Christian Offen

Numerik und Steuerung
christian.offen@uni-paderborn.de
ID
85279

19 Publications

Mark all

[19]
2024 | Journal Article | LibreCat-ID: 46469 | OA
Offen, C., & Ober-Blöbaum, S. (2024). Learning of discrete models of variational PDEs from data. Chaos, 34(1), Article 013104. https://doi.org/10.1063/5.0172287
LibreCat | Files available | DOI | arXiv
 
[18]
2023 | Conference Paper | LibreCat-ID: 42163 | OA
Offen, C., & Ober-Blöbaum, S. (2023). Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves. In F. Nielsen & F. Barbaresco (Eds.), Geometric Science of Information (Vol. 14071, pp. 569–579). Springer, Cham. https://doi.org/10.1007/978-3-031-38271-0_57
LibreCat | Files available | DOI | arXiv
 
[17]
2023 | Journal Article | LibreCat-ID: 29240 | OA
Ober-Blöbaum, S., & Offen, C. (2023). Variational Learning of Euler–Lagrange Dynamics from Data. Journal of Computational and Applied Mathematics, 421, 114780. https://doi.org/10.1016/j.cam.2022.114780
LibreCat | Files available | DOI | arXiv
 
[16]
2023 | Journal Article | LibreCat-ID: 29236 | OA
McLachlan, R., & Offen, C. (2023). Backward error analysis for conjugate symplectic methods. Journal of Geometric Mechanics, 15(1), 98–115. https://doi.org/10.3934/jgm.2023005
LibreCat | Files available | DOI | arXiv
 
[15]
2023 | Journal Article | LibreCat-ID: 37654 | OA
Dierkes, E., Offen, C., Ober-Blöbaum, S., & Flaßkamp, K. (2023). Hamiltonian Neural Networks with Automatic Symmetry Detection. Chaos, 33(6), Article 063115. https://doi.org/10.1063/5.0142969
LibreCat | Files available | DOI | arXiv
 
[14]
2023 | Journal Article | LibreCat-ID: 21600
Dellnitz, M., Hüllermeier, E., Lücke, M., Ober-Blöbaum, S., Offen, C., Peitz, S., & Pfannschmidt, K. (2023). Efficient time stepping for numerical integration using reinforcement  learning. SIAM Journal on Scientific Computing, 45(2), A579–A595. https://doi.org/10.1137/21M1412682
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[13]
2023 | Conference Paper | LibreCat-ID: 34135 | OA
Lishkova, Y., Scherer, P., Ridderbusch, S., Jamnik, M., Liò, P., Ober-Blöbaum, S., & Offen, C. (2023). Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery. IFAC-PapersOnLine, 56(2), 3203–3210. https://doi.org/10.1016/j.ifacol.2023.10.1457
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[12]
2022 | Journal Article | LibreCat-ID: 19941 | OA
McLachlan, R. I., & Offen, C. (2022). Backward error analysis for variational discretisations of partial  differential equations. Journal of Geometric Mechanics, 14(3), 447–471. https://doi.org/10.3934/jgm.2022014
LibreCat | Files available | DOI | arXiv
 
[11]
2022 | Journal Article | LibreCat-ID: 23382 | OA
Offen, C., & Ober-Blöbaum, S. (2022). Symplectic integration of learned Hamiltonian systems. Chaos: An Interdisciplinary Journal of Nonlinear Science, 32(1). https://doi.org/10.1063/5.0065913
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[10]
2021 | Conference Paper | LibreCat-ID: 22894 | OA
Offen, C., & Ober-Blöbaum, S. (2021). Bifurcation preserving discretisations of optimal control problems: Vol. 54(19) (pp. 334–339). https://doi.org/10.1016/j.ifacol.2021.11.099
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[9]
2021 | Conference Paper | LibreCat-ID: 21572
Ridderbusch, S., Offen, C., Ober-Blöbaum, S., & Goulart, P. (2021). Learning ODE Models with Qualitative Structure Using Gaussian Processes . 2021 60th IEEE Conference on Decision and Control (CDC), 2896. https://doi.org/10.1109/CDC45484.2021.9683426
LibreCat | Files available | DOI | arXiv
 
[8]
2020 | Journal Article | LibreCat-ID: 19938
McLachlan, R. I., & Offen, C. (2020). Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation. Foundations of Computational Mathematics, 20(6), 1363–1400. https://doi.org/10.1007/s10208-020-09454-z
LibreCat | DOI | Download (ext.)
 
[7]
2020 | Journal Article | LibreCat-ID: 19939 | OA
Kreusser, L. M., McLachlan, R. I., & Offen, C. (2020). Detection of high codimensional bifurcations in variational PDEs. Nonlinearity, 33(5), 2335–2363. https://doi.org/10.1088/1361-6544/ab7293
LibreCat | DOI | Download (ext.)
 
[6]
2020 | Dissertation | LibreCat-ID: 19947 | OA
Offen, C. (2020). Analysis of Hamiltonian boundary value problems and symplectic integration. Palmerston North, New Zealand: Massey University.
LibreCat | Files available | Download (ext.)
 
[5]
2019 | Journal Article | LibreCat-ID: 19945 | OA
McLachlan, R. I., Offen, C., & Tapley, B. K. (2019). Symplectic integration of PDEs using Clebsch variables. Journal of Computational Dynamics, 6(1), 111–130. https://doi.org/10.3934/jcd.2019005
LibreCat | DOI | Download (ext.)
 
[4]
2018 | Journal Article | LibreCat-ID: 19935
McLachlan, R. I., & Offen, C. (2018). Bifurcation of solutions to Hamiltonian boundary value problems. Nonlinearity, 2895–2927. https://doi.org/10.1088/1361-6544/aab630
LibreCat | DOI | Download (ext.)
 
[3]
2018 | Journal Article | LibreCat-ID: 19937
McLachlan, R. I., & Offen, C. (2018). Symplectic integration of boundary value problems. Numerical Algorithms, 1219–1233. https://doi.org/10.1007/s11075-018-0599-7
LibreCat | DOI | Download (ext.)
 
[2]
2018 | Preprint | LibreCat-ID: 19940 | OA
Offen, C. (n.d.). Local intersections of Lagrangian manifolds correspond to catastrophe  theory. In arXiv:1811.10165.
LibreCat | Files available | arXiv
 
[1]
2018 | Journal Article | LibreCat-ID: 19943 | OA
McLachlan, R. I., & Offen, C. (2018). Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci. New Zealand Journal of Mathematics, 48, 83–99. https://doi.org/10.53733/34
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
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19 Publications

Mark all

[19]
2024 | Journal Article | LibreCat-ID: 46469 | OA
Offen, C., & Ober-Blöbaum, S. (2024). Learning of discrete models of variational PDEs from data. Chaos, 34(1), Article 013104. https://doi.org/10.1063/5.0172287
LibreCat | Files available | DOI | arXiv
 
[18]
2023 | Conference Paper | LibreCat-ID: 42163 | OA
Offen, C., & Ober-Blöbaum, S. (2023). Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves. In F. Nielsen & F. Barbaresco (Eds.), Geometric Science of Information (Vol. 14071, pp. 569–579). Springer, Cham. https://doi.org/10.1007/978-3-031-38271-0_57
LibreCat | Files available | DOI | arXiv
 
[17]
2023 | Journal Article | LibreCat-ID: 29240 | OA
Ober-Blöbaum, S., & Offen, C. (2023). Variational Learning of Euler–Lagrange Dynamics from Data. Journal of Computational and Applied Mathematics, 421, 114780. https://doi.org/10.1016/j.cam.2022.114780
LibreCat | Files available | DOI | arXiv
 
[16]
2023 | Journal Article | LibreCat-ID: 29236 | OA
McLachlan, R., & Offen, C. (2023). Backward error analysis for conjugate symplectic methods. Journal of Geometric Mechanics, 15(1), 98–115. https://doi.org/10.3934/jgm.2023005
LibreCat | Files available | DOI | arXiv
 
[15]
2023 | Journal Article | LibreCat-ID: 37654 | OA
Dierkes, E., Offen, C., Ober-Blöbaum, S., & Flaßkamp, K. (2023). Hamiltonian Neural Networks with Automatic Symmetry Detection. Chaos, 33(6), Article 063115. https://doi.org/10.1063/5.0142969
LibreCat | Files available | DOI | arXiv
 
[14]
2023 | Journal Article | LibreCat-ID: 21600
Dellnitz, M., Hüllermeier, E., Lücke, M., Ober-Blöbaum, S., Offen, C., Peitz, S., & Pfannschmidt, K. (2023). Efficient time stepping for numerical integration using reinforcement  learning. SIAM Journal on Scientific Computing, 45(2), A579–A595. https://doi.org/10.1137/21M1412682
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[13]
2023 | Conference Paper | LibreCat-ID: 34135 | OA
Lishkova, Y., Scherer, P., Ridderbusch, S., Jamnik, M., Liò, P., Ober-Blöbaum, S., & Offen, C. (2023). Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery. IFAC-PapersOnLine, 56(2), 3203–3210. https://doi.org/10.1016/j.ifacol.2023.10.1457
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[12]
2022 | Journal Article | LibreCat-ID: 19941 | OA
McLachlan, R. I., & Offen, C. (2022). Backward error analysis for variational discretisations of partial  differential equations. Journal of Geometric Mechanics, 14(3), 447–471. https://doi.org/10.3934/jgm.2022014
LibreCat | Files available | DOI | arXiv
 
[11]
2022 | Journal Article | LibreCat-ID: 23382 | OA
Offen, C., & Ober-Blöbaum, S. (2022). Symplectic integration of learned Hamiltonian systems. Chaos: An Interdisciplinary Journal of Nonlinear Science, 32(1). https://doi.org/10.1063/5.0065913
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[10]
2021 | Conference Paper | LibreCat-ID: 22894 | OA
Offen, C., & Ober-Blöbaum, S. (2021). Bifurcation preserving discretisations of optimal control problems: Vol. 54(19) (pp. 334–339). https://doi.org/10.1016/j.ifacol.2021.11.099
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[9]
2021 | Conference Paper | LibreCat-ID: 21572
Ridderbusch, S., Offen, C., Ober-Blöbaum, S., & Goulart, P. (2021). Learning ODE Models with Qualitative Structure Using Gaussian Processes . 2021 60th IEEE Conference on Decision and Control (CDC), 2896. https://doi.org/10.1109/CDC45484.2021.9683426
LibreCat | Files available | DOI | arXiv
 
[8]
2020 | Journal Article | LibreCat-ID: 19938
McLachlan, R. I., & Offen, C. (2020). Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation. Foundations of Computational Mathematics, 20(6), 1363–1400. https://doi.org/10.1007/s10208-020-09454-z
LibreCat | DOI | Download (ext.)
 
[7]
2020 | Journal Article | LibreCat-ID: 19939 | OA
Kreusser, L. M., McLachlan, R. I., & Offen, C. (2020). Detection of high codimensional bifurcations in variational PDEs. Nonlinearity, 33(5), 2335–2363. https://doi.org/10.1088/1361-6544/ab7293
LibreCat | DOI | Download (ext.)
 
[6]
2020 | Dissertation | LibreCat-ID: 19947 | OA
Offen, C. (2020). Analysis of Hamiltonian boundary value problems and symplectic integration. Palmerston North, New Zealand: Massey University.
LibreCat | Files available | Download (ext.)
 
[5]
2019 | Journal Article | LibreCat-ID: 19945 | OA
McLachlan, R. I., Offen, C., & Tapley, B. K. (2019). Symplectic integration of PDEs using Clebsch variables. Journal of Computational Dynamics, 6(1), 111–130. https://doi.org/10.3934/jcd.2019005
LibreCat | DOI | Download (ext.)
 
[4]
2018 | Journal Article | LibreCat-ID: 19935
McLachlan, R. I., & Offen, C. (2018). Bifurcation of solutions to Hamiltonian boundary value problems. Nonlinearity, 2895–2927. https://doi.org/10.1088/1361-6544/aab630
LibreCat | DOI | Download (ext.)
 
[3]
2018 | Journal Article | LibreCat-ID: 19937
McLachlan, R. I., & Offen, C. (2018). Symplectic integration of boundary value problems. Numerical Algorithms, 1219–1233. https://doi.org/10.1007/s11075-018-0599-7
LibreCat | DOI | Download (ext.)
 
[2]
2018 | Preprint | LibreCat-ID: 19940 | OA
Offen, C. (n.d.). Local intersections of Lagrangian manifolds correspond to catastrophe  theory. In arXiv:1811.10165.
LibreCat | Files available | arXiv
 
[1]
2018 | Journal Article | LibreCat-ID: 19943 | OA
McLachlan, R. I., & Offen, C. (2018). Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci. New Zealand Journal of Mathematics, 48, 83–99. https://doi.org/10.53733/34
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
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