[{"status":"public","publication":"6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018","type":"conference","language":[{"iso":"eng"}],"department":[{"_id":"636"}],"user_id":"15694","_id":"29427","page":"50-55","corporate_editor":["IFAC-PapersOnLine"],"citation":{"ieee":"F. Jiménez and S. Ober-Blöbaum, “A fractional variational approach for modelling dissipative mechanical systems continuous and discrete settings,” in <i>6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018</i>, 2018, vol. 51(3), pp. 50–55.","chicago":"Jiménez, F., and Sina Ober-Blöbaum. “A Fractional Variational Approach for Modelling Dissipative Mechanical Systems Continuous and Discrete Settings.” In <i>6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018</i>, edited by IFAC-PapersOnLine, 51(3):50–55, 2018.","ama":"Jiménez F, Ober-Blöbaum S. A fractional variational approach for modelling dissipative mechanical systems continuous and discrete settings. In: IFAC-PapersOnLine, ed. <i>6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018</i>. Vol 51(3). ; 2018:50-55.","apa":"Jiménez, F., &#38; Ober-Blöbaum, S. (2018). A fractional variational approach for modelling dissipative mechanical systems continuous and discrete settings. In IFAC-PapersOnLine (Ed.), <i>6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018: Vol. 51(3)</i> (pp. 50–55).","short":"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.","bibtex":"@inproceedings{Jiménez_Ober-Blöbaum_2018, title={A fractional variational approach for modelling dissipative mechanical systems continuous and discrete settings}, volume={51(3)}, booktitle={6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018}, author={Jiménez, F. and Ober-Blöbaum, Sina}, editor={IFAC-PapersOnLine}, year={2018}, pages={50–55} }","mla":"Jiménez, F., and Sina Ober-Blöbaum. “A Fractional Variational Approach for Modelling Dissipative Mechanical Systems Continuous and Discrete Settings.” <i>6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018</i>, edited by IFAC-PapersOnLine, vol. 51(3), 2018, pp. 50–55."},"year":"2018","title":"A fractional variational approach for modelling dissipative mechanical systems continuous and discrete settings","volume":"51(3)","author":[{"full_name":"Jiménez, F.","last_name":"Jiménez","first_name":"F."},{"first_name":"Sina","full_name":"Ober-Blöbaum, Sina","id":"16494","last_name":"Ober-Blöbaum"}],"date_created":"2022-01-18T14:55:51Z","date_updated":"2022-01-21T13:53:24Z"},{"year":"2018","place":"Tübingen, Germany","citation":{"bibtex":"@book{Kovács_2018, place={Tübingen, Germany}, title={Numerical analysis of partial differential equations on and of evolving surfaces}, author={Kovács, Balázs}, year={2018} }","short":"B. Kovács, Numerical Analysis of Partial Differential Equations on and of Evolving Surfaces, Tübingen, Germany, 2018.","mla":"Kovács, Balázs. <i>Numerical Analysis of Partial Differential Equations on and of Evolving Surfaces</i>. 2018.","apa":"Kovács, B. (2018). <i>Numerical analysis of partial differential equations on and of evolving surfaces</i>.","ieee":"B. Kovács, <i>Numerical analysis of partial differential equations on and of evolving surfaces</i>. Tübingen, Germany, 2018.","chicago":"Kovács, Balázs. <i>Numerical Analysis of Partial Differential Equations on and of Evolving Surfaces</i>. Tübingen, Germany, 2018.","ama":"Kovács B. <i>Numerical Analysis of Partial Differential Equations on and of Evolving Surfaces</i>.; 2018."},"publication_status":"published","title":"Numerical analysis of partial differential equations on and of evolving surfaces","main_file_link":[{"open_access":"1","url":"https://na.uni-tuebingen.de/~kovacs/BKovacs_habilitation.pdf"}],"oa":"1","date_updated":"2024-04-03T09:14:36Z","author":[{"last_name":"Kovács","orcid":"0000-0001-9872-3474","id":"100441","full_name":"Kovács, Balázs","first_name":"Balázs"}],"date_created":"2023-07-10T12:37:48Z","supervisor":[{"first_name":"Christian","full_name":"Lubich, Christian","last_name":"Lubich"}],"status":"public","type":"habilitation","extern":"1","language":[{"iso":"eng"}],"_id":"45974","user_id":"100441","department":[{"_id":"841"}]},{"publisher":"Oxford University Press (OUP)","date_updated":"2024-04-03T09:21:21Z","author":[{"full_name":"Karátson, János","last_name":"Karátson","first_name":"János"},{"last_name":"Kovács","orcid":"0000-0001-9872-3474","id":"100441","full_name":"Kovács, Balázs","first_name":"Balázs"},{"last_name":"Korotov","full_name":"Korotov, Sergey","first_name":"Sergey"}],"date_created":"2023-07-10T11:41:27Z","volume":40,"title":"Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary","doi":"10.1093/imanum/dry086","publication_status":"published","publication_identifier":{"issn":["0272-4979","1464-3642"]},"issue":"2","year":"2018","citation":{"chicago":"Karátson, János, Balázs Kovács, and Sergey Korotov. “Discrete Maximum Principles for Nonlinear Elliptic Finite Element Problems on Surfaces with Boundary.” <i>IMA Journal of Numerical Analysis</i> 40, no. 2 (2018): 1241–65. <a href=\"https://doi.org/10.1093/imanum/dry086\">https://doi.org/10.1093/imanum/dry086</a>.","ieee":"J. Karátson, B. Kovács, and S. Korotov, “Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary,” <i>IMA Journal of Numerical Analysis</i>, vol. 40, no. 2, pp. 1241–1265, 2018, doi: <a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>.","ama":"Karátson J, Kovács B, Korotov S. Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. <i>IMA Journal of Numerical Analysis</i>. 2018;40(2):1241-1265. doi:<a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>","apa":"Karátson, J., Kovács, B., &#38; Korotov, S. (2018). Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. <i>IMA Journal of Numerical Analysis</i>, <i>40</i>(2), 1241–1265. <a href=\"https://doi.org/10.1093/imanum/dry086\">https://doi.org/10.1093/imanum/dry086</a>","short":"J. Karátson, B. Kovács, S. Korotov, IMA Journal of Numerical Analysis 40 (2018) 1241–1265.","bibtex":"@article{Karátson_Kovács_Korotov_2018, title={Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary}, volume={40}, DOI={<a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>}, number={2}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Karátson, János and Kovács, Balázs and Korotov, Sergey}, year={2018}, pages={1241–1265} }","mla":"Karátson, János, et al. “Discrete Maximum Principles for Nonlinear Elliptic Finite Element Problems on Surfaces with Boundary.” <i>IMA Journal of Numerical Analysis</i>, vol. 40, no. 2, Oxford University Press (OUP), 2018, pp. 1241–65, doi:<a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>."},"intvolume":"        40","page":"1241-1265","_id":"45950","user_id":"100441","department":[{"_id":"841"}],"keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"language":[{"iso":"eng"}],"type":"journal_article","publication":"IMA Journal of Numerical Analysis","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>The maximum principle forms an important qualitative property of second-order elliptic equations; therefore, its discrete analogues, the so-called discrete maximum principles (DMPs), have drawn much attention owing to their role in reinforcing the qualitative reliability of the given numerical scheme. In this paper DMPs are established for nonlinear finite element problems on surfaces with boundary, corresponding to the classical pointwise maximum principles on Riemannian manifolds in the spirit of Pucci &amp; Serrin (2007, The Maximum Principle. Springer). Various real-life examples illustrate the scope of the results.</jats:p>","lang":"eng"}],"status":"public"},{"type":"journal_article","status":"public","_id":"45949","user_id":"100441","department":[{"_id":"841"}],"publication_status":"published","publication_identifier":{"issn":["0272-4979","1464-3642"]},"citation":{"ama":"Karátson J, Kovács B, Korotov S. Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. <i>IMA Journal of Numerical Analysis</i>. 2018;40(2):1241-1265. doi:<a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>","chicago":"Karátson, János, Balázs Kovács, and Sergey Korotov. “Discrete Maximum Principles for Nonlinear Elliptic Finite Element Problems on Surfaces with Boundary.” <i>IMA Journal of Numerical Analysis</i> 40, no. 2 (2018): 1241–65. <a href=\"https://doi.org/10.1093/imanum/dry086\">https://doi.org/10.1093/imanum/dry086</a>.","ieee":"J. Karátson, B. Kovács, and S. Korotov, “Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary,” <i>IMA Journal of Numerical Analysis</i>, vol. 40, no. 2, pp. 1241–1265, 2018, doi: <a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>.","mla":"Karátson, János, et al. “Discrete Maximum Principles for Nonlinear Elliptic Finite Element Problems on Surfaces with Boundary.” <i>IMA Journal of Numerical Analysis</i>, vol. 40, no. 2, Oxford University Press (OUP), 2018, pp. 1241–65, doi:<a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>.","bibtex":"@article{Karátson_Kovács_Korotov_2018, title={Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary}, volume={40}, DOI={<a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>}, number={2}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Karátson, János and Kovács, Balázs and Korotov, Sergey}, year={2018}, pages={1241–1265} }","short":"J. Karátson, B. Kovács, S. Korotov, IMA Journal of Numerical Analysis 40 (2018) 1241–1265.","apa":"Karátson, J., Kovács, B., &#38; Korotov, S. (2018). Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. <i>IMA Journal of Numerical Analysis</i>, <i>40</i>(2), 1241–1265. <a href=\"https://doi.org/10.1093/imanum/dry086\">https://doi.org/10.1093/imanum/dry086</a>"},"page":"1241-1265","intvolume":"        40","date_updated":"2024-04-03T09:21:29Z","author":[{"first_name":"János","full_name":"Karátson, János","last_name":"Karátson"},{"last_name":"Kovács","full_name":"Kovács, Balázs","first_name":"Balázs"},{"full_name":"Korotov, Sergey","last_name":"Korotov","first_name":"Sergey"}],"volume":40,"doi":"10.1093/imanum/dry086","publication":"IMA Journal of Numerical Analysis","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>The maximum principle forms an important qualitative property of second-order elliptic equations; therefore, its discrete analogues, the so-called discrete maximum principles (DMPs), have drawn much attention owing to their role in reinforcing the qualitative reliability of the given numerical scheme. In this paper DMPs are established for nonlinear finite element problems on surfaces with boundary, corresponding to the classical pointwise maximum principles on Riemannian manifolds in the spirit of Pucci &amp; Serrin (2007, The Maximum Principle. Springer). Various real-life examples illustrate the scope of the results.</jats:p>","lang":"eng"}],"keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"language":[{"iso":"eng"}],"issue":"2","year":"2018","publisher":"Oxford University Press (OUP)","date_created":"2023-07-10T11:41:19Z","title":"Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary"},{"status":"public","type":"journal_article","publication":"Numerische Mathematik","keyword":["Applied Mathematics","Computational Mathematics"],"language":[{"iso":"eng"}],"_id":"45947","user_id":"100441","department":[{"_id":"841"}],"year":"2018","citation":{"bibtex":"@article{Kovács_Lubich_2018, title={Linearly implicit full discretization of surface evolution}, volume={140}, DOI={<a href=\"https://doi.org/10.1007/s00211-018-0962-6\">10.1007/s00211-018-0962-6</a>}, number={1}, journal={Numerische Mathematik}, publisher={Springer Science and Business Media LLC}, author={Kovács, Balázs and Lubich, Christian}, year={2018}, pages={121–152} }","short":"B. Kovács, C. Lubich, Numerische Mathematik 140 (2018) 121–152.","mla":"Kovács, Balázs, and Christian Lubich. “Linearly Implicit Full Discretization of Surface Evolution.” <i>Numerische Mathematik</i>, vol. 140, no. 1, Springer Science and Business Media LLC, 2018, pp. 121–52, doi:<a href=\"https://doi.org/10.1007/s00211-018-0962-6\">10.1007/s00211-018-0962-6</a>.","apa":"Kovács, B., &#38; Lubich, C. (2018). Linearly implicit full discretization of surface evolution. <i>Numerische Mathematik</i>, <i>140</i>(1), 121–152. <a href=\"https://doi.org/10.1007/s00211-018-0962-6\">https://doi.org/10.1007/s00211-018-0962-6</a>","ieee":"B. Kovács and C. Lubich, “Linearly implicit full discretization of surface evolution,” <i>Numerische Mathematik</i>, vol. 140, no. 1, pp. 121–152, 2018, doi: <a href=\"https://doi.org/10.1007/s00211-018-0962-6\">10.1007/s00211-018-0962-6</a>.","chicago":"Kovács, Balázs, and Christian Lubich. “Linearly Implicit Full Discretization of Surface Evolution.” <i>Numerische Mathematik</i> 140, no. 1 (2018): 121–52. <a href=\"https://doi.org/10.1007/s00211-018-0962-6\">https://doi.org/10.1007/s00211-018-0962-6</a>.","ama":"Kovács B, Lubich C. Linearly implicit full discretization of surface evolution. <i>Numerische Mathematik</i>. 2018;140(1):121-152. doi:<a href=\"https://doi.org/10.1007/s00211-018-0962-6\">10.1007/s00211-018-0962-6</a>"},"intvolume":"       140","page":"121-152","publication_status":"published","publication_identifier":{"issn":["0029-599X","0945-3245"]},"issue":"1","title":"Linearly implicit full discretization of surface evolution","doi":"10.1007/s00211-018-0962-6","publisher":"Springer Science and Business Media LLC","date_updated":"2024-04-03T09:21:48Z","author":[{"first_name":"Balázs","full_name":"Kovács, Balázs","id":"100441","last_name":"Kovács","orcid":"0000-0001-9872-3474"},{"last_name":"Lubich","full_name":"Lubich, Christian","first_name":"Christian"}],"date_created":"2023-07-10T11:40:40Z","volume":140},{"title":"Computing arbitrary Lagrangian Eulerian maps for evolving surfaces","doi":"10.1002/num.22340","date_updated":"2024-04-03T09:21:13Z","publisher":"Wiley","volume":35,"date_created":"2023-07-10T11:41:54Z","author":[{"last_name":"Kovács","orcid":"0000-0001-9872-3474","full_name":"Kovács, Balázs","id":"100441","first_name":"Balázs"}],"year":"2018","page":"1093-1112","intvolume":"        35","citation":{"chicago":"Kovács, Balázs. “Computing Arbitrary Lagrangian Eulerian Maps for Evolving Surfaces.” <i>Numerical Methods for Partial Differential Equations</i> 35, no. 3 (2018): 1093–1112. <a href=\"https://doi.org/10.1002/num.22340\">https://doi.org/10.1002/num.22340</a>.","ieee":"B. Kovács, “Computing arbitrary Lagrangian Eulerian maps for evolving surfaces,” <i>Numerical Methods for Partial Differential Equations</i>, vol. 35, no. 3, pp. 1093–1112, 2018, doi: <a href=\"https://doi.org/10.1002/num.22340\">10.1002/num.22340</a>.","ama":"Kovács B. Computing arbitrary Lagrangian Eulerian maps for evolving surfaces. <i>Numerical Methods for Partial Differential Equations</i>. 2018;35(3):1093-1112. doi:<a href=\"https://doi.org/10.1002/num.22340\">10.1002/num.22340</a>","mla":"Kovács, Balázs. “Computing Arbitrary Lagrangian Eulerian Maps for Evolving Surfaces.” <i>Numerical Methods for Partial Differential Equations</i>, vol. 35, no. 3, Wiley, 2018, pp. 1093–112, doi:<a href=\"https://doi.org/10.1002/num.22340\">10.1002/num.22340</a>.","bibtex":"@article{Kovács_2018, title={Computing arbitrary Lagrangian Eulerian maps for evolving surfaces}, volume={35}, DOI={<a href=\"https://doi.org/10.1002/num.22340\">10.1002/num.22340</a>}, number={3}, journal={Numerical Methods for Partial Differential Equations}, publisher={Wiley}, author={Kovács, Balázs}, year={2018}, pages={1093–1112} }","short":"B. Kovács, Numerical Methods for Partial Differential Equations 35 (2018) 1093–1112.","apa":"Kovács, B. (2018). Computing arbitrary Lagrangian Eulerian maps for evolving surfaces. <i>Numerical Methods for Partial Differential Equations</i>, <i>35</i>(3), 1093–1112. <a href=\"https://doi.org/10.1002/num.22340\">https://doi.org/10.1002/num.22340</a>"},"publication_identifier":{"issn":["0749-159X","1098-2426"]},"publication_status":"published","issue":"3","keyword":["Applied Mathematics","Computational Mathematics","Numerical Analysis","Analysis"],"language":[{"iso":"eng"}],"_id":"45951","department":[{"_id":"841"}],"user_id":"100441","status":"public","publication":"Numerical Methods for Partial Differential Equations","type":"journal_article"},{"extern":"1","language":[{"iso":"eng"}],"_id":"55291","department":[{"_id":"102"}],"user_id":"106108","status":"public","type":"dissertation","title":"On Beatty sets and some generalisations thereof","doi":"10.25972/WUP-978-3-95826-089-4","date_updated":"2024-07-24T07:24:57Z","publisher":"University of Würzburg","date_created":"2024-07-16T11:09:19Z","supervisor":[{"full_name":"Steuding, Jörn","last_name":"Steuding","first_name":"Jörn"}],"author":[{"last_name":"Technau","orcid":"0000-0001-9650-2459","full_name":"Technau, Marc","id":"106108","first_name":"Marc"}],"year":"2018","place":"Würzburg","citation":{"apa":"Technau, M. (2018). <i>On Beatty sets and some generalisations thereof</i>. University of Würzburg. <a href=\"https://doi.org/10.25972/WUP-978-3-95826-089-4\">https://doi.org/10.25972/WUP-978-3-95826-089-4</a>","short":"M. Technau, On Beatty Sets and Some Generalisations Thereof, University of Würzburg, Würzburg, 2018.","bibtex":"@book{Technau_2018, place={Würzburg}, title={On Beatty sets and some generalisations thereof}, DOI={<a href=\"https://doi.org/10.25972/WUP-978-3-95826-089-4\">10.25972/WUP-978-3-95826-089-4</a>}, publisher={University of Würzburg}, author={Technau, Marc}, year={2018} }","mla":"Technau, Marc. <i>On Beatty Sets and Some Generalisations Thereof</i>. University of Würzburg, 2018, doi:<a href=\"https://doi.org/10.25972/WUP-978-3-95826-089-4\">10.25972/WUP-978-3-95826-089-4</a>.","ieee":"M. Technau, <i>On Beatty sets and some generalisations thereof</i>. Würzburg: University of Würzburg, 2018.","chicago":"Technau, Marc. <i>On Beatty Sets and Some Generalisations Thereof</i>. Würzburg: University of Würzburg, 2018. <a href=\"https://doi.org/10.25972/WUP-978-3-95826-089-4\">https://doi.org/10.25972/WUP-978-3-95826-089-4</a>.","ama":"Technau M. <i>On Beatty Sets and Some Generalisations Thereof</i>. University of Würzburg; 2018. doi:<a href=\"https://doi.org/10.25972/WUP-978-3-95826-089-4\">10.25972/WUP-978-3-95826-089-4</a>"}},{"doi":"10.1016/j.jsc.2018.04.013","date_updated":"2023-03-06T09:05:51Z","volume":93,"author":[{"first_name":"Andreas-Stephan","full_name":"Elsenhans, Andreas-Stephan","last_name":"Elsenhans"},{"first_name":"Jürgen","full_name":"Klüners, Jürgen","id":"21202","last_name":"Klüners"}],"intvolume":"        93","page":"1-20","citation":{"bibtex":"@article{Elsenhans_Klüners_2018, title={Computing subfields of number fields and applications to Galois group computations}, volume={93}, DOI={<a href=\"https://doi.org/10.1016/j.jsc.2018.04.013\">10.1016/j.jsc.2018.04.013</a>}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={Elsenhans, Andreas-Stephan and Klüners, Jürgen}, year={2018}, pages={1–20} }","mla":"Elsenhans, Andreas-Stephan, and Jürgen Klüners. “Computing Subfields of Number Fields and Applications to Galois Group Computations.” <i>Journal of Symbolic Computation</i>, vol. 93, Elsevier BV, 2018, pp. 1–20, doi:<a href=\"https://doi.org/10.1016/j.jsc.2018.04.013\">10.1016/j.jsc.2018.04.013</a>.","short":"A.-S. Elsenhans, J. Klüners, Journal of Symbolic Computation 93 (2018) 1–20.","apa":"Elsenhans, A.-S., &#38; Klüners, J. (2018). Computing subfields of number fields and applications to Galois group computations. <i>Journal of Symbolic Computation</i>, <i>93</i>, 1–20. <a href=\"https://doi.org/10.1016/j.jsc.2018.04.013\">https://doi.org/10.1016/j.jsc.2018.04.013</a>","ieee":"A.-S. Elsenhans and J. Klüners, “Computing subfields of number fields and applications to Galois group computations,” <i>Journal of Symbolic Computation</i>, vol. 93, pp. 1–20, 2018, doi: <a href=\"https://doi.org/10.1016/j.jsc.2018.04.013\">10.1016/j.jsc.2018.04.013</a>.","chicago":"Elsenhans, Andreas-Stephan, and Jürgen Klüners. “Computing Subfields of Number Fields and Applications to Galois Group Computations.” <i>Journal of Symbolic Computation</i> 93 (2018): 1–20. <a href=\"https://doi.org/10.1016/j.jsc.2018.04.013\">https://doi.org/10.1016/j.jsc.2018.04.013</a>.","ama":"Elsenhans A-S, Klüners J. Computing subfields of number fields and applications to Galois group computations. <i>Journal of Symbolic Computation</i>. 2018;93:1-20. doi:<a href=\"https://doi.org/10.1016/j.jsc.2018.04.013\">10.1016/j.jsc.2018.04.013</a>"},"publication_identifier":{"issn":["0747-7171"]},"publication_status":"published","_id":"34843","department":[{"_id":"102"}],"user_id":"93826","status":"public","type":"journal_article","title":"Computing subfields of number fields and applications to Galois group computations","publisher":"Elsevier BV","date_created":"2022-12-22T10:52:18Z","year":"2018","keyword":["Computational Mathematics","Algebra and Number Theory"],"language":[{"iso":"eng"}],"external_id":{"arxiv":["1610.06837 "]},"abstract":[{"text":"A polynomial time algorithm to find generators of the lattice of all subfields of a given number field was given in van Hoeij et al. (2013).\r\n\r\nThis article reports on a massive speedup of this algorithm. This is primary achieved by our new concept of Galois-generating subfields. In general this is a very small set of subfields that determine all other subfields in a group-theoretic way. We compute them by targeted calls to the method from van Hoeij et al. (2013). For an early termination of these calls, we give a list of criteria that imply that further calls will not result in additional subfields.\r\n\r\nFinally, we explain how we use subfields to get a good starting group for the computation of Galois groups.","lang":"eng"}],"publication":"Journal of Symbolic Computation"},{"status":"public","abstract":[{"text":"We classify all one-class genera of admissible lattice chains of length at least 2 in hermitian spaces over number fields. If L is a lattice in the chain and p the prime ideal dividing the index of the lattices in the chain, then the {p}-arithmetic group Aut(L{p}) acts chamber transitively on the corresponding Bruhat-Tits building. So our classification provides a step forward to a complete classification of these chamber transitive groups which has been announced 1987 (without a detailed proof) by Kantor, Liebler and Tits. In fact we find all their groups over number fields and one additional building with a discrete chamber transitive group.","lang":"eng"}],"publication":"Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory","type":"book_chapter","extern":"1","language":[{"iso":"eng"}],"department":[{"_id":"102"}],"user_id":"93826","_id":"42788","citation":{"apa":"Kirschmer, M., &#38; Nebe, G. (2018). One Class Genera of Lattice Chains Over Number Fields. In <i>Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory</i>. Springer International Publishing. <a href=\"https://doi.org/10.1007/978-3-319-70566-8_22\">https://doi.org/10.1007/978-3-319-70566-8_22</a>","bibtex":"@inbook{Kirschmer_Nebe_2018, place={Cham}, title={One Class Genera of Lattice Chains Over Number Fields}, DOI={<a href=\"https://doi.org/10.1007/978-3-319-70566-8_22\">10.1007/978-3-319-70566-8_22</a>}, booktitle={Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory}, publisher={Springer International Publishing}, author={Kirschmer, Markus and Nebe, Gabriele}, year={2018} }","mla":"Kirschmer, Markus, and Gabriele Nebe. “One Class Genera of Lattice Chains Over Number Fields.” <i>Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory</i>, Springer International Publishing, 2018, doi:<a href=\"https://doi.org/10.1007/978-3-319-70566-8_22\">10.1007/978-3-319-70566-8_22</a>.","short":"M. Kirschmer, G. Nebe, in: Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory, Springer International Publishing, Cham, 2018.","chicago":"Kirschmer, Markus, and Gabriele Nebe. “One Class Genera of Lattice Chains Over Number Fields.” In <i>Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory</i>. Cham: Springer International Publishing, 2018. <a href=\"https://doi.org/10.1007/978-3-319-70566-8_22\">https://doi.org/10.1007/978-3-319-70566-8_22</a>.","ieee":"M. Kirschmer and G. Nebe, “One Class Genera of Lattice Chains Over Number Fields,” in <i>Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory</i>, Cham: Springer International Publishing, 2018.","ama":"Kirschmer M, Nebe G. One Class Genera of Lattice Chains Over Number Fields. In: <i>Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory</i>. Springer International Publishing; 2018. doi:<a href=\"https://doi.org/10.1007/978-3-319-70566-8_22\">10.1007/978-3-319-70566-8_22</a>"},"year":"2018","place":"Cham","publication_identifier":{"isbn":["9783319705651","9783319705668"]},"publication_status":"published","doi":"10.1007/978-3-319-70566-8_22","title":"One Class Genera of Lattice Chains Over Number Fields","author":[{"last_name":"Kirschmer","id":"82258","full_name":"Kirschmer, Markus","first_name":"Markus"},{"first_name":"Gabriele","full_name":"Nebe, Gabriele","last_name":"Nebe"}],"date_created":"2023-03-07T08:23:48Z","date_updated":"2023-04-04T09:08:19Z","publisher":"Springer International Publishing"},{"status":"public","abstract":[{"lang":"eng","text":"We show that exceptional algebraic groups over number fields do not admit one-class genera of parahoric groups, except in the case G₂ . For the group G₂, we enumerate all such one-class genera for the usual seven-dimensional representation."}],"type":"journal_article","publication":"Journal de Théorie des Nombres de Bordeaux","extern":"1","language":[{"iso":"eng"}],"keyword":["Algebra and Number Theory"],"user_id":"93826","department":[{"_id":"102"}],"_id":"42790","citation":{"ama":"Kirschmer M. One-class genera of exceptional groups over number fields. <i>Journal de Théorie des Nombres de Bordeaux</i>. 2018;30(3):847-857. doi:<a href=\"https://doi.org/10.5802/jtnb.1052\">10.5802/jtnb.1052</a>","chicago":"Kirschmer, Markus. “One-Class Genera of Exceptional Groups over Number Fields.” <i>Journal de Théorie Des Nombres de Bordeaux</i> 30, no. 3 (2018): 847–57. <a href=\"https://doi.org/10.5802/jtnb.1052\">https://doi.org/10.5802/jtnb.1052</a>.","ieee":"M. Kirschmer, “One-class genera of exceptional groups over number fields,” <i>Journal de Théorie des Nombres de Bordeaux</i>, vol. 30, no. 3, pp. 847–857, 2018, doi: <a href=\"https://doi.org/10.5802/jtnb.1052\">10.5802/jtnb.1052</a>.","apa":"Kirschmer, M. (2018). One-class genera of exceptional groups over number fields. <i>Journal de Théorie Des Nombres de Bordeaux</i>, <i>30</i>(3), 847–857. <a href=\"https://doi.org/10.5802/jtnb.1052\">https://doi.org/10.5802/jtnb.1052</a>","bibtex":"@article{Kirschmer_2018, title={One-class genera of exceptional groups over number fields}, volume={30}, DOI={<a href=\"https://doi.org/10.5802/jtnb.1052\">10.5802/jtnb.1052</a>}, number={3}, journal={Journal de Théorie des Nombres de Bordeaux}, publisher={Cellule MathDoc/CEDRAM}, author={Kirschmer, Markus}, year={2018}, pages={847–857} }","mla":"Kirschmer, Markus. “One-Class Genera of Exceptional Groups over Number Fields.” <i>Journal de Théorie Des Nombres de Bordeaux</i>, vol. 30, no. 3, Cellule MathDoc/CEDRAM, 2018, pp. 847–57, doi:<a href=\"https://doi.org/10.5802/jtnb.1052\">10.5802/jtnb.1052</a>.","short":"M. Kirschmer, Journal de Théorie Des Nombres de Bordeaux 30 (2018) 847–857."},"page":"847-857","intvolume":"        30","year":"2018","issue":"3","publication_status":"published","publication_identifier":{"issn":["1246-7405","2118-8572"]},"doi":"10.5802/jtnb.1052","title":"One-class genera of exceptional groups over number fields","author":[{"full_name":"Kirschmer, Markus","id":"82258","last_name":"Kirschmer","first_name":"Markus"}],"date_created":"2023-03-07T08:27:36Z","volume":30,"date_updated":"2023-04-04T09:07:32Z","publisher":"Cellule MathDoc/CEDRAM"},{"type":"journal_article","publication":"Optimization Methods and Software","status":"public","project":[{"name":"Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums","_id":"90"}],"_id":"6571","user_id":"11829","department":[{"_id":"49"},{"_id":"104"}],"language":[{"iso":"eng"}],"quality_controlled":"1","publication_identifier":{"issn":["1055-6788"]},"issue":"4-6","year":"2018","citation":{"ieee":"B. Jurgelucks, L. Claes, A. Walther, and B. Henning, “Optimization of triple-ring electrodes on piezoceramic transducers using algorithmic differentiation,” <i>Optimization Methods and Software</i>, vol. 33, no. 4–6, pp. 868--888, 2018, doi: <a href=\"https://doi.org/10.1080/10556788.2018.1435652\">10.1080/10556788.2018.1435652</a>.","chicago":"Jurgelucks, Benjamin, Leander Claes, Andrea Walther, and Bernd Henning. “Optimization of Triple-Ring Electrodes on Piezoceramic Transducers Using Algorithmic Differentiation.” <i>Optimization Methods and Software</i> 33, no. 4–6 (2018): 868--888. <a href=\"https://doi.org/10.1080/10556788.2018.1435652\">https://doi.org/10.1080/10556788.2018.1435652</a>.","ama":"Jurgelucks B, Claes L, Walther A, Henning B. Optimization of triple-ring electrodes on piezoceramic transducers using algorithmic differentiation. <i>Optimization Methods and Software</i>. 2018;33(4-6):868--888. doi:<a href=\"https://doi.org/10.1080/10556788.2018.1435652\">10.1080/10556788.2018.1435652</a>","short":"B. Jurgelucks, L. Claes, A. Walther, B. Henning, Optimization Methods and Software 33 (2018) 868--888.","bibtex":"@article{Jurgelucks_Claes_Walther_Henning_2018, title={Optimization of triple-ring electrodes on piezoceramic transducers using algorithmic differentiation}, volume={33}, DOI={<a href=\"https://doi.org/10.1080/10556788.2018.1435652\">10.1080/10556788.2018.1435652</a>}, number={4–6}, journal={Optimization Methods and Software}, publisher={Taylor and Francis Ltd.}, author={Jurgelucks, Benjamin and Claes, Leander and Walther, Andrea and Henning, Bernd}, year={2018}, pages={868--888} }","mla":"Jurgelucks, Benjamin, et al. “Optimization of Triple-Ring Electrodes on Piezoceramic Transducers Using Algorithmic Differentiation.” <i>Optimization Methods and Software</i>, vol. 33, no. 4–6, Taylor and Francis Ltd., 2018, pp. 868--888, doi:<a href=\"https://doi.org/10.1080/10556788.2018.1435652\">10.1080/10556788.2018.1435652</a>.","apa":"Jurgelucks, B., Claes, L., Walther, A., &#38; Henning, B. (2018). Optimization of triple-ring electrodes on piezoceramic transducers using algorithmic differentiation. <i>Optimization Methods and Software</i>, <i>33</i>(4–6), 868--888. <a href=\"https://doi.org/10.1080/10556788.2018.1435652\">https://doi.org/10.1080/10556788.2018.1435652</a>"},"intvolume":"        33","page":"868--888","date_updated":"2023-06-13T08:06:44Z","publisher":"Taylor and Francis Ltd.","author":[{"last_name":"Jurgelucks","full_name":"Jurgelucks, Benjamin","first_name":"Benjamin"},{"first_name":"Leander","full_name":"Claes, Leander","id":"11829","last_name":"Claes","orcid":"0000-0002-4393-268X"},{"last_name":"Walther","full_name":"Walther, Andrea","first_name":"Andrea"},{"full_name":"Henning, Bernd","id":"213","last_name":"Henning","first_name":"Bernd"}],"date_created":"2019-01-09T14:37:20Z","volume":33,"title":"Optimization of triple-ring electrodes on piezoceramic transducers using algorithmic differentiation","doi":"10.1080/10556788.2018.1435652"},{"type":"preprint","status":"public","_id":"19940","user_id":"85279","department":[{"_id":"636"}],"file_date_updated":"2021-12-21T16:01:03Z","publication_status":"submitted","has_accepted_license":"1","citation":{"ama":"Offen C. Local intersections of Lagrangian manifolds correspond to catastrophe  theory. <i>arXiv:181110165</i>.","ieee":"C. Offen, “Local intersections of Lagrangian manifolds correspond to catastrophe  theory,” <i>arXiv:1811.10165</i>. .","chicago":"Offen, Christian. “Local Intersections of Lagrangian Manifolds Correspond to Catastrophe  Theory.” <i>ArXiv:1811.10165</i>, n.d.","apa":"Offen, C. (n.d.). Local intersections of Lagrangian manifolds correspond to catastrophe  theory. In <i>arXiv:1811.10165</i>.","bibtex":"@article{Offen, title={Local intersections of Lagrangian manifolds correspond to catastrophe  theory}, journal={arXiv:1811.10165}, author={Offen, Christian} }","mla":"Offen, Christian. “Local Intersections of Lagrangian Manifolds Correspond to Catastrophe  Theory.” <i>ArXiv:1811.10165</i>.","short":"C. Offen, ArXiv:1811.10165 (n.d.)."},"oa":"1","date_updated":"2023-08-10T08:48:55Z","author":[{"first_name":"Christian","id":"85279","full_name":"Offen, Christian","last_name":"Offen","orcid":"https://orcid.org/0000-0002-5940-8057"}],"publication":"arXiv:1811.10165","abstract":[{"text":"Two smooth map germs are right-equivalent if and only if they generate two\r\nLagrangian submanifolds in a cotangent bundle which have the same contact with\r\nthe zero-section. In this paper we provide a reverse direction to this\r\nclassical result of Golubitsky and Guillemin. Two Lagrangian submanifolds of a\r\nsymplectic manifold have the same contact with a third Lagrangian submanifold\r\nif and only if the intersection problems correspond to stably right equivalent\r\nmap germs. We, therefore, obtain a correspondence between local Lagrangian\r\nintersection problems and catastrophe theory while the classical version only\r\ncaptures tangential intersections. The correspondence is defined independently\r\nof any Lagrangian fibration of the ambient symplectic manifold, in contrast to\r\nother classical results. Moreover, we provide an extension of the\r\ncorrespondence to families of local Lagrangian intersection problems. This\r\ngives rise to a framework which allows a natural transportation of the notions\r\nof catastrophe theory such as stability, unfolding and (uni-)versality to the\r\ngeometric setting such that we obtain a classification of families of local\r\nLagrangian intersection problems. An application is the classification of\r\nLagrangian boundary value problems for symplectic maps.","lang":"eng"}],"file":[{"relation":"main_file","content_type":"application/pdf","file_size":662483,"description":"Two smooth map germs are right-equivalent if and only if they\ngenerate two Lagrangian submanifolds in a cotangent bundle which have the\nsame contact with the zero-section. In this paper we provide a reverse direction\nto this classical result of Golubitsky and Guillemin. Two Lagrangian submanifolds of a symplectic manifold have the same contact with a third Lagrangian\nsubmanifold if and only if the intersection problems correspond to stably right\nequivalent map germs. We, therefore, obtain a correspondence between local\nLagrangian intersection problems and catastrophe theory while the classical\nversion only captures tangential intersections. The correspondence is defined\nindependently of any Lagrangian fibration of the ambient symplectic manifold, in contrast to other classical results. Moreover, we provide an extension\nof the correspondence to families of local Lagrangian intersection problems.\nThis gives rise to a framework which allows a natural transportation of the\nnotions of catastrophe theory such as stability, unfolding and (uni-)versality\nto the geometric setting such that we obtain a classification of families of lo-\ncal Lagrangian intersection problems. An application is the classification of\nLagrangian boundary value problems for symplectic maps.","title":"Local intersections of Lagrangian manifolds correspond to catastrophe theory","file_name":"LocalLagrangianContact.pdf","file_id":"29078","access_level":"open_access","date_updated":"2021-12-21T16:01:03Z","date_created":"2021-12-21T16:01:03Z","creator":"coffen"}],"external_id":{"arxiv":["1811.10165"]},"ddc":["510"],"language":[{"iso":"eng"}],"year":"2018","date_created":"2020-10-06T16:32:45Z","title":"Local intersections of Lagrangian manifolds correspond to catastrophe  theory"},{"external_id":{"arxiv":["1804.07479"]},"ddc":["510"],"keyword":["Hamiltonian boundary value problems","singularities","conformal symplectic geometry","catastrophe theory","conjugate loci"],"language":[{"iso":"eng"}],"publication":"New Zealand Journal of Mathematics","abstract":[{"lang":"eng","text":"In this paper we continue our study of bifurcations of solutions of boundary-value problems for symplectic maps arising as Hamiltonian diffeomorphisms. These have been shown to be connected to catastrophe theory via generating functions and ordinary and reversal phase space symmetries have been considered. Here we present a convenient, coordinate free framework to analyse separated Lagrangian boundary value problems which include classical Dirichlet, Neumann and Robin boundary value problems. The framework is then used to prove the existence of obstructions arising from conformal symplectic symmetries on the bifurcation behaviour of solutions to Hamiltonian boundary value problems. Under non-degeneracy conditions, a group action by conformal symplectic symmetries has the effect that the flow map cannot degenerate in a direction which is tangential to the action. This imposes restrictions on which singularities can occur in boundary value problems. Our results generalise classical results about conjugate loci on Riemannian manifolds to a large class of Hamiltonian boundary value problems with, for example, scaling symmetries. "}],"file":[{"date_updated":"2020-10-07T14:04:01Z","date_created":"2020-10-06T16:49:29Z","creator":"coffen","file_size":3126111,"title":"Hamiltonian Boundary Value Problems, Conformal Symplectic Symmetries, and Conjugate Loci","file_id":"19946","access_level":"open_access","file_name":"Hamiltonian_Boundary_Value_Problems,_Conformal_Symplectic_Symmetries,_and_Conjugate_Loci.pdf","content_type":"application/pdf","relation":"main_file"}],"date_created":"2020-10-06T16:39:08Z","title":"Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci","quality_controlled":"1","year":"2018","_id":"19943","user_id":"85279","department":[{"_id":"636"}],"article_type":"original","file_date_updated":"2020-10-07T14:04:01Z","extern":"1","type":"journal_article","status":"public","date_updated":"2023-09-21T07:29:24Z","oa":"1","author":[{"full_name":"McLachlan, Robert I","last_name":"McLachlan","first_name":"Robert I"},{"id":"85279","full_name":"Offen, Christian","last_name":"Offen","orcid":"https://orcid.org/0000-0002-5940-8057","first_name":"Christian"}],"volume":48,"main_file_link":[{"url":"https://nzjmath.org/index.php/NZJMATH/article/view/34","open_access":"1"}],"doi":"10.53733/34 ","publication_status":"published","has_accepted_license":"1","citation":{"apa":"McLachlan, R. I., &#38; Offen, C. (2018). Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci. <i>New Zealand Journal of Mathematics</i>, <i>48</i>, 83–99. <a href=\"https://doi.org/10.53733/34 \">https://doi.org/10.53733/34 </a>","bibtex":"@article{McLachlan_Offen_2018, title={Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci}, volume={48}, DOI={<a href=\"https://doi.org/10.53733/34 \">10.53733/34 </a>}, journal={New Zealand Journal of Mathematics}, author={McLachlan, Robert I and Offen, Christian}, year={2018}, pages={83–99} }","mla":"McLachlan, Robert I., and Christian Offen. “Hamiltonian Boundary Value Problems, Conformal Symplectic Symmetries, and Conjugate Loci.” <i>New Zealand Journal of Mathematics</i>, vol. 48, 2018, pp. 83–99, doi:<a href=\"https://doi.org/10.53733/34 \">10.53733/34 </a>.","short":"R.I. McLachlan, C. Offen, New Zealand Journal of Mathematics 48 (2018) 83–99.","chicago":"McLachlan, Robert I, and Christian Offen. “Hamiltonian Boundary Value Problems, Conformal Symplectic Symmetries, and Conjugate Loci.” <i>New Zealand Journal of Mathematics</i> 48 (2018): 83–99. <a href=\"https://doi.org/10.53733/34 \">https://doi.org/10.53733/34 </a>.","ieee":"R. I. McLachlan and C. Offen, “Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci,” <i>New Zealand Journal of Mathematics</i>, vol. 48, pp. 83–99, 2018, doi: <a href=\"https://doi.org/10.53733/34 \">10.53733/34 </a>.","ama":"McLachlan RI, Offen C. Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci. <i>New Zealand Journal of Mathematics</i>. 2018;48:83-99. doi:<a href=\"https://doi.org/10.53733/34 \">10.53733/34 </a>"},"intvolume":"        48","page":"83-99"},{"doi":"10.1063/1.4976518","title":"Markov state models from short non-equilibrium simulations—Analysis and correction of estimation bias","date_created":"2021-04-30T16:55:31Z","author":[{"first_name":"Feliks","orcid":"0000-0003-2444-7889","last_name":"Nüske","id":"81513","full_name":"Nüske, Feliks"},{"full_name":"Wu, Hao","last_name":"Wu","first_name":"Hao"},{"last_name":"Prinz","full_name":"Prinz, Jan-Hendrik","first_name":"Jan-Hendrik"},{"full_name":"Wehmeyer, Christoph","last_name":"Wehmeyer","first_name":"Christoph"},{"last_name":"Clementi","full_name":"Clementi, Cecilia","first_name":"Cecilia"},{"full_name":"Noé, Frank","last_name":"Noé","first_name":"Frank"}],"date_updated":"2022-01-06T06:55:20Z","citation":{"ama":"Nüske F, Wu H, Prinz J-H, Wehmeyer C, Clementi C, Noé F. Markov state models from short non-equilibrium simulations—Analysis and correction of estimation bias. <i>The Journal of Chemical Physics</i>. 2017. doi:<a href=\"https://doi.org/10.1063/1.4976518\">10.1063/1.4976518</a>","chicago":"Nüske, Feliks, Hao Wu, Jan-Hendrik Prinz, Christoph Wehmeyer, Cecilia Clementi, and Frank Noé. “Markov State Models from Short Non-Equilibrium Simulations—Analysis and Correction of Estimation Bias.” <i>The Journal of Chemical Physics</i>, 2017. <a href=\"https://doi.org/10.1063/1.4976518\">https://doi.org/10.1063/1.4976518</a>.","ieee":"F. Nüske, H. Wu, J.-H. Prinz, C. Wehmeyer, C. Clementi, and F. Noé, “Markov state models from short non-equilibrium simulations—Analysis and correction of estimation bias,” <i>The Journal of Chemical Physics</i>, 2017.","bibtex":"@article{Nüske_Wu_Prinz_Wehmeyer_Clementi_Noé_2017, title={Markov state models from short non-equilibrium simulations—Analysis and correction of estimation bias}, DOI={<a href=\"https://doi.org/10.1063/1.4976518\">10.1063/1.4976518</a>}, number={094104}, journal={The Journal of Chemical Physics}, author={Nüske, Feliks and Wu, Hao and Prinz, Jan-Hendrik and Wehmeyer, Christoph and Clementi, Cecilia and Noé, Frank}, year={2017} }","short":"F. Nüske, H. Wu, J.-H. Prinz, C. Wehmeyer, C. Clementi, F. Noé, The Journal of Chemical Physics (2017).","mla":"Nüske, Feliks, et al. “Markov State Models from Short Non-Equilibrium Simulations—Analysis and Correction of Estimation Bias.” <i>The Journal of Chemical Physics</i>, 094104, 2017, doi:<a href=\"https://doi.org/10.1063/1.4976518\">10.1063/1.4976518</a>.","apa":"Nüske, F., Wu, H., Prinz, J.-H., Wehmeyer, C., Clementi, C., &#38; Noé, F. (2017). Markov state models from short non-equilibrium simulations—Analysis and correction of estimation bias. <i>The Journal of Chemical Physics</i>. <a href=\"https://doi.org/10.1063/1.4976518\">https://doi.org/10.1063/1.4976518</a>"},"year":"2017","publication_identifier":{"issn":["0021-9606","1089-7690"]},"publication_status":"published","extern":"1","language":[{"iso":"eng"}],"article_number":"094104","department":[{"_id":"101"}],"user_id":"81513","_id":"21938","status":"public","publication":"The Journal of Chemical Physics","type":"journal_article"},{"status":"public","type":"journal_article","publication":"The Journal of Chemical Physics","extern":"1","language":[{"iso":"eng"}],"article_number":"154104","user_id":"81513","department":[{"_id":"101"}],"_id":"21939","citation":{"apa":"Wu, H., Nüske, F., Paul, F., Klus, S., Koltai, P., &#38; Noé, F. (2017). Variational Koopman models: Slow collective variables and molecular kinetics from short off-equilibrium simulations. <i>The Journal of Chemical Physics</i>. <a href=\"https://doi.org/10.1063/1.4979344\">https://doi.org/10.1063/1.4979344</a>","short":"H. Wu, F. Nüske, F. Paul, S. Klus, P. Koltai, F. Noé, The Journal of Chemical Physics (2017).","bibtex":"@article{Wu_Nüske_Paul_Klus_Koltai_Noé_2017, title={Variational Koopman models: Slow collective variables and molecular kinetics from short off-equilibrium simulations}, DOI={<a href=\"https://doi.org/10.1063/1.4979344\">10.1063/1.4979344</a>}, number={154104}, journal={The Journal of Chemical Physics}, author={Wu, Hao and Nüske, Feliks and Paul, Fabian and Klus, Stefan and Koltai, Péter and Noé, Frank}, year={2017} }","mla":"Wu, Hao, et al. “Variational Koopman Models: Slow Collective Variables and Molecular Kinetics from Short off-Equilibrium Simulations.” <i>The Journal of Chemical Physics</i>, 154104, 2017, doi:<a href=\"https://doi.org/10.1063/1.4979344\">10.1063/1.4979344</a>.","ama":"Wu H, Nüske F, Paul F, Klus S, Koltai P, Noé F. Variational Koopman models: Slow collective variables and molecular kinetics from short off-equilibrium simulations. <i>The Journal of Chemical Physics</i>. 2017. doi:<a href=\"https://doi.org/10.1063/1.4979344\">10.1063/1.4979344</a>","chicago":"Wu, Hao, Feliks Nüske, Fabian Paul, Stefan Klus, Péter Koltai, and Frank Noé. “Variational Koopman Models: Slow Collective Variables and Molecular Kinetics from Short off-Equilibrium Simulations.” <i>The Journal of Chemical Physics</i>, 2017. <a href=\"https://doi.org/10.1063/1.4979344\">https://doi.org/10.1063/1.4979344</a>.","ieee":"H. Wu, F. Nüske, F. Paul, S. Klus, P. Koltai, and F. Noé, “Variational Koopman models: Slow collective variables and molecular kinetics from short off-equilibrium simulations,” <i>The Journal of Chemical Physics</i>, 2017."},"year":"2017","publication_status":"published","publication_identifier":{"issn":["0021-9606","1089-7690"]},"doi":"10.1063/1.4979344","title":"Variational Koopman models: Slow collective variables and molecular kinetics from short off-equilibrium simulations","author":[{"first_name":"Hao","full_name":"Wu, Hao","last_name":"Wu"},{"first_name":"Feliks","orcid":"0000-0003-2444-7889","last_name":"Nüske","full_name":"Nüske, Feliks","id":"81513"},{"first_name":"Fabian","last_name":"Paul","full_name":"Paul, Fabian"},{"last_name":"Klus","full_name":"Klus, Stefan","first_name":"Stefan"},{"full_name":"Koltai, Péter","last_name":"Koltai","first_name":"Péter"},{"first_name":"Frank","last_name":"Noé","full_name":"Noé, Frank"}],"date_created":"2021-04-30T16:57:21Z","date_updated":"2022-01-06T06:55:20Z"},{"abstract":[{"lang":"eng","text":"In this article we develop a gradient-based algorithm for the solution of multiobjective optimization problems with uncertainties. To this end, an additional condition is derived for the descent direction in order to account for inaccuracies in the gradients and then incorporated into a subdivision algorithm for the computation of global solutions to multiobjective optimization problems. Convergence to a superset of the Pareto set is proved and an upper bound for the maximal distance to the set of substationary points is given. Besides the applicability to problems with uncertainties, the algorithm is developed with the intention to use it in combination with model order reduction techniques in order to efficiently solve PDE-constrained multiobjective optimization problems."}],"status":"public","type":"conference","publication":"NEO 2016","language":[{"iso":"eng"}],"project":[{"_id":"52","name":"Computing Resources Provided by the Paderborn Center for Parallel Computing"}],"_id":"8752","user_id":"47427","department":[{"_id":"101"}],"place":"Cham","year":"2017","citation":{"bibtex":"@inproceedings{Peitz_Dellnitz_2017, place={Cham}, title={Gradient-Based Multiobjective Optimization with Uncertainties}, DOI={<a href=\"https://doi.org/10.1007/978-3-319-64063-1_7\">10.1007/978-3-319-64063-1_7</a>}, booktitle={NEO 2016}, author={Peitz, Sebastian and Dellnitz, Michael}, year={2017}, pages={159–182} }","short":"S. Peitz, M. Dellnitz, in: NEO 2016, Cham, 2017, pp. 159–182.","mla":"Peitz, Sebastian, and Michael Dellnitz. “Gradient-Based Multiobjective Optimization with Uncertainties.” <i>NEO 2016</i>, 2017, pp. 159–82, doi:<a href=\"https://doi.org/10.1007/978-3-319-64063-1_7\">10.1007/978-3-319-64063-1_7</a>.","apa":"Peitz, S., &#38; Dellnitz, M. (2017). Gradient-Based Multiobjective Optimization with Uncertainties. In <i>NEO 2016</i> (pp. 159–182). Cham. <a href=\"https://doi.org/10.1007/978-3-319-64063-1_7\">https://doi.org/10.1007/978-3-319-64063-1_7</a>","ama":"Peitz S, Dellnitz M. Gradient-Based Multiobjective Optimization with Uncertainties. In: <i>NEO 2016</i>. Cham; 2017:159-182. doi:<a href=\"https://doi.org/10.1007/978-3-319-64063-1_7\">10.1007/978-3-319-64063-1_7</a>","chicago":"Peitz, Sebastian, and Michael Dellnitz. “Gradient-Based Multiobjective Optimization with Uncertainties.” In <i>NEO 2016</i>, 159–82. Cham, 2017. <a href=\"https://doi.org/10.1007/978-3-319-64063-1_7\">https://doi.org/10.1007/978-3-319-64063-1_7</a>.","ieee":"S. Peitz and M. Dellnitz, “Gradient-Based Multiobjective Optimization with Uncertainties,” in <i>NEO 2016</i>, 2017, pp. 159–182."},"page":"159-182","publication_status":"published","publication_identifier":{"issn":["1860-949X","1860-9503"],"isbn":["9783319640624","9783319640631"]},"title":"Gradient-Based Multiobjective Optimization with Uncertainties","doi":"10.1007/978-3-319-64063-1_7","date_updated":"2022-01-06T07:04:00Z","author":[{"first_name":"Sebastian","id":"47427","full_name":"Peitz, Sebastian","last_name":"Peitz","orcid":"https://orcid.org/0000-0002-3389-793X"},{"first_name":"Michael","last_name":"Dellnitz","full_name":"Dellnitz, Michael"}],"date_created":"2019-03-29T13:28:56Z"},{"citation":{"bibtex":"@inproceedings{Jurgelucks_Feldmann_Claes_Henning_Walther_2017, place={Honolulu}, title={Material parameter determination of a piezoelectric disc with triple-ring-electrodes for increased sensitivity}, DOI={<a href=\"https://doi.org/10.1121/2.0000707\">10.1121/2.0000707</a>}, booktitle={Proceedings of Meetings on Acoustics}, author={Jurgelucks, Benjamin and Feldmann, Nadine and Claes, Leander and Henning, Bernd and Walther, Andrea}, year={2017}, pages={030010} }","short":"B. Jurgelucks, N. Feldmann, L. Claes, B. Henning, A. Walther, in: Proceedings of Meetings on Acoustics, Honolulu, 2017, p. 030010.","mla":"Jurgelucks, Benjamin, et al. “Material Parameter Determination of a Piezoelectric Disc with Triple-Ring-Electrodes for Increased Sensitivity.” <i>Proceedings of Meetings on Acoustics</i>, 2017, p. 030010, doi:<a href=\"https://doi.org/10.1121/2.0000707\">10.1121/2.0000707</a>.","apa":"Jurgelucks, B., Feldmann, N., Claes, L., Henning, B., &#38; Walther, A. (2017). Material parameter determination of a piezoelectric disc with triple-ring-electrodes for increased sensitivity. In <i>Proceedings of Meetings on Acoustics</i> (p. 030010). Honolulu. <a href=\"https://doi.org/10.1121/2.0000707\">https://doi.org/10.1121/2.0000707</a>","ama":"Jurgelucks B, Feldmann N, Claes L, Henning B, Walther A. Material parameter determination of a piezoelectric disc with triple-ring-electrodes for increased sensitivity. In: <i>Proceedings of Meetings on Acoustics</i>. Honolulu; 2017:030010. doi:<a href=\"https://doi.org/10.1121/2.0000707\">10.1121/2.0000707</a>","ieee":"B. Jurgelucks, N. Feldmann, L. Claes, B. Henning, and A. Walther, “Material parameter determination of a piezoelectric disc with triple-ring-electrodes for increased sensitivity,” in <i>Proceedings of Meetings on Acoustics</i>, 2017, p. 030010.","chicago":"Jurgelucks, Benjamin, Nadine Feldmann, Leander Claes, Bernd Henning, and Andrea Walther. “Material Parameter Determination of a Piezoelectric Disc with Triple-Ring-Electrodes for Increased Sensitivity.” In <i>Proceedings of Meetings on Acoustics</i>, 030010. Honolulu, 2017. <a href=\"https://doi.org/10.1121/2.0000707\">https://doi.org/10.1121/2.0000707</a>."},"page":"030010","place":"Honolulu","year":"2017","date_created":"2019-01-09T14:37:21Z","author":[{"first_name":"Benjamin","last_name":"Jurgelucks","full_name":"Jurgelucks, Benjamin"},{"first_name":"Nadine","id":"23082","full_name":"Feldmann, Nadine","last_name":"Feldmann"},{"first_name":"Leander","id":"11829","full_name":"Claes, Leander","last_name":"Claes","orcid":"0000-0002-4393-268X"},{"first_name":"Bernd","full_name":"Henning, Bernd","id":"213","last_name":"Henning"},{"first_name":"Andrea","full_name":"Walther, Andrea","last_name":"Walther"}],"date_updated":"2022-01-06T07:03:12Z","doi":"10.1121/2.0000707","title":"Material parameter determination of a piezoelectric disc with triple-ring-electrodes for increased sensitivity","type":"conference","publication":"Proceedings of Meetings on Acoustics","status":"public","user_id":"23082","department":[{"_id":"49"},{"_id":"104"}],"project":[{"_id":"90","name":"Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums"}],"_id":"6572","language":[{"iso":"eng"}]},{"language":[{"iso":"eng"}],"user_id":"15701","department":[{"_id":"101"}],"_id":"16540","status":"public","type":"journal_article","publication":"Dynamical Systems","doi":"10.1080/14689367.2016.1215410","title":"Sensing and control in symmetric networks","date_created":"2020-04-15T08:40:29Z","author":[{"first_name":"Michael","full_name":"Dellnitz, Michael","last_name":"Dellnitz"},{"first_name":"Stefan","last_name":"Klus","full_name":"Klus, Stefan"}],"date_updated":"2022-01-06T06:52:52Z","citation":{"ieee":"M. Dellnitz and S. Klus, “Sensing and control in symmetric networks,” <i>Dynamical Systems</i>, pp. 61–79, 2017.","chicago":"Dellnitz, Michael, and Stefan Klus. “Sensing and Control in Symmetric Networks.” <i>Dynamical Systems</i>, 2017, 61–79. <a href=\"https://doi.org/10.1080/14689367.2016.1215410\">https://doi.org/10.1080/14689367.2016.1215410</a>.","ama":"Dellnitz M, Klus S. Sensing and control in symmetric networks. <i>Dynamical Systems</i>. 2017:61-79. doi:<a href=\"https://doi.org/10.1080/14689367.2016.1215410\">10.1080/14689367.2016.1215410</a>","bibtex":"@article{Dellnitz_Klus_2017, title={Sensing and control in symmetric networks}, DOI={<a href=\"https://doi.org/10.1080/14689367.2016.1215410\">10.1080/14689367.2016.1215410</a>}, journal={Dynamical Systems}, author={Dellnitz, Michael and Klus, Stefan}, year={2017}, pages={61–79} }","mla":"Dellnitz, Michael, and Stefan Klus. “Sensing and Control in Symmetric Networks.” <i>Dynamical Systems</i>, 2017, pp. 61–79, doi:<a href=\"https://doi.org/10.1080/14689367.2016.1215410\">10.1080/14689367.2016.1215410</a>.","short":"M. Dellnitz, S. Klus, Dynamical Systems (2017) 61–79.","apa":"Dellnitz, M., &#38; Klus, S. (2017). Sensing and control in symmetric networks. <i>Dynamical Systems</i>, 61–79. <a href=\"https://doi.org/10.1080/14689367.2016.1215410\">https://doi.org/10.1080/14689367.2016.1215410</a>"},"page":"61-79","year":"2017","publication_status":"published","publication_identifier":{"issn":["1468-9367","1468-9375"]}},{"publication_identifier":{"issn":["1536-0040"]},"publication_status":"published","year":"2017","page":"120-138","citation":{"apa":"Dellnitz, M., Klus, S., &#38; Ziessler, A. (2017). A Set-Oriented Numerical Approach for Dynamical Systems with Parameter Uncertainty. <i>SIAM Journal on Applied Dynamical Systems</i>, 120–138. <a href=\"https://doi.org/10.1137/16m1072735\">https://doi.org/10.1137/16m1072735</a>","bibtex":"@article{Dellnitz_Klus_Ziessler_2017, title={A Set-Oriented Numerical Approach for Dynamical Systems with Parameter Uncertainty}, DOI={<a href=\"https://doi.org/10.1137/16m1072735\">10.1137/16m1072735</a>}, journal={SIAM Journal on Applied Dynamical Systems}, author={Dellnitz, Michael and Klus, Stefan and Ziessler, Adrian}, year={2017}, pages={120–138} }","mla":"Dellnitz, Michael, et al. “A Set-Oriented Numerical Approach for Dynamical Systems with Parameter Uncertainty.” <i>SIAM Journal on Applied Dynamical Systems</i>, 2017, pp. 120–38, doi:<a href=\"https://doi.org/10.1137/16m1072735\">10.1137/16m1072735</a>.","short":"M. Dellnitz, S. Klus, A. Ziessler, SIAM Journal on Applied Dynamical Systems (2017) 120–138.","chicago":"Dellnitz, Michael, Stefan Klus, and Adrian Ziessler. “A Set-Oriented Numerical Approach for Dynamical Systems with Parameter Uncertainty.” <i>SIAM Journal on Applied Dynamical Systems</i>, 2017, 120–38. <a href=\"https://doi.org/10.1137/16m1072735\">https://doi.org/10.1137/16m1072735</a>.","ieee":"M. Dellnitz, S. Klus, and A. Ziessler, “A Set-Oriented Numerical Approach for Dynamical Systems with Parameter Uncertainty,” <i>SIAM Journal on Applied Dynamical Systems</i>, pp. 120–138, 2017.","ama":"Dellnitz M, Klus S, Ziessler A. A Set-Oriented Numerical Approach for Dynamical Systems with Parameter Uncertainty. <i>SIAM Journal on Applied Dynamical Systems</i>. 2017:120-138. doi:<a href=\"https://doi.org/10.1137/16m1072735\">10.1137/16m1072735</a>"},"date_updated":"2022-01-06T06:52:52Z","author":[{"full_name":"Dellnitz, Michael","last_name":"Dellnitz","first_name":"Michael"},{"first_name":"Stefan","full_name":"Klus, Stefan","last_name":"Klus"},{"first_name":"Adrian","full_name":"Ziessler, Adrian","last_name":"Ziessler"}],"date_created":"2020-04-16T05:39:17Z","title":"A Set-Oriented Numerical Approach for Dynamical Systems with Parameter Uncertainty","doi":"10.1137/16m1072735","publication":"SIAM Journal on Applied Dynamical Systems","type":"journal_article","status":"public","_id":"16581","department":[{"_id":"101"}],"user_id":"15701","language":[{"iso":"eng"}]},{"language":[{"iso":"eng"}],"department":[{"_id":"101"}],"user_id":"15701","_id":"16657","status":"public","publication":"IFAC-PapersOnLine","type":"journal_article","doi":"10.1016/j.ifacol.2017.08.1526","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).","author":[{"last_name":"Peitz","full_name":"Peitz, Sebastian","first_name":"Sebastian"},{"first_name":"Kai","last_name":"Schäfer","full_name":"Schäfer, Kai"},{"first_name":"Sina","last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, Sina"},{"full_name":"Eckstein, Julian","last_name":"Eckstein","first_name":"Julian"},{"first_name":"Ulrich","full_name":"Köhler, Ulrich","last_name":"Köhler"},{"first_name":"Michael","full_name":"Dellnitz, Michael","last_name":"Dellnitz"}],"date_created":"2020-04-16T09:30:56Z","date_updated":"2022-01-06T06:52:53Z","page":"8674-8679","citation":{"chicago":"Peitz, Sebastian, Kai Schäfer, Sina Ober-Blöbaum, Julian Eckstein, Ulrich Köhler, and Michael Dellnitz. “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).” <i>IFAC-PapersOnLine</i>, 2017, 8674–79. <a href=\"https://doi.org/10.1016/j.ifacol.2017.08.1526\">https://doi.org/10.1016/j.ifacol.2017.08.1526</a>.","ieee":"S. Peitz, K. Schäfer, S. Ober-Blöbaum, J. Eckstein, U. Köhler, and M. Dellnitz, “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).,” <i>IFAC-PapersOnLine</i>, pp. 8674–8679, 2017.","ama":"Peitz S, Schäfer K, Ober-Blöbaum S, Eckstein J, Köhler U, Dellnitz M. 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). <i>IFAC-PapersOnLine</i>. 2017:8674-8679. doi:<a href=\"https://doi.org/10.1016/j.ifacol.2017.08.1526\">10.1016/j.ifacol.2017.08.1526</a>","apa":"Peitz, S., Schäfer, K., Ober-Blöbaum, S., Eckstein, J., Köhler, U., &#38; Dellnitz, M. (2017). 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). <i>IFAC-PapersOnLine</i>, 8674–8679. <a href=\"https://doi.org/10.1016/j.ifacol.2017.08.1526\">https://doi.org/10.1016/j.ifacol.2017.08.1526</a>","short":"S. Peitz, K. Schäfer, S. Ober-Blöbaum, J. Eckstein, U. Köhler, M. Dellnitz, IFAC-PapersOnLine (2017) 8674–8679.","bibtex":"@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={<a href=\"https://doi.org/10.1016/j.ifacol.2017.08.1526\">10.1016/j.ifacol.2017.08.1526</a>}, 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} }","mla":"Peitz, Sebastian, et al. “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).” <i>IFAC-PapersOnLine</i>, 2017, pp. 8674–79, doi:<a href=\"https://doi.org/10.1016/j.ifacol.2017.08.1526\">10.1016/j.ifacol.2017.08.1526</a>."},"year":"2017","publication_identifier":{"issn":["2405-8963"]},"publication_status":"published"}]