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20 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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| arXiv
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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| 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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| 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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| 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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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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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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| 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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2021 | Conference Paper | LibreCat-ID: 22894 |
C. Offen and S. Ober-Blöbaum, “Bifurcation preserving discretisations of optimal control problems,” vol. 54(19). pp. 334–339, 2021, doi: https://doi.org/10.1016/j.ifacol.2021.11.099.
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2021 | Conference Paper | LibreCat-ID: 21572
S. Ridderbusch, C. Offen, S. Ober-Blöbaum, and P. Goulart, “Learning ODE Models with Qualitative Structure Using Gaussian Processes ,” in 2021 60th IEEE Conference on Decision and Control (CDC), Austin, TX, USA, 2021, p. 2896, doi: 10.1109/CDC45484.2021.9683426.
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2020 | Journal Article | LibreCat-ID: 19938
R. I. McLachlan and C. Offen, “Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation,” Foundations of Computational Mathematics, vol. 20, no. 6, pp. 1363–1400, 2020.
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2020 | Journal Article | LibreCat-ID: 19939 |
L. M. Kreusser, R. I. McLachlan, and C. Offen, “Detection of high codimensional bifurcations in variational PDEs,” Nonlinearity, vol. 33, no. 5, pp. 2335–2363, 2020.
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2020 | Dissertation | LibreCat-ID: 19947 |
C. Offen, Analysis of Hamiltonian boundary value problems and symplectic integration. Palmerston North, New Zealand: Massey University, 2020.
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2019 | Journal Article | LibreCat-ID: 19945 |
R. I. McLachlan, C. Offen, and B. K. Tapley, “Symplectic integration of PDEs using Clebsch variables,” Journal of Computational Dynamics, vol. 6, no. 1, pp. 111–130, 2019.
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2018 | Journal Article | LibreCat-ID: 19935
R. I. McLachlan and C. Offen, “Bifurcation of solutions to Hamiltonian boundary value problems,” Nonlinearity, pp. 2895–2927, 2018.
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2018 | Journal Article | LibreCat-ID: 19937
R. I. McLachlan and C. Offen, “Symplectic integration of boundary value problems,” Numerical Algorithms, pp. 1219–1233, 2018.
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2018 | Preprint | LibreCat-ID: 19940 |
C. Offen, “Local intersections of Lagrangian manifolds correspond to catastrophe theory,” arXiv:1811.10165. .
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2018 | Journal Article | LibreCat-ID: 19943 |
R. I. McLachlan and C. Offen, “Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci,” New Zealand Journal of Mathematics, vol. 48, pp. 83–99, 2018, doi: 10.53733/34 .
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