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93 Publications
2024 | Journal Article | LibreCat-ID: 46469 | 
@article{Offen_Ober-Blöbaum_2024, title={Learning of discrete models of variational PDEs from data}, volume={34}, DOI={10.1063/5.0172287}, number={1013104}, journal={Chaos}, publisher={AIP Publishing}, author={Offen, Christian and Ober-Blöbaum, Sina}, year={2024} }
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| arXiv
2024 | Journal Article | LibreCat-ID: 53101 |
@article{Leyendecker_Maslovskaya_Ober-Blöbaum_Almagro_Szemenyei_2024, title={A new Lagrangian approach to control affine systems with a quadratic Lagrange term}, volume={0}, DOI={10.3934/jcd.2024017}, number={0}, journal={Journal of Computational Dynamics}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Leyendecker, Sigrid and Maslovskaya, Sofya and Ober-Blöbaum, Sina and Almagro, Rodrigo T. Sato Martín de and Szemenyei, Flóra Orsolya}, year={2024}, pages={0–0} }
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2023 | Conference Paper | LibreCat-ID: 42163 |
@inproceedings{Offen_Ober-Blöbaum_2023, series={Lecture Notes in Computer Science (LNCS)}, title={Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves}, volume={14071}, DOI={10.1007/978-3-031-38271-0_57}, booktitle={Geometric Science of Information}, publisher={Springer, Cham.}, author={Offen, Christian and Ober-Blöbaum, Sina}, editor={Nielsen, F and Barbaresco, F}, year={2023}, pages={569–579}, collection={Lecture Notes in Computer Science (LNCS)} }
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| arXiv
2023 | Journal Article | LibreCat-ID: 29240 |
@article{Ober-Blöbaum_Offen_2023, title={Variational Learning of Euler–Lagrange Dynamics from Data}, volume={421}, DOI={10.1016/j.cam.2022.114780}, journal={Journal of Computational and Applied Mathematics}, publisher={Elsevier}, author={Ober-Blöbaum, Sina and Offen, Christian}, year={2023}, pages={114780} }
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| arXiv
2023 | Journal Article | LibreCat-ID: 29236 |
@article{McLachlan_Offen_2023, title={Backward error analysis for conjugate symplectic methods}, volume={15}, DOI={10.3934/jgm.2023005}, number={1}, journal={Journal of Geometric Mechanics}, publisher={AIMS Press}, author={McLachlan, Robert and Offen, Christian}, year={2023}, pages={98–115} }
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| arXiv
2023 | Journal Article | LibreCat-ID: 37654 |
@article{Dierkes_Offen_Ober-Blöbaum_Flaßkamp_2023, title={Hamiltonian Neural Networks with Automatic Symmetry Detection}, volume={33}, DOI={10.1063/5.0142969}, number={6063115}, journal={Chaos}, publisher={AIP Publishing}, author={Dierkes, Eva and Offen, Christian and Ober-Blöbaum, Sina and Flaßkamp, Kathrin}, year={2023} }
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| arXiv
2023 | Journal Article | LibreCat-ID: 21600
@article{Dellnitz_Hüllermeier_Lücke_Ober-Blöbaum_Offen_Peitz_Pfannschmidt_2023, title={Efficient time stepping for numerical integration using reinforcement learning}, volume={45}, DOI={10.1137/21M1412682}, number={2}, journal={SIAM Journal on Scientific Computing}, author={Dellnitz, Michael and Hüllermeier, Eyke and Lücke, Marvin and Ober-Blöbaum, Sina and Offen, Christian and Peitz, Sebastian and Pfannschmidt, Karlson}, year={2023}, pages={A579–A595} }
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| arXiv
2023 | Conference Paper | LibreCat-ID: 34135 |
@inproceedings{Lishkova_Scherer_Ridderbusch_Jamnik_Liò_Ober-Blöbaum_Offen_2023, title={Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery}, volume={56}, DOI={10.1016/j.ifacol.2023.10.1457}, number={2}, booktitle={IFAC-PapersOnLine}, publisher={Elsevier}, author={Lishkova, Yana and Scherer, Paul and Ridderbusch, Steffen and Jamnik, Mateja and Liò, Pietro and Ober-Blöbaum, Sina and Offen, Christian}, year={2023}, pages={3203–3210} }
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| arXiv
2022 | Journal Article | LibreCat-ID: 30490
@article{Cresson_Jiménez_Ober-Blöbaum_2022, title={Continuous and discrete Noether’s fractional conserved quantities for restricted calculus of variations}, volume={14(1)}, journal={AIMS}, author={Cresson, Jacky and Jiménez, Fernando and Ober-Blöbaum, Sina}, year={2022}, pages={57–89} }
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2022 | Journal Article | LibreCat-ID: 30861
@article{Caillau_Djema_Gouzé_Maslovskaya_Pomet_2022, title={Turnpike Property in Optimal Microbial Metabolite Production}, DOI={10.1007/s10957-022-02023-0}, journal={Journal of Optimization Theory and Applications}, publisher={Springer Science and Business Media LLC}, author={Caillau, Jean-Baptiste and Djema, Walid and Gouzé, Jean-Luc and Maslovskaya, Sofya and Pomet, Jean-Baptiste}, year={2022} }
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2022 | Journal Article | LibreCat-ID: 44624
@article{Faulwasser_Flaßkamp_Ober-Blöbaum_Schaller_Worthmann_2022, title={Manifold turnpikes, trims, and symmetries}, volume={34}, journal={Mathematics of Control, Signals, and Systems}, publisher={Springer}, author={Faulwasser, Timm and Flaßkamp, Kathrin and Ober-Blöbaum, Sina and Schaller, Manuel and Worthmann, Karl}, year={2022}, pages={759–788} }
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2022 | Journal Article | LibreCat-ID: 19941 |
@article{McLachlan_Offen_2022, title={Backward error analysis for variational discretisations of partial differential equations}, volume={14}, DOI={10.3934/jgm.2022014}, number={3}, journal={Journal of Geometric Mechanics}, publisher={AIMS}, author={McLachlan, Robert I and Offen, Christian}, year={2022}, pages={447–471} }
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| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 23382 |
@article{Offen_Ober-Blöbaum_2022, title={Symplectic integration of learned Hamiltonian systems}, volume={32(1)}, DOI={10.1063/5.0065913}, journal={Chaos: An Interdisciplinary Journal of Nonlinear Science}, publisher={AIP}, author={Offen, Christian and Ober-Blöbaum, Sina}, year={2022} }
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| arXiv
2022 | Conference Paper | LibreCat-ID: 30733
@inproceedings{Vertovec_Ober-Blöbaum_Margellos_2022, title={Verification of safety critical control policies using kernel methods}, author={Vertovec, Nikolaus and Ober-Blöbaum, Sina and Margellos, Kostas}, year={2022}, pages={1870–1875} }
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2021 | Conference Paper | LibreCat-ID: 29421
@inproceedings{Ober-Blöbaum_Vermeeren_2021, title={Superconvergence of galerkin variational integrators}, volume={54(19)}, booktitle={7th IIFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC}, author={Ober-Blöbaum, Sina and Vermeeren, M.}, editor={IFAC-PapersOnLine}, year={2021}, pages={327–333} }
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2021 | Journal Article | LibreCat-ID: 29543
@article{Djema_Giraldi_Maslovskaya_Bernard_2021, title={Turnpike features in optimal selection of species represented by quota models}, volume={132}, DOI={10.1016/j.automatica.2021.109804}, number={109804}, journal={Automatica}, publisher={Elsevier BV}, author={Djema, Walid and Giraldi, Laetitia and Maslovskaya, Sofya and Bernard, Olivier}, year={2021} }
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2021 | Conference Paper | LibreCat-ID: 22894 |
@article{Offen_Ober-Blöbaum_2021, series={IFAC-PapersOnLine}, title={Bifurcation preserving discretisations of optimal control problems}, volume={54(19)}, DOI={https://doi.org/10.1016/j.ifacol.2021.11.099}, author={Offen, Christian and Ober-Blöbaum, Sina}, year={2021}, pages={334–339}, collection={IFAC-PapersOnLine} }
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| arXiv
2021 | Conference Paper | LibreCat-ID: 21572
@inproceedings{Ridderbusch_Offen_Ober-Blöbaum_Goulart_2021, title={Learning ODE Models with Qualitative Structure Using Gaussian Processes }, DOI={10.1109/CDC45484.2021.9683426}, booktitle={2021 60th IEEE Conference on Decision and Control (CDC)}, publisher={IEEE}, author={Ridderbusch, Steffen and Offen, Christian and Ober-Blöbaum, Sina and Goulart, Paul}, year={2021}, pages={2896} }
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| arXiv
2021 | Conference Paper | LibreCat-ID: 29868
@inproceedings{Jiménez_Ober-Blöbaum_2021, series={J Nonlinear Sci }, title={Fractional Damping Through Restricted Calculus of Variations}, volume={46}, booktitle={Nichtlineare Sci 31}, author={Jiménez, F. and Ober-Blöbaum, Sina}, year={2021}, collection={J Nonlinear Sci } }
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2020 | Journal Article | LibreCat-ID: 19938
@article{McLachlan_Offen_2020, title={Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation}, volume={20}, DOI={10.1007/s10208-020-09454-z}, number={6}, journal={Foundations of Computational Mathematics}, author={McLachlan, Robert I and Offen, Christian}, year={2020}, pages={1363–1400} }
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2020 | Journal Article | LibreCat-ID: 19939 |
@article{Kreusser_McLachlan_Offen_2020, title={Detection of high codimensional bifurcations in variational PDEs}, volume={33}, DOI={10.1088/1361-6544/ab7293}, number={5}, journal={Nonlinearity}, author={Kreusser, Lisa Maria and McLachlan, Robert I and Offen, Christian}, year={2020}, pages={2335–2363} }
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2020 | Journal Article | LibreCat-ID: 29399
@article{Limebeer_Ober-Blöbaum_Farshi_2020, title={Variational integrators for dissipative systems}, volume={65(4)}, journal={IEEE Transactions on Automatic Control}, author={Limebeer, D. J. N. and Ober-Blöbaum, Sina and Farshi, F. H.}, year={2020}, pages={1381–1396} }
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2020 | Journal Article | LibreCat-ID: 29398
@article{Hernández Castellanos_Schütze_Sun_Ober-Blöbaum_Morales-Luna_2020, title={Numerical computation of lightly multi-objective robust optimal solutions by means of generalized cell mapping}, volume={8(11):1959}, journal={Mathematics}, author={Hernández Castellanos, C. I. O. and Schütze, G. and Sun, J.-Q. and Ober-Blöbaum, Sina and Morales-Luna, G.}, year={2020} }
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2020 | Conference Paper | LibreCat-ID: 29422
@inproceedings{Lishkova_Ober-Blöbaum_Cannon_Leyendecker_2020, title={A multirate variational approach to simulation and optimal control for flexible spacecraft}, booktitle={Accepted for publication in Proceedings of 2020 AAS/AIAA Astrodynamics Specialist Conference - Lake Tahoe}, author={Lishkova, Y. and Ober-Blöbaum, Sina and Cannon, M. and Leyendecker, S.}, year={2020} }
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2020 | Conference Paper | LibreCat-ID: 29423
@inproceedings{Faulwasser_Flaßkamp_Ober-Blöbaum_Worthmann_2020, title={A dissipativity characterization of velocity turnpikes in optimal control problems for mechanical systems}, booktitle={24th International Symposium on Mathematical Theory of Networks and Systems}, author={Faulwasser, T. and Flaßkamp, K. and Ober-Blöbaum, Sina and Worthmann, K. }, year={2020} }
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2020 | Conference Paper | LibreCat-ID: 29424
@inproceedings{Cresson_Jiménez_Ober-Blöbaum_2020, title={Modelling of the convection-diffusion equation through fractional restricted calculus of variations}, booktitle={24th International Symposium on Mathematical Theory of Networks and Systems}, author={Cresson, J. and Jiménez, F. and Ober-Blöbaum, Sina}, year={2020} }
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2020 | Journal Article | LibreCat-ID: 29545
@article{Jean_Maslovskaya_Zelenko_2020, title={On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry}, volume={213}, DOI={10.1007/s10711-020-00581-z}, number={1}, journal={Geometriae Dedicata}, publisher={Springer Science and Business Media LLC}, author={Jean, Frédéric and Maslovskaya, Sofya and Zelenko, Igor}, year={2020}, pages={295–314} }
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2020 | Conference Abstract | LibreCat-ID: 29546 |
@inproceedings{Maslovskaya_Caillau_Djema_Giraldi_Jean-Luc_Pomet_2020, title={The turnpike property in maximization of microbial metabolite production}, author={Maslovskaya, Sofya and Caillau, Jean-Baptiste and Djema, Walid and Giraldi, Laetitia and Jean-Luc, Jean-Luc and Pomet, Jean-Baptiste}, year={2020} }
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2020 | Book Chapter | LibreCat-ID: 29413
@inbook{Flaßkamp_Ober-Blöbaum_Peitz_2020, place={Cham}, title={Symmetry in optimal control: A multiobjective model predictive control approach}, booktitle={Advances in Dynamics, Optimization and Computation}, publisher={Springer International Publishing}, author={Flaßkamp, K. and Ober-Blöbaum, Sina and Peitz, S. }, editor={Junge, Oliver and Schütze, Oliver and Froyland, Gary and Ober-Blöbaum, Sina and Padberg-Gehle, Kathrin}, year={2020}, pages={209–237} }
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2019 | Journal Article | LibreCat-ID: 19945 |
@article{McLachlan_Offen_Tapley_2019, title={Symplectic integration of PDEs using Clebsch variables}, volume={6}, DOI={10.3934/jcd.2019005}, number={1}, journal={Journal of Computational Dynamics}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={McLachlan, Robert I and Offen, Christian and Tapley, Benjamin K}, year={2019}, pages={111–130} }
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2019 | Conference Paper | LibreCat-ID: 29867
@inproceedings{Faulwasser_Flaßkamp_Ober-Blöbaum_Worthmann_2019, title={Towards velocity turnpikes in optimal control of mechanical systems}, volume={52(16)}, author={Faulwasser, Tim and Flaßkamp, K. and Ober-Blöbaum, Sina and Worthmann, Karl}, editor={IFAC-PapersOnLine}, year={2019}, pages={490–495} }
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2018 | Journal Article | LibreCat-ID: 19935
@article{McLachlan_Offen_2018, title={Bifurcation of solutions to Hamiltonian boundary value problems}, DOI={10.1088/1361-6544/aab630}, journal={Nonlinearity}, author={McLachlan, Robert I and Offen, Christian}, year={2018}, pages={2895–2927} }
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2018 | Journal Article | LibreCat-ID: 19937
@article{McLachlan_Offen_2018, title={Symplectic integration of boundary value problems}, DOI={10.1007/s11075-018-0599-7}, journal={Numerical Algorithms}, author={McLachlan, Robert I and Offen, Christian}, year={2018}, pages={1219–1233} }
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2018 | Conference Paper | LibreCat-ID: 29425
@inproceedings{Jiménez_Ober-Blöbaum_2018, title={Necessary optimality conditions for optimally controlled dissipative mechanical systems modelled through fractional derivatives}, booktitle={6th European Conference on Computational Mechanics}, author={Jiménez, F. and Ober-Blöbaum, Sina}, year={2018} }
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2018 | Conference Paper | LibreCat-ID: 29427
@inproceedings{Jiménez_Ober-Blöbaum_2018, title={A fractional variational approach for modelling dissipative mechanical systems continuous and discrete settings}, volume={51(3)}, booktitle={6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018}, author={Jiménez, F. and Ober-Blöbaum, Sina}, editor={IFAC-PapersOnLine}, year={2018}, pages={50–55} }
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2018 | Preprint | LibreCat-ID: 19940 |
@article{Offen, title={Local intersections of Lagrangian manifolds correspond to catastrophe theory}, journal={arXiv:1811.10165}, author={Offen, Christian} }
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| arXiv
2018 | Journal Article | LibreCat-ID: 19943 |
@article{McLachlan_Offen_2018, title={Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci}, volume={48}, DOI={10.53733/34 }, journal={New Zealand Journal of Mathematics}, author={McLachlan, Robert I and Offen, Christian}, year={2018}, pages={83–99} }
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| arXiv
2017 | Conference Paper | LibreCat-ID: 29430
@inproceedings{Gail_Ober-Blöbaum_Leyendecker_2017, title={Variational multirate integration in discrete mechanics and optimal control}, booktitle={ECCOMAS Thematic Conference on Multibody Dynamics}, author={Gail, T. and Ober-Blöbaum, Sina and Leyendecker, S. }, year={2017} }
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2016 | Conference Paper | LibreCat-ID: 29435
@inproceedings{Wenger_Ober-Blöbaum_Leyendecker_2016, title={Variational integrators of mixed order for dynamical systems with multiple time scales and split potentials}, booktitle={ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering}, author={Wenger, T. and Ober-Blöbaum, Sina and Leyendecker, S. }, year={2016}, pages={1818–1831} }
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2016 | Conference Paper | LibreCat-ID: 29432
@inproceedings{Wenger_Ober-Blöbaum_Leyendecker_2016, title={Constrained Galerkin variational integrators and modified constrained symplectic Runge-Kutta methods}, booktitle={International Conference of Numerical Analysis and Applied Mathematics (ICNAAM)}, author={Wenger, T. and Ober-Blöbaum, Sina and Leyendecker, S. }, year={2016} }
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2016 | Conference Paper | LibreCat-ID: 29433
@inproceedings{Peitz_Ober-Blöbaum_Dellnitz_2016, title={Reduced order model based multiobjective optimal control of fluids}, booktitle={Proceedings of International Congress of Theoretical and Applied Mechanics}, author={Peitz, Sebastian and Ober-Blöbaum, Sina and Dellnitz, M.}, year={2016} }
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2016 | Conference Paper | LibreCat-ID: 29436
@inproceedings{Stellato_Ober-Blöbaum_Goulart_2016, title={Optimal control of switching times in switched linear systems}, booktitle={2016 IEEE 55th Conference on Decision and Control (CDC)}, author={Stellato, B. and Ober-Blöbaum, Sina and Goulart, P.J. }, year={2016}, pages={7228–7233} }
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2015 | Journal Article | LibreCat-ID: 29402
@article{Flaßkamp_Hage-Packhäuser_Ober-Blöbaum_2015, title={Symmetry exploiting control of hybrid mechanical systems}, volume={2(1)}, journal={Journal of Computational Dynamics}, author={Flaßkamp, K. and Hage-Packhäuser, S. and Ober-Blöbaum, Sina}, year={2015}, pages={25–50} }
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2015 | Journal Article | LibreCat-ID: 29403
@article{Campos_Ober-Blöbaum_Trélat_2015, title={High order variational integrators in the optimal control of mechanical systems}, volume={35(9)}, journal={Discrete and Continuous Dynamical Systems}, author={Campos, C. M. and Ober-Blöbaum, Sina and Trélat, E.}, year={2015}, pages={4193–4223} }
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2014 | Conference Paper | LibreCat-ID: 29440
@inproceedings{Ober-Blöbaum_Lindhorst_2014, title={Variational formulation and structure-preserving discretization of nonlinear electric circuits}, booktitle={21st International Symposium on Mathematical Theory of Networks and Systems}, author={Ober-Blöbaum, Sina and Lindhorst, H.}, year={2014} }
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2014 | Conference Paper | LibreCat-ID: 29438
@inproceedings{Gail_Leyendecker_Ober-Blöbaum_2014, title={On the role of quadrature rules and system dimensions in variational multirate integrators}, booktitle={3rd Joint Interntaional Conference on Multibody System Dynamics }, author={Gail, T. and Leyendecker, S. and Ober-Blöbaum, Sina}, year={2014} }
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2014 | Book Chapter | LibreCat-ID: 20085
@inbook{Trächtler_Kleinjohann_Heinzemann_Rasche_Priesterjahn_Steenken_Wehrheim_Gausemeier_Flaßkamp_Kleinjohann_et al._2014, series={Lecture Notes in Mechanical Engineering}, title={Case Study}, DOI={10.1007/978-3-642-53742-4_4}, booktitle={Dependability of Self-Optimizing Mechatronic Systems}, publisher={Springer Berlin Heidelberg}, author={Trächtler, Ansgar and Kleinjohann, Bernd and Heinzemann, Christian and Rasche, Christoph and Priesterjahn, Claudia and Steenken, Dominik and Wehrheim, Heike and Gausemeier, Jürgen and Flaßkamp, Kathrin and Kleinjohann, Lisa and et al.}, editor={Gausemeier, Jürgen and Josef Rammig, Franz and Schäfer, Wilhelm and Sextro, Walter}, year={2014}, pages={173–188}, collection={Lecture Notes in Mechanical Engineering} }
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2014 | Journal Article | LibreCat-ID: 29404
@article{Ober-Blöbaum_Saake_2014, title={Construction and analysis of higher order Galerkin variational integrators}, journal={Advances in Computational Mathematics}, author={Ober-Blöbaum, Sina and Saake, N.}, year={2014}, pages={1–32} }
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2014 | Book Chapter | LibreCat-ID: 20080
@inbook{Anacker_Dellnitz_Flaßkamp_Grocsbrink_Hartmann_Heinzemann_Horenkamp_Kleinjohann_Korf_Krüger_et al._2014, series={Lecture Notes in Mechanical Engineering}, title={Methods for the Design and Development}, DOI={10.1007/978-3-642-45435-6_5}, booktitle={Jürgen Gausemeier, Franz Josef Rammig, and Wilhelm Schäfer, editors, Design Methodology for Intelligent Technical Systems}, publisher={Springer Berlin Heidelberg}, author={Anacker, H. and Dellnitz, M. and Flaßkamp, K. and Grocsbrink, S. and Hartmann, P. and Heinzemann, C. and Horenkamp, C. and Kleinjohann, B. and Korf, S. and Krüger, M. and et al.}, year={2014}, pages={183–350}, collection={Lecture Notes in Mechanical Engineering} }
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