21 Publications

Mark all

[21]
2024 | Journal Article | LibreCat-ID: 46469 | OA
Offen C, Ober-Blöbaum S. Learning of discrete models of variational PDEs from data. Chaos. 2024;34(1). doi:10.1063/5.0172287
LibreCat | Files available | DOI | arXiv
 
[20]
2024 | Preprint | LibreCat-ID: 53805 | OA
Offen C. Machine learning of continuous and discrete variational ODEs with convergence guarantee and uncertainty quantification.
LibreCat | Files available | arXiv
 
[19]
2024 | Preprint | LibreCat-ID: 55159 | OA
Offen C. Machine learning of discrete field theories with guaranteed convergence and uncertainty quantification.
LibreCat | Files available | arXiv
 
[18]
2023 | Conference Paper | LibreCat-ID: 42163 | OA
Offen C, Ober-Blöbaum S. Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves. In: Nielsen F, Barbaresco F, eds. Geometric Science of Information. Vol 14071. Lecture Notes in Computer Science (LNCS). Springer, Cham.; 2023:569-579. doi: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. Variational Learning of Euler–Lagrange Dynamics from Data. Journal of Computational and Applied Mathematics. 2023;421:114780. doi:10.1016/j.cam.2022.114780
LibreCat | Files available | DOI | arXiv
 
[16]
2023 | Journal Article | LibreCat-ID: 29236 | OA
McLachlan R, Offen C. Backward error analysis for conjugate symplectic methods. Journal of Geometric Mechanics. 2023;15(1):98-115. doi: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. Hamiltonian Neural Networks with Automatic Symmetry Detection. Chaos. 2023;33(6). doi:10.1063/5.0142969
LibreCat | Files available | DOI | arXiv
 
[14]
2023 | Journal Article | LibreCat-ID: 21600
Dellnitz M, Hüllermeier E, Lücke M, et al. Efficient time stepping for numerical integration using reinforcement  learning. SIAM Journal on Scientific Computing. 2023;45(2):A579-A595. doi:10.1137/21M1412682
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[13]
2023 | Conference Paper | LibreCat-ID: 34135 | OA
Lishkova Y, Scherer P, Ridderbusch S, et al. Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery. In: IFAC-PapersOnLine. Vol 56. Elsevier; 2023:3203-3210. doi:10.1016/j.ifacol.2023.10.1457
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[12]
2022 | Journal Article | LibreCat-ID: 19941 | OA
McLachlan RI, Offen C. Backward error analysis for variational discretisations of partial  differential equations. Journal of Geometric Mechanics. 2022;14(3):447-471. doi:10.3934/jgm.2022014
LibreCat | Files available | DOI | arXiv
 
[11]
2022 | Journal Article | LibreCat-ID: 23382 | OA
Offen C, Ober-Blöbaum S. Symplectic integration of learned Hamiltonian systems. Chaos: An Interdisciplinary Journal of Nonlinear Science. 2022;32(1). doi:10.1063/5.0065913
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[10]
2021 | Conference Paper | LibreCat-ID: 22894 | OA
Offen C, Ober-Blöbaum S. Bifurcation preserving discretisations of optimal control problems. 2021;54(19):334-339. doi: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. Learning ODE Models with Qualitative Structure Using Gaussian Processes . In: 2021 60th IEEE Conference on Decision and Control (CDC). IEEE; 2021:2896. doi:10.1109/CDC45484.2021.9683426
LibreCat | Files available | DOI | arXiv
 
[8]
2020 | Journal Article | LibreCat-ID: 19938
McLachlan RI, Offen C. Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation. Foundations of Computational Mathematics. 2020;20(6):1363-1400. doi:10.1007/s10208-020-09454-z
LibreCat | DOI | Download (ext.)
 
[7]
2020 | Journal Article | LibreCat-ID: 19939 | OA
Kreusser LM, McLachlan RI, Offen C. Detection of high codimensional bifurcations in variational PDEs. Nonlinearity. 2020;33(5):2335-2363. doi:10.1088/1361-6544/ab7293
LibreCat | DOI | Download (ext.)
 
[6]
2020 | Dissertation | LibreCat-ID: 19947 | OA
Offen C. Analysis of Hamiltonian Boundary Value Problems and Symplectic Integration. Palmerston North, New Zealand: Massey University; 2020.
LibreCat | Files available | Download (ext.)
 
[5]
2019 | Journal Article | LibreCat-ID: 19945 | OA
McLachlan RI, Offen C, Tapley BK. Symplectic integration of PDEs using Clebsch variables. Journal of Computational Dynamics. 2019;6(1):111-130. doi:10.3934/jcd.2019005
LibreCat | DOI | Download (ext.)
 
[4]
2018 | Journal Article | LibreCat-ID: 19935
McLachlan RI, Offen C. Bifurcation of solutions to Hamiltonian boundary value problems. Nonlinearity. 2018:2895-2927. doi:10.1088/1361-6544/aab630
LibreCat | DOI | Download (ext.)
 
[3]
2018 | Journal Article | LibreCat-ID: 19937
McLachlan RI, Offen C. Symplectic integration of boundary value problems. Numerical Algorithms. 2018:1219-1233. doi:10.1007/s11075-018-0599-7
LibreCat | DOI | Download (ext.)
 
[2]
2018 | Preprint | LibreCat-ID: 19940 | OA
Offen C. Local intersections of Lagrangian manifolds correspond to catastrophe  theory. arXiv:181110165.
LibreCat | Files available | arXiv
 
[1]
2018 | Journal Article | LibreCat-ID: 19943 | OA
McLachlan RI, Offen C. Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci. New Zealand Journal of Mathematics. 2018;48:83-99. doi:10.53733/34
LibreCat | Files available | DOI | Download (ext.) | arXiv
 

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21 Publications

Mark all

[21]
2024 | Journal Article | LibreCat-ID: 46469 | OA
Offen C, Ober-Blöbaum S. Learning of discrete models of variational PDEs from data. Chaos. 2024;34(1). doi:10.1063/5.0172287
LibreCat | Files available | DOI | arXiv
 
[20]
2024 | Preprint | LibreCat-ID: 53805 | OA
Offen C. Machine learning of continuous and discrete variational ODEs with convergence guarantee and uncertainty quantification.
LibreCat | Files available | arXiv
 
[19]
2024 | Preprint | LibreCat-ID: 55159 | OA
Offen C. Machine learning of discrete field theories with guaranteed convergence and uncertainty quantification.
LibreCat | Files available | arXiv
 
[18]
2023 | Conference Paper | LibreCat-ID: 42163 | OA
Offen C, Ober-Blöbaum S. Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves. In: Nielsen F, Barbaresco F, eds. Geometric Science of Information. Vol 14071. Lecture Notes in Computer Science (LNCS). Springer, Cham.; 2023:569-579. doi: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. Variational Learning of Euler–Lagrange Dynamics from Data. Journal of Computational and Applied Mathematics. 2023;421:114780. doi:10.1016/j.cam.2022.114780
LibreCat | Files available | DOI | arXiv
 
[16]
2023 | Journal Article | LibreCat-ID: 29236 | OA
McLachlan R, Offen C. Backward error analysis for conjugate symplectic methods. Journal of Geometric Mechanics. 2023;15(1):98-115. doi: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. Hamiltonian Neural Networks with Automatic Symmetry Detection. Chaos. 2023;33(6). doi:10.1063/5.0142969
LibreCat | Files available | DOI | arXiv
 
[14]
2023 | Journal Article | LibreCat-ID: 21600
Dellnitz M, Hüllermeier E, Lücke M, et al. Efficient time stepping for numerical integration using reinforcement  learning. SIAM Journal on Scientific Computing. 2023;45(2):A579-A595. doi:10.1137/21M1412682
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[13]
2023 | Conference Paper | LibreCat-ID: 34135 | OA
Lishkova Y, Scherer P, Ridderbusch S, et al. Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery. In: IFAC-PapersOnLine. Vol 56. Elsevier; 2023:3203-3210. doi:10.1016/j.ifacol.2023.10.1457
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[12]
2022 | Journal Article | LibreCat-ID: 19941 | OA
McLachlan RI, Offen C. Backward error analysis for variational discretisations of partial  differential equations. Journal of Geometric Mechanics. 2022;14(3):447-471. doi:10.3934/jgm.2022014
LibreCat | Files available | DOI | arXiv
 
[11]
2022 | Journal Article | LibreCat-ID: 23382 | OA
Offen C, Ober-Blöbaum S. Symplectic integration of learned Hamiltonian systems. Chaos: An Interdisciplinary Journal of Nonlinear Science. 2022;32(1). doi:10.1063/5.0065913
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[10]
2021 | Conference Paper | LibreCat-ID: 22894 | OA
Offen C, Ober-Blöbaum S. Bifurcation preserving discretisations of optimal control problems. 2021;54(19):334-339. doi: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. Learning ODE Models with Qualitative Structure Using Gaussian Processes . In: 2021 60th IEEE Conference on Decision and Control (CDC). IEEE; 2021:2896. doi:10.1109/CDC45484.2021.9683426
LibreCat | Files available | DOI | arXiv
 
[8]
2020 | Journal Article | LibreCat-ID: 19938
McLachlan RI, Offen C. Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation. Foundations of Computational Mathematics. 2020;20(6):1363-1400. doi:10.1007/s10208-020-09454-z
LibreCat | DOI | Download (ext.)
 
[7]
2020 | Journal Article | LibreCat-ID: 19939 | OA
Kreusser LM, McLachlan RI, Offen C. Detection of high codimensional bifurcations in variational PDEs. Nonlinearity. 2020;33(5):2335-2363. doi:10.1088/1361-6544/ab7293
LibreCat | DOI | Download (ext.)
 
[6]
2020 | Dissertation | LibreCat-ID: 19947 | OA
Offen C. Analysis of Hamiltonian Boundary Value Problems and Symplectic Integration. Palmerston North, New Zealand: Massey University; 2020.
LibreCat | Files available | Download (ext.)
 
[5]
2019 | Journal Article | LibreCat-ID: 19945 | OA
McLachlan RI, Offen C, Tapley BK. Symplectic integration of PDEs using Clebsch variables. Journal of Computational Dynamics. 2019;6(1):111-130. doi:10.3934/jcd.2019005
LibreCat | DOI | Download (ext.)
 
[4]
2018 | Journal Article | LibreCat-ID: 19935
McLachlan RI, Offen C. Bifurcation of solutions to Hamiltonian boundary value problems. Nonlinearity. 2018:2895-2927. doi:10.1088/1361-6544/aab630
LibreCat | DOI | Download (ext.)
 
[3]
2018 | Journal Article | LibreCat-ID: 19937
McLachlan RI, Offen C. Symplectic integration of boundary value problems. Numerical Algorithms. 2018:1219-1233. doi:10.1007/s11075-018-0599-7
LibreCat | DOI | Download (ext.)
 
[2]
2018 | Preprint | LibreCat-ID: 19940 | OA
Offen C. Local intersections of Lagrangian manifolds correspond to catastrophe  theory. arXiv:181110165.
LibreCat | Files available | arXiv
 
[1]
2018 | Journal Article | LibreCat-ID: 19943 | OA
McLachlan RI, Offen C. Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci. New Zealand Journal of Mathematics. 2018;48:83-99. doi:10.53733/34
LibreCat | Files available | DOI | Download (ext.) | arXiv
 

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