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458 Publications
2022 | Journal Article | LibreCat-ID: 20731 | 
Bieker, Katharina, Bennet Gebken, and Sebastian Peitz. “On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation.” IEEE Transactions on Pattern Analysis and Machine Intelligence 44, no. 11 (2022): 7797–7808. https://doi.org/10.1109/TPAMI.2021.3114962.
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2022 | Journal Article | LibreCat-ID: 34839
Klüners, Jürgen, and Jiuya Wang. “ℓ-Torsion Bounds for the Class Group of Number Fields with an ℓ-Group as Galois Group.” Proceedings of the American Mathematical Society 150, no. 7 (2022): 2793–2805. https://doi.org/10.1090/proc/15882.
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| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 34835
Klüners, Jürgen. “The Asymptotics of Nilpotent Galois Groups.” Acta Arithmetica 204, no. 2 (2022): 165–84. https://doi.org/10.4064/aa211207-16-5.
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| DOI
| arXiv
2022 | Preprint | LibreCat-ID: 43392
Kirschmer, Markus, and Jürgen Klüners. “Chow Groups of Orders in Number Fields,” 2022.
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2022 | Journal Article | LibreCat-ID: 44624
Faulwasser, Timm, Kathrin Flaßkamp, Sina Ober-Blöbaum, Manuel Schaller, and Karl Worthmann. “Manifold Turnpikes, Trims, and Symmetries.” Mathematics of Control, Signals, and Systems 34 (2022): 759–88.
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2022 | Journal Article | LibreCat-ID: 33741
Cappello, Chiara, and Eckhard Steffen. “Symmetric Set Coloring of Signed Graphs.” Annals of Combinatorics, 2022. https://doi.org/10.1007/s00026-022-00593-4.
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| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 33950
Cappello, Chiara, and Eckhard Steffen. “Frustration-Critical Signed Graphs.” Discrete Applied Mathematics 322 (2022): 183–93. https://doi.org/10.1016/j.dam.2022.08.010.
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| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 45854
Kirschmer, Markus, and Gabriele Nebe. “Binary Hermitian Lattices over Number Fields.” Experimental Mathematics 31, no. 1 (2022): 280–301. https://doi.org/10.1080/10586458.2019.1618756.
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| DOI
2022 | Journal Article | LibreCat-ID: 19941 |
McLachlan, Robert I, and Christian Offen. “Backward Error Analysis for Variational Discretisations of Partial Differential Equations.” Journal of Geometric Mechanics 14, no. 3 (2022): 447–71. https://doi.org/10.3934/jgm.2022014.
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| arXiv
2022 | Journal Article | LibreCat-ID: 23382 |
Offen, Christian, and Sina Ober-Blöbaum. “Symplectic Integration of Learned Hamiltonian Systems.” Chaos: An Interdisciplinary Journal of Nonlinear Science 32(1) (2022). https://doi.org/10.1063/5.0065913.
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| arXiv
2022 | Conference Paper | LibreCat-ID: 30733
Vertovec, Nikolaus, Sina Ober-Blöbaum, and Kostas Margellos. “Verification of Safety Critical Control Policies Using Kernel Methods,” 1870–75, 2022.
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2022 | Journal Article | LibreCat-ID: 45970
Garcke, Harald, Balázs Kovács, and Dennis Trautwein. “Viscoelastic Cahn–Hilliard Models for Tumor Growth.” Mathematical Models and Methods in Applied Sciences 32, no. 13 (2022): 2673–2758. https://doi.org/10.1142/s0218202522500634.
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2022 | Journal Article | LibreCat-ID: 45969
Elliott, Charles M., Harald Garcke, and Balázs Kovács. “Numerical Analysis for the Interaction of Mean Curvature Flow and Diffusion on Closed Surfaces.” Numerische Mathematik 151, no. 4 (2022): 873–925. https://doi.org/10.1007/s00211-022-01301-3.
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| DOI
2022 | Journal Article | LibreCat-ID: 45963
Nick, Jörg, Balázs Kovács, and Christian Lubich. “Time-Dependent Electromagnetic Scattering from Thin Layers.” Numerische Mathematik 150, no. 4 (2022): 1123–64. https://doi.org/10.1007/s00211-022-01277-0.
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| DOI
2022 | Journal Article | LibreCat-ID: 45964
Kovács, Balázs, and Buyang Li. “Maximal Regularity of Backward Difference Time Discretization for Evolving Surface PDEs and Its Application to Nonlinear Problems.” IMA Journal of Numerical Analysis, 2022. https://doi.org/10.1093/imanum/drac033.
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| DOI
2022 | Journal Article | LibreCat-ID: 45966
Altmann, Robert, Balázs Kovács, and Christoph Zimmer. “Bulk–Surface Lie Splitting for Parabolic Problems with Dynamic Boundary Conditions.” IMA Journal of Numerical Analysis 43, no. 2 (2022): 950–75. https://doi.org/10.1093/imanum/drac002.
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2022 | Journal Article | LibreCat-ID: 45968
Csomós, Petra, Bálint Farkas, and Balázs Kovács. “Error Estimates for a Splitting Integrator for Abstract Semilinear Boundary Coupled Systems.” IMA Journal of Numerical Analysis, 2022. https://doi.org/10.1093/imanum/drac079.
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| DOI
2022 | Journal Article | LibreCat-ID: 45958
Beschle, Cedric Aaron, and Balázs Kovács. “Stability and Error Estimates for Non-Linear Cahn–Hilliard-Type Equations on Evolving Surfaces.” Numerische Mathematik 151, no. 1 (2022): 1–48. https://doi.org/10.1007/s00211-022-01280-5.
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| DOI
2022 | Journal Article | LibreCat-ID: 45956
Bohn, Jan, Michael Feischl, and Balázs Kovács. “FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation.” Computational Methods in Applied Mathematics 23, no. 1 (2022): 19–48. https://doi.org/10.1515/cmam-2022-0145.
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| DOI
2021 | Journal Article | LibreCat-ID: 24169
Nüske, Feliks, Patrick Gelß, Stefan Klus, and Cecilia Clementi. “Tensor-Based Computation of Metastable and Coherent Sets.” Physica D: Nonlinear Phenomena, 2021. https://doi.org/10.1016/j.physd.2021.133018.
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| DOI
2021 | Journal Article | LibreCat-ID: 24170
Klus, Stefan, Patrick Gelß, Feliks Nüske, and Frank Noé. “Symmetric and Antisymmetric Kernels for Machine Learning Problems in Quantum Physics and Chemistry.” Machine Learning: Science and Technology, 2021. https://doi.org/10.1088/2632-2153/ac14ad.
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2021 | Journal Article | LibreCat-ID: 21195
Goelz, Christian, Karin Mora, Julia Kristin Stroehlein, Franziska Katharina Haase, Michael Dellnitz, Claus Reinsberger, and Solveig Vieluf. “Electrophysiological Signatures of Dedifferentiation Differ between Fit and Less Fit Older Adults.” Cognitive Neurodynamics, 2021. https://doi.org/10.1007/s11571-020-09656-9.
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2021 | Journal Article | LibreCat-ID: 21337 |
Berkemeier, Manuel Bastian, and Sebastian Peitz. “Derivative-Free Multiobjective Trust Region Descent Method Using Radial Basis Function Surrogate Models.” Mathematical and Computational Applications 26, no. 2 (2021). https://doi.org/10.3390/mca26020031.
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2021 | Journal Article | LibreCat-ID: 21820 |
Nüske, Feliks, Péter Koltai, Lorenzo Boninsegna, and Cecilia Clementi. “Spectral Properties of Effective Dynamics from Conditional Expectations.” Entropy, 2021. https://doi.org/10.3390/e23020134.
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2021 | Journal Article | LibreCat-ID: 16867 |
Gebken, Bennet, and Sebastian Peitz. “An Efficient Descent Method for Locally Lipschitz Multiobjective Optimization Problems.” Journal of Optimization Theory and Applications 188 (2021): 696–723. https://doi.org/10.1007/s10957-020-01803-w.
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2021 | Journal Article | LibreCat-ID: 16295 |
Gebken, Bennet, and Sebastian Peitz. “Inverse Multiobjective Optimization: Inferring Decision Criteria from Data.” Journal of Global Optimization 80 (2021): 3–29. https://doi.org/10.1007/s10898-020-00983-z.
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2021 | Dissertation | LibreCat-ID: 32057 |
Gerlach, Raphael. The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems, 2021. https://doi.org/10.17619/UNIPB/1-1278.
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2021 | Journal Article | LibreCat-ID: 34042
Li, Jiaao, Yulai Ma, Zhengke Miao, Yongtang Shi, Weifan Wang, and Cun-Quan Zhang. “Nowhere-Zero 3-Flows in Toroidal Graphs.” Journal of Combinatorial Theory, Series B 153 (2021): 61–80. https://doi.org/10.1016/j.jctb.2021.11.001.
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| DOI
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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| DOI
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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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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| DOI
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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| DOI
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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| DOI
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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| DOI
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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