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458 Publications
2021 | Journal Article | LibreCat-ID: 45962
A convergent finite element algorithm for generalized mean curvature flows of closed surfaces
T. Binz, B. Kovács, IMA Journal of Numerical Analysis 42 (2021) 2545–2588.
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| DOI
T. Binz, B. Kovács, IMA Journal of Numerical Analysis 42 (2021) 2545–2588.
2021 | Journal Article | LibreCat-ID: 45957
Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions
P. Harder, B. Kovács, IMA Journal of Numerical Analysis 42 (2021) 2589–2620.
LibreCat
| DOI
P. Harder, B. Kovács, IMA Journal of Numerical Analysis 42 (2021) 2589–2620.
2021 | Journal Article | LibreCat-ID: 45961
Correction to: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations
J. Nick, B. Kovács, C. Lubich, Numerische Mathematik 147 (2021) 997–1000.
LibreCat
| DOI
J. Nick, B. Kovács, C. Lubich, Numerische Mathematik 147 (2021) 997–1000.
2021 | Journal Article | LibreCat-ID: 45959
A convergent evolving finite element algorithm for Willmore flow of closed surfaces
B. Kovács, B. Li, C. Lubich, Numerische Mathematik 149 (2021) 595–643.
LibreCat
| DOI
B. Kovács, B. Li, C. Lubich, Numerische Mathematik 149 (2021) 595–643.
2020 | Journal Article | LibreCat-ID: 19938
Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation
R.I. McLachlan, C. Offen, Foundations of Computational Mathematics 20 (2020) 1363–1400.
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R.I. McLachlan, C. Offen, Foundations of Computational Mathematics 20 (2020) 1363–1400.
2020 | Journal Article | LibreCat-ID: 19939 | 
Detection of high codimensional bifurcations in variational PDEs
L.M. Kreusser, R.I. McLachlan, C. Offen, Nonlinearity 33 (2020) 2335–2363.
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L.M. Kreusser, R.I. McLachlan, C. Offen, Nonlinearity 33 (2020) 2335–2363.
2020 | Book Chapter | LibreCat-ID: 17411
Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach
K. Flaßkamp, S. Ober-Blöbaum, S. Peitz, in: O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer, Cham, 2020.
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| DOI
K. Flaßkamp, S. Ober-Blöbaum, S. Peitz, in: O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer, Cham, 2020.
2020 | Journal Article | LibreCat-ID: 21819 |
Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator
S. Klus, F. Nüske, B. Hamzi, Entropy (2020).
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S. Klus, F. Nüske, B. Hamzi, Entropy (2020).
2020 | Journal Article | LibreCat-ID: 10596
Pareto Explorer: a global/local exploration tool for many-objective optimization problems
O. Schütze, O. Cuate, A. Martín, S. Peitz, M. Dellnitz, Engineering Optimization 52 (2020) 832–855.
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| DOI
O. Schütze, O. Cuate, A. Martín, S. Peitz, M. Dellnitz, Engineering Optimization 52 (2020) 832–855.
2020 | Journal Article | LibreCat-ID: 16288
Data-driven approximation of the Koopman generator: Model reduction, system identification, and control
S. Klus, F. Nüske, S. Peitz, J.-H. Niemann, C. Clementi, C. Schütte, Physica D: Nonlinear Phenomena 406 (2020).
LibreCat
| DOI
S. Klus, F. Nüske, S. Peitz, J.-H. Niemann, C. Clementi, C. Schütte, Physica D: Nonlinear Phenomena 406 (2020).
2020 | Book Chapter | LibreCat-ID: 16289
Feedback Control of Nonlinear PDEs Using Data-Efficient Reduced Order Models Based on the Koopman Operator
S. Peitz, S. Klus, in: Lecture Notes in Control and Information Sciences, Springer, Cham, 2020, pp. 257–282.
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| DOI
S. Peitz, S. Klus, in: Lecture Notes in Control and Information Sciences, Springer, Cham, 2020, pp. 257–282.
2020 | Journal Article | LibreCat-ID: 16290 |
Deep model predictive flow control with limited sensor data and online learning
K. Bieker, S. Peitz, S.L. Brunton, J.N. Kutz, M. Dellnitz, Theoretical and Computational Fluid Dynamics 34 (2020) 577–591.
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K. Bieker, S. Peitz, S.L. Brunton, J.N. Kutz, M. Dellnitz, Theoretical and Computational Fluid Dynamics 34 (2020) 577–591.
2020 | Journal Article | LibreCat-ID: 16309
Data-Driven Model Predictive Control using Interpolated Koopman Generators
S. Peitz, S.E. Otto, C.W. Rowley, SIAM Journal on Applied Dynamical Systems 19 (2020) 2162–2193.
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S. Peitz, S.E. Otto, C.W. Rowley, SIAM Journal on Applied Dynamical Systems 19 (2020) 2162–2193.
2020 | Journal Article | LibreCat-ID: 16710 |
A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors
R. Gerlach, A. Ziessler, B. Eckhardt, M. Dellnitz, SIAM Journal on Applied Dynamical Systems (2020) 705–723.
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R. Gerlach, A. Ziessler, B. Eckhardt, M. Dellnitz, SIAM Journal on Applied Dynamical Systems (2020) 705–723.
2020 | Journal Article | LibreCat-ID: 29399
Variational integrators for dissipative systems
D.J.N. Limebeer, S. Ober-Blöbaum, F.H. Farshi, IEEE Transactions on Automatic Control 65(4) (2020) 1381–1396.
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D.J.N. Limebeer, S. Ober-Blöbaum, F.H. Farshi, IEEE Transactions on Automatic Control 65(4) (2020) 1381–1396.
2020 | Journal Article | LibreCat-ID: 16297
Explicit Multi-objective Model Predictive Control for Nonlinear Systems Under Uncertainty
C.I. Hernández Castellanos, S. Ober-Blöbaum, S. Peitz, International Journal of Robust and Nonlinear Control 30(17) (2020) 7593–7618.
LibreCat
| DOI
C.I. Hernández Castellanos, S. Ober-Blöbaum, S. Peitz, International Journal of Robust and Nonlinear Control 30(17) (2020) 7593–7618.
2020 | Journal Article | LibreCat-ID: 29398
Numerical computation of lightly multi-objective robust optimal solutions by means of generalized cell mapping
C.I.O. Hernández Castellanos, G. Schütze, J.-Q. Sun, S. Ober-Blöbaum, G. Morales-Luna, Mathematics 8(11):1959 (2020).
LibreCat
C.I.O. Hernández Castellanos, G. Schütze, J.-Q. Sun, S. Ober-Blöbaum, G. Morales-Luna, Mathematics 8(11):1959 (2020).
2020 | Conference Paper | LibreCat-ID: 29422
A multirate variational approach to simulation and optimal control for flexible spacecraft
Y. Lishkova, S. Ober-Blöbaum, M. Cannon, S. Leyendecker, in: Accepted for Publication in Proceedings of 2020 AAS/AIAA Astrodynamics Specialist Conference - Lake Tahoe, 2020.
LibreCat
Y. Lishkova, S. Ober-Blöbaum, M. Cannon, S. Leyendecker, in: Accepted for Publication in Proceedings of 2020 AAS/AIAA Astrodynamics Specialist Conference - Lake Tahoe, 2020.
2020 | Conference Paper | LibreCat-ID: 29423
A dissipativity characterization of velocity turnpikes in optimal control problems for mechanical systems
T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, K. Worthmann, in: 24th International Symposium on Mathematical Theory of Networks and Systems, 2020.
LibreCat
T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, K. Worthmann, in: 24th International Symposium on Mathematical Theory of Networks and Systems, 2020.
2020 | Conference Paper | LibreCat-ID: 29424
Modelling of the convection-diffusion equation through fractional restricted calculus of variations
J. Cresson, F. Jiménez, S. Ober-Blöbaum, in: 24th International Symposium on Mathematical Theory of Networks and Systems, 2020.
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J. Cresson, F. Jiménez, S. Ober-Blöbaum, in: 24th International Symposium on Mathematical Theory of Networks and Systems, 2020.
2020 | Journal Article | LibreCat-ID: 29545
On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry
F. Jean, S. Maslovskaya, I. Zelenko, Geometriae Dedicata 213 (2020) 295–314.
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| DOI
F. Jean, S. Maslovskaya, I. Zelenko, Geometriae Dedicata 213 (2020) 295–314.
2020 | Conference Abstract | LibreCat-ID: 29546 |
The turnpike property in maximization of microbial metabolite production
S. Maslovskaya, J.-B. Caillau, W. Djema, L. Giraldi, J.-L. Jean-Luc, J.-B. Pomet, in: 2020.
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S. Maslovskaya, J.-B. Caillau, W. Djema, L. Giraldi, J.-L. Jean-Luc, J.-B. Pomet, in: 2020.
2020 | Journal Article | LibreCat-ID: 34842
Imaginary quadratic number fields with class groups of small exponent
A.-S. Elsenhans, J. Klüners, F. Nicolae, Acta Arithmetica 193 (2020) 217–233.
LibreCat
| DOI
| arXiv
A.-S. Elsenhans, J. Klüners, F. Nicolae, Acta Arithmetica 193 (2020) 217–233.
2020 | Journal Article | LibreCat-ID: 34841
The conductor density of local function fields with abelian Galois group
J. Klüners, R. Müller, Journal of Number Theory 212 (2020) 311–322.
LibreCat
| DOI
| arXiv
J. Klüners, R. Müller, Journal of Number Theory 212 (2020) 311–322.
2020 | Book Chapter | LibreCat-ID: 29413
Symmetry in optimal control: A multiobjective model predictive control approach
K. Flaßkamp, S. Ober-Blöbaum, S. Peitz, in: O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer International Publishing, Cham, 2020, pp. 209–237.
LibreCat
K. Flaßkamp, S. Ober-Blöbaum, S. Peitz, in: O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer International Publishing, Cham, 2020, pp. 209–237.
2020 | Book Chapter | LibreCat-ID: 17994
The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems
R. Gerlach, A. Ziessler, in: O. Junge, O. Schütze, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer International Publishing, Cham, 2020, pp. 66–85.
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R. Gerlach, A. Ziessler, in: O. Junge, O. Schütze, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer International Publishing, Cham, 2020, pp. 66–85.
2020 | Journal Article | LibreCat-ID: 16712
On the equivariance properties of self-adjoint matrices
M. Dellnitz, B. Gebken, R. Gerlach, S. Klus, Dynamical Systems 35 (2020) 197–215.
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M. Dellnitz, B. Gebken, R. Gerlach, S. Klus, Dynamical Systems 35 (2020) 197–215.
2020 | Journal Article | LibreCat-ID: 45954
Finite element error analysis of wave equations with dynamic boundary conditions: L2 estimates
D. Hipp, B. Kovács, IMA Journal of Numerical Analysis 41 (2020) 638–728.
LibreCat
| DOI
D. Hipp, B. Kovács, IMA Journal of Numerical Analysis 41 (2020) 638–728.
2020 | Journal Article | LibreCat-ID: 45953
Finite element error analysis of wave equations with dynamic boundary conditions: L2 estimates
D. Hipp, B. Kovács, IMA Journal of Numerical Analysis 41 (2020) 638–728.
LibreCat
| DOI
D. Hipp, B. Kovács, IMA Journal of Numerical Analysis 41 (2020) 638–728.
2020 | Journal Article | LibreCat-ID: 45955
Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation
G. Akrivis, M. Feischl, B. Kovács, C. Lubich, Mathematics of Computation 90 (2020) 995–1038.
LibreCat
| DOI
G. Akrivis, M. Feischl, B. Kovács, C. Lubich, Mathematics of Computation 90 (2020) 995–1038.
2020 | Journal Article | LibreCat-ID: 45952
A convergent algorithm for forced mean curvature flow driven by diffusion on the surface
B. Kovács, B. Li, C. Lubich, Interfaces and Free Boundaries 22 (2020) 443–464.
LibreCat
| DOI
B. Kovács, B. Li, C. Lubich, Interfaces and Free Boundaries 22 (2020) 443–464.
2019 | Journal Article | LibreCat-ID: 19945 |
Symplectic integration of PDEs using Clebsch variables
R.I. McLachlan, C. Offen, B.K. Tapley, Journal of Computational Dynamics 6 (2019) 111–130.
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R.I. McLachlan, C. Offen, B.K. Tapley, Journal of Computational Dynamics 6 (2019) 111–130.
2019 | Journal Article | LibreCat-ID: 21944
Coarse-graining molecular systems by spectral matching
F. Nüske, L. Boninsegna, C. Clementi, The Journal of Chemical Physics (2019).
LibreCat
| DOI
F. Nüske, L. Boninsegna, C. Clementi, The Journal of Chemical Physics (2019).
2019 | Journal Article | LibreCat-ID: 16709
Continuous relaxations for the traveling salesman problem
T. Sahai, A. Ziessler, S. Klus, M. Dellnitz, Nonlinear Dynamics (2019).
LibreCat
| DOI
T. Sahai, A. Ziessler, S. Klus, M. Dellnitz, Nonlinear Dynamics (2019).
2019 | Journal Article | LibreCat-ID: 10593
Koopman operator-based model reduction for switched-system control of PDEs
S. Peitz, S. Klus, Automatica 106 (2019) 184–191.
LibreCat
| DOI
S. Peitz, S. Klus, Automatica 106 (2019) 184–191.
2019 | Journal Article | LibreCat-ID: 10595
On the hierarchical structure of Pareto critical sets
B. Gebken, S. Peitz, M. Dellnitz, Journal of Global Optimization 73 (2019) 891–913.
LibreCat
| DOI
B. Gebken, S. Peitz, M. Dellnitz, Journal of Global Optimization 73 (2019) 891–913.
2019 | Conference Paper | LibreCat-ID: 10597
Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous Motor Application with Online Least Squares System Identification
S. Hanke, S. Peitz, O. Wallscheid, J. Böcker, M. Dellnitz, in: 2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE), 2019.
LibreCat
| DOI
S. Hanke, S. Peitz, O. Wallscheid, J. Böcker, M. Dellnitz, in: 2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE), 2019.
2019 | Preprint | LibreCat-ID: 16711 |
Revealing the intrinsic geometry of finite dimensional invariant sets of infinite dimensional dynamical systems
R. Gerlach, P. Koltai, M. Dellnitz, ArXiv:1902.08824 (2019).
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R. Gerlach, P. Koltai, M. Dellnitz, ArXiv:1902.08824 (2019).
2019 | Misc | LibreCat-ID: 8482
Arbitrary sensitivity for inverse problems in piezoelectricity
B. Jurgelucks, V. Schulze, N. Feldmann, L. Claes, Arbitrary Sensitivity for Inverse Problems in Piezoelectricity, GAMM Annual Meeting, Wien, 2019.
LibreCat
B. Jurgelucks, V. Schulze, N. Feldmann, L. Claes, Arbitrary Sensitivity for Inverse Problems in Piezoelectricity, GAMM Annual Meeting, Wien, 2019.
2019 | Preprint | LibreCat-ID: 42646
Computing quadratic subfields of number fields
A.-S. Elsenhans, J. Klüners, ArXiv:1907.13383 (2019).
LibreCat
| arXiv
A.-S. Elsenhans, J. Klüners, ArXiv:1907.13383 (2019).
2019 | Journal Article | LibreCat-ID: 34915
Determinant groups of Hermitian lattices over local fields
M. Kirschmer, Archiv Der Mathematik 113 (2019) 337–347.
LibreCat
| DOI
M. Kirschmer, Archiv Der Mathematik 113 (2019) 337–347.
2019 | Journal Article | LibreCat-ID: 21
A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices
D. Richters, M. Lass, A. Walther, C. Plessl, T. Kühne, Communications in Computational Physics 25 (2019) 564–585.
LibreCat
| DOI
| arXiv
D. Richters, M. Lass, A. Walther, C. Plessl, T. Kühne, Communications in Computational Physics 25 (2019) 564–585.
2019 | Conference Paper | LibreCat-ID: 29867
Towards velocity turnpikes in optimal control of mechanical systems
T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, K. Worthmann, in: IFAC-PapersOnLine (Ed.), 2019, pp. 490–495.
LibreCat
T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, K. Worthmann, in: IFAC-PapersOnLine (Ed.), 2019, pp. 490–495.
2019 | Journal Article | LibreCat-ID: 16708
The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques
A. Ziessler, M. Dellnitz, R. Gerlach, SIAM Journal on Applied Dynamical Systems 18 (2019) 1265–1292.
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A. Ziessler, M. Dellnitz, R. Gerlach, SIAM Journal on Applied Dynamical Systems 18 (2019) 1265–1292.
2019 | Journal Article | LibreCat-ID: 34917
Quaternary quadratic lattices over number fields
M. Kirschmer, G. Nebe, International Journal of Number Theory 15 (2019) 309–325.
LibreCat
| DOI
M. Kirschmer, G. Nebe, International Journal of Number Theory 15 (2019) 309–325.
2019 | Journal Article | LibreCat-ID: 34916
Automorphisms of even unimodular lattices over number fields
M. Kirschmer, Journal of Number Theory 197 (2019) 121–134.
LibreCat
| DOI
M. Kirschmer, Journal of Number Theory 197 (2019) 121–134.
2019 | Journal Article | LibreCat-ID: 45948
A convergent evolving finite element algorithm for mean curvature flow of closed surfaces
B. Kovács, B. Li, C. Lubich, Numerische Mathematik 143 (2019) 797–853.
LibreCat
| DOI
B. Kovács, B. Li, C. Lubich, Numerische Mathematik 143 (2019) 797–853.
2018 | Journal Article | LibreCat-ID: 19935
Bifurcation of solutions to Hamiltonian boundary value problems
R.I. McLachlan, C. Offen, Nonlinearity (2018) 2895–2927.
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| DOI
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R.I. McLachlan, C. Offen, Nonlinearity (2018) 2895–2927.
2018 | Journal Article | LibreCat-ID: 19937
Symplectic integration of boundary value problems
R.I. McLachlan, C. Offen, Numerical Algorithms (2018) 1219–1233.
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R.I. McLachlan, C. Offen, Numerical Algorithms (2018) 1219–1233.
2018 | Preprint | LibreCat-ID: 21634 |
Koopman Operator-Based Finite-Control-Set Model Predictive Control for Electrical Drives
S. Hanke, S. Peitz, O. Wallscheid, S. Klus, J. Böcker, M. Dellnitz, ArXiv:1804.00854 (2018).
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S. Hanke, S. Peitz, O. Wallscheid, S. Klus, J. Böcker, M. Dellnitz, ArXiv:1804.00854 (2018).