---
_id: '29427'
author:
- first_name: F.
  full_name: Jiménez, F.
  last_name: Jiménez
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  id: '16494'
  last_name: Ober-Blöbaum
citation:
  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).'
  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} }'
  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.
  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.
  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.
  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.'
corporate_editor:
- IFAC-PapersOnLine
date_created: 2022-01-18T14:55:51Z
date_updated: 2022-01-21T13:53:24Z
department:
- _id: '636'
language:
- iso: eng
page: 50-55
publication: 6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear
  Control LHMNC 2018
status: public
title: A fractional variational approach for modelling dissipative mechanical systems
  continuous and discrete settings
type: conference
user_id: '15694'
volume: 51(3)
year: '2018'
...
---
_id: '45974'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
citation:
  ama: Kovács B. <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>.
  bibtex: '@book{Kovács_2018, place={Tübingen, Germany}, title={Numerical analysis
    of partial differential equations on and of evolving surfaces}, author={Kovács,
    Balázs}, year={2018} }'
  chicago: Kovács, Balázs. <i>Numerical Analysis of Partial Differential Equations
    on and of Evolving Surfaces</i>. Tübingen, Germany, 2018.
  ieee: B. Kovács, <i>Numerical analysis of partial differential equations on and
    of evolving surfaces</i>. Tübingen, Germany, 2018.
  mla: Kovács, Balázs. <i>Numerical Analysis of Partial Differential Equations on
    and of Evolving Surfaces</i>. 2018.
  short: B. Kovács, Numerical Analysis of Partial Differential Equations on and of
    Evolving Surfaces, Tübingen, Germany, 2018.
date_created: 2023-07-10T12:37:48Z
date_updated: 2024-04-03T09:14:36Z
department:
- _id: '841'
extern: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://na.uni-tuebingen.de/~kovacs/BKovacs_habilitation.pdf
oa: '1'
place: Tübingen, Germany
publication_status: published
status: public
supervisor:
- first_name: Christian
  full_name: Lubich, Christian
  last_name: Lubich
title: Numerical analysis of partial differential equations on and of evolving surfaces
type: habilitation
user_id: '100441'
year: '2018'
...
---
_id: '45950'
abstract:
- lang: eng
  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>
author:
- first_name: János
  full_name: Karátson, János
  last_name: Karátson
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
- first_name: Sergey
  full_name: Korotov, Sergey
  last_name: Korotov
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>
  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>
  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} }'
  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>.
  short: J. Karátson, B. Kovács, S. Korotov, IMA Journal of Numerical Analysis 40
    (2018) 1241–1265.
date_created: 2023-07-10T11:41:27Z
date_updated: 2024-04-03T09:21:21Z
department:
- _id: '841'
doi: 10.1093/imanum/dry086
intvolume: '        40'
issue: '2'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
page: 1241-1265
publication: IMA Journal of Numerical Analysis
publication_identifier:
  issn:
  - 0272-4979
  - 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Discrete maximum principles for nonlinear elliptic finite element problems
  on surfaces with boundary
type: journal_article
user_id: '100441'
volume: 40
year: '2018'
...
---
_id: '45949'
abstract:
- lang: eng
  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>
author:
- first_name: János
  full_name: Karátson, János
  last_name: Karátson
- first_name: Balázs
  full_name: Kovács, Balázs
  last_name: Kovács
- first_name: Sergey
  full_name: Korotov, Sergey
  last_name: Korotov
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>
  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>
  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} }'
  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>.
  short: J. Karátson, B. Kovács, S. Korotov, IMA Journal of Numerical Analysis 40
    (2018) 1241–1265.
date_created: 2023-07-10T11:41:19Z
date_updated: 2024-04-03T09:21:29Z
department:
- _id: '841'
doi: 10.1093/imanum/dry086
intvolume: '        40'
issue: '2'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
page: 1241-1265
publication: IMA Journal of Numerical Analysis
publication_identifier:
  issn:
  - 0272-4979
  - 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Discrete maximum principles for nonlinear elliptic finite element problems
  on surfaces with boundary
type: journal_article
user_id: '100441'
volume: 40
year: '2018'
...
---
_id: '45947'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
- first_name: Christian
  full_name: Lubich, Christian
  last_name: Lubich
citation:
  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>
  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>
  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}
    }'
  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>.'
  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>.'
  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>.
  short: B. Kovács, C. Lubich, Numerische Mathematik 140 (2018) 121–152.
date_created: 2023-07-10T11:40:40Z
date_updated: 2024-04-03T09:21:48Z
department:
- _id: '841'
doi: 10.1007/s00211-018-0962-6
intvolume: '       140'
issue: '1'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 121-152
publication: Numerische Mathematik
publication_identifier:
  issn:
  - 0029-599X
  - 0945-3245
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Linearly implicit full discretization of surface evolution
type: journal_article
user_id: '100441'
volume: 140
year: '2018'
...
---
_id: '45951'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
citation:
  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>
  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>
  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} }'
  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>.'
  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>.
  short: B. Kovács, Numerical Methods for Partial Differential Equations 35 (2018)
    1093–1112.
date_created: 2023-07-10T11:41:54Z
date_updated: 2024-04-03T09:21:13Z
department:
- _id: '841'
doi: 10.1002/num.22340
intvolume: '        35'
issue: '3'
keyword:
- Applied Mathematics
- Computational Mathematics
- Numerical Analysis
- Analysis
language:
- iso: eng
page: 1093-1112
publication: Numerical Methods for Partial Differential Equations
publication_identifier:
  issn:
  - 0749-159X
  - 1098-2426
publication_status: published
publisher: Wiley
status: public
title: Computing arbitrary Lagrangian Eulerian maps for evolving surfaces
type: journal_article
user_id: '100441'
volume: 35
year: '2018'
...
---
_id: '55291'
author:
- first_name: Marc
  full_name: Technau, Marc
  id: '106108'
  last_name: Technau
  orcid: 0000-0001-9650-2459
citation:
  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>
  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>
  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} }'
  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>.'
  ieee: 'M. Technau, <i>On Beatty sets and some generalisations thereof</i>. Würzburg:
    University of Würzburg, 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>.
  short: M. Technau, On Beatty Sets and Some Generalisations Thereof, University of
    Würzburg, Würzburg, 2018.
date_created: 2024-07-16T11:09:19Z
date_updated: 2024-07-24T07:24:57Z
department:
- _id: '102'
doi: 10.25972/WUP-978-3-95826-089-4
extern: '1'
language:
- iso: eng
place: Würzburg
publisher: University of Würzburg
status: public
supervisor:
- first_name: Jörn
  full_name: Steuding, Jörn
  last_name: Steuding
title: On Beatty sets and some generalisations thereof
type: dissertation
user_id: '106108'
year: '2018'
...
---
_id: '34843'
abstract:
- lang: eng
  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."
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
citation:
  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>
  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>
  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} }'
  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>.'
  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>.'
  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.
date_created: 2022-12-22T10:52:18Z
date_updated: 2023-03-06T09:05:51Z
department:
- _id: '102'
doi: 10.1016/j.jsc.2018.04.013
external_id:
  arxiv:
  - '1610.06837 '
intvolume: '        93'
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 1-20
publication: Journal of Symbolic Computation
publication_identifier:
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: Computing subfields of number fields and applications to Galois group computations
type: journal_article
user_id: '93826'
volume: 93
year: '2018'
...
---
_id: '42788'
abstract:
- lang: eng
  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.
author:
- first_name: Markus
  full_name: Kirschmer, Markus
  id: '82258'
  last_name: Kirschmer
- first_name: Gabriele
  full_name: Nebe, Gabriele
  last_name: Nebe
citation:
  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>'
  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} }'
  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.'
  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.'
date_created: 2023-03-07T08:23:48Z
date_updated: 2023-04-04T09:08:19Z
department:
- _id: '102'
doi: 10.1007/978-3-319-70566-8_22
extern: '1'
language:
- iso: eng
place: Cham
publication: Algorithmic and Experimental Methods in Algebra, Geometry, and Number
  Theory
publication_identifier:
  isbn:
  - '9783319705651'
  - '9783319705668'
publication_status: published
publisher: Springer International Publishing
status: public
title: One Class Genera of Lattice Chains Over Number Fields
type: book_chapter
user_id: '93826'
year: '2018'
...
---
_id: '42790'
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.
author:
- first_name: Markus
  full_name: Kirschmer, Markus
  id: '82258'
  last_name: Kirschmer
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>
  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} }'
  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>.'
  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.
date_created: 2023-03-07T08:27:36Z
date_updated: 2023-04-04T09:07:32Z
department:
- _id: '102'
doi: 10.5802/jtnb.1052
extern: '1'
intvolume: '        30'
issue: '3'
keyword:
- Algebra and Number Theory
language:
- iso: eng
page: 847-857
publication: Journal de Théorie des Nombres de Bordeaux
publication_identifier:
  issn:
  - 1246-7405
  - 2118-8572
publication_status: published
publisher: Cellule MathDoc/CEDRAM
status: public
title: One-class genera of exceptional groups over number fields
type: journal_article
user_id: '93826'
volume: 30
year: '2018'
...
---
_id: '6571'
author:
- first_name: Benjamin
  full_name: Jurgelucks, Benjamin
  last_name: Jurgelucks
- first_name: Leander
  full_name: Claes, Leander
  id: '11829'
  last_name: Claes
  orcid: 0000-0002-4393-268X
- first_name: Andrea
  full_name: Walther, Andrea
  last_name: Walther
- first_name: Bernd
  full_name: Henning, Bernd
  id: '213'
  last_name: Henning
citation:
  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>
  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>
  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} }'
  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>.'
  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>.'
  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>.
  short: B. Jurgelucks, L. Claes, A. Walther, B. Henning, Optimization Methods and
    Software 33 (2018) 868--888.
date_created: 2019-01-09T14:37:20Z
date_updated: 2023-06-13T08:06:44Z
department:
- _id: '49'
- _id: '104'
doi: 10.1080/10556788.2018.1435652
intvolume: '        33'
issue: 4-6
language:
- iso: eng
page: 868--888
project:
- _id: '90'
  name: Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen
    Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums
publication: Optimization Methods and Software
publication_identifier:
  issn:
  - 1055-6788
publisher: Taylor and Francis Ltd.
quality_controlled: '1'
status: public
title: Optimization of triple-ring electrodes on piezoceramic transducers using algorithmic
  differentiation
type: journal_article
user_id: '11829'
volume: 33
year: '2018'
...
---
_id: '19940'
abstract:
- lang: eng
  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."
author:
- first_name: Christian
  full_name: Offen, Christian
  id: '85279'
  last_name: Offen
  orcid: https://orcid.org/0000-0002-5940-8057
citation:
  ama: Offen C. Local intersections of Lagrangian manifolds correspond to catastrophe 
    theory. <i>arXiv:181110165</i>.
  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}
    }'
  chicago: Offen, Christian. “Local Intersections of Lagrangian Manifolds Correspond
    to Catastrophe  Theory.” <i>ArXiv:1811.10165</i>, n.d.
  ieee: C. Offen, “Local intersections of Lagrangian manifolds correspond to catastrophe 
    theory,” <i>arXiv:1811.10165</i>. .
  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.).
date_created: 2020-10-06T16:32:45Z
date_updated: 2023-08-10T08:48:55Z
ddc:
- '510'
department:
- _id: '636'
external_id:
  arxiv:
  - '1811.10165'
file:
- access_level: open_access
  content_type: application/pdf
  creator: coffen
  date_created: 2021-12-21T16:01:03Z
  date_updated: 2021-12-21T16:01:03Z
  description: |-
    Two smooth map germs are right-equivalent if and only if they
    generate two Lagrangian submanifolds in a cotangent bundle which have the
    same contact with the zero-section. In this paper we provide a reverse direction
    to this classical result of Golubitsky and Guillemin. Two Lagrangian submanifolds of a symplectic manifold have the same contact with a third Lagrangian
    submanifold if and only if the intersection problems correspond to stably right
    equivalent map germs. We, therefore, obtain a correspondence between local
    Lagrangian intersection problems and catastrophe theory while the classical
    version only captures tangential intersections. The correspondence is defined
    independently of any Lagrangian fibration of the ambient symplectic manifold, in contrast to other classical results. Moreover, we provide an extension
    of the correspondence to families of local Lagrangian intersection problems.
    This gives rise to a framework which allows a natural transportation of the
    notions of catastrophe theory such as stability, unfolding and (uni-)versality
    to the geometric setting such that we obtain a classification of families of lo-
    cal Lagrangian intersection problems. An application is the classification of
    Lagrangian boundary value problems for symplectic maps.
  file_id: '29078'
  file_name: LocalLagrangianContact.pdf
  file_size: 662483
  relation: main_file
  title: Local intersections of Lagrangian manifolds correspond to catastrophe theory
file_date_updated: 2021-12-21T16:01:03Z
has_accepted_license: '1'
language:
- iso: eng
oa: '1'
publication: arXiv:1811.10165
publication_status: submitted
status: public
title: Local intersections of Lagrangian manifolds correspond to catastrophe  theory
type: preprint
user_id: '85279'
year: '2018'
...
---
_id: '19943'
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. '
article_type: original
author:
- first_name: Robert I
  full_name: McLachlan, Robert I
  last_name: McLachlan
- first_name: Christian
  full_name: Offen, Christian
  id: '85279'
  last_name: Offen
  orcid: https://orcid.org/0000-0002-5940-8057
citation:
  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>
  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} }'
  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>.'
  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.
date_created: 2020-10-06T16:39:08Z
date_updated: 2023-09-21T07:29:24Z
ddc:
- '510'
department:
- _id: '636'
doi: '10.53733/34 '
extern: '1'
external_id:
  arxiv:
  - '1804.07479'
file:
- access_level: open_access
  content_type: application/pdf
  creator: coffen
  date_created: 2020-10-06T16:49:29Z
  date_updated: 2020-10-07T14:04:01Z
  file_id: '19946'
  file_name: Hamiltonian_Boundary_Value_Problems,_Conformal_Symplectic_Symmetries,_and_Conjugate_Loci.pdf
  file_size: 3126111
  relation: main_file
  title: Hamiltonian Boundary Value Problems, Conformal Symplectic Symmetries, and
    Conjugate Loci
file_date_updated: 2020-10-07T14:04:01Z
has_accepted_license: '1'
intvolume: '        48'
keyword:
- Hamiltonian boundary value problems
- singularities
- conformal symplectic geometry
- catastrophe theory
- conjugate loci
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://nzjmath.org/index.php/NZJMATH/article/view/34
oa: '1'
page: 83-99
publication: New Zealand Journal of Mathematics
publication_status: published
quality_controlled: '1'
status: public
title: Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate
  loci
type: journal_article
user_id: '85279'
volume: 48
year: '2018'
...
---
_id: '21938'
article_number: '094104'
author:
- first_name: Feliks
  full_name: Nüske, Feliks
  id: '81513'
  last_name: Nüske
  orcid: 0000-0003-2444-7889
- first_name: Hao
  full_name: Wu, Hao
  last_name: Wu
- first_name: Jan-Hendrik
  full_name: Prinz, Jan-Hendrik
  last_name: Prinz
- first_name: Christoph
  full_name: Wehmeyer, Christoph
  last_name: Wehmeyer
- first_name: Cecilia
  full_name: Clementi, Cecilia
  last_name: Clementi
- first_name: Frank
  full_name: Noé, Frank
  last_name: Noé
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>
  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>
  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} }'
  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.
  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>.
  short: F. Nüske, H. Wu, J.-H. Prinz, C. Wehmeyer, C. Clementi, F. Noé, The Journal
    of Chemical Physics (2017).
date_created: 2021-04-30T16:55:31Z
date_updated: 2022-01-06T06:55:20Z
department:
- _id: '101'
doi: 10.1063/1.4976518
extern: '1'
language:
- iso: eng
publication: The Journal of Chemical Physics
publication_identifier:
  issn:
  - 0021-9606
  - 1089-7690
publication_status: published
status: public
title: Markov state models from short non-equilibrium simulations—Analysis and correction
  of estimation bias
type: journal_article
user_id: '81513'
year: '2017'
...
---
_id: '21939'
article_number: '154104'
author:
- first_name: Hao
  full_name: Wu, Hao
  last_name: Wu
- first_name: Feliks
  full_name: Nüske, Feliks
  id: '81513'
  last_name: Nüske
  orcid: 0000-0003-2444-7889
- first_name: Fabian
  full_name: Paul, Fabian
  last_name: Paul
- first_name: Stefan
  full_name: Klus, Stefan
  last_name: Klus
- first_name: Péter
  full_name: Koltai, Péter
  last_name: Koltai
- first_name: Frank
  full_name: Noé, Frank
  last_name: Noé
citation:
  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>'
  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>'
  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} }'
  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.'
  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>.'
  short: H. Wu, F. Nüske, F. Paul, S. Klus, P. Koltai, F. Noé, The Journal of Chemical
    Physics (2017).
date_created: 2021-04-30T16:57:21Z
date_updated: 2022-01-06T06:55:20Z
department:
- _id: '101'
doi: 10.1063/1.4979344
extern: '1'
language:
- iso: eng
publication: The Journal of Chemical Physics
publication_identifier:
  issn:
  - 0021-9606
  - 1089-7690
publication_status: published
status: public
title: 'Variational Koopman models: Slow collective variables and molecular kinetics
  from short off-equilibrium simulations'
type: journal_article
user_id: '81513'
year: '2017'
...
---
_id: '8752'
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.
author:
- first_name: Sebastian
  full_name: Peitz, Sebastian
  id: '47427'
  last_name: Peitz
  orcid: https://orcid.org/0000-0002-3389-793X
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
citation:
  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>'
  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>
  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} }'
  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.
  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>.
  short: 'S. Peitz, M. Dellnitz, in: NEO 2016, Cham, 2017, pp. 159–182.'
date_created: 2019-03-29T13:28:56Z
date_updated: 2022-01-06T07:04:00Z
department:
- _id: '101'
doi: 10.1007/978-3-319-64063-1_7
language:
- iso: eng
page: 159-182
place: Cham
project:
- _id: '52'
  name: Computing Resources Provided by the Paderborn Center for Parallel Computing
publication: NEO 2016
publication_identifier:
  isbn:
  - '9783319640624'
  - '9783319640631'
  issn:
  - 1860-949X
  - 1860-9503
publication_status: published
status: public
title: Gradient-Based Multiobjective Optimization with Uncertainties
type: conference
user_id: '47427'
year: '2017'
...
---
_id: '6572'
author:
- first_name: Benjamin
  full_name: Jurgelucks, Benjamin
  last_name: Jurgelucks
- first_name: Nadine
  full_name: Feldmann, Nadine
  id: '23082'
  last_name: Feldmann
- first_name: Leander
  full_name: Claes, Leander
  id: '11829'
  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
citation:
  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>'
  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>
  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} }'
  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>.
  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.
  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>.
  short: 'B. Jurgelucks, N. Feldmann, L. Claes, B. Henning, A. Walther, in: Proceedings
    of Meetings on Acoustics, Honolulu, 2017, p. 030010.'
date_created: 2019-01-09T14:37:21Z
date_updated: 2022-01-06T07:03:12Z
department:
- _id: '49'
- _id: '104'
doi: 10.1121/2.0000707
language:
- iso: eng
page: '030010'
place: Honolulu
project:
- _id: '90'
  name: Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen
    Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums
publication: Proceedings of Meetings on Acoustics
status: public
title: Material parameter determination of a piezoelectric disc with triple-ring-electrodes
  for increased sensitivity
type: conference
user_id: '23082'
year: '2017'
...
---
_id: '16540'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Stefan
  full_name: Klus, Stefan
  last_name: Klus
citation:
  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>
  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>
  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} }'
  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>.
  ieee: M. Dellnitz and S. Klus, “Sensing and control in symmetric networks,” <i>Dynamical
    Systems</i>, pp. 61–79, 2017.
  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.
date_created: 2020-04-15T08:40:29Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1080/14689367.2016.1215410
language:
- iso: eng
page: 61-79
publication: Dynamical Systems
publication_identifier:
  issn:
  - 1468-9367
  - 1468-9375
publication_status: published
status: public
title: Sensing and control in symmetric networks
type: journal_article
user_id: '15701'
year: '2017'
...
---
_id: '16581'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Stefan
  full_name: Klus, Stefan
  last_name: Klus
- first_name: Adrian
  full_name: Ziessler, Adrian
  last_name: Ziessler
citation:
  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>
  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} }'
  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.
  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.
date_created: 2020-04-16T05:39:17Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1137/16m1072735
language:
- iso: eng
page: 120-138
publication: SIAM Journal on Applied Dynamical Systems
publication_identifier:
  issn:
  - 1536-0040
publication_status: published
status: public
title: A Set-Oriented Numerical Approach for Dynamical Systems with Parameter Uncertainty
type: journal_article
user_id: '15701'
year: '2017'
...
---
_id: '16657'
author:
- first_name: Sebastian
  full_name: Peitz, Sebastian
  last_name: Peitz
- first_name: Kai
  full_name: Schäfer, Kai
  last_name: Schäfer
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  last_name: Ober-Blöbaum
- first_name: Julian
  full_name: Eckstein, Julian
  last_name: Eckstein
- first_name: Ulrich
  full_name: Köhler, Ulrich
  last_name: Köhler
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
citation:
  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>
  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} }'
  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.
  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>.
  short: S. Peitz, K. Schäfer, S. Ober-Blöbaum, J. Eckstein, U. Köhler, M. Dellnitz,
    IFAC-PapersOnLine (2017) 8674–8679.
date_created: 2020-04-16T09:30:56Z
date_updated: 2022-01-06T06:52:53Z
department:
- _id: '101'
doi: 10.1016/j.ifacol.2017.08.1526
language:
- iso: eng
page: 8674-8679
publication: IFAC-PapersOnLine
publication_identifier:
  issn:
  - 2405-8963
publication_status: published
status: public
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).
type: journal_article
user_id: '15701'
year: '2017'
...
