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458 Publications
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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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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.
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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.
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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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| 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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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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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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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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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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.
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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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2009 | Journal Article | LibreCat-ID: 16573
M. Dellnitz, G. Froyland, C. Horenkamp, K. Padberg-Gehle, and A. Sen Gupta, “Seasonal variability of the subpolar gyres in the Southern Ocean: a numerical investigation based on transfer operators,” Nonlinear Processes in Geophysics, pp. 655–663, 2009.
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2009 | Conference Paper | LibreCat-ID: 16661
C. Romaus, J. Bocker, K. Witting, A. Seifried, and O. Znamenshchykov, “Optimal energy management for a hybrid energy storage system combining batteries and double layer capacitors,” in 2009 IEEE Energy Conversion Congress and Exposition, 2009.
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2009 | Journal Article | LibreCat-ID: 29412
M. Dellnitz, S. Ober-Blöbaum, M. Post, O. Schütze, and B. Thiere, “A multi-objective approach to the design of low thrust space trajectories using optimal control,” Celestial Mechanics and Dynamical Astronomy, vol. 105, pp. 33–59, 2009.
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2009 | Conference Paper | LibreCat-ID: 29470
S. Nair, S. Ober-Blöbaum, and J. E. Marsden, “The Jacobi-Maupertuis principle in variational integrators,” in 7th International Conference of Numerical Analysis and Applied Mathematics, Rethymno, Crete, Greece, 2009, pp. 464–466.
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2009 | Conference Paper | LibreCat-ID: 29471
M. Gehler, S. Ober-Blöbaum, and B. Dachwald, “Application of discrete mechanics and optimal control to spacecraft in non-Keplerian motion around small solar systems,” Daejeon, Republic of Korea, 2009.
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2009 | Conference Paper | LibreCat-ID: 29473
A. Moore, S. Ober-Blöbaum, and J. E. Marsden, “Optimization of spacecraft trajectories: a method combining invariant manifold techniques and descrete mechanics and optimal ,” Savannah, Georgia, USA, 2009.
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2009 | Conference Paper | LibreCat-ID: 29472
M. Gehler, S. Ober-Blöbaum, B. Dachwald, and J. E. Marsden, “Optimal control of gravity tractor spacecraft near arbitrarily shaped asteroids,” Granada, Spain, 2009.
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2009 | Journal Article | LibreCat-ID: 34889
K. Belabas, M. van Hoeij, J. Klüners, and A. Steel, “Factoring polynomials over global fields,” Journal de Théorie des Nombres de Bordeaux, vol. 21, no. 1, pp. 15–39, 2009, doi: 10.5802/jtnb.655.
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| DOI
| arXiv
2009 | Book Chapter | LibreCat-ID: 35959
J. Klüners, “The van Hoeij Algorithm for Factoring Polynomials,” in The LLL Algorithm, Berlin, Heidelberg: Springer Berlin Heidelberg, 2009.
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| Files available
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2009 | Dissertation | LibreCat-ID: 43453
M. Kirschmer, Finite symplectic matrix groups (Dissertation). RWTH Aachen University, 2009.
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2008 | Conference Paper | LibreCat-ID: 16623
B. Klöpper, H. Podlogar, J. Gausemeier, and K. Witting, “Domain Spanning Search for the Identification of Solution Patterns for the Conceptual Design of Self-Optimizing Systems,” in 2008 19th International Conference on Database and Expert Systems Applications, 2008.
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2008 | Conference Paper | LibreCat-ID: 17031
J. Geisler, K. Witting, A. Trächtler, and M. Dellnitz, “Self-Optimization of the Guidance Module of a Rail-bound Vehicle,” in 7th International Heinz Nixdorf Symposium: Self-optimizing Mechatronic Systems: Designing the Future, 2008.
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2008 | Conference Paper | LibreCat-ID: 29474
W. Zhang, T. Inanc, S. Ober-Blöbaum, and J. E. Marsden, “Optimal trajectory generation for a dynamic glider in ocean flows modeled by 3d B-spline functions,” Pasadena, CA, USA, 2008.
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2007 | Conference Paper | LibreCat-ID: 16630
S. Leyendecker, S. Ober-Blöbaum, J. E. Marsden, and M. Ortiz, “Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics,” in Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2007.
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2007 | Report | LibreCat-ID: 17028
M. Vasile, O. Schütze, O. Junge, G. Radice, and M. Dellnitz, Spiral Trajectories in Global Optimisation of Interplanetary and Orbital Transfers. European Space Agency, 2007.
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2006 | Book Chapter | LibreCat-ID: 20056
M. Dellnitz, O. Junge, A. Krishnamurthy, S. Ober-Blöbaum, K. Padberg, and R. Preis, “Efficient Control of Formation Flying Spacecraft,” in Friedhelm Meyer auf der Heide and Burkhard Monien, editors, New Trends in Parallel & Distributed Computing, vol. 181, Heinz Nixdorf Institut Verlagsschriftreihe, 2006, pp. 235–247.
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2006 | Conference Paper | LibreCat-ID: 29488
O. Junge, J. E. Marsden, and S. Ober-Blöbaum, “Optimal reconfiguration of formation flying spacecraft - a decentralized approach,” in 45th IEEE Conference on Decision and Control, San Diego, CA, USA, 2006, pp. 5210–5215.
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2006 | Journal Article | LibreCat-ID: 34895
J. Klüners and G. Malle, “Counting nilpotent Galois extensions,” Journal für die reine und angewandte Mathematik (Crelles Journal), vol. 2004, no. 572, pp. 1–26, 2006, doi: 10.1515/crll.2004.050.
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| DOI
| arXiv
2006 | Journal Article | LibreCat-ID: 34891
J. Klüners, “Asymptotics of number fields and the Cohen–Lenstra heuristics,” Journal de Théorie des Nombres de Bordeaux, vol. 18, no. 3, pp. 607–615, 2006, doi: 10.5802/jtnb.561.
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| DOI
| arXiv
2006 | Journal Article | LibreCat-ID: 34890
É. Fouvry and J. Klüners, “On the 4-rank of class groups of quadratic number fields,” Inventiones mathematicae, vol. 167, no. 3, pp. 455–513, 2006, doi: 10.1007/s00222-006-0021-2.
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| Files available
| DOI
2006 | Book Chapter | LibreCat-ID: 35958
É. Fouvry and J. Klüners, “Cohen–Lenstra Heuristics of Quadratic Number Fields,” in Lecture Notes in Computer Science, Berlin, Heidelberg: Springer Berlin Heidelberg, 2006.
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