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458 Publications
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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2020 | Journal Article | LibreCat-ID: 29545
Jean, F., Maslovskaya, S., & Zelenko, I. (2020). On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry. Geometriae Dedicata, 213(1), 295–314. https://doi.org/10.1007/s10711-020-00581-z
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2020 | Conference Abstract | LibreCat-ID: 29546 |
Maslovskaya, S., Caillau, J.-B., Djema, W., Giraldi, L., Jean-Luc, J.-L., & Pomet, J.-B. (2020). The turnpike property in maximization of microbial metabolite production. IFAC 2020 - 21rst IFAC World Congress.
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2020 | Journal Article | LibreCat-ID: 34842
Elsenhans, A.-S., Klüners, J., & Nicolae, F. (2020). Imaginary quadratic number fields with class groups of small exponent. Acta Arithmetica, 193(3), 217–233. https://doi.org/10.4064/aa180220-20-3
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| DOI
| arXiv
2020 | Journal Article | LibreCat-ID: 34841
Klüners, J., & Müller, R. (2020). The conductor density of local function fields with abelian Galois group. Journal of Number Theory, 212, 311–322. https://doi.org/10.1016/j.jnt.2019.11.007
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| arXiv
2020 | Book Chapter | LibreCat-ID: 29413
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 (pp. 209–237). Springer International Publishing.
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2020 | Book Chapter | LibreCat-ID: 17994
Gerlach, R., & Ziessler, A. (2020). The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems. In O. Junge, O. Schütze, S. Ober-Blöbaum, & K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation (Vol. 304, pp. 66–85). Springer International Publishing. https://doi.org/10.1007/978-3-030-51264-4_3
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2020 | Journal Article | LibreCat-ID: 16712
Dellnitz, M., Gebken, B., Gerlach, R., & Klus, S. (2020). On the equivariance properties of self-adjoint matrices. Dynamical Systems, 35(2), 197–215. https://doi.org/10.1080/14689367.2019.1661355
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2020 | Journal Article | LibreCat-ID: 45954
Hipp, D., & Kovács, B. (2020). Finite element error analysis of wave equations with dynamic boundary conditions: L2 estimates. IMA Journal of Numerical Analysis, 41(1), 638–728. https://doi.org/10.1093/imanum/drz073
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2020 | Journal Article | LibreCat-ID: 45953
Hipp, D., & Kovács, B. (2020). Finite element error analysis of wave equations with dynamic boundary conditions: L2 estimates. IMA Journal of Numerical Analysis, 41(1), 638–728. https://doi.org/10.1093/imanum/drz073
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2020 | Journal Article | LibreCat-ID: 45955
Akrivis, G., Feischl, M., Kovács, B., & Lubich, C. (2020). Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation. Mathematics of Computation, 90(329), 995–1038. https://doi.org/10.1090/mcom/3597
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2020 | Journal Article | LibreCat-ID: 45952
Kovács, B., Li, B., & Lubich, C. (2020). A convergent algorithm for forced mean curvature flow driven by diffusion on the surface. Interfaces and Free Boundaries, 22(4), 443–464. https://doi.org/10.4171/ifb/446
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2019 | Journal Article | LibreCat-ID: 19945 |
McLachlan, R. I., Offen, C., & Tapley, B. K. (2019). Symplectic integration of PDEs using Clebsch variables. Journal of Computational Dynamics, 6(1), 111–130. https://doi.org/10.3934/jcd.2019005
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2019 | Journal Article | LibreCat-ID: 21944
Nüske, F., Boninsegna, L., & Clementi, C. (2019). Coarse-graining molecular systems by spectral matching. The Journal of Chemical Physics. https://doi.org/10.1063/1.5100131
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2019 | Journal Article | LibreCat-ID: 16709
Sahai, T., Ziessler, A., Klus, S., & Dellnitz, M. (2019). Continuous relaxations for the traveling salesman problem. Nonlinear Dynamics. https://doi.org/10.1007/s11071-019-05092-5
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2019 | Journal Article | LibreCat-ID: 10593
Peitz, S., & Klus, S. (2019). Koopman operator-based model reduction for switched-system control of PDEs. Automatica, 106, 184–191. https://doi.org/10.1016/j.automatica.2019.05.016
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2019 | Journal Article | LibreCat-ID: 10595
Gebken, B., Peitz, S., & Dellnitz, M. (2019). On the hierarchical structure of Pareto critical sets. Journal of Global Optimization, 73(4), 891–913. https://doi.org/10.1007/s10898-019-00737-6
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| DOI
2019 | Conference Paper | LibreCat-ID: 10597
Hanke, S., Peitz, S., Wallscheid, O., Böcker, J., & Dellnitz, M. (2019). Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous Motor Application with Online Least Squares System Identification. In 2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE). https://doi.org/10.1109/precede.2019.8753313
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| DOI
2019 | Preprint | LibreCat-ID: 16711 |
Gerlach, R., Koltai, P., & Dellnitz, M. (2019). Revealing the intrinsic geometry of finite dimensional invariant sets of infinite dimensional dynamical systems. In arXiv:1902.08824.
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2019 | Misc | LibreCat-ID: 8482
Jurgelucks, B., Schulze, V., Feldmann, N., & Claes, L. (2019). Arbitrary sensitivity for inverse problems in piezoelectricity.
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2019 | Journal Article | LibreCat-ID: 34915
Kirschmer, M. (2019). Determinant groups of Hermitian lattices over local fields. Archiv Der Mathematik, 113(4), 337–347. https://doi.org/10.1007/s00013-019-01348-z
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2019 | Journal Article | LibreCat-ID: 21
Richters, D., Lass, M., Walther, A., Plessl, C., & Kühne, T. (2019). A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices. Communications in Computational Physics, 25(2), 564–585. https://doi.org/10.4208/cicp.OA-2018-0053
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| DOI
| arXiv
2019 | Conference Paper | LibreCat-ID: 29867
Faulwasser, T., Flaßkamp, K., Ober-Blöbaum, S., & Worthmann, K. (2019). Towards velocity turnpikes in optimal control of mechanical systems: Vol. 52(16) (IFAC-PapersOnLine, Ed.; pp. 490–495).
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2019 | Journal Article | LibreCat-ID: 16708
Ziessler, A., Dellnitz, M., & Gerlach, R. (2019). The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques. SIAM Journal on Applied Dynamical Systems, 18(3), 1265–1292. https://doi.org/10.1137/18m1204395
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2019 | Journal Article | LibreCat-ID: 34917
Kirschmer, M., & Nebe, G. (2019). Quaternary quadratic lattices over number fields. International Journal of Number Theory, 15(02), 309–325. https://doi.org/10.1142/s1793042119500131
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2019 | Journal Article | LibreCat-ID: 34916
Kirschmer, M. (2019). Automorphisms of even unimodular lattices over number fields. Journal of Number Theory, 197, 121–134. https://doi.org/10.1016/j.jnt.2018.08.004
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2019 | Journal Article | LibreCat-ID: 45948
Kovács, B., Li, B., & Lubich, C. (2019). A convergent evolving finite element algorithm for mean curvature flow of closed surfaces. Numerische Mathematik, 143(4), 797–853. https://doi.org/10.1007/s00211-019-01074-2
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2018 | Journal Article | LibreCat-ID: 19935
McLachlan, R. I., & Offen, C. (2018). Bifurcation of solutions to Hamiltonian boundary value problems. Nonlinearity, 2895–2927. https://doi.org/10.1088/1361-6544/aab630
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2018 | Journal Article | LibreCat-ID: 19937
McLachlan, R. I., & Offen, C. (2018). Symplectic integration of boundary value problems. Numerical Algorithms, 1219–1233. https://doi.org/10.1007/s11075-018-0599-7
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2018 | Preprint | LibreCat-ID: 21634 |
Hanke, S., Peitz, S., Wallscheid, O., Klus, S., Böcker, J., & Dellnitz, M. (2018). Koopman Operator-Based Finite-Control-Set Model Predictive Control for Electrical Drives. ArXiv:1804.00854.
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2018 | Journal Article | LibreCat-ID: 21940
Litzinger, F., Boninsegna, L., Wu, H., Nüske, F., Patel, R., Baraniuk, R., … Clementi, C. (2018). Rapid Calculation of Molecular Kinetics Using Compressed Sensing. Journal of Chemical Theory and Computation, 2771–2783. https://doi.org/10.1021/acs.jctc.8b00089
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2018 | Journal Article | LibreCat-ID: 21941
Klus, S., Nüske, F., Koltai, P., Wu, H., Kevrekidis, I., Schütte, C., & Noé, F. (2018). Data-Driven Model Reduction and Transfer Operator Approximation. Journal of Nonlinear Science, 985–1010. https://doi.org/10.1007/s00332-017-9437-7
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2018 | Journal Article | LibreCat-ID: 21942
Boninsegna, L., Nüske, F., & Clementi, C. (2018). Sparse learning of stochastic dynamical equations. The Journal of Chemical Physics. https://doi.org/10.1063/1.5018409
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2018 | Journal Article | LibreCat-ID: 21943
Hruska, E., Abella, J. R., Nüske, F., Kavraki, L. E., & Clementi, C. (2018). Quantitative comparison of adaptive sampling methods for protein dynamics. The Journal of Chemical Physics. https://doi.org/10.1063/1.5053582
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2018 | Conference Paper | LibreCat-ID: 8750
Gebken, B., Peitz, S., & Dellnitz, M. (2018). A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems. In Numerical and Evolutionary Optimization – NEO 2017. Cham. https://doi.org/10.1007/978-3-319-96104-0_2
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2018 | Journal Article | LibreCat-ID: 8751 |
Peitz, S., & Dellnitz, M. (2018). A Survey of Recent Trends in Multiobjective Optimal Control—Surrogate Models, Feedback Control and Objective Reduction. Mathematical and Computational Applications, 23(2). https://doi.org/10.3390/mca23020030
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2018 | Book Chapter | LibreCat-ID: 8754
Beermann, D., Dellnitz, M., Peitz, S., & Volkwein, S. (2018). Set-Oriented Multiobjective Optimal Control of PDEs Using Proper Orthogonal Decomposition. In Reduced-Order Modeling (ROM) for Simulation and Optimization (pp. 47–72). Cham. https://doi.org/10.1007/978-3-319-75319-5_3
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2018 | Journal Article | LibreCat-ID: 8755
Klus, S., Gelß, P., Peitz, S., & Schütte, C. (2018). Tensor-based dynamic mode decomposition. Nonlinearity, 31(7), 3359–3380. https://doi.org/10.1088/1361-6544/aabc8f
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2018 | Conference Paper | LibreCat-ID: 8757
Beermann, D., Dellnitz, M., Peitz, S., & Volkwein, S. (2018). POD-based multiobjective optimal control of PDEs with non-smooth objectives. In PAMM (pp. 51–54). https://doi.org/10.1002/pamm.201710015
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2018 | Misc | LibreCat-ID: 6595
Feldmann, N., Jurgelucks, B., Claes, L., & Henning, B. (2018). Vollständige Charakterisierung von piezoelektrischen Scheiben mit Ringelektroden. Workshop “Messtechnische Anwendungen von Ultraschall”, Drübeck.
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