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157 Publications
2024 | Journal Article | LibreCat-ID: 46469 | 
C. Offen and S. Ober-Blöbaum, “Learning of discrete models of variational PDEs from data,” Chaos, vol. 34, no. 1, Art. no. 013104, 2024, doi: 10.1063/5.0172287.
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| DOI
| arXiv
2024 | Journal Article | LibreCat-ID: 53101 |
S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, R. T. S. M. de Almagro, and F. O. Szemenyei, “A new Lagrangian approach to control affine systems with a quadratic Lagrange term,” Journal of Computational Dynamics, vol. 0, no. 0, pp. 0–0, 2024, doi: 10.3934/jcd.2024017.
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2024 | Preprint | LibreCat-ID: 53805 |
C. Offen, “Machine learning of continuous and discrete variational ODEs with convergence guarantee and uncertainty quantification.” .
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| Files available
| arXiv
2023 | Conference Paper | LibreCat-ID: 42163 |
C. Offen and S. Ober-Blöbaum, “Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves,” in Geometric Science of Information, Saint-Malo, Palais du Grand Large, France, 2023, vol. 14071, pp. 569–579, doi: 10.1007/978-3-031-38271-0_57.
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| arXiv
2023 | Journal Article | LibreCat-ID: 29240 |
S. Ober-Blöbaum and C. Offen, “Variational Learning of Euler–Lagrange Dynamics from Data,” Journal of Computational and Applied Mathematics, vol. 421, p. 114780, 2023, doi: 10.1016/j.cam.2022.114780.
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| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 29236 |
R. McLachlan and C. Offen, “Backward error analysis for conjugate symplectic methods,” Journal of Geometric Mechanics, vol. 15, no. 1, pp. 98–115, 2023, doi: 10.3934/jgm.2023005.
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| arXiv
2023 | Journal Article | LibreCat-ID: 37654 |
E. Dierkes, C. Offen, S. Ober-Blöbaum, and K. Flaßkamp, “Hamiltonian Neural Networks with Automatic Symmetry Detection,” Chaos, vol. 33, no. 6, Art. no. 063115, 2023, doi: 10.1063/5.0142969.
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| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 21600
M. Dellnitz et al., “Efficient time stepping for numerical integration using reinforcement learning,” SIAM Journal on Scientific Computing, vol. 45, no. 2, pp. A579–A595, 2023, doi: 10.1137/21M1412682.
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| arXiv
2023 | Report | LibreCat-ID: 47147
Y. Lishkova, S. Ober-Blöbaum, and S. Leyendecker, Multirate Discrete Mechanics and Optimal Control for a Flexible Satelite Model . Invited Mathematical Magazine Article, 2023.
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2023 | Conference Paper | LibreCat-ID: 47148
Y. Lishkova, M. Bando, and S. Ober-Blöbaum, “Variational approach for modelling and optimal control of electrodynamic tether motion,” 2023.
LibreCat
2023 | Conference Paper | LibreCat-ID: 34135 |
Y. Lishkova et al., “Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery,” in IFAC-PapersOnLine, Yokohama, Japan, 2023, vol. 56, no. 2, pp. 3203–3210, doi: 10.1016/j.ifacol.2023.10.1457.
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| arXiv
2022 | Journal Article | LibreCat-ID: 30490
J. Cresson, F. Jiménez, and S. Ober-Blöbaum, “Continuous and discrete Noether’s fractional conserved quantities for restricted calculus of variations,” AIMS, vol. 14(1), pp. 57–89, 2022.
LibreCat
2022 | Journal Article | LibreCat-ID: 30861
J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, and J.-B. Pomet, “Turnpike Property in Optimal Microbial Metabolite Production,” Journal of Optimization Theory and Applications, 2022, doi: 10.1007/s10957-022-02023-0.
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| DOI
2022 | Journal Article | LibreCat-ID: 35206
B. Bonnard, J. Rouot, and B. E. Wembe Moafo, “Accessibility properties of abnormal geodesics in optimal control illustrated by two case studies,” Mathematical Control and Related Fields, vol. 0, no. 0, pp. 0–0, 2022, doi: 10.3934/mcrf.2022052.
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| DOI
2022 | Journal Article | LibreCat-ID: 33869
B. Bonnard, O. Cots, J. Gergaud, and B. E. Wembe Moafo, “Abnormal geodesics in 2D-Zermelo navigation problems in the case of revolution and the fan shape of the small time balls,” Systems & Control Letters, vol. 161, Art. no. 105140, 2022, doi: 10.1016/j.sysconle.2022.105140.
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2022 | Journal Article | LibreCat-ID: 44624
T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, M. Schaller, and K. Worthmann, “Manifold turnpikes, trims, and symmetries,” Mathematics of Control, Signals, and Systems, vol. 34, pp. 759–788, 2022.
LibreCat
2022 | Journal Article | LibreCat-ID: 39400
J. Cresson and K. Hariz Belgacem, “About the structure of the discrete and continuous Eringen’s nonlocal elastica,” Mathematics and Mechanics of Solids, Art. no. 108128652211080, 2022, doi: 10.1177/10812865221108094.
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| DOI
2022 | Journal Article | LibreCat-ID: 19941 |
R. I. McLachlan and C. Offen, “Backward error analysis for variational discretisations of partial differential equations,” Journal of Geometric Mechanics, vol. 14, no. 3, pp. 447–471, 2022, doi: 10.3934/jgm.2022014.
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| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 23382 |
C. Offen and S. Ober-Blöbaum, “Symplectic integration of learned Hamiltonian systems,” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 32(1), 2022, doi: 10.1063/5.0065913.
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| arXiv
2022 | Conference Paper | LibreCat-ID: 30733
N. Vertovec, S. Ober-Blöbaum, and K. Margellos, “Verification of safety critical control policies using kernel methods,” London, 2022, pp. 1870–1875.
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