C. Offen and S. Ober-Blöbaum, “Learning of discrete models of variational PDEs from data,”10.1063/5.0172287__Chaos, vol. 34, no. 1, Art. no. 013104, 2024, doi:10.1063/5.0172287 .

S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, R. T. S. M. de Almagro, and F. O. Szemenyei, “A new Lagrangian approach to control affine systems with a quadratic Lagrange term,”10.3934/jcd.2024017__Journal of Computational Dynamics, vol. 0, no. 0, pp. 0–0, 2024, doi:10.3934/jcd.2024017 .

C. Offen, “Machine learning of continuous and discrete variational ODEs with convergence guarantee and uncertainty quantification.” .

C. Offen and S. Ober-Blöbaum, “Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves,”10.1007/978-3-031-38271-0_57__in Geometric Science of Information, Saint-Malo, Palais du Grand Large, France, 2023, vol. 14071, pp. 569–579, doi:10.1007/978-3-031-38271-0_57 .

S. Ober-Blöbaum and C. Offen, “Variational Learning of Euler–Lagrange Dynamics from Data,”10.1016/j.cam.2022.114780__Journal of Computational and Applied Mathematics, vol. 421, p. 114780, 2023, doi:10.1016/j.cam.2022.114780 .

R. McLachlan and C. Offen, “Backward error analysis for conjugate symplectic methods,”10.3934/jgm.2023005__Journal of Geometric Mechanics, vol. 15, no. 1, pp. 98–115, 2023, doi:10.3934/jgm.2023005 .

E. Dierkes, C. Offen, S. Ober-Blöbaum, and K. Flaßkamp, “Hamiltonian Neural Networks with Automatic Symmetry Detection,”10.1063/5.0142969__Chaos, vol. 33, no. 6, Art. no. 063115, 2023, doi:10.1063/5.0142969 .

M. Dellnitz et al., “Efficient time stepping for numerical integration using reinforcement  learning,”10.1137/21M1412682__SIAM Journal on Scientific Computing, vol. 45, no. 2, pp. 9–5, 2023, doi:10.1137/21M1412682 .

Y. Lishkova et al., “Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery,”10.1016/j.ifacol.2023.10.1457__in IFAC-PapersOnLine,10.1016/j.ifacol.2023.10.1457__Yokohama, Japan, 2023, vol. 56, no. 2, pp. 3203–3210, doi:10.1016/j.ifacol.2023.10.1457 .

J. Cresson, F. Jiménez, and S. Ober-Blöbaum, “Continuous and discrete Noether’s fractional conserved quantities for restricted calculus of variations,” AIMS, vol. 14(1), pp. 57–89, 2022.

J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, and J.-B. Pomet, “Turnpike Property in Optimal Microbial Metabolite Production,”10.1007/s10957-022-02023-0__Journal of Optimization Theory and Applications, 2022, doi:10.1007/s10957-022-02023-0 .

T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, M. Schaller, and K. Worthmann, “Manifold turnpikes, trims, and symmetries,” Mathematics of Control, Signals, and Systems, vol. 34, pp. 759–788, 2022.

R. I. McLachlan and C. Offen, “Backward error analysis for variational discretisations of partial  differential equations,”10.3934/jgm.2022014__Journal of Geometric Mechanics, vol. 14, no. 3, pp. 447–471, 2022, doi:10.3934/jgm.2022014 .

C. Offen and S. Ober-Blöbaum, “Symplectic integration of learned Hamiltonian systems,”10.1063/5.0065913__Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 32(1), 2022, doi:10.1063/5.0065913 .

N. Vertovec, S. Ober-Blöbaum, and K. Margellos, “Verification of safety critical control policies using kernel methods,” London, 2022, pp. 1870–1875.

S. Ober-Blöbaum and M. Vermeeren, “Superconvergence of galerkin variational integrators,” in 7th IIFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC, 2021, vol. 54(19), pp. 327–333.

W. Djema, L. Giraldi, S. Maslovskaya, and O. Bernard, “Turnpike features in optimal selection of species represented by quota models,”10.1016/j.automatica.2021.109804__Automatica, vol. 132, Art. no. 109804, 2021, doi:10.1016/j.automatica.2021.109804 .

C. Offen and S. Ober-Blöbaum, “Bifurcation preserving discretisations of optimal control problems,”https://doi.org/10.1016/j.ifacol.2021.11.099__vol. 54(19). pp. 334–339, 2021, doi:https://doi.org/10.1016/j.ifacol.2021.11.099 .

S. Ridderbusch, C. Offen, S. Ober-Blöbaum, and P. Goulart, “Learning ODE Models with Qualitative Structure Using Gaussian Processes ,”10.1109/CDC45484.2021.9683426__in 2021 60th IEEE Conference on Decision and Control (CDC), Austin, TX, USA, 2021, p. 2896, doi:10.1109/CDC45484.2021.9683426 .

N. Vertovec, S. Ober-Blöbaum, and K. Margellos, “Multi-objective minimum time optimal control for low-thrust trajectory design,” Rotterdam, the Netherlands, pp. 1975–1980.

F. Jiménez and S. Ober-Blöbaum, “Fractional Damping Through Restricted Calculus of Variations,” in Nichtlineare Sci 31, 2021, vol. 46.

R. I. McLachlan and C. Offen, “Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation,” Foundations of Computational Mathematics, vol. 20, no. 6, pp. 1363–1400, 2020.

L. M. Kreusser, R. I. McLachlan, and C. Offen, “Detection of high codimensional bifurcations in variational PDEs,” Nonlinearity, vol. 33, no. 5, pp. 2335–2363, 2020.

D. J. N. Limebeer, S. Ober-Blöbaum, and F. H. Farshi, “Variational integrators for dissipative systems,” IEEE Transactions on Automatic Control, vol. 65(4), pp. 1381–1396, 2020.

C. I. O. Hernández Castellanos, G. Schütze, J.-Q. Sun, S. Ober-Blöbaum, and G. Morales-Luna, “Numerical computation of lightly multi-objective robust optimal solutions by means of generalized cell mapping,” Mathematics, vol. 8(11):1959, 2020.

Y. Lishkova, S. Ober-Blöbaum, M. Cannon, and S. Leyendecker, “A multirate variational approach to simulation and optimal control for flexible spacecraft,” 2020.

T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, and K. Worthmann, “A dissipativity characterization of velocity turnpikes in optimal control problems for mechanical systems,” 2020.

J. Cresson, F. Jiménez, and S. Ober-Blöbaum, “Modelling of the convection-diffusion equation through fractional restricted calculus of variations,” 2020.

F. Jean, S. Maslovskaya, and I. Zelenko, “On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry,”10.1007/s10711-020-00581-z__Geometriae Dedicata, vol. 213, no. 1, pp. 295–314, 2020, doi:10.1007/s10711-020-00581-z .

S. Maslovskaya, J.-B. Caillau, W. Djema, L. Giraldi, J.-L. Jean-Luc, and J.-B. Pomet, “The turnpike property in maximization of microbial metabolite production,” presented at the IFAC 2020 - 21rst IFAC World Congress, 2020.

K. Flaßkamp, S. Ober-Blöbaum, and S. Peitz, “Symmetry in optimal control: A multiobjective model predictive control approach,” in Advances in Dynamics, Optimization and Computation, O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, and K. Padberg-Gehle, Eds. Cham: Springer International Publishing, 2020, pp. 209–237.

R. I. McLachlan, C. Offen, and B. K. Tapley, “Symplectic integration of PDEs using Clebsch variables,” Journal of Computational Dynamics, vol. 6, no. 1, pp. 111–130, 2019.

T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, and K. Worthmann, “Towards velocity turnpikes in optimal control of mechanical systems,” 2019, vol. 52(16), pp. 490–495.

R. I. McLachlan and C. Offen, “Bifurcation of solutions to Hamiltonian boundary value problems,” Nonlinearity, pp. 2895–2927, 2018.

R. I. McLachlan and C. Offen, “Symplectic integration of boundary value problems,” Numerical Algorithms, pp. 1219–1233, 2018.

F. Jiménez and S. Ober-Blöbaum, “Necessary optimality conditions for optimally controlled dissipative mechanical systems modelled through fractional derivatives,” 2018.

F. Jiménez and S. Ober-Blöbaum, “A fractional variational approach for modelling dissipative mechanical systems continuous and discrete settings,” in 6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018, 2018, vol. 51(3), pp. 50–55.

C. Offen, “Local intersections of Lagrangian manifolds correspond to catastrophe  theory,” arXiv:1811.10165. .

R. I. McLachlan and C. Offen, “Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci,”10.53733/34 __New Zealand Journal of Mathematics, vol. 48, pp. 83–99, 2018, doi:10.53733/34  .

T. Gail, S. Ober-Blöbaum, and S. Leyendecker, “Variational multirate integration in discrete mechanics and optimal control,” 2017.

T. Wenger, S. Ober-Blöbaum, and S. Leyendecker, “Variational integrators of mixed order for dynamical systems with multiple time scales and split potentials,” in ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering, 2016, pp. 1818–1831.

T. Wenger, S. Ober-Blöbaum, and S. Leyendecker, “Constrained Galerkin variational integrators and modified constrained symplectic Runge-Kutta methods,” 2016.

S. Peitz, S. Ober-Blöbaum, and M. Dellnitz, “Reduced order model based multiobjective optimal control of fluids,” 2016.

B. Stellato, S. Ober-Blöbaum, and P. J. Goulart, “Optimal control of switching times in switched linear systems,” in 2016 IEEE 55th Conference on Decision and Control (CDC), 2016, pp. 7228–7233.

K. Flaßkamp, S. Hage-Packhäuser, and S. Ober-Blöbaum, “Symmetry exploiting control of hybrid mechanical systems,” Journal of Computational Dynamics, vol. 2(1), pp. 25–50, 2015.

C. M. Campos, S. Ober-Blöbaum, and E. Trélat, “High order variational integrators in the optimal control of mechanical systems,” Discrete and Continuous Dynamical Systems, vol. 35(9), pp. 4193–4223, 2015.

S. Ober-Blöbaum and H. Lindhorst, “Variational formulation and structure-preserving discretization of nonlinear electric circuits,” Netherlands, 2014.

T. Gail, S. Leyendecker, and S. Ober-Blöbaum, “On the role of quadrature rules and system dimensions in variational multirate integrators,” 2014.

A. Trächtler et al., “Case Study,” in Dependability of Self-Optimizing Mechatronic Systems, J. Gausemeier, F. Josef Rammig, W. Schäfer, and W. Sextro, Eds. Springer Berlin Heidelberg, 2014, pp. 173–188.

S. Ober-Blöbaum and N. Saake, “Construction and analysis of higher order Galerkin variational integrators,” Advances in Computational Mathematics, pp. 1–32, 2014.