15 Publications

Mark all

[15]
2022 | Journal Article | LibreCat-ID: 23382 | OA
Offen, Christian, and Sina Ober-Blöbaum. “Symplectic Integration of Learned Hamiltonian Systems.” Chaos: An Interdisciplinary Journal of Nonlinear Science 32(1) (2022). https://doi.org/10.1063/5.0065913.
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[14]
2022 | Journal Article | LibreCat-ID: 19941 | OA
McLachlan, Robert I, and Christian Offen. “Backward Error Analysis for Variational Discretisations of Partial  Differential Equations.” Journal of Geometric Mechanics 14, no. 3 (2022): 447–71. https://doi.org/10.3934/jgm.2022014.
LibreCat | Files available | DOI | Download (ext.)
 
[13]
2022 | Journal Article | LibreCat-ID: 29240 | OA
Ober-Blöbaum, Sina, and Christian Offen. “Variational Learning of Euler–Lagrange Dynamics from Data.” Journal of Computational and Applied Mathematics, n.d. https://doi.org/10.1016/j.cam.2022.114780.
LibreCat | Files available | DOI | Download (ext.)
 
[12]
2022 | Journal Article | LibreCat-ID: 29236 | OA
McLachlan, Robert, and Christian Offen. “Backward Error Analysis for Conjugate Symplectic Methods.” Journal of Geometric Mechanics, n.d.
LibreCat | Files available | Download (ext.)
 
[11]
2021 | Conference Paper | LibreCat-ID: 22894 | OA
Offen, Christian, and Sina Ober-Blöbaum. “Bifurcation Preserving Discretisations of Optimal Control Problems.” IFAC-PapersOnLine, 2021. https://doi.org/10.1016/j.ifacol.2021.11.099.
LibreCat | Files available | DOI | Download (ext.)
 
[10]
2021 | Conference Paper | LibreCat-ID: 21572 | OA
Ridderbusch, Steffen, Christian Offen, Sina Ober-Blöbaum, and Paul Goulart. “Learning ODE Models with Qualitative Structure Using Gaussian Processes .” In 2021 60th IEEE Conference on Decision and Control (CDC), 2896. IEEE, 2021. https://doi.org/10.1109/CDC45484.2021.9683426.
LibreCat | DOI | Download (ext.)
 
[9]
2021 | Preprint | LibreCat-ID: 21600 | OA
Dellnitz, Michael, Eyke Hüllermeier, Marvin Lücke, Sina Ober-Blöbaum, Christian Offen, Sebastian Peitz, and Karlson Pfannschmidt. “Efficient Time Stepping for Numerical Integration Using Reinforcement  Learning.” ArXiv:2104.03562, 2021.
LibreCat | Files available | Download (ext.)
 
[8]
2020 | Journal Article | LibreCat-ID: 19938
McLachlan, Robert I, and Christian Offen. “Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation.” Foundations of Computational Mathematics 20, no. 6 (2020): 1363–1400. https://doi.org/10.1007/s10208-020-09454-z.
LibreCat | DOI | Download (ext.)
 
[7]
2020 | Journal Article | LibreCat-ID: 19939 | OA
Kreusser, Lisa Maria, Robert I McLachlan, and Christian Offen. “Detection of High Codimensional Bifurcations in Variational PDEs.” Nonlinearity 33, no. 5 (2020): 2335–63. https://doi.org/10.1088/1361-6544/ab7293.
LibreCat | DOI | Download (ext.)
 
[6]
2020 | Dissertation | LibreCat-ID: 19947 | OA
Offen, Christian. 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, Robert I, Christian Offen, and Benjamin K Tapley. “Symplectic Integration of PDEs Using Clebsch Variables.” Journal of Computational Dynamics 6, no. 1 (2019): 111–30. https://doi.org/10.3934/jcd.2019005.
LibreCat | DOI | Download (ext.)
 
[4]
2018 | Journal Article | LibreCat-ID: 19935
McLachlan, Robert I, and Christian Offen. “Bifurcation of Solutions to Hamiltonian Boundary Value Problems.” Nonlinearity, 2018, 2895–2927. https://doi.org/10.1088/1361-6544/aab630.
LibreCat | DOI | Download (ext.)
 
[3]
2018 | Journal Article | LibreCat-ID: 19937
McLachlan, Robert I, and Christian Offen. “Symplectic Integration of Boundary Value Problems.” Numerical Algorithms, 2018, 1219–33. https://doi.org/10.1007/s11075-018-0599-7.
LibreCat | DOI | Download (ext.)
 
[2]
2018 | Preprint | LibreCat-ID: 19940 | OA
Offen, Christian. “Local Intersections of Lagrangian Manifolds Correspond to Catastrophe  Theory.” ArXiv:1811.10165, n.d.
LibreCat | Files available | Download (ext.)
 
[1]
2018 | Journal Article | LibreCat-ID: 19943 | OA
McLachlan, Robert I, and Christian Offen. “Hamiltonian Boundary Value Problems, Conformal Symplectic Symmetries, and Conjugate Loci.” New Zealand Journal of Mathematics 48 (2018): 83–99.
LibreCat | Files available | Download (ext.)
 

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15 Publications

Mark all

[15]
2022 | Journal Article | LibreCat-ID: 23382 | OA
Offen, Christian, and Sina Ober-Blöbaum. “Symplectic Integration of Learned Hamiltonian Systems.” Chaos: An Interdisciplinary Journal of Nonlinear Science 32(1) (2022). https://doi.org/10.1063/5.0065913.
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[14]
2022 | Journal Article | LibreCat-ID: 19941 | OA
McLachlan, Robert I, and Christian Offen. “Backward Error Analysis for Variational Discretisations of Partial  Differential Equations.” Journal of Geometric Mechanics 14, no. 3 (2022): 447–71. https://doi.org/10.3934/jgm.2022014.
LibreCat | Files available | DOI | Download (ext.)
 
[13]
2022 | Journal Article | LibreCat-ID: 29240 | OA
Ober-Blöbaum, Sina, and Christian Offen. “Variational Learning of Euler–Lagrange Dynamics from Data.” Journal of Computational and Applied Mathematics, n.d. https://doi.org/10.1016/j.cam.2022.114780.
LibreCat | Files available | DOI | Download (ext.)
 
[12]
2022 | Journal Article | LibreCat-ID: 29236 | OA
McLachlan, Robert, and Christian Offen. “Backward Error Analysis for Conjugate Symplectic Methods.” Journal of Geometric Mechanics, n.d.
LibreCat | Files available | Download (ext.)
 
[11]
2021 | Conference Paper | LibreCat-ID: 22894 | OA
Offen, Christian, and Sina Ober-Blöbaum. “Bifurcation Preserving Discretisations of Optimal Control Problems.” IFAC-PapersOnLine, 2021. https://doi.org/10.1016/j.ifacol.2021.11.099.
LibreCat | Files available | DOI | Download (ext.)
 
[10]
2021 | Conference Paper | LibreCat-ID: 21572 | OA
Ridderbusch, Steffen, Christian Offen, Sina Ober-Blöbaum, and Paul Goulart. “Learning ODE Models with Qualitative Structure Using Gaussian Processes .” In 2021 60th IEEE Conference on Decision and Control (CDC), 2896. IEEE, 2021. https://doi.org/10.1109/CDC45484.2021.9683426.
LibreCat | DOI | Download (ext.)
 
[9]
2021 | Preprint | LibreCat-ID: 21600 | OA
Dellnitz, Michael, Eyke Hüllermeier, Marvin Lücke, Sina Ober-Blöbaum, Christian Offen, Sebastian Peitz, and Karlson Pfannschmidt. “Efficient Time Stepping for Numerical Integration Using Reinforcement  Learning.” ArXiv:2104.03562, 2021.
LibreCat | Files available | Download (ext.)
 
[8]
2020 | Journal Article | LibreCat-ID: 19938
McLachlan, Robert I, and Christian Offen. “Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation.” Foundations of Computational Mathematics 20, no. 6 (2020): 1363–1400. https://doi.org/10.1007/s10208-020-09454-z.
LibreCat | DOI | Download (ext.)
 
[7]
2020 | Journal Article | LibreCat-ID: 19939 | OA
Kreusser, Lisa Maria, Robert I McLachlan, and Christian Offen. “Detection of High Codimensional Bifurcations in Variational PDEs.” Nonlinearity 33, no. 5 (2020): 2335–63. https://doi.org/10.1088/1361-6544/ab7293.
LibreCat | DOI | Download (ext.)
 
[6]
2020 | Dissertation | LibreCat-ID: 19947 | OA
Offen, Christian. 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, Robert I, Christian Offen, and Benjamin K Tapley. “Symplectic Integration of PDEs Using Clebsch Variables.” Journal of Computational Dynamics 6, no. 1 (2019): 111–30. https://doi.org/10.3934/jcd.2019005.
LibreCat | DOI | Download (ext.)
 
[4]
2018 | Journal Article | LibreCat-ID: 19935
McLachlan, Robert I, and Christian Offen. “Bifurcation of Solutions to Hamiltonian Boundary Value Problems.” Nonlinearity, 2018, 2895–2927. https://doi.org/10.1088/1361-6544/aab630.
LibreCat | DOI | Download (ext.)
 
[3]
2018 | Journal Article | LibreCat-ID: 19937
McLachlan, Robert I, and Christian Offen. “Symplectic Integration of Boundary Value Problems.” Numerical Algorithms, 2018, 1219–33. https://doi.org/10.1007/s11075-018-0599-7.
LibreCat | DOI | Download (ext.)
 
[2]
2018 | Preprint | LibreCat-ID: 19940 | OA
Offen, Christian. “Local Intersections of Lagrangian Manifolds Correspond to Catastrophe  Theory.” ArXiv:1811.10165, n.d.
LibreCat | Files available | Download (ext.)
 
[1]
2018 | Journal Article | LibreCat-ID: 19943 | OA
McLachlan, Robert I, and Christian Offen. “Hamiltonian Boundary Value Problems, Conformal Symplectic Symmetries, and Conjugate Loci.” New Zealand Journal of Mathematics 48 (2018): 83–99.
LibreCat | Files available | Download (ext.)
 

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