---
_id: '19937'
abstract:
- lang: eng
text: Symplectic integrators can be excellent for Hamiltonian initial value problems.
Reasons for this include their preservation of invariant sets like tori, good
energy behaviour, nonexistence of attractors, and good behaviour of statistical
properties. These all refer to {\em long-time} behaviour. They are directly connected
to the dynamical behaviour of symplectic maps φ:M→M' on the phase space under
iteration. Boundary value problems, in contrast, are posed for fixed (and often
quite short) times. Symplecticity manifests as a symplectic map φ:M→M' which is
not iterated. Is there any point, therefore, for a symplectic integrator to be
used on a Hamiltonian boundary value problem? In this paper we announce results
that symplectic integrators preserve bifurcations of Hamiltonian boundary value
problems and that nonsymplectic integrators do not.
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. Symplectic integration of boundary value problems. Numerical
Algorithms. 2018:1219-1233. doi:10.1007/s11075-018-0599-7
apa: McLachlan, R. I., & Offen, C. (2018). Symplectic integration of boundary
value problems. Numerical Algorithms, 1219–1233. https://doi.org/10.1007/s11075-018-0599-7
bibtex: '@article{McLachlan_Offen_2018, title={Symplectic integration of boundary
value problems}, DOI={10.1007/s11075-018-0599-7},
journal={Numerical Algorithms}, author={McLachlan, Robert I and Offen, Christian},
year={2018}, pages={1219–1233} }'
chicago: McLachlan, Robert I, and Christian Offen. “Symplectic Integration of Boundary
Value Problems.” Numerical Algorithms, 2018, 1219–33. https://doi.org/10.1007/s11075-018-0599-7.
ieee: R. I. McLachlan and C. Offen, “Symplectic integration of boundary value problems,”
Numerical Algorithms, pp. 1219–1233, 2018.
mla: McLachlan, Robert I., and Christian Offen. “Symplectic Integration of Boundary
Value Problems.” Numerical Algorithms, 2018, pp. 1219–33, doi:10.1007/s11075-018-0599-7.
short: R.I. McLachlan, C. Offen, Numerical Algorithms (2018) 1219–1233.
date_created: 2020-10-06T16:29:14Z
date_updated: 2022-01-06T06:54:14Z
department:
- _id: '636'
doi: 10.1007/s11075-018-0599-7
extern: '1'
language:
- iso: eng
main_file_link:
- url: https://rdcu.be/b79ap
page: 1219-1233
publication: Numerical Algorithms
publication_identifier:
issn:
- 1017-1398
- 1572-9265
publication_status: published
status: public
title: Symplectic integration of boundary value problems
type: journal_article
user_id: '85279'
year: '2018'
...
---
_id: '21634'
abstract:
- lang: eng
text: "Predictive control of power electronic systems always requires a suitable\r\nmodel
of the plant. Using typical physics-based white box models, a trade-off\r\nbetween
model complexity (i.e. accuracy) and computational burden has to be\r\nmade. This
is a challenging task with a lot of constraints, since the model\r\norder is directly
linked to the number of system states. Even though white-box\r\nmodels show suitable
performance in most cases, parasitic real-world effects\r\noften cannot be modeled
satisfactorily with an expedient computational load.\r\nHence, a Koopman operator-based
model reduction technique is presented which\r\ndirectly links the control action
to the system's outputs in a black-box\r\nfashion. The Koopman operator is a linear
but infinite-dimensional operator\r\ndescribing the dynamics of observables of
nonlinear autonomous dynamical\r\nsystems which can be nicely applied to the switching
principle of power\r\nelectronic devices. Following this data-driven approach,
the model order and\r\nthe number of system states are decoupled which allows
us to consider more\r\ncomplex systems. Extensive experimental tests with an automotive-type
permanent\r\nmagnet synchronous motor fed by an IGBT 2-level inverter prove the
feasibility\r\nof the proposed modeling technique in a finite-set model predictive
control\r\napplication."
author:
- first_name: Sören
full_name: Hanke, Sören
last_name: Hanke
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: 0000-0002-3389-793X
- first_name: Oliver
full_name: Wallscheid, Oliver
last_name: Wallscheid
- first_name: Stefan
full_name: Klus, Stefan
last_name: Klus
- first_name: Joachim
full_name: Böcker, Joachim
last_name: Böcker
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
citation:
ama: Hanke S, Peitz S, Wallscheid O, Klus S, Böcker J, Dellnitz M. Koopman Operator-Based
Finite-Control-Set Model Predictive Control for Electrical Drives. arXiv:180400854.
2018.
apa: Hanke, S., Peitz, S., Wallscheid, O., Klus, S., Böcker, J., & Dellnitz,
M. (2018). Koopman Operator-Based Finite-Control-Set Model Predictive Control
for Electrical Drives. ArXiv:1804.00854.
bibtex: '@article{Hanke_Peitz_Wallscheid_Klus_Böcker_Dellnitz_2018, title={Koopman
Operator-Based Finite-Control-Set Model Predictive Control for Electrical Drives},
journal={arXiv:1804.00854}, author={Hanke, Sören and Peitz, Sebastian and Wallscheid,
Oliver and Klus, Stefan and Böcker, Joachim and Dellnitz, Michael}, year={2018}
}'
chicago: Hanke, Sören, Sebastian Peitz, Oliver Wallscheid, Stefan Klus, Joachim
Böcker, and Michael Dellnitz. “Koopman Operator-Based Finite-Control-Set Model
Predictive Control for Electrical Drives.” ArXiv:1804.00854, 2018.
ieee: S. Hanke, S. Peitz, O. Wallscheid, S. Klus, J. Böcker, and M. Dellnitz, “Koopman
Operator-Based Finite-Control-Set Model Predictive Control for Electrical Drives,”
arXiv:1804.00854. 2018.
mla: Hanke, Sören, et al. “Koopman Operator-Based Finite-Control-Set Model Predictive
Control for Electrical Drives.” ArXiv:1804.00854, 2018.
short: S. Hanke, S. Peitz, O. Wallscheid, S. Klus, J. Böcker, M. Dellnitz, ArXiv:1804.00854
(2018).
date_created: 2021-04-19T16:17:30Z
date_updated: 2022-01-06T06:55:08Z
department:
- _id: '101'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/1804.00854.pdf
oa: '1'
publication: arXiv:1804.00854
status: public
title: Koopman Operator-Based Finite-Control-Set Model Predictive Control for Electrical
Drives
type: preprint
user_id: '47427'
year: '2018'
...
---
_id: '21940'
author:
- first_name: Florian
full_name: Litzinger, Florian
last_name: Litzinger
- first_name: Lorenzo
full_name: Boninsegna, Lorenzo
last_name: Boninsegna
- 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: Raajen
full_name: Patel, Raajen
last_name: Patel
- first_name: Richard
full_name: Baraniuk, Richard
last_name: Baraniuk
- first_name: Frank
full_name: Noé, Frank
last_name: Noé
- first_name: Cecilia
full_name: Clementi, Cecilia
last_name: Clementi
citation:
ama: Litzinger F, Boninsegna L, Wu H, et al. Rapid Calculation of Molecular Kinetics
Using Compressed Sensing. Journal of Chemical Theory and Computation. 2018:2771-2783.
doi:10.1021/acs.jctc.8b00089
apa: Litzinger, F., Boninsegna, L., Wu, H., Nüske, F., Patel, R., Baraniuk, R.,
… Clementi, C. (2018). Rapid Calculation of Molecular Kinetics Using Compressed
Sensing. Journal of Chemical Theory and Computation, 2771–2783. https://doi.org/10.1021/acs.jctc.8b00089
bibtex: '@article{Litzinger_Boninsegna_Wu_Nüske_Patel_Baraniuk_Noé_Clementi_2018,
title={Rapid Calculation of Molecular Kinetics Using Compressed Sensing}, DOI={10.1021/acs.jctc.8b00089},
journal={Journal of Chemical Theory and Computation}, author={Litzinger, Florian
and Boninsegna, Lorenzo and Wu, Hao and Nüske, Feliks and Patel, Raajen and Baraniuk,
Richard and Noé, Frank and Clementi, Cecilia}, year={2018}, pages={2771–2783}
}'
chicago: Litzinger, Florian, Lorenzo Boninsegna, Hao Wu, Feliks Nüske, Raajen Patel,
Richard Baraniuk, Frank Noé, and Cecilia Clementi. “Rapid Calculation of Molecular
Kinetics Using Compressed Sensing.” Journal of Chemical Theory and Computation,
2018, 2771–83. https://doi.org/10.1021/acs.jctc.8b00089.
ieee: F. Litzinger et al., “Rapid Calculation of Molecular Kinetics Using
Compressed Sensing,” Journal of Chemical Theory and Computation, pp. 2771–2783,
2018.
mla: Litzinger, Florian, et al. “Rapid Calculation of Molecular Kinetics Using Compressed
Sensing.” Journal of Chemical Theory and Computation, 2018, pp. 2771–83,
doi:10.1021/acs.jctc.8b00089.
short: F. Litzinger, L. Boninsegna, H. Wu, F. Nüske, R. Patel, R. Baraniuk, F. Noé,
C. Clementi, Journal of Chemical Theory and Computation (2018) 2771–2783.
date_created: 2021-04-30T16:58:07Z
date_updated: 2022-01-06T06:55:20Z
department:
- _id: '101'
doi: 10.1021/acs.jctc.8b00089
extern: '1'
language:
- iso: eng
page: 2771-2783
publication: Journal of Chemical Theory and Computation
publication_identifier:
issn:
- 1549-9618
- 1549-9626
publication_status: published
status: public
title: Rapid Calculation of Molecular Kinetics Using Compressed Sensing
type: journal_article
user_id: '81513'
year: '2018'
...
---
_id: '21941'
author:
- first_name: Stefan
full_name: Klus, Stefan
last_name: Klus
- first_name: Feliks
full_name: Nüske, Feliks
id: '81513'
last_name: Nüske
orcid: 0000-0003-2444-7889
- first_name: Péter
full_name: Koltai, Péter
last_name: Koltai
- first_name: Hao
full_name: Wu, Hao
last_name: Wu
- first_name: Ioannis
full_name: Kevrekidis, Ioannis
last_name: Kevrekidis
- first_name: Christof
full_name: Schütte, Christof
last_name: Schütte
- first_name: Frank
full_name: Noé, Frank
last_name: Noé
citation:
ama: Klus S, Nüske F, Koltai P, et al. Data-Driven Model Reduction and Transfer
Operator Approximation. Journal of Nonlinear Science. 2018:985-1010. doi:10.1007/s00332-017-9437-7
apa: Klus, S., Nüske, F., Koltai, P., Wu, H., Kevrekidis, I., Schütte, C., &
Noé, F. (2018). Data-Driven Model Reduction and Transfer Operator Approximation.
Journal of Nonlinear Science, 985–1010. https://doi.org/10.1007/s00332-017-9437-7
bibtex: '@article{Klus_Nüske_Koltai_Wu_Kevrekidis_Schütte_Noé_2018, title={Data-Driven
Model Reduction and Transfer Operator Approximation}, DOI={10.1007/s00332-017-9437-7},
journal={Journal of Nonlinear Science}, author={Klus, Stefan and Nüske, Feliks
and Koltai, Péter and Wu, Hao and Kevrekidis, Ioannis and Schütte, Christof and
Noé, Frank}, year={2018}, pages={985–1010} }'
chicago: Klus, Stefan, Feliks Nüske, Péter Koltai, Hao Wu, Ioannis Kevrekidis, Christof
Schütte, and Frank Noé. “Data-Driven Model Reduction and Transfer Operator Approximation.”
Journal of Nonlinear Science, 2018, 985–1010. https://doi.org/10.1007/s00332-017-9437-7.
ieee: S. Klus et al., “Data-Driven Model Reduction and Transfer Operator
Approximation,” Journal of Nonlinear Science, pp. 985–1010, 2018.
mla: Klus, Stefan, et al. “Data-Driven Model Reduction and Transfer Operator Approximation.”
Journal of Nonlinear Science, 2018, pp. 985–1010, doi:10.1007/s00332-017-9437-7.
short: S. Klus, F. Nüske, P. Koltai, H. Wu, I. Kevrekidis, C. Schütte, F. Noé, Journal
of Nonlinear Science (2018) 985–1010.
date_created: 2021-04-30T16:59:03Z
date_updated: 2022-01-06T06:55:20Z
department:
- _id: '101'
doi: 10.1007/s00332-017-9437-7
extern: '1'
language:
- iso: eng
page: 985-1010
publication: Journal of Nonlinear Science
publication_identifier:
issn:
- 0938-8974
- 1432-1467
publication_status: published
status: public
title: Data-Driven Model Reduction and Transfer Operator Approximation
type: journal_article
user_id: '81513'
year: '2018'
...
---
_id: '21942'
article_number: '241723'
author:
- first_name: Lorenzo
full_name: Boninsegna, Lorenzo
last_name: Boninsegna
- first_name: Feliks
full_name: Nüske, Feliks
id: '81513'
last_name: Nüske
orcid: 0000-0003-2444-7889
- first_name: Cecilia
full_name: Clementi, Cecilia
last_name: Clementi
citation:
ama: Boninsegna L, Nüske F, Clementi C. Sparse learning of stochastic dynamical
equations. The Journal of Chemical Physics. 2018. doi:10.1063/1.5018409
apa: Boninsegna, L., Nüske, F., & Clementi, C. (2018). Sparse learning of stochastic
dynamical equations. The Journal of Chemical Physics. https://doi.org/10.1063/1.5018409
bibtex: '@article{Boninsegna_Nüske_Clementi_2018, title={Sparse learning of stochastic
dynamical equations}, DOI={10.1063/1.5018409},
number={241723}, journal={The Journal of Chemical Physics}, author={Boninsegna,
Lorenzo and Nüske, Feliks and Clementi, Cecilia}, year={2018} }'
chicago: Boninsegna, Lorenzo, Feliks Nüske, and Cecilia Clementi. “Sparse Learning
of Stochastic Dynamical Equations.” The Journal of Chemical Physics, 2018.
https://doi.org/10.1063/1.5018409.
ieee: L. Boninsegna, F. Nüske, and C. Clementi, “Sparse learning of stochastic dynamical
equations,” The Journal of Chemical Physics, 2018.
mla: Boninsegna, Lorenzo, et al. “Sparse Learning of Stochastic Dynamical Equations.”
The Journal of Chemical Physics, 241723, 2018, doi:10.1063/1.5018409.
short: L. Boninsegna, F. Nüske, C. Clementi, The Journal of Chemical Physics (2018).
date_created: 2021-04-30T16:59:39Z
date_updated: 2022-01-06T06:55:20Z
department:
- _id: '101'
doi: 10.1063/1.5018409
extern: '1'
language:
- iso: eng
publication: The Journal of Chemical Physics
publication_identifier:
issn:
- 0021-9606
- 1089-7690
publication_status: published
status: public
title: Sparse learning of stochastic dynamical equations
type: journal_article
user_id: '81513'
year: '2018'
...
---
_id: '21943'
article_number: '244119'
author:
- first_name: Eugen
full_name: Hruska, Eugen
last_name: Hruska
- first_name: Jayvee R.
full_name: Abella, Jayvee R.
last_name: Abella
- first_name: Feliks
full_name: Nüske, Feliks
id: '81513'
last_name: Nüske
orcid: 0000-0003-2444-7889
- first_name: Lydia E.
full_name: Kavraki, Lydia E.
last_name: Kavraki
- first_name: Cecilia
full_name: Clementi, Cecilia
last_name: Clementi
citation:
ama: Hruska E, Abella JR, Nüske F, Kavraki LE, Clementi C. Quantitative comparison
of adaptive sampling methods for protein dynamics. The Journal of Chemical
Physics. 2018. doi:10.1063/1.5053582
apa: Hruska, E., Abella, J. R., Nüske, F., Kavraki, L. E., & Clementi, C. (2018).
Quantitative comparison of adaptive sampling methods for protein dynamics. The
Journal of Chemical Physics. https://doi.org/10.1063/1.5053582
bibtex: '@article{Hruska_Abella_Nüske_Kavraki_Clementi_2018, title={Quantitative
comparison of adaptive sampling methods for protein dynamics}, DOI={10.1063/1.5053582},
number={244119}, journal={The Journal of Chemical Physics}, author={Hruska, Eugen
and Abella, Jayvee R. and Nüske, Feliks and Kavraki, Lydia E. and Clementi, Cecilia},
year={2018} }'
chicago: Hruska, Eugen, Jayvee R. Abella, Feliks Nüske, Lydia E. Kavraki, and Cecilia
Clementi. “Quantitative Comparison of Adaptive Sampling Methods for Protein Dynamics.”
The Journal of Chemical Physics, 2018. https://doi.org/10.1063/1.5053582.
ieee: E. Hruska, J. R. Abella, F. Nüske, L. E. Kavraki, and C. Clementi, “Quantitative
comparison of adaptive sampling methods for protein dynamics,” The Journal
of Chemical Physics, 2018.
mla: Hruska, Eugen, et al. “Quantitative Comparison of Adaptive Sampling Methods
for Protein Dynamics.” The Journal of Chemical Physics, 244119, 2018, doi:10.1063/1.5053582.
short: E. Hruska, J.R. Abella, F. Nüske, L.E. Kavraki, C. Clementi, The Journal
of Chemical Physics (2018).
date_created: 2021-04-30T17:00:24Z
date_updated: 2022-01-06T06:55:20Z
department:
- _id: '101'
doi: 10.1063/1.5053582
extern: '1'
language:
- iso: eng
publication: The Journal of Chemical Physics
publication_identifier:
issn:
- 0021-9606
- 1089-7690
publication_status: published
status: public
title: Quantitative comparison of adaptive sampling methods for protein dynamics
type: journal_article
user_id: '81513'
year: '2018'
...
---
_id: '7766'
author:
- first_name: Jan
full_name: Schumacher, Jan
id: '26809'
last_name: Schumacher
orcid: 0000-0002-6676-9774
citation:
ama: 'Schumacher J. Semiotische Analyse von Sinnkonstruktionsprozessen bei einem
innermathematischen Zugang zum Erlernen negativer Zahlen. In: Fachgruppe Didaktik
der Mathematik der Universität Paderborn, ed. Beiträge zum Mathematikunterricht
2018. Münster: WTM-Verlag; 2018.'
apa: 'Schumacher, J. (2018). Semiotische Analyse von Sinnkonstruktionsprozessen
bei einem innermathematischen Zugang zum Erlernen negativer Zahlen. In Fachgruppe
Didaktik der Mathematik der Universität Paderborn (Ed.), Beiträge zum Mathematikunterricht
2018. Münster: WTM-Verlag.'
bibtex: '@inproceedings{Schumacher_2018, place={Münster}, title={Semiotische Analyse
von Sinnkonstruktionsprozessen bei einem innermathematischen Zugang zum Erlernen
negativer Zahlen}, booktitle={Beiträge zum Mathematikunterricht 2018}, publisher={WTM-Verlag},
author={Schumacher, Jan}, editor={Fachgruppe Didaktik der Mathematik der Universität
PaderbornEditor}, year={2018} }'
chicago: 'Schumacher, Jan. “Semiotische Analyse von Sinnkonstruktionsprozessen bei
einem innermathematischen Zugang zum Erlernen negativer Zahlen.” In Beiträge
zum Mathematikunterricht 2018, edited by Fachgruppe Didaktik der Mathematik
der Universität Paderborn. Münster: WTM-Verlag, 2018.'
ieee: J. Schumacher, “Semiotische Analyse von Sinnkonstruktionsprozessen bei einem
innermathematischen Zugang zum Erlernen negativer Zahlen,” in Beiträge zum
Mathematikunterricht 2018, 2018.
mla: Schumacher, Jan. “Semiotische Analyse von Sinnkonstruktionsprozessen bei einem
innermathematischen Zugang zum Erlernen negativer Zahlen.” Beiträge zum Mathematikunterricht
2018, edited by Fachgruppe Didaktik der Mathematik der Universität Paderborn,
WTM-Verlag, 2018.
short: 'J. Schumacher, in: Fachgruppe Didaktik der Mathematik der Universität Paderborn
(Ed.), Beiträge zum Mathematikunterricht 2018, WTM-Verlag, Münster, 2018.'
corporate_editor:
- Fachgruppe Didaktik der Mathematik der Universität Paderborn
date_created: 2019-02-19T12:43:35Z
date_updated: 2022-01-06T07:03:45Z
department:
- _id: '360'
language:
- iso: ger
main_file_link:
- open_access: '1'
url: https://eldorado.tu-dortmund.de/handle/2003/37695
oa: '1'
place: Münster
publication: Beiträge zum Mathematikunterricht 2018
publication_status: published
publisher: WTM-Verlag
status: public
title: Semiotische Analyse von Sinnkonstruktionsprozessen bei einem innermathematischen
Zugang zum Erlernen negativer Zahlen
type: conference
user_id: '26809'
year: '2018'
...
---
_id: '8573'
author:
- first_name: Michael
full_name: Liebendörfer, Michael
id: '30933'
last_name: Liebendörfer
orcid: 0000-0001-9887-2074
citation:
ama: 'Liebendörfer M. Psychologische Grundbedürfnisse im frühen Mathematikstudium.
In: Didaktik der Mathematik der Universität Paderborn F, ed. Beiträge Zum Mathematikunterricht
2018. Münster: WTM-Verlag; 2018:1171-1174.'
apa: 'Liebendörfer, M. (2018). Psychologische Grundbedürfnisse im frühen Mathematikstudium.
In F. Didaktik der Mathematik der Universität Paderborn (Ed.), Beiträge zum
Mathematikunterricht 2018 (pp. 1171–1174). Münster: WTM-Verlag.'
bibtex: '@inbook{Liebendörfer_2018, place={Münster}, title={Psychologische Grundbedürfnisse
im frühen Mathematikstudium}, booktitle={Beiträge zum Mathematikunterricht 2018},
publisher={WTM-Verlag}, author={Liebendörfer, Michael}, editor={Didaktik der Mathematik
der Universität Paderborn, FachgruppeEditor}, year={2018}, pages={1171–1174} }'
chicago: 'Liebendörfer, Michael. “Psychologische Grundbedürfnisse Im Frühen Mathematikstudium.”
In Beiträge Zum Mathematikunterricht 2018, edited by Fachgruppe Didaktik
der Mathematik der Universität Paderborn, 1171–74. Münster: WTM-Verlag, 2018.'
ieee: 'M. Liebendörfer, “Psychologische Grundbedürfnisse im frühen Mathematikstudium,”
in Beiträge zum Mathematikunterricht 2018, F. Didaktik der Mathematik der
Universität Paderborn, Ed. Münster: WTM-Verlag, 2018, pp. 1171–1174.'
mla: Liebendörfer, Michael. “Psychologische Grundbedürfnisse Im Frühen Mathematikstudium.”
Beiträge Zum Mathematikunterricht 2018, edited by Fachgruppe Didaktik der
Mathematik der Universität Paderborn, WTM-Verlag, 2018, pp. 1171–74.
short: 'M. Liebendörfer, in: F. Didaktik der Mathematik der Universität Paderborn
(Ed.), Beiträge Zum Mathematikunterricht 2018, WTM-Verlag, Münster, 2018, pp.
1171–1174.'
date_created: 2019-03-25T15:35:39Z
date_updated: 2022-01-06T07:03:57Z
department:
- _id: '10'
editor:
- first_name: Fachgruppe
full_name: Didaktik der Mathematik der Universität Paderborn, Fachgruppe
last_name: Didaktik der Mathematik der Universität Paderborn
extern: '1'
language:
- iso: eng
page: 1171-1174
place: Münster
publication: Beiträge zum Mathematikunterricht 2018
publisher: WTM-Verlag
status: public
title: Psychologische Grundbedürfnisse im frühen Mathematikstudium
type: book_chapter
user_id: '30933'
year: '2018'
...
---
_id: '8574'
author:
- first_name: Michael
full_name: Liebendörfer, Michael
id: '30933'
last_name: Liebendörfer
orcid: 0000-0001-9887-2074
- first_name: Christiane
full_name: Kuklinski, Christiane
last_name: Kuklinski
- first_name: Reinhard
full_name: Hochmuth, Reinhard
last_name: Hochmuth
citation:
ama: 'Liebendörfer M, Kuklinski C, Hochmuth R. Auswirkungen von innovativen Vorlesungen
für Lehramtsstudierende in der Studieneingangsphase. In: Didaktik der Mathematik
der Universität Paderborn F, ed. Beiträge Zum Mathematikunterricht 2018.
Münster: WTM-Verlag; 2018:1175-1178.'
apa: 'Liebendörfer, M., Kuklinski, C., & Hochmuth, R. (2018). Auswirkungen von
innovativen Vorlesungen für Lehramtsstudierende in der Studieneingangsphase. In
F. Didaktik der Mathematik der Universität Paderborn (Ed.), Beiträge zum Mathematikunterricht
2018 (pp. 1175–1178). Münster: WTM-Verlag.'
bibtex: '@inbook{Liebendörfer_Kuklinski_Hochmuth_2018, place={Münster}, title={Auswirkungen
von innovativen Vorlesungen für Lehramtsstudierende in der Studieneingangsphase},
booktitle={Beiträge zum Mathematikunterricht 2018}, publisher={WTM-Verlag}, author={Liebendörfer,
Michael and Kuklinski, Christiane and Hochmuth, Reinhard}, editor={Didaktik der
Mathematik der Universität Paderborn, FachgruppeEditor}, year={2018}, pages={1175–1178}
}'
chicago: 'Liebendörfer, Michael, Christiane Kuklinski, and Reinhard Hochmuth. “Auswirkungen
von Innovativen Vorlesungen Für Lehramtsstudierende in Der Studieneingangsphase.”
In Beiträge Zum Mathematikunterricht 2018, edited by Fachgruppe Didaktik
der Mathematik der Universität Paderborn, 1175–78. Münster: WTM-Verlag, 2018.'
ieee: 'M. Liebendörfer, C. Kuklinski, and R. Hochmuth, “Auswirkungen von innovativen
Vorlesungen für Lehramtsstudierende in der Studieneingangsphase,” in Beiträge
zum Mathematikunterricht 2018, F. Didaktik der Mathematik der Universität
Paderborn, Ed. Münster: WTM-Verlag, 2018, pp. 1175–1178.'
mla: Liebendörfer, Michael, et al. “Auswirkungen von Innovativen Vorlesungen Für
Lehramtsstudierende in Der Studieneingangsphase.” Beiträge Zum Mathematikunterricht
2018, edited by Fachgruppe Didaktik der Mathematik der Universität Paderborn,
WTM-Verlag, 2018, pp. 1175–78.
short: 'M. Liebendörfer, C. Kuklinski, R. Hochmuth, in: F. Didaktik der Mathematik
der Universität Paderborn (Ed.), Beiträge Zum Mathematikunterricht 2018, WTM-Verlag,
Münster, 2018, pp. 1175–1178.'
date_created: 2019-03-25T15:35:40Z
date_updated: 2022-01-06T07:03:57Z
department:
- _id: '10'
editor:
- first_name: Fachgruppe
full_name: Didaktik der Mathematik der Universität Paderborn, Fachgruppe
last_name: Didaktik der Mathematik der Universität Paderborn
extern: '1'
language:
- iso: eng
page: 1175-1178
place: Münster
publication: Beiträge zum Mathematikunterricht 2018
publisher: WTM-Verlag
status: public
title: Auswirkungen von innovativen Vorlesungen für Lehramtsstudierende in der Studieneingangsphase
type: book_chapter
user_id: '30933'
year: '2018'
...
---
_id: '8576'
author:
- first_name: Michael
full_name: Liebendörfer, Michael
id: '30933'
last_name: Liebendörfer
orcid: 0000-0001-9887-2074
citation:
ama: 'Liebendörfer M. Motivationsentwicklung Im Mathematikstudium. Wiesbaden:
Springer Fachmedien Wiesbaden; 2018. doi:10.1007/978-3-658-22507-0'
apa: 'Liebendörfer, M. (2018). Motivationsentwicklung im Mathematikstudium.
Wiesbaden: Springer Fachmedien Wiesbaden. https://doi.org/10.1007/978-3-658-22507-0'
bibtex: '@book{Liebendörfer_2018, place={Wiesbaden}, series={Studien zur {Hochschuldidaktik}
und zum {Lehren} und {Lernen} mit digitalen {Medien} in der {Mathematik} und in
der {Statistik}}, title={Motivationsentwicklung im Mathematikstudium}, DOI={10.1007/978-3-658-22507-0},
publisher={Springer Fachmedien Wiesbaden}, author={Liebendörfer, Michael}, year={2018},
collection={Studien zur {Hochschuldidaktik} und zum {Lehren} und {Lernen} mit
digitalen {Medien} in der {Mathematik} und in der {Statistik}} }'
chicago: 'Liebendörfer, Michael. Motivationsentwicklung Im Mathematikstudium.
Studien Zur {Hochschuldidaktik} Und Zum {Lehren} Und {Lernen} Mit Digitalen {Medien}
in Der {Mathematik} Und in Der {Statistik}. Wiesbaden: Springer Fachmedien Wiesbaden,
2018. https://doi.org/10.1007/978-3-658-22507-0.'
ieee: 'M. Liebendörfer, Motivationsentwicklung im Mathematikstudium. Wiesbaden:
Springer Fachmedien Wiesbaden, 2018.'
mla: Liebendörfer, Michael. Motivationsentwicklung Im Mathematikstudium.
Springer Fachmedien Wiesbaden, 2018, doi:10.1007/978-3-658-22507-0.
short: M. Liebendörfer, Motivationsentwicklung Im Mathematikstudium, Springer Fachmedien
Wiesbaden, Wiesbaden, 2018.
date_created: 2019-03-25T15:35:43Z
date_updated: 2022-01-06T07:03:57Z
department:
- _id: '10'
doi: 10.1007/978-3-658-22507-0
extern: '1'
language:
- iso: eng
place: Wiesbaden
publication_identifier:
isbn:
- 978-3-658-22506-3 978-3-658-22507-0
publisher: Springer Fachmedien Wiesbaden
series_title: Studien zur {Hochschuldidaktik} und zum {Lehren} und {Lernen} mit digitalen
{Medien} in der {Mathematik} und in der {Statistik}
status: public
title: Motivationsentwicklung im Mathematikstudium
type: book
user_id: '30933'
year: '2018'
...
---
_id: '8750'
abstract:
- lang: eng
text: In this article we propose a descent method for equality and inequality constrained
multiobjective optimization problems (MOPs) which generalizes the steepest descent
method for unconstrained MOPs by Fliege and Svaiter to constrained problems by
using two active set strategies. Under some regularity assumptions on the problem,
we show that accumulation points of our descent method satisfy a necessary condition
for local Pareto optimality. Finally, we show the typical behavior of our method
in a numerical example.
author:
- first_name: Bennet
full_name: Gebken, Bennet
id: '32643'
last_name: Gebken
- 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: 'Gebken B, Peitz S, Dellnitz M. A Descent Method for Equality and Inequality
Constrained Multiobjective Optimization Problems. In: Numerical and Evolutionary
Optimization – NEO 2017. Cham; 2018. doi:10.1007/978-3-319-96104-0_2'
apa: Gebken, B., Peitz, S., & Dellnitz, M. (2018). A Descent Method for Equality
and Inequality Constrained Multiobjective Optimization Problems. In Numerical
and Evolutionary Optimization – NEO 2017. Cham. https://doi.org/10.1007/978-3-319-96104-0_2
bibtex: '@inproceedings{Gebken_Peitz_Dellnitz_2018, place={Cham}, title={A Descent
Method for Equality and Inequality Constrained Multiobjective Optimization Problems},
DOI={10.1007/978-3-319-96104-0_2},
booktitle={Numerical and Evolutionary Optimization – NEO 2017}, author={Gebken,
Bennet and Peitz, Sebastian and Dellnitz, Michael}, year={2018} }'
chicago: Gebken, Bennet, Sebastian Peitz, and Michael Dellnitz. “A Descent Method
for Equality and Inequality Constrained Multiobjective Optimization Problems.”
In Numerical and Evolutionary Optimization – NEO 2017. Cham, 2018. https://doi.org/10.1007/978-3-319-96104-0_2.
ieee: B. Gebken, S. Peitz, and M. Dellnitz, “A Descent Method for Equality and Inequality
Constrained Multiobjective Optimization Problems,” in Numerical and Evolutionary
Optimization – NEO 2017, 2018.
mla: Gebken, Bennet, et al. “A Descent Method for Equality and Inequality Constrained
Multiobjective Optimization Problems.” Numerical and Evolutionary Optimization
– NEO 2017, 2018, doi:10.1007/978-3-319-96104-0_2.
short: 'B. Gebken, S. Peitz, M. Dellnitz, in: Numerical and Evolutionary Optimization
– NEO 2017, Cham, 2018.'
conference:
name: 'NEO 2017: Numerical and Evolutionary Optimization'
date_created: 2019-03-29T13:26:47Z
date_updated: 2022-01-06T07:04:00Z
department:
- _id: '101'
doi: 10.1007/978-3-319-96104-0_2
language:
- iso: eng
place: Cham
publication: Numerical and Evolutionary Optimization – NEO 2017
publication_identifier:
isbn:
- '9783319961033'
- '9783319961040'
issn:
- 1860-949X
- 1860-9503
publication_status: published
status: public
title: A Descent Method for Equality and Inequality Constrained Multiobjective Optimization
Problems
type: conference
user_id: '47427'
year: '2018'
...
---
_id: '8751'
abstract:
- lang: eng
text: Multiobjective optimization plays an increasingly important role in modern
applications, where several criteria are often of equal importance. The task in
multiobjective optimization and multiobjective optimal control is therefore to
compute the set of optimal compromises (the Pareto set) between the conflicting
objectives. The advances in algorithms and the increasing interest in Pareto-optimal
solutions have led to a wide range of new applications related to optimal and
feedback control, which results in new challenges such as expensive models or
real-time applicability. Since the Pareto set generally consists of an infinite
number of solutions, the computational effort can quickly become challenging,
which is particularly problematic when the objectives are costly to evaluate or
when a solution has to be presented very quickly. This article gives an overview
of recent developments in accelerating multiobjective optimal control for complex
problems where either PDE constraints are present or where a feedback behavior
has to be achieved. In the first case, surrogate models yield significant speed-ups.
Besides classical meta-modeling techniques for multiobjective optimization, a
promising alternative for control problems is to introduce a surrogate model for
the system dynamics. In the case of real-time requirements, various promising
model predictive control approaches have been proposed, using either fast online
solvers or offline-online decomposition. We also briefly comment on dimension
reduction in many-objective optimization problems as another technique for reducing
the numerical effort.
article_type: review
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. A Survey of Recent Trends in Multiobjective Optimal Control—Surrogate
Models, Feedback Control and Objective Reduction. Mathematical and Computational
Applications. 2018;23(2). doi:10.3390/mca23020030
apa: Peitz, S., & Dellnitz, M. (2018). A Survey of Recent Trends in Multiobjective
Optimal Control—Surrogate Models, Feedback Control and Objective Reduction. Mathematical
and Computational Applications, 23(2). https://doi.org/10.3390/mca23020030
bibtex: '@article{Peitz_Dellnitz_2018, title={A Survey of Recent Trends in Multiobjective
Optimal Control—Surrogate Models, Feedback Control and Objective Reduction}, volume={23},
DOI={10.3390/mca23020030}, number={2},
journal={Mathematical and Computational Applications}, author={Peitz, Sebastian
and Dellnitz, Michael}, year={2018} }'
chicago: Peitz, Sebastian, and Michael Dellnitz. “A Survey of Recent Trends in Multiobjective
Optimal Control—Surrogate Models, Feedback Control and Objective Reduction.” Mathematical
and Computational Applications 23, no. 2 (2018). https://doi.org/10.3390/mca23020030.
ieee: S. Peitz and M. Dellnitz, “A Survey of Recent Trends in Multiobjective Optimal
Control—Surrogate Models, Feedback Control and Objective Reduction,” Mathematical
and Computational Applications, vol. 23, no. 2, 2018.
mla: Peitz, Sebastian, and Michael Dellnitz. “A Survey of Recent Trends in Multiobjective
Optimal Control—Surrogate Models, Feedback Control and Objective Reduction.” Mathematical
and Computational Applications, vol. 23, no. 2, 2018, doi:10.3390/mca23020030.
short: S. Peitz, M. Dellnitz, Mathematical and Computational Applications 23 (2018).
date_created: 2019-03-29T13:27:51Z
date_updated: 2022-01-06T07:04:00Z
department:
- _id: '101'
doi: 10.3390/mca23020030
intvolume: ' 23'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://www.mdpi.com/2297-8747/23/2/30/pdf
oa: '1'
publication: Mathematical and Computational Applications
publication_identifier:
issn:
- 2297-8747
publication_status: published
status: public
title: A Survey of Recent Trends in Multiobjective Optimal Control—Surrogate Models,
Feedback Control and Objective Reduction
type: journal_article
user_id: '47427'
volume: 23
year: '2018'
...
---
_id: '8754'
abstract:
- lang: eng
text: In this chapter, we combine a global, derivative-free subdivision algorithm
for multiobjective optimization problems with a posteriori error estimates for
reduced-order models based on Proper Orthogonal Decomposition in order to efficiently
solve multiobjective optimization problems governed by partial differential equations.
An error bound for a semilinear heat equation is developed in such a way that
the errors in the conflicting objectives can be estimated individually. The resulting
algorithm constructs a library of locally valid reduced-order models online using
a Greedy (worst-first) search. Using this approach, the number of evaluations
of the full-order model can be reduced by a factor of more than 1000.
author:
- first_name: Dennis
full_name: Beermann, Dennis
last_name: Beermann
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: https://orcid.org/0000-0002-3389-793X
- first_name: Stefan
full_name: Volkwein, Stefan
last_name: Volkwein
citation:
ama: 'Beermann D, Dellnitz M, Peitz S, Volkwein S. Set-Oriented Multiobjective Optimal
Control of PDEs Using Proper Orthogonal Decomposition. In: Reduced-Order Modeling
(ROM) for Simulation and Optimization. Cham; 2018:47-72. doi:10.1007/978-3-319-75319-5_3'
apa: Beermann, D., Dellnitz, M., Peitz, S., & Volkwein, S. (2018). Set-Oriented
Multiobjective Optimal Control of PDEs Using Proper Orthogonal Decomposition.
In Reduced-Order Modeling (ROM) for Simulation and Optimization (pp. 47–72).
Cham. https://doi.org/10.1007/978-3-319-75319-5_3
bibtex: '@inbook{Beermann_Dellnitz_Peitz_Volkwein_2018, place={Cham}, title={Set-Oriented
Multiobjective Optimal Control of PDEs Using Proper Orthogonal Decomposition},
DOI={10.1007/978-3-319-75319-5_3},
booktitle={Reduced-Order Modeling (ROM) for Simulation and Optimization}, author={Beermann,
Dennis and Dellnitz, Michael and Peitz, Sebastian and Volkwein, Stefan}, year={2018},
pages={47–72} }'
chicago: Beermann, Dennis, Michael Dellnitz, Sebastian Peitz, and Stefan Volkwein.
“Set-Oriented Multiobjective Optimal Control of PDEs Using Proper Orthogonal Decomposition.”
In Reduced-Order Modeling (ROM) for Simulation and Optimization, 47–72.
Cham, 2018. https://doi.org/10.1007/978-3-319-75319-5_3.
ieee: D. Beermann, M. Dellnitz, S. Peitz, and S. Volkwein, “Set-Oriented Multiobjective
Optimal Control of PDEs Using Proper Orthogonal Decomposition,” in Reduced-Order
Modeling (ROM) for Simulation and Optimization, Cham, 2018, pp. 47–72.
mla: Beermann, Dennis, et al. “Set-Oriented Multiobjective Optimal Control of PDEs
Using Proper Orthogonal Decomposition.” Reduced-Order Modeling (ROM) for Simulation
and Optimization, 2018, pp. 47–72, doi:10.1007/978-3-319-75319-5_3.
short: 'D. Beermann, M. Dellnitz, S. Peitz, S. Volkwein, in: Reduced-Order Modeling
(ROM) for Simulation and Optimization, Cham, 2018, pp. 47–72.'
date_created: 2019-03-29T13:31:20Z
date_updated: 2022-01-06T07:04:00Z
department:
- _id: '101'
doi: 10.1007/978-3-319-75319-5_3
language:
- iso: eng
page: 47-72
place: Cham
project:
- _id: '52'
name: Computing Resources Provided by the Paderborn Center for Parallel Computing
publication: Reduced-Order Modeling (ROM) for Simulation and Optimization
publication_identifier:
isbn:
- '9783319753188'
- '9783319753195'
publication_status: published
status: public
title: Set-Oriented Multiobjective Optimal Control of PDEs Using Proper Orthogonal
Decomposition
type: book_chapter
user_id: '47427'
year: '2018'
...
---
_id: '8755'
abstract:
- lang: eng
text: Dynamic mode decomposition (DMD) is a recently developed tool for the analysis
of the behavior of complex dynamical systems. In this paper, we will propose an
extension of DMD that exploits low-rank tensor decompositions of potentially high-dimensional
data sets to compute the corresponding DMD modes and eigenvalues. The goal is
to reduce the computational complexity and also the amount of memory required
to store the data in order to mitigate the curse of dimensionality. The efficiency
of these tensor-based methods will be illustrated with the aid of several different
fluid dynamics problems such as the von Kármán vortex street and the simulation
of two merging vortices.
article_type: original
author:
- first_name: Stefan
full_name: Klus, Stefan
last_name: Klus
- first_name: Patrick
full_name: Gelß, Patrick
last_name: Gelß
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: https://orcid.org/0000-0002-3389-793X
- first_name: Christof
full_name: Schütte, Christof
last_name: Schütte
citation:
ama: Klus S, Gelß P, Peitz S, Schütte C. Tensor-based dynamic mode decomposition.
Nonlinearity. 2018;31(7):3359-3380. doi:10.1088/1361-6544/aabc8f
apa: Klus, S., Gelß, P., Peitz, S., & Schütte, C. (2018). Tensor-based dynamic
mode decomposition. Nonlinearity, 31(7), 3359–3380. https://doi.org/10.1088/1361-6544/aabc8f
bibtex: '@article{Klus_Gelß_Peitz_Schütte_2018, title={Tensor-based dynamic mode
decomposition}, volume={31}, DOI={10.1088/1361-6544/aabc8f},
number={7}, journal={Nonlinearity}, author={Klus, Stefan and Gelß, Patrick and
Peitz, Sebastian and Schütte, Christof}, year={2018}, pages={3359–3380} }'
chicago: 'Klus, Stefan, Patrick Gelß, Sebastian Peitz, and Christof Schütte. “Tensor-Based
Dynamic Mode Decomposition.” Nonlinearity 31, no. 7 (2018): 3359–80. https://doi.org/10.1088/1361-6544/aabc8f.'
ieee: S. Klus, P. Gelß, S. Peitz, and C. Schütte, “Tensor-based dynamic mode decomposition,”
Nonlinearity, vol. 31, no. 7, pp. 3359–3380, 2018.
mla: Klus, Stefan, et al. “Tensor-Based Dynamic Mode Decomposition.” Nonlinearity,
vol. 31, no. 7, 2018, pp. 3359–80, doi:10.1088/1361-6544/aabc8f.
short: S. Klus, P. Gelß, S. Peitz, C. Schütte, Nonlinearity 31 (2018) 3359–3380.
date_created: 2019-03-29T13:32:04Z
date_updated: 2022-01-06T07:04:00Z
department:
- _id: '101'
doi: 10.1088/1361-6544/aabc8f
intvolume: ' 31'
issue: '7'
language:
- iso: eng
page: 3359-3380
project:
- _id: '52'
name: Computing Resources Provided by the Paderborn Center for Parallel Computing
publication: Nonlinearity
publication_identifier:
issn:
- 0951-7715
- 1361-6544
publication_status: published
status: public
title: Tensor-based dynamic mode decomposition
type: journal_article
user_id: '47427'
volume: 31
year: '2018'
...
---
_id: '8757'
abstract:
- lang: eng
text: A framework for set‐oriented multiobjective optimal control of partial differential
equations using reduced order modeling has recently been developed [1]. Following
concepts from localized reduced bases methods, error estimators for the reduced
cost functionals are utilized to construct a library of locally valid reduced
order models. This way, a superset of the Pareto set can efficiently be computed
while maintaining a prescribed error bound. In this article, this algorithm is
applied to a problem with non‐smooth objective functionals. Using an academic
example, we show that the extension to non‐smooth problems can be realized in
a straightforward manner. We then discuss the implications on the numerical results.
author:
- first_name: Dennis
full_name: Beermann, Dennis
last_name: Beermann
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: https://orcid.org/0000-0002-3389-793X
- first_name: Stefan
full_name: Volkwein, Stefan
last_name: Volkwein
citation:
ama: 'Beermann D, Dellnitz M, Peitz S, Volkwein S. POD-based multiobjective optimal
control of PDEs with non-smooth objectives. In: PAMM. ; 2018:51-54. doi:10.1002/pamm.201710015'
apa: Beermann, D., Dellnitz, M., Peitz, S., & Volkwein, S. (2018). POD-based
multiobjective optimal control of PDEs with non-smooth objectives. In PAMM
(pp. 51–54). https://doi.org/10.1002/pamm.201710015
bibtex: '@inproceedings{Beermann_Dellnitz_Peitz_Volkwein_2018, title={POD-based
multiobjective optimal control of PDEs with non-smooth objectives}, DOI={10.1002/pamm.201710015},
booktitle={PAMM}, author={Beermann, Dennis and Dellnitz, Michael and Peitz, Sebastian
and Volkwein, Stefan}, year={2018}, pages={51–54} }'
chicago: Beermann, Dennis, Michael Dellnitz, Sebastian Peitz, and Stefan Volkwein.
“POD-Based Multiobjective Optimal Control of PDEs with Non-Smooth Objectives.”
In PAMM, 51–54, 2018. https://doi.org/10.1002/pamm.201710015.
ieee: D. Beermann, M. Dellnitz, S. Peitz, and S. Volkwein, “POD-based multiobjective
optimal control of PDEs with non-smooth objectives,” in PAMM, 2018, pp.
51–54.
mla: Beermann, Dennis, et al. “POD-Based Multiobjective Optimal Control of PDEs
with Non-Smooth Objectives.” PAMM, 2018, pp. 51–54, doi:10.1002/pamm.201710015.
short: 'D. Beermann, M. Dellnitz, S. Peitz, S. Volkwein, in: PAMM, 2018, pp. 51–54.'
date_created: 2019-03-29T13:34:25Z
date_updated: 2022-01-06T07:04:00Z
department:
- _id: '101'
doi: 10.1002/pamm.201710015
language:
- iso: eng
page: 51-54
project:
- _id: '52'
name: Computing Resources Provided by the Paderborn Center for Parallel Computing
publication: PAMM
publication_identifier:
issn:
- 1617-7061
publication_status: published
status: public
title: POD-based multiobjective optimal control of PDEs with non-smooth objectives
type: conference
user_id: '47427'
year: '2018'
...
---
_id: '6595'
author:
- first_name: Nadine
full_name: Feldmann, Nadine
id: '23082'
last_name: Feldmann
- 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: Bernd
full_name: Henning, Bernd
id: '213'
last_name: Henning
citation:
ama: Feldmann N, Jurgelucks B, Claes L, Henning B. Vollständige Charakterisierung
von Piezoelektrischen Scheiben Mit Ringelektroden. Workshop “Messtechnische
Anwendungen von Ultraschall”, Drübeck; 2018.
apa: Feldmann, N., Jurgelucks, B., Claes, L., & Henning, B. (2018). Vollständige
Charakterisierung von piezoelektrischen Scheiben mit Ringelektroden. Workshop
“Messtechnische Anwendungen von Ultraschall”, Drübeck.
bibtex: '@book{Feldmann_Jurgelucks_Claes_Henning_2018, place={Workshop “Messtechnische
Anwendungen von Ultraschall”, Drübeck}, title={Vollständige Charakterisierung
von piezoelektrischen Scheiben mit Ringelektroden}, author={Feldmann, Nadine and
Jurgelucks, Benjamin and Claes, Leander and Henning, Bernd}, year={2018} }'
chicago: Feldmann, Nadine, Benjamin Jurgelucks, Leander Claes, and Bernd Henning.
Vollständige Charakterisierung von Piezoelektrischen Scheiben Mit Ringelektroden.
Workshop “Messtechnische Anwendungen von Ultraschall”, Drübeck, 2018.
ieee: N. Feldmann, B. Jurgelucks, L. Claes, and B. Henning, Vollständige Charakterisierung
von piezoelektrischen Scheiben mit Ringelektroden. Workshop “Messtechnische
Anwendungen von Ultraschall”, Drübeck, 2018.
mla: Feldmann, Nadine, et al. Vollständige Charakterisierung von Piezoelektrischen
Scheiben Mit Ringelektroden. 2018.
short: N. Feldmann, B. Jurgelucks, L. Claes, B. Henning, Vollständige Charakterisierung
von Piezoelektrischen Scheiben Mit Ringelektroden, Workshop “Messtechnische Anwendungen
von Ultraschall”, Drübeck, 2018.
date_created: 2019-01-09T16:14:18Z
date_updated: 2022-01-06T07:03:13Z
department:
- _id: '49'
- _id: '104'
language:
- iso: eng
place: Workshop "Messtechnische Anwendungen von Ultraschall", Drübeck
project:
- _id: '90'
name: Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen
Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums
status: public
title: Vollständige Charakterisierung von piezoelektrischen Scheiben mit Ringelektroden
type: misc
user_id: '11829'
year: '2018'
...
---
_id: '16713'
author:
- first_name: Christian
full_name: Gölz, Christian
last_name: Gölz
- first_name: Claudia
full_name: Voelcker-Rehage, Claudia
last_name: Voelcker-Rehage
- first_name: Karin
full_name: Mora, Karin
last_name: Mora
- first_name: Eva-Maria
full_name: Reuter, Eva-Maria
last_name: Reuter
- first_name: Ben
full_name: Godde, Ben
last_name: Godde
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
- first_name: Claus
full_name: Reinsberger, Claus
last_name: Reinsberger
- first_name: Solveig
full_name: Vieluf, Solveig
last_name: Vieluf
citation:
ama: Gölz C, Voelcker-Rehage C, Mora K, et al. Improved Neural Control of Movements
Manifests in Expertise-Related Differences in Force Output and Brain Network Dynamics.
Frontiers in Physiology. 2018. doi:10.3389/fphys.2018.01540
apa: Gölz, C., Voelcker-Rehage, C., Mora, K., Reuter, E.-M., Godde, B., Dellnitz,
M., … Vieluf, S. (2018). Improved Neural Control of Movements Manifests in Expertise-Related
Differences in Force Output and Brain Network Dynamics. Frontiers in Physiology.
https://doi.org/10.3389/fphys.2018.01540
bibtex: '@article{Gölz_Voelcker-Rehage_Mora_Reuter_Godde_Dellnitz_Reinsberger_Vieluf_2018,
title={Improved Neural Control of Movements Manifests in Expertise-Related Differences
in Force Output and Brain Network Dynamics}, DOI={10.3389/fphys.2018.01540},
journal={Frontiers in Physiology}, author={Gölz, Christian and Voelcker-Rehage,
Claudia and Mora, Karin and Reuter, Eva-Maria and Godde, Ben and Dellnitz, Michael
and Reinsberger, Claus and Vieluf, Solveig}, year={2018} }'
chicago: Gölz, Christian, Claudia Voelcker-Rehage, Karin Mora, Eva-Maria Reuter,
Ben Godde, Michael Dellnitz, Claus Reinsberger, and Solveig Vieluf. “Improved
Neural Control of Movements Manifests in Expertise-Related Differences in Force
Output and Brain Network Dynamics.” Frontiers in Physiology, 2018. https://doi.org/10.3389/fphys.2018.01540.
ieee: C. Gölz et al., “Improved Neural Control of Movements Manifests in
Expertise-Related Differences in Force Output and Brain Network Dynamics,” Frontiers
in Physiology, 2018.
mla: Gölz, Christian, et al. “Improved Neural Control of Movements Manifests in
Expertise-Related Differences in Force Output and Brain Network Dynamics.” Frontiers
in Physiology, 2018, doi:10.3389/fphys.2018.01540.
short: C. Gölz, C. Voelcker-Rehage, K. Mora, E.-M. Reuter, B. Godde, M. Dellnitz,
C. Reinsberger, S. Vieluf, Frontiers in Physiology (2018).
date_created: 2020-04-16T14:08:06Z
date_updated: 2022-01-06T06:52:55Z
department:
- _id: '101'
doi: 10.3389/fphys.2018.01540
language:
- iso: eng
publication: Frontiers in Physiology
publication_identifier:
issn:
- 1664-042X
publication_status: published
status: public
title: Improved Neural Control of Movements Manifests in Expertise-Related Differences
in Force Output and Brain Network Dynamics
type: journal_article
user_id: '47427'
year: '2018'
...
---
_id: '16714'
author:
- first_name: Solveig
full_name: Vieluf, Solveig
last_name: Vieluf
- first_name: Karin
full_name: Mora, Karin
last_name: Mora
- first_name: Christian
full_name: Gölz, Christian
last_name: Gölz
- first_name: Eva-Maria
full_name: Reuter, Eva-Maria
last_name: Reuter
- first_name: Ben
full_name: Godde, Ben
last_name: Godde
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
- first_name: Claus
full_name: Reinsberger, Claus
last_name: Reinsberger
- first_name: Claudia
full_name: Voelcker-Rehage, Claudia
last_name: Voelcker-Rehage
citation:
ama: Vieluf S, Mora K, Gölz C, et al. Age- and Expertise-Related Differences of
Sensorimotor Network Dynamics during Force Control. Neuroscience. 2018:203-213.
doi:10.1016/j.neuroscience.2018.07.025
apa: Vieluf, S., Mora, K., Gölz, C., Reuter, E.-M., Godde, B., Dellnitz, M., … Voelcker-Rehage,
C. (2018). Age- and Expertise-Related Differences of Sensorimotor Network Dynamics
during Force Control. Neuroscience, 203–213. https://doi.org/10.1016/j.neuroscience.2018.07.025
bibtex: '@article{Vieluf_Mora_Gölz_Reuter_Godde_Dellnitz_Reinsberger_Voelcker-Rehage_2018,
title={Age- and Expertise-Related Differences of Sensorimotor Network Dynamics
during Force Control}, DOI={10.1016/j.neuroscience.2018.07.025},
journal={Neuroscience}, author={Vieluf, Solveig and Mora, Karin and Gölz, Christian
and Reuter, Eva-Maria and Godde, Ben and Dellnitz, Michael and Reinsberger, Claus
and Voelcker-Rehage, Claudia}, year={2018}, pages={203–213} }'
chicago: Vieluf, Solveig, Karin Mora, Christian Gölz, Eva-Maria Reuter, Ben Godde,
Michael Dellnitz, Claus Reinsberger, and Claudia Voelcker-Rehage. “Age- and Expertise-Related
Differences of Sensorimotor Network Dynamics during Force Control.” Neuroscience,
2018, 203–13. https://doi.org/10.1016/j.neuroscience.2018.07.025.
ieee: S. Vieluf et al., “Age- and Expertise-Related Differences of Sensorimotor
Network Dynamics during Force Control,” Neuroscience, pp. 203–213, 2018.
mla: Vieluf, Solveig, et al. “Age- and Expertise-Related Differences of Sensorimotor
Network Dynamics during Force Control.” Neuroscience, 2018, pp. 203–13,
doi:10.1016/j.neuroscience.2018.07.025.
short: S. Vieluf, K. Mora, C. Gölz, E.-M. Reuter, B. Godde, M. Dellnitz, C. Reinsberger,
C. Voelcker-Rehage, Neuroscience (2018) 203–213.
date_created: 2020-04-16T14:08:51Z
date_updated: 2022-01-06T06:52:55Z
department:
- _id: '101'
doi: 10.1016/j.neuroscience.2018.07.025
language:
- iso: eng
page: 203-213
publication: Neuroscience
publication_identifier:
issn:
- 0306-4522
publication_status: published
status: public
title: Age- and Expertise-Related Differences of Sensorimotor Network Dynamics during
Force Control
type: journal_article
user_id: '47427'
year: '2018'
...
---
_id: '16715'
author:
- first_name: Andreas
full_name: Bittracher, Andreas
last_name: Bittracher
- first_name: Péter
full_name: Koltai, Péter
last_name: Koltai
- first_name: Stefan
full_name: Klus, Stefan
last_name: Klus
- first_name: Ralf
full_name: Banisch, Ralf
last_name: Banisch
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
- first_name: Christof
full_name: Schütte, Christof
last_name: Schütte
citation:
ama: Bittracher A, Koltai P, Klus S, Banisch R, Dellnitz M, Schütte C. Transition
Manifolds of Complex Metastable Systems. Journal of Nonlinear Science.
2018;28:471-512. doi:10.1007/s00332-017-9415-0
apa: Bittracher, A., Koltai, P., Klus, S., Banisch, R., Dellnitz, M., & Schütte,
C. (2018). Transition Manifolds of Complex Metastable Systems. Journal of Nonlinear
Science, 28, 471–512. https://doi.org/10.1007/s00332-017-9415-0
bibtex: '@article{Bittracher_Koltai_Klus_Banisch_Dellnitz_Schütte_2018, title={Transition
Manifolds of Complex Metastable Systems}, volume={28}, DOI={10.1007/s00332-017-9415-0},
journal={Journal of Nonlinear Science}, author={Bittracher, Andreas and Koltai,
Péter and Klus, Stefan and Banisch, Ralf and Dellnitz, Michael and Schütte, Christof},
year={2018}, pages={471–512} }'
chicago: 'Bittracher, Andreas, Péter Koltai, Stefan Klus, Ralf Banisch, Michael
Dellnitz, and Christof Schütte. “Transition Manifolds of Complex Metastable Systems.”
Journal of Nonlinear Science 28 (2018): 471–512. https://doi.org/10.1007/s00332-017-9415-0.'
ieee: A. Bittracher, P. Koltai, S. Klus, R. Banisch, M. Dellnitz, and C. Schütte,
“Transition Manifolds of Complex Metastable Systems,” Journal of Nonlinear
Science, vol. 28, pp. 471–512, 2018.
mla: Bittracher, Andreas, et al. “Transition Manifolds of Complex Metastable Systems.”
Journal of Nonlinear Science, vol. 28, 2018, pp. 471–512, doi:10.1007/s00332-017-9415-0.
short: A. Bittracher, P. Koltai, S. Klus, R. Banisch, M. Dellnitz, C. Schütte, Journal
of Nonlinear Science 28 (2018) 471–512.
date_created: 2020-04-16T14:09:31Z
date_updated: 2022-01-06T06:52:55Z
department:
- _id: '101'
doi: 10.1007/s00332-017-9415-0
intvolume: ' 28'
language:
- iso: eng
page: 471-512
publication: Journal of Nonlinear Science
publication_identifier:
issn:
- 0938-8974
- 1432-1467
publication_status: published
status: public
title: Transition Manifolds of Complex Metastable Systems
type: journal_article
user_id: '47427'
volume: 28
year: '2018'
...
---
_id: '16292'
abstract:
- lang: eng
text: "In a recent article, we presented a framework to control nonlinear partial\r\ndifferential
equations (PDEs) by means of Koopman operator based reduced models\r\nand concepts
from switched systems. The main idea was to transform a control\r\nsystem into
a set of autonomous systems for which the optimal switching\r\nsequence has to
be computed. These individual systems can be approximated very\r\nefficiently
by reduced order models obtained from data, and one can guarantee\r\nequality
of the full and the reduced objective function under certain\r\nassumptions. In
this article, we extend these results to continuous control\r\ninputs using convex
combinations of multiple Koopman operators corresponding to\r\nconstant controls,
which results in a bilinear control system. Although\r\nequality of the objectives
can be carried over when the PDE depends linearly on\r\nthe control, we show that
this approach is also valid in other scenarios using\r\nseveral flow control examples
of varying complexity."
author:
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: https://orcid.org/0000-0002-3389-793X
citation:
ama: Peitz S. Controlling nonlinear PDEs using low-dimensional bilinear approximations
obtained from data. arXiv:180106419. 2018.
apa: Peitz, S. (2018). Controlling nonlinear PDEs using low-dimensional bilinear
approximations obtained from data. ArXiv:1801.06419.
bibtex: '@article{Peitz_2018, title={Controlling nonlinear PDEs using low-dimensional
bilinear approximations obtained from data}, journal={arXiv:1801.06419}, author={Peitz,
Sebastian}, year={2018} }'
chicago: Peitz, Sebastian. “Controlling Nonlinear PDEs Using Low-Dimensional Bilinear
Approximations Obtained from Data.” ArXiv:1801.06419, 2018.
ieee: S. Peitz, “Controlling nonlinear PDEs using low-dimensional bilinear approximations
obtained from data,” arXiv:1801.06419. 2018.
mla: Peitz, Sebastian. “Controlling Nonlinear PDEs Using Low-Dimensional Bilinear
Approximations Obtained from Data.” ArXiv:1801.06419, 2018.
short: S. Peitz, ArXiv:1801.06419 (2018).
date_created: 2020-03-13T12:43:14Z
date_updated: 2022-01-06T06:52:48Z
department:
- _id: '101'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/1801.06419.pdf
oa: '1'
publication: arXiv:1801.06419
status: public
title: Controlling nonlinear PDEs using low-dimensional bilinear approximations obtained
from data
type: preprint
user_id: '47427'
year: '2018'
...