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