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142 Publications
2024 | Journal Article | LibreCat-ID: 46469 | 
Learning of discrete models of variational PDEs from data
C. Offen, S. Ober-Blöbaum, Chaos 34 (2024).
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| arXiv
C. Offen, S. Ober-Blöbaum, Chaos 34 (2024).
2024 | Journal Article | LibreCat-ID: 53101 |
A new Lagrangian approach to control affine systems with a quadratic Lagrange term
S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, R.T.S.M. de Almagro, F.O. Szemenyei, Journal of Computational Dynamics 0 (2024) 0–0.
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S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, R.T.S.M. de Almagro, F.O. Szemenyei, Journal of Computational Dynamics 0 (2024) 0–0.
2024 | Preprint | LibreCat-ID: 53805 |
Machine learning of continuous and discrete variational ODEs with convergence guarantee and uncertainty quantification
C. Offen, (n.d.).
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| arXiv
C. Offen, (n.d.).
2023 | Conference Paper | LibreCat-ID: 42163 |
Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves
C. Offen, S. Ober-Blöbaum, in: F. Nielsen, F. Barbaresco (Eds.), Geometric Science of Information, Springer, Cham., 2023, pp. 569–579.
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| arXiv
C. Offen, S. Ober-Blöbaum, in: F. Nielsen, F. Barbaresco (Eds.), Geometric Science of Information, Springer, Cham., 2023, pp. 569–579.
2023 | Journal Article | LibreCat-ID: 29240 |
Variational Learning of Euler–Lagrange Dynamics from Data
S. Ober-Blöbaum, C. Offen, Journal of Computational and Applied Mathematics 421 (2023) 114780.
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| arXiv
S. Ober-Blöbaum, C. Offen, Journal of Computational and Applied Mathematics 421 (2023) 114780.
2023 | Journal Article | LibreCat-ID: 29236 |
Backward error analysis for conjugate symplectic methods
R. McLachlan, C. Offen, Journal of Geometric Mechanics 15 (2023) 98–115.
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| arXiv
R. McLachlan, C. Offen, Journal of Geometric Mechanics 15 (2023) 98–115.
2023 | Journal Article | LibreCat-ID: 37654 |
Hamiltonian Neural Networks with Automatic Symmetry Detection
E. Dierkes, C. Offen, S. Ober-Blöbaum, K. Flaßkamp, Chaos 33 (2023).
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| arXiv
E. Dierkes, C. Offen, S. Ober-Blöbaum, K. Flaßkamp, Chaos 33 (2023).
2023 | Journal Article | LibreCat-ID: 21600
Efficient time stepping for numerical integration using reinforcement learning
M. Dellnitz, E. Hüllermeier, M. Lücke, S. Ober-Blöbaum, C. Offen, S. Peitz, K. Pfannschmidt, SIAM Journal on Scientific Computing 45 (2023) A579–A595.
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M. Dellnitz, E. Hüllermeier, M. Lücke, S. Ober-Blöbaum, C. Offen, S. Peitz, K. Pfannschmidt, SIAM Journal on Scientific Computing 45 (2023) A579–A595.
2023 | Report | LibreCat-ID: 47147
Multirate Discrete Mechanics and Optimal Control for a Flexible Satelite Model
Y. Lishkova, S. Ober-Blöbaum, S. Leyendecker, Multirate Discrete Mechanics and Optimal Control for a Flexible Satelite Model , Invited Mathematical Magazine Article, 2023.
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Y. Lishkova, S. Ober-Blöbaum, S. Leyendecker, Multirate Discrete Mechanics and Optimal Control for a Flexible Satelite Model , Invited Mathematical Magazine Article, 2023.
2023 | Conference Paper | LibreCat-ID: 47148
Variational approach for modelling and optimal control of electrodynamic tether motion
Y. Lishkova, M. Bando, S. Ober-Blöbaum, in: Accepted for the 74th International Astronautical Concress (IAC), 2023.
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Y. Lishkova, M. Bando, S. Ober-Blöbaum, in: Accepted for the 74th International Astronautical Concress (IAC), 2023.
2023 | Conference Paper | LibreCat-ID: 34135 |
Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery
Y. Lishkova, P. Scherer, S. Ridderbusch, M. Jamnik, P. Liò, S. Ober-Blöbaum, C. Offen, in: IFAC-PapersOnLine, Elsevier, 2023, pp. 3203–3210.
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Y. Lishkova, P. Scherer, S. Ridderbusch, M. Jamnik, P. Liò, S. Ober-Blöbaum, C. Offen, in: IFAC-PapersOnLine, Elsevier, 2023, pp. 3203–3210.
2022 | Journal Article | LibreCat-ID: 30490
Continuous and discrete Noether's fractional conserved quantities for restricted calculus of variations
J. Cresson, F. Jiménez, S. Ober-Blöbaum, AIMS 14(1) (2022) 57–89.
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J. Cresson, F. Jiménez, S. Ober-Blöbaum, AIMS 14(1) (2022) 57–89.
2022 | Journal Article | LibreCat-ID: 30861
Turnpike Property in Optimal Microbial Metabolite Production
J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, J.-B. Pomet, Journal of Optimization Theory and Applications (2022).
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| DOI
J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, J.-B. Pomet, Journal of Optimization Theory and Applications (2022).
2022 | Journal Article | LibreCat-ID: 44624
Manifold turnpikes, trims, and symmetries
T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, M. Schaller, K. Worthmann, Mathematics of Control, Signals, and Systems 34 (2022) 759–788.
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T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, M. Schaller, K. Worthmann, Mathematics of Control, Signals, and Systems 34 (2022) 759–788.
2022 | Journal Article | LibreCat-ID: 19941 |
Backward error analysis for variational discretisations of partial differential equations
R.I. McLachlan, C. Offen, Journal of Geometric Mechanics 14 (2022) 447–471.
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| arXiv
R.I. McLachlan, C. Offen, Journal of Geometric Mechanics 14 (2022) 447–471.
2022 | Journal Article | LibreCat-ID: 23382 |
Symplectic integration of learned Hamiltonian systems
C. Offen, S. Ober-Blöbaum, Chaos: An Interdisciplinary Journal of Nonlinear Science 32(1) (2022).
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C. Offen, S. Ober-Blöbaum, Chaos: An Interdisciplinary Journal of Nonlinear Science 32(1) (2022).
2022 | Conference Paper | LibreCat-ID: 30733
Verification of safety critical control policies using kernel methods
N. Vertovec, S. Ober-Blöbaum, K. Margellos, in: 2022, pp. 1870–1875.
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N. Vertovec, S. Ober-Blöbaum, K. Margellos, in: 2022, pp. 1870–1875.
2021 | Conference Paper | LibreCat-ID: 29421
Superconvergence of galerkin variational integrators
S. Ober-Blöbaum, M. Vermeeren, in: IFAC-PapersOnLine (Ed.), 7th IIFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC, 2021, pp. 327–333.
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S. Ober-Blöbaum, M. Vermeeren, in: IFAC-PapersOnLine (Ed.), 7th IIFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC, 2021, pp. 327–333.
2021 | Journal Article | LibreCat-ID: 16294 |
Explicit multiobjective model predictive control for nonlinear systems with symmetries
S. Ober-Blöbaum, S. Peitz, International Journal of Robust and Nonlinear Control 31(2) (2021) 380–403.
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S. Ober-Blöbaum, S. Peitz, International Journal of Robust and Nonlinear Control 31(2) (2021) 380–403.
2021 | Journal Article | LibreCat-ID: 29543
Turnpike features in optimal selection of species represented by quota models
W. Djema, L. Giraldi, S. Maslovskaya, O. Bernard, Automatica 132 (2021).
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| DOI
W. Djema, L. Giraldi, S. Maslovskaya, O. Bernard, Automatica 132 (2021).
2021 | Conference Paper | LibreCat-ID: 47146
A multirate variational approach to Nonlinear MPC
Y. Lishkova, M. Cannon, S. Ober-Blöbaum, in: European Control Conference (ECC), IEEE, 2021.
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Y. Lishkova, M. Cannon, S. Ober-Blöbaum, in: European Control Conference (ECC), IEEE, 2021.
2021 | Conference Paper | LibreCat-ID: 22894 |
Bifurcation preserving discretisations of optimal control problems
C. Offen, S. Ober-Blöbaum, 54(19) (2021) 334–339.
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C. Offen, S. Ober-Blöbaum, 54(19) (2021) 334–339.
2021 | Conference Paper | LibreCat-ID: 21572
Learning ODE Models with Qualitative Structure Using Gaussian Processes
S. Ridderbusch, C. Offen, S. Ober-Blöbaum, P. Goulart, in: 2021 60th IEEE Conference on Decision and Control (CDC), IEEE, 2021, p. 2896.
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S. Ridderbusch, C. Offen, S. Ober-Blöbaum, P. Goulart, in: 2021 60th IEEE Conference on Decision and Control (CDC), IEEE, 2021, p. 2896.
2021 | Conference Paper | LibreCat-ID: 21592
Multi-objective minimum time optimal control for low-thrust trajectory design
N. Vertovec, S. Ober-Blöbaum, K. Margellos, in: n.d., pp. 1975–1980.
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| arXiv
N. Vertovec, S. Ober-Blöbaum, K. Margellos, in: n.d., pp. 1975–1980.
2021 | Conference Paper | LibreCat-ID: 29868
Fractional Damping Through Restricted Calculus of Variations
F. Jiménez, S. Ober-Blöbaum, in: Nichtlineare Sci 31, 2021.
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F. Jiménez, S. Ober-Blöbaum, in: Nichtlineare Sci 31, 2021.
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 | 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.
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| 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).
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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.
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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.
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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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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 | 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.
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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.
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: 19993
Symmetry and motion primitives in model predictive control
K. Flaßkamp, S. Ober-Blöbaum, K. Worthmann, MCSS 31 (2019) 455–485.
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K. Flaßkamp, S. Ober-Blöbaum, K. Worthmann, MCSS 31 (2019) 455–485.
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.
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T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, K. Worthmann, in: IFAC-PapersOnLine (Ed.), 2019, pp. 490–495.
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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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 | Journal Article | LibreCat-ID: 8753
Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling
S. Peitz, S. Ober-Blöbaum, M. Dellnitz, Acta Applicandae Mathematicae 161 (2018) 171–199.
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| DOI
S. Peitz, S. Ober-Blöbaum, M. Dellnitz, Acta Applicandae Mathematicae 161 (2018) 171–199.
2018 | Journal Article | LibreCat-ID: 20112
Improving optimal control of grid-connected lithium-ion batteries through more accurate battery and degradation modelling
J.M. Reniers, G. Mulder, S. Ober-Blöbaum, D.A. Howe, Journal of Power Sources 379 (2018) 91–102.
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| DOI
J.M. Reniers, G. Mulder, S. Ober-Blöbaum, D.A. Howe, Journal of Power Sources 379 (2018) 91–102.
2018 | Conference Paper | LibreCat-ID: 29425
Necessary optimality conditions for optimally controlled dissipative mechanical systems modelled through fractional derivatives
F. Jiménez, S. Ober-Blöbaum, in: 6th European Conference on Computational Mechanics, 2018.
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F. Jiménez, S. Ober-Blöbaum, in: 6th European Conference on Computational Mechanics, 2018.
2018 | Conference Paper | LibreCat-ID: 29427
A fractional variational approach for modelling dissipative mechanical systems continuous and discrete settings
F. Jiménez, S. Ober-Blöbaum, in: IFAC-PapersOnLine (Ed.), 6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018, 2018, pp. 50–55.
LibreCat
F. Jiménez, S. Ober-Blöbaum, in: IFAC-PapersOnLine (Ed.), 6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018, 2018, pp. 50–55.
2018 | Preprint | LibreCat-ID: 19940 |
Local intersections of Lagrangian manifolds correspond to catastrophe theory
C. Offen, ArXiv:1811.10165 (n.d.).
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| arXiv
C. Offen, ArXiv:1811.10165 (n.d.).
2018 | Journal Article | LibreCat-ID: 19943 |
Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci
R.I. McLachlan, C. Offen, New Zealand Journal of Mathematics 48 (2018) 83–99.
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R.I. McLachlan, C. Offen, New Zealand Journal of Mathematics 48 (2018) 83–99.
2017 | Conference Paper | LibreCat-ID: 5914
Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control
M. Dellnitz, J. Eckstein, K. Flaßkamp, P. Friedel, C. Horenkamp, U. Köhler, S. Ober-Blöbaum, S. Peitz, S. Tiemeyer, in: Progress in Industrial Mathematics at ECMI 2014 , Springer International Publishing, Cham, 2017, pp. 633–641.
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| DOI
M. Dellnitz, J. Eckstein, K. Flaßkamp, P. Friedel, C. Horenkamp, U. Köhler, S. Ober-Blöbaum, S. Peitz, S. Tiemeyer, in: Progress in Industrial Mathematics at ECMI 2014 , Springer International Publishing, Cham, 2017, pp. 633–641.
2017 | Journal Article | LibreCat-ID: 20061
C1-continuous space-time discretization based on Hamilton's law of varying action
J.C. Mergel, R.A. Sauer, S. Ober-Blöbaum, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik 97(4) (2017) 433–457.
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| DOI
J.C. Mergel, R.A. Sauer, S. Ober-Blöbaum, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik 97(4) (2017) 433–457.
2017 | Journal Article | LibreCat-ID: 20091
Construction and analysis of higher order variational integrators for dynamical systems with holonomic constraints
T. Wenger, S. Ober-Blöbaum, S. Leyendecker, Advances in Computational Mathematics 43(5) (2017) 1163–1195.
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| DOI
T. Wenger, S. Ober-Blöbaum, S. Leyendecker, Advances in Computational Mathematics 43(5) (2017) 1163–1195.