂(R). This algorithm, together with methods for checking whether a two-generator subgroup of PSL₂(R) or SL₂(R) is discrete and free, have been implemented in Magma for groups defined over real algebraic number fields.}},
  author       = {{Eick, B. and Kirschmer, Markus and Leedham-Green, C.}},
  issn         = {{1461-1570}},
  journal      = {{LMS Journal of Computation and Mathematics}},
  keywords     = {{Computational Theory and Mathematics, General Mathematics}},
  number       = {{1}},
  pages        = {{345--359}},
  publisher    = {{Wiley}},
  title        = {{{The constructive membership problem for discrete free subgroups of rank 2 of SL₂(R)}}},
  doi          = {{10.1112/s1461157014000047}},
  volume       = {{17}},
  year         = {{2014}},
}

@article{21935,
  author       = {{Noé, Frank and Nüske, Feliks}},
  issn         = {{1540-3459}},
  journal      = {{Multiscale Modeling & Simulation}},
  pages        = {{635--655}},
  title        = {{{A Variational Approach to Modeling Slow Processes in Stochastic Dynamical Systems}}},
  doi          = {{10.1137/110858616}},
  year         = {{2013}},
}

@article{16583,
  author       = {{Demoures, Francois and Gay-Balmaz, Francois and Leitz, Thomas and Leyendecker, Sigrid and Ober-Blöbaum, Sina and Ratiu, Tudor S.}},
  issn         = {{1617-7061}},
  journal      = {{PAMM}},
  pages        = {{45--46}},
  title        = {{{Asynchronous variational Lie group integration for geometrically exact beam dynamics}}},
  doi          = {{10.1002/pamm.201310018}},
  year         = {{2013}},
}

@inproceedings{16594,
  author       = {{Flasskamp, Kathrin and Murphey, Todd and Ober-Blobaum, Sina}},
  booktitle    = {{2013 European Control Conference (ECC)}},
  isbn         = {{9783033039629}},
  title        = {{{Discretized switching time optimization problems}}},
  doi          = {{10.23919/ecc.2013.6669577}},
  year         = {{2013}},
}

@article{16595,
  author       = {{Flaßkamp, Kathrin and Murphey, Todd and Ober-Blöbaum, Sina}},
  issn         = {{1617-7061}},
  journal      = {{PAMM}},
  pages        = {{401--402}},
  title        = {{{Optimization for discretized switched systems}}},
  doi          = {{10.1002/pamm.201310196}},
  year         = {{2013}},
}

@inbook{16599,
  author       = {{Froyland, Gary}},
  booktitle    = {{Equadiff 99}},
  isbn         = {{9789810243593}},
  title        = {{{Markov modelling for random dynamical systems}}},
  doi          = {{10.1142/9789812792617_0200}},
  year         = {{2013}},
}

@article{16608,
  author       = {{Gail, Tobias and Leyendecker, Sigrid and Ober-Blöbaum, Sina}},
  issn         = {{1617-7061}},
  journal      = {{PAMM}},
  pages        = {{43--44}},
  title        = {{{Computing time investigations for variational multirate integration}}},
  doi          = {{10.1002/pamm.201310017}},
  year         = {{2013}},
}

@inproceedings{16643,
  author       = {{Ober-Blöbaum, Sina and Seifried, Albert}},
  booktitle    = {{2013 European Control Conference (ECC)}},
  isbn         = {{9783033039629}},
  title        = {{{A multiobjective optimization approach for optimal control problems of mechanical systems with uncertainties}}},
  doi          = {{10.23919/ecc.2013.6669594}},
  year         = {{2013}},
}

@inbook{16670,
  author       = {{Schütze, Oliver and Witting, Katrin and Ober-Blöbaum, Sina and Dellnitz, Michael}},
  booktitle    = {{EVOLVE- A Bridge between Probability, Set Oriented Numerics and Evolutionary Computation}},
  isbn         = {{9783642327254}},
  issn         = {{1860-949X}},
  title        = {{{Set Oriented Methods for the Numerical Treatment of Multiobjective Optimization Problems}}},
  doi          = {{10.1007/978-3-642-32726-1_5}},
  year         = {{2013}},
}

@inproceedings{16672,
  author       = {{Specht, Andreas and Ober-Blobaum, Sina and Wallscheid, Oliver and Romaus, Christoph and Bocker, Joachim}},
  booktitle    = {{2013 International Electric Machines & Drives Conference}},
  isbn         = {{9781467349741}},
  title        = {{{Discrete-time model of an IPMSM based on variational integrators}}},
  doi          = {{10.1109/iemdc.2013.6556322}},
  year         = {{2013}},
}