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458 Publications


2015 | Journal Article | LibreCat-ID: 29403
High order variational integrators in the optimal control of mechanical systems
C.M. Campos, S. Ober-Blöbaum, E. Trélat, Discrete and Continuous Dynamical Systems 35(9) (2015) 4193–4223.
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2015 | Dissertation | LibreCat-ID: 45973 | OA
Efficient numerical methods for elliptic and parabolic partial differential equations
B. Kovács, Efficient Numerical Methods for Elliptic and Parabolic Partial Differential Equations, Budapest, Hungary, 2015.
LibreCat | DOI | Download (ext.)
 

2014 | Conference Paper | LibreCat-ID: 1781
Numerical Simulation of the Damping Behavior of Particle-Filled Hollow Spheres
T. Steinle, J. Vrabec, A. Walther, in: H.G. Bock, X.P. Hoang, R. Rannacher, J.P. Schlöder (Eds.), Proc. Modeling, Simulation and Optimization of Complex Processes (HPSC), Springer International Publishing, 2014, pp. 233–243.
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2014 | Journal Article | LibreCat-ID: 21936
Variational Approach to Molecular Kinetics
F. Nüske, B.G. Keller, G. Pérez-Hernández, A.S.J.S. Mey, F. Noé, Journal of Chemical Theory and Computation (2014) 1739–1752.
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2014 | Book Chapter | LibreCat-ID: 16577
The Paradigm of Self-optimization
M. Dellnitz, R. Dumitrescu, K. Flaßkamp, J. Gausemeier, P. Hartmann, P. Iwanek, S. Korf, M. Krüger, S. Ober-Blöbaum, M. Porrmann, C. Priesterjahn, K. Stahl, A. Trächtler, M. Vaßholz, in: Lecture Notes in Mechanical Engineering, Berlin, Heidelberg, 2014.
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2014 | Conference Paper | LibreCat-ID: 16596
Optimal control of a switched reluctance drive by a direct method using a discrete variational principle
K. Flasskamp, S. Ober-Blobaum, T. Schneider, J. Bocker, in: 52nd IEEE Conference on Decision and Control, 2014.
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2014 | Journal Article | LibreCat-ID: 16597
Control strategies on stable manifolds for energy-efficient swing-ups of double pendula
K. Flaßkamp, J. Timmermann, S. Ober-Blöbaum, A. Trächtler, International Journal of Control (2014) 1886–1905.
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2014 | Book Chapter | LibreCat-ID: 16679
Methods for the Design and Development
H. Anacker, M. Dellnitz, K. Flaßkamp, S. Groesbrink, P. Hartmann, C. Heinzemann, C. Horenkamp, B. Kleinjohann, L. Kleinjohann, S. Korf, M. Krüger, W. Müller, S. Ober-Blöbaum, S. Oberthür, M. Porrmann, C. Priesterjahn, R. Radkowski, C. Rasche, J. Rieke, M. Ringkamp, K. Stahl, D. Steenken, J. Stöcklein, R. Timmermann, A. Trächtler, K. Witting, T. Xie, S. Ziegert, in: Lecture Notes in Mechanical Engineering, Berlin, Heidelberg, 2014.
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2014 | Journal Article | LibreCat-ID: 17043
The computation of convex invariant sets via Newton's method
R. Baier, M. Dellnitz, M. Hessel-von Molo, S. Sertl, I.G. Kevrekidis, Journal of Computational Dynamics 1 (2014) 39–69.
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2014 | Book Chapter | LibreCat-ID: 17044
Variational Lie Group Formulation of Geometrically Exact Beam Dynamics: Synchronous and Asynchronous Integration
T. Leitz, S. Ober-Blöbaum, S. Leyendecker, in: Z. Terze (Ed.), Multibody Dynamics, Springer, Cham, 2014.
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2014 | Conference Paper | LibreCat-ID: 17045
On the role of quadrature rules and system dimensions in variational multirateintegrators
T. Gail, S. Leyendecker, S. Ober-Blöbaum, in: The 3rdJoint International Conference on Multibody System Dynamics, 2014.
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2014 | Conference Paper | LibreCat-ID: 17046
Variational formulation and structure-preserving discretization ofnonlinear electric circuits
S. Ober-Blöbaum, H. Lindhorst, in: 21st International Symposium on Mathematical Theory of Networks and Systems, 2014.
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2014 | Conference Paper | LibreCat-ID: 29440
Variational formulation and structure-preserving discretization of nonlinear electric circuits
S. Ober-Blöbaum, H. Lindhorst, in: 21st International Symposium on Mathematical Theory of Networks and Systems, 2014.
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2014 | Conference Paper | LibreCat-ID: 29438
On the role of quadrature rules and system dimensions in variational multirate integrators
T. Gail, S. Leyendecker, S. Ober-Blöbaum, in: 3rd Joint Interntaional Conference on Multibody System Dynamics , 2014.
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2014 | Book Chapter | LibreCat-ID: 20085
Case Study
A. Trächtler, B. Kleinjohann, C. Heinzemann, C. Rasche, C. Priesterjahn, D. Steenken, H. Wehrheim, J. Gausemeier, K. Flaßkamp, L. Kleinjohann, M. Krüger, P. Iwanek, P. Hartmann, R. Dorociak, S. Groesbrink, S. Ziegert, T. Meyer, W. Sextro, W. Schäfer, in: J. Gausemeier, F. Josef Rammig, W. Schäfer, W. Sextro (Eds.), Dependability of Self-Optimizing Mechatronic Systems, Springer Berlin Heidelberg, 2014, pp. 173–188.
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2014 | Journal Article | LibreCat-ID: 29404
Construction and analysis of higher order Galerkin variational integrators
S. Ober-Blöbaum, N. Saake, Advances in Computational Mathematics (2014) 1–32.
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2014 | Book Chapter | LibreCat-ID: 20080
Methods for the Design and Development
H. Anacker, M. Dellnitz, K. Flaßkamp, S. Grocsbrink, P. Hartmann, C. Heinzemann, C. Horenkamp, B. Kleinjohann, S. Korf, M. Krüger, W. Müller, S. Ober-Blöbaum, S. Oberthür, M. Porrmann, C. Priesterjahn, R. Radkowski, C. Rasche, J. Rieke, M. Ringkamp, K. Stahl, D. Steenken, J. Stöcklein, R. Timmermann, A. Trächtler, K. Witting, T. Xie, S. Ziegert, in: Jürgen Gausemeier, Franz Josef Rammig, and Wilhelm Schäfer, Editors, Design Methodology for Intelligent Technical Systems, Springer Berlin Heidelberg, 2014, pp. 183–350.
LibreCat | DOI
 

2014 | Book Chapter | LibreCat-ID: 29417
Dependability of Self-optimizing Mechatronic Systems
W. Dangelmeier, M. Dellnitz, R. Dorociak, K. Flaßkamp, J. Gausemeier, S. Groesbrink, P. Hartmann, C. Heinzemann, C. Hölscher, P. Iwanek, J.H. Keßler, B. Kleinjohann, L. Kleinjohann, S. Korf, M. Krüger, T. Meyer, W. Müller, S. Ober-Blöbaum, M. Porrmann, C. Priesterjahn, F.J. Rammig, C. Rasche, P. Reinold, W. Schäfer, A. Seifried, W. Sextro, C. Sondermann-Woelke, K. Stahl, D. Steenken, R. Timmermann, A. Trächtler, M. Vaßholz, H. Wehrheim, K. Witting, T. Xie, Y. Zhao, S. Ziegert, D. Zimmer, in: Lecture Notes in Mechanical Engineering, Springer, Heidelberg New York Dordrecht London, 2014.
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2014 | Book Chapter | LibreCat-ID: 29416
The paradigm of self-optimization
M. Dellnitz, R. Dumitrescu, K. Flaßkamp, J. Gausemeier, P. Hartmann, P. Iwanek, S. Korf, M. Krüger, S. Ober-Blöbaum, M. Porrmann, C. Priesterjahn, K. Stahl, A. Trächtler, M. Vaßholz, in: Jürgen Gausemeier, Franz Josef Rammig, and Wilhelm Schäfer, Editors, Design Methodology for Intelligent Technical Systems, Springer, Berlin Heidelberg, 2014, pp. 1–25.
LibreCat
 

2014 | Book Chapter | LibreCat-ID: 29414
Variational Lie group formulation of geometrically exact beam dynamics: Synchronous and asynchronous integration
T. Leitz, S. Ober-Blöbaum, S. Leyendecker, in: Zdravko Terze, Multibody Dynamics, Springer International Publishing, 2014, pp. 175–203.
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2014 | Journal Article | LibreCat-ID: 34845
Computation of Galois groups of rational polynomials
C. Fieker, J. Klüners, LMS Journal of Computation and Mathematics 17 (2014) 141–158.
LibreCat | DOI | arXiv
 

2014 | Journal Article | LibreCat-ID: 42793
One-class genera of maximal integral quadratic forms
M. Kirschmer, Journal of Number Theory 136 (2014) 375–393.
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2014 | Journal Article | LibreCat-ID: 42801
Computing with subgroups of the modular group
M. Kirschmer, C. LEEDHAM-GREEN, Glasgow Mathematical Journal 57 (2014) 173–180.
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2014 | Journal Article | LibreCat-ID: 42794
The constructive membership problem for discrete free subgroups of rank 2 of SL₂(R)
B. Eick, M. Kirschmer, C. Leedham-Green, LMS Journal of Computation and Mathematics 17 (2014) 345–359.
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2014 | Journal Article | LibreCat-ID: 45935
Robust Preconditioning Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincaré--Friedrichs Inequality
O. Axelsson, J. Karátson, B. Kovács, SIAM Journal on Numerical Analysis 52 (2014) 2957–2976.
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2014 | Journal Article | LibreCat-ID: 45934 LibreCat | DOI
 

2013 | Journal Article | LibreCat-ID: 21935
A Variational Approach to Modeling Slow Processes in Stochastic Dynamical Systems
F. Noé, F. Nüske, Multiscale Modeling & Simulation (2013) 635–655.
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2013 | Journal Article | LibreCat-ID: 16583
Asynchronous variational Lie group integration for geometrically exact beam dynamics
F. Demoures, F. Gay-Balmaz, T. Leitz, S. Leyendecker, S. Ober-Blöbaum, T.S. Ratiu, PAMM (2013) 45–46.
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2013 | Conference Paper | LibreCat-ID: 16594
Discretized switching time optimization problems
K. Flasskamp, T. Murphey, S. Ober-Blobaum, in: 2013 European Control Conference (ECC), 2013.
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2013 | Journal Article | LibreCat-ID: 16595
Optimization for discretized switched systems
K. Flaßkamp, T. Murphey, S. Ober-Blöbaum, PAMM (2013) 401–402.
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2013 | Book Chapter | LibreCat-ID: 16599
Markov modelling for random dynamical systems
G. Froyland, in: Equadiff 99, 2013.
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2013 | Journal Article | LibreCat-ID: 16608
Computing time investigations for variational multirate integration
T. Gail, S. Leyendecker, S. Ober-Blöbaum, PAMM (2013) 43–44.
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2013 | Conference Paper | LibreCat-ID: 16643
A multiobjective optimization approach for optimal control problems of mechanical systems with uncertainties
S. Ober-Blöbaum, A. Seifried, in: 2013 European Control Conference (ECC), 2013.
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2013 | Book Chapter | LibreCat-ID: 16670
Set Oriented Methods for the Numerical Treatment of Multiobjective Optimization Problems
O. Schütze, K. Witting, S. Ober-Blöbaum, M. Dellnitz, in: EVOLVE- A Bridge between Probability, Set Oriented Numerics and Evolutionary Computation, Berlin, Heidelberg, 2013.
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2013 | Conference Paper | LibreCat-ID: 16672
Discrete-time model of an IPMSM based on variational integrators
A. Specht, S. Ober-Blobaum, O. Wallscheid, C. Romaus, J. Bocker, in: 2013 International Electric Machines & Drives Conference, 2013.
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2013 | Journal Article | LibreCat-ID: 16677
A variational approach to define robustness for parametric multiobjective optimization problems
K. Witting, S. Ober-Blöbaum, M. Dellnitz, Journal of Global Optimization (2013) 331–345.
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2013 | Conference Paper | LibreCat-ID: 17048
Analysis of team and player performance using recorded trajectory data
R. Timmermann, M. Dellnitz, in: Performance Analysis of Sport IX, Part 8, Routledge, 2013.
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2013 | Conference Paper | LibreCat-ID: 17049
Running performance analysis in basketball using recorded trajectory data
R. Jakobsmeyer, R. Schnittker, R. Timmermann, R. Zorn, U. Rückert, J. Baumeister, in: Performance Analysis of Sport IX, Part 8, Routledge, 2013.
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2013 | Journal Article | LibreCat-ID: 17050
Variational integrators for electric circuits
S. Ober-Blöbaum, M. Tao, M. Cheng, H. Owhadi, J.E. Marsden, Journal of Computational Physics 242 (2013) 498–530.
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2013 | Conference Paper | LibreCat-ID: 29491
Computing time investigations for variational multirate integration
T. Gail, S. Leyendecker, S. Ober-Blöbaum, in: Proceedings of Applied Mathematics and Mechanics, 2013, pp. 43–44.
LibreCat
 

2013 | Book Chapter | LibreCat-ID: 29419
Set oriented methods for the numerical treatment of multi-objective optimization problems
O. Schütze, K. Witting, S. Ober-Blöbaum, M. Dellnitz, E. Tantar, in: EVOLVE - A Bridge Between Probability, Set Oriented Numerics, and Evolutionary Computation, Springer, Berlin Heidelberg, 2013, pp. 187–219.
LibreCat
 

2013 | Book Chapter | LibreCat-ID: 29418
A variational approach to multirate integration for constrained systems
S. Leyendecker, S. Ober-Blöbaum, in: Jean-Claude Samin and Paul Fisette, Editors, Multibody Dynamics, Springer, Netherlands, 2013, pp. 97–121.
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2013 | Conference Paper | LibreCat-ID: 29441
Optimal control of a switched reluctance drive by a direct method using a discrete variational principle
K. Flaßkamp, S. Ober-Blöbaum, T. Schneider, J. Böcker, in: 52nd IEEE International Conference on Decision and Control , 2013, pp. 7467–7472.
LibreCat
 

2013 | Conference Paper | LibreCat-ID: 29443
A multiobjective optimization approach for optimal control problems of mechanical systems with uncertainties
S. Ober-Blöbaum, A. Seifried, in: European Control Conference, 2013, pp. 204–209.
LibreCat
 

2013 | Conference Paper | LibreCat-ID: 29442
Discretized switching time optimization problems
K. Flaßkamp, T. Murphey, S. Ober-Blöbaum, in: European Control Conference, 2013, pp. 3179–3184.
LibreCat
 

2013 | Conference Paper | LibreCat-ID: 29447
Discretetime model of an IPMSM based on variational integrators
A. Specht, S. Ober-Blöbaum, O. Wallscheid, C. Romaus, J. Böcker, in: IEEE International Electric Machines & Drives Conference (IEMDC), 2013, pp. 1411–1417.
LibreCat
 

2013 | Conference Paper | LibreCat-ID: 29446
A numerical approach to multiobjective optimal control of multibody dynamics
M. Ringkamp, S. Ober-Blöbaum, S. Leyendecker, in: ECCOMAS Thematic Conference on Multibody Dynamics, 2013.
LibreCat
 

2013 | Conference Paper | LibreCat-ID: 29444
Asynchronous variational Lie group integration for geometrically exact beam dynamics
F. Demoures, F. Gay-Balmaz, T. Leitz, S. Leyendecker, S. Ober-Blöbaum, T.S. Ratiu, in: Proceedings of Applied Mathematics and Mechanics, 2013, pp. 45–46.
LibreCat
 

2013 | Conference Paper | LibreCat-ID: 29492
Multiobjective optimal control of a four-body kinematic chain
M. Ringkamp, S. Leyendecker, S. Ober-Blöbaum, in: Proceedings of Applied Mathematics and Mechanics, 2013, pp. 27–28.
LibreCat
 

2013 | Conference Paper | LibreCat-ID: 29445
Computing time investigations of variational multirate systems
T. Gail, S. Leyendecker, S. Ober-Blöbaum, in: Proceedings of Applied Mathematics and Mechanics, 2013, pp. 43–44.
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