---
_id: '45384'
author:
- first_name: Jennifer
  full_name: Dröse, Jennifer
  id: '85820'
  last_name: Dröse
citation:
  ama: 'Dröse J. Verstehensgrundlagen diagnostizieren - Welche Wissenselemente fokussieren
    Lehrkräfte? In: Siller H-S, Weigel W, Wöler JF, eds. <i>Beiträge zum Mathematikunterricht
    2020 </i>. WTM; 2020:233-236.'
  apa: Dröse, J. (2020). Verstehensgrundlagen diagnostizieren - Welche Wissenselemente
    fokussieren Lehrkräfte? In H.-S. Siller, W. Weigel, &#38; J. F. Wöler (Eds.),
    <i>Beiträge zum Mathematikunterricht 2020 </i> (pp. 233–236). WTM.
  bibtex: '@inproceedings{Dröse_2020, place={Münster}, title={Verstehensgrundlagen
    diagnostizieren - Welche Wissenselemente fokussieren Lehrkräfte?}, booktitle={Beiträge
    zum Mathematikunterricht 2020 }, publisher={WTM}, author={Dröse, Jennifer}, editor={Siller,
    H.-S. and Weigel, W. and Wöler, J. F.}, year={2020}, pages={233–236} }'
  chicago: 'Dröse, Jennifer. “Verstehensgrundlagen diagnostizieren - Welche Wissenselemente
    fokussieren Lehrkräfte?” In <i>Beiträge zum Mathematikunterricht 2020 </i>, edited
    by H.-S. Siller, W. Weigel, and J. F. Wöler, 233–36. Münster: WTM, 2020.'
  ieee: J. Dröse, “Verstehensgrundlagen diagnostizieren - Welche Wissenselemente fokussieren
    Lehrkräfte?,” in <i>Beiträge zum Mathematikunterricht 2020 </i>, 2020, pp. 233–236.
  mla: Dröse, Jennifer. “Verstehensgrundlagen diagnostizieren - Welche Wissenselemente
    fokussieren Lehrkräfte?” <i>Beiträge zum Mathematikunterricht 2020 </i>, edited
    by H.-S. Siller et al., WTM, 2020, pp. 233–36.
  short: 'J. Dröse, in: H.-S. Siller, W. Weigel, J.F. Wöler (Eds.), Beiträge zum Mathematikunterricht
    2020 , WTM, Münster, 2020, pp. 233–236.'
date_created: 2023-05-31T07:18:51Z
date_updated: 2023-11-02T08:09:21Z
department:
- _id: '98'
editor:
- first_name: H.-S.
  full_name: Siller, H.-S.
  last_name: Siller
- first_name: W.
  full_name: Weigel, W.
  last_name: Weigel
- first_name: J. F.
  full_name: Wöler, J. F.
  last_name: Wöler
language:
- iso: ger
page: 233-236
place: Münster
publication: 'Beiträge zum Mathematikunterricht 2020 '
publisher: WTM
status: public
title: Verstehensgrundlagen diagnostizieren - Welche Wissenselemente fokussieren Lehrkräfte?
type: conference
user_id: '85820'
year: '2020'
...
---
_id: '45386'
author:
- first_name: Jennifer
  full_name: Dröse, Jennifer
  id: '85820'
  last_name: Dröse
- first_name: V.
  full_name: Eisen, V.
  last_name: Eisen
- first_name: Susanne
  full_name: Prediger, Susanne
  last_name: Prediger
- first_name: M.
  full_name: Altieri, M.
  last_name: Altieri
- first_name: M.
  full_name: Schellenbach, M.
  last_name: Schellenbach
- first_name: R.
  full_name: Menning, R.
  last_name: Menning
citation:
  ama: 'Dröse J, Eisen V, Prediger S, Altieri M, Schellenbach M, Menning R. Textaufgaben
    lesen lernen – eine digital gestützte Einheit mit App . In: <i>Mathematik lehren
    223</i>. ; 2020:38-40.'
  apa: Dröse, J., Eisen, V., Prediger, S., Altieri, M., Schellenbach, M., &#38; Menning,
    R. (2020). Textaufgaben lesen lernen – eine digital gestützte Einheit mit App
    . In <i>Mathematik lehren 223</i> (pp. 38–40).
  bibtex: '@inbook{Dröse_Eisen_Prediger_Altieri_Schellenbach_Menning_2020, title={Textaufgaben
    lesen lernen – eine digital gestützte Einheit mit App }, booktitle={Mathematik
    lehren 223}, author={Dröse, Jennifer and Eisen, V. and Prediger, Susanne and Altieri,
    M. and Schellenbach, M. and Menning, R.}, year={2020}, pages={38–40} }'
  chicago: Dröse, Jennifer, V. Eisen, Susanne Prediger, M. Altieri, M. Schellenbach,
    and R. Menning. “Textaufgaben lesen lernen – eine digital gestützte Einheit mit
    App .” In <i>Mathematik lehren 223</i>, 38–40, 2020.
  ieee: J. Dröse, V. Eisen, S. Prediger, M. Altieri, M. Schellenbach, and R. Menning,
    “Textaufgaben lesen lernen – eine digital gestützte Einheit mit App ,” in <i>Mathematik
    lehren 223</i>, 2020, pp. 38–40.
  mla: Dröse, Jennifer, et al. “Textaufgaben lesen lernen – eine digital gestützte
    Einheit mit App .” <i>Mathematik lehren 223</i>, 2020, pp. 38–40.
  short: 'J. Dröse, V. Eisen, S. Prediger, M. Altieri, M. Schellenbach, R. Menning,
    in: Mathematik lehren 223, 2020, pp. 38–40.'
date_created: 2023-05-31T07:42:06Z
date_updated: 2023-11-02T08:09:54Z
department:
- _id: '98'
language:
- iso: ger
page: 38-40
publication: Mathematik lehren 223
status: public
title: 'Textaufgaben lesen lernen – eine digital gestützte Einheit mit App '
type: book_chapter
user_id: '85820'
year: '2020'
...
---
_id: '17994'
abstract:
- lang: eng
  text: In this work we review the novel framework for the computation of finite dimensional
    invariant sets of infinite dimensional dynamical systems developed in [6] and
    [36]. By utilizing results on embedding techniques for infinite dimensional systems
    we extend a classical subdivision scheme [8] as well as a continuation algorithm
    [7] for the computation of attractors and invariant manifolds of finite dimensional
    systems to the infinite dimensional case. We show how to implement this approach
    for the analysis of delay differential equations and partial differential equations
    and illustrate the feasibility of our implementation by computing the attractor
    of the Mackey-Glass equation and the unstable manifold of the one-dimensional
    Kuramoto-Sivashinsky equation.
author:
- first_name: Raphael
  full_name: Gerlach, Raphael
  id: '32655'
  last_name: Gerlach
- first_name: Adrian
  full_name: Ziessler, Adrian
  last_name: Ziessler
citation:
  ama: 'Gerlach R, Ziessler A. The Approximation of Invariant Sets in Infinite Dimensional
    Dynamical Systems. In: Junge O, Schütze O, Ober-Blöbaum S, Padberg-Gehle K, eds.
    <i>Advances in Dynamics, Optimization and Computation</i>. Vol 304. Studies in
    Systems, Decision and Control. Springer International Publishing; 2020:66-85.
    doi:<a href="https://doi.org/10.1007/978-3-030-51264-4_3">10.1007/978-3-030-51264-4_3</a>'
  apa: Gerlach, R., &#38; Ziessler, A. (2020). The Approximation of Invariant Sets
    in Infinite Dimensional Dynamical Systems. In O. Junge, O. Schütze, S. Ober-Blöbaum,
    &#38; K. Padberg-Gehle (Eds.), <i>Advances in Dynamics, Optimization and Computation</i>
    (Vol. 304, pp. 66–85). Springer International Publishing. <a href="https://doi.org/10.1007/978-3-030-51264-4_3">https://doi.org/10.1007/978-3-030-51264-4_3</a>
  bibtex: '@inbook{Gerlach_Ziessler_2020, place={Cham}, series={Studies in Systems,
    Decision and Control}, title={The Approximation of Invariant Sets in Infinite
    Dimensional Dynamical Systems}, volume={304}, DOI={<a href="https://doi.org/10.1007/978-3-030-51264-4_3">10.1007/978-3-030-51264-4_3</a>},
    booktitle={Advances in Dynamics, Optimization and Computation}, publisher={Springer
    International Publishing}, author={Gerlach, Raphael and Ziessler, Adrian}, editor={Junge,
    Oliver and Schütze, Oliver and Ober-Blöbaum, Sina and Padberg-Gehle, Kathrin},
    year={2020}, pages={66–85}, collection={Studies in Systems, Decision and Control}
    }'
  chicago: 'Gerlach, Raphael, and Adrian Ziessler. “The Approximation of Invariant
    Sets in Infinite Dimensional Dynamical Systems.” In <i>Advances in Dynamics, Optimization
    and Computation</i>, edited by Oliver Junge, Oliver Schütze, Sina Ober-Blöbaum,
    and Kathrin Padberg-Gehle, 304:66–85. Studies in Systems, Decision and Control.
    Cham: Springer International Publishing, 2020. <a href="https://doi.org/10.1007/978-3-030-51264-4_3">https://doi.org/10.1007/978-3-030-51264-4_3</a>.'
  ieee: 'R. Gerlach and A. Ziessler, “The Approximation of Invariant Sets in Infinite
    Dimensional Dynamical Systems,” in <i>Advances in Dynamics, Optimization and Computation</i>,
    vol. 304, O. Junge, O. Schütze, S. Ober-Blöbaum, and K. Padberg-Gehle, Eds. Cham:
    Springer International Publishing, 2020, pp. 66–85.'
  mla: Gerlach, Raphael, and Adrian Ziessler. “The Approximation of Invariant Sets
    in Infinite Dimensional Dynamical Systems.” <i>Advances in Dynamics, Optimization
    and Computation</i>, edited by Oliver Junge et al., vol. 304, Springer International
    Publishing, 2020, pp. 66–85, doi:<a href="https://doi.org/10.1007/978-3-030-51264-4_3">10.1007/978-3-030-51264-4_3</a>.
  short: 'R. Gerlach, A. Ziessler, in: O. Junge, O. Schütze, S. Ober-Blöbaum, K. Padberg-Gehle
    (Eds.), Advances in Dynamics, Optimization and Computation, Springer International
    Publishing, Cham, 2020, pp. 66–85.'
date_created: 2020-08-14T15:02:22Z
date_updated: 2023-11-17T13:13:25Z
department:
- _id: '101'
doi: 10.1007/978-3-030-51264-4_3
editor:
- first_name: Oliver
  full_name: Junge, Oliver
  last_name: Junge
- first_name: Oliver
  full_name: Schütze, Oliver
  last_name: Schütze
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  last_name: Ober-Blöbaum
- first_name: Kathrin
  full_name: Padberg-Gehle, Kathrin
  last_name: Padberg-Gehle
intvolume: '       304'
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/chapter/10.1007/978-3-030-51264-4_3
page: 66-85
place: Cham
publication: Advances in Dynamics, Optimization and Computation
publication_identifier:
  isbn:
  - '9783030512637'
  - '9783030512644'
  issn:
  - 2198-4182
  - 2198-4190
publication_status: published
publisher: Springer International Publishing
series_title: Studies in Systems, Decision and Control
status: public
title: The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems
type: book_chapter
user_id: '32655'
volume: 304
year: '2020'
...
---
_id: '16712'
abstract:
- lang: eng
  text: We investigate self-adjoint matrices A∈Rn,n with respect to their equivariance
    properties. We show in particular that a matrix is self-adjoint if and only if
    it is equivariant with respect to the action of a group Γ2(A)⊂O(n) which is isomorphic
    to ⊗nk=1Z2. If the self-adjoint matrix possesses multiple eigenvalues – this may,
    for instance, be induced by symmetry properties of an underlying dynamical system
    – then A is even equivariant with respect to the action of a group Γ(A)≃∏ki=1O(mi)
    where m1,…,mk are the multiplicities of the eigenvalues λ1,…,λk of A. We discuss
    implications of this result for equivariant bifurcation problems, and we briefly
    address further applications for the Procrustes problem, graph symmetries and
    Taylor expansions.
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Bennet
  full_name: Gebken, Bennet
  id: '32643'
  last_name: Gebken
- first_name: Raphael
  full_name: Gerlach, Raphael
  id: '32655'
  last_name: Gerlach
- first_name: Stefan
  full_name: Klus, Stefan
  last_name: Klus
citation:
  ama: Dellnitz M, Gebken B, Gerlach R, Klus S. On the equivariance properties of
    self-adjoint matrices. <i>Dynamical Systems</i>. 2020;35(2):197-215. doi:<a href="https://doi.org/10.1080/14689367.2019.1661355">10.1080/14689367.2019.1661355</a>
  apa: Dellnitz, M., Gebken, B., Gerlach, R., &#38; Klus, S. (2020). On the equivariance
    properties of self-adjoint matrices. <i>Dynamical Systems</i>, <i>35</i>(2), 197–215.
    <a href="https://doi.org/10.1080/14689367.2019.1661355">https://doi.org/10.1080/14689367.2019.1661355</a>
  bibtex: '@article{Dellnitz_Gebken_Gerlach_Klus_2020, title={On the equivariance
    properties of self-adjoint matrices}, volume={35}, DOI={<a href="https://doi.org/10.1080/14689367.2019.1661355">10.1080/14689367.2019.1661355</a>},
    number={2}, journal={Dynamical Systems}, author={Dellnitz, Michael and Gebken,
    Bennet and Gerlach, Raphael and Klus, Stefan}, year={2020}, pages={197–215} }'
  chicago: 'Dellnitz, Michael, Bennet Gebken, Raphael Gerlach, and Stefan Klus. “On
    the Equivariance Properties of Self-Adjoint Matrices.” <i>Dynamical Systems</i>
    35, no. 2 (2020): 197–215. <a href="https://doi.org/10.1080/14689367.2019.1661355">https://doi.org/10.1080/14689367.2019.1661355</a>.'
  ieee: 'M. Dellnitz, B. Gebken, R. Gerlach, and S. Klus, “On the equivariance properties
    of self-adjoint matrices,” <i>Dynamical Systems</i>, vol. 35, no. 2, pp. 197–215,
    2020, doi: <a href="https://doi.org/10.1080/14689367.2019.1661355">10.1080/14689367.2019.1661355</a>.'
  mla: Dellnitz, Michael, et al. “On the Equivariance Properties of Self-Adjoint Matrices.”
    <i>Dynamical Systems</i>, vol. 35, no. 2, 2020, pp. 197–215, doi:<a href="https://doi.org/10.1080/14689367.2019.1661355">10.1080/14689367.2019.1661355</a>.
  short: M. Dellnitz, B. Gebken, R. Gerlach, S. Klus, Dynamical Systems 35 (2020)
    197–215.
date_created: 2020-04-16T14:07:25Z
date_updated: 2023-11-17T13:12:59Z
department:
- _id: '101'
doi: 10.1080/14689367.2019.1661355
intvolume: '        35'
issue: '2'
language:
- iso: eng
main_file_link:
- url: https://doi.org/10.1080/14689367.2019.1661355
page: 197-215
publication: Dynamical Systems
publication_identifier:
  issn:
  - 1468-9367
  - 1468-9375
publication_status: published
status: public
title: On the equivariance properties of self-adjoint matrices
type: journal_article
user_id: '32655'
volume: 35
year: '2020'
...
---
_id: '51386'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: H.
  full_name: Barnum, H.
  last_name: Barnum
citation:
  ama: Hilgert J, Barnum H. Spectral Properties of Convex Bodies. <i>J of Lie Theory</i>.
    2020;30:315-344.
  apa: Hilgert, J., &#38; Barnum, H. (2020). Spectral Properties of Convex Bodies.
    <i>J. of Lie Theory</i>, <i>30</i>, 315–344.
  bibtex: '@article{Hilgert_Barnum_2020, title={Spectral Properties of Convex Bodies},
    volume={30}, journal={J. of Lie Theory}, author={Hilgert, Joachim and Barnum,
    H.}, year={2020}, pages={315–344} }'
  chicago: 'Hilgert, Joachim, and H. Barnum. “Spectral Properties of Convex Bodies.”
    <i>J. of Lie Theory</i> 30 (2020): 315–44.'
  ieee: J. Hilgert and H. Barnum, “Spectral Properties of Convex Bodies,” <i>J. of
    Lie Theory</i>, vol. 30, pp. 315–344, 2020.
  mla: Hilgert, Joachim, and H. Barnum. “Spectral Properties of Convex Bodies.” <i>J.
    of Lie Theory</i>, vol. 30, 2020, pp. 315–44.
  short: J. Hilgert, H. Barnum, J. of Lie Theory 30 (2020) 315–344.
date_created: 2024-02-19T06:37:21Z
date_updated: 2024-02-19T06:39:48Z
department:
- _id: '91'
intvolume: '        30'
language:
- iso: eng
page: 315-344
publication: J. of Lie Theory
publication_status: published
status: public
title: Spectral Properties of Convex Bodies
type: journal_article
user_id: '49063'
volume: 30
year: '2020'
...
---
_id: '51559'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: 'Hilgert J. Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful
    and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige
    Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019. <i>Mathematische
    Semesterberichte</i>. 2020;67:301–305. doi:<a href="https://doi.org/10.1007/s00591-020-00282-4">10.1007/s00591-020-00282-4</a>'
  apa: 'Hilgert, J. (2020). Titu Andreescu und Vlad Crisan: Mathematical Induction
    – A powerful and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk:
    Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum
    2019. In <i>Mathematische Semesterberichte</i> (Vol. 67, pp. 301–305). <a href="https://doi.org/10.1007/s00591-020-00282-4">https://doi.org/10.1007/s00591-020-00282-4</a>'
  bibtex: '@article{Hilgert_2020, title={Titu Andreescu und Vlad Crisan: Mathematical
    Induction – A powerful and elegant method of proof. XYZ Press 2017 und Florian
    André Dalwigk: Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen.
    Springer Spektrum 2019}, volume={67}, DOI={<a href="https://doi.org/10.1007/s00591-020-00282-4">10.1007/s00591-020-00282-4</a>},
    journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020},
    pages={301–305} }'
  chicago: 'Hilgert, Joachim. “Titu Andreescu Und Vlad Crisan: Mathematical Induction
    – A Powerful and Elegant Method of Proof. XYZ Press 2017 Und Florian André Dalwigk:
    Vollständige Induktion – Beispiele Und Aufgaben Bis Zum Umfallen. Springer Spektrum
    2019.” <i>Mathematische Semesterberichte</i>, 2020. <a href="https://doi.org/10.1007/s00591-020-00282-4">https://doi.org/10.1007/s00591-020-00282-4</a>.'
  ieee: 'J. Hilgert, “Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful
    and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige
    Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019,”
    <i>Mathematische Semesterberichte</i>, vol. 67. pp. 301–305, 2020, doi: <a href="https://doi.org/10.1007/s00591-020-00282-4">10.1007/s00591-020-00282-4</a>.'
  mla: 'Hilgert, Joachim. “Titu Andreescu Und Vlad Crisan: Mathematical Induction
    – A Powerful and Elegant Method of Proof. XYZ Press 2017 Und Florian André Dalwigk:
    Vollständige Induktion – Beispiele Und Aufgaben Bis Zum Umfallen. Springer Spektrum
    2019.” <i>Mathematische Semesterberichte</i>, vol. 67, 2020, pp. 301–305, doi:<a
    href="https://doi.org/10.1007/s00591-020-00282-4">10.1007/s00591-020-00282-4</a>.'
  short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 301–305.
date_created: 2024-02-20T10:01:02Z
date_updated: 2024-02-20T10:03:50Z
department:
- _id: '91'
doi: 10.1007/s00591-020-00282-4
intvolume: '        67'
language:
- iso: eng
page: 301–305
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful and elegant
  method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige Induktion
  – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019'
type: review
user_id: '49063'
volume: 67
year: '2020'
...
---
_id: '51557'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: 'Hilgert J. Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed
    Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press
    2020. <i>Mathematische Semesterberichte</i>. 2020;67:307–309. doi:<a href="https://doi.org/10.1007/s00591-020-00283-3">10.1007/s00591-020-00283-3</a>'
  apa: 'Hilgert, J. (2020). Fabio Toscano: The Secret Formula – How a Mathematical
    Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University
    Press 2020. In <i>Mathematische Semesterberichte</i> (Vol. 67, pp. 307–309). <a
    href="https://doi.org/10.1007/s00591-020-00283-3">https://doi.org/10.1007/s00591-020-00283-3</a>'
  bibtex: '@article{Hilgert_2020, title={Fabio Toscano: The Secret Formula – How a
    Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation.
    Princeton University Press 2020}, volume={67}, DOI={<a href="https://doi.org/10.1007/s00591-020-00283-3">10.1007/s00591-020-00283-3</a>},
    journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020},
    pages={307–309} }'
  chicago: 'Hilgert, Joachim. “Fabio Toscano: The Secret Formula – How a Mathematical
    Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University
    Press 2020.” <i>Mathematische Semesterberichte</i>, 2020. <a href="https://doi.org/10.1007/s00591-020-00283-3">https://doi.org/10.1007/s00591-020-00283-3</a>.'
  ieee: 'J. Hilgert, “Fabio Toscano: The Secret Formula – How a Mathematical Duel
    Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University
    Press 2020,” <i>Mathematische Semesterberichte</i>, vol. 67. pp. 307–309, 2020,
    doi: <a href="https://doi.org/10.1007/s00591-020-00283-3">10.1007/s00591-020-00283-3</a>.'
  mla: 'Hilgert, Joachim. “Fabio Toscano: The Secret Formula – How a Mathematical
    Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University
    Press 2020.” <i>Mathematische Semesterberichte</i>, vol. 67, 2020, pp. 307–309,
    doi:<a href="https://doi.org/10.1007/s00591-020-00283-3">10.1007/s00591-020-00283-3</a>.'
  short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 307–309.
date_created: 2024-02-20T09:53:55Z
date_updated: 2024-02-20T10:03:46Z
department:
- _id: '91'
doi: 10.1007/s00591-020-00283-3
intvolume: '        67'
language:
- iso: eng
page: 307–309
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance
  Italy and Uncovered the Cubic Equation. Princeton University Press 2020'
type: review
user_id: '49063'
volume: 67
year: '2020'
...
---
_id: '51561'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: 'Hilgert J. Robert Bosch: OPT ART – From Mathematical Optimization to Visual
    Design. Princeton University Press 2019. <i>Mathematische Semesterberichte</i>.
    2020;67:123–124. doi:<a href="https://doi.org/10.1007/s00591-020-00272-6">10.1007/s00591-020-00272-6</a>'
  apa: 'Hilgert, J. (2020). Robert Bosch: OPT ART – From Mathematical Optimization
    to Visual Design. Princeton University Press 2019. In <i>Mathematische Semesterberichte</i>
    (Vol. 67, pp. 123–124). <a href="https://doi.org/10.1007/s00591-020-00272-6">https://doi.org/10.1007/s00591-020-00272-6</a>'
  bibtex: '@article{Hilgert_2020, title={Robert Bosch: OPT ART – From Mathematical
    Optimization to Visual Design. Princeton University Press 2019}, volume={67},
    DOI={<a href="https://doi.org/10.1007/s00591-020-00272-6">10.1007/s00591-020-00272-6</a>},
    journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020},
    pages={123–124} }'
  chicago: 'Hilgert, Joachim. “Robert Bosch: OPT ART – From Mathematical Optimization
    to Visual Design. Princeton University Press 2019.” <i>Mathematische Semesterberichte</i>,
    2020. <a href="https://doi.org/10.1007/s00591-020-00272-6">https://doi.org/10.1007/s00591-020-00272-6</a>.'
  ieee: 'J. Hilgert, “Robert Bosch: OPT ART – From Mathematical Optimization to Visual
    Design. Princeton University Press 2019,” <i>Mathematische Semesterberichte</i>,
    vol. 67. pp. 123–124, 2020, doi: <a href="https://doi.org/10.1007/s00591-020-00272-6">10.1007/s00591-020-00272-6</a>.'
  mla: 'Hilgert, Joachim. “Robert Bosch: OPT ART – From Mathematical Optimization
    to Visual Design. Princeton University Press 2019.” <i>Mathematische Semesterberichte</i>,
    vol. 67, 2020, pp. 123–124, doi:<a href="https://doi.org/10.1007/s00591-020-00272-6">10.1007/s00591-020-00272-6</a>.'
  short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 123–124.
date_created: 2024-02-20T10:03:14Z
date_updated: 2024-02-20T10:04:02Z
department:
- _id: '91'
doi: 10.1007/s00591-020-00272-6
intvolume: '        67'
language:
- iso: eng
page: 123–124
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton
  University Press 2019'
type: review
user_id: '49063'
volume: 67
year: '2020'
...
---
_id: '51560'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: 'Hilgert J. David M. Bressoud: Calculus Reordered -- A History of the Big Ideas.
    Princeton University Press 2019. <i>Mathematische Semesterberichte</i>. 2020;67:297–299.
    doi:<a href="https://doi.org/10.1007/s00591-020-00280-6">10.1007/s00591-020-00280-6</a>'
  apa: 'Hilgert, J. (2020). David M. Bressoud: Calculus Reordered -- A History of
    the Big Ideas. Princeton University Press 2019. In <i>Mathematische Semesterberichte</i>
    (Vol. 67, pp. 297–299). <a href="https://doi.org/10.1007/s00591-020-00280-6">https://doi.org/10.1007/s00591-020-00280-6</a>'
  bibtex: '@article{Hilgert_2020, title={David M. Bressoud: Calculus Reordered --
    A History of the Big Ideas. Princeton University Press 2019}, volume={67}, DOI={<a
    href="https://doi.org/10.1007/s00591-020-00280-6">10.1007/s00591-020-00280-6</a>},
    journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020},
    pages={297–299} }'
  chicago: 'Hilgert, Joachim. “David M. Bressoud: Calculus Reordered -- A History
    of the Big Ideas. Princeton University Press 2019.” <i>Mathematische Semesterberichte</i>,
    2020. <a href="https://doi.org/10.1007/s00591-020-00280-6">https://doi.org/10.1007/s00591-020-00280-6</a>.'
  ieee: 'J. Hilgert, “David M. Bressoud: Calculus Reordered -- A History of the Big
    Ideas. Princeton University Press 2019,” <i>Mathematische Semesterberichte</i>,
    vol. 67. pp. 297–299, 2020, doi: <a href="https://doi.org/10.1007/s00591-020-00280-6">10.1007/s00591-020-00280-6</a>.'
  mla: 'Hilgert, Joachim. “David M. Bressoud: Calculus Reordered -- A History of the
    Big Ideas. Princeton University Press 2019.” <i>Mathematische Semesterberichte</i>,
    vol. 67, 2020, pp. 297–299, doi:<a href="https://doi.org/10.1007/s00591-020-00280-6">10.1007/s00591-020-00280-6</a>.'
  short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 297–299.
date_created: 2024-02-20T10:02:16Z
date_updated: 2024-02-20T10:03:56Z
department:
- _id: '91'
doi: 10.1007/s00591-020-00280-6
intvolume: '        67'
language:
- iso: eng
page: 297–299
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton
  University Press 2019'
type: review
user_id: '49063'
volume: 67
year: '2020'
...
---
_id: '51564'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: 'Hilgert J. Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine
    Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017). <i>Mathematische
    Semesterberichte</i>. 2020;67:97–98. doi:<a href="https://doi.org/10.1007/s00591-019-00254-3">10.1007/s00591-019-00254-3</a>'
  apa: 'Hilgert, J. (2020). Daniel Grieser: Mathematisches Problemlösen und Beweisen
    – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017). In <i>Mathematische
    Semesterberichte</i> (Vol. 67, pp. 97–98). <a href="https://doi.org/10.1007/s00591-019-00254-3">https://doi.org/10.1007/s00591-019-00254-3</a>'
  bibtex: '@article{Hilgert_2020, title={Daniel Grieser: Mathematisches Problemlösen
    und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017)},
    volume={67}, DOI={<a href="https://doi.org/10.1007/s00591-019-00254-3">10.1007/s00591-019-00254-3</a>},
    journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020},
    pages={97–98} }'
  chicago: 'Hilgert, Joachim. “Daniel Grieser: Mathematisches Problemlösen und Beweisen
    – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017).” <i>Mathematische
    Semesterberichte</i>, 2020. <a href="https://doi.org/10.1007/s00591-019-00254-3">https://doi.org/10.1007/s00591-019-00254-3</a>.'
  ieee: 'J. Hilgert, “Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine
    Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017),” <i>Mathematische
    Semesterberichte</i>, vol. 67. pp. 97–98, 2020, doi: <a href="https://doi.org/10.1007/s00591-019-00254-3">10.1007/s00591-019-00254-3</a>.'
  mla: 'Hilgert, Joachim. “Daniel Grieser: Mathematisches Problemlösen und Beweisen
    – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017).” <i>Mathematische
    Semesterberichte</i>, vol. 67, 2020, pp. 97–98, doi:<a href="https://doi.org/10.1007/s00591-019-00254-3">10.1007/s00591-019-00254-3</a>.'
  short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 97–98.
date_created: 2024-02-20T10:06:36Z
date_updated: 2024-02-20T10:10:24Z
department:
- _id: '91'
doi: 10.1007/s00591-019-00254-3
intvolume: '        67'
language:
- iso: ger
page: 97–98
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise
  in die Mathematik. 2. Auflage (Springer 2017)'
type: review
user_id: '49063'
volume: 67
year: '2020'
...
---
_id: '51563'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  last_name: Hilgert
citation:
  ama: 'Hilgert J. Claas Lattmann: Mathematische Modellierung bai Platon zwischen
    Thales und Euklid (De Gruyter 2019). <i>Mathematische Semesterberichte</i>. 2020;67:109–111.
    doi:<a href="https://doi.org/10.1007/s00591-019-00254-3">10.1007/s00591-019-00254-3</a>'
  apa: 'Hilgert, J. (2020). Claas Lattmann: Mathematische Modellierung bai Platon
    zwischen Thales und Euklid (De Gruyter 2019). In <i>Mathematische Semesterberichte</i>
    (Vol. 67, pp. 109–111). <a href="https://doi.org/10.1007/s00591-019-00254-3">https://doi.org/10.1007/s00591-019-00254-3</a>'
  bibtex: '@article{Hilgert_2020, title={Claas Lattmann: Mathematische Modellierung
    bai Platon zwischen Thales und Euklid (De Gruyter 2019)}, volume={67}, DOI={<a
    href="https://doi.org/10.1007/s00591-019-00254-3">10.1007/s00591-019-00254-3</a>},
    journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020},
    pages={109–111} }'
  chicago: 'Hilgert, Joachim. “Claas Lattmann: Mathematische Modellierung bai Platon
    zwischen Thales und Euklid (De Gruyter 2019).” <i>Mathematische Semesterberichte</i>,
    2020. <a href="https://doi.org/10.1007/s00591-019-00254-3">https://doi.org/10.1007/s00591-019-00254-3</a>.'
  ieee: 'J. Hilgert, “Claas Lattmann: Mathematische Modellierung bai Platon zwischen
    Thales und Euklid (De Gruyter 2019),” <i>Mathematische Semesterberichte</i>, vol.
    67. pp. 109–111, 2020, doi: <a href="https://doi.org/10.1007/s00591-019-00254-3">10.1007/s00591-019-00254-3</a>.'
  mla: 'Hilgert, Joachim. “Claas Lattmann: Mathematische Modellierung bai Platon zwischen
    Thales und Euklid (De Gruyter 2019).” <i>Mathematische Semesterberichte</i>, vol.
    67, 2020, pp. 109–111, doi:<a href="https://doi.org/10.1007/s00591-019-00254-3">10.1007/s00591-019-00254-3</a>.'
  short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 109–111.
date_created: 2024-02-20T10:05:17Z
date_updated: 2024-02-20T10:10:28Z
department:
- _id: '91'
doi: 10.1007/s00591-019-00254-3
intvolume: '        67'
language:
- iso: ger
page: 109–111
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und
  Euklid (De Gruyter 2019)'
type: review
user_id: '49063'
volume: 67
year: '2020'
...
---
_id: '45954'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n               <jats:p>$L^2$ norm error
    estimates of semi- and full discretizations of wave equations with dynamic boundary
    conditions, using bulk–surface finite elements and Runge–Kutta methods, are studied.
    The analysis rests on an abstract formulation and error estimates, via energy
    techniques, within this abstract setting. Four prototypical linear wave equations
    with dynamic boundary conditions are analysed, which fit into the abstract framework.
    For problems with velocity terms or with acoustic boundary conditions we prove
    surprising results: for such problems the spatial convergence order is shown to
    be less than 2. These can also be observed in the presented numerical experiments.</jats:p>"
author:
- first_name: David
  full_name: Hipp, David
  last_name: Hipp
- first_name: Balázs
  full_name: Kovács, Balázs
  last_name: Kovács
citation:
  ama: 'Hipp D, Kovács B. Finite element error analysis of wave equations with dynamic
    boundary conditions: <i>L</i>2 estimates. <i>IMA Journal of Numerical Analysis</i>.
    2020;41(1):638-728. doi:<a href="https://doi.org/10.1093/imanum/drz073">10.1093/imanum/drz073</a>'
  apa: 'Hipp, D., &#38; Kovács, B. (2020). Finite element error analysis of wave equations
    with dynamic boundary conditions: <i>L</i>2 estimates. <i>IMA Journal of Numerical
    Analysis</i>, <i>41</i>(1), 638–728. <a href="https://doi.org/10.1093/imanum/drz073">https://doi.org/10.1093/imanum/drz073</a>'
  bibtex: '@article{Hipp_Kovács_2020, title={Finite element error analysis of wave
    equations with dynamic boundary conditions: <i>L</i>2 estimates}, volume={41},
    DOI={<a href="https://doi.org/10.1093/imanum/drz073">10.1093/imanum/drz073</a>},
    number={1}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University
    Press (OUP)}, author={Hipp, David and Kovács, Balázs}, year={2020}, pages={638–728}
    }'
  chicago: 'Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave
    Equations with Dynamic Boundary Conditions: <i>L</i>2 Estimates.” <i>IMA Journal
    of Numerical Analysis</i> 41, no. 1 (2020): 638–728. <a href="https://doi.org/10.1093/imanum/drz073">https://doi.org/10.1093/imanum/drz073</a>.'
  ieee: 'D. Hipp and B. Kovács, “Finite element error analysis of wave equations with
    dynamic boundary conditions: <i>L</i>2 estimates,” <i>IMA Journal of Numerical
    Analysis</i>, vol. 41, no. 1, pp. 638–728, 2020, doi: <a href="https://doi.org/10.1093/imanum/drz073">10.1093/imanum/drz073</a>.'
  mla: 'Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave Equations
    with Dynamic Boundary Conditions: <i>L</i>2 Estimates.” <i>IMA Journal of Numerical
    Analysis</i>, vol. 41, no. 1, Oxford University Press (OUP), 2020, pp. 638–728,
    doi:<a href="https://doi.org/10.1093/imanum/drz073">10.1093/imanum/drz073</a>.'
  short: D. Hipp, B. Kovács, IMA Journal of Numerical Analysis 41 (2020) 638–728.
date_created: 2023-07-10T11:42:43Z
date_updated: 2024-04-03T09:14:14Z
department:
- _id: '841'
doi: 10.1093/imanum/drz073
intvolume: '        41'
issue: '1'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
page: 638-728
publication: IMA Journal of Numerical Analysis
publication_identifier:
  issn:
  - 0272-4979
  - 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: 'Finite element error analysis of wave equations with dynamic boundary conditions:
  <i>L</i>2 estimates'
type: journal_article
user_id: '100441'
volume: 41
year: '2020'
...
---
_id: '45953'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n               <jats:p>$L^2$ norm error
    estimates of semi- and full discretizations of wave equations with dynamic boundary
    conditions, using bulk–surface finite elements and Runge–Kutta methods, are studied.
    The analysis rests on an abstract formulation and error estimates, via energy
    techniques, within this abstract setting. Four prototypical linear wave equations
    with dynamic boundary conditions are analysed, which fit into the abstract framework.
    For problems with velocity terms or with acoustic boundary conditions we prove
    surprising results: for such problems the spatial convergence order is shown to
    be less than 2. These can also be observed in the presented numerical experiments.</jats:p>"
author:
- first_name: David
  full_name: Hipp, David
  last_name: Hipp
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
citation:
  ama: 'Hipp D, Kovács B. Finite element error analysis of wave equations with dynamic
    boundary conditions: <i>L</i>2 estimates. <i>IMA Journal of Numerical Analysis</i>.
    2020;41(1):638-728. doi:<a href="https://doi.org/10.1093/imanum/drz073">10.1093/imanum/drz073</a>'
  apa: 'Hipp, D., &#38; Kovács, B. (2020). Finite element error analysis of wave equations
    with dynamic boundary conditions: <i>L</i>2 estimates. <i>IMA Journal of Numerical
    Analysis</i>, <i>41</i>(1), 638–728. <a href="https://doi.org/10.1093/imanum/drz073">https://doi.org/10.1093/imanum/drz073</a>'
  bibtex: '@article{Hipp_Kovács_2020, title={Finite element error analysis of wave
    equations with dynamic boundary conditions: <i>L</i>2 estimates}, volume={41},
    DOI={<a href="https://doi.org/10.1093/imanum/drz073">10.1093/imanum/drz073</a>},
    number={1}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University
    Press (OUP)}, author={Hipp, David and Kovács, Balázs}, year={2020}, pages={638–728}
    }'
  chicago: 'Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave
    Equations with Dynamic Boundary Conditions: <i>L</i>2 Estimates.” <i>IMA Journal
    of Numerical Analysis</i> 41, no. 1 (2020): 638–728. <a href="https://doi.org/10.1093/imanum/drz073">https://doi.org/10.1093/imanum/drz073</a>.'
  ieee: 'D. Hipp and B. Kovács, “Finite element error analysis of wave equations with
    dynamic boundary conditions: <i>L</i>2 estimates,” <i>IMA Journal of Numerical
    Analysis</i>, vol. 41, no. 1, pp. 638–728, 2020, doi: <a href="https://doi.org/10.1093/imanum/drz073">10.1093/imanum/drz073</a>.'
  mla: 'Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave Equations
    with Dynamic Boundary Conditions: <i>L</i>2 Estimates.” <i>IMA Journal of Numerical
    Analysis</i>, vol. 41, no. 1, Oxford University Press (OUP), 2020, pp. 638–728,
    doi:<a href="https://doi.org/10.1093/imanum/drz073">10.1093/imanum/drz073</a>.'
  short: D. Hipp, B. Kovács, IMA Journal of Numerical Analysis 41 (2020) 638–728.
date_created: 2023-07-10T11:42:31Z
date_updated: 2024-04-03T09:20:44Z
department:
- _id: '841'
doi: 10.1093/imanum/drz073
intvolume: '        41'
issue: '1'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
page: 638-728
publication: IMA Journal of Numerical Analysis
publication_identifier:
  issn:
  - 0272-4979
  - 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: 'Finite element error analysis of wave equations with dynamic boundary conditions:
  <i>L</i>2 estimates'
type: journal_article
user_id: '100441'
volume: 41
year: '2020'
...
---
_id: '45955'
author:
- first_name: Georgios
  full_name: Akrivis, Georgios
  last_name: Akrivis
- first_name: Michael
  full_name: Feischl, Michael
  last_name: Feischl
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
- first_name: Christian
  full_name: Lubich, Christian
  last_name: Lubich
citation:
  ama: Akrivis G, Feischl M, Kovács B, Lubich C. Higher-order linearly implicit full
    discretization of the Landau–Lifshitz–Gilbert equation. <i>Mathematics of Computation</i>.
    2020;90(329):995-1038. doi:<a href="https://doi.org/10.1090/mcom/3597">10.1090/mcom/3597</a>
  apa: Akrivis, G., Feischl, M., Kovács, B., &#38; Lubich, C. (2020). Higher-order
    linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation.
    <i>Mathematics of Computation</i>, <i>90</i>(329), 995–1038. <a href="https://doi.org/10.1090/mcom/3597">https://doi.org/10.1090/mcom/3597</a>
  bibtex: '@article{Akrivis_Feischl_Kovács_Lubich_2020, title={Higher-order linearly
    implicit full discretization of the Landau–Lifshitz–Gilbert equation}, volume={90},
    DOI={<a href="https://doi.org/10.1090/mcom/3597">10.1090/mcom/3597</a>}, number={329},
    journal={Mathematics of Computation}, publisher={American Mathematical Society
    (AMS)}, author={Akrivis, Georgios and Feischl, Michael and Kovács, Balázs and
    Lubich, Christian}, year={2020}, pages={995–1038} }'
  chicago: 'Akrivis, Georgios, Michael Feischl, Balázs Kovács, and Christian Lubich.
    “Higher-Order Linearly Implicit Full Discretization of the Landau–Lifshitz–Gilbert
    Equation.” <i>Mathematics of Computation</i> 90, no. 329 (2020): 995–1038. <a
    href="https://doi.org/10.1090/mcom/3597">https://doi.org/10.1090/mcom/3597</a>.'
  ieee: 'G. Akrivis, M. Feischl, B. Kovács, and C. Lubich, “Higher-order linearly
    implicit full discretization of the Landau–Lifshitz–Gilbert equation,” <i>Mathematics
    of Computation</i>, vol. 90, no. 329, pp. 995–1038, 2020, doi: <a href="https://doi.org/10.1090/mcom/3597">10.1090/mcom/3597</a>.'
  mla: Akrivis, Georgios, et al. “Higher-Order Linearly Implicit Full Discretization
    of the Landau–Lifshitz–Gilbert Equation.” <i>Mathematics of Computation</i>, vol.
    90, no. 329, American Mathematical Society (AMS), 2020, pp. 995–1038, doi:<a href="https://doi.org/10.1090/mcom/3597">10.1090/mcom/3597</a>.
  short: G. Akrivis, M. Feischl, B. Kovács, C. Lubich, Mathematics of Computation
    90 (2020) 995–1038.
date_created: 2023-07-10T11:42:57Z
date_updated: 2024-04-03T09:20:36Z
department:
- _id: '841'
doi: 10.1090/mcom/3597
intvolume: '        90'
issue: '329'
keyword:
- Applied Mathematics
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 995-1038
publication: Mathematics of Computation
publication_identifier:
  issn:
  - 0025-5718
  - 1088-6842
publication_status: published
publisher: American Mathematical Society (AMS)
status: public
title: Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert
  equation
type: journal_article
user_id: '100441'
volume: 90
year: '2020'
...
---
_id: '45952'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
- first_name: Buyang
  full_name: Li, Buyang
  last_name: Li
- first_name: Christian
  full_name: Lubich, Christian
  last_name: Lubich
citation:
  ama: Kovács B, Li B, Lubich C. A convergent algorithm for forced mean curvature
    flow driven by diffusion on the surface. <i>Interfaces and Free Boundaries</i>.
    2020;22(4):443-464. doi:<a href="https://doi.org/10.4171/ifb/446">10.4171/ifb/446</a>
  apa: Kovács, B., Li, B., &#38; Lubich, C. (2020). A convergent algorithm for forced
    mean curvature flow driven by diffusion on the surface. <i>Interfaces and Free
    Boundaries</i>, <i>22</i>(4), 443–464. <a href="https://doi.org/10.4171/ifb/446">https://doi.org/10.4171/ifb/446</a>
  bibtex: '@article{Kovács_Li_Lubich_2020, title={A convergent algorithm for forced
    mean curvature flow driven by diffusion on the surface}, volume={22}, DOI={<a
    href="https://doi.org/10.4171/ifb/446">10.4171/ifb/446</a>}, number={4}, journal={Interfaces
    and Free Boundaries}, publisher={European Mathematical Society - EMS - Publishing
    House GmbH}, author={Kovács, Balázs and Li, Buyang and Lubich, Christian}, year={2020},
    pages={443–464} }'
  chicago: 'Kovács, Balázs, Buyang Li, and Christian Lubich. “A Convergent Algorithm
    for Forced Mean Curvature Flow Driven by Diffusion on the Surface.” <i>Interfaces
    and Free Boundaries</i> 22, no. 4 (2020): 443–64. <a href="https://doi.org/10.4171/ifb/446">https://doi.org/10.4171/ifb/446</a>.'
  ieee: 'B. Kovács, B. Li, and C. Lubich, “A convergent algorithm for forced mean
    curvature flow driven by diffusion on the surface,” <i>Interfaces and Free Boundaries</i>,
    vol. 22, no. 4, pp. 443–464, 2020, doi: <a href="https://doi.org/10.4171/ifb/446">10.4171/ifb/446</a>.'
  mla: Kovács, Balázs, et al. “A Convergent Algorithm for Forced Mean Curvature Flow
    Driven by Diffusion on the Surface.” <i>Interfaces and Free Boundaries</i>, vol.
    22, no. 4, European Mathematical Society - EMS - Publishing House GmbH, 2020,
    pp. 443–64, doi:<a href="https://doi.org/10.4171/ifb/446">10.4171/ifb/446</a>.
  short: B. Kovács, B. Li, C. Lubich, Interfaces and Free Boundaries 22 (2020) 443–464.
date_created: 2023-07-10T11:42:14Z
date_updated: 2024-04-03T09:21:02Z
department:
- _id: '841'
doi: 10.4171/ifb/446
intvolume: '        22'
issue: '4'
keyword:
- Applied Mathematics
language:
- iso: eng
page: 443-464
publication: Interfaces and Free Boundaries
publication_identifier:
  issn:
  - 1463-9963
publication_status: published
publisher: European Mathematical Society - EMS - Publishing House GmbH
status: public
title: A convergent algorithm for forced mean curvature flow driven by diffusion on
  the surface
type: journal_article
user_id: '100441'
volume: 22
year: '2020'
...
---
_id: '34632'
author:
- first_name: Kerstin
  full_name: Hesse, Kerstin
  id: '42608'
  last_name: Hesse
  orcid: 0000-0003-4125-1941
citation:
  ama: 'Hesse K. RBF-based penalized least-squares approximation of noisy scattered
    data on the sphere. In: Hickernell FJ, Kritzer P, eds. <i>Multivariate Algorithms
    and Information-Based Complexity</i>. De Gruyter; 2020:33-42.'
  apa: Hesse, K. (2020). RBF-based penalized least-squares approximation of noisy
    scattered data on the sphere. In F. J. Hickernell &#38; P. Kritzer (Eds.), <i>Multivariate
    Algorithms and Information-Based Complexity</i> (pp. 33–42). De Gruyter.
  bibtex: '@inbook{Hesse_2020, place={Berlin/Boston}, title={RBF-based penalized least-squares
    approximation of noisy scattered data on the sphere}, booktitle={Multivariate
    Algorithms and Information-Based Complexity}, publisher={De Gruyter}, author={Hesse,
    Kerstin}, editor={Hickernell, Fred J. and Kritzer, Peter}, year={2020}, pages={33–42}
    }'
  chicago: 'Hesse, Kerstin. “RBF-Based Penalized Least-Squares Approximation of Noisy
    Scattered Data on the Sphere.” In <i>Multivariate Algorithms and Information-Based
    Complexity</i>, edited by Fred J. Hickernell and Peter Kritzer, 33–42. Berlin/Boston:
    De Gruyter, 2020.'
  ieee: 'K. Hesse, “RBF-based penalized least-squares approximation of noisy scattered
    data on the sphere,” in <i>Multivariate Algorithms and Information-Based Complexity</i>,
    F. J. Hickernell and P. Kritzer, Eds. Berlin/Boston: De Gruyter, 2020, pp. 33–42.'
  mla: Hesse, Kerstin. “RBF-Based Penalized Least-Squares Approximation of Noisy Scattered
    Data on the Sphere.” <i>Multivariate Algorithms and Information-Based Complexity</i>,
    edited by Fred J. Hickernell and Peter Kritzer, De Gruyter, 2020, pp. 33–42.
  short: 'K. Hesse, in: F.J. Hickernell, P. Kritzer (Eds.), Multivariate Algorithms
    and Information-Based Complexity, De Gruyter, Berlin/Boston, 2020, pp. 33–42.'
date_created: 2022-12-20T17:34:38Z
date_updated: 2024-04-03T11:03:30Z
department:
- _id: '10'
editor:
- first_name: Fred J.
  full_name: Hickernell, Fred J.
  last_name: Hickernell
- first_name: Peter
  full_name: Kritzer, Peter
  last_name: Kritzer
language:
- iso: eng
page: '33-42 '
place: Berlin/Boston
publication: Multivariate Algorithms and Information-Based Complexity
publication_identifier:
  isbn:
  - '9783110633115'
publisher: De Gruyter
status: public
title: RBF-based penalized least-squares approximation of noisy scattered data on
  the sphere
type: book_chapter
user_id: '49063'
year: '2020'
...
---
_id: '53415'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title><jats:p>Given a closed orientable hyperbolic
    manifold of dimension <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\ne
    3$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mrow>\r\n                    <mml:mo>≠</mml:mo>\r\n                    <mml:mn>3</mml:mn>\r\n
    \                 </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    we prove that the multiplicity of the Pollicott-Ruelle resonance of the geodesic
    flow on perpendicular one-forms at zero agrees with the first Betti number of
    the manifold. Additionally, we prove that this equality is stable under small
    perturbations of the Riemannian metric and simultaneous small perturbations of
    the geodesic vector field within the class of contact vector fields. For more
    general perturbations we get bounds on the multiplicity of the resonance zero
    on all one-forms in terms of the first and zeroth Betti numbers. Furthermore,
    we identify for hyperbolic manifolds further resonance spaces whose multiplicities
    are given by higher Betti numbers.\r\n</jats:p>"
author:
- first_name: Benjamin
  full_name: Küster, Benjamin
  last_name: Küster
- first_name: Tobias
  full_name: Weich, Tobias
  id: '49178'
  last_name: Weich
  orcid: 0000-0002-9648-6919
citation:
  ama: Küster B, Weich T. Pollicott-Ruelle Resonant States and Betti Numbers. <i>Communications
    in Mathematical Physics</i>. 2020;378(2):917-941. doi:<a href="https://doi.org/10.1007/s00220-020-03793-2">10.1007/s00220-020-03793-2</a>
  apa: Küster, B., &#38; Weich, T. (2020). Pollicott-Ruelle Resonant States and Betti
    Numbers. <i>Communications in Mathematical Physics</i>, <i>378</i>(2), 917–941.
    <a href="https://doi.org/10.1007/s00220-020-03793-2">https://doi.org/10.1007/s00220-020-03793-2</a>
  bibtex: '@article{Küster_Weich_2020, title={Pollicott-Ruelle Resonant States and
    Betti Numbers}, volume={378}, DOI={<a href="https://doi.org/10.1007/s00220-020-03793-2">10.1007/s00220-020-03793-2</a>},
    number={2}, journal={Communications in Mathematical Physics}, publisher={Springer
    Science and Business Media LLC}, author={Küster, Benjamin and Weich, Tobias},
    year={2020}, pages={917–941} }'
  chicago: 'Küster, Benjamin, and Tobias Weich. “Pollicott-Ruelle Resonant States
    and Betti Numbers.” <i>Communications in Mathematical Physics</i> 378, no. 2 (2020):
    917–41. <a href="https://doi.org/10.1007/s00220-020-03793-2">https://doi.org/10.1007/s00220-020-03793-2</a>.'
  ieee: 'B. Küster and T. Weich, “Pollicott-Ruelle Resonant States and Betti Numbers,”
    <i>Communications in Mathematical Physics</i>, vol. 378, no. 2, pp. 917–941, 2020,
    doi: <a href="https://doi.org/10.1007/s00220-020-03793-2">10.1007/s00220-020-03793-2</a>.'
  mla: Küster, Benjamin, and Tobias Weich. “Pollicott-Ruelle Resonant States and Betti
    Numbers.” <i>Communications in Mathematical Physics</i>, vol. 378, no. 2, Springer
    Science and Business Media LLC, 2020, pp. 917–41, doi:<a href="https://doi.org/10.1007/s00220-020-03793-2">10.1007/s00220-020-03793-2</a>.
  short: B. Küster, T. Weich, Communications in Mathematical Physics 378 (2020) 917–941.
date_created: 2024-04-11T12:33:03Z
date_updated: 2024-04-11T12:36:53Z
department:
- _id: '548'
doi: 10.1007/s00220-020-03793-2
intvolume: '       378'
issue: '2'
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 917-941
publication: Communications in Mathematical Physics
publication_identifier:
  issn:
  - 0010-3616
  - 1432-0916
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Pollicott-Ruelle Resonant States and Betti Numbers
type: journal_article
user_id: '70575'
volume: 378
year: '2020'
...
---
_id: '44685'
alternative_title:
- Vergleich zweier methodischer Zugänge
author:
- first_name: Jan
  full_name: Schumacher, Jan
  last_name: Schumacher
- first_name: Sebastian
  full_name: Rezat, Sebastian
  id: '31132'
  last_name: Rezat
citation:
  ama: 'Schumacher J, Rezat S. Rekonstruktion diagrammatischen Schließens beim Erlernen
    der Subtraktion negativer Zahlen. In: Kadunz G, ed. <i>Zeichen Und Sprache Im
    Mathematikunterricht: Semiotik in Theorie Und Praxis</i>. Springer; 2020:85–112.
    doi:<a href="https://doi.org/10.1007/978-3-662-61194-4_5">10.1007/978-3-662-61194-4_5</a>'
  apa: 'Schumacher, J., &#38; Rezat, S. (2020). Rekonstruktion diagrammatischen Schließens
    beim Erlernen der Subtraktion negativer Zahlen. In G. Kadunz (Ed.), <i>Zeichen
    und Sprache im Mathematikunterricht: Semiotik in Theorie und Praxis</i> (pp. 85–112).
    Springer. <a href="https://doi.org/10.1007/978-3-662-61194-4_5">https://doi.org/10.1007/978-3-662-61194-4_5</a>'
  bibtex: '@inbook{Schumacher_Rezat_2020, place={Berlin, Heidelberg}, title={Rekonstruktion
    diagrammatischen Schließens beim Erlernen der Subtraktion negativer Zahlen}, DOI={<a
    href="https://doi.org/10.1007/978-3-662-61194-4_5">10.1007/978-3-662-61194-4_5</a>},
    booktitle={Zeichen und Sprache im Mathematikunterricht: Semiotik in Theorie und
    Praxis}, publisher={Springer}, author={Schumacher, Jan and Rezat, Sebastian},
    editor={Kadunz, Gert}, year={2020}, pages={85–112} }'
  chicago: 'Schumacher, Jan, and Sebastian Rezat. “Rekonstruktion Diagrammatischen
    Schließens Beim Erlernen Der Subtraktion Negativer Zahlen.” In <i>Zeichen Und
    Sprache Im Mathematikunterricht: Semiotik in Theorie Und Praxis</i>, edited by
    Gert Kadunz, 85–112. Berlin, Heidelberg: Springer, 2020. <a href="https://doi.org/10.1007/978-3-662-61194-4_5">https://doi.org/10.1007/978-3-662-61194-4_5</a>.'
  ieee: 'J. Schumacher and S. Rezat, “Rekonstruktion diagrammatischen Schließens beim
    Erlernen der Subtraktion negativer Zahlen,” in <i>Zeichen und Sprache im Mathematikunterricht:
    Semiotik in Theorie und Praxis</i>, G. Kadunz, Ed. Berlin, Heidelberg: Springer,
    2020, pp. 85–112.'
  mla: 'Schumacher, Jan, and Sebastian Rezat. “Rekonstruktion Diagrammatischen Schließens
    Beim Erlernen Der Subtraktion Negativer Zahlen.” <i>Zeichen Und Sprache Im Mathematikunterricht:
    Semiotik in Theorie Und Praxis</i>, edited by Gert Kadunz, Springer, 2020, pp.
    85–112, doi:<a href="https://doi.org/10.1007/978-3-662-61194-4_5">10.1007/978-3-662-61194-4_5</a>.'
  short: 'J. Schumacher, S. Rezat, in: G. Kadunz (Ed.), Zeichen Und Sprache Im Mathematikunterricht:
    Semiotik in Theorie Und Praxis, Springer, Berlin, Heidelberg, 2020, pp. 85–112.'
date_created: 2023-05-09T13:47:49Z
date_updated: 2024-04-18T08:18:10Z
department:
- _id: '360'
doi: 10.1007/978-3-662-61194-4_5
editor:
- first_name: Gert
  full_name: Kadunz, Gert
  last_name: Kadunz
language:
- iso: eng
page: 85–112
place: Berlin, Heidelberg
publication: 'Zeichen und Sprache im Mathematikunterricht: Semiotik in Theorie und
  Praxis'
publication_identifier:
  isbn:
  - '9783662611937'
  - '9783662611944'
publication_status: published
publisher: Springer
status: public
title: Rekonstruktion diagrammatischen Schließens beim Erlernen der Subtraktion negativer
  Zahlen
type: book_chapter
user_id: '31132'
year: '2020'
...
---
_id: '44688'
author:
- first_name: Sebastian
  full_name: Rezat, Sebastian
  id: '31132'
  last_name: Rezat
citation:
  ama: 'Rezat S. Mathematiklernen mit digitalen Schulbüchern im Spannungsfeld zwischen
    Individualisierung und Kooperation. In: Meister D, Ilka M, eds. <i>Mobile Medien
    Im Schulkontext</i>. Springer; 2020. doi:<a href="https://doi.org/10.1007/978-3-658-29039-9_10">10.1007/978-3-658-29039-9_10</a>'
  apa: Rezat, S. (2020). Mathematiklernen mit digitalen Schulbüchern im Spannungsfeld
    zwischen Individualisierung und Kooperation. In D. Meister &#38; M. Ilka (Eds.),
    <i>Mobile Medien im Schulkontext</i>. Springer. <a href="https://doi.org/10.1007/978-3-658-29039-9_10">https://doi.org/10.1007/978-3-658-29039-9_10</a>
  bibtex: '@inbook{Rezat_2020, place={Wiesbaden}, title={Mathematiklernen mit digitalen
    Schulbüchern im Spannungsfeld zwischen Individualisierung und Kooperation}, DOI={<a
    href="https://doi.org/10.1007/978-3-658-29039-9_10">10.1007/978-3-658-29039-9_10</a>},
    booktitle={Mobile Medien im Schulkontext}, publisher={Springer}, author={Rezat,
    Sebastian}, editor={Meister, Dorothee and Ilka, Mindt}, year={2020} }'
  chicago: 'Rezat, Sebastian. “Mathematiklernen Mit Digitalen Schulbüchern Im Spannungsfeld
    Zwischen Individualisierung Und Kooperation.” In <i>Mobile Medien Im Schulkontext</i>,
    edited by Dorothee Meister and Mindt Ilka. Wiesbaden: Springer, 2020. <a href="https://doi.org/10.1007/978-3-658-29039-9_10">https://doi.org/10.1007/978-3-658-29039-9_10</a>.'
  ieee: 'S. Rezat, “Mathematiklernen mit digitalen Schulbüchern im Spannungsfeld zwischen
    Individualisierung und Kooperation,” in <i>Mobile Medien im Schulkontext</i>,
    D. Meister and M. Ilka, Eds. Wiesbaden: Springer, 2020.'
  mla: Rezat, Sebastian. “Mathematiklernen Mit Digitalen Schulbüchern Im Spannungsfeld
    Zwischen Individualisierung Und Kooperation.” <i>Mobile Medien Im Schulkontext</i>,
    edited by Dorothee Meister and Mindt Ilka, Springer, 2020, doi:<a href="https://doi.org/10.1007/978-3-658-29039-9_10">10.1007/978-3-658-29039-9_10</a>.
  short: 'S. Rezat, in: D. Meister, M. Ilka (Eds.), Mobile Medien Im Schulkontext,
    Springer, Wiesbaden, 2020.'
date_created: 2023-05-09T14:01:30Z
date_updated: 2024-04-18T08:24:04Z
department:
- _id: '360'
doi: 10.1007/978-3-658-29039-9_10
editor:
- first_name: Dorothee
  full_name: Meister, Dorothee
  last_name: Meister
- first_name: Mindt
  full_name: Ilka, Mindt
  last_name: Ilka
language:
- iso: eng
place: Wiesbaden
publication: Mobile Medien im Schulkontext
publication_identifier:
  isbn:
  - '9783658290382'
  - '9783658290399'
  issn:
  - 2512-112X
  - 2512-1146
publication_status: published
publisher: Springer
status: public
title: Mathematiklernen mit digitalen Schulbüchern im Spannungsfeld zwischen Individualisierung
  und Kooperation
type: book_chapter
user_id: '31132'
year: '2020'
...
---
_id: '46159'
author:
- first_name: Timo
  full_name: Leuders, Timo
  last_name: Leuders
- first_name: Lena
  full_name: Wessel, Lena
  id: '85190'
  last_name: Wessel
citation:
  ama: Leuders T, Wessel L. Differenziertes Üben gestalten. Zwischen Umsetzung in
    der Praxis und Fundierung in der Forschung. <i>Pädagogik 2/2020</i>. 2020;(2):26-30.
  apa: Leuders, T., &#38; Wessel, L. (2020). Differenziertes Üben gestalten. Zwischen
    Umsetzung in der Praxis und Fundierung in der Forschung. <i>Pädagogik 2/2020</i>,
    <i>2</i>, 26–30.
  bibtex: '@article{Leuders_Wessel_2020, title={Differenziertes Üben gestalten. Zwischen
    Umsetzung in der Praxis und Fundierung in der Forschung.}, number={2}, journal={Pädagogik
    2/2020}, publisher={Beltz Verlagsgruppe}, author={Leuders, Timo and Wessel, Lena},
    year={2020}, pages={26–30} }'
  chicago: 'Leuders, Timo, and Lena Wessel. “Differenziertes Üben Gestalten. Zwischen
    Umsetzung in Der Praxis Und Fundierung in Der Forschung.” <i>Pädagogik 2/2020</i>,
    no. 2 (2020): 26–30.'
  ieee: T. Leuders and L. Wessel, “Differenziertes Üben gestalten. Zwischen Umsetzung
    in der Praxis und Fundierung in der Forschung.,” <i>Pädagogik 2/2020</i>, no.
    2, pp. 26–30, 2020.
  mla: Leuders, Timo, and Lena Wessel. “Differenziertes Üben Gestalten. Zwischen Umsetzung
    in Der Praxis Und Fundierung in Der Forschung.” <i>Pädagogik 2/2020</i>, no. 2,
    Beltz Verlagsgruppe, 2020, pp. 26–30.
  short: T. Leuders, L. Wessel, Pädagogik 2/2020 (2020) 26–30.
date_created: 2023-07-26T10:26:53Z
date_updated: 2024-04-18T09:02:02Z
department:
- _id: '643'
issue: '2'
language:
- iso: eng
page: 26-30
publication: Pädagogik 2/2020
publication_identifier:
  issn:
  - 0933-422X
publisher: Beltz Verlagsgruppe
status: public
title: Differenziertes Üben gestalten. Zwischen Umsetzung in der Praxis und Fundierung
  in der Forschung.
type: journal_article
user_id: '37888'
year: '2020'
...