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458 Publications
2012 | Journal Article | LibreCat-ID: 16696
A. Zanzottera, G. Mingotti, R. Castelli, and M. Dellnitz, “Intersecting invariant manifolds in spatial restricted three-body problems: Design and optimization of Earth-to-halo transfers in the Sun–Earth–Moon scenario,” Communications in Nonlinear Science and Numerical Simulation, pp. 832–843, 2012.
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| DOI
2012 | Journal Article | LibreCat-ID: 10171
E. Steffen, “Nearly nowhere-zero r-flow graphs,” Discrete Mathematics, vol. 312, pp. 2757–2759, 2012.
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2012 | Conference Paper | LibreCat-ID: 29452
S. Ober-Blöbaum, M. Ringkamp, and G. zum Felde, “Solving multiobjective optimal control problems in space mission design using discrete mechanics and reference point techniques,” in 51st IEEE International Conference on Decision and Control, Maui, USA, 2012, pp. 5711–5716.
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2012 | Journal Article | LibreCat-ID: 29409
M. Ringkamp, S. Ober-Blöbaum, M. Dellnitz, and O. Schütze, “Handling high dimensional problems with multi-objective continuation methods via successive approximation of the tangent space,” Engineering Optimization, vol. 44(6), pp. 1117–1146, 2012.
LibreCat
2012 | Journal Article | LibreCat-ID: 29407
A. Moore, S. Ober-Blöbaum, and J. E. Marsden, “Trajectory design combining invariant manifolds with discrete mechanics and optimal control,” Journal of Guidance, Control, and Dynamics, vol. 35(5), pp. 1507–1525, 2012.
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2012 | Conference Paper | LibreCat-ID: 29451
K. Flaßkamp, T. Murphey, and S. Ober-Blöbaum, “Switching time optimization in discretized hybrid dynamical systems,” in 51st IEEE International Conference on Decision and Control, Maui, USA, 2012, pp. 707–712.
LibreCat
2012 | Conference Paper | LibreCat-ID: 29450
K. Flaßkamp and S. Ober-Blöbaum, “Motion planning for mechanical systems with hybrid dynamics,” 2012.
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2012 | Conference Paper | LibreCat-ID: 29453
C. M. Campos, O. Junge, and S. Ober-Blöbaum, “Higher order variational time discretization of optimal control problems,” 2012.
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2012 | Conference Paper | LibreCat-ID: 29454
K. Flaßkamp and S. Ober-Blöbaum, “Energy efficient control for mechanical systems based on inherent dynamical structures,” in American Control Conference, Montreal, Canada, 2012, pp. 2609–2614.
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2012 | Journal Article | LibreCat-ID: 34847
J. Klüners, “The Distribution of Number Fields with Wreath Products as Galois Groups ,” International Journal of Number Theory, vol. 08, no. 03, pp. 845–858, 2012, doi: 10.1142/s1793042112500492.
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| DOI
| arXiv
2012 | Journal Article | LibreCat-ID: 42797
M. Kirschmer, “A normal form for definite quadratic forms over $\mathbb{F}_{q}[t]$,” Mathematics of Computation, vol. 81, no. 279, pp. 1619–1634, 2012, doi: 10.1090/s0025-5718-2011-02570-6.
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| DOI
2012 | Journal Article | LibreCat-ID: 45933
J. Karátson and B. Kovács, “Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation,” Computers & Mathematics with Applications, vol. 65, no. 3, pp. 449–459, 2012, doi: 10.1016/j.camwa.2012.04.021.
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| DOI
2011 | Conference Paper | LibreCat-ID: 29457
S. Ober-Blöbaum, “Discrete mechanics and optimal control: Structure preserving integration for the optimal control of mechanical systems,” 2011.
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2011 | Conference Paper | LibreCat-ID: 29455
S. Leyendecker and S. Ober-Blöbaum, “A variational approach to multirate integration for constrained systems,” Oberwolfach, Germany, 2011.
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2011 | Journal Article | LibreCat-ID: 29410
S. Ober-Blöbaum, O. Junge, and J. E. Marsden, “Discrete mechanics and optimal control: an analysis,” Control, Optimisation and Calculus of Variations, vol. 17(2), pp. 322–352, 2011.
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2011 | Conference Paper | LibreCat-ID: 29456
S. Leyendecker and S. Ober-Blöbaum, “A variational approach to multirate integration for constrained systems,” Brussels, Belgium, 2011.
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2011 | Conference Paper | LibreCat-ID: 29458
K. Flaßkamp, S. Ober-Blöbaum, M. Ringkamp, T. Schneider, C. Schulte, and J. Böcker, “Berechnung optimaler Stromprofile für einen 6-phasigen, geschalteten Reluktanzantrieb,” Paderborn, Germany, 2011.
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2011 | Conference Paper | LibreCat-ID: 29493
S. Leyendecker and S. Ober-Blöbaum, “Variational multirate integration of constrained dynamics,” in Proceedings of Applied Mathematics and Mechanics, 2011, vol. 11(1), pp. 53–54.
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2011 | Conference Paper | LibreCat-ID: 29494
S. Ober-Blöbaum, M. Tao, and H. Owhadi, “Variational integrators for electric circuits,” in Proceedings of Applied Mathematics and Mechanics, 2011, vol. 11(1), pp. 783–784.
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2011 | Conference Paper | LibreCat-ID: 29464
A. Moore, S. Ober-Blöbaum, and J. E. Marsden, “Mesh refinement strategies for spacecraft trajectory optimization using discrete mechanics and optimal control,” New Orleans, Lousiana, USA, 2011.
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2011 | Journal Article | LibreCat-ID: 34885
É. Fouvry and J. Klüners, “Weighted Distribution of the 4-rank of Class Groups and Applications,” International Mathematics Research Notices, vol. 2011, no. 16, pp. 3618–3656, 2011, doi: 10.1093/imrn/rnq223.
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| DOI
2011 | Journal Article | LibreCat-ID: 34846
M. van Hoeij, J. Klüners, and A. Novocin, “Generating subfields,” Journal of Symbolic Computation, vol. 52, pp. 17–34, 2011, doi: 10.1016/j.jsc.2012.05.010.
LibreCat
| DOI
2011 | Journal Article | LibreCat-ID: 42798
M. Kirschmer, “Finite Symplectic Matrix Groups,” Experimental Mathematics, vol. 20, no. 2, pp. 217–228, 2011, doi: 10.1080/10586458.2011.564964.
LibreCat
| DOI
2011 | Journal Article | LibreCat-ID: 45932
B. Kovács, “A comparison of some efficient numerical methods for a nonlinear elliptic problem,” Central European Journal of Mathematics, vol. 10, no. 1, pp. 217–230, 2011, doi: 10.2478/s11533-011-0071-6.
LibreCat
| DOI
2010 | Journal Article | LibreCat-ID: 29411
S. Leyendecker, S. Ober-Blöbaum, J. E. Marsden, and M. Ortiz, “Discrete mechanics and optimal control for constrained systems,” Optimal Control, Applications and Methods, vol. 31(6), pp. 505–528, 2010.
LibreCat
2010 | Conference Paper | LibreCat-ID: 29468
A. Moore, S. Ober-Blöbaum, and J. E. Marsden, “The effect of mesh refinement on spacecraft trajectory design using descrete mechanics and optimal control,” Paris, France, 2010.
LibreCat
2010 | Conference Paper | LibreCat-ID: 29467
B. Thiere, S. Ober-Blöbaum, and P. Pergola, “Detecting initial guesses for trajectories in the (P)CRTBP,” Toronto, Canada, USA, 2010.
LibreCat
2010 | Conference Paper | LibreCat-ID: 29496
S. Ober-Blöbaum and A. Walther, “Computation of derivatives for structure preserving optimal control using automatic differentiation,” in Proceedings of Applied Mathematics and Mechanics, 2010, vol. 10(1), pp. 585–586.
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2010 | Conference Paper | LibreCat-ID: 29495
K. Flaßkamp, S. Ober-Blöbaum, and M. Kobilarov, “Solving optimal control problems by using inherent dynamical properties,” in Proceedings of Applied Mathematics and Mechanics, 2010, vol. 10(1), pp. 577–578.
LibreCat
2010 | Journal Article | LibreCat-ID: 34886
É. Fouvry and J. Klüners, “On the negative Pell equation,” Annals of Mathematics, vol. 172, no. 3, pp. 2035–2104, 2010, doi: 10.4007/annals.2010.172.2035.
LibreCat
| DOI
2010 | Journal Article | LibreCat-ID: 34888
É. Fouvry and J. Klüners, “The parity of the period of the continued fraction of d,” Proceedings of the London Mathematical Society, vol. 101, no. 2, pp. 337–391, 2010, doi: 10.1112/plms/pdp057.
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| DOI
2010 | Journal Article | LibreCat-ID: 34887
É. Fouvry and J. Klüners, “On the Spiegelungssatz for the 4-rank,” Algebra & Number Theory, vol. 4, no. 5, pp. 493–508, 2010, doi: 10.2140/ant.2010.4.493.
LibreCat
| DOI
2010 | Journal Article | LibreCat-ID: 42803
M. Kirschmer and J. Voight, “Algorithmic Enumeration of Ideal Classes for Quaternion Orders,” SIAM Journal on Computing, vol. 39, no. 5, pp. 1714–1747, 2010, doi: 10.1137/080734467.
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| DOI