Learning of discrete models of variational PDEs from data
C. Offen, S. Ober-Blöbaum, Chaos 34 (2024).
LibreCat: /record/46469
DOI: 10.1063/5.0172287
arXiv: 2308.05082 

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

Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves
C. Offen, S. Ober-Blöbaum, in: F. Nielsen, F. Barbaresco (Eds.), Geometric Science of Information, Springer, Cham., 2023, pp. 569–579.
LibreCat: /record/42163
DOI: 10.1007/978-3-031-38271-0_57
arXiv: 2302.08232 

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

Backward error analysis for conjugate symplectic methods
R. McLachlan, C. Offen, Journal of Geometric Mechanics 15 (2023) 98–115.
LibreCat: /record/29236
DOI: 10.3934/jgm.2023005
arXiv: 2201.03911

Hamiltonian Neural Networks with Automatic Symmetry Detection
E. Dierkes, C. Offen, S. Ober-Blöbaum, K. Flaßkamp, Chaos 33 (2023).
LibreCat: /record/37654
DOI: 10.1063/5.0142969
arXiv: 2301.07928

Efficient time stepping for numerical integration using reinforcement  learning
M. Dellnitz, E. Hüllermeier, M. Lücke, S. Ober-Blöbaum, C. Offen, S. Peitz, K. Pfannschmidt, SIAM Journal on Scientific Computing 45 (2023) 9–5.
LibreCat: /record/21600
DOI: 10.1137/21M1412682
arXiv: arXiv:2104.03562

Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery
Y. Lishkova, P. Scherer, S. Ridderbusch, M. Jamnik, P. Liò, S. Ober-Blöbaum, C. Offen, in: IFAC-PapersOnLine, Elsevier, 2023, pp. 3203–3210.
LibreCat: /record/34135
DOI: 10.1016/j.ifacol.2023.10.1457
arXiv: 2211.10830

Backward error analysis for variational discretisations of partial  differential equations
R.I. McLachlan, C. Offen, Journal of Geometric Mechanics 14 (2022) 447–471.
LibreCat: /record/19941
DOI: 10.3934/jgm.2022014
arXiv: 2006.14172

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

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

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

Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation
R.I. McLachlan, C. Offen, Foundations of Computational Mathematics 20 (2020) 1363–1400.
LibreCat: /record/19938
DOI: 10.1007/s10208-020-09454-z

Detection of high codimensional bifurcations in variational PDEs
L.M. Kreusser, R.I. McLachlan, C. Offen, Nonlinearity 33 (2020) 2335–2363.
LibreCat: /record/19939
DOI: 10.1088/1361-6544/ab7293

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

Symplectic integration of PDEs using Clebsch variables
R.I. McLachlan, C. Offen, B.K. Tapley, Journal of Computational Dynamics 6 (2019) 111–130.
LibreCat: /record/19945
DOI: 10.3934/jcd.2019005

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

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

Local intersections of Lagrangian manifolds correspond to catastrophe  theory
C. Offen, ArXiv:1811.10165 (n.d.).
LibreCat: /record/19940
arXiv: 1811.10165

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