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21 Publications
2024 | Journal Article | LibreCat-ID: 46469 | 
Learning of discrete models of variational PDEs from data
C. Offen, S. Ober-Blöbaum, Chaos 34 (2024).
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| arXiv
C. Offen, S. Ober-Blöbaum, Chaos 34 (2024).
2024 | Preprint | LibreCat-ID: 55159 |
Machine learning of discrete field theories with guaranteed convergence and uncertainty quantification
C. Offen, (n.d.).
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| arXiv
C. Offen, (n.d.).
2024 | Preprint | LibreCat-ID: 53805 |
Machine learning of continuous and discrete variational ODEs with convergence guarantee and uncertainty quantification
C. Offen, (n.d.).
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| arXiv
C. Offen, (n.d.).
2023 | Conference Paper | LibreCat-ID: 34135 |
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.
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Y. Lishkova, P. Scherer, S. Ridderbusch, M. Jamnik, P. Liò, S. Ober-Blöbaum, C. Offen, in: IFAC-PapersOnLine, Elsevier, 2023, pp. 3203–3210.
2023 | Conference Paper | LibreCat-ID: 42163 |
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.
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C. Offen, S. Ober-Blöbaum, in: F. Nielsen, F. Barbaresco (Eds.), Geometric Science of Information, Springer, Cham., 2023, pp. 569–579.
2023 | Journal Article | LibreCat-ID: 29240 |
Variational Learning of Euler–Lagrange Dynamics from Data
S. Ober-Blöbaum, C. Offen, Journal of Computational and Applied Mathematics 421 (2023) 114780.
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| arXiv
S. Ober-Blöbaum, C. Offen, Journal of Computational and Applied Mathematics 421 (2023) 114780.
2023 | Journal Article | LibreCat-ID: 29236 |
Backward error analysis for conjugate symplectic methods
R. McLachlan, C. Offen, Journal of Geometric Mechanics 15 (2023) 98–115.
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| arXiv
R. McLachlan, C. Offen, Journal of Geometric Mechanics 15 (2023) 98–115.
2023 | Journal Article | LibreCat-ID: 37654 |
Hamiltonian Neural Networks with Automatic Symmetry Detection
E. Dierkes, C. Offen, S. Ober-Blöbaum, K. Flaßkamp, Chaos 33 (2023).
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| arXiv
E. Dierkes, C. Offen, S. Ober-Blöbaum, K. Flaßkamp, Chaos 33 (2023).
2023 | Journal Article | LibreCat-ID: 21600
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) A579–A595.
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M. Dellnitz, E. Hüllermeier, M. Lücke, S. Ober-Blöbaum, C. Offen, S. Peitz, K. Pfannschmidt, SIAM Journal on Scientific Computing 45 (2023) A579–A595.
2022 | Journal Article | LibreCat-ID: 19941 |
Backward error analysis for variational discretisations of partial differential equations
R.I. McLachlan, C. Offen, Journal of Geometric Mechanics 14 (2022) 447–471.
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| arXiv
R.I. McLachlan, C. Offen, Journal of Geometric Mechanics 14 (2022) 447–471.
2022 | Journal Article | LibreCat-ID: 23382 |
Symplectic integration of learned Hamiltonian systems
C. Offen, S. Ober-Blöbaum, Chaos: An Interdisciplinary Journal of Nonlinear Science 32(1) (2022).
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C. Offen, S. Ober-Blöbaum, Chaos: An Interdisciplinary Journal of Nonlinear Science 32(1) (2022).
2021 | Conference Paper | LibreCat-ID: 22894 |
Bifurcation preserving discretisations of optimal control problems
C. Offen, S. Ober-Blöbaum, 54(19) (2021) 334–339.
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C. Offen, S. Ober-Blöbaum, 54(19) (2021) 334–339.
2021 | Conference Paper | LibreCat-ID: 21572
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.
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S. Ridderbusch, C. Offen, S. Ober-Blöbaum, P. Goulart, in: 2021 60th IEEE Conference on Decision and Control (CDC), IEEE, 2021, p. 2896.
2020 | Journal Article | LibreCat-ID: 19938
Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation
R.I. McLachlan, C. Offen, Foundations of Computational Mathematics 20 (2020) 1363–1400.
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R.I. McLachlan, C. Offen, Foundations of Computational Mathematics 20 (2020) 1363–1400.
2020 | Journal Article | LibreCat-ID: 19939 |
Detection of high codimensional bifurcations in variational PDEs
L.M. Kreusser, R.I. McLachlan, C. Offen, Nonlinearity 33 (2020) 2335–2363.
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L.M. Kreusser, R.I. McLachlan, C. Offen, Nonlinearity 33 (2020) 2335–2363.
2020 | Dissertation | LibreCat-ID: 19947 |
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.
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C. Offen, Analysis of Hamiltonian Boundary Value Problems and Symplectic Integration, Massey University, Palmerston North, New Zealand, 2020.
2019 | Journal Article | LibreCat-ID: 19945 |
Symplectic integration of PDEs using Clebsch variables
R.I. McLachlan, C. Offen, B.K. Tapley, Journal of Computational Dynamics 6 (2019) 111–130.
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R.I. McLachlan, C. Offen, B.K. Tapley, Journal of Computational Dynamics 6 (2019) 111–130.
2018 | Journal Article | LibreCat-ID: 19935
Bifurcation of solutions to Hamiltonian boundary value problems
R.I. McLachlan, C. Offen, Nonlinearity (2018) 2895–2927.
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R.I. McLachlan, C. Offen, Nonlinearity (2018) 2895–2927.
2018 | Journal Article | LibreCat-ID: 19937
Symplectic integration of boundary value problems
R.I. McLachlan, C. Offen, Numerical Algorithms (2018) 1219–1233.
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R.I. McLachlan, C. Offen, Numerical Algorithms (2018) 1219–1233.
2018 | Preprint | LibreCat-ID: 19940 |
Local intersections of Lagrangian manifolds correspond to catastrophe theory
C. Offen, ArXiv:1811.10165 (n.d.).
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C. Offen, ArXiv:1811.10165 (n.d.).