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93 Publications
2024 | Journal Article | LibreCat-ID: 46469 | 
Offen, Christian, and Sina Ober-Blöbaum. “Learning of Discrete Models of Variational PDEs from Data.” Chaos 34, no. 1 (2024). https://doi.org/10.1063/5.0172287.
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| arXiv
2024 | Journal Article | LibreCat-ID: 53101 |
Leyendecker, Sigrid, Sofya Maslovskaya, Sina Ober-Blöbaum, Rodrigo T. Sato Martín de Almagro, and Flóra Orsolya Szemenyei. “A New Lagrangian Approach to Control Affine Systems with a Quadratic Lagrange Term.” Journal of Computational Dynamics 0, no. 0 (2024): 0–0. https://doi.org/10.3934/jcd.2024017.
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2023 | Conference Paper | LibreCat-ID: 42163 |
Offen, Christian, and Sina Ober-Blöbaum. “Learning Discrete Lagrangians for Variational PDEs from Data and Detection of Travelling Waves.” In Geometric Science of Information, edited by F Nielsen and F Barbaresco, 14071:569–79. Lecture Notes in Computer Science (LNCS). Springer, Cham., 2023. https://doi.org/10.1007/978-3-031-38271-0_57.
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| arXiv
2023 | Journal Article | LibreCat-ID: 29240 |
Ober-Blöbaum, Sina, and Christian Offen. “Variational Learning of Euler–Lagrange Dynamics from Data.” Journal of Computational and Applied Mathematics 421 (2023): 114780. https://doi.org/10.1016/j.cam.2022.114780.
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2023 | Journal Article | LibreCat-ID: 29236 |
McLachlan, Robert, and Christian Offen. “Backward Error Analysis for Conjugate Symplectic Methods.” Journal of Geometric Mechanics 15, no. 1 (2023): 98–115. https://doi.org/10.3934/jgm.2023005.
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| arXiv
2023 | Journal Article | LibreCat-ID: 37654 |
Dierkes, Eva, Christian Offen, Sina Ober-Blöbaum, and Kathrin Flaßkamp. “Hamiltonian Neural Networks with Automatic Symmetry Detection.” Chaos 33, no. 6 (2023). https://doi.org/10.1063/5.0142969.
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| arXiv
2023 | Journal Article | LibreCat-ID: 21600
Dellnitz, Michael, Eyke Hüllermeier, Marvin Lücke, Sina Ober-Blöbaum, Christian Offen, Sebastian Peitz, and Karlson Pfannschmidt. “Efficient Time Stepping for Numerical Integration Using Reinforcement Learning.” SIAM Journal on Scientific Computing 45, no. 2 (2023): A579–95. https://doi.org/10.1137/21M1412682.
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| arXiv
2023 | Conference Paper | LibreCat-ID: 34135 |
Lishkova, Yana, Paul Scherer, Steffen Ridderbusch, Mateja Jamnik, Pietro Liò, Sina Ober-Blöbaum, and Christian Offen. “Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery.” In IFAC-PapersOnLine, 56:3203–10. Elsevier, 2023. https://doi.org/10.1016/j.ifacol.2023.10.1457.
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2022 | Journal Article | LibreCat-ID: 30490
Cresson, Jacky, Fernando Jiménez, and Sina Ober-Blöbaum. “Continuous and Discrete Noether’s Fractional Conserved Quantities for Restricted Calculus of Variations.” AIMS 14(1) (2022): 57–89.
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2022 | Journal Article | LibreCat-ID: 30861
Caillau, Jean-Baptiste, Walid Djema, Jean-Luc Gouzé, Sofya Maslovskaya, and Jean-Baptiste Pomet. “Turnpike Property in Optimal Microbial Metabolite Production.” Journal of Optimization Theory and Applications, 2022. https://doi.org/10.1007/s10957-022-02023-0.
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2022 | Journal Article | LibreCat-ID: 44624
Faulwasser, Timm, Kathrin Flaßkamp, Sina Ober-Blöbaum, Manuel Schaller, and Karl Worthmann. “Manifold Turnpikes, Trims, and Symmetries.” Mathematics of Control, Signals, and Systems 34 (2022): 759–88.
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2022 | Journal Article | LibreCat-ID: 19941 |
McLachlan, Robert I, and Christian Offen. “Backward Error Analysis for Variational Discretisations of Partial Differential Equations.” Journal of Geometric Mechanics 14, no. 3 (2022): 447–71. https://doi.org/10.3934/jgm.2022014.
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| arXiv
2022 | Journal Article | LibreCat-ID: 23382 |
Offen, Christian, and Sina Ober-Blöbaum. “Symplectic Integration of Learned Hamiltonian Systems.” Chaos: An Interdisciplinary Journal of Nonlinear Science 32(1) (2022). https://doi.org/10.1063/5.0065913.
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2022 | Conference Paper | LibreCat-ID: 30733
Vertovec, Nikolaus, Sina Ober-Blöbaum, and Kostas Margellos. “Verification of Safety Critical Control Policies Using Kernel Methods,” 1870–75, 2022.
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2021 | Conference Paper | LibreCat-ID: 29421
Ober-Blöbaum, Sina, and M. Vermeeren. “Superconvergence of Galerkin Variational Integrators.” In 7th IIFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC, edited by IFAC-PapersOnLine, 54(19):327–33, 2021.
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2021 | Journal Article | LibreCat-ID: 29543
Djema, Walid, Laetitia Giraldi, Sofya Maslovskaya, and Olivier Bernard. “Turnpike Features in Optimal Selection of Species Represented by Quota Models.” Automatica 132 (2021). https://doi.org/10.1016/j.automatica.2021.109804.
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2021 | Conference Paper | LibreCat-ID: 22894 |
Offen, Christian, and Sina Ober-Blöbaum. “Bifurcation Preserving Discretisations of Optimal Control Problems.” IFAC-PapersOnLine, 2021. https://doi.org/10.1016/j.ifacol.2021.11.099.
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| arXiv
2021 | Conference Paper | LibreCat-ID: 21572
Ridderbusch, Steffen, Christian Offen, Sina Ober-Blöbaum, and Paul Goulart. “Learning ODE Models with Qualitative Structure Using Gaussian Processes .” In 2021 60th IEEE Conference on Decision and Control (CDC), 2896. IEEE, 2021. https://doi.org/10.1109/CDC45484.2021.9683426.
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2021 | Conference Paper | LibreCat-ID: 29868
Jiménez, F., and Sina Ober-Blöbaum. “Fractional Damping Through Restricted Calculus of Variations.” In Nichtlineare Sci 31, Vol. 46. J Nonlinear Sci , 2021.
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2020 | Journal Article | LibreCat-ID: 19938
McLachlan, Robert I, and Christian Offen. “Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation.” Foundations of Computational Mathematics 20, no. 6 (2020): 1363–1400. https://doi.org/10.1007/s10208-020-09454-z.
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2020 | Journal Article | LibreCat-ID: 19939 |
Kreusser, Lisa Maria, Robert I McLachlan, and Christian Offen. “Detection of High Codimensional Bifurcations in Variational PDEs.” Nonlinearity 33, no. 5 (2020): 2335–63. https://doi.org/10.1088/1361-6544/ab7293.
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2020 | Journal Article | LibreCat-ID: 29399
Limebeer, D. J. N., Sina Ober-Blöbaum, and F. H. Farshi. “Variational Integrators for Dissipative Systems.” IEEE Transactions on Automatic Control 65(4) (2020): 1381–96.
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2020 | Journal Article | LibreCat-ID: 29398
Hernández Castellanos, C. I. O., G. Schütze, J.-Q. Sun, Sina Ober-Blöbaum, and G. Morales-Luna. “Numerical Computation of Lightly Multi-Objective Robust Optimal Solutions by Means of Generalized Cell Mapping.” Mathematics 8(11):1959 (2020).
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2020 | Conference Paper | LibreCat-ID: 29422
Lishkova, Y., Sina Ober-Blöbaum, M. Cannon, and S. Leyendecker. “A Multirate Variational Approach to Simulation and Optimal Control for Flexible Spacecraft.” In Accepted for Publication in Proceedings of 2020 AAS/AIAA Astrodynamics Specialist Conference - Lake Tahoe, 2020.
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2020 | Conference Paper | LibreCat-ID: 29423
Faulwasser, T., K. Flaßkamp, Sina Ober-Blöbaum, and K. Worthmann. “A Dissipativity Characterization of Velocity Turnpikes in Optimal Control Problems for Mechanical Systems.” In 24th International Symposium on Mathematical Theory of Networks and Systems, 2020.
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2020 | Conference Paper | LibreCat-ID: 29424
Cresson, J. , F. Jiménez, and Sina Ober-Blöbaum. “Modelling of the Convection-Diffusion Equation through Fractional Restricted Calculus of Variations.” In 24th International Symposium on Mathematical Theory of Networks and Systems, 2020.
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2020 | Journal Article | LibreCat-ID: 29545
Jean, Frédéric, Sofya Maslovskaya, and Igor Zelenko. “On Weyl’s Type Theorems and Genericity of Projective Rigidity in Sub-Riemannian Geometry.” Geometriae Dedicata 213, no. 1 (2020): 295–314. https://doi.org/10.1007/s10711-020-00581-z.
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2020 | Conference Abstract | LibreCat-ID: 29546 |
Maslovskaya, Sofya, Jean-Baptiste Caillau, Walid Djema, Laetitia Giraldi, Jean-Luc Jean-Luc, and Jean-Baptiste Pomet. “The Turnpike Property in Maximization of Microbial Metabolite Production,” 2020.
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2020 | Book Chapter | LibreCat-ID: 29413
Flaßkamp, K., Sina Ober-Blöbaum, and S. Peitz. “Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach.” In Advances in Dynamics, Optimization and Computation, edited by Oliver Junge, Oliver Schütze, Gary Froyland, Sina Ober-Blöbaum, and Kathrin Padberg-Gehle, 209–37. Cham: Springer International Publishing, 2020.
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2019 | Journal Article | LibreCat-ID: 19945 |
McLachlan, Robert I, Christian Offen, and Benjamin K Tapley. “Symplectic Integration of PDEs Using Clebsch Variables.” Journal of Computational Dynamics 6, no. 1 (2019): 111–30. https://doi.org/10.3934/jcd.2019005.
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2019 | Conference Paper | LibreCat-ID: 29867
Faulwasser, Tim, K. Flaßkamp, Sina Ober-Blöbaum, and Karl Worthmann. “Towards Velocity Turnpikes in Optimal Control of Mechanical Systems.” edited by IFAC-PapersOnLine, 52(16):490–95, 2019.
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2018 | Journal Article | LibreCat-ID: 19935
McLachlan, Robert I, and Christian Offen. “Bifurcation of Solutions to Hamiltonian Boundary Value Problems.” Nonlinearity, 2018, 2895–2927. https://doi.org/10.1088/1361-6544/aab630.
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2018 | Journal Article | LibreCat-ID: 19937
McLachlan, Robert I, and Christian Offen. “Symplectic Integration of Boundary Value Problems.” Numerical Algorithms, 2018, 1219–33. https://doi.org/10.1007/s11075-018-0599-7.
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2018 | Conference Paper | LibreCat-ID: 29425
Jiménez, F., and Sina Ober-Blöbaum. “Necessary Optimality Conditions for Optimally Controlled Dissipative Mechanical Systems Modelled through Fractional Derivatives.” In 6th European Conference on Computational Mechanics, 2018.
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2018 | Conference Paper | LibreCat-ID: 29427
Jiménez, F., and Sina Ober-Blöbaum. “A Fractional Variational Approach for Modelling Dissipative Mechanical Systems Continuous and Discrete Settings.” In 6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018, edited by IFAC-PapersOnLine, 51(3):50–55, 2018.
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2018 | Preprint | LibreCat-ID: 19940 |
Offen, Christian. “Local Intersections of Lagrangian Manifolds Correspond to Catastrophe Theory.” ArXiv:1811.10165, n.d.
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| arXiv
2018 | Journal Article | LibreCat-ID: 19943 |
McLachlan, Robert I, and Christian Offen. “Hamiltonian Boundary Value Problems, Conformal Symplectic Symmetries, and Conjugate Loci.” New Zealand Journal of Mathematics 48 (2018): 83–99. https://doi.org/10.53733/34 .
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| arXiv
2017 | Conference Paper | LibreCat-ID: 29430
Gail, T., Sina Ober-Blöbaum, and S. Leyendecker. “Variational Multirate Integration in Discrete Mechanics and Optimal Control.” In ECCOMAS Thematic Conference on Multibody Dynamics, 2017.
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2016 | Conference Paper | LibreCat-ID: 29435
Wenger, T., Sina Ober-Blöbaum, and S. Leyendecker. “Variational Integrators of Mixed Order for Dynamical Systems with Multiple Time Scales and Split Potentials.” In ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering, 1818–31, 2016.
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2016 | Conference Paper | LibreCat-ID: 29432
Wenger, T., Sina Ober-Blöbaum, and S. Leyendecker. “Constrained Galerkin Variational Integrators and Modified Constrained Symplectic Runge-Kutta Methods.” In International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), 2016.
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2016 | Conference Paper | LibreCat-ID: 29433
Peitz, Sebastian, Sina Ober-Blöbaum, and M. Dellnitz. “Reduced Order Model Based Multiobjective Optimal Control of Fluids.” In Proceedings of International Congress of Theoretical and Applied Mechanics, 2016.
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2016 | Conference Paper | LibreCat-ID: 29436
Stellato, B. , Sina 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), 7228–33, 2016.
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2015 | Journal Article | LibreCat-ID: 29402
Flaßkamp, K., S. Hage-Packhäuser, and Sina Ober-Blöbaum. “Symmetry Exploiting Control of Hybrid Mechanical Systems.” Journal of Computational Dynamics 2(1) (2015): 25–50.
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2015 | Journal Article | LibreCat-ID: 29403
Campos, C. M., Sina Ober-Blöbaum, and E. Trélat. “High Order Variational Integrators in the Optimal Control of Mechanical Systems.” Discrete and Continuous Dynamical Systems 35(9) (2015): 4193–4223.
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2014 | Conference Paper | LibreCat-ID: 29440
Ober-Blöbaum, Sina, and H. Lindhorst. “Variational Formulation and Structure-Preserving Discretization of Nonlinear Electric Circuits.” In 21st International Symposium on Mathematical Theory of Networks and Systems, 2014.
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2014 | Conference Paper | LibreCat-ID: 29438
Gail, T., S. Leyendecker, and Sina Ober-Blöbaum. “On the Role of Quadrature Rules and System Dimensions in Variational Multirate Integrators.” In 3rd Joint Interntaional Conference on Multibody System Dynamics , 2014.
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2014 | Book Chapter | LibreCat-ID: 20085
Trächtler, Ansgar, Bernd Kleinjohann, Christian Heinzemann, Christoph Rasche, Claudia Priesterjahn, Dominik Steenken, Heike Wehrheim, et al. “Case Study.” In Dependability of Self-Optimizing Mechatronic Systems, edited by Jürgen Gausemeier, Franz Josef Rammig, Wilhelm Schäfer, and Walter Sextro, 173–88. Lecture Notes in Mechanical Engineering. Springer Berlin Heidelberg, 2014. https://doi.org/10.1007/978-3-642-53742-4_4.
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2014 | Journal Article | LibreCat-ID: 29404
Ober-Blöbaum, Sina, and N. Saake. “Construction and Analysis of Higher Order Galerkin Variational Integrators.” Advances in Computational Mathematics, 2014, 1–32.
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2014 | Book Chapter | LibreCat-ID: 20080
Anacker, H., M. Dellnitz, K. Flaßkamp, S. Grocsbrink, P. Hartmann, C. Heinzemann, C. Horenkamp, et al. “Methods for the Design and Development.” In Jürgen Gausemeier, Franz Josef Rammig, and Wilhelm Schäfer, Editors, Design Methodology for Intelligent Technical Systems, 183–350. Lecture Notes in Mechanical Engineering. Springer Berlin Heidelberg, 2014. https://doi.org/10.1007/978-3-642-45435-6_5.
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