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228 Publications
2017 | Dissertation | LibreCat-ID: 10594 | 
@book{Peitz_2017, title={ Exploiting structure in multiobjective optimization and optimal control}, DOI={10.17619/UNIPB/1-176}, author={Peitz, Sebastian}, year={2017} }
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2009 | Journal Article | LibreCat-ID: 16499
@article{Biasco_Di Gregorio_2009, title={A Birkhoff–Lewis Type Theorem for the Nonlinear Wave Equation}, DOI={10.1007/s00205-009-0240-y}, journal={Archive for Rational Mechanics and Analysis}, author={Biasco, Luca and Di Gregorio, Laura}, year={2009}, pages={303–362} }
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| DOI
2016 | Conference Paper | LibreCat-ID: 8758
@inproceedings{Eckstein_Peitz_Schäfer_Friedel_Köhler_Hessel von Molo_Ober-Blöbaum_Dellnitz_2016, title={A comparison of two predictive approaches to control the longitudinal dynamics of electric vehicles}, volume={26}, DOI={10.1016/j.protcy.2016.08.059}, booktitle={Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering}, author={Eckstein, Julian and Peitz, Sebastian and Schäfer, Kai and Friedel, Patrick and Köhler, Ulrich and Hessel von Molo, Mirko and Ober-Blöbaum, Sina and Dellnitz, Michael}, year={2016}, pages={465–472} }
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| DOI
2000 | Book Chapter | LibreCat-ID: 16553
@inbook{Dellnitz_Froyland_Sertl_2000, title={A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator}, DOI={10.1142/9789812792617_0199}, booktitle={Equadiff 99}, author={Dellnitz, Michael and Froyland, Gary and Sertl, Stefan}, year={2000} }
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| DOI
2018 | Conference Paper | LibreCat-ID: 8750
@inproceedings{Gebken_Peitz_Dellnitz_2018, place={Cham}, title={A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems}, DOI={10.1007/978-3-319-96104-0_2}, booktitle={Numerical and Evolutionary Optimization – NEO 2017}, author={Gebken, Bennet and Peitz, Sebastian and Dellnitz, Michael}, year={2018} }
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| DOI
2024 | Preprint | LibreCat-ID: 51334 |
@article{Sonntag_Gebken_Müller_Peitz_Volkwein_2024, title={A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces}, journal={arXiv:2402.06376}, author={Sonntag, Konstantin and Gebken, Bennet and Müller, Georg and Peitz, Sebastian and Volkwein, Stefan}, year={2024} }
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| arXiv
2007 | Conference Paper | LibreCat-ID: 16666
@inproceedings{Schütze_Talbi_Pulido_Coello_Santana-Quintero_2007, title={A Memetic PSO Algorithm for Scalar Optimization Problems}, DOI={10.1109/sis.2007.368036}, booktitle={2007 IEEE Swarm Intelligence Symposium}, author={Schütze, Oliver and Talbi, El-ghazali and Pulido, Gregorio Toscano and Coello, Carlos Coello and Santana-Quintero, Luis Vicente}, year={2007} }
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| DOI
2009 | Journal Article | LibreCat-ID: 16574
@article{Dellnitz_Ober-Blöbaum_Post_Schütze_Thiere_2009, title={A multi-objective approach to the design of low thrust space trajectories using optimal control}, DOI={10.1007/s10569-009-9229-y}, journal={Celestial Mechanics and Dynamical Astronomy}, author={Dellnitz, Michael and Ober-Blöbaum, Sina and Post, Marcus and Schütze, Oliver and Thiere, Bianca}, year={2009}, pages={33–59} }
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| DOI
2017 | Journal Article | LibreCat-ID: 8756
@article{Peitz_Schäfer_Ober-Blöbaum_Eckstein_Köhler_Dellnitz_2017, title={A multiobjective MPC approach for autonomously driven electric vehicles}, volume={50}, DOI={10.1016/j.ifacol.2017.08.1526}, number={1}, journal={Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC)}, author={Peitz, Sebastian and Schäfer, Kai and Ober-Blöbaum, Sina and Eckstein, Julian and Köhler, Ulrich and Dellnitz, Michael}, year={2017}, pages={8674–8679} }
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| DOI
2017 | Journal Article | LibreCat-ID: 16657
@article{Peitz_Schäfer_Ober-Blöbaum_Eckstein_Köhler_Dellnitz_2017, title={A Multiobjective MPC Approach for Autonomously Driven Electric Vehicles * *This research was funded by the German Federal Ministry of Education and Research (BMBF) within the Leading-Edge Cluster Intelligent Technical Systems OstWestfalenLippe (it’s OWL).}, DOI={10.1016/j.ifacol.2017.08.1526}, journal={IFAC-PapersOnLine}, author={Peitz, Sebastian and Schäfer, Kai and Ober-Blöbaum, Sina and Eckstein, Julian and Köhler, Ulrich and Dellnitz, Michael}, year={2017}, pages={8674–8679} }
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| DOI
2013 | Conference Paper | LibreCat-ID: 16643
@inproceedings{Ober-Blöbaum_Seifried_2013, title={A multiobjective optimization approach for optimal control problems of mechanical systems with uncertainties}, DOI={10.23919/ecc.2013.6669594}, booktitle={2013 European Control Conference (ECC)}, author={Ober-Blöbaum, Sina and Seifried, Albert}, year={2013} }
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| DOI
2008 | Journal Article | LibreCat-ID: 16678
@article{Witting_Schulz_Dellnitz_Böcker_Fröhleke_2008, title={A new approach for online multiobjective optimization of mechatronic systems}, DOI={10.1007/s10009-008-0066-1}, journal={International Journal on Software Tools for Technology Transfer}, author={Witting, Katrin and Schulz, Bernd and Dellnitz, Michael and Böcker, Joachim and Fröhleke, Norbert}, year={2008}, pages={223–231} }
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| DOI
2003 | Book Chapter | LibreCat-ID: 16664
@inbook{Schütze_2003, place={Berlin, Heidelberg}, title={A New Data Structure for the Nondominance Problem in Multi-objective Optimization}, DOI={10.1007/3-540-36970-8_36}, booktitle={Lecture Notes in Computer Science}, author={Schütze, Oliver}, year={2003} }
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| DOI
2024 | Journal Article | LibreCat-ID: 51208
@article{Gebken_2024, title={A note on the convergence of deterministic gradient sampling in nonsmooth optimization}, DOI={10.1007/s10589-024-00552-0}, journal={Computational Optimization and Applications}, publisher={Springer Science and Business Media LLC}, author={Gebken, Bennet}, year={2024} }
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| DOI
1995 | Journal Article | LibreCat-ID: 16542
@article{Dellnitz_Melbourne_1995, title={A note on the shadowing lemma and symmetric periodic points}, DOI={10.1088/0951-7715/8/6/010}, journal={Nonlinearity}, author={Dellnitz, M and Melbourne, I}, year={1995}, pages={1067–1075} }
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| DOI
2023 | Preprint | LibreCat-ID: 45498
@article{von der Gracht_Nijholt_Rink, title={A parametrisation method for high-order phase reduction in coupled oscillator networks}, journal={arXiv:2306.03320}, author={von der Gracht, Sören and Nijholt, Eddie and Rink, Bob} }
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| arXiv
2004 | Journal Article | LibreCat-ID: 16527
@article{Day_Junge_Mischaikow_2004, title={A Rigorous Numerical Method for the Global Analysis of Infinite-Dimensional Discrete Dynamical Systems}, DOI={10.1137/030600210}, journal={SIAM Journal on Applied Dynamical Systems}, author={Day, S. and Junge, O. and Mischaikow, K.}, year={2004}, pages={117–160} }
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2004 | Journal Article | LibreCat-ID: 16619
@article{Junge_Osinga_2004, title={A set oriented approach to global optimal control}, DOI={10.1051/cocv:2004006}, journal={ESAIM: Control, Optimisation and Calculus of Variations}, author={Junge, Oliver and Osinga, Hinke M.}, year={2004}, pages={259–270} }
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| DOI
2005 | Journal Article | LibreCat-ID: 16613
@article{Grüne_Junge_2005, title={A set oriented approach to optimal feedback stabilization}, DOI={10.1016/j.sysconle.2004.08.005}, journal={Systems & Control Letters}, author={Grüne, Lars and Junge, Oliver}, year={2005}, pages={169–180} }
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| DOI
2017 | Journal Article | LibreCat-ID: 16581
@article{Dellnitz_Klus_Ziessler_2017, title={A Set-Oriented Numerical Approach for Dynamical Systems with Parameter Uncertainty}, DOI={10.1137/16m1072735}, journal={SIAM Journal on Applied Dynamical Systems}, author={Dellnitz, Michael and Klus, Stefan and Ziessler, Adrian}, year={2017}, pages={120–138} }
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| DOI
2020 | Journal Article | LibreCat-ID: 16710 |
@article{Gerlach_Ziessler_Eckhardt_Dellnitz_2020, title={A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors}, DOI={10.1137/19m1247139}, journal={SIAM Journal on Applied Dynamical Systems}, author={Gerlach, Raphael and Ziessler, Adrian and Eckhardt, Bruno and Dellnitz, Michael}, year={2020}, pages={705–723} }
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1997 | Journal Article | LibreCat-ID: 17015
@article{Dellnitz_Hohmann_1997, title={A subdivision algorithm for the computation of unstable manifolds and global attractors}, volume={75}, DOI={10.1007/s002110050240}, journal={Numerische Mathematik}, author={Dellnitz, Michael and Hohmann, Andreas}, year={1997}, pages={293–317} }
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| DOI
2005 | Journal Article | LibreCat-ID: 16627
@article{Krauskopf_Osinga_Doedel_Henderson_Guckenheimer_Vladimirsky_Dellnitz_Junge_2005, title={A Survey of Methods for Computing (un)stable Manifolds of Vector Fields}, DOI={10.1142/s0218127405012533}, journal={International Journal of Bifurcation and Chaos}, author={Krauskopf, B. and Osinga, H. M. and Doedel, E. J. and Henderson, M. E. and Guckenheimer, J. and Vladimirsky, A. and Dellnitz, M. and Junge, O.}, year={2005}, pages={763–791} }
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| DOI
2018 | Journal Article | LibreCat-ID: 8751 |
@article{Peitz_Dellnitz_2018, title={A Survey of Recent Trends in Multiobjective Optimal Control—Surrogate Models, Feedback Control and Objective Reduction}, volume={23}, DOI={10.3390/mca23020030}, number={2}, journal={Mathematical and Computational Applications}, author={Peitz, Sebastian and Dellnitz, Michael}, year={2018} }
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2013 | Journal Article | LibreCat-ID: 16677
@article{Witting_Ober-Blöbaum_Dellnitz_2013, title={A variational approach to define robustness for parametric multiobjective optimization problems}, DOI={10.1007/s10898-012-9972-6}, journal={Journal of Global Optimization}, author={Witting, Katrin and Ober-Blöbaum, Sina and Dellnitz, Michael}, year={2013}, pages={331–345} }
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| DOI
2013 | Journal Article | LibreCat-ID: 21935
@article{Noé_Nüske_2013, title={A Variational Approach to Modeling Slow Processes in Stochastic Dynamical Systems}, DOI={10.1137/110858616}, journal={Multiscale Modeling & Simulation}, author={Noé, Frank and Nüske, Feliks}, year={2013}, pages={635–655} }
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1995 | Journal Article | LibreCat-ID: 16532
@article{Dellnitz_Heinrich_1995, title={Admissible symmetry increasing bifurcations}, DOI={10.1088/0951-7715/8/6/009}, journal={Nonlinearity}, author={Dellnitz, M and Heinrich, C}, year={1995}, pages={1039–1066} }
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| DOI
2018 | Journal Article | LibreCat-ID: 16714
@article{Vieluf_Mora_Gölz_Reuter_Godde_Dellnitz_Reinsberger_Voelcker-Rehage_2018, title={Age- and Expertise-Related Differences of Sensorimotor Network Dynamics during Force Control}, DOI={10.1016/j.neuroscience.2018.07.025}, journal={Neuroscience}, author={Vieluf, Solveig and Mora, Karin and Gölz, Christian and Reuter, Eva-Maria and Godde, Ben and Dellnitz, Michael and Reinsberger, Claus and Voelcker-Rehage, Claudia}, year={2018}, pages={203–213} }
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| DOI
1997 | Journal Article | LibreCat-ID: 16535
@article{Dellnitz_Junge_1997, title={Almost Invariant Sets in Chua’s Circuit}, DOI={10.1142/s0218127497001655}, journal={International Journal of Bifurcation and Chaos}, author={Dellnitz, Michael and Junge, Oliver}, year={1997}, pages={2475–2485} }
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| DOI
1997 | Journal Article | LibreCat-ID: 16614
@article{Guder_Dellnitz_Kreuzer_1997, title={An adaptive method for the approximation of the generalized cell mapping}, DOI={10.1016/s0960-0779(96)00118-x}, journal={Chaos, Solitons & Fractals}, author={Guder, Rabbijah and Dellnitz, Michael and Kreuzer, Edwin}, year={1997}, pages={525–534} }
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1998 | Journal Article | LibreCat-ID: 16536
@article{Dellnitz_Junge_1998, title={An adaptive subdivision technique for the approximation of attractors and invariant measures}, DOI={10.1007/s007910050006}, journal={Computing and Visualization in Science}, author={Dellnitz, Michael and Junge, Oliver}, year={1998}, pages={63–68} }
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2001 | Journal Article | LibreCat-ID: 16617
@article{Junge_2001, title={An adaptive subdivision technique for the approximation of attractors and invariant measures: proof of convergence}, DOI={10.1080/14689360109696233}, journal={Dynamical Systems}, author={Junge, Oliver}, year={2001}, pages={213–222} }
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2011 | Journal Article | LibreCat-ID: 16624
@article{Klus_Sahai_Liu_Dellnitz_2011, title={An efficient algorithm for the parallel solution of high-dimensional differential equations}, DOI={10.1016/j.cam.2010.12.026}, journal={Journal of Computational and Applied Mathematics}, author={Klus, Stefan and Sahai, Tuhin and Liu, Cong and Dellnitz, Michael}, year={2011}, pages={3053–3062} }
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2021 | Journal Article | LibreCat-ID: 16867 |
@article{Gebken_Peitz_2021, title={An efficient descent method for locally Lipschitz multiobjective optimization problems}, volume={188}, DOI={10.1007/s10957-020-01803-w}, journal={Journal of Optimization Theory and Applications}, author={Gebken, Bennet and Peitz, Sebastian}, year={2021}, pages={696–723} }
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2013 | Conference Paper | LibreCat-ID: 17048
@inproceedings{Timmermann_Dellnitz_2013, title={Analysis of team and player performance using recorded trajectory data}, booktitle={Performance Analysis of Sport IX, Part 8, Routledge}, author={Timmermann, Robert and Dellnitz, Michael}, year={2013} }
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2018 | Preprint | LibreCat-ID: 16293 |
@article{Klus_Peitz_Schuster_2018, title={Analyzing high-dimensional time-series data using kernel transfer operator eigenfunctions}, journal={arXiv:1805.10118}, author={Klus, Stefan and Peitz, Sebastian and Schuster, Ingmar}, year={2018} }
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2007 | Book Chapter | LibreCat-ID: 16658
@inbook{Preis_Monien_Schamberger_2007, title={Approximation Algorithms for Multilevel Graph Partitioning}, DOI={10.1201/9781420010749.ch60}, booktitle={Handbook of Approximation Algorithms and Metaheuristics}, author={Preis, Robert and Monien, Burkhard and Schamberger, Stefan}, year={2007} }
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| DOI
2013 | Journal Article | LibreCat-ID: 16583
@article{Demoures_Gay-Balmaz_Leitz_Leyendecker_Ober-Blöbaum_Ratiu_2013, title={Asynchronous variational Lie group integration for geometrically exact beam dynamics}, DOI={10.1002/pamm.201310018}, journal={PAMM}, author={Demoures, Francois and Gay-Balmaz, Francois and Leitz, Thomas and Leyendecker, Sigrid and Ober-Blöbaum, Sina and Ratiu, Tudor S.}, year={2013}, pages={45–46} }
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2019 | Journal Article | LibreCat-ID: 21944
@article{Nüske_Boninsegna_Clementi_2019, title={Coarse-graining molecular systems by spectral matching}, DOI={10.1063/1.5100131}, number={044116}, journal={The Journal of Chemical Physics}, author={Nüske, Feliks and Boninsegna, Lorenzo and Clementi, Cecilia}, year={2019} }
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1994 | Journal Article | LibreCat-ID: 17014
@article{Dellnitz_1994, title={Collisions of chaotic attractors}, journal={Schlaglichter der Forschung: Zum 75. Jahrestag der Universität Hamburg}, author={Dellnitz, Michael}, year={1994}, pages={411–428} }
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2022 | Dissertation | LibreCat-ID: 31556 |
@book{Gebken_2022, title={Computation and analysis of Pareto critical sets in smooth and nonsmooth multiobjective optimization}, DOI={10.17619/UNIPB/1-1327}, author={Gebken, Bennet}, year={2022} }
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1999 | Book Chapter | LibreCat-ID: 16584
@inbook{Deuflhard_Dellnitz_Junge_Schütte_1999, place={Berlin, Heidelberg}, title={Computation of Essential Molecular Dynamics by Subdivision Techniques}, DOI={10.1007/978-3-642-58360-5_5}, booktitle={Computational Molecular Dynamics: Challenges, Methods, Ideas}, author={Deuflhard, Peter and Dellnitz, Michael and Junge, Oliver and Schütte, Christof}, year={1999} }
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2009 | Journal Article | LibreCat-ID: 16545
@article{Dellnitz_Witting_2009, title={Computation of robust Pareto points}, DOI={10.1504/ijcsm.2009.027876}, number={243}, journal={International Journal of Computing Science and Mathematics}, author={Dellnitz, M. and Witting, K.}, year={2009} }
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2003 | Journal Article | LibreCat-ID: 16498
@article{Aston_Dellnitz_2003, title={Computation of the dominant Lyapunov exponent via spatial integration using matrix norms}, DOI={10.1098/rspa.2003.1143}, journal={Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences}, author={Aston, P. J. and Dellnitz, M.}, year={2003}, pages={2933–2955} }
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1992 | Journal Article | LibreCat-ID: 17012
@article{Dellnitz_1992, title={Computational bifurcation of periodic solutions in systems with symmetry}, volume={12}, DOI={10.1093/imanum/12.3.429}, number={3}, journal={IMA Journal of Numerical Analysis}, author={Dellnitz, Michael}, year={1992}, pages={429–455} }
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1989 | Journal Article | LibreCat-ID: 16682
@article{Dellnitz_Werner_1989, title={Computational methods for bifurcation problems with symmetries—with special attention to steady state and Hopf bifurcation points}, DOI={10.1016/0377-0427(89)90150-7}, journal={Journal of Computational and Applied Mathematics}, author={Dellnitz, Michael and Werner, Bodo}, year={1989}, pages={97–123} }
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2013 | Journal Article | LibreCat-ID: 16608
@article{Gail_Leyendecker_Ober-Blöbaum_2013, title={Computing time investigations for variational multirate integration}, DOI={10.1002/pamm.201310017}, journal={PAMM}, author={Gail, Tobias and Leyendecker, Sigrid and Ober-Blöbaum, Sina}, year={2013}, pages={43–44} }
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| DOI
2003 | Book Chapter | LibreCat-ID: 16543
@inbook{Dellnitz_Preis_2003, place={Berlin, Heidelberg}, title={Congestion and Almost Invariant Sets in Dynamical Systems}, DOI={10.1007/3-540-45084-x_8}, booktitle={Lecture Notes in Computer Science}, author={Dellnitz, Michael and Preis, Robert}, year={2003} }
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| DOI
2010 | Book Chapter | LibreCat-ID: 16575
@inbook{Dellnitz_Padberg_Preis_Thiere_2010, place={Dordrecht}, title={Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem}, DOI={10.1007/978-90-481-9884-9_12}, booktitle={Nonlinear Science and Complexity}, author={Dellnitz, Michael and Padberg, Kathrin and Preis, Robert and Thiere, Bianca}, year={2010} }
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2019 | Journal Article | LibreCat-ID: 16709
@article{Sahai_Ziessler_Klus_Dellnitz_2019, title={Continuous relaxations for the traveling salesman problem}, DOI={10.1007/s11071-019-05092-5}, journal={Nonlinear Dynamics}, author={Sahai, Tuhin and Ziessler, Adrian and Klus, Stefan and Dellnitz, Michael}, year={2019} }
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2014 | Journal Article | LibreCat-ID: 16597
@article{Flaßkamp_Timmermann_Ober-Blöbaum_Trächtler_2014, title={Control strategies on stable manifolds for energy-efficient swing-ups of double pendula}, DOI={10.1080/00207179.2014.893450}, journal={International Journal of Control}, author={Flaßkamp, Kathrin and Timmermann, Julia and Ober-Blöbaum, Sina and Trächtler, Ansgar}, year={2014}, pages={1886–1905} }
LibreCat
| DOI
2018 | Preprint | LibreCat-ID: 16292 |
@article{Peitz_2018, title={Controlling nonlinear PDEs using low-dimensional bilinear approximations obtained from data}, journal={arXiv:1801.06419}, author={Peitz, Sebastian}, year={2018} }
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2008 | Journal Article | LibreCat-ID: 16668
@article{Schütze_Laumanns_Coello Coello_Dellnitz_Talbi_2008, title={Convergence of stochastic search algorithms to finite size pareto set approximations}, DOI={10.1007/s10898-007-9265-7}, journal={Journal of Global Optimization}, author={Schütze, Oliver and Laumanns, Marco and Coello Coello, Carlos A. and Dellnitz, Michael and Talbi, El-Ghazali}, year={2008}, pages={559–577} }
LibreCat
| DOI
2003 | Book Chapter | LibreCat-ID: 16665
@inbook{Schütze_Mostaghim_Dellnitz_Teich_2003, place={Berlin, Heidelberg}, title={Covering Pareto Sets by Multilevel Evolutionary Subdivision Techniques}, DOI={10.1007/3-540-36970-8_9}, booktitle={Lecture Notes in Computer Science}, author={Schütze, Oliver and Mostaghim, Sanaz and Dellnitz, Michael and Teich, Jürgen}, year={2003} }
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2005 | Journal Article | LibreCat-ID: 16684
@article{Dellnitz_Sch�tze_Hestermeyer_2005, title={Covering Pareto Sets by Multilevel Subdivision Techniques}, DOI={10.1007/s10957-004-6468-7}, journal={Journal of Optimization Theory and Applications}, author={Dellnitz, M. and Sch�tze, O. and Hestermeyer, T.}, year={2005}, pages={113–136} }
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1995 | Journal Article | LibreCat-ID: 16550
@article{Dellnitz_Field_Golubitsky_Ma_Hohmann_1995, title={Cycling Chaos}, DOI={10.1142/s0218127495000909}, journal={International Journal of Bifurcation and Chaos}, author={Dellnitz, Michael and Field, Michael and Golubitsky, Martin and Ma, Jun and Hohmann, Andreas}, year={1995}, pages={1243–1247} }
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2020 | Journal Article | LibreCat-ID: 16288
@article{Klus_Nüske_Peitz_Niemann_Clementi_Schütte_2020, title={Data-driven approximation of the Koopman generator: Model reduction, system identification, and control}, volume={406}, DOI={10.1016/j.physd.2020.132416}, number={132416}, journal={Physica D: Nonlinear Phenomena}, author={Klus, Stefan and Nüske, Feliks and Peitz, Sebastian and Niemann, Jan-Hendrik and Clementi, Cecilia and Schütte, Christof}, year={2020} }
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| DOI
2020 | Journal Article | LibreCat-ID: 16309
@article{Peitz_Otto_Rowley_2020, title={Data-Driven Model Predictive Control using Interpolated Koopman Generators}, volume={19}, DOI={10.1137/20M1325678}, number={3}, journal={SIAM Journal on Applied Dynamical Systems}, author={Peitz, Sebastian and Otto, Samuel E. and Rowley, Clarence W.}, year={2020}, pages={2162–2193} }
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2018 | Journal Article | LibreCat-ID: 21941
@article{Klus_Nüske_Koltai_Wu_Kevrekidis_Schütte_Noé_2018, title={Data-Driven Model Reduction and Transfer Operator Approximation}, DOI={10.1007/s00332-017-9437-7}, journal={Journal of Nonlinear Science}, author={Klus, Stefan and Nüske, Feliks and Koltai, Péter and Wu, Hao and Kevrekidis, Ioannis and Schütte, Christof and Noé, Frank}, year={2018}, pages={985–1010} }
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| DOI
2020 | Journal Article | LibreCat-ID: 16290 |
@article{Bieker_Peitz_Brunton_Kutz_Dellnitz_2020, title={Deep model predictive flow control with limited sensor data and online learning}, volume={34}, DOI={10.1007/s00162-020-00520-4}, journal={Theoretical and Computational Fluid Dynamics}, author={Bieker, Katharina and Peitz, Sebastian and Brunton, Steven L. and Kutz, J. Nathan and Dellnitz, Michael}, year={2020}, pages={577–591} }
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2021 | Journal Article | LibreCat-ID: 21337 |
@article{Berkemeier_Peitz_2021, title={Derivative-Free Multiobjective Trust Region Descent Method Using Radial Basis Function Surrogate Models}, volume={26}, DOI={10.3390/mca26020031}, number={231}, journal={Mathematical and Computational Applications}, author={Berkemeier, Manuel Bastian and Peitz, Sebastian}, year={2021} }
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2005 | Conference Paper | LibreCat-ID: 16631
@inproceedings{Li_Pottharst_Frohieke_Becker_Witting_Dellnitz_Znamenshchykov_Feldmann_2005, title={Design and implementation of a hybrid energy supply system for railway vehicles}, DOI={10.1109/apec.2005.1452979}, booktitle={Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. APEC 2005.}, author={Li, R. and Pottharst, A. and Frohieke, N. and Becker, J. and Witting, K. and Dellnitz, M. and Znamenshchykov, O. and Feldmann, R.}, year={2005} }
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| DOI
2009 | Journal Article | LibreCat-ID: 16669
@article{Schütze_Vasile_Junge_Dellnitz_Izzo_2009, title={Designing optimal low-thrust gravity-assist trajectories using space pruning and a multi-objective approach}, DOI={10.1080/03052150802391734}, journal={Engineering Optimization}, author={Schütze, Oliver and Vasile, Massimiliano and Junge, Oliver and Dellnitz, Michael and Izzo, Dario}, year={2009}, pages={155–181} }
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| DOI
2003 | Journal Article | LibreCat-ID: 16600
@article{Froyland_Dellnitz_2003, title={Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles}, DOI={10.1137/s106482750238911x}, journal={SIAM Journal on Scientific Computing}, author={Froyland, Gary and Dellnitz, Michael}, year={2003}, pages={1839–1863} }
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| DOI
2010 | Conference Paper | LibreCat-ID: 16675
@inproceedings{Thiere_Ober-Blöbaum_Pergola_2010, title={Detecting Initial Guesses for Trajectories in the (P)CRTBP}, DOI={10.2514/6.2010-7962}, booktitle={AIAA/AAS Astrodynamics Specialist Conference}, author={Thiere, Bianca and Ober-Blöbaum, Sina and Pergola, Pierpaolo}, year={2010} }
LibreCat
| DOI
1993 | Journal Article | LibreCat-ID: 16518
@article{Barany_Dellnitz_Golubitsky_1993, title={Detecting the symmetry of attractors}, DOI={10.1016/0167-2789(93)90198-a}, journal={Physica D: Nonlinear Phenomena}, author={Barany, Ernest and Dellnitz, Michael and Golubitsky, Martin}, year={1993}, pages={66–87} }
LibreCat
| DOI
2007 | Journal Article | LibreCat-ID: 16602
@article{Froyland_Padberg_England_Treguier_2007, title={Detection of Coherent Oceanic Structures via Transfer Operators}, DOI={10.1103/physrevlett.98.224503}, journal={Physical Review Letters}, author={Froyland, Gary and Padberg, Kathrin and England, Matthew H. and Treguier, Anne Marie}, year={2007} }
LibreCat
| DOI
2002 | Journal Article | LibreCat-ID: 16586
@article{Elsässer_Monien_Preis_2002, title={Diffusion Schemes for Load Balancing on Heterogeneous Networks}, DOI={10.1007/s00224-002-1056-4}, journal={Theory of Computing Systems}, author={Elsässer, Robert and Monien, Burkhard and Preis, Robert}, year={2002}, pages={305–320} }
LibreCat
| DOI
2012 | Journal Article | LibreCat-ID: 16635
@article{Meyer_2012, title={Discontinuity Induced Bifurcations in Timed Continuous Petri Nets}, DOI={10.3182/20121003-3-mx-4033.00008}, journal={IFAC Proceedings Volumes}, author={Meyer, A.}, year={2012}, pages={28–33} }
LibreCat
| DOI
2007 | Conference Paper | LibreCat-ID: 16630
@inproceedings{Leyendecker_Ober-Blöbaum_Marsden_Ortiz_2007, title={Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics}, DOI={10.1115/detc2007-34574}, booktitle={Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C}, author={Leyendecker, Sigrid and Ober-Blöbaum, Sina and Marsden, Jerrold E. and Ortiz, Michael}, year={2007} }
LibreCat
| DOI
2015 | Journal Article | LibreCat-ID: 16582
@article{Demoures_Gay-Balmaz_Leyendecker_Ober-Blöbaum_Ratiu_Weinand_2015, title={Discrete variational Lie group formulation of geometrically exact beam dynamics}, DOI={10.1007/s00211-014-0659-4}, journal={Numerische Mathematik}, author={Demoures, F. and Gay-Balmaz, F. and Leyendecker, S. and Ober-Blöbaum, S. and Ratiu, T. S. and Weinand, Y.}, year={2015}, pages={73–123} }
LibreCat
| DOI
2013 | Conference Paper | LibreCat-ID: 16672
@inproceedings{Specht_Ober-Blobaum_Wallscheid_Romaus_Bocker_2013, title={Discrete-time model of an IPMSM based on variational integrators}, DOI={10.1109/iemdc.2013.6556322}, booktitle={2013 International Electric Machines & Drives Conference}, author={Specht, Andreas and Ober-Blobaum, Sina and Wallscheid, Oliver and Romaus, Christoph and Bocker, Joachim}, year={2013} }
LibreCat
| DOI
2013 | Conference Paper | LibreCat-ID: 16594
@inproceedings{Flasskamp_Murphey_Ober-Blobaum_2013, title={Discretized switching time optimization problems}, DOI={10.23919/ecc.2013.6669577}, booktitle={2013 European Control Conference (ECC)}, author={Flasskamp, Kathrin and Murphey, Todd and Ober-Blobaum, Sina}, year={2013} }
LibreCat
| DOI
2008 | Conference Paper | LibreCat-ID: 16623
@inproceedings{Klöpper_Podlogar_Gausemeier_Witting_2008, title={Domain Spanning Search for the Identification of Solution Patterns for the Conceptual Design of Self-Optimizing Systems}, DOI={10.1109/dexa.2008.111}, booktitle={2008 19th International Conference on Database and Expert Systems Applications}, author={Klöpper, Benjamin and Podlogar, Herbert and Gausemeier, Jürgen and Witting, Katrin}, year={2008} }
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 21600
@article{Dellnitz_Hüllermeier_Lücke_Ober-Blöbaum_Offen_Peitz_Pfannschmidt_2023, title={Efficient time stepping for numerical integration using reinforcement learning}, volume={45}, DOI={10.1137/21M1412682}, number={2}, journal={SIAM Journal on Scientific Computing}, author={Dellnitz, Michael and Hüllermeier, Eyke and Lücke, Marvin and Ober-Blöbaum, Sina and Offen, Christian and Peitz, Sebastian and Pfannschmidt, Karlson}, year={2023}, pages={A579–A595} }
LibreCat
| Files available
| DOI
| Download (ext.)
| arXiv
2022 | Book Chapter | LibreCat-ID: 30294
@inbook{Peitz_Dellnitz_Bannenberg_2022, place={Cham}, series={Mathematics in Industry}, title={Efficient Virtual Design and Testing of Autonomous Vehicles}, volume={35}, DOI={10.1007/978-3-030-81455-7_23}, booktitle={German Success Stories in Industrial Mathematics}, publisher={Springer International Publishing}, author={Peitz, Sebastian and Dellnitz, Michael and Bannenberg, Sebastian}, editor={Bock, H. G. and Küfer, K.-H. and Maas, P. and Milde, A. and Schulz, V.}, year={2022}, collection={Mathematics in Industry} }
LibreCat
| DOI
1994 | Book Chapter | LibreCat-ID: 16544
@inbook{Dellnitz_Scheurle_1994, place={Dordrecht}, title={Eigenvalue Movement for a Class of Reversible Hamiltonian Systems with Three Degrees of Freedom}, DOI={10.1007/978-94-011-0956-7_9}, booktitle={Dynamics, Bifurcation and Symmetry}, author={Dellnitz, Michael and Scheurle, Jürgen}, year={1994} }
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 21195
@article{Goelz_Mora_Stroehlein_Haase_Dellnitz_Reinsberger_Vieluf_2021, title={Electrophysiological signatures of dedifferentiation differ between fit and less fit older adults}, DOI={10.1007/s11571-020-09656-9}, journal={Cognitive Neurodynamics}, author={Goelz, Christian and Mora, Karin and Stroehlein, Julia Kristin and Haase, Franziska Katharina and Dellnitz, Michael and Reinsberger, Claus and Vieluf, Solveig}, year={2021} }
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2012 | Conference Paper | LibreCat-ID: 16589
@inproceedings{Flaskamp_Ober-Blobaum_2012, title={Energy efficient control for mechanical systems based on inherent dynamical structures}, DOI={10.1109/acc.2012.6314820}, booktitle={2012 American Control Conference (ACC)}, author={Flaskamp, K. and Ober-Blobaum, S.}, year={2012} }
LibreCat
| DOI
2006 | Conference Paper | LibreCat-ID: 16626
@inproceedings{Knoke_Romaus_Bocker_Dell’Aere_Witting_2006, title={Energy Management for an Onboard Storage System Based on Multi-Objective Optimization}, DOI={10.1109/iecon.2006.347705}, booktitle={IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics}, author={Knoke, Tobias and Romaus, Christoph and Bocker, Joachim and Dell’Aere, Alessandro and Witting, Katrin}, year={2006} }
LibreCat
| DOI
2009 | Conference Paper | LibreCat-ID: 16663
@inproceedings{Schneider_Schulz_Henke_Witting_Steenken_Bocker_2009, title={Energy transfer via linear doubly-fed motor in different operating modes}, DOI={10.1109/iemdc.2009.5075267}, booktitle={2009 IEEE International Electric Machines and Drives Conference}, author={Schneider, T. and Schulz, B. and Henke, C. and Witting, K. and Steenken, D. and Bocker, J.}, year={2009} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 16297
@article{Hernández Castellanos_Ober-Blöbaum_Peitz_2020, title={Explicit Multi-objective Model Predictive Control for Nonlinear Systems Under Uncertainty}, volume={30(17)}, DOI={10.1002/rnc.5197}, journal={International Journal of Robust and Nonlinear Control}, author={Hernández Castellanos, Carlos Ignacio and Ober-Blöbaum, Sina and Peitz, Sebastian}, year={2020}, pages={7593–7618} }
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 16294 |
@article{Ober-Blöbaum_Peitz_2021, title={Explicit multiobjective model predictive control for nonlinear systems with symmetries}, volume={31(2)}, DOI={10.1002/rnc.5281}, journal={International Journal of Robust and Nonlinear Control}, author={Ober-Blöbaum, Sina and Peitz, Sebastian}, year={2021}, pages={380–403} }
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1997 | Journal Article | LibreCat-ID: 16552
@article{Dellnitz_Hohmann_Junge_Rumpf_1997, title={Exploring invariant sets and invariant measures}, DOI={10.1063/1.166223}, journal={Chaos: An Interdisciplinary Journal of Nonlinear Science}, author={Dellnitz, Michael and Hohmann, Andreas and Junge, Oliver and Rumpf, Martin}, year={1997}, pages={221–228} }
LibreCat
| DOI
2001 | Book Chapter | LibreCat-ID: 16598
@inbook{Froyland_2001, place={Boston, MA}, title={Extracting Dynamical Behavior via Markov Models}, DOI={10.1007/978-1-4612-0177-9_12}, booktitle={Nonlinear Dynamics and Statistics}, author={Froyland, Gary}, year={2001} }
LibreCat
| DOI
2023 | Preprint | LibreCat-ID: 32447 |
@article{Sonntag_Peitz_2023, title={Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping}, journal={arXiv:2307.00975}, author={Sonntag, Konstantin and Peitz, Sebastian}, year={2023} }
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| arXiv
2024 | Journal Article | LibreCat-ID: 46019 |
@article{Sonntag_Peitz_2024, title={Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems}, DOI={10.1007/s10957-024-02389-3}, journal={Journal of Optimization Theory and Applications}, publisher={Springer}, author={Sonntag, Konstantin and Peitz, Sebastian}, year={2024} }
LibreCat
| DOI
| Download (ext.)
2020 | Book Chapter | LibreCat-ID: 16289
@inbook{Peitz_Klus_2020, place={Cham}, series={Lecture Notes in Control and Information Sciences}, title={Feedback Control of Nonlinear PDEs Using Data-Efficient Reduced Order Models Based on the Koopman Operator}, volume={484}, DOI={10.1007/978-3-030-35713-9_10}, booktitle={Lecture Notes in Control and Information Sciences}, publisher={Springer}, author={Peitz, Sebastian and Klus, Stefan}, year={2020}, pages={257–282}, collection={Lecture Notes in Control and Information Sciences} }
LibreCat
| DOI
2002 | Journal Article | LibreCat-ID: 16556
@article{Dellnitz_2002, title={Finding zeros by multilevel subdivision techniques}, DOI={10.1093/imanum/22.2.167}, journal={IMA Journal of Numerical Analysis}, author={Dellnitz, M.}, year={2002}, pages={167–185} }
LibreCat
| DOI
2019 | Conference Paper | LibreCat-ID: 10597
@inproceedings{Hanke_Peitz_Wallscheid_Böcker_Dellnitz_2019, title={Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous Motor Application with Online Least Squares System Identification}, DOI={10.1109/precede.2019.8753313}, booktitle={2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE)}, author={Hanke, Soren and Peitz, Sebastian and Wallscheid, Oliver and Böcker, Joachim and Dellnitz, Michael}, year={2019} }
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 23428 |
@article{Nüske_Peitz_Philipp_Schaller_Worthmann_2023, title={Finite-data error bounds for Koopman-based prediction and control}, volume={33}, DOI={10.1007/s00332-022-09862-1}, number={14}, journal={Journal of Nonlinear Science}, author={Nüske, Feliks and Peitz, Sebastian and Philipp, Friedrich and Schaller, Manuel and Worthmann, Karl}, year={2023} }
LibreCat
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| Download (ext.)
1992 | Journal Article | LibreCat-ID: 16548
@article{Dellnitz_Melbourne_Marsden_1992, title={Generic bifurcation of Hamiltonian vector fields with symmetry}, DOI={10.1088/0951-7715/5/4/008}, journal={Nonlinearity}, author={Dellnitz, M and Melbourne, I and Marsden, J E}, year={1992}, pages={979–996} }
LibreCat
| DOI
1992 | Book Chapter | LibreCat-ID: 16547
@inbook{Dellnitz_Marsden_Melbourne_Scheurle_1992, place={Basel}, title={Generic Bifurcations of Pendula}, DOI={10.1007/978-3-0348-7536-3_10}, booktitle={Bifurcation and Symmetry}, author={Dellnitz, Michael and Marsden, Jerrold E. and Melbourne, Ian and Scheurle, Jürgen}, year={1992} }
LibreCat
| DOI
1994 | Journal Article | LibreCat-ID: 16541
@article{Dellnitz_Melbourne_1994, title={Generic movement of eigenvalues for equivariant self-adjoint matrices}, DOI={10.1016/0377-0427(94)90032-9}, journal={Journal of Computational and Applied Mathematics}, author={Dellnitz, Michael and Melbourne, Ian}, year={1994}, pages={249–259} }
LibreCat
| DOI
2007 | Journal Article | LibreCat-ID: 16612
@article{Grüne_Junge_2007, title={Global Optimal Control of Perturbed Systems}, DOI={10.1007/s10957-007-9312-z}, journal={Journal of Optimization Theory and Applications}, author={Grüne, L. and Junge, O.}, year={2007}, pages={411–429} }
LibreCat
| DOI
2004 | Journal Article | LibreCat-ID: 16500
@article{Chaudhuri_Sertl_Hajnal_Dellnitz_Frauenheim_2004, title={Global optimization of silicon nanoclusters}, DOI={10.1016/j.apsusc.2003.11.007}, journal={Applied Surface Science}, author={Chaudhuri, I. and Sertl, S. and Hajnal, Z. and Dellnitz, M. and Frauenheim, Th.}, year={2004}, pages={108–113} }
LibreCat
| DOI
2006 | Journal Article | LibreCat-ID: 16671
@article{Sertl_Dellnitz_2006, title={Global Optimization using a Dynamical Systems Approach}, DOI={10.1007/s10898-005-4384-5}, journal={Journal of Global Optimization}, author={Sertl, Stefan and Dellnitz, Michael}, year={2006}, pages={569–587} }
LibreCat
| DOI
2017 | Conference Paper | LibreCat-ID: 8752
@inproceedings{Peitz_Dellnitz_2017, place={Cham}, title={Gradient-Based Multiobjective Optimization with Uncertainties}, DOI={10.1007/978-3-319-64063-1_7}, booktitle={NEO 2016}, author={Peitz, Sebastian and Dellnitz, Michael}, year={2017}, pages={159–182} }
LibreCat
| DOI
2006 | Book Chapter | LibreCat-ID: 16559
@inbook{Dellnitz_Molo_Metzner_Preis_Schütte_2006, title={Graph Algorithms for Dynamical Systems}, DOI={10.1007/3-540-35657-6_23}, booktitle={Analysis, Modeling and Simulation of Multiscale Problems}, author={Dellnitz, Michael and Molo, Mirko Hessel-von and Metzner, Philipp and Preis, Robert and Schütte, Christof}, year={2006} }
LibreCat
| DOI
2012 | Journal Article | LibreCat-ID: 16659
@article{Ringkamp_Ober-Blöbaum_Dellnitz_Schütze_2012, title={Handling high-dimensional problems with multi-objective continuation methods via successive approximation of the tangent space}, DOI={10.1080/0305215x.2011.634407}, journal={Engineering Optimization}, author={Ringkamp, Maik and Ober-Blöbaum, Sina and Dellnitz, Michael and Schütze, Oliver}, year={2012}, pages={1117–1146} }
LibreCat
| DOI