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94 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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2024 | Preprint | LibreCat-ID: 53805 |
Offen, Christian. “Machine Learning of Continuous and Discrete Variational ODEs with Convergence Guarantee and Uncertainty Quantification,” n.d.
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| arXiv
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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| arXiv
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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| arXiv
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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| arXiv
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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| arXiv
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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