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459 Publications
2021 | Conference Paper | LibreCat-ID: 29421
Ober-Blöbaum, Sina, and M. Vermeeren. “Superconvergence of Galerkin Variational Integrators.” In 7th IIFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC, edited by IFAC-PapersOnLine, 54(19):327–33, 2021.
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2021 | Journal Article | LibreCat-ID: 16294 | 
Ober-Blöbaum, Sina, and Sebastian Peitz. “Explicit Multiobjective Model Predictive Control for Nonlinear Systems with Symmetries.” International Journal of Robust and Nonlinear Control 31(2) (2021): 380–403. https://doi.org/10.1002/rnc.5281.
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2021 | Journal Article | LibreCat-ID: 29543
Djema, Walid, Laetitia Giraldi, Sofya Maslovskaya, and Olivier Bernard. “Turnpike Features in Optimal Selection of Species Represented by Quota Models.” Automatica 132 (2021). https://doi.org/10.1016/j.automatica.2021.109804.
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2021 | Journal Article | LibreCat-ID: 32810
Li, Jiaao, Yulai Ma, Yongtang Shi, Weifan Wang, and Yezhou Wu. “On 3-Flow-Critical Graphs.” European Journal of Combinatorics 100 (2021). https://doi.org/10.1016/j.ejc.2021.103451.
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| DOI
2021 | Journal Article | LibreCat-ID: 34840
Klüners, Jürgen, and Toru Komatsu. “Imaginary Multiquadratic Number Fields with Class Group of Exponent $3$ and $5$.” Mathematics of Computation 90, no. 329 (2021): 1483–97. https://doi.org/10.1090/mcom/3609.
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| DOI
| arXiv
2021 | Journal Article | LibreCat-ID: 34912
Kirschmer, Markus, Fabien Narbonne, Christophe Ritzenthaler, and Damien Robert. “Spanning the Isogeny Class of a Power of an Elliptic Curve.” Mathematics of Computation 91, no. 333 (2021): 401–49. https://doi.org/10.1090/mcom/3672.
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2021 | Conference Paper | LibreCat-ID: 22894 |
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.
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| arXiv
2021 | Conference Paper | LibreCat-ID: 21572
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.
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| arXiv
2021 | Conference Paper | LibreCat-ID: 29868
Jiménez, F., and Sina Ober-Blöbaum. “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, Tim, and Balázs Kovács. “A Convergent Finite Element Algorithm for Mean Curvature Flow in Higher Codimension.” ArXiv, 2021.
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2021 | Journal Article | LibreCat-ID: 45962
Binz, Tim, and Balázs Kovács. “A Convergent Finite Element Algorithm for Generalized Mean Curvature Flows of Closed Surfaces.” IMA Journal of Numerical Analysis 42, no. 3 (2021): 2545–88. https://doi.org/10.1093/imanum/drab043.
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2021 | Journal Article | LibreCat-ID: 45957
Harder, Paula, and Balázs Kovács. “Error Estimates for the Cahn–Hilliard Equation with Dynamic Boundary Conditions.” IMA Journal of Numerical Analysis 42, no. 3 (2021): 2589–2620. https://doi.org/10.1093/imanum/drab045.
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2021 | Journal Article | LibreCat-ID: 45961
Nick, Jörg, Balázs Kovács, and Christian Lubich. “Correction to: Stable and Convergent Fully Discrete Interior–Exterior Coupling of Maxwell’s Equations.” Numerische Mathematik 147, no. 4 (2021): 997–1000. https://doi.org/10.1007/s00211-021-01196-6.
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| DOI
2021 | Journal Article | LibreCat-ID: 45959
Kovács, Balázs, Buyang Li, and Christian Lubich. “A Convergent Evolving Finite Element Algorithm for Willmore Flow of Closed Surfaces.” Numerische Mathematik 149, no. 3 (2021): 595–643. https://doi.org/10.1007/s00211-021-01238-z.
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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.
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2020 | Journal Article | LibreCat-ID: 19939 |
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.
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2020 | Book Chapter | LibreCat-ID: 17411
Flaßkamp, Kathrin, Sina Ober-Blöbaum, and Sebastian Peitz. “Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach.” In Advances in Dynamics, Optimization and Computation, edited by Oliver Junge, Oliver Schütze, Gary Froyland, Sina Ober-Blöbaum, and Kathrin Padberg-Gehle. Cham: Springer, 2020. https://doi.org/10.1007/978-3-030-51264-4_9.
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2020 | Journal Article | LibreCat-ID: 21819 |
Klus, Stefan, Feliks Nüske, and Boumediene Hamzi. “Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator.” Entropy, 2020. https://doi.org/10.3390/e22070722.
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2020 | Journal Article | LibreCat-ID: 10596
Schütze, Oliver, Oliver Cuate, Adanay Martín, Sebastian Peitz, and Michael Dellnitz. “Pareto Explorer: A Global/Local Exploration Tool for Many-Objective Optimization Problems.” Engineering Optimization 52, no. 5 (2020): 832–55. https://doi.org/10.1080/0305215x.2019.1617286.
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2020 | Journal Article | LibreCat-ID: 16288
Klus, Stefan, Feliks Nüske, Sebastian Peitz, Jan-Hendrik Niemann, Cecilia Clementi, and Christof Schütte. “Data-Driven Approximation of the Koopman Generator: Model Reduction, System Identification, and Control.” Physica D: Nonlinear Phenomena 406 (2020). https://doi.org/10.1016/j.physd.2020.132416.
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2020 | Book Chapter | LibreCat-ID: 16289
Peitz, Sebastian, and Stefan Klus. “Feedback Control of Nonlinear PDEs Using Data-Efficient Reduced Order Models Based on the Koopman Operator.” In Lecture Notes in Control and Information Sciences, 484:257–82. Lecture Notes in Control and Information Sciences. Cham: Springer, 2020. https://doi.org/10.1007/978-3-030-35713-9_10.
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2020 | Journal Article | LibreCat-ID: 16290 |
Bieker, Katharina, Sebastian Peitz, Steven L. Brunton, J. Nathan Kutz, and Michael Dellnitz. “Deep Model Predictive Flow Control with Limited Sensor Data and Online Learning.” Theoretical and Computational Fluid Dynamics 34 (2020): 577–591. https://doi.org/10.1007/s00162-020-00520-4.
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2020 | Journal Article | LibreCat-ID: 16309
Peitz, Sebastian, Samuel E. Otto, and Clarence W. Rowley. “Data-Driven Model Predictive Control Using Interpolated Koopman Generators.” SIAM Journal on Applied Dynamical Systems 19, no. 3 (2020): 2162–93. https://doi.org/10.1137/20M1325678.
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2020 | Journal Article | LibreCat-ID: 16710 |
Gerlach, Raphael, Adrian Ziessler, Bruno Eckhardt, and Michael Dellnitz. “A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors.” SIAM Journal on Applied Dynamical Systems, 2020, 705–23. https://doi.org/10.1137/19m1247139.
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2020 | Journal Article | LibreCat-ID: 29399
Limebeer, D. J. N., Sina Ober-Blöbaum, and F. H. Farshi. “Variational Integrators for Dissipative Systems.” IEEE Transactions on Automatic Control 65(4) (2020): 1381–96.
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2020 | Journal Article | LibreCat-ID: 16297
Hernández Castellanos, Carlos Ignacio, Sina Ober-Blöbaum, and Sebastian Peitz. “Explicit Multi-Objective Model Predictive Control for Nonlinear Systems Under Uncertainty.” International Journal of Robust and Nonlinear Control 30(17) (2020): 7593–7618. https://doi.org/10.1002/rnc.5197.
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2020 | Journal Article | LibreCat-ID: 29398
Hernández Castellanos, C. I. O., G. Schütze, J.-Q. Sun, Sina Ober-Blöbaum, and G. Morales-Luna. “Numerical Computation of Lightly Multi-Objective Robust Optimal Solutions by Means of Generalized Cell Mapping.” Mathematics 8(11):1959 (2020).
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2020 | Conference Paper | LibreCat-ID: 29422
Lishkova, Y., Sina Ober-Blöbaum, M. Cannon, and S. Leyendecker. “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., K. Flaßkamp, Sina Ober-Blöbaum, and K. Worthmann. “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. , F. Jiménez, and Sina Ober-Blöbaum. “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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2020 | Journal Article | LibreCat-ID: 29545
Jean, Frédéric, Sofya Maslovskaya, and Igor Zelenko. “On Weyl’s Type Theorems and Genericity of Projective Rigidity in Sub-Riemannian Geometry.” Geometriae Dedicata 213, no. 1 (2020): 295–314. https://doi.org/10.1007/s10711-020-00581-z.
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2020 | Conference Abstract | LibreCat-ID: 29546 |
Maslovskaya, Sofya, Jean-Baptiste Caillau, Walid Djema, Laetitia Giraldi, Jean-Luc Jean-Luc, and Jean-Baptiste Pomet. “The Turnpike Property in Maximization of Microbial Metabolite Production,” 2020.
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2020 | Journal Article | LibreCat-ID: 34842
Elsenhans, Andreas-Stephan, Jürgen Klüners, and Florin Nicolae. “Imaginary Quadratic Number Fields with Class Groups of Small Exponent.” Acta Arithmetica 193, no. 3 (2020): 217–33. https://doi.org/10.4064/aa180220-20-3.
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| DOI
| arXiv
2020 | Journal Article | LibreCat-ID: 34841
Klüners, Jürgen, and Raphael Müller. “The Conductor Density of Local Function Fields with Abelian Galois Group.” Journal of Number Theory 212 (2020): 311–22. https://doi.org/10.1016/j.jnt.2019.11.007.
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| DOI
| arXiv
2020 | Book Chapter | LibreCat-ID: 29413
Flaßkamp, K., Sina Ober-Blöbaum, and S. Peitz. “Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach.” In Advances in Dynamics, Optimization and Computation, edited by Oliver Junge, Oliver Schütze, Gary Froyland, Sina Ober-Blöbaum, and Kathrin Padberg-Gehle, 209–37. Cham: Springer International Publishing, 2020.
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2020 | Book Chapter | LibreCat-ID: 17994
Gerlach, Raphael, and Adrian Ziessler. “The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems.” In Advances in Dynamics, Optimization and Computation, edited by Oliver Junge, Oliver Schütze, Sina Ober-Blöbaum, and Kathrin Padberg-Gehle, 304:66–85. Studies in Systems, Decision and Control. Cham: Springer International Publishing, 2020. https://doi.org/10.1007/978-3-030-51264-4_3.
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2020 | Journal Article | LibreCat-ID: 16712
Dellnitz, Michael, Bennet Gebken, Raphael Gerlach, and Stefan Klus. “On the Equivariance Properties of Self-Adjoint Matrices.” Dynamical Systems 35, no. 2 (2020): 197–215. https://doi.org/10.1080/14689367.2019.1661355.
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2020 | Journal Article | LibreCat-ID: 45954
Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave Equations with Dynamic Boundary Conditions: L2 Estimates.” IMA Journal of Numerical Analysis 41, no. 1 (2020): 638–728. https://doi.org/10.1093/imanum/drz073.
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2020 | Journal Article | LibreCat-ID: 45953
Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave Equations with Dynamic Boundary Conditions: L2 Estimates.” IMA Journal of Numerical Analysis 41, no. 1 (2020): 638–728. https://doi.org/10.1093/imanum/drz073.
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2020 | Journal Article | LibreCat-ID: 45955
Akrivis, Georgios, Michael Feischl, Balázs Kovács, and Christian Lubich. “Higher-Order Linearly Implicit Full Discretization of the Landau–Lifshitz–Gilbert Equation.” Mathematics of Computation 90, no. 329 (2020): 995–1038. https://doi.org/10.1090/mcom/3597.
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| DOI
2020 | Journal Article | LibreCat-ID: 45952
Kovács, Balázs, Buyang Li, and Christian Lubich. “A Convergent Algorithm for Forced Mean Curvature Flow Driven by Diffusion on the Surface.” Interfaces and Free Boundaries 22, no. 4 (2020): 443–64. https://doi.org/10.4171/ifb/446.
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2019 | Journal Article | LibreCat-ID: 19945 |
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.
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2019 | Journal Article | LibreCat-ID: 21944
Nüske, Feliks, Lorenzo Boninsegna, and Cecilia Clementi. “Coarse-Graining Molecular Systems by Spectral Matching.” The Journal of Chemical Physics, 2019. https://doi.org/10.1063/1.5100131.
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2019 | Journal Article | LibreCat-ID: 16709
Sahai, Tuhin, Adrian Ziessler, Stefan Klus, and Michael Dellnitz. “Continuous Relaxations for the Traveling Salesman Problem.” Nonlinear Dynamics, 2019. https://doi.org/10.1007/s11071-019-05092-5.
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2019 | Journal Article | LibreCat-ID: 10593
Peitz, Sebastian, and Stefan Klus. “Koopman Operator-Based Model Reduction for Switched-System Control of PDEs.” Automatica 106 (2019): 184–91. https://doi.org/10.1016/j.automatica.2019.05.016.
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2019 | Journal Article | LibreCat-ID: 10595
Gebken, Bennet, Sebastian Peitz, and Michael Dellnitz. “On the Hierarchical Structure of Pareto Critical Sets.” Journal of Global Optimization 73, no. 4 (2019): 891–913. https://doi.org/10.1007/s10898-019-00737-6.
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2019 | Conference Paper | LibreCat-ID: 10597
Hanke, Soren, Sebastian Peitz, Oliver Wallscheid, Joachim Böcker, and Michael Dellnitz. “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), 2019. https://doi.org/10.1109/precede.2019.8753313.
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2019 | Preprint | LibreCat-ID: 16711 |
Gerlach, Raphael, Péter Koltai, and Michael Dellnitz. “Revealing the Intrinsic Geometry of Finite Dimensional Invariant Sets of Infinite Dimensional Dynamical Systems.” ArXiv:1902.08824, 2019.
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2019 | Misc | LibreCat-ID: 8482
Jurgelucks, Benjamin, Veronika Schulze, Nadine Feldmann, and Leander Claes. Arbitrary Sensitivity for Inverse Problems in Piezoelectricity. GAMM Annual Meeting, Wien, 2019.
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