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92 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).
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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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 | 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: 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: 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: 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 | 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 | 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.
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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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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: 29430
Variational multirate integration in discrete mechanics and optimal control
T. Gail, S. Ober-Blöbaum, S. Leyendecker, in: ECCOMAS Thematic Conference on Multibody Dynamics, 2017.
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T. Gail, S. Ober-Blöbaum, S. Leyendecker, in: ECCOMAS Thematic Conference on Multibody Dynamics, 2017.
2016 | Conference Paper | LibreCat-ID: 29435
Variational integrators of mixed order for dynamical systems with multiple time scales and split potentials
T. Wenger, S. Ober-Blöbaum, S. Leyendecker, in: ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering, 2016, pp. 1818–1831.
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T. Wenger, S. Ober-Blöbaum, S. Leyendecker, in: ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering, 2016, pp. 1818–1831.
2016 | Conference Paper | LibreCat-ID: 29432
Constrained Galerkin variational integrators and modified constrained symplectic Runge-Kutta methods
T. Wenger, S. Ober-Blöbaum, S. Leyendecker, in: International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), 2016.
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T. Wenger, S. Ober-Blöbaum, S. Leyendecker, in: International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), 2016.
2016 | Conference Paper | LibreCat-ID: 29433
Reduced order model based multiobjective optimal control of fluids
S. Peitz, S. Ober-Blöbaum, M. Dellnitz, in: Proceedings of International Congress of Theoretical and Applied Mechanics, 2016.
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S. Peitz, S. Ober-Blöbaum, M. Dellnitz, in: Proceedings of International Congress of Theoretical and Applied Mechanics, 2016.
2016 | Conference Paper | LibreCat-ID: 29436
Optimal control of switching times in switched linear systems
B. Stellato, S. Ober-Blöbaum, P.J. Goulart, in: 2016 IEEE 55th Conference on Decision and Control (CDC), 2016, pp. 7228–7233.
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B. Stellato, S. Ober-Blöbaum, P.J. Goulart, in: 2016 IEEE 55th Conference on Decision and Control (CDC), 2016, pp. 7228–7233.
2015 | Journal Article | LibreCat-ID: 29402
Symmetry exploiting control of hybrid mechanical systems
K. Flaßkamp, S. Hage-Packhäuser, S. Ober-Blöbaum, Journal of Computational Dynamics 2(1) (2015) 25–50.
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K. Flaßkamp, S. Hage-Packhäuser, S. Ober-Blöbaum, Journal of Computational Dynamics 2(1) (2015) 25–50.
2015 | Journal Article | LibreCat-ID: 29403
High order variational integrators in the optimal control of mechanical systems
C.M. Campos, S. Ober-Blöbaum, E. Trélat, Discrete and Continuous Dynamical Systems 35(9) (2015) 4193–4223.
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C.M. Campos, S. Ober-Blöbaum, E. Trélat, Discrete and Continuous Dynamical Systems 35(9) (2015) 4193–4223.
2014 | Conference Paper | LibreCat-ID: 29440
Variational formulation and structure-preserving discretization of nonlinear electric circuits
S. Ober-Blöbaum, H. Lindhorst, in: 21st International Symposium on Mathematical Theory of Networks and Systems, 2014.
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S. Ober-Blöbaum, H. Lindhorst, in: 21st International Symposium on Mathematical Theory of Networks and Systems, 2014.
2014 | Conference Paper | LibreCat-ID: 29438
On the role of quadrature rules and system dimensions in variational multirate integrators
T. Gail, S. Leyendecker, S. Ober-Blöbaum, in: 3rd Joint Interntaional Conference on Multibody System Dynamics , 2014.
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T. Gail, S. Leyendecker, S. Ober-Blöbaum, in: 3rd Joint Interntaional Conference on Multibody System Dynamics , 2014.
2014 | Book Chapter | LibreCat-ID: 20085
Case Study
A. Trächtler, B. Kleinjohann, C. Heinzemann, C. Rasche, C. Priesterjahn, D. Steenken, H. Wehrheim, J. Gausemeier, K. Flaßkamp, L. Kleinjohann, M. Krüger, P. Iwanek, P. Hartmann, R. Dorociak, S. Groesbrink, S. Ziegert, T. Meyer, W. Sextro, W. Schäfer, in: J. Gausemeier, F. Josef Rammig, W. Schäfer, W. Sextro (Eds.), Dependability of Self-Optimizing Mechatronic Systems, Springer Berlin Heidelberg, 2014, pp. 173–188.
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A. Trächtler, B. Kleinjohann, C. Heinzemann, C. Rasche, C. Priesterjahn, D. Steenken, H. Wehrheim, J. Gausemeier, K. Flaßkamp, L. Kleinjohann, M. Krüger, P. Iwanek, P. Hartmann, R. Dorociak, S. Groesbrink, S. Ziegert, T. Meyer, W. Sextro, W. Schäfer, in: J. Gausemeier, F. Josef Rammig, W. Schäfer, W. Sextro (Eds.), Dependability of Self-Optimizing Mechatronic Systems, Springer Berlin Heidelberg, 2014, pp. 173–188.
2014 | Journal Article | LibreCat-ID: 29404
Construction and analysis of higher order Galerkin variational integrators
S. Ober-Blöbaum, N. Saake, Advances in Computational Mathematics (2014) 1–32.
LibreCat
S. Ober-Blöbaum, N. Saake, Advances in Computational Mathematics (2014) 1–32.
2014 | Book Chapter | LibreCat-ID: 20080
Methods for the Design and Development
H. Anacker, M. Dellnitz, K. Flaßkamp, S. Grocsbrink, P. Hartmann, C. Heinzemann, C. Horenkamp, B. Kleinjohann, S. Korf, M. Krüger, W. Müller, S. Ober-Blöbaum, S. Oberthür, M. Porrmann, C. Priesterjahn, R. Radkowski, C. Rasche, J. Rieke, M. Ringkamp, K. Stahl, D. Steenken, J. Stöcklein, R. Timmermann, A. Trächtler, K. Witting, T. Xie, S. Ziegert, in: Jürgen Gausemeier, Franz Josef Rammig, and Wilhelm Schäfer, Editors, Design Methodology for Intelligent Technical Systems, Springer Berlin Heidelberg, 2014, pp. 183–350.
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H. Anacker, M. Dellnitz, K. Flaßkamp, S. Grocsbrink, P. Hartmann, C. Heinzemann, C. Horenkamp, B. Kleinjohann, S. Korf, M. Krüger, W. Müller, S. Ober-Blöbaum, S. Oberthür, M. Porrmann, C. Priesterjahn, R. Radkowski, C. Rasche, J. Rieke, M. Ringkamp, K. Stahl, D. Steenken, J. Stöcklein, R. Timmermann, A. Trächtler, K. Witting, T. Xie, S. Ziegert, in: Jürgen Gausemeier, Franz Josef Rammig, and Wilhelm Schäfer, Editors, Design Methodology for Intelligent Technical Systems, Springer Berlin Heidelberg, 2014, pp. 183–350.
2014 | Book Chapter | LibreCat-ID: 29417
Dependability of Self-optimizing Mechatronic Systems
W. Dangelmeier, M. Dellnitz, R. Dorociak, K. Flaßkamp, J. Gausemeier, S. Groesbrink, P. Hartmann, C. Heinzemann, C. Hölscher, P. Iwanek, J.H. Keßler, B. Kleinjohann, L. Kleinjohann, S. Korf, M. Krüger, T. Meyer, W. Müller, S. Ober-Blöbaum, M. Porrmann, C. Priesterjahn, F.J. Rammig, C. Rasche, P. Reinold, W. Schäfer, A. Seifried, W. Sextro, C. Sondermann-Woelke, K. Stahl, D. Steenken, R. Timmermann, A. Trächtler, M. Vaßholz, H. Wehrheim, K. Witting, T. Xie, Y. Zhao, S. Ziegert, D. Zimmer, in: Lecture Notes in Mechanical Engineering, Springer, Heidelberg New York Dordrecht London, 2014.
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W. Dangelmeier, M. Dellnitz, R. Dorociak, K. Flaßkamp, J. Gausemeier, S. Groesbrink, P. Hartmann, C. Heinzemann, C. Hölscher, P. Iwanek, J.H. Keßler, B. Kleinjohann, L. Kleinjohann, S. Korf, M. Krüger, T. Meyer, W. Müller, S. Ober-Blöbaum, M. Porrmann, C. Priesterjahn, F.J. Rammig, C. Rasche, P. Reinold, W. Schäfer, A. Seifried, W. Sextro, C. Sondermann-Woelke, K. Stahl, D. Steenken, R. Timmermann, A. Trächtler, M. Vaßholz, H. Wehrheim, K. Witting, T. Xie, Y. Zhao, S. Ziegert, D. Zimmer, in: Lecture Notes in Mechanical Engineering, Springer, Heidelberg New York Dordrecht London, 2014.