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458 Publications
2022 | Journal Article | LibreCat-ID: 23382 | 
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
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| arXiv
2022 | Conference Paper | LibreCat-ID: 30733
Vertovec, N., Ober-Blöbaum, S., & Margellos, K. (2022). Verification of safety critical control policies using kernel methods. 1870–1875.
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2022 | Journal Article | LibreCat-ID: 45970
Garcke, H., Kovács, B., & Trautwein, D. (2022). Viscoelastic Cahn–Hilliard models for tumor growth. Mathematical Models and Methods in Applied Sciences, 32(13), 2673–2758. https://doi.org/10.1142/s0218202522500634
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2022 | Journal Article | LibreCat-ID: 45969
Elliott, C. M., Garcke, H., & Kovács, B. (2022). Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces. Numerische Mathematik, 151(4), 873–925. https://doi.org/10.1007/s00211-022-01301-3
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2022 | Journal Article | LibreCat-ID: 45963
Nick, J., Kovács, B., & Lubich, C. (2022). Time-dependent electromagnetic scattering from thin layers. Numerische Mathematik, 150(4), 1123–1164. https://doi.org/10.1007/s00211-022-01277-0
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2022 | Journal Article | LibreCat-ID: 45964
Kovács, B., & Li, B. (2022). Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems. IMA Journal of Numerical Analysis. https://doi.org/10.1093/imanum/drac033
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2022 | Journal Article | LibreCat-ID: 45966
Altmann, R., Kovács, B., & Zimmer, C. (2022). Bulk–surface Lie splitting for parabolic problems with dynamic boundary conditions. IMA Journal of Numerical Analysis, 43(2), 950–975. https://doi.org/10.1093/imanum/drac002
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| DOI
2022 | Journal Article | LibreCat-ID: 45968
Csomós, P., Farkas, B., & Kovács, B. (2022). Error estimates for a splitting integrator for abstract semilinear boundary coupled systems. IMA Journal of Numerical Analysis. https://doi.org/10.1093/imanum/drac079
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2022 | Journal Article | LibreCat-ID: 45958
Beschle, C. A., & Kovács, B. (2022). Stability and error estimates for non-linear Cahn–Hilliard-type equations on evolving surfaces. Numerische Mathematik, 151(1), 1–48. https://doi.org/10.1007/s00211-022-01280-5
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2022 | Journal Article | LibreCat-ID: 45956
Bohn, J., Feischl, M., & Kovács, B. (2022). FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation. Computational Methods in Applied Mathematics, 23(1), 19–48. https://doi.org/10.1515/cmam-2022-0145
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2021 | Journal Article | LibreCat-ID: 24169
Nüske, F., Gelß, P., Klus, S., & Clementi, C. (2021). Tensor-based computation of metastable and coherent sets. Physica D: Nonlinear Phenomena, Article 133018. https://doi.org/10.1016/j.physd.2021.133018
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2021 | Journal Article | LibreCat-ID: 24170
Klus, S., Gelß, P., Nüske, F., & Noé, F. (2021). Symmetric and antisymmetric kernels for machine learning problems in quantum physics and chemistry. Machine Learning: Science and Technology, Article 045016. https://doi.org/10.1088/2632-2153/ac14ad
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2021 | Journal Article | LibreCat-ID: 21195
Goelz, C., Mora, K., Stroehlein, J. K., Haase, F. K., Dellnitz, M., Reinsberger, C., & Vieluf, S. (2021). Electrophysiological signatures of dedifferentiation differ between fit and less fit older adults. Cognitive Neurodynamics. https://doi.org/10.1007/s11571-020-09656-9
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2021 | Journal Article | LibreCat-ID: 21337 |
Berkemeier, M. B., & Peitz, S. (2021). Derivative-Free Multiobjective Trust Region Descent Method Using Radial Basis Function Surrogate Models. Mathematical and Computational Applications, 26(2). https://doi.org/10.3390/mca26020031
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2021 | Journal Article | LibreCat-ID: 21820 |
Nüske, F., Koltai, P., Boninsegna, L., & Clementi, C. (2021). Spectral Properties of Effective Dynamics from Conditional Expectations. Entropy. https://doi.org/10.3390/e23020134
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2021 | Journal Article | LibreCat-ID: 16867 |
Gebken, B., & Peitz, S. (2021). An efficient descent method for locally Lipschitz multiobjective optimization problems. Journal of Optimization Theory and Applications, 188, 696–723. https://doi.org/10.1007/s10957-020-01803-w
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2021 | Journal Article | LibreCat-ID: 16295 |
Gebken, B., & Peitz, S. (2021). Inverse multiobjective optimization: Inferring decision criteria from data. Journal of Global Optimization, 80, 3–29. https://doi.org/10.1007/s10898-020-00983-z
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2021 | Dissertation | LibreCat-ID: 32057 |
Gerlach, R. (2021). The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems. https://doi.org/10.17619/UNIPB/1-1278
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2021 | Journal Article | LibreCat-ID: 34042
Li, J., Ma, Y., Miao, Z., Shi, Y., Wang, W., & Zhang, C.-Q. (2021). Nowhere-zero 3-flows in toroidal graphs. Journal of Combinatorial Theory, Series B, 153, 61–80. https://doi.org/10.1016/j.jctb.2021.11.001
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2021 | Conference Paper | LibreCat-ID: 29421
Ober-Blöbaum, S., & Vermeeren, M. (2021). Superconvergence of galerkin variational integrators. In IFAC-PapersOnLine (Ed.), 7th IIFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC: Vol. 54(19) (pp. 327–333).
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2021 | Journal Article | LibreCat-ID: 16294 |
Ober-Blöbaum, S., & Peitz, S. (2021). Explicit multiobjective model predictive control for nonlinear systems with symmetries. International Journal of Robust and Nonlinear Control, 31(2), 380–403. https://doi.org/10.1002/rnc.5281
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2021 | Journal Article | LibreCat-ID: 29543
Djema, W., Giraldi, L., Maslovskaya, S., & Bernard, O. (2021). Turnpike features in optimal selection of species represented by quota models. Automatica, 132, Article 109804. https://doi.org/10.1016/j.automatica.2021.109804
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2021 | Journal Article | LibreCat-ID: 32810
Li, J., Ma, Y., Shi, Y., Wang, W., & Wu, Y. (2021). On 3-flow-critical graphs. European Journal of Combinatorics, 100, Article 103451. https://doi.org/10.1016/j.ejc.2021.103451
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2021 | Journal Article | LibreCat-ID: 34840
Klüners, J., & Komatsu, T. (2021). Imaginary multiquadratic number fields with class group of exponent $3$ and $5$. Mathematics of Computation, 90(329), 1483–1497. https://doi.org/10.1090/mcom/3609
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| arXiv
2021 | Journal Article | LibreCat-ID: 34912
Kirschmer, M., Narbonne, F., Ritzenthaler, C., & Robert, D. (2021). Spanning the isogeny class of a power of an elliptic curve. Mathematics of Computation, 91(333), 401–449. https://doi.org/10.1090/mcom/3672
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| DOI
2021 | Conference Paper | LibreCat-ID: 22894 |
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
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| arXiv
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
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| arXiv
2021 | Conference Paper | LibreCat-ID: 29868
Jiménez, F., & Ober-Blöbaum, S. (2021). Fractional Damping Through Restricted Calculus of Variations. Nichtlineare Sci 31, 46.
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2021 | Journal Article | LibreCat-ID: 45967
Binz, T., & Kovács, B. (2021). A convergent finite element algorithm for mean curvature flow in higher codimension. ArXiv.
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2021 | Journal Article | LibreCat-ID: 45962
Binz, T., & Kovács, B. (2021). A convergent finite element algorithm for generalized mean curvature flows of closed surfaces. IMA Journal of Numerical Analysis, 42(3), 2545–2588. https://doi.org/10.1093/imanum/drab043
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2021 | Journal Article | LibreCat-ID: 45957
Harder, P., & Kovács, B. (2021). Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions. IMA Journal of Numerical Analysis, 42(3), 2589–2620. https://doi.org/10.1093/imanum/drab045
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2021 | Journal Article | LibreCat-ID: 45961
Nick, J., Kovács, B., & Lubich, C. (2021). Correction to: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations. Numerische Mathematik, 147(4), 997–1000. https://doi.org/10.1007/s00211-021-01196-6
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2021 | Journal Article | LibreCat-ID: 45959
Kovács, B., Li, B., & Lubich, C. (2021). A convergent evolving finite element algorithm for Willmore flow of closed surfaces. Numerische Mathematik, 149(3), 595–643. https://doi.org/10.1007/s00211-021-01238-z
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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
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2020 | Journal Article | LibreCat-ID: 19939 |
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
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2020 | Book Chapter | LibreCat-ID: 17411
Flaßkamp, K., Ober-Blöbaum, S., & Peitz, S. (2020). Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach. In O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, & K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation. Cham: Springer. https://doi.org/10.1007/978-3-030-51264-4_9
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2020 | Journal Article | LibreCat-ID: 21819 |
Klus, S., Nüske, F., & Hamzi, B. (2020). Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator. Entropy. https://doi.org/10.3390/e22070722
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2020 | Journal Article | LibreCat-ID: 10596
Schütze, O., Cuate, O., Martín, A., Peitz, S., & Dellnitz, M. (2020). Pareto Explorer: a global/local exploration tool for many-objective optimization problems. Engineering Optimization, 52(5), 832–855. https://doi.org/10.1080/0305215x.2019.1617286
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2020 | Journal Article | LibreCat-ID: 16288
Klus, S., Nüske, F., Peitz, S., Niemann, J.-H., Clementi, C., & Schütte, C. (2020). Data-driven approximation of the Koopman generator: Model reduction, system identification, and control. Physica D: Nonlinear Phenomena, 406. https://doi.org/10.1016/j.physd.2020.132416
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2020 | Book Chapter | LibreCat-ID: 16289
Peitz, S., & Klus, S. (2020). Feedback Control of Nonlinear PDEs Using Data-Efficient Reduced Order Models Based on the Koopman Operator. In Lecture Notes in Control and Information Sciences (Vol. 484, pp. 257–282). Cham: Springer. https://doi.org/10.1007/978-3-030-35713-9_10
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2020 | Journal Article | LibreCat-ID: 16290 |
Bieker, K., Peitz, S., Brunton, S. L., Kutz, J. N., & Dellnitz, M. (2020). Deep model predictive flow control with limited sensor data and online learning. Theoretical and Computational Fluid Dynamics, 34, 577–591. https://doi.org/10.1007/s00162-020-00520-4
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2020 | Journal Article | LibreCat-ID: 16309
Peitz, S., Otto, S. E., & Rowley, C. W. (2020). Data-Driven Model Predictive Control using Interpolated Koopman Generators. SIAM Journal on Applied Dynamical Systems, 19(3), 2162–2193. https://doi.org/10.1137/20M1325678
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2020 | Journal Article | LibreCat-ID: 16710 |
Gerlach, R., Ziessler, A., Eckhardt, B., & Dellnitz, M. (2020). A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors. SIAM Journal on Applied Dynamical Systems, 705–723. https://doi.org/10.1137/19m1247139
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2020 | Journal Article | LibreCat-ID: 29399
Limebeer, D. J. N., Ober-Blöbaum, S., & Farshi, F. H. (2020). Variational integrators for dissipative systems. IEEE Transactions on Automatic Control, 65(4), 1381–1396.
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2020 | Journal Article | LibreCat-ID: 16297
Hernández Castellanos, C. I., Ober-Blöbaum, S., & Peitz, S. (2020). Explicit Multi-objective Model Predictive Control for Nonlinear Systems Under Uncertainty. International Journal of Robust and Nonlinear Control, 30(17), 7593–7618. https://doi.org/10.1002/rnc.5197
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2020 | Journal Article | LibreCat-ID: 29398
Hernández Castellanos, C. I. O., Schütze, G., Sun, J.-Q., Ober-Blöbaum, S., & Morales-Luna, G. (2020). Numerical computation of lightly multi-objective robust optimal solutions by means of generalized cell mapping. Mathematics, 8(11):1959.
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2020 | Conference Paper | LibreCat-ID: 29422
Lishkova, Y., Ober-Blöbaum, S., Cannon, M., & Leyendecker, S. (2020). A multirate variational approach to simulation and optimal control for flexible spacecraft. Accepted for Publication in Proceedings of 2020 AAS/AIAA Astrodynamics Specialist Conference - Lake Tahoe.
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2020 | Conference Paper | LibreCat-ID: 29423
Faulwasser, T., Flaßkamp, K., Ober-Blöbaum, S., & Worthmann, K. (2020). A dissipativity characterization of velocity turnpikes in optimal control problems for mechanical systems. 24th International Symposium on Mathematical Theory of Networks and Systems.
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2020 | Conference Paper | LibreCat-ID: 29424
Cresson, J., Jiménez, F., & Ober-Blöbaum, S. (2020). Modelling of the convection-diffusion equation through fractional restricted calculus of variations. 24th International Symposium on Mathematical Theory of Networks and Systems.
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