---
_id: '31189'
abstract:
- lang: eng
text: "Given a geometrically finite hyperbolic surface of infinite volume it is
a\r\nclassical result of Patterson that the positive Laplace-Beltrami operator
has\r\nno $L^2$-eigenvalues $\\geq 1/4$. In this article we prove a generalization
of\r\nthis result for the joint $L^2$-eigenvalues of the algebra of commuting\r\ndifferential
operators on Riemannian locally symmetric spaces $\\Gamma\\backslash\r\nG/K$ of
higher rank. We derive dynamical assumptions on the $\\Gamma$-action on\r\nthe
geodesic and the Satake compactifications which imply the absence of the\r\ncorresponding
principal eigenvalues. A large class of examples fulfilling these\r\nassumptions
are the non-compact quotients by Anosov subgroups."
author:
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
- first_name: Lasse Lennart
full_name: Wolf, Lasse Lennart
id: '45027'
last_name: Wolf
citation:
ama: Weich T, Wolf LL. Absence of principal eigenvalues for higher rank locally
symmetric spaces. Communications in Mathematical Physics. 2023;403. doi:https://doi.org/10.1007/s00220-023-04819-1
apa: Weich, T., & Wolf, L. L. (2023). Absence of principal eigenvalues for higher
rank locally symmetric spaces. Communications in Mathematical Physics,
403. https://doi.org/10.1007/s00220-023-04819-1
bibtex: '@article{Weich_Wolf_2023, title={Absence of principal eigenvalues for higher
rank locally symmetric spaces}, volume={403}, DOI={https://doi.org/10.1007/s00220-023-04819-1},
journal={Communications in Mathematical Physics}, author={Weich, Tobias and Wolf,
Lasse Lennart}, year={2023} }'
chicago: Weich, Tobias, and Lasse Lennart Wolf. “Absence of Principal Eigenvalues
for Higher Rank Locally Symmetric Spaces.” Communications in Mathematical
Physics 403 (2023). https://doi.org/10.1007/s00220-023-04819-1.
ieee: 'T. Weich and L. L. Wolf, “Absence of principal eigenvalues for higher rank
locally symmetric spaces,” Communications in Mathematical Physics, vol.
403, 2023, doi: https://doi.org/10.1007/s00220-023-04819-1.'
mla: Weich, Tobias, and Lasse Lennart Wolf. “Absence of Principal Eigenvalues for
Higher Rank Locally Symmetric Spaces.” Communications in Mathematical Physics,
vol. 403, 2023, doi:https://doi.org/10.1007/s00220-023-04819-1.
short: T. Weich, L.L. Wolf, Communications in Mathematical Physics 403 (2023).
date_created: 2022-05-11T10:38:11Z
date_updated: 2024-02-06T20:52:40Z
department:
- _id: '10'
- _id: '548'
- _id: '623'
doi: https://doi.org/10.1007/s00220-023-04819-1
external_id:
arxiv:
- '2205.03167'
intvolume: ' 403'
language:
- iso: eng
publication: Communications in Mathematical Physics
publication_identifier:
unknown:
- 1275-1295
status: public
title: Absence of principal eigenvalues for higher rank locally symmetric spaces
type: journal_article
user_id: '49178'
volume: 403
year: '2023'
...
---
_id: '51206'
abstract:
- lang: eng
text: "We present a numerical algorithm for the computation of invariant Ruelle\r\ndistributions
on convex co-compact hyperbolic surfaces. This is achieved by\r\nexploiting the
connection between invariant Ruelle distributions and residues\r\nof meromorphically
continued weighted zeta functions established by the authors\r\ntogether with
Barkhofen (2021). To make this applicable for numerics we express\r\nthe weighted
zeta as the logarithmic derivative of a suitable parameter\r\ndependent Fredholm
determinant similar to Borthwick (2014). As an additional\r\ndifficulty our transfer
operator has to include a contracting direction which\r\nwe account for with techniques
developed by Rugh (1992). We achieve a further\r\nimprovement in convergence speed
for our algorithm in the case of surfaces with\r\nadditional symmetries by proving
and applying a symmetry reduction of weighted\r\nzeta functions."
author:
- first_name: Philipp
full_name: Schütte, Philipp
id: '50168'
last_name: Schütte
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
citation:
ama: Schütte P, Weich T. Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic
Surfaces -- A Numerical Algorithm via Weighted Zeta Functions. arXiv:230813463.
Published online 2023.
apa: Schütte, P., & Weich, T. (2023). Invariant Ruelle Distributions on Convex-Cocompact
Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions. In
arXiv:2308.13463.
bibtex: '@article{Schütte_Weich_2023, title={Invariant Ruelle Distributions on Convex-Cocompact
Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions}, journal={arXiv:2308.13463},
author={Schütte, Philipp and Weich, Tobias}, year={2023} }'
chicago: Schütte, Philipp, and Tobias Weich. “Invariant Ruelle Distributions on
Convex-Cocompact Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta
Functions.” ArXiv:2308.13463, 2023.
ieee: P. Schütte and T. Weich, “Invariant Ruelle Distributions on Convex-Cocompact
Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions,” arXiv:2308.13463.
2023.
mla: Schütte, Philipp, and Tobias Weich. “Invariant Ruelle Distributions on Convex-Cocompact
Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions.” ArXiv:2308.13463,
2023.
short: P. Schütte, T. Weich, ArXiv:2308.13463 (2023).
date_created: 2024-02-06T20:58:35Z
date_updated: 2024-02-11T19:56:01Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
external_id:
arxiv:
- '2308.13463'
language:
- iso: eng
publication: arXiv:2308.13463
status: public
title: Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces --
A Numerical Algorithm via Weighted Zeta Functions
type: preprint
user_id: '49178'
year: '2023'
...
---
_id: '51351'
author:
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
orcid: 0000-0002-9808-7401
- first_name: Isaak Hieronymus
full_name: Wolf, Isaak Hieronymus
id: '88145'
last_name: Wolf
citation:
ama: Steffen E, Wolf IH. Bounds for the chromatic index of signed multigraphs. Discrete
Applied Mathematics. 2023;337:185-189. doi:10.1016/j.dam.2023.05.008
apa: Steffen, E., & Wolf, I. H. (2023). Bounds for the chromatic index of signed
multigraphs. Discrete Applied Mathematics, 337, 185–189. https://doi.org/10.1016/j.dam.2023.05.008
bibtex: '@article{Steffen_Wolf_2023, title={Bounds for the chromatic index of signed
multigraphs}, volume={337}, DOI={10.1016/j.dam.2023.05.008},
journal={Discrete Applied Mathematics}, publisher={Elsevier BV}, author={Steffen,
Eckhard and Wolf, Isaak Hieronymus}, year={2023}, pages={185–189} }'
chicago: 'Steffen, Eckhard, and Isaak Hieronymus Wolf. “Bounds for the Chromatic
Index of Signed Multigraphs.” Discrete Applied Mathematics 337 (2023):
185–89. https://doi.org/10.1016/j.dam.2023.05.008.'
ieee: 'E. Steffen and I. H. Wolf, “Bounds for the chromatic index of signed multigraphs,”
Discrete Applied Mathematics, vol. 337, pp. 185–189, 2023, doi: 10.1016/j.dam.2023.05.008.'
mla: Steffen, Eckhard, and Isaak Hieronymus Wolf. “Bounds for the Chromatic Index
of Signed Multigraphs.” Discrete Applied Mathematics, vol. 337, Elsevier
BV, 2023, pp. 185–89, doi:10.1016/j.dam.2023.05.008.
short: E. Steffen, I.H. Wolf, Discrete Applied Mathematics 337 (2023) 185–189.
date_created: 2024-02-14T17:33:29Z
date_updated: 2024-02-14T17:33:59Z
department:
- _id: '542'
doi: 10.1016/j.dam.2023.05.008
intvolume: ' 337'
keyword:
- Applied Mathematics
- Discrete Mathematics and Combinatorics
language:
- iso: eng
page: 185-189
publication: Discrete Applied Mathematics
publication_identifier:
issn:
- 0166-218X
publication_status: published
publisher: Elsevier BV
status: public
title: Bounds for the chromatic index of signed multigraphs
type: journal_article
user_id: '15540'
volume: 337
year: '2023'
...
---
_id: '45190'
author:
- first_name: Chiara
full_name: Cappello, Chiara
id: '72874'
last_name: Cappello
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
orcid: 0000-0002-9808-7401
citation:
ama: 'Cappello C, Steffen E. Graph-Theoretical Models for the Analysis and Design
of Socio-Technical Networks. In: The Digital Twin of Humans. Springer International
Publishing; 2023:93--110. doi:10.1007/978-3-031-26104-6_5'
apa: Cappello, C., & Steffen, E. (2023). Graph-Theoretical Models for the Analysis
and Design of Socio-Technical Networks. In The Digital Twin of Humans (pp.
93--110). Springer International Publishing. https://doi.org/10.1007/978-3-031-26104-6_5
bibtex: '@inbook{Cappello_Steffen_2023, place={Cham}, title={Graph-Theoretical Models
for the Analysis and Design of Socio-Technical Networks}, DOI={10.1007/978-3-031-26104-6_5},
booktitle={The Digital Twin of Humans}, publisher={Springer International Publishing},
author={Cappello, Chiara and Steffen, Eckhard}, year={2023}, pages={93--110} }'
chicago: 'Cappello, Chiara, and Eckhard Steffen. “Graph-Theoretical Models for the
Analysis and Design of Socio-Technical Networks.” In The Digital Twin of Humans,
93--110. Cham: Springer International Publishing, 2023. https://doi.org/10.1007/978-3-031-26104-6_5.'
ieee: 'C. Cappello and E. Steffen, “Graph-Theoretical Models for the Analysis and
Design of Socio-Technical Networks,” in The Digital Twin of Humans, Cham:
Springer International Publishing, 2023, pp. 93--110.'
mla: Cappello, Chiara, and Eckhard Steffen. “Graph-Theoretical Models for the Analysis
and Design of Socio-Technical Networks.” The Digital Twin of Humans, Springer
International Publishing, 2023, pp. 93--110, doi:10.1007/978-3-031-26104-6_5.
short: 'C. Cappello, E. Steffen, in: The Digital Twin of Humans, Springer International
Publishing, Cham, 2023, pp. 93--110.'
date_created: 2023-05-22T10:22:21Z
date_updated: 2024-02-16T07:42:38Z
department:
- _id: '542'
doi: 10.1007/978-3-031-26104-6_5
language:
- iso: eng
page: 93--110
place: Cham
publication: The Digital Twin of Humans
publication_identifier:
isbn:
- '9783031261039'
- '9783031261046'
publication_status: published
publisher: Springer International Publishing
status: public
title: Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks
type: book_chapter
user_id: '15540'
year: '2023'
...
---
_id: '51357'
article_number: '113457'
author:
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
orcid: 0000-0002-9808-7401
- first_name: Isaak Hieronymus
full_name: Wolf, Isaak Hieronymus
id: '88145'
last_name: Wolf
citation:
ama: Steffen E, Wolf IH. Rotation r-graphs. Discrete Mathematics. Published
online 2023. doi:10.1016/j.disc.2023.113457
apa: Steffen, E., & Wolf, I. H. (2023). Rotation r-graphs. Discrete Mathematics,
Article 113457. https://doi.org/10.1016/j.disc.2023.113457
bibtex: '@article{Steffen_Wolf_2023, title={Rotation r-graphs}, DOI={10.1016/j.disc.2023.113457},
number={113457}, journal={Discrete Mathematics}, publisher={Elsevier BV}, author={Steffen,
Eckhard and Wolf, Isaak Hieronymus}, year={2023} }'
chicago: Steffen, Eckhard, and Isaak Hieronymus Wolf. “Rotation R-Graphs.” Discrete
Mathematics, 2023. https://doi.org/10.1016/j.disc.2023.113457.
ieee: 'E. Steffen and I. H. Wolf, “Rotation r-graphs,” Discrete Mathematics,
Art. no. 113457, 2023, doi: 10.1016/j.disc.2023.113457.'
mla: Steffen, Eckhard, and Isaak Hieronymus Wolf. “Rotation R-Graphs.” Discrete
Mathematics, 113457, Elsevier BV, 2023, doi:10.1016/j.disc.2023.113457.
short: E. Steffen, I.H. Wolf, Discrete Mathematics (2023).
date_created: 2024-02-16T08:44:50Z
date_updated: 2024-02-16T08:45:10Z
department:
- _id: '542'
doi: 10.1016/j.disc.2023.113457
keyword:
- Discrete Mathematics and Combinatorics
- Theoretical Computer Science
language:
- iso: eng
publication: Discrete Mathematics
publication_identifier:
issn:
- 0012-365X
publication_status: published
publisher: Elsevier BV
status: public
title: Rotation r-graphs
type: journal_article
user_id: '15540'
year: '2023'
...
---
_id: '31210'
abstract:
- lang: eng
text: "In this paper we complete the program of relating the Laplace spectrum for\r\nrank
one compact locally symmetric spaces with the first band Ruelle-Pollicott\r\nresonances
of the geodesic flow on its sphere bundle. This program was started\r\nby Flaminio
and Forni for hyperbolic surfaces, continued by Dyatlov, Faure and\r\nGuillarmou
for real hyperbolic spaces and by Guillarmou, Hilgert and Weich for\r\ngeneral
rank one spaces. Except for the case of hyperbolic surfaces a countable\r\nset
of exceptional spectral parameters always left untreated since the\r\ncorresponding
Poisson transforms are neither injective nor surjective. We use\r\nvector valued
Poisson transforms to treat also the exceptional spectral\r\nparameters. For surfaces
the exceptional spectral parameters lead to discrete\r\nseries representations
of $\\mathrm{SL}(2,\\mathbb R)$. In higher dimensions the\r\nsituation is more
complicated, but can be described completely."
author:
- first_name: Christian
full_name: Arends, Christian
id: '43994'
last_name: Arends
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: 'Arends C, Hilgert J. Spectral correspondences for rank one locally symmetric
spaces: the case of exceptional parameters. Journal de l’École polytechnique
— Mathématiques. 2023;10:335-403. doi:10.5802/jep.220'
apa: 'Arends, C., & Hilgert, J. (2023). Spectral correspondences for rank one
locally symmetric spaces: the case of exceptional parameters. Journal de l’École
Polytechnique — Mathématiques, 10, 335–403. https://doi.org/10.5802/jep.220'
bibtex: '@article{Arends_Hilgert_2023, title={Spectral correspondences for rank
one locally symmetric spaces: the case of exceptional parameters}, volume={10},
DOI={10.5802/jep.220}, journal={Journal
de l’École polytechnique — Mathématiques}, author={Arends, Christian and Hilgert,
Joachim}, year={2023}, pages={335–403} }'
chicago: 'Arends, Christian, and Joachim Hilgert. “Spectral Correspondences for
Rank One Locally Symmetric Spaces: The Case of Exceptional Parameters.” Journal
de l’École Polytechnique — Mathématiques 10 (2023): 335–403. https://doi.org/10.5802/jep.220.'
ieee: 'C. Arends and J. Hilgert, “Spectral correspondences for rank one locally
symmetric spaces: the case of exceptional parameters,” Journal de l’École polytechnique
— Mathématiques, vol. 10, pp. 335–403, 2023, doi: 10.5802/jep.220.'
mla: 'Arends, Christian, and Joachim Hilgert. “Spectral Correspondences for Rank
One Locally Symmetric Spaces: The Case of Exceptional Parameters.” Journal
de l’École Polytechnique — Mathématiques, vol. 10, 2023, pp. 335–403, doi:10.5802/jep.220.'
short: C. Arends, J. Hilgert, Journal de l’École Polytechnique — Mathématiques 10
(2023) 335–403.
date_created: 2022-05-11T12:27:00Z
date_updated: 2024-02-19T06:30:26Z
department:
- _id: '10'
- _id: '548'
- _id: '91'
doi: 10.5802/jep.220
external_id:
arxiv:
- '2112.11073'
intvolume: ' 10'
keyword:
- Ruelle resonances
- Poisson transforms
- locally symmetric spaces
- principal series representations
language:
- iso: eng
page: 335-403
publication: Journal de l’École polytechnique — Mathématiques
publication_identifier:
eissn:
- 2270-518X
issn:
- 2429-7100
publication_status: published
status: public
title: 'Spectral correspondences for rank one locally symmetric spaces: the case of
exceptional parameters'
type: journal_article
user_id: '49063'
volume: 10
year: '2023'
...
---
_id: '46578'
abstract:
- lang: eng
text: 'Multiobjective optimization plays an increasingly important role in modern
applications, where several criteria are often of equal importance. The task in
multiobjective optimization and multiobjective optimal control is therefore to
compute the set of optimal compromises (the Pareto set) between the conflicting
objectives. The advances in algorithms and the increasing interest in Pareto-optimal
solutions have led to a wide range of new applications related to optimal and
feedback control - potentially with non-smoothness both on the level of the objectives
or in the system dynamics. This results in new challenges such as dealing with
expensive models (e.g., governed by partial differential equations (PDEs)) and
developing dedicated algorithms handling the non-smoothness. Since in contrast
to single-objective optimization, the Pareto set generally consists of an infinite
number of solutions, the computational effort can quickly become challenging,
which is particularly problematic when the objectives are costly to evaluate or
when a solution has to be presented very quickly. This article gives an overview
of recent developments in the field of multiobjective optimization of non-smooth
PDE-constrained problems. In particular we report on the advances achieved within
Project 2 "Multiobjective Optimization of Non-Smooth PDE-Constrained Problems
- Switches, State Constraints and Model Order Reduction" of the DFG Priority Programm
1962 "Non-smooth and Complementarity-based Distributed Parameter Systems: Simulation
and Hierarchical Optimization".'
author:
- first_name: Marco
full_name: Bernreuther, Marco
last_name: Bernreuther
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
- first_name: Bennet
full_name: Gebken, Bennet
id: '32643'
last_name: Gebken
- first_name: Georg
full_name: Müller, Georg
last_name: Müller
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: 0000-0002-3389-793X
- first_name: Konstantin
full_name: Sonntag, Konstantin
id: '56399'
last_name: Sonntag
orcid: https://orcid.org/0000-0003-3384-3496
- first_name: Stefan
full_name: Volkwein, Stefan
last_name: Volkwein
citation:
ama: Bernreuther M, Dellnitz M, Gebken B, et al. Multiobjective Optimization of
Non-Smooth PDE-Constrained Problems. arXiv:230801113. Published online
2023.
apa: Bernreuther, M., Dellnitz, M., Gebken, B., Müller, G., Peitz, S., Sonntag,
K., & Volkwein, S. (2023). Multiobjective Optimization of Non-Smooth PDE-Constrained
Problems. In arXiv:2308.01113.
bibtex: '@article{Bernreuther_Dellnitz_Gebken_Müller_Peitz_Sonntag_Volkwein_2023,
title={Multiobjective Optimization of Non-Smooth PDE-Constrained Problems}, journal={arXiv:2308.01113},
author={Bernreuther, Marco and Dellnitz, Michael and Gebken, Bennet and Müller,
Georg and Peitz, Sebastian and Sonntag, Konstantin and Volkwein, Stefan}, year={2023}
}'
chicago: Bernreuther, Marco, Michael Dellnitz, Bennet Gebken, Georg Müller, Sebastian
Peitz, Konstantin Sonntag, and Stefan Volkwein. “Multiobjective Optimization of
Non-Smooth PDE-Constrained Problems.” ArXiv:2308.01113, 2023.
ieee: M. Bernreuther et al., “Multiobjective Optimization of Non-Smooth PDE-Constrained
Problems,” arXiv:2308.01113. 2023.
mla: Bernreuther, Marco, et al. “Multiobjective Optimization of Non-Smooth PDE-Constrained
Problems.” ArXiv:2308.01113, 2023.
short: M. Bernreuther, M. Dellnitz, B. Gebken, G. Müller, S. Peitz, K. Sonntag,
S. Volkwein, ArXiv:2308.01113 (2023).
date_created: 2023-08-21T05:50:12Z
date_updated: 2024-02-21T12:22:20Z
department:
- _id: '655'
- _id: '101'
external_id:
arxiv:
- '2308.01113'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/2308.01113
oa: '1'
publication: arXiv:2308.01113
status: public
title: Multiobjective Optimization of Non-Smooth PDE-Constrained Problems
type: preprint
user_id: '47427'
year: '2023'
...
---
_id: '34793'
article_type: original
author:
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: Glöckner H, Hilgert J. Aspects of control theory on infinite-dimensional Lie
groups and G-manifolds. Journal of Differential Equations. 2023;343:186–232.
doi:10.1016/j.jde.2022.10.001
apa: Glöckner, H., & Hilgert, J. (2023). Aspects of control theory on infinite-dimensional
Lie groups and G-manifolds. Journal of Differential Equations, 343,
186–232. https://doi.org/10.1016/j.jde.2022.10.001
bibtex: '@article{Glöckner_Hilgert_2023, title={Aspects of control theory on infinite-dimensional
Lie groups and G-manifolds}, volume={343}, DOI={10.1016/j.jde.2022.10.001},
journal={Journal of Differential Equations}, author={Glöckner, Helge and Hilgert,
Joachim}, year={2023}, pages={186–232} }'
chicago: 'Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional
Lie Groups and G-Manifolds.” Journal of Differential Equations 343 (2023):
186–232. https://doi.org/10.1016/j.jde.2022.10.001.'
ieee: 'H. Glöckner and J. Hilgert, “Aspects of control theory on infinite-dimensional
Lie groups and G-manifolds,” Journal of Differential Equations, vol. 343,
pp. 186–232, 2023, doi: 10.1016/j.jde.2022.10.001.'
mla: Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional
Lie Groups and G-Manifolds.” Journal of Differential Equations, vol. 343,
2023, pp. 186–232, doi:10.1016/j.jde.2022.10.001.
short: H. Glöckner, J. Hilgert, Journal of Differential Equations 343 (2023) 186–232.
date_created: 2022-12-21T19:31:13Z
date_updated: 2024-03-22T16:02:32Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
- _id: '91'
doi: 10.1016/j.jde.2022.10.001
external_id:
arxiv:
- '2007.11277'
intvolume: ' 343'
keyword:
- '22E65'
- 28B05
- 34A12
- 34H05
- '46E30'
- '46E40'
language:
- iso: eng
page: 186–232
publication: Journal of Differential Equations
publication_identifier:
issn:
- 0022-0396
quality_controlled: '1'
status: public
title: Aspects of control theory on infinite-dimensional Lie groups and G-manifolds
type: journal_article
user_id: '178'
volume: 343
year: '2023'
...
---
_id: '45191'
alternative_title:
- An Interdisciplinary Concept of Digital Working Environments in Industry 4.0
citation:
ama: Gräßler I, Maier GW, Steffen E, Roesmann D, eds. The Digital Twin of Humans.
Springer International Publishing; 2023. doi:10.1007/978-3-031-26104-6
apa: Gräßler, I., Maier, G. W., Steffen, E., & Roesmann, D. (Eds.). (2023).
The Digital Twin of Humans. Springer International Publishing. https://doi.org/10.1007/978-3-031-26104-6
bibtex: '@book{Gräßler_Maier_Steffen_Roesmann_2023, place={Cham}, title={The Digital
Twin of Humans}, DOI={10.1007/978-3-031-26104-6},
publisher={Springer International Publishing}, year={2023} }'
chicago: 'Gräßler, Iris, Günter W. Maier, Eckhard Steffen, and Daniel Roesmann,
eds. The Digital Twin of Humans. Cham: Springer International Publishing,
2023. https://doi.org/10.1007/978-3-031-26104-6.'
ieee: 'I. Gräßler, G. W. Maier, E. Steffen, and D. Roesmann, Eds., The Digital
Twin of Humans. Cham: Springer International Publishing, 2023.'
mla: Gräßler, Iris, et al., editors. The Digital Twin of Humans. Springer
International Publishing, 2023, doi:10.1007/978-3-031-26104-6.
short: I. Gräßler, G.W. Maier, E. Steffen, D. Roesmann, eds., The Digital Twin of
Humans, Springer International Publishing, Cham, 2023.
date_created: 2023-05-22T10:24:10Z
date_updated: 2024-03-25T09:07:55Z
department:
- _id: '542'
- _id: '152'
doi: 10.1007/978-3-031-26104-6
editor:
- first_name: Iris
full_name: Gräßler, Iris
id: '47565'
last_name: Gräßler
orcid: 0000-0001-5765-971X
- first_name: Günter W.
full_name: Maier, Günter W.
last_name: Maier
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
orcid: 0000-0002-9808-7401
- first_name: Daniel
full_name: Roesmann, Daniel
id: '54680'
last_name: Roesmann
language:
- iso: eng
place: Cham
publication_identifier:
isbn:
- '9783031261039'
- '9783031261046'
publication_status: published
publisher: Springer International Publishing
quality_controlled: '1'
status: public
title: The Digital Twin of Humans
type: book_editor
user_id: '5905'
year: '2023'
...
---
_id: '52806'
author:
- first_name: H.
full_name: Gilbert, H.
last_name: Gilbert
- first_name: M.
full_name: Schürmann, M.
last_name: Schürmann
- first_name: M.
full_name: Liebendörfer, M.
last_name: Liebendörfer
- first_name: D.
full_name: Lawson, D.
last_name: Lawson
- first_name: M.
full_name: Hodds, M.
last_name: Hodds
citation:
ama: 'Gilbert H, Schürmann M, Liebendörfer M, Lawson D, Hodds M. Post-pandemic online
mathematics and statistics support: Practitioners’ opinions in Germany and Great
Britain & Ireland. International Journal of Mathematical Education
in Science and Technology. Published online 2023:1-26. doi:10.1080/0020739x.2023.2184282'
apa: 'Gilbert, H., Schürmann, M., Liebendörfer, M., Lawson, D., & Hodds, M.
(2023). Post-pandemic online mathematics and statistics support: Practitioners’
opinions in Germany and Great Britain & Ireland. International Journal
of Mathematical Education in Science and Technology, 1–26. https://doi.org/10.1080/0020739x.2023.2184282'
bibtex: '@article{Gilbert_Schürmann_Liebendörfer_Lawson_Hodds_2023, title={Post-pandemic
online mathematics and statistics support: Practitioners’ opinions in Germany
and Great Britain & Ireland}, DOI={10.1080/0020739x.2023.2184282},
journal={International Journal of Mathematical Education in Science and Technology},
publisher={Informa UK Limited}, author={Gilbert, H. and Schürmann, M. and Liebendörfer,
M. and Lawson, D. and Hodds, M.}, year={2023}, pages={1–26} }'
chicago: 'Gilbert, H., M. Schürmann, M. Liebendörfer, D. Lawson, and M. Hodds. “Post-Pandemic
Online Mathematics and Statistics Support: Practitioners’ Opinions in Germany
and Great Britain & Ireland.” International Journal of Mathematical
Education in Science and Technology, 2023, 1–26. https://doi.org/10.1080/0020739x.2023.2184282.'
ieee: 'H. Gilbert, M. Schürmann, M. Liebendörfer, D. Lawson, and M. Hodds, “Post-pandemic
online mathematics and statistics support: Practitioners’ opinions in Germany
and Great Britain & Ireland,” International Journal of Mathematical
Education in Science and Technology, pp. 1–26, 2023, doi: 10.1080/0020739x.2023.2184282.'
mla: 'Gilbert, H., et al. “Post-Pandemic Online Mathematics and Statistics Support:
Practitioners’ Opinions in Germany and Great Britain & Ireland.” International
Journal of Mathematical Education in Science and Technology, Informa UK Limited,
2023, pp. 1–26, doi:10.1080/0020739x.2023.2184282.'
short: H. Gilbert, M. Schürmann, M. Liebendörfer, D. Lawson, M. Hodds, International
Journal of Mathematical Education in Science and Technology (2023) 1–26.
date_created: 2024-03-25T10:02:09Z
date_updated: 2024-03-25T10:09:21Z
department:
- _id: '10'
- _id: '625'
- _id: '34'
- _id: '97'
- _id: '98'
doi: 10.1080/0020739x.2023.2184282
keyword:
- Applied Mathematics
- Education
- Mathematics (miscellaneous)
language:
- iso: eng
page: 1-26
publication: International Journal of Mathematical Education in Science and Technology
publication_identifier:
issn:
- 0020-739X
- 1464-5211
publication_status: published
publisher: Informa UK Limited
status: public
title: 'Post-pandemic online mathematics and statistics support: Practitioners’ opinions
in Germany and Great Britain & Ireland'
type: journal_article
user_id: '30933'
year: '2023'
...
---
_id: '52811'
author:
- first_name: Rolf
full_name: Biehler, Rolf
last_name: Biehler
- first_name: Dominik
full_name: Guntermann, Dominik
last_name: Guntermann
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
- first_name: Sandra
full_name: Krämer, Sandra
last_name: Krämer
- first_name: Sarah
full_name: Schlüter, Sarah
last_name: Schlüter
citation:
ama: 'Biehler R, Guntermann D, Liebendörfer M, Krämer S, Schlüter S. Fachdidaktisches
Design von Begründungsvideos im Projekt studiVEMINTvideos. In: Goethe-Universität
Frankfur I-P, ed. Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung
Der Gesellschaft Für Didaktik Der Mathematik. Vol 1. WTM; 2023:407–410. doi:10.37626/GA9783959872089.0'
apa: Biehler, R., Guntermann, D., Liebendörfer, M., Krämer, S., & Schlüter,
S. (2023). Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos.
In I.-P. Goethe-Universität Frankfur (Ed.), Beiträge zum Mathematikunterricht
2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik (Vol.
1, pp. 407–410). WTM. https://doi.org/10.37626/GA9783959872089.0
bibtex: '@inbook{Biehler_Guntermann_Liebendörfer_Krämer_Schlüter_2023, place={Münster},
title={Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos},
volume={1}, DOI={10.37626/GA9783959872089.0},
booktitle={Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft
für Didaktik der Mathematik}, publisher={WTM}, author={Biehler, Rolf and Guntermann,
Dominik and Liebendörfer, Michael and Krämer, Sandra and Schlüter, Sarah}, editor={Goethe-Universität
Frankfur, IDMI-Primar}, year={2023}, pages={407–410} }'
chicago: 'Biehler, Rolf, Dominik Guntermann, Michael Liebendörfer, Sandra Krämer,
and Sarah Schlüter. “Fachdidaktisches Design von Begründungsvideos Im Projekt
StudiVEMINTvideos.” In Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung
Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität
Frankfur, 1:407–410. Münster: WTM, 2023. https://doi.org/10.37626/GA9783959872089.0.'
ieee: 'R. Biehler, D. Guntermann, M. Liebendörfer, S. Krämer, and S. Schlüter, “Fachdidaktisches
Design von Begründungsvideos im Projekt studiVEMINTvideos,” in Beiträge zum
Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der
Mathematik, vol. 1, I.-P. Goethe-Universität Frankfur, Ed. Münster: WTM, 2023,
pp. 407–410.'
mla: Biehler, Rolf, et al. “Fachdidaktisches Design von Begründungsvideos Im Projekt
StudiVEMINTvideos.” Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung
Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität
Frankfur, vol. 1, WTM, 2023, pp. 407–410, doi:10.37626/GA9783959872089.0.
short: 'R. Biehler, D. Guntermann, M. Liebendörfer, S. Krämer, S. Schlüter, in:
I.-P. Goethe-Universität Frankfur (Ed.), Beiträge Zum Mathematikunterricht 2022.
56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, WTM, Münster, 2023,
pp. 407–410.'
date_created: 2024-03-25T10:06:08Z
date_updated: 2024-03-25T10:09:41Z
department:
- _id: '10'
- _id: '625'
- _id: '34'
- _id: '97'
- _id: '98'
doi: 10.37626/GA9783959872089.0
editor:
- first_name: IDMI-Primar
full_name: Goethe-Universität Frankfur, IDMI-Primar
last_name: Goethe-Universität Frankfur
intvolume: ' 1'
page: 407–410
place: Münster
publication: Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft
für Didaktik der Mathematik
publication_identifier:
isbn:
- 978-3-95987-208-9
publisher: WTM
status: public
title: Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos
type: book_chapter
user_id: '30933'
volume: 1
year: '2023'
...
---
_id: '52810'
author:
- first_name: Robin
full_name: Göller, Robin
last_name: Göller
- first_name: Lara
full_name: Gildehaus, Lara
last_name: Gildehaus
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
- first_name: Michael
full_name: Besser, Michael
last_name: Besser
citation:
ama: 'Göller R, Gildehaus L, Liebendörfer M, Besser M. Erfassung und Vergleich (mathematischer)
Eingangsvoraussetzungen angehender Studierender verschiedener mathematikhaltiger
Studiengänge. In: Härterich J, Kallweit M, Rolka K, Skill T, eds. Hanse-Kolloquium
Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium
Am 12 November 2021 Aus Bochum. WTM; 2023:66–80.'
apa: Göller, R., Gildehaus, L., Liebendörfer, M., & Besser, M. (2023). Erfassung
und Vergleich (mathematischer) Eingangsvoraussetzungen angehender Studierender
verschiedener mathematikhaltiger Studiengänge. In J. Härterich, M. Kallweit, K.
Rolka, & T. Skill (Eds.), Hanse-Kolloquium zur Hochschuldidaktik der Mathematik
2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum
(pp. 66–80). WTM.
bibtex: '@inbook{Göller_Gildehaus_Liebendörfer_Besser_2023, place={Münster}, title={Erfassung
und Vergleich (mathematischer) Eingangsvoraussetzungen angehender Studierender
verschiedener mathematikhaltiger Studiengänge}, booktitle={Hanse-Kolloquium zur
Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium
am 12 November 2021 aus Bochum}, publisher={WTM}, author={Göller, Robin and Gildehaus,
Lara and Liebendörfer, Michael and Besser, Michael}, editor={Härterich, Jörg and
Kallweit, Michael and Rolka, Katrin and Skill, Thomas}, year={2023}, pages={66–80}
}'
chicago: 'Göller, Robin, Lara Gildehaus, Michael Liebendörfer, and Michael Besser.
“Erfassung Und Vergleich (Mathematischer) Eingangsvoraussetzungen Angehender Studierender
Verschiedener Mathematikhaltiger Studiengänge.” In Hanse-Kolloquium Zur Hochschuldidaktik
Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November
2021 Aus Bochum, edited by Jörg Härterich, Michael Kallweit, Katrin Rolka,
and Thomas Skill, 66–80. Münster: WTM, 2023.'
ieee: 'R. Göller, L. Gildehaus, M. Liebendörfer, and M. Besser, “Erfassung und Vergleich
(mathematischer) Eingangsvoraussetzungen angehender Studierender verschiedener
mathematikhaltiger Studiengänge,” in Hanse-Kolloquium zur Hochschuldidaktik
der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November
2021 aus Bochum, J. Härterich, M. Kallweit, K. Rolka, and T. Skill, Eds. Münster:
WTM, 2023, pp. 66–80.'
mla: Göller, Robin, et al. “Erfassung Und Vergleich (Mathematischer) Eingangsvoraussetzungen
Angehender Studierender Verschiedener Mathematikhaltiger Studiengänge.” Hanse-Kolloquium
Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium
Am 12 November 2021 Aus Bochum, edited by Jörg Härterich et al., WTM, 2023,
pp. 66–80.
short: 'R. Göller, L. Gildehaus, M. Liebendörfer, M. Besser, in: J. Härterich, M.
Kallweit, K. Rolka, T. Skill (Eds.), Hanse-Kolloquium Zur Hochschuldidaktik Der
Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021
Aus Bochum, WTM, Münster, 2023, pp. 66–80.'
date_created: 2024-03-25T10:05:57Z
date_updated: 2024-03-25T10:09:46Z
department:
- _id: '10'
- _id: '625'
- _id: '34'
- _id: '97'
- _id: '98'
editor:
- first_name: Jörg
full_name: Härterich, Jörg
last_name: Härterich
- first_name: Michael
full_name: Kallweit, Michael
last_name: Kallweit
- first_name: Katrin
full_name: Rolka, Katrin
last_name: Rolka
- first_name: Thomas
full_name: Skill, Thomas
last_name: Skill
page: 66–80
place: Münster
publication: Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge
zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum
publication_identifier:
isbn:
- 978-3-95987-264-5
publisher: WTM
status: public
title: Erfassung und Vergleich (mathematischer) Eingangsvoraussetzungen angehender
Studierender verschiedener mathematikhaltiger Studiengänge
type: book_chapter
user_id: '30933'
year: '2023'
...
---
_id: '52809'
author:
- first_name: Leander
full_name: Kempen, Leander
last_name: Kempen
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
citation:
ama: 'Kempen L, Liebendörfer M. Zu digital - zu viel - zu schwer? Qualitative Einsichten
in das Erleben und Handeln von Erstsemester-Studierenden der Mathematik während
der Corona-Pandemie. In: Härterich J, Kallweit M, Rolka K, Skill T, eds. Hanse-Kolloquium
Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium
Am 12 November 2021 Aus Bochum. WTM; 2023:91–106.'
apa: Kempen, L., & Liebendörfer, M. (2023). Zu digital - zu viel - zu schwer?
Qualitative Einsichten in das Erleben und Handeln von Erstsemester-Studierenden
der Mathematik während der Corona-Pandemie. In J. Härterich, M. Kallweit, K. Rolka,
& T. Skill (Eds.), Hanse-Kolloquium zur Hochschuldidaktik der Mathematik
2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum
(pp. 91–106). WTM.
bibtex: '@inbook{Kempen_Liebendörfer_2023, place={Münster}, title={Zu digital -
zu viel - zu schwer? Qualitative Einsichten in das Erleben und Handeln von Erstsemester-Studierenden
der Mathematik während der Corona-Pandemie}, booktitle={Hanse-Kolloquium zur Hochschuldidaktik
der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November
2021 aus Bochum}, publisher={WTM}, author={Kempen, Leander and Liebendörfer, Michael},
editor={Härterich, Jörg and Kallweit, Michael and Rolka, Katrin and Skill, Thomas},
year={2023}, pages={91–106} }'
chicago: 'Kempen, Leander, and Michael Liebendörfer. “Zu Digital - Zu Viel - Zu
Schwer? Qualitative Einsichten in Das Erleben Und Handeln von Erstsemester-Studierenden
Der Mathematik Während Der Corona-Pandemie.” In Hanse-Kolloquium Zur Hochschuldidaktik
Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November
2021 Aus Bochum, edited by Jörg Härterich, Michael Kallweit, Katrin Rolka,
and Thomas Skill, 91–106. Münster: WTM, 2023.'
ieee: 'L. Kempen and M. Liebendörfer, “Zu digital - zu viel - zu schwer? Qualitative
Einsichten in das Erleben und Handeln von Erstsemester-Studierenden der Mathematik
während der Corona-Pandemie,” in Hanse-Kolloquium zur Hochschuldidaktik der
Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021
aus Bochum, J. Härterich, M. Kallweit, K. Rolka, and T. Skill, Eds. Münster:
WTM, 2023, pp. 91–106.'
mla: Kempen, Leander, and Michael Liebendörfer. “Zu Digital - Zu Viel - Zu Schwer?
Qualitative Einsichten in Das Erleben Und Handeln von Erstsemester-Studierenden
Der Mathematik Während Der Corona-Pandemie.” Hanse-Kolloquium Zur Hochschuldidaktik
Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November
2021 Aus Bochum, edited by Jörg Härterich et al., WTM, 2023, pp. 91–106.
short: 'L. Kempen, M. Liebendörfer, in: J. Härterich, M. Kallweit, K. Rolka, T.
Skill (Eds.), Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge
Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum, WTM, Münster,
2023, pp. 91–106.'
date_created: 2024-03-25T10:05:42Z
date_updated: 2024-03-25T10:09:51Z
department:
- _id: '10'
- _id: '625'
- _id: '34'
- _id: '97'
- _id: '98'
editor:
- first_name: Jörg
full_name: Härterich, Jörg
last_name: Härterich
- first_name: Michael
full_name: Kallweit, Michael
last_name: Kallweit
- first_name: Katrin
full_name: Rolka, Katrin
last_name: Rolka
- first_name: Thomas
full_name: Skill, Thomas
last_name: Skill
page: 91–106
place: Münster
publication: Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge
zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum
publication_identifier:
isbn:
- 978-3-95987-264-5
publisher: WTM
status: public
title: Zu digital - zu viel - zu schwer? Qualitative Einsichten in das Erleben und
Handeln von Erstsemester-Studierenden der Mathematik während der Corona-Pandemie
type: book_chapter
user_id: '30933'
year: '2023'
...
---
_id: '52813'
author:
- first_name: Sarah
full_name: Schlüter, Sarah
last_name: Schlüter
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
citation:
ama: 'Schlüter S, Liebendörfer M. Bearbeitungsmuster von Studierenden im Umgang
mit formalen Definitionen im Kontext konstanter Folgen. In: Goethe-Universität
Frankfur I-P, ed. Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung
Der Gesellschaft Für Didaktik Der Mathematik. Vol 2. WTM; 2023:1177–1180.
doi:10.37626/GA9783959872089.0'
apa: Schlüter, S., & Liebendörfer, M. (2023). Bearbeitungsmuster von Studierenden
im Umgang mit formalen Definitionen im Kontext konstanter Folgen. In I.-P. Goethe-Universität
Frankfur (Ed.), Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der
Gesellschaft für Didaktik der Mathematik (Vol. 2, pp. 1177–1180). WTM. https://doi.org/10.37626/GA9783959872089.0
bibtex: '@inbook{Schlüter_Liebendörfer_2023, place={Münster}, title={Bearbeitungsmuster
von Studierenden im Umgang mit formalen Definitionen im Kontext konstanter Folgen},
volume={2}, DOI={10.37626/GA9783959872089.0},
booktitle={Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft
für Didaktik der Mathematik}, publisher={WTM}, author={Schlüter, Sarah and Liebendörfer,
Michael}, editor={Goethe-Universität Frankfur, IDMI-Primar}, year={2023}, pages={1177–1180}
}'
chicago: 'Schlüter, Sarah, and Michael Liebendörfer. “Bearbeitungsmuster von Studierenden
Im Umgang Mit Formalen Definitionen Im Kontext Konstanter Folgen.” In Beiträge
Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik
Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfur, 2:1177–1180.
Münster: WTM, 2023. https://doi.org/10.37626/GA9783959872089.0.'
ieee: 'S. Schlüter and M. Liebendörfer, “Bearbeitungsmuster von Studierenden im
Umgang mit formalen Definitionen im Kontext konstanter Folgen,” in Beiträge
zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik
der Mathematik, vol. 2, I.-P. Goethe-Universität Frankfur, Ed. Münster: WTM,
2023, pp. 1177–1180.'
mla: Schlüter, Sarah, and Michael Liebendörfer. “Bearbeitungsmuster von Studierenden
Im Umgang Mit Formalen Definitionen Im Kontext Konstanter Folgen.” Beiträge
Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik
Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfur, vol. 2,
WTM, 2023, pp. 1177–1180, doi:10.37626/GA9783959872089.0.
short: 'S. Schlüter, M. Liebendörfer, in: I.-P. Goethe-Universität Frankfur (Ed.),
Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für
Didaktik Der Mathematik, WTM, Münster, 2023, pp. 1177–1180.'
date_created: 2024-03-25T10:06:24Z
date_updated: 2024-03-25T10:09:27Z
department:
- _id: '10'
- _id: '625'
- _id: '34'
- _id: '97'
- _id: '98'
doi: 10.37626/GA9783959872089.0
editor:
- first_name: IDMI-Primar
full_name: Goethe-Universität Frankfur, IDMI-Primar
last_name: Goethe-Universität Frankfur
intvolume: ' 2'
page: 1177–1180
place: Münster
publication: Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft
für Didaktik der Mathematik
publication_identifier:
isbn:
- 978-3-95987-208-9
publisher: WTM
status: public
title: Bearbeitungsmuster von Studierenden im Umgang mit formalen Definitionen im
Kontext konstanter Folgen
type: book_chapter
user_id: '30933'
volume: 2
year: '2023'
...
---
_id: '52812'
author:
- first_name: Sandra
full_name: Krämer, Sandra
last_name: Krämer
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
citation:
ama: 'Krämer S, Liebendörfer M. Förderung prozeduraler Flexibilität durch Lernvideos
mit interaktiven Aufgaben. In: Goethe-Universität Frankfur I-P, ed. Beiträge
Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik
Der Mathematik. Vol 2. WTM; 2023:949–952. doi:10.37626/GA9783959872089.0'
apa: Krämer, S., & Liebendörfer, M. (2023). Förderung prozeduraler Flexibilität
durch Lernvideos mit interaktiven Aufgaben. In I.-P. Goethe-Universität Frankfur
(Ed.), Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft
für Didaktik der Mathematik (Vol. 2, pp. 949–952). WTM. https://doi.org/10.37626/GA9783959872089.0
bibtex: '@inbook{Krämer_Liebendörfer_2023, place={Münster}, title={Förderung prozeduraler
Flexibilität durch Lernvideos mit interaktiven Aufgaben}, volume={2}, DOI={10.37626/GA9783959872089.0},
booktitle={Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft
für Didaktik der Mathematik}, publisher={WTM}, author={Krämer, Sandra and Liebendörfer,
Michael}, editor={Goethe-Universität Frankfur, IDMI-Primar}, year={2023}, pages={949–952}
}'
chicago: 'Krämer, Sandra, and Michael Liebendörfer. “Förderung Prozeduraler Flexibilität
Durch Lernvideos Mit Interaktiven Aufgaben.” In Beiträge Zum Mathematikunterricht
2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited
by IDMI-Primar Goethe-Universität Frankfur, 2:949–952. Münster: WTM, 2023. https://doi.org/10.37626/GA9783959872089.0.'
ieee: 'S. Krämer and M. Liebendörfer, “Förderung prozeduraler Flexibilität durch
Lernvideos mit interaktiven Aufgaben,” in Beiträge zum Mathematikunterricht
2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, vol.
2, I.-P. Goethe-Universität Frankfur, Ed. Münster: WTM, 2023, pp. 949–952.'
mla: Krämer, Sandra, and Michael Liebendörfer. “Förderung Prozeduraler Flexibilität
Durch Lernvideos Mit Interaktiven Aufgaben.” Beiträge Zum Mathematikunterricht
2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited
by IDMI-Primar Goethe-Universität Frankfur, vol. 2, WTM, 2023, pp. 949–952, doi:10.37626/GA9783959872089.0.
short: 'S. Krämer, M. Liebendörfer, in: I.-P. Goethe-Universität Frankfur (Ed.),
Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für
Didaktik Der Mathematik, WTM, Münster, 2023, pp. 949–952.'
date_created: 2024-03-25T10:06:16Z
date_updated: 2024-03-25T10:09:35Z
department:
- _id: '10'
- _id: '625'
- _id: '34'
- _id: '97'
- _id: '98'
doi: 10.37626/GA9783959872089.0
editor:
- first_name: IDMI-Primar
full_name: Goethe-Universität Frankfur, IDMI-Primar
last_name: Goethe-Universität Frankfur
intvolume: ' 2'
page: 949–952
place: Münster
publication: Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft
für Didaktik der Mathematik
publication_identifier:
isbn:
- 978-3-95987-208-9
publisher: WTM
status: public
title: Förderung prozeduraler Flexibilität durch Lernvideos mit interaktiven Aufgaben
type: book_chapter
user_id: '30933'
volume: 2
year: '2023'
...
---
_id: '52807'
abstract:
- lang: eng
text: Many preservice mathematics teachers lose their motivation during their first
year at university. This phenomenon has been repeatedly described in recent years
but is not yet fully understood. Since motivation may relate to different objects
such as mathematics or teaching, we aim to qualitatively reconstruct different
facets of the central motivational constructs of Situated-Expectancy-Value theory
(intrinsic value, attainment value, utility value, cost, and expectancy of success)
for preservice mathematics teachers. The analysis of longitudinal group interviews
of 14 preservice higher-secondary mathematic teachers from a German university
revealed different objects of motivation (e.g., teaching mathematics, scientific
mathematics, procedural mathematics, or proof-based mathematics) in preservice
teachers' values and expectancy of success. Furthermore, relations between those
values and expectancy of success were identified that played a significant role
in preservice teachers’ motivational development over their first semester (e.g.,
relations of attainment value for scientific mathematics and psychological cost).
Theoretical and practical implications towards a teaching-specific conceptualization
of expectancy of success and values and value interventions are being discussed.
citation:
ama: Preservice teachers’ mathematics-related values and expectancy in the transition
from school to university. Published online 2023. doi:10.48489/QUADRANTE.31191
apa: Preservice teachers’ mathematics-related values and expectancy in the transition
from school to university. (2023). https://doi.org/10.48489/QUADRANTE.31191
bibtex: '@article{Preservice teachers’ mathematics-related values and expectancy
in the transition from school to university_2023, DOI={10.48489/QUADRANTE.31191},
year={2023} }'
chicago: “Preservice Teachers’ Mathematics-Related Values and Expectancy in the
Transition from School to University,” 2023. https://doi.org/10.48489/QUADRANTE.31191.
ieee: '“Preservice teachers’ mathematics-related values and expectancy in the transition
from school to university,” 2023, doi: 10.48489/QUADRANTE.31191.'
mla: Preservice Teachers’ Mathematics-Related Values and Expectancy in the Transition
from School to University. 2023, doi:10.48489/QUADRANTE.31191.
short: (2023).
date_created: 2024-03-25T10:02:25Z
date_updated: 2024-03-25T10:10:11Z
department:
- _id: '10'
- _id: '625'
- _id: '34'
- _id: '97'
- _id: '98'
doi: 10.48489/QUADRANTE.31191
language:
- iso: en
status: public
title: Preservice teachers’ mathematics-related values and expectancy in the transition
from school to university
type: journal_article
user_id: '30933'
year: '2023'
...
---
_id: '45971'
abstract:
- lang: eng
text: "Abstract\r\n An error estimate
for a canonical discretization of the harmonic map heat flow into spheres is derived.
The numerical scheme uses standard finite elements with a nodal treatment of linearized
unit-length constraints. The analysis is based on elementary approximation results
and only uses the discrete weak formulation."
author:
- first_name: Sören
full_name: Bartels, Sören
last_name: Bartels
- first_name: Balázs
full_name: Kovács, Balázs
id: '100441'
last_name: Kovács
orcid: 0000-0001-9872-3474
- first_name: Zhangxian
full_name: Wang, Zhangxian
last_name: Wang
citation:
ama: Bartels S, Kovács B, Wang Z. Error analysis for the numerical approximation
of the harmonic map heat flow with nodal constraints. IMA Journal of Numerical
Analysis. Published online 2023. doi:10.1093/imanum/drad037
apa: Bartels, S., Kovács, B., & Wang, Z. (2023). Error analysis for the numerical
approximation of the harmonic map heat flow with nodal constraints. IMA Journal
of Numerical Analysis. https://doi.org/10.1093/imanum/drad037
bibtex: '@article{Bartels_Kovács_Wang_2023, title={Error analysis for the numerical
approximation of the harmonic map heat flow with nodal constraints}, DOI={10.1093/imanum/drad037},
journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press
(OUP)}, author={Bartels, Sören and Kovács, Balázs and Wang, Zhangxian}, year={2023}
}'
chicago: Bartels, Sören, Balázs Kovács, and Zhangxian Wang. “Error Analysis for
the Numerical Approximation of the Harmonic Map Heat Flow with Nodal Constraints.”
IMA Journal of Numerical Analysis, 2023. https://doi.org/10.1093/imanum/drad037.
ieee: 'S. Bartels, B. Kovács, and Z. Wang, “Error analysis for the numerical approximation
of the harmonic map heat flow with nodal constraints,” IMA Journal of Numerical
Analysis, 2023, doi: 10.1093/imanum/drad037.'
mla: Bartels, Sören, et al. “Error Analysis for the Numerical Approximation of the
Harmonic Map Heat Flow with Nodal Constraints.” IMA Journal of Numerical Analysis,
Oxford University Press (OUP), 2023, doi:10.1093/imanum/drad037.
short: S. Bartels, B. Kovács, Z. Wang, IMA Journal of Numerical Analysis (2023).
date_created: 2023-07-10T12:32:10Z
date_updated: 2024-04-03T09:15:27Z
department:
- _id: '841'
doi: 10.1093/imanum/drad037
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
publication: IMA Journal of Numerical Analysis
publication_identifier:
issn:
- 0272-4979
- 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Error analysis for the numerical approximation of the harmonic map heat flow
with nodal constraints
type: journal_article
user_id: '100441'
year: '2023'
...
---
_id: '53140'
abstract:
- lang: eng
text: We present a new stability and error analysis of fully discrete approximation
schemes for the transient Stokes equation. For the spatial discretization, we
consider a wide class of Galerkin finite element methods which includes both inf-sup
stable spaces and symmetric pressure stabilized formulations. We extend the results
from Burman and Fernández [\textit{SIAM J. Numer. Anal.}, 47 (2009), pp. 409-439]
and provide a unified theoretical analysis of backward difference formulae (BDF
methods) of order 1 to 6. The main novelty of our approach lies in the use of
Dahlquist's G-stability concept together with multiplier techniques introduced
by Nevannlina-Odeh and recently by Akrivis et al. [\textit{SIAM J. Numer. Anal.},
59 (2021), pp. 2449-2472] to derive optimal stability and error estimates for
both the velocity and the pressure. When combined with a method dependent Ritz
projection for the initial data, unconditional stability can be shown while for
arbitrary interpolation, pressure stability is subordinate to the fulfillment
of a mild inverse CFL-type condition between space and time discretizations.
author:
- first_name: Alessandro
full_name: Contri, Alessandro
last_name: Contri
- first_name: Balázs
full_name: Kovács, Balázs
id: '100441'
last_name: Kovács
orcid: 0000-0001-9872-3474
- first_name: André
full_name: Massing, André
last_name: Massing
citation:
ama: 'Contri A, Kovács B, Massing A. Error analysis of BDF 1-6 time-stepping methods
for the transient Stokes problem: velocity and pressure estimates. arXiv.
Published online 2023. doi:10.48550/ARXIV.2312.05511'
apa: 'Contri, A., Kovács, B., & Massing, A. (2023). Error analysis of BDF 1-6
time-stepping methods for the transient Stokes problem: velocity and pressure
estimates. ArXiv. https://doi.org/10.48550/ARXIV.2312.05511'
bibtex: '@article{Contri_Kovács_Massing_2023, title={Error analysis of BDF 1-6 time-stepping
methods for the transient Stokes problem: velocity and pressure estimates}, DOI={10.48550/ARXIV.2312.05511},
journal={arXiv}, author={Contri, Alessandro and Kovács, Balázs and Massing, André},
year={2023} }'
chicago: 'Contri, Alessandro, Balázs Kovács, and André Massing. “Error Analysis
of BDF 1-6 Time-Stepping Methods for the Transient Stokes Problem: Velocity and
Pressure Estimates.” ArXiv, 2023. https://doi.org/10.48550/ARXIV.2312.05511.'
ieee: 'A. Contri, B. Kovács, and A. Massing, “Error analysis of BDF 1-6 time-stepping
methods for the transient Stokes problem: velocity and pressure estimates,” arXiv,
2023, doi: 10.48550/ARXIV.2312.05511.'
mla: 'Contri, Alessandro, et al. “Error Analysis of BDF 1-6 Time-Stepping Methods
for the Transient Stokes Problem: Velocity and Pressure Estimates.” ArXiv,
2023, doi:10.48550/ARXIV.2312.05511.'
short: A. Contri, B. Kovács, A. Massing, ArXiv (2023).
date_created: 2024-04-03T09:08:38Z
date_updated: 2024-04-03T09:12:47Z
department:
- _id: '841'
doi: 10.48550/ARXIV.2312.05511
language:
- iso: eng
publication: arXiv
status: public
title: 'Error analysis of BDF 1-6 time-stepping methods for the transient Stokes problem:
velocity and pressure estimates'
type: journal_article
user_id: '100441'
year: '2023'
...
---
_id: '53142'
author:
- first_name: Thomas
full_name: Berger, Thomas
id: '77457'
last_name: Berger
- first_name: Lukas
full_name: Lanza, Lukas
last_name: Lanza
citation:
ama: 'Berger T, Lanza L. Funnel control of linear systems with arbitrary relative
degree under output measurement losses. IMA Journal of Mathematical Control
and Information,. 2023;40(4):691-713. doi:doi:
10.1093/imamci/dnad029'
apa: 'Berger, T., & Lanza, L. (2023). Funnel control of linear systems with
arbitrary relative degree under output measurement losses. IMA Journal of Mathematical
Control and Information, 40(4), 691–713. https://doi.org/doi: 10.1093/imamci/dnad029'
bibtex: '@article{Berger_Lanza_2023, title={Funnel control of linear systems with
arbitrary relative degree under output measurement losses}, volume={40}, DOI={doi: 10.1093/imamci/dnad029},
number={4}, journal={IMA Journal of Mathematical Control and Information,}, author={Berger,
Thomas and Lanza, Lukas}, year={2023}, pages={691–713} }'
chicago: 'Berger, Thomas, and Lukas Lanza. “Funnel Control of Linear Systems with
Arbitrary Relative Degree under Output Measurement Losses.” IMA Journal of
Mathematical Control and Information, 40, no. 4 (2023): 691–713. https://doi.org/doi: 10.1093/imamci/dnad029.'
ieee: 'T. Berger and L. Lanza, “Funnel control of linear systems with arbitrary
relative degree under output measurement losses,” IMA Journal of Mathematical
Control and Information, vol. 40, no. 4, pp. 691–713, 2023, doi: doi: 10.1093/imamci/dnad029.'
mla: 'Berger, Thomas, and Lukas Lanza. “Funnel Control of Linear Systems with Arbitrary
Relative Degree under Output Measurement Losses.” IMA Journal of Mathematical
Control and Information, vol. 40, no. 4, 2023, pp. 691–713, doi:doi: 10.1093/imamci/dnad029.'
short: T. Berger, L. Lanza, IMA Journal of Mathematical Control and Information,
40 (2023) 691–713.
date_created: 2024-04-03T09:37:59Z
date_updated: 2024-04-05T05:50:29Z
department:
- _id: '618'
doi: 'doi: 10.1093/imamci/dnad029'
intvolume: ' 40'
issue: '4'
language:
- iso: eng
page: 691-713
publication: IMA Journal of Mathematical Control and Information,
status: public
title: Funnel control of linear systems with arbitrary relative degree under output
measurement losses
type: journal_article
user_id: '77457'
volume: 40
year: '2023'
...
---
_id: '53143'
author:
- first_name: J. G.
full_name: Lee, J. G.
last_name: Lee
- first_name: Thomas
full_name: Berger, Thomas
id: '77457'
last_name: Berger
- first_name: S.
full_name: Trenn, S.
last_name: Trenn
- first_name: H.
full_name: Shim, H.
last_name: Shim
citation:
ama: 'Lee JG, Berger T, Trenn S, Shim H. Edge-wise funnel output synchronization
of heterogeneous agents with relative degree one. Automatica. 2023;156:Article
111204. doi:doi: 10.1016/j.automatica.2023.111204 (open access)'
apa: 'Lee, J. G., Berger, T., Trenn, S., & Shim, H. (2023). Edge-wise funnel
output synchronization of heterogeneous agents with relative degree one. Automatica,
156, Article 111204. https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open access)'
bibtex: '@article{Lee_Berger_Trenn_Shim_2023, title={Edge-wise funnel output synchronization
of heterogeneous agents with relative degree one}, volume={156}, DOI={doi: 10.1016/j.automatica.2023.111204
(open access)}, journal={Automatica}, author={Lee, J. G. and Berger, Thomas
and Trenn, S. and Shim, H.}, year={2023}, pages={Article 111204} }'
chicago: 'Lee, J. G., Thomas Berger, S. Trenn, and H. Shim. “Edge-Wise Funnel Output
Synchronization of Heterogeneous Agents with Relative Degree One.” Automatica
156 (2023): Article 111204. https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open access).'
ieee: 'J. G. Lee, T. Berger, S. Trenn, and H. Shim, “Edge-wise funnel output synchronization
of heterogeneous agents with relative degree one,” Automatica, vol. 156,
p. Article 111204, 2023, doi: doi: 10.1016/j.automatica.2023.111204 (open access).'
mla: 'Lee, J. G., et al. “Edge-Wise Funnel Output Synchronization of Heterogeneous
Agents with Relative Degree One.” Automatica, vol. 156, 2023, p. Article
111204, doi:doi: 10.1016/j.automatica.2023.111204 (open access).'
short: J.G. Lee, T. Berger, S. Trenn, H. Shim, Automatica 156 (2023) Article 111204.
date_created: 2024-04-03T09:56:35Z
date_updated: 2024-04-05T05:52:28Z
department:
- _id: '618'
doi: 'doi: 10.1016/j.automatica.2023.111204 (open access)'
intvolume: ' 156'
language:
- iso: eng
page: Article 111204
publication: Automatica
status: public
title: Edge-wise funnel output synchronization of heterogeneous agents with relative
degree one
type: journal_article
user_id: '77457'
volume: 156
year: '2023'
...