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458 Publications
2012 | Journal Article | LibreCat-ID: 16635
Meyer, A. (2012). Discontinuity Induced Bifurcations in Timed Continuous Petri Nets. IFAC Proceedings Volumes, 28–33. https://doi.org/10.3182/20121003-3-mx-4033.00008
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| DOI
2012 | Journal Article | LibreCat-ID: 16638
Meyer, A., & Silva, M. (2012). Symmetry Reductions in Timed Continuous Petri Nets Under Infinite Server Semantics. IFAC Proceedings Volumes, 153–159. https://doi.org/10.3182/20120606-3-nl-3011.00067
LibreCat
| DOI
2012 | Journal Article | LibreCat-ID: 16659
Ringkamp, M., Ober-Blöbaum, S., Dellnitz, M., & Schütze, O. (2012). Handling high-dimensional problems with multi-objective continuation methods via successive approximation of the tangent space. Engineering Optimization, 1117–1146. https://doi.org/10.1080/0305215x.2011.634407
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| DOI
2012 | Book Chapter | LibreCat-ID: 16681
Dellnitz, M., & Schütze, O. (2012). Multilevel Subdivision Techniques for Scalar Optimization Problems. In Global Analysis of Nonlinear Dynamics. New York, NY. https://doi.org/10.1007/978-1-4614-3128-2_10
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| DOI
2012 | Journal Article | LibreCat-ID: 16696
Zanzottera, A., Mingotti, G., Castelli, R., & Dellnitz, M. (2012). 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, 832–843. https://doi.org/10.1016/j.cnsns.2011.06.032
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| DOI
2012 | Book Chapter | LibreCat-ID: 17035
Dellnitz, M., Dignath, F., Flaßkamp, K., Molo, M. H., Krüger, M., Timmermann, R., & Zheng, Q. (2012). Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway. In Mathematics in Industry. Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25100-9_14
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| DOI
2012 | Journal Article | LibreCat-ID: 10171
Steffen, E. (2012). Nearly nowhere-zero r-flow graphs. Discrete Mathematics, 312, 2757–2759.
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2012 | Conference Paper | LibreCat-ID: 29452
Ober-Blöbaum, S., Ringkamp, M., & zum Felde, G. (2012). Solving multiobjective optimal control problems in space mission design using discrete mechanics and reference point techniques. 51st IEEE International Conference on Decision and Control, 5711–5716.
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2012 | Journal Article | LibreCat-ID: 29409
Ringkamp, M., Ober-Blöbaum, S., Dellnitz, M., & Schütze, O. (2012). Handling high dimensional problems with multi-objective continuation methods via successive approximation of the tangent space. Engineering Optimization, 44(6), 1117–1146.
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2012 | Journal Article | LibreCat-ID: 29407
Moore, A., Ober-Blöbaum, S., & Marsden, J. E. (2012). Trajectory design combining invariant manifolds with discrete mechanics and optimal control. Journal of Guidance, Control, and Dynamics, 35(5), 1507–1525.
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2012 | Conference Paper | LibreCat-ID: 29451
Flaßkamp, K., Murphey, T., & Ober-Blöbaum, S. (2012). Switching time optimization in discretized hybrid dynamical systems. 51st IEEE International Conference on Decision and Control, 707–712.
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2012 | Conference Paper | LibreCat-ID: 29450
Flaßkamp, K., & Ober-Blöbaum, S. (2012). Motion planning for mechanical systems with hybrid dynamics. Progress in Industrial Mathematics at ECMI 2012, Mathematics in Industry (To Appear).
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2012 | Conference Paper | LibreCat-ID: 29453
Campos, C. M., Junge, O., & Ober-Blöbaum, S. (2012). Higher order variational time discretization of optimal control problems. 20th International Symposium on Mathematical Theory of Networks and Systems.
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2012 | Conference Paper | LibreCat-ID: 29454
Flaßkamp, K., & Ober-Blöbaum, S. (2012). Energy efficient control for mechanical systems based on inherent dynamical structures. American Control Conference, 2609–2614.
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2012 | Journal Article | LibreCat-ID: 34847
Klüners, J. (2012). The Distribution of Number Fields with Wreath Products as Galois Groups . International Journal of Number Theory, 08(03), 845–858. https://doi.org/10.1142/s1793042112500492
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| DOI
| arXiv
2012 | Journal Article | LibreCat-ID: 42797
Kirschmer, M. (2012). A normal form for definite quadratic forms over $\mathbb{F}_{q}[t]$. Mathematics of Computation, 81(279), 1619–1634. https://doi.org/10.1090/s0025-5718-2011-02570-6
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| DOI
2012 | Journal Article | LibreCat-ID: 45933
Karátson, J., & Kovács, B. (2012). Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation. Computers & Mathematics with Applications, 65(3), 449–459. https://doi.org/10.1016/j.camwa.2012.04.021
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| DOI
2011 | Conference Paper | LibreCat-ID: 16588
Flaßkamp, K., & Ober-Blöbaum, S. (2011). Variational formulation and optimal control of hybrid lagrangian systems. In Proceedings of the 14th international conference on Hybrid systems: computation and control - HSCC ’11. https://doi.org/10.1145/1967701.1967736
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| DOI
2011 | Journal Article | LibreCat-ID: 16624
Klus, S., Sahai, T., Liu, C., & Dellnitz, M. (2011). An efficient algorithm for the parallel solution of high-dimensional differential equations. Journal of Computational and Applied Mathematics, 3053–3062. https://doi.org/10.1016/j.cam.2010.12.026
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| DOI
2011 | Journal Article | LibreCat-ID: 16629
Krüger, M., Witting, K., Trächtler, A., & Dellnitz, M. (2011). Parametric Model-Order Reduction in Hierarchical Multiobjective Optimization of Mechatronic Systems*. IFAC Proceedings Volumes, 12611–12619. https://doi.org/10.3182/20110828-6-it-1002.02487
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| DOI
2011 | Journal Article | LibreCat-ID: 16639
Meyer, A., Dellnitz, M., & Hessel-von Molo, M. (2011). Symmetries in timed continuous Petri nets. Nonlinear Analysis: Hybrid Systems, 125–135. https://doi.org/10.1016/j.nahs.2010.05.005
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| DOI
2011 | Journal Article | LibreCat-ID: 17034
Hage-Packhäuser, S., & Dellnitz, M. (2011). Stabilization via symmetry switching in hybrid dynamical systems. Discrete & Continuous Dynamical Systems - B, 16(1), 239–263. https://doi.org/10.3934/dcdsb.2011.16.239
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| DOI
2011 | Conference Paper | LibreCat-ID: 29457
Ober-Blöbaum, S. (2011). Discrete mechanics and optimal control: Structure preserving integration for the optimal control of mechanical systems. Proceedings of Oberwolfach Reports “‘Geometric Numerical Integration.’”
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2011 | Conference Paper | LibreCat-ID: 29455
Leyendecker, S., & Ober-Blöbaum, S. (2011). A variational approach to multirate integration for constrained systems. Proceedings of Oberwolfach Reports “‘Applied Dynamics and Geometric Mechanics.’”
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2011 | Journal Article | LibreCat-ID: 29410
Ober-Blöbaum, S., Junge, O., & Marsden, J. E. (2011). Discrete mechanics and optimal control: an analysis. Control, Optimisation and Calculus of Variations, 17(2), 322–352.
LibreCat
2011 | Conference Paper | LibreCat-ID: 29456
Leyendecker, S., & Ober-Blöbaum, S. (2011). A variational approach to multirate integration for constrained systems. Paul Fisette and Jean-Claude Samin, Editors, ECCOMAS Thematic Conference: Multibody Dynamics: Computational Methods and Applications.
LibreCat
2011 | Conference Paper | LibreCat-ID: 29458
Flaßkamp, K., Ober-Blöbaum, S., Ringkamp, M., Schneider, T., Schulte, C., & Böcker, J. (2011). Berechnung optimaler Stromprofile für einen 6-phasigen, geschalteten Reluktanzantrieb. 8. Paderborner Workshop Entwurf Mechatronischer Systeme.
LibreCat
2011 | Conference Paper | LibreCat-ID: 29493
Leyendecker, S., & Ober-Blöbaum, S. (2011). Variational multirate integration of constrained dynamics. Proceedings of Applied Mathematics and Mechanics, 11(1), 53–54.
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2011 | Conference Paper | LibreCat-ID: 29494
Ober-Blöbaum, S., Tao, M., & Owhadi, H. (2011). Variational integrators for electric circuits. Proceedings of Applied Mathematics and Mechanics, 11(1), 783–784.
LibreCat
2011 | Conference Paper | LibreCat-ID: 29464
Moore, A., Ober-Blöbaum, S., & Marsden, J. E. (2011). Mesh refinement strategies for spacecraft trajectory optimization using discrete mechanics and optimal control. 21st AAS/AIAA Space Flight Mechanics Meeting.
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2011 | Journal Article | LibreCat-ID: 34885
Fouvry, É., & Klüners, J. (2011). Weighted Distribution of the 4-rank of Class Groups and Applications. International Mathematics Research Notices, 2011(16), 3618–3656. https://doi.org/10.1093/imrn/rnq223
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| DOI
2011 | Journal Article | LibreCat-ID: 34846
van Hoeij, M., Klüners, J., & Novocin, A. (2011). Generating subfields. Journal of Symbolic Computation, 52, 17–34. https://doi.org/10.1016/j.jsc.2012.05.010
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| DOI
2011 | Journal Article | LibreCat-ID: 42798
Kirschmer, M. (2011). Finite Symplectic Matrix Groups. Experimental Mathematics, 20(2), 217–228. https://doi.org/10.1080/10586458.2011.564964
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| DOI
2011 | Journal Article | LibreCat-ID: 45932
Kovács, B. (2011). A comparison of some efficient numerical methods for a nonlinear elliptic problem. Central European Journal of Mathematics, 10(1), 217–230. https://doi.org/10.2478/s11533-011-0071-6
LibreCat
| DOI
2010 | Book Chapter | LibreCat-ID: 16575
Dellnitz, M., Padberg, K., Preis, R., & Thiere, B. (2010). Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem. In Nonlinear Science and Complexity. Dordrecht. https://doi.org/10.1007/978-90-481-9884-9_12
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| DOI
2010 | Journal Article | LibreCat-ID: 16590
Flaßkamp, K., Ober-Blöbaum, S., & Kobilarov, M. (2010). Solving optimal control problems by using inherent dynamical properties. PAMM, 577–578. https://doi.org/10.1002/pamm.201010281
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| DOI
2010 | Journal Article | LibreCat-ID: 16673
Tantardini, M., Fantino, E., Ren, Y., Pergola, P., Gómez, G., & Masdemont, J. J. (2010). Spacecraft trajectories to the L3 point of the Sun–Earth three-body problem. Celestial Mechanics and Dynamical Astronomy, 215–232. https://doi.org/10.1007/s10569-010-9299-x
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| DOI
2010 | Conference Paper | LibreCat-ID: 16675
Thiere, B., Ober-Blöbaum, S., & Pergola, P. (2010). Detecting Initial Guesses for Trajectories in the (P)CRTBP. In AIAA/AAS Astrodynamics Specialist Conference. https://doi.org/10.2514/6.2010-7962
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| DOI
2010 | Journal Article | LibreCat-ID: 29411
Leyendecker, S., Ober-Blöbaum, S., Marsden, J. E., & Ortiz, M. (2010). Discrete mechanics and optimal control for constrained systems. Optimal Control, Applications and Methods, 31(6), 505–528.
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2010 | Conference Paper | LibreCat-ID: 29468
Moore, A., Ober-Blöbaum, S., & Marsden, J. E. (2010). The effect of mesh refinement on spacecraft trajectory design using descrete mechanics and optimal control. 4th European Conference on Computational Mechanics .
LibreCat
2010 | Conference Paper | LibreCat-ID: 29467
Thiere, B., Ober-Blöbaum, S., & Pergola, P. (2010). Detecting initial guesses for trajectories in the (P)CRTBP. AIAA/AAS Astrodynamics Specialist Conference.
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2010 | Conference Paper | LibreCat-ID: 29496
Ober-Blöbaum, S., & Walther, A. (2010). Computation of derivatives for structure preserving optimal control using automatic differentiation. Proceedings of Applied Mathematics and Mechanics, 10(1), 585–586.
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2010 | Conference Paper | LibreCat-ID: 29495
Flaßkamp, K., Ober-Blöbaum, S., & Kobilarov, M. (2010). Solving optimal control problems by using inherent dynamical properties. Proceedings of Applied Mathematics and Mechanics, 10(1), 577–578.
LibreCat
2010 | Journal Article | LibreCat-ID: 34886
Fouvry, É., & Klüners, J. (2010). On the negative Pell equation. Annals of Mathematics, 172(3), 2035–2104. https://doi.org/10.4007/annals.2010.172.2035
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| DOI
2010 | Journal Article | LibreCat-ID: 34888
Fouvry, É., & Klüners, J. (2010). The parity of the period of the continued fraction of d. Proceedings of the London Mathematical Society, 101(2), 337–391. https://doi.org/10.1112/plms/pdp057
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| Files available
| DOI
2010 | Journal Article | LibreCat-ID: 34887
Fouvry, É., & Klüners, J. (2010). On the Spiegelungssatz for the 4-rank. Algebra & Number Theory, 4(5), 493–508. https://doi.org/10.2140/ant.2010.4.493
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| DOI
2010 | Journal Article | LibreCat-ID: 42803
Kirschmer, M., & Voight, J. (2010). Algorithmic Enumeration of Ideal Classes for Quaternion Orders. SIAM Journal on Computing, 39(5), 1714–1747. https://doi.org/10.1137/080734467
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| DOI
2009 | Journal Article | LibreCat-ID: 16499
Biasco, L., & Di Gregorio, L. (2009). A Birkhoff–Lewis Type Theorem for the Nonlinear Wave Equation. Archive for Rational Mechanics and Analysis, 303–362. https://doi.org/10.1007/s00205-009-0240-y
LibreCat
| DOI
2009 | Conference Paper | LibreCat-ID: 16524
Blesken, M., Ruckert, U., Steenken, D., Witting, K., & Dellnitz, M. (2009). Multiobjective optimization for transistor sizing of CMOS logic standard cells using set-oriented numerical techniques. In 2009 NORCHIP. https://doi.org/10.1109/norchp.2009.5397800
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| DOI
2009 | Journal Article | LibreCat-ID: 16545
Dellnitz, M., & Witting, K. (2009). Computation of robust Pareto points. International Journal of Computing Science and Mathematics. https://doi.org/10.1504/ijcsm.2009.027876
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| DOI