---
_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: '7767'
author:
- first_name: Jan
  full_name: Schumacher, Jan
  id: '26809'
  last_name: Schumacher
  orcid: 0000-0002-6676-9774
citation:
  ama: 'Schumacher J. Sinnkonstruktion beim Erkunden von Mustern und Strukturen. In:
    Kortenkamp U, Kuzle A, eds. <i>Beiträge zum Mathematikunterricht 2017</i>. Münster:
    WTM-Verlag; 2017.'
  apa: 'Schumacher, J. (2017). Sinnkonstruktion beim Erkunden von Mustern und Strukturen.
    In U. Kortenkamp &#38; A. Kuzle (Eds.), <i>Beiträge zum Mathematikunterricht 2017</i>.
    Münster: WTM-Verlag.'
  bibtex: '@inproceedings{Schumacher_2017, place={Münster}, title={Sinnkonstruktion
    beim Erkunden von Mustern und Strukturen}, booktitle={Beiträge zum Mathematikunterricht
    2017}, publisher={WTM-Verlag}, author={Schumacher, Jan}, editor={Kortenkamp, Ulrich
    and Kuzle, AnaEditors}, year={2017} }'
  chicago: 'Schumacher, Jan. “Sinnkonstruktion beim Erkunden von Mustern und Strukturen.”
    In <i>Beiträge zum Mathematikunterricht 2017</i>, edited by Ulrich Kortenkamp
    and Ana Kuzle. Münster: WTM-Verlag, 2017.'
  ieee: J. Schumacher, “Sinnkonstruktion beim Erkunden von Mustern und Strukturen,”
    in <i>Beiträge zum Mathematikunterricht 2017</i>, 2017.
  mla: Schumacher, Jan. “Sinnkonstruktion beim Erkunden von Mustern und Strukturen.”
    <i>Beiträge zum Mathematikunterricht 2017</i>, edited by Ulrich Kortenkamp and
    Ana Kuzle, WTM-Verlag, 2017.
  short: 'J. Schumacher, in: U. Kortenkamp, A. Kuzle (Eds.), Beiträge zum Mathematikunterricht
    2017, WTM-Verlag, Münster, 2017.'
date_created: 2019-02-19T12:43:36Z
date_updated: 2022-01-06T07:03:45Z
department:
- _id: '360'
editor:
- first_name: Ulrich
  full_name: Kortenkamp, Ulrich
  last_name: Kortenkamp
- first_name: Ana
  full_name: Kuzle, Ana
  last_name: Kuzle
language:
- iso: ger
main_file_link:
- open_access: '1'
  url: https://eldorado.tu-dortmund.de/handle/2003/36640
oa: '1'
place: Münster
publication: Beiträge zum Mathematikunterricht 2017
publication_status: published
publisher: WTM-Verlag
status: public
title: Sinnkonstruktion beim Erkunden von Mustern und Strukturen
type: conference
user_id: '26809'
year: '2017'
...
---
_id: '8559'
author:
- first_name: Michael
  full_name: Liebendörfer, Michael
  id: '30933'
  last_name: Liebendörfer
  orcid: 0000-0001-9887-2074
- first_name: Reinhard
  full_name: Hochmuth, Reinhard
  last_name: Hochmuth
citation:
  ama: 'Liebendörfer M, Hochmuth R. Perceived Competence and Incompetence in the First
    Year of Mathematics Studies: Forms and Situations. In: Göller R, Biehler R, Hochmuth
    R, Rück H-G, eds. <i>Didactics of Mathematics in Higher Education as a Scientific
    Discipline - Conference Proceedings</i>. Kassel: Universität Kassel; 2017:286-293.'
  apa: 'Liebendörfer, M., &#38; Hochmuth, R. (2017). Perceived Competence and Incompetence
    in the First Year of Mathematics Studies: Forms and Situations. In R. Göller,
    R. Biehler, R. Hochmuth, &#38; H.-G. Rück (Eds.), <i>Didactics of Mathematics
    in Higher Education as a Scientific Discipline - Conference Proceedings</i> (pp.
    286–293). Kassel: Universität Kassel.'
  bibtex: '@inproceedings{Liebendörfer_Hochmuth_2017, place={Kassel}, title={Perceived
    Competence and Incompetence in the First Year of Mathematics Studies: Forms and
    Situations}, booktitle={Didactics of Mathematics in Higher Education as a Scientific
    Discipline - Conference Proceedings}, publisher={Universität Kassel}, author={Liebendörfer,
    Michael and Hochmuth, Reinhard}, editor={Göller, Robin and Biehler, Rolf and Hochmuth,
    Reinhard and Rück, Hans-GeorgEditors}, year={2017}, pages={286–293} }'
  chicago: 'Liebendörfer, Michael, and Reinhard Hochmuth. “Perceived Competence and
    Incompetence in the First Year of Mathematics Studies: Forms and Situations.”
    In <i>Didactics of Mathematics in Higher Education as a Scientific Discipline
    - Conference Proceedings</i>, edited by Robin Göller, Rolf Biehler, Reinhard Hochmuth,
    and Hans-Georg Rück, 286–93. Kassel: Universität Kassel, 2017.'
  ieee: 'M. Liebendörfer and R. Hochmuth, “Perceived Competence and Incompetence in
    the First Year of Mathematics Studies: Forms and Situations,” in <i>Didactics
    of Mathematics in Higher Education as a Scientific Discipline - Conference Proceedings</i>,
    2017, pp. 286–293.'
  mla: 'Liebendörfer, Michael, and Reinhard Hochmuth. “Perceived Competence and Incompetence
    in the First Year of Mathematics Studies: Forms and Situations.” <i>Didactics
    of Mathematics in Higher Education as a Scientific Discipline - Conference Proceedings</i>,
    edited by Robin Göller et al., Universität Kassel, 2017, pp. 286–93.'
  short: 'M. Liebendörfer, R. Hochmuth, in: R. Göller, R. Biehler, R. Hochmuth, H.-G.
    Rück (Eds.), Didactics of Mathematics in Higher Education as a Scientific Discipline
    - Conference Proceedings, Universität Kassel, Kassel, 2017, pp. 286–293.'
date_created: 2019-03-25T15:35:23Z
date_updated: 2022-01-06T07:03:57Z
department:
- _id: '10'
editor:
- first_name: Robin
  full_name: Göller, Robin
  last_name: Göller
- first_name: Rolf
  full_name: Biehler, Rolf
  last_name: Biehler
- first_name: Reinhard
  full_name: Hochmuth, Reinhard
  last_name: Hochmuth
- first_name: Hans-Georg
  full_name: Rück, Hans-Georg
  last_name: Rück
extern: '1'
language:
- iso: eng
page: 286-293
place: Kassel
publication: Didactics of Mathematics in Higher Education as a Scientific Discipline
  - Conference Proceedings
publisher: Universität Kassel
status: public
title: 'Perceived Competence and Incompetence in the First Year of Mathematics Studies:
  Forms and Situations'
type: conference
user_id: '30933'
year: '2017'
...
---
_id: '8564'
author:
- first_name: Michael
  full_name: Liebendörfer, Michael
  id: '30933'
  last_name: Liebendörfer
  orcid: 0000-0001-9887-2074
- first_name: Stanislaw
  full_name: Schukajlow, Stanislaw
  last_name: Schukajlow
citation:
  ama: 'Liebendörfer M, Schukajlow S. Interest development during the first year at
    university: do mathematical beliefs predict interest in mathematics? <i>ZDM</i>.
    2017;49(3):355-366. doi:<a href="https://doi.org/10.1007/s11858-016-0827-3">10.1007/s11858-016-0827-3</a>'
  apa: 'Liebendörfer, M., &#38; Schukajlow, S. (2017). Interest development during
    the first year at university: do mathematical beliefs predict interest in mathematics?
    <i>ZDM</i>, <i>49</i>(3), 355–366. <a href="https://doi.org/10.1007/s11858-016-0827-3">https://doi.org/10.1007/s11858-016-0827-3</a>'
  bibtex: '@article{Liebendörfer_Schukajlow_2017, title={Interest development during
    the first year at university: do mathematical beliefs predict interest in mathematics?},
    volume={49}, DOI={<a href="https://doi.org/10.1007/s11858-016-0827-3">10.1007/s11858-016-0827-3</a>},
    number={3}, journal={ZDM}, author={Liebendörfer, Michael and Schukajlow, Stanislaw},
    year={2017}, pages={355–366} }'
  chicago: 'Liebendörfer, Michael, and Stanislaw Schukajlow. “Interest Development
    during the First Year at University: Do Mathematical Beliefs Predict Interest
    in Mathematics?” <i>ZDM</i> 49, no. 3 (2017): 355–66. <a href="https://doi.org/10.1007/s11858-016-0827-3">https://doi.org/10.1007/s11858-016-0827-3</a>.'
  ieee: 'M. Liebendörfer and S. Schukajlow, “Interest development during the first
    year at university: do mathematical beliefs predict interest in mathematics?,”
    <i>ZDM</i>, vol. 49, no. 3, pp. 355–366, 2017.'
  mla: 'Liebendörfer, Michael, and Stanislaw Schukajlow. “Interest Development during
    the First Year at University: Do Mathematical Beliefs Predict Interest in Mathematics?”
    <i>ZDM</i>, vol. 49, no. 3, 2017, pp. 355–66, doi:<a href="https://doi.org/10.1007/s11858-016-0827-3">10.1007/s11858-016-0827-3</a>.'
  short: M. Liebendörfer, S. Schukajlow, ZDM 49 (2017) 355–366.
date_created: 2019-03-25T15:35:29Z
date_updated: 2022-01-06T07:03:57Z
department:
- _id: '10'
doi: 10.1007/s11858-016-0827-3
extern: '1'
intvolume: '        49'
issue: '3'
language:
- iso: eng
page: 355-366
publication: ZDM
publication_identifier:
  issn:
  - 1863-9690, 1863-9704
quality_controlled: '1'
status: public
title: 'Interest development during the first year at university: do mathematical
  beliefs predict interest in mathematics?'
type: journal_article
user_id: '30933'
volume: 49
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'
...
---
_id: '10594'
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\r\nthe set of optimal compromises (the Pareto set) between the conflicting
    objectives.\r\n\r\nSince – in contrast to the solution of a single objective optimization
    problem – the\r\nPareto set generally consists of an infinite number of solutions,
    the computational\r\neffort can quickly become challenging. This is even more
    the case when many problems have to be solved, when the number of objectives is
    high, or when the objectives\r\nare costly to evaluate. Consequently, this thesis
    is devoted to the identification and\r\nexploitation of structure both in the
    Pareto set and the dynamics of the underlying\r\nmodel as well as to the development
    of efficient algorithms for solving problems with\r\nadditional parameters, with
    a high number of objectives or with PDE-constraints.\r\nThese three challenges
    are addressed in three respective parts.\r\n\r\nIn the first part, predictor-corrector
    methods are extended to entire Pareto sets.\r\nWhen certain smoothness assumptions
    are satisfied, then the set of parameter dependent Pareto sets possesses additional
    structure, i.e. it is a manifold. The tangent\r\nspace can be approximated numerically
    which yields a direction for the predictor\r\nstep. In the corrector step, the
    predicted set converges to the Pareto set at a new\r\nparameter value. The resulting
    algorithm is applied to an example from autonomous\r\ndriving.\r\n\r\nIn the second
    part, the hierarchical structure of Pareto sets is investigated. When\r\nconsidering
    a subset of the objectives, the resulting solution is a subset of the Pareto\r\nset
    of the original problem. Under additional smoothness assumptions, the respective
    subsets are located on the boundary of the Pareto set of the full problem. This\r\nway,
    the “skeleton” of a Pareto set can be computed and due to the exponential\r\nincrease
    in computing time with the number of objectives, the computations of\r\nthese
    subsets are significantly faster which is demonstrated using an example from\r\nindustrial
    laundries.\r\n\r\nIn the third part, PDE-constrained multiobjective optimal control
    problems are\r\naddressed by reduced order modeling methods. Reduced order models
    exploit the\r\nstructure in the system dynamics, for example by describing the
    dynamics of only the\r\nmost energetic modes. The model reduction introduces an
    error in both the function values and their gradients, which has to be taken into
    account in the development of\r\nalgorithms. Both scalarization and set-oriented
    approaches are coupled with reduced\r\norder modeling. Convergence results are
    presented and the numerical benefit is\r\ninvestigated. The algorithms are applied
    to semi-linear heat flow problems as well\r\nas to the Navier-Stokes equations.\r\n"
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. <i>  Exploiting Structure in Multiobjective Optimization and Optimal
    Control</i>.; 2017. doi:<a href="https://doi.org/10.17619/UNIPB/1-176">10.17619/UNIPB/1-176</a>
  apa: Peitz, S. (2017). <i>  Exploiting structure in multiobjective optimization
    and optimal control</i>. <a href="https://doi.org/10.17619/UNIPB/1-176">https://doi.org/10.17619/UNIPB/1-176</a>
  bibtex: '@book{Peitz_2017, title={  Exploiting structure in multiobjective optimization
    and optimal control}, DOI={<a href="https://doi.org/10.17619/UNIPB/1-176">10.17619/UNIPB/1-176</a>},
    author={Peitz, Sebastian}, year={2017} }'
  chicago: Peitz, Sebastian. <i>  Exploiting Structure in Multiobjective Optimization
    and Optimal Control</i>, 2017. <a href="https://doi.org/10.17619/UNIPB/1-176">https://doi.org/10.17619/UNIPB/1-176</a>.
  ieee: S. Peitz, <i>  Exploiting structure in multiobjective optimization and optimal
    control</i>. 2017.
  mla: Peitz, Sebastian. <i>  Exploiting Structure in Multiobjective Optimization
    and Optimal Control</i>. 2017, doi:<a href="https://doi.org/10.17619/UNIPB/1-176">10.17619/UNIPB/1-176</a>.
  short: S. Peitz,   Exploiting Structure in Multiobjective Optimization and Optimal
    Control, 2017.
date_created: 2019-07-10T08:12:22Z
date_updated: 2022-01-06T06:50:46Z
ddc:
- '510'
department:
- _id: '101'
doi: 10.17619/UNIPB/1-176
file:
- access_level: closed
  content_type: application/pdf
  creator: speitz
  date_created: 2020-03-13T12:52:50Z
  date_updated: 2020-03-13T12:52:50Z
  file_id: '16298'
  file_name: Dissertation_Peitz.pdf
  file_size: 16636801
  relation: main_file
  success: 1
file_date_updated: 2020-03-13T12:52:50Z
has_accepted_license: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://d-nb.info/1139356542/34
oa: '1'
project:
- _id: '52'
  name: Computing Resources Provided by the Paderborn Center for Parallel Computing
publication_status: published
status: public
title: " \tExploiting structure in multiobjective optimization and optimal control"
type: dissertation
user_id: '47427'
year: '2017'
...
---
_id: '31814'
author:
- first_name: Uta
  full_name: Häsel-Weide, Uta
  id: '60267'
  last_name: Häsel-Weide
citation:
  ama: 'Häsel-Weide U. Inklusiven Mathematikunterricht gestalten. Anforderungen an
    die Lehrerausbildung. In: Leuders J, Leuders T, Ruwisch S, Prediger S, eds. <i>Mit
    Heterogenität im Mathematikunterricht umgehen lernen – Konzepte und Perspektiven
    für eine zentrale Anforderung an die Lehrerbildung</i>. 1st ed. Springer Spektrum;
    2017:17-28.'
  apa: Häsel-Weide, U. (2017). Inklusiven Mathematikunterricht gestalten. Anforderungen
    an die Lehrerausbildung. In J. Leuders, T. Leuders, S. Ruwisch, &#38; S. Prediger
    (Eds.), <i>Mit Heterogenität im Mathematikunterricht umgehen lernen – Konzepte
    und Perspektiven für eine zentrale Anforderung an die Lehrerbildung</i> (1st ed.,
    pp. 17–28). Springer Spektrum.
  bibtex: '@inbook{Häsel-Weide_2017, place={Wiesbaden}, edition={1}, title={Inklusiven
    Mathematikunterricht gestalten. Anforderungen an die Lehrerausbildung.}, booktitle={Mit
    Heterogenität im Mathematikunterricht umgehen lernen – Konzepte und Perspektiven
    für eine zentrale Anforderung an die Lehrerbildung}, publisher={Springer Spektrum},
    author={Häsel-Weide, Uta}, editor={Leuders, J. and Leuders, T. and Ruwisch, S.
    and Prediger, S.}, year={2017}, pages={17–28} }'
  chicago: 'Häsel-Weide, Uta. “Inklusiven Mathematikunterricht gestalten. Anforderungen
    an die Lehrerausbildung.” In <i>Mit Heterogenität im Mathematikunterricht umgehen
    lernen – Konzepte und Perspektiven für eine zentrale Anforderung an die Lehrerbildung</i>,
    edited by J. Leuders, T. Leuders, S. Ruwisch, and S. Prediger, 1st ed., 17–28.
    Wiesbaden: Springer Spektrum, 2017.'
  ieee: 'U. Häsel-Weide, “Inklusiven Mathematikunterricht gestalten. Anforderungen
    an die Lehrerausbildung.,” in <i>Mit Heterogenität im Mathematikunterricht umgehen
    lernen – Konzepte und Perspektiven für eine zentrale Anforderung an die Lehrerbildung</i>,
    1st ed., J. Leuders, T. Leuders, S. Ruwisch, and S. Prediger, Eds. Wiesbaden:
    Springer Spektrum, 2017, pp. 17–28.'
  mla: Häsel-Weide, Uta. “Inklusiven Mathematikunterricht gestalten. Anforderungen
    an die Lehrerausbildung.” <i>Mit Heterogenität im Mathematikunterricht umgehen
    lernen – Konzepte und Perspektiven für eine zentrale Anforderung an die Lehrerbildung</i>,
    edited by J. Leuders et al., 1st ed., Springer Spektrum, 2017, pp. 17–28.
  short: 'U. Häsel-Weide, in: J. Leuders, T. Leuders, S. Ruwisch, S. Prediger (Eds.),
    Mit Heterogenität im Mathematikunterricht umgehen lernen – Konzepte und Perspektiven
    für eine zentrale Anforderung an die Lehrerbildung, 1st ed., Springer Spektrum,
    Wiesbaden, 2017, pp. 17–28.'
date_created: 2022-06-08T09:52:28Z
date_updated: 2022-06-08T09:52:32Z
department:
- _id: '98'
- _id: '543'
edition: '1'
editor:
- first_name: J.
  full_name: Leuders, J.
  last_name: Leuders
- first_name: T.
  full_name: Leuders, T.
  last_name: Leuders
- first_name: S.
  full_name: Ruwisch, S.
  last_name: Ruwisch
- first_name: S.
  full_name: Prediger, S.
  last_name: Prediger
language:
- iso: ger
page: 17-28
place: Wiesbaden
publication: Mit Heterogenität im Mathematikunterricht umgehen lernen – Konzepte und
  Perspektiven für eine zentrale Anforderung an die Lehrerbildung
publication_identifier:
  isbn:
  - 978-3658169022
publication_status: published
publisher: Springer Spektrum
related_material:
  link:
  - relation: contains
    url: https://link.springer.com/content/pdf/10.1007%2F978-3-658-16903-9_2
status: public
title: Inklusiven Mathematikunterricht gestalten. Anforderungen an die Lehrerausbildung.
type: book_chapter
user_id: '85821'
year: '2017'
...
---
_id: '31816'
author:
- first_name: Uta
  full_name: Häsel-Weide, Uta
  id: '60267'
  last_name: Häsel-Weide
citation:
  ama: 'Häsel-Weide U. Occasions for productive interactions in inclusives mathematics
    classrooms that arise following mistakes. . In: Dooley T, Gueudet G, eds. <i>Proceedings
    of the Tenth Congress of the European Society for Research in Mathematics Education</i>.
    DCU Institude of Education and ERME; 2017:1292-1299.'
  apa: Häsel-Weide, U. (2017). Occasions for productive interactions in inclusives
    mathematics classrooms that arise following mistakes. . In T. Dooley &#38; G.
    Gueudet (Eds.), <i>Proceedings of the Tenth Congress of the European Society for
    Research in Mathematics Education</i> (pp. 1292–1299). DCU Institude of Education
    and ERME.
  bibtex: '@inproceedings{Häsel-Weide_2017, place={Dublin}, title={Occasions for productive
    interactions in inclusives mathematics classrooms that arise following mistakes.
    }, booktitle={Proceedings of the Tenth Congress of the European Society for Research
    in Mathematics Education}, publisher={DCU Institude of Education and ERME}, author={Häsel-Weide,
    Uta}, editor={Dooley, T. and Gueudet, G.}, year={2017}, pages={1292–1299} }'
  chicago: 'Häsel-Weide, Uta. “Occasions for Productive Interactions in Inclusives
    Mathematics Classrooms That Arise Following Mistakes. .” In <i>Proceedings of
    the Tenth Congress of the European Society for Research in Mathematics Education</i>,
    edited by T. Dooley and G. Gueudet, 1292–99. Dublin: DCU Institude of Education
    and ERME, 2017.'
  ieee: U. Häsel-Weide, “Occasions for productive interactions in inclusives mathematics
    classrooms that arise following mistakes. ,” in <i>Proceedings of the Tenth Congress
    of the European Society for Research in Mathematics Education</i>, 2017, pp. 1292–1299.
  mla: Häsel-Weide, Uta. “Occasions for Productive Interactions in Inclusives Mathematics
    Classrooms That Arise Following Mistakes. .” <i>Proceedings of the Tenth Congress
    of the European Society for Research in Mathematics Education</i>, edited by T.
    Dooley and G. Gueudet, DCU Institude of Education and ERME, 2017, pp. 1292–99.
  short: 'U. Häsel-Weide, in: T. Dooley, G. Gueudet (Eds.), Proceedings of the Tenth
    Congress of the European Society for Research in Mathematics Education, DCU Institude
    of Education and ERME, Dublin, 2017, pp. 1292–1299.'
date_created: 2022-06-08T09:57:15Z
date_updated: 2022-06-08T09:57:19Z
department:
- _id: '98'
- _id: '543'
editor:
- first_name: T.
  full_name: Dooley, T.
  last_name: Dooley
- first_name: G.
  full_name: Gueudet, G.
  last_name: Gueudet
language:
- iso: eng
page: 1292-1299
place: Dublin
publication: Proceedings of the Tenth Congress of the European Society for Research
  in Mathematics Education
publication_status: published
publisher: DCU Institude of Education and ERME
status: public
title: 'Occasions for productive interactions in inclusives mathematics classrooms
  that arise following mistakes. '
type: conference
user_id: '85821'
year: '2017'
...
---
_id: '31856'
citation:
  ama: Häsel-Weide U, Nührenbörger M, eds. <i>Gemeinsam Mathematik lernen. Mit allen
    Kindern rechnen.</i> Grundschulverband e. V.; 2017.
  apa: Häsel-Weide, U., &#38; Nührenbörger, M. (Eds.). (2017). <i>Gemeinsam Mathematik
    lernen. Mit allen Kindern rechnen.</i> Grundschulverband e. V.
  bibtex: '@book{Häsel-Weide_Nührenbörger_2017, place={Frankfurt a. Main}, title={Gemeinsam
    Mathematik lernen. Mit allen Kindern rechnen.}, publisher={Grundschulverband e.
    V.}, year={2017} }'
  chicago: 'Häsel-Weide, Uta, and M. Nührenbörger, eds. <i>Gemeinsam Mathematik lernen.
    Mit allen Kindern rechnen.</i> Frankfurt a. Main: Grundschulverband e. V., 2017.'
  ieee: 'U. Häsel-Weide and M. Nührenbörger, Eds., <i>Gemeinsam Mathematik lernen.
    Mit allen Kindern rechnen.</i> Frankfurt a. Main: Grundschulverband e. V., 2017.'
  mla: Häsel-Weide, Uta, and M. Nührenbörger, editors. <i>Gemeinsam Mathematik lernen.
    Mit allen Kindern rechnen.</i> Grundschulverband e. V., 2017.
  short: U. Häsel-Weide, M. Nührenbörger, eds., Gemeinsam Mathematik lernen. Mit allen
    Kindern rechnen., Grundschulverband e. V., Frankfurt a. Main, 2017.
date_created: 2022-06-13T09:08:09Z
date_updated: 2022-06-13T09:08:13Z
department:
- _id: '98'
- _id: '543'
editor:
- first_name: Uta
  full_name: Häsel-Weide, Uta
  id: '60267'
  last_name: Häsel-Weide
- first_name: M.
  full_name: Nührenbörger, M.
  last_name: Nührenbörger
language:
- iso: ger
page: '297'
place: Frankfurt a. Main
publication_identifier:
  isbn:
  - 978-3-941649-22-4
publication_status: published
publisher: Grundschulverband e. V.
related_material:
  link:
  - relation: table_of_contents
    url: https://grundschulverband.de/wp-content/uploads/2017/10/GSV-Band-144_Inhaltsverzeichnis.pdf
status: public
title: Gemeinsam Mathematik lernen. Mit allen Kindern rechnen.
type: book_editor
user_id: '85821'
year: '2017'
...
---
_id: '31852'
author:
- first_name: Uta
  full_name: Häsel-Weide, Uta
  id: '60267'
  last_name: Häsel-Weide
- first_name: T.
  full_name: Breucker, T.
  last_name: Breucker
- first_name: Marcus
  full_name: Nührenbörger, Marcus
  last_name: Nührenbörger
citation:
  ama: Häsel-Weide U, Breucker T, Nührenbörger M. <i>Förderheft zum Zahlenbuch 1</i>.
    Klett; 2017.
  apa: Häsel-Weide, U., Breucker, T., &#38; Nührenbörger, M. (2017). <i>Förderheft
    zum Zahlenbuch 1</i>. Klett.
  bibtex: '@book{Häsel-Weide_Breucker_Nührenbörger_2017, place={Leipzig}, title={Förderheft
    zum Zahlenbuch 1}, publisher={Klett}, author={Häsel-Weide, Uta and Breucker, T.
    and Nührenbörger, Marcus}, year={2017} }'
  chicago: 'Häsel-Weide, Uta, T. Breucker, and Marcus Nührenbörger. <i>Förderheft
    zum Zahlenbuch 1</i>. Leipzig: Klett, 2017.'
  ieee: 'U. Häsel-Weide, T. Breucker, and M. Nührenbörger, <i>Förderheft zum Zahlenbuch
    1</i>. Leipzig: Klett, 2017.'
  mla: Häsel-Weide, Uta, et al. <i>Förderheft zum Zahlenbuch 1</i>. Klett, 2017.
  short: U. Häsel-Weide, T. Breucker, M. Nührenbörger, Förderheft zum Zahlenbuch 1,
    Klett, Leipzig, 2017.
date_created: 2022-06-13T09:00:26Z
date_updated: 2022-06-13T09:00:39Z
department:
- _id: '98'
- _id: '543'
language:
- iso: ger
place: Leipzig
publication_status: published
publisher: Klett
status: public
title: Förderheft zum Zahlenbuch 1
type: misc
user_id: '85821'
year: '2017'
...
---
_id: '31853'
author:
- first_name: Uta
  full_name: Häsel-Weide, Uta
  id: '60267'
  last_name: Häsel-Weide
- first_name: M.
  full_name: Nührenbörger, M.
  last_name: Nührenbörger
citation:
  ama: Häsel-Weide U, Nührenbörger M. <i>Förderkommentar Lernen zum Zahlenbuch 1</i>.
    Klett; 2017.
  apa: Häsel-Weide, U., &#38; Nührenbörger, M. (2017). <i>Förderkommentar Lernen zum
    Zahlenbuch 1</i>. Klett.
  bibtex: '@book{Häsel-Weide_Nührenbörger_2017, place={Leipzig}, title={Förderkommentar
    Lernen zum Zahlenbuch 1}, publisher={Klett}, author={Häsel-Weide, Uta and Nührenbörger,
    M.}, year={2017} }'
  chicago: 'Häsel-Weide, Uta, and M. Nührenbörger. <i>Förderkommentar Lernen zum Zahlenbuch
    1</i>. Leipzig: Klett, 2017.'
  ieee: 'U. Häsel-Weide and M. Nührenbörger, <i>Förderkommentar Lernen zum Zahlenbuch
    1</i>. Leipzig: Klett, 2017.'
  mla: Häsel-Weide, Uta, and M. Nührenbörger. <i>Förderkommentar Lernen zum Zahlenbuch
    1</i>. Klett, 2017.
  short: U. Häsel-Weide, M. Nührenbörger, Förderkommentar Lernen zum Zahlenbuch 1,
    Klett, Leipzig, 2017.
date_created: 2022-06-13T09:02:37Z
date_updated: 2022-06-13T09:02:44Z
department:
- _id: '98'
- _id: '543'
language:
- iso: ger
place: Leipzig
publication_status: published
publisher: Klett
status: public
title: Förderkommentar Lernen zum Zahlenbuch 1
type: misc
user_id: '85821'
year: '2017'
...
---
_id: '31854'
author:
- first_name: Uta
  full_name: Häsel-Weide, Uta
  id: '60267'
  last_name: Häsel-Weide
citation:
  ama: Häsel-Weide U. <i>Das Zahlenbuch. Förderkommentar Lernen zum 2. Schuljahr</i>.
    Klett; 2017.
  apa: Häsel-Weide, U. (2017). <i>Das Zahlenbuch. Förderkommentar Lernen zum 2. Schuljahr</i>.
    Klett.
  bibtex: '@book{Häsel-Weide_2017, place={Leipzig}, title={Das Zahlenbuch. Förderkommentar
    Lernen zum 2. Schuljahr}, publisher={Klett}, author={Häsel-Weide, Uta}, year={2017}
    }'
  chicago: 'Häsel-Weide, Uta. <i>Das Zahlenbuch. Förderkommentar Lernen zum 2. Schuljahr</i>.
    Leipzig: Klett, 2017.'
  ieee: 'U. Häsel-Weide, <i>Das Zahlenbuch. Förderkommentar Lernen zum 2. Schuljahr</i>.
    Leipzig: Klett, 2017.'
  mla: Häsel-Weide, Uta. <i>Das Zahlenbuch. Förderkommentar Lernen zum 2. Schuljahr</i>.
    Klett, 2017.
  short: U. Häsel-Weide, Das Zahlenbuch. Förderkommentar Lernen zum 2. Schuljahr,
    Klett, Leipzig, 2017.
date_created: 2022-06-13T09:04:02Z
date_updated: 2022-06-13T09:04:09Z
department:
- _id: '98'
- _id: '543'
language:
- iso: ger
place: Leipzig
publication_status: published
publisher: Klett
status: public
title: Das Zahlenbuch. Förderkommentar Lernen zum 2. Schuljahr
type: misc
user_id: '85821'
year: '2017'
...
---
_id: '31855'
author:
- first_name: Uta
  full_name: Häsel-Weide, Uta
  id: '60267'
  last_name: Häsel-Weide
- first_name: M.
  full_name: Nührenbörger, M.
  last_name: Nührenbörger
citation:
  ama: Häsel-Weide U, Nührenbörger M. <i>Das Zahlenbuch 2. Förderheft.</i> Klett;
    2017.
  apa: Häsel-Weide, U., &#38; Nührenbörger, M. (2017). <i>Das Zahlenbuch 2. Förderheft.</i>
    Klett.
  bibtex: '@book{Häsel-Weide_Nührenbörger_2017, place={Leipzig}, title={Das Zahlenbuch
    2. Förderheft.}, publisher={Klett}, author={Häsel-Weide, Uta and Nührenbörger,
    M.}, year={2017} }'
  chicago: 'Häsel-Weide, Uta, and M. Nührenbörger. <i>Das Zahlenbuch 2. Förderheft.</i>
    Leipzig: Klett, 2017.'
  ieee: 'U. Häsel-Weide and M. Nührenbörger, <i>Das Zahlenbuch 2. Förderheft.</i>
    Leipzig: Klett, 2017.'
  mla: Häsel-Weide, Uta, and M. Nührenbörger. <i>Das Zahlenbuch 2. Förderheft.</i>
    Klett, 2017.
  short: U. Häsel-Weide, M. Nührenbörger, Das Zahlenbuch 2. Förderheft., Klett, Leipzig,
    2017.
date_created: 2022-06-13T09:05:13Z
date_updated: 2022-06-13T09:05:19Z
department:
- _id: '98'
- _id: '543'
language:
- iso: ger
place: Leipzig
publication_status: published
publisher: Klett
status: public
title: Das Zahlenbuch 2. Förderheft.
type: misc
user_id: '85821'
year: '2017'
...
---
_id: '31861'
author:
- first_name: Uta
  full_name: Häsel-Weide, Uta
  id: '60267'
  last_name: Häsel-Weide
- first_name: M.
  full_name: Nührenbörger, M.
  last_name: Nührenbörger
citation:
  ama: 'Häsel-Weide U, Nührenbörger M. Produktives Fördern im inklusiven Mathematikunterricht
    - Möglichkeiten einer mathematisch ausgerichteten Diagnose und individuellen Förderung.
    In: Helmich F, Blumberg E, eds. <i>Inklusiver Unterricht in der Grundschule</i>.
    1st ed. Kohlhammer; 2017:213-228.'
  apa: Häsel-Weide, U., &#38; Nührenbörger, M. (2017). Produktives Fördern im inklusiven
    Mathematikunterricht - Möglichkeiten einer mathematisch ausgerichteten Diagnose
    und individuellen Förderung. In F. Helmich &#38; E. Blumberg (Eds.), <i>Inklusiver
    Unterricht in der Grundschule</i> (1st ed., pp. 213–228). Kohlhammer.
  bibtex: '@inbook{Häsel-Weide_Nührenbörger_2017, place={Stuttgart}, edition={1},
    title={Produktives Fördern im inklusiven Mathematikunterricht - Möglichkeiten
    einer mathematisch ausgerichteten Diagnose und individuellen Förderung.}, booktitle={Inklusiver
    Unterricht in der Grundschule}, publisher={Kohlhammer}, author={Häsel-Weide, Uta
    and Nührenbörger, M.}, editor={Helmich, F. and Blumberg, E.}, year={2017}, pages={213–228}
    }'
  chicago: 'Häsel-Weide, Uta, and M. Nührenbörger. “Produktives Fördern im inklusiven
    Mathematikunterricht - Möglichkeiten einer mathematisch ausgerichteten Diagnose
    und individuellen Förderung.” In <i>Inklusiver Unterricht in der Grundschule</i>,
    edited by F. Helmich and E. Blumberg, 1st ed., 213–28. Stuttgart: Kohlhammer,
    2017.'
  ieee: 'U. Häsel-Weide and M. Nührenbörger, “Produktives Fördern im inklusiven Mathematikunterricht
    - Möglichkeiten einer mathematisch ausgerichteten Diagnose und individuellen Förderung.,”
    in <i>Inklusiver Unterricht in der Grundschule</i>, 1st ed., F. Helmich and E.
    Blumberg, Eds. Stuttgart: Kohlhammer, 2017, pp. 213–228.'
  mla: Häsel-Weide, Uta, and M. Nührenbörger. “Produktives Fördern im inklusiven Mathematikunterricht
    - Möglichkeiten einer mathematisch ausgerichteten Diagnose und individuellen Förderung.”
    <i>Inklusiver Unterricht in der Grundschule</i>, edited by F. Helmich and E. Blumberg,
    1st ed., Kohlhammer, 2017, pp. 213–28.
  short: 'U. Häsel-Weide, M. Nührenbörger, in: F. Helmich, E. Blumberg (Eds.), Inklusiver
    Unterricht in der Grundschule, 1st ed., Kohlhammer, Stuttgart, 2017, pp. 213–228.'
date_created: 2022-06-13T09:20:40Z
date_updated: 2022-06-13T09:20:44Z
department:
- _id: '98'
- _id: '543'
edition: '1'
editor:
- first_name: F.
  full_name: Helmich, F.
  last_name: Helmich
- first_name: E.
  full_name: Blumberg, E.
  last_name: Blumberg
language:
- iso: ger
page: 213-228
place: Stuttgart
publication: Inklusiver Unterricht in der Grundschule
publication_identifier:
  unknown:
  - 978-3170259997
publication_status: published
publisher: Kohlhammer
status: public
title: Produktives Fördern im inklusiven Mathematikunterricht - Möglichkeiten einer
  mathematisch ausgerichteten Diagnose und individuellen Förderung.
type: book_chapter
user_id: '85821'
year: '2017'
...
---
_id: '31862'
author:
- first_name: Uta
  full_name: Häsel-Weide, Uta
  id: '60267'
  last_name: Häsel-Weide
- first_name: S.
  full_name: Prediger, S.
  last_name: Prediger
citation:
  ama: 'Häsel-Weide U, Prediger S. Förderung und Diagnose im Mathematikunterricht
    - Begriffe, Planungsfragen und Ansätze. In: Abshagen M, Barzel B, Kramer J, Riecke-Baulecke
    T, Rösken-Winter B, Selter C, eds. <i>Basiswissen Lehrerbildung: Mathematik unterrichten</i>.
    1st ed. Klett Kallmeyer; 2017:167-181.'
  apa: 'Häsel-Weide, U., &#38; Prediger, S. (2017). Förderung und Diagnose im Mathematikunterricht
    - Begriffe, Planungsfragen und Ansätze. In M. Abshagen, B. Barzel, J. Kramer,
    T. Riecke-Baulecke, B. Rösken-Winter, &#38; C. Selter (Eds.), <i>Basiswissen Lehrerbildung:
    Mathematik unterrichten</i> (1st ed., pp. 167–181). Klett Kallmeyer.'
  bibtex: '@inbook{Häsel-Weide_Prediger_2017, place={Seelze}, edition={1}, title={Förderung
    und Diagnose im Mathematikunterricht - Begriffe, Planungsfragen und Ansätze.},
    booktitle={Basiswissen Lehrerbildung: Mathematik unterrichten}, publisher={Klett
    Kallmeyer}, author={Häsel-Weide, Uta and Prediger, S.}, editor={Abshagen, M. and
    Barzel, B. and Kramer, J. and Riecke-Baulecke, T. and Rösken-Winter, B. and Selter,
    C.}, year={2017}, pages={167–181} }'
  chicago: 'Häsel-Weide, Uta, and S. Prediger. “Förderung und Diagnose im Mathematikunterricht
    - Begriffe, Planungsfragen und Ansätze.” In <i>Basiswissen Lehrerbildung: Mathematik
    unterrichten</i>, edited by M. Abshagen, B. Barzel, J. Kramer, T. Riecke-Baulecke,
    B. Rösken-Winter, and C. Selter, 1st ed., 167–81. Seelze: Klett Kallmeyer, 2017.'
  ieee: 'U. Häsel-Weide and S. Prediger, “Förderung und Diagnose im Mathematikunterricht
    - Begriffe, Planungsfragen und Ansätze.,” in <i>Basiswissen Lehrerbildung: Mathematik
    unterrichten</i>, 1st ed., M. Abshagen, B. Barzel, J. Kramer, T. Riecke-Baulecke,
    B. Rösken-Winter, and C. Selter, Eds. Seelze: Klett Kallmeyer, 2017, pp. 167–181.'
  mla: 'Häsel-Weide, Uta, and S. Prediger. “Förderung und Diagnose im Mathematikunterricht
    - Begriffe, Planungsfragen und Ansätze.” <i>Basiswissen Lehrerbildung: Mathematik
    unterrichten</i>, edited by M. Abshagen et al., 1st ed., Klett Kallmeyer, 2017,
    pp. 167–81.'
  short: 'U. Häsel-Weide, S. Prediger, in: M. Abshagen, B. Barzel, J. Kramer, T. Riecke-Baulecke,
    B. Rösken-Winter, C. Selter (Eds.), Basiswissen Lehrerbildung: Mathematik unterrichten,
    1st ed., Klett Kallmeyer, Seelze, 2017, pp. 167–181.'
date_created: 2022-06-13T09:27:16Z
date_updated: 2022-06-13T09:27:19Z
department:
- _id: '98'
- _id: '543'
edition: '1'
editor:
- first_name: M.
  full_name: Abshagen, M.
  last_name: Abshagen
- first_name: B.
  full_name: Barzel, B.
  last_name: Barzel
- first_name: J.
  full_name: Kramer, J.
  last_name: Kramer
- first_name: T.
  full_name: Riecke-Baulecke, T.
  last_name: Riecke-Baulecke
- first_name: B.
  full_name: Rösken-Winter, B.
  last_name: Rösken-Winter
- first_name: C.
  full_name: Selter, C.
  last_name: Selter
language:
- iso: ger
page: 167-181
place: Seelze
publication: 'Basiswissen Lehrerbildung: Mathematik unterrichten'
publication_identifier:
  unknown:
  - 978-3772710841
publication_status: published
publisher: Klett Kallmeyer
status: public
title: Förderung und Diagnose im Mathematikunterricht - Begriffe, Planungsfragen und
  Ansätze.
type: book_chapter
user_id: '85821'
year: '2017'
...
