Symplectic integration of learned Hamiltonian systems C Offen, S Ober-Blöbaum Chaos: An Interdisciplinary Journal of Nonlinear Science 32 (1), 2022 | 36 | 2022 |
Bifurcation of solutions to Hamiltonian boundary value problems RI McLachlan, C Offen Nonlinearity, 2895–2927, 2018 | 18 | 2018 |
Variational learning of Euler–Lagrange dynamics from data S Ober-Blöbaum, C Offen Journal of Computational and Applied Mathematics 421, 114780, 2023 | 14* | 2023 |
Learning ODE models with qualitative structure using Gaussian processes S Ridderbusch, C Offen, S Ober-Blöbaum, P Goulart 2021 60th IEEE Conference on Decision and Control (CDC), 2896-2896, 2021 | 14 | 2021 |
Preservation of bifurcations of Hamiltonian boundary value problems under discretisation RI McLachlan, C Offen Foundations of Computational Mathematics 20 (6), 1363-1400, 2020 | 11* | 2020 |
Symplectic integration of boundary value problems RI McLachlan, C Offen Numerical Algorithms, 2018 | 10 | 2018 |
Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci RI McLachlan, C Offen New Zealand Journal of Mathematics 48, 83-99, 2018 | 9 | 2018 |
Efficient time-stepping for numerical integration using reinforcement learning M Dellnitz, E Hüllermeier, M Lücke, S Ober-Blöbaum, C Offen, S Peitz, ... SIAM Journal on Scientific Computing 45 (2), A579-A595, 2023 | 7 | 2023 |
Backward error analysis for variational discretisations of partial differential equations RI McLachlan, C Offen arXiv preprint arXiv:2006.14172, 2020 | 7 | 2020 |
Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves C Offen, S Ober-Blöbaum arXiv preprint arXiv:2302.08232, 2023 | 6 | 2023 |
Detection of high codimensional bifurcations in variational PDEs LM Kreusser, RI McLachlan, C Offen Nonlinearity 33 (5), 2335, 2020 | 6 | 2020 |
Learning of discrete models of variational PDEs from data C Offen, S Ober-Blöbaum Chaos: An Interdisciplinary Journal of Nonlinear Science 34 (1), 2024 | 4 | 2024 |
Hamiltonian neural networks with automatic symmetry detection E Dierkes, C Offen, S Ober-Blöbaum, K Flaßkamp Chaos: An Interdisciplinary Journal of Nonlinear Science 33 (6), 2023 | 4 | 2023 |
Discrete Lagrangian neural networks with automatic symmetry discovery Y Lishkova, P Scherer, S Ridderbusch, M Jamnik, P Liò, S Ober-Blöbaum, ... IFAC-PapersOnLine 56 (2), 3203-3210, 2023 | 4 | 2023 |
Bifurcation preserving discretisations of optimal control problems C Offen, S Ober-Blöbaum IFAC-PapersOnLine 54 (19), 334-339, 2021 | 4 | 2021 |
Symplectic integration of PDEs using Clebsch variables RI McLachlan, C Offen, BK Tapley arXiv preprint arXiv:1810.01627, 2018 | 4 | 2018 |
Backward error analysis for conjugate symplectic methods RI McLachlan, C Offen arXiv preprint arXiv:2201.03911, 2022 | 3 | 2022 |
Analysis of Hamiltonian boundary value problems and symplectic integration: a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy … C Offen Massey University, 2020 | 3* | 2020 |
Machine learning of continuous and discrete variational ODEs with convergence guarantee and uncertainty quantification C Offen arXiv preprint arXiv:2404.19626, 2024 | 2 | 2024 |
Local intersections of Lagrangian manifolds correspond to catastrophe theory C Offen arXiv preprint arXiv:1811.10165, 2018 | 1 | 2018 |