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