Offen, Christian, and Sina Ober-Blöbaum. “Learning of Discrete Models of Variational PDEs from Data.”https://doi.org/10.1063/5.0172287__Chaos 34, no. 1 (2024).https://doi.org/10.1063/5.0172287 .

Offen, Christian, and Sina Ober-Blöbaum. “Learning Discrete Lagrangians for Variational PDEs from Data and Detection of Travelling Waves.”https://doi.org/10.1007/978-3-031-38271-0_57__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 .

Ober-Blöbaum, Sina, and Christian Offen. “Variational Learning of Euler–Lagrange Dynamics from Data.”https://doi.org/10.1016/j.cam.2022.114780__Journal of Computational and Applied Mathematics 421 (2023): 114780.https://doi.org/10.1016/j.cam.2022.114780 .

McLachlan, Robert, and Christian Offen. “Backward Error Analysis for Conjugate Symplectic Methods.”https://doi.org/10.3934/jgm.2023005__Journal of Geometric Mechanics 15, no. 1 (2023): 98–115.https://doi.org/10.3934/jgm.2023005 .

Dierkes, Eva, Christian Offen, Sina Ober-Blöbaum, and Kathrin Flaßkamp. “Hamiltonian Neural Networks with Automatic Symmetry Detection.”https://doi.org/10.1063/5.0142969__Chaos 33, no. 6 (2023).https://doi.org/10.1063/5.0142969 .

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.”https://doi.org/10.1137/21M1412682__SIAM Journal on Scientific Computing 45, no. 2 (2023): 9–95.https://doi.org/10.1137/21M1412682 .

Lishkova, Yana, Paul Scherer, Steffen Ridderbusch, Mateja Jamnik, Pietro Liò, Sina Ober-Blöbaum, and Christian Offen. “Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery.”https://doi.org/10.1016/j.ifacol.2023.10.1457__In IFAC-PapersOnLine, 56:3203–10. Elsevier, 2023.https://doi.org/10.1016/j.ifacol.2023.10.1457 .

McLachlan, Robert I, and Christian Offen. “Backward Error Analysis for Variational Discretisations of Partial  Differential Equations.”https://doi.org/10.3934/jgm.2022014__Journal of Geometric Mechanics 14, no. 3 (2022): 447–71.https://doi.org/10.3934/jgm.2022014 .

Offen, Christian, and Sina Ober-Blöbaum. “Symplectic Integration of Learned Hamiltonian Systems.”https://doi.org/10.1063/5.0065913__Chaos: An Interdisciplinary Journal of Nonlinear Science 32(1) (2022).https://doi.org/10.1063/5.0065913 .

Offen, Christian, and Sina Ober-Blöbaum. “Bifurcation Preserving Discretisations of Optimal Control Problems.”https://doi.org/10.1016/j.ifacol.2021.11.099__IFAC-PapersOnLine, 2021.https://doi.org/10.1016/j.ifacol.2021.11.099 .

Ridderbusch, Steffen, Christian Offen, Sina Ober-Blöbaum, and Paul Goulart. “Learning ODE Models with Qualitative Structure Using Gaussian Processes .”https://doi.org/10.1109/CDC45484.2021.9683426__In 2021 60th IEEE Conference on Decision and Control (CDC), 2896. IEEE, 2021.https://doi.org/10.1109/CDC45484.2021.9683426 .

McLachlan, Robert I, and Christian Offen. “Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation.”https://doi.org/10.1007/s10208-020-09454-z__Foundations of Computational Mathematics 20, no. 6 (2020): 1363–1400.https://doi.org/10.1007/s10208-020-09454-z .

Kreusser, Lisa Maria, Robert I McLachlan, and Christian Offen. “Detection of High Codimensional Bifurcations in Variational PDEs.”https://doi.org/10.1088/1361-6544/ab7293__Nonlinearity 33, no. 5 (2020): 2335–63.https://doi.org/10.1088/1361-6544/ab7293 .

Offen, Christian. Analysis of Hamiltonian Boundary Value Problems and Symplectic Integration. Palmerston North, New Zealand: Massey University, 2020.

McLachlan, Robert I, Christian Offen, and Benjamin K Tapley. “Symplectic Integration of PDEs Using Clebsch Variables.”https://doi.org/10.3934/jcd.2019005__Journal of Computational Dynamics 6, no. 1 (2019): 111–30.https://doi.org/10.3934/jcd.2019005 .

McLachlan, Robert I, and Christian Offen. “Bifurcation of Solutions to Hamiltonian Boundary Value Problems.”https://doi.org/10.1088/1361-6544/aab630__Nonlinearity, 2018, 2895–2927.https://doi.org/10.1088/1361-6544/aab630 .

McLachlan, Robert I, and Christian Offen. “Symplectic Integration of Boundary Value Problems.”https://doi.org/10.1007/s11075-018-0599-7__Numerical Algorithms, 2018, 1219–33.https://doi.org/10.1007/s11075-018-0599-7 .

Offen, Christian. “Local Intersections of Lagrangian Manifolds Correspond to Catastrophe  Theory.” ArXiv:1811.10165, n.d.

McLachlan, Robert I, and Christian Offen. “Hamiltonian Boundary Value Problems, Conformal Symplectic Symmetries, and Conjugate Loci.”https://doi.org/10.53733/34 __New Zealand Journal of Mathematics 48 (2018): 83–99.https://doi.org/10.53733/34  .