C. Offen and S. Ober-Blöbaum, “Learning of discrete models of variational PDEs from data,”10.1063/5.0172287__Chaos, vol. 34, no. 1, Art. no. 013104, 2024, doi:10.1063/5.0172287 .
LibreCat: /record/46469
DOI: 10.1063/5.0172287
arXiv: 2308.05082 

C. Offen, “Machine learning of continuous and discrete variational ODEs with convergence guarantee and uncertainty quantification.” .
LibreCat: /record/53805
arXiv: arXiv:2404.19626

C. Offen and S. Ober-Blöbaum, “Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves,”10.1007/978-3-031-38271-0_57__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 .
LibreCat: /record/42163
DOI: 10.1007/978-3-031-38271-0_57
arXiv: 2302.08232 

S. Ober-Blöbaum and C. Offen, “Variational Learning of Euler–Lagrange Dynamics from Data,”10.1016/j.cam.2022.114780__Journal of Computational and Applied Mathematics, vol. 421, p. 114780, 2023, doi:10.1016/j.cam.2022.114780 .
LibreCat: /record/29240
DOI: 10.1016/j.cam.2022.114780
arXiv: 2112.12619

R. McLachlan and C. Offen, “Backward error analysis for conjugate symplectic methods,”10.3934/jgm.2023005__Journal of Geometric Mechanics, vol. 15, no. 1, pp. 98–115, 2023, doi:10.3934/jgm.2023005 .
LibreCat: /record/29236
DOI: 10.3934/jgm.2023005
arXiv: 2201.03911

E. Dierkes, C. Offen, S. Ober-Blöbaum, and K. Flaßkamp, “Hamiltonian Neural Networks with Automatic Symmetry Detection,”10.1063/5.0142969__Chaos, vol. 33, no. 6, Art. no. 063115, 2023, doi:10.1063/5.0142969 .
LibreCat: /record/37654
DOI: 10.1063/5.0142969
arXiv: 2301.07928

M. Dellnitz et al., “Efficient time stepping for numerical integration using reinforcement  learning,”10.1137/21M1412682__SIAM Journal on Scientific Computing, vol. 45, no. 2, pp. 9–5, 2023, doi:10.1137/21M1412682 .
LibreCat: /record/21600
DOI: 10.1137/21M1412682
arXiv: arXiv:2104.03562

Y. Lishkova et al., “Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery,”10.1016/j.ifacol.2023.10.1457__in IFAC-PapersOnLine,10.1016/j.ifacol.2023.10.1457__Yokohama, Japan, 2023, vol. 56, no. 2, pp. 3203–3210, doi:10.1016/j.ifacol.2023.10.1457 .
LibreCat: /record/34135
DOI: 10.1016/j.ifacol.2023.10.1457
arXiv: 2211.10830

R. I. McLachlan and C. Offen, “Backward error analysis for variational discretisations of partial  differential equations,”10.3934/jgm.2022014__Journal of Geometric Mechanics, vol. 14, no. 3, pp. 447–471, 2022, doi:10.3934/jgm.2022014 .
LibreCat: /record/19941
DOI: 10.3934/jgm.2022014
arXiv: 2006.14172

C. Offen and S. Ober-Blöbaum, “Symplectic integration of learned Hamiltonian systems,”10.1063/5.0065913__Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 32(1), 2022, doi:10.1063/5.0065913 .
LibreCat: /record/23382
DOI: 10.1063/5.0065913
arXiv: 2108.02492

C. Offen and S. Ober-Blöbaum, “Bifurcation preserving discretisations of optimal control problems,”https://doi.org/10.1016/j.ifacol.2021.11.099__vol. 54(19). pp. 334–339, 2021, doi:https://doi.org/10.1016/j.ifacol.2021.11.099 .
LibreCat: /record/22894
DOI: https://doi.org/10.1016/j.ifacol.2021.11.099
arXiv: 2107.13853

S. Ridderbusch, C. Offen, S. Ober-Blöbaum, and P. Goulart, “Learning ODE Models with Qualitative Structure Using Gaussian Processes ,”10.1109/CDC45484.2021.9683426__in 2021 60th IEEE Conference on Decision and Control (CDC), Austin, TX, USA, 2021, p. 2896, doi:10.1109/CDC45484.2021.9683426 .
LibreCat: /record/21572
DOI: 10.1109/CDC45484.2021.9683426
arXiv: 2011.05364

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.
LibreCat: /record/19938
DOI: 10.1007/s10208-020-09454-z

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.
LibreCat: /record/19939
DOI: 10.1088/1361-6544/ab7293

C. Offen, Analysis of Hamiltonian boundary value problems and symplectic integration. Palmerston North, New Zealand: Massey University, 2020.
LibreCat: /record/19947

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.
LibreCat: /record/19945
DOI: 10.3934/jcd.2019005

R. I. McLachlan and C. Offen, “Bifurcation of solutions to Hamiltonian boundary value problems,” Nonlinearity, pp. 2895–2927, 2018.
LibreCat: /record/19935
DOI: 10.1088/1361-6544/aab630

R. I. McLachlan and C. Offen, “Symplectic integration of boundary value problems,” Numerical Algorithms, pp. 1219–1233, 2018.
LibreCat: /record/19937
DOI: 10.1007/s11075-018-0599-7

C. Offen, “Local intersections of Lagrangian manifolds correspond to catastrophe  theory,” arXiv:1811.10165. .
LibreCat: /record/19940
arXiv: 1811.10165

R. I. McLachlan and C. Offen, “Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci,”10.53733/34 __New Zealand Journal of Mathematics, vol. 48, pp. 83–99, 2018, doi:10.53733/34  .
LibreCat: /record/19943
DOI: 10.53733/34 
arXiv: 1804.07479