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458 Publications
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2016 | Conference Paper | LibreCat-ID: 29433
S. Peitz, S. Ober-Blöbaum, and M. Dellnitz, “Reduced order model based multiobjective optimal control of fluids,” 2016.
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2016 | Conference Paper | LibreCat-ID: 29436
B. Stellato, S. Ober-Blöbaum, and P. J. Goulart, “Optimal control of switching times in switched linear systems,” in 2016 IEEE 55th Conference on Decision and Control (CDC), 2016, pp. 7228–7233.
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2016 | Journal Article | LibreCat-ID: 34844
J. Klüners and F. Nicolae, “Are number fields determined by Artin L-functions?,” Journal of Number Theory, vol. 167, pp. 161–168, 2016, doi: 10.1016/j.jnt.2016.03.023.
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| DOI
| arXiv
2016 | Journal Article | LibreCat-ID: 42792
M. Kirschmer and D. Lorch, “Ternary quadratic forms over number fields with small class number,” Journal of Number Theory, vol. 161, pp. 343–361, 2016, doi: 10.1016/j.jnt.2014.11.001.
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| DOI
2016 | Misc | LibreCat-ID: 43454
M. Kirschmer, Definite quadratic and hermitian forms with small class number (Habilitation). RWTH Aachen University, 2016.
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2016 | Journal Article | LibreCat-ID: 45944
B. Kovács and C. A. Power Guerra, “Higher order time discretizations with ALE finite elements for parabolic problems on evolving surfaces,” IMA Journal of Numerical Analysis, vol. 38, no. 1, pp. 460–494, 2016, doi: 10.1093/imanum/drw074.
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| DOI
2016 | Journal Article | LibreCat-ID: 45936
B. Kovács and C. A. Power Guerra, “Error analysis for full discretizations of quasilinear parabolic problems on evolving surfaces,” Numerical Methods for Partial Differential Equations, vol. 32, no. 4, pp. 1200–1231, 2016, doi: 10.1002/num.22047.
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| DOI
2016 | Journal Article | LibreCat-ID: 45939
B. Kovács, B. Li, and C. Lubich, “A-Stable Time Discretizations Preserve Maximal Parabolic Regularity,” SIAM Journal on Numerical Analysis, vol. 54, no. 6, pp. 3600–3624, 2016, doi: 10.1137/15m1040918.
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| DOI
2016 | Journal Article | LibreCat-ID: 45937
B. Kovács and C. Lubich, “Numerical analysis of parabolic problems with dynamic boundary conditions,” IMA Journal of Numerical Analysis, vol. 37, no. 1, pp. 1–39, 2016, doi: 10.1093/imanum/drw015.
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| DOI
2016 | Conference Paper | LibreCat-ID: 45938
J. Karátson and B. Kovács, “A Parallel Numerical Solution Approach for Nonlinear Parabolic Systems Arising in Air Pollution Transport Problems,” in Mathematical Problems in Meteorological Modelling, 2016, pp. 57–70.
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2015 | Journal Article | LibreCat-ID: 29402
K. Flaßkamp, S. Hage-Packhäuser, and S. Ober-Blöbaum, “Symmetry exploiting control of hybrid mechanical systems,” Journal of Computational Dynamics, vol. 2(1), pp. 25–50, 2015.
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2015 | Journal Article | LibreCat-ID: 29403
C. M. Campos, S. Ober-Blöbaum, and E. Trélat, “High order variational integrators in the optimal control of mechanical systems,” Discrete and Continuous Dynamical Systems, vol. 35(9), pp. 4193–4223, 2015.
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2015 | Dissertation | LibreCat-ID: 45973 |
B. Kovács, Efficient numerical methods for elliptic and parabolic partial differential equations. Budapest, Hungary, 2015.
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| DOI
| Download (ext.)
2014 | Conference Paper | LibreCat-ID: 17045
T. Gail, S. Leyendecker, and S. Ober-Blöbaum, “On the role of quadrature rules and system dimensions in variational multirateintegrators,” in The 3rdJoint International Conference on Multibody System Dynamics, 2014.
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2014 | Conference Paper | LibreCat-ID: 17046
S. Ober-Blöbaum and H. Lindhorst, “Variational formulation and structure-preserving discretization ofnonlinear electric circuits,” in 21st International Symposium on Mathematical Theory of Networks and Systems, 2014.
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2014 | Conference Paper | LibreCat-ID: 29440
S. Ober-Blöbaum and H. Lindhorst, “Variational formulation and structure-preserving discretization of nonlinear electric circuits,” Netherlands, 2014.
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2014 | Conference Paper | LibreCat-ID: 29438
T. Gail, S. Leyendecker, and S. Ober-Blöbaum, “On the role of quadrature rules and system dimensions in variational multirate integrators,” 2014.
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2014 | Journal Article | LibreCat-ID: 29404
S. Ober-Blöbaum and N. Saake, “Construction and analysis of higher order Galerkin variational integrators,” Advances in Computational Mathematics, pp. 1–32, 2014.
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2014 | Book Chapter | LibreCat-ID: 29417
W. Dangelmeier et al., “Dependability of Self-optimizing Mechatronic Systems,” in Lecture Notes in Mechanical Engineering, Heidelberg New York Dordrecht London: Springer, 2014.
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2014 | Book Chapter | LibreCat-ID: 29416
M. Dellnitz et al., “The paradigm of self-optimization,” in Jürgen Gausemeier, Franz Josef Rammig, and Wilhelm Schäfer, editors, Design Methodology for Intelligent Technical Systems, Berlin Heidelberg: Springer, 2014, pp. 1–25.
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2014 | Book Chapter | LibreCat-ID: 29414
T. Leitz, S. Ober-Blöbaum, and S. Leyendecker, “Variational Lie group formulation of geometrically exact beam dynamics: Synchronous and asynchronous integration,” in Zdravko Terze, Multibody Dynamics, vol. 35, Springer International Publishing, 2014, pp. 175–203.
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2014 | Journal Article | LibreCat-ID: 34845
C. Fieker and J. Klüners, “Computation of Galois groups of rational polynomials,” LMS Journal of Computation and Mathematics, vol. 17, no. 1, pp. 141–158, 2014, doi: 10.1112/s1461157013000302.
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| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 42793
M. Kirschmer, “One-class genera of maximal integral quadratic forms,” Journal of Number Theory, vol. 136, pp. 375–393, 2014, doi: 10.1016/j.jnt.2013.10.007.
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| DOI
2014 | Journal Article | LibreCat-ID: 42801
M. Kirschmer and C. LEEDHAM-GREEN, “Computing with subgroups of the modular group ,” Glasgow Mathematical Journal, vol. 57, no. 1, pp. 173–180, 2014, doi: 10.1017/s0017089514000202.
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| DOI
2014 | Journal Article | LibreCat-ID: 42794
B. Eick, M. Kirschmer, and C. Leedham-Green, “The constructive membership problem for discrete free subgroups of rank 2 of SL₂(R),” LMS Journal of Computation and Mathematics, vol. 17, no. 1, pp. 345–359, 2014, doi: 10.1112/s1461157014000047.
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| DOI
2014 | Journal Article | LibreCat-ID: 45935
O. Axelsson, J. Karátson, and B. Kovács, “Robust Preconditioning Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincaré--Friedrichs Inequality,” SIAM Journal on Numerical Analysis, vol. 52, no. 6, pp. 2957–2976, 2014, doi: 10.1137/130940268.
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| DOI
2014 | Journal Article | LibreCat-ID: 45934
B. Kovács, “On the numerical performance of a sharp a posteriori error estimator for some nonlinear elliptic problems,” Applications of Mathematics, vol. 59, no. 5, pp. 489–508, 2014, doi: 10.1007/s10492-014-0068-0.
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| DOI
2013 | Book Chapter | LibreCat-ID: 16670
O. Schütze, K. Witting, S. Ober-Blöbaum, and M. Dellnitz, “Set Oriented Methods for the Numerical Treatment of Multiobjective Optimization Problems,” in EVOLVE- A Bridge between Probability, Set Oriented Numerics and Evolutionary Computation, Berlin, Heidelberg, 2013.
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| DOI
2013 | Conference Paper | LibreCat-ID: 17048
R. Timmermann and M. Dellnitz, “Analysis of team and player performance using recorded trajectory data,” in Performance Analysis of Sport IX, Part 8, Routledge, 2013.
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2013 | Conference Paper | LibreCat-ID: 17049
R. Jakobsmeyer, R. Schnittker, R. Timmermann, R. Zorn, U. Rückert, and J. Baumeister, “Running performance analysis in basketball using recorded trajectory data,” in Performance Analysis of Sport IX, Part 8, Routledge, 2013.
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2013 | Conference Paper | LibreCat-ID: 29491
T. Gail, S. Leyendecker, and S. Ober-Blöbaum, “Computing time investigations for variational multirate integration,” in Proceedings of Applied Mathematics and Mechanics, 2013, vol. 13(1), pp. 43–44.
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2013 | Book Chapter | LibreCat-ID: 29419
O. Schütze, K. Witting, S. Ober-Blöbaum, M. Dellnitz, and E. Tantar, “Set oriented methods for the numerical treatment of multi-objective optimization problems,” in EVOLVE - A Bridge Between Probability, Set Oriented Numerics, and Evolutionary Computation, Berlin Heidelberg: Springer, 2013, pp. 187–219.
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2013 | Book Chapter | LibreCat-ID: 29418
S. Leyendecker and S. Ober-Blöbaum, “A variational approach to multirate integration for constrained systems,” in Jean-Claude Samin and Paul Fisette, editors, Multibody Dynamics, vol. 28, Netherlands: Springer, 2013, pp. 97–121.
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2013 | Conference Paper | LibreCat-ID: 29441
K. Flaßkamp, S. Ober-Blöbaum, T. Schneider, and J. Böcker, “Optimal control of a switched reluctance drive by a direct method using a discrete variational principle,” in 52nd IEEE International Conference on Decision and Control , Florence, Italy, 2013, pp. 7467–7472.
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2013 | Conference Paper | LibreCat-ID: 29443
S. Ober-Blöbaum and A. Seifried, “A multiobjective optimization approach for optimal control problems of mechanical systems with uncertainties,” in European Control Conference, Zurich, Switzerland, 2013, pp. 204–209.
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2013 | Conference Paper | LibreCat-ID: 29442
K. Flaßkamp, T. Murphey, and S. Ober-Blöbaum, “Discretized switching time optimization problems,” in European Control Conference, Zurich, Switzerland, 2013, pp. 3179–3184.
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2013 | Conference Paper | LibreCat-ID: 29447
A. Specht, S. Ober-Blöbaum, O. Wallscheid, C. Romaus, and J. Böcker, “Discretetime model of an IPMSM based on variational integrators,” in IEEE International Electric Machines & Drives Conference (IEMDC), 2013, pp. 1411–1417.
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2013 | Conference Paper | LibreCat-ID: 29446
M. Ringkamp, S. Ober-Blöbaum, and S. Leyendecker, “A numerical approach to multiobjective optimal control of multibody dynamics,” 2013.
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2013 | Conference Paper | LibreCat-ID: 29444
F. Demoures, F. Gay-Balmaz, T. Leitz, S. Leyendecker, S. Ober-Blöbaum, and T. S. Ratiu, “Asynchronous variational Lie group integration for geometrically exact beam dynamics,” in Proceedings of Applied Mathematics and Mechanics, 2013, vol. 13(1), pp. 45–46.
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2013 | Conference Paper | LibreCat-ID: 29492
M. Ringkamp, S. Leyendecker, and S. Ober-Blöbaum, “Multiobjective optimal control of a four-body kinematic chain,” in Proceedings of Applied Mathematics and Mechanics, 2013, vol. 13(1), pp. 27–28.
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2013 | Conference Paper | LibreCat-ID: 29445
T. Gail, S. Leyendecker, and S. Ober-Blöbaum, “Computing time investigations of variational multirate systems,” in Proceedings of Applied Mathematics and Mechanics, 2013, vol. 13(1), pp. 43–44.
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2013 | Conference Paper | LibreCat-ID: 29490
K. Flaßkamp, T. Murphey, and S. Ober-Blöbaum, “Optimization for discretized switched systems,” in Proceedings of Applied Mathematics and Mechanics, 2013, vol. 13(1), pp. 401–402.
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2013 | Journal Article | LibreCat-ID: 42796
D. Lorch and M. Kirschmer, “Single-class genera of positive integral lattices,” LMS Journal of Computation and Mathematics, vol. 16, pp. 172–186, 2013, doi: 10.1112/s1461157013000107.
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| DOI
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.
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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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| 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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