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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, vol. 34, no. 1, 013104, AIP Publishing, 2024, doi:10.1063/5.0172287.
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| arXiv
2024 | Journal Article | LibreCat-ID: 53101 |
Leyendecker, Sigrid, et al. “A New Lagrangian Approach to Control Affine Systems with a Quadratic Lagrange Term.” Journal of Computational Dynamics, vol. 0, no. 0, American Institute of Mathematical Sciences (AIMS), 2024, pp. 0–0, doi: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.” Geometric Science of Information, edited by F Nielsen and F Barbaresco, vol. 14071, Springer, Cham., 2023, pp. 569–79, doi: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, vol. 421, Elsevier, 2023, p. 114780, doi: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, vol. 15, no. 1, AIMS Press, 2023, pp. 98–115, doi:10.3934/jgm.2023005.
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| arXiv
2023 | Journal Article | LibreCat-ID: 37654 |
Dierkes, Eva, et al. “Hamiltonian Neural Networks with Automatic Symmetry Detection.” Chaos, vol. 33, no. 6, 063115, AIP Publishing, 2023, doi:10.1063/5.0142969.
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| arXiv
2023 | Journal Article | LibreCat-ID: 21600
Dellnitz, Michael, et al. “Efficient Time Stepping for Numerical Integration Using Reinforcement Learning.” SIAM Journal on Scientific Computing, vol. 45, no. 2, 2023, pp. A579–95, doi:10.1137/21M1412682.
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| arXiv
2023 | Conference Paper | LibreCat-ID: 34135 |
Lishkova, Yana, et al. “Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery.” IFAC-PapersOnLine, vol. 56, no. 2, Elsevier, 2023, pp. 3203–10, doi:10.1016/j.ifacol.2023.10.1457.
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| arXiv
2022 | Journal Article | LibreCat-ID: 30490
Cresson, Jacky, et al. “Continuous and Discrete Noether’s Fractional Conserved Quantities for Restricted Calculus of Variations.” AIMS, vol. 14(1), 2022, pp. 57–89.
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2022 | Journal Article | LibreCat-ID: 30861
Caillau, Jean-Baptiste, et al. “Turnpike Property in Optimal Microbial Metabolite Production.” Journal of Optimization Theory and Applications, Springer Science and Business Media LLC, 2022, doi:10.1007/s10957-022-02023-0.
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2022 | Journal Article | LibreCat-ID: 44624
Faulwasser, Timm, et al. “Manifold Turnpikes, Trims, and Symmetries.” Mathematics of Control, Signals, and Systems, vol. 34, Springer, 2022, pp. 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, vol. 14, no. 3, AIMS, 2022, pp. 447–71, doi: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, vol. 32(1), AIP, 2022, doi:10.1063/5.0065913.
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| arXiv
2022 | Conference Paper | LibreCat-ID: 30733
Vertovec, Nikolaus, et al. Verification of Safety Critical Control Policies Using Kernel Methods. 2022, pp. 1870–75.
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2021 | Conference Paper | LibreCat-ID: 29421
Ober-Blöbaum, Sina, and M. Vermeeren. “Superconvergence of Galerkin Variational Integrators.” 7th IIFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC, edited by IFAC-PapersOnLine, vol. 54(19), 2021, pp. 327–33.
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2021 | Journal Article | LibreCat-ID: 29543
Djema, Walid, et al. “Turnpike Features in Optimal Selection of Species Represented by Quota Models.” Automatica, vol. 132, 109804, Elsevier BV, 2021, doi: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. 2021, pp. 334–39, doi:https://doi.org/10.1016/j.ifacol.2021.11.099.
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| arXiv
2021 | Conference Paper | LibreCat-ID: 21572
Ridderbusch, Steffen, et al. “Learning ODE Models with Qualitative Structure Using Gaussian Processes .” 2021 60th IEEE Conference on Decision and Control (CDC), IEEE, 2021, p. 2896, doi: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.” Nichtlineare Sci 31, vol. 46, 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, vol. 20, no. 6, 2020, pp. 1363–400, doi:10.1007/s10208-020-09454-z.
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2020 | Journal Article | LibreCat-ID: 19939 |
Kreusser, Lisa Maria, et al. “Detection of High Codimensional Bifurcations in Variational PDEs.” Nonlinearity, vol. 33, no. 5, 2020, pp. 2335–63, doi:10.1088/1361-6544/ab7293.
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2020 | Journal Article | LibreCat-ID: 29399
Limebeer, D. J. N., et al. “Variational Integrators for Dissipative Systems.” IEEE Transactions on Automatic Control, vol. 65(4), 2020, pp. 1381–96.
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2020 | Journal Article | LibreCat-ID: 29398
Hernández Castellanos, C. I. O., et al. “Numerical Computation of Lightly Multi-Objective Robust Optimal Solutions by Means of Generalized Cell Mapping.” Mathematics, vol. 8(11):1959, 2020.
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2020 | Conference Paper | LibreCat-ID: 29422
Lishkova, Y., et al. “A Multirate Variational Approach to Simulation and Optimal Control for Flexible Spacecraft.” 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., et al. “A Dissipativity Characterization of Velocity Turnpikes in Optimal Control Problems for Mechanical Systems.” 24th International Symposium on Mathematical Theory of Networks and Systems, 2020.
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2020 | Conference Paper | LibreCat-ID: 29424
Cresson, J., et al. “Modelling of the Convection-Diffusion Equation through Fractional Restricted Calculus of Variations.” 24th International Symposium on Mathematical Theory of Networks and Systems, 2020.
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2020 | Journal Article | LibreCat-ID: 29545
Jean, Frédéric, et al. “On Weyl’s Type Theorems and Genericity of Projective Rigidity in Sub-Riemannian Geometry.” Geometriae Dedicata, vol. 213, no. 1, Springer Science and Business Media LLC, 2020, pp. 295–314, doi:10.1007/s10711-020-00581-z.
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2020 | Conference Abstract | LibreCat-ID: 29546 |
Maslovskaya, Sofya, et al. The Turnpike Property in Maximization of Microbial Metabolite Production. 2020.
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2020 | Book Chapter | LibreCat-ID: 29413
Flaßkamp, K., et al. “Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach.” Advances in Dynamics, Optimization and Computation, edited by Oliver Junge et al., Springer International Publishing, 2020, pp. 209–37.
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2019 | Journal Article | LibreCat-ID: 19945 |
McLachlan, Robert I., et al. “Symplectic Integration of PDEs Using Clebsch Variables.” Journal of Computational Dynamics, vol. 6, no. 1, American Institute of Mathematical Sciences (AIMS), 2019, pp. 111–30, doi:10.3934/jcd.2019005.
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2019 | Conference Paper | LibreCat-ID: 29867
Faulwasser, Tim, et al. Towards Velocity Turnpikes in Optimal Control of Mechanical Systems. Edited by IFAC-PapersOnLine, vol. 52(16), 2019, pp. 490–95.
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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, pp. 2895–927, doi: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, pp. 1219–33, doi: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.” 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.” 6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018, edited by IFAC-PapersOnLine, vol. 51(3), 2018, pp. 50–55.
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2018 | Preprint | LibreCat-ID: 19940 |
Offen, Christian. “Local Intersections of Lagrangian Manifolds Correspond to Catastrophe Theory.” ArXiv:1811.10165.
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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, vol. 48, 2018, pp. 83–99, doi:10.53733/34 .
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| arXiv
2017 | Conference Paper | LibreCat-ID: 29430
Gail, T., et al. “Variational Multirate Integration in Discrete Mechanics and Optimal Control.” ECCOMAS Thematic Conference on Multibody Dynamics, 2017.
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2016 | Conference Paper | LibreCat-ID: 29435
Wenger, T., et al. “Variational Integrators of Mixed Order for Dynamical Systems with Multiple Time Scales and Split Potentials.” ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering, 2016, pp. 1818–31.
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2016 | Conference Paper | LibreCat-ID: 29432
Wenger, T., et al. “Constrained Galerkin Variational Integrators and Modified Constrained Symplectic Runge-Kutta Methods.” International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), 2016.
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2016 | Conference Paper | LibreCat-ID: 29433
Peitz, Sebastian, et al. “Reduced Order Model Based Multiobjective Optimal Control of Fluids.” Proceedings of International Congress of Theoretical and Applied Mechanics, 2016.
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2016 | Conference Paper | LibreCat-ID: 29436
Stellato, B., et al. “Optimal Control of Switching Times in Switched Linear Systems.” 2016 IEEE 55th Conference on Decision and Control (CDC), 2016, pp. 7228–33.
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2015 | Journal Article | LibreCat-ID: 29402
Flaßkamp, K., et al. “Symmetry Exploiting Control of Hybrid Mechanical Systems.” Journal of Computational Dynamics, vol. 2(1), 2015, pp. 25–50.
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2015 | Journal Article | LibreCat-ID: 29403
Campos, C. M., et al. “High Order Variational Integrators in the Optimal Control of Mechanical Systems.” Discrete and Continuous Dynamical Systems, vol. 35(9), 2015, pp. 4193–223.
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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.” 21st International Symposium on Mathematical Theory of Networks and Systems, 2014.
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2014 | Conference Paper | LibreCat-ID: 29438
Gail, T., et al. “On the Role of Quadrature Rules and System Dimensions in Variational Multirate Integrators.” 3rd Joint Interntaional Conference on Multibody System Dynamics , 2014.
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2014 | Book Chapter | LibreCat-ID: 20085
Trächtler, Ansgar, et al. “Case Study.” Dependability of Self-Optimizing Mechatronic Systems, edited by Jürgen Gausemeier et al., Springer Berlin Heidelberg, 2014, pp. 173–88, doi: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, pp. 1–32.
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2014 | Book Chapter | LibreCat-ID: 20080
Anacker, H., et al. “Methods for the Design and Development.” Jürgen Gausemeier, Franz Josef Rammig, and Wilhelm Schäfer, Editors, Design Methodology for Intelligent Technical Systems, Springer Berlin Heidelberg, 2014, pp. 183–350, doi:10.1007/978-3-642-45435-6_5.
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