---
_id: '63697'
author:
- first_name: Lea
full_name: Stallmeister, Lea
id: '63369'
last_name: Stallmeister
- first_name: Sebastian
full_name: Rezat, Sebastian
id: '31132'
last_name: Rezat
citation:
ama: 'Stallmeister L, Rezat S. Die Bedeutung des Mathematikschulbuchs in Zeiten
der Ressourcenvielfalt. In: Schick L, Platz M, Lambert A, eds. Beiträge Zum
Mathematikunterricht 2025. 58. Jahrestagung Der Gesellschaft Für Didaktik Der
Mathematik. WTM-Verlag; 2025. doi:10.17877/DE290R-26373'
apa: Stallmeister, L., & Rezat, S. (2025). Die Bedeutung des Mathematikschulbuchs
in Zeiten der Ressourcenvielfalt. In L. Schick, M. Platz, & A. Lambert (Eds.),
Beiträge zum Mathematikunterricht 2025. 58. Jahrestagung der Gesellschaft für
Didaktik der Mathematik. WTM-Verlag. https://doi.org/10.17877/DE290R-26373
bibtex: '@inproceedings{Stallmeister_Rezat_2025, title={Die Bedeutung des Mathematikschulbuchs
in Zeiten der Ressourcenvielfalt}, DOI={10.17877/DE290R-26373},
booktitle={Beiträge zum Mathematikunterricht 2025. 58. Jahrestagung der Gesellschaft
für Didaktik der Mathematik}, publisher={WTM-Verlag}, author={Stallmeister, Lea
and Rezat, Sebastian}, editor={Schick, Lisa and Platz, Melanie and Lambert, Anselm},
year={2025} }'
chicago: Stallmeister, Lea, and Sebastian Rezat. “Die Bedeutung Des Mathematikschulbuchs
in Zeiten Der Ressourcenvielfalt.” In Beiträge Zum Mathematikunterricht 2025.
58. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by Lisa
Schick, Melanie Platz, and Anselm Lambert. WTM-Verlag, 2025. https://doi.org/10.17877/DE290R-26373.
ieee: 'L. Stallmeister and S. Rezat, “Die Bedeutung des Mathematikschulbuchs in
Zeiten der Ressourcenvielfalt,” in Beiträge zum Mathematikunterricht 2025.
58. Jahrestagung der Gesellschaft für Didaktik der Mathematik, Universität
des Saarlandes, Saarbrücken, 2025, doi: 10.17877/DE290R-26373.'
mla: Stallmeister, Lea, and Sebastian Rezat. “Die Bedeutung Des Mathematikschulbuchs
in Zeiten Der Ressourcenvielfalt.” Beiträge Zum Mathematikunterricht 2025.
58. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by Lisa
Schick et al., WTM-Verlag, 2025, doi:10.17877/DE290R-26373.
short: 'L. Stallmeister, S. Rezat, in: L. Schick, M. Platz, A. Lambert (Eds.), Beiträge
Zum Mathematikunterricht 2025. 58. Jahrestagung Der Gesellschaft Für Didaktik
Der Mathematik, WTM-Verlag, 2025.'
conference:
location: Universität des Saarlandes, Saarbrücken
name: 58. Jahrestagung der Gesellschaft für Didaktik der Mathematik
date_created: 2026-01-22T08:30:16Z
date_updated: 2026-01-22T08:36:01Z
department:
- _id: '98'
doi: 10.17877/DE290R-26373
editor:
- first_name: Lisa
full_name: Schick, Lisa
last_name: Schick
- first_name: Melanie
full_name: Platz, Melanie
last_name: Platz
- first_name: Anselm
full_name: Lambert, Anselm
last_name: Lambert
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://dx.doi.org/10.17877/DE290R-26373
oa: '1'
publication: Beiträge zum Mathematikunterricht 2025. 58. Jahrestagung der Gesellschaft
für Didaktik der Mathematik
publisher: WTM-Verlag
status: public
title: Die Bedeutung des Mathematikschulbuchs in Zeiten der Ressourcenvielfalt
type: conference
user_id: '63369'
year: '2025'
...
---
_id: '62062'
author:
- first_name: Inga
full_name: Neufeld, Inga
id: '61635'
last_name: Neufeld
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
orcid: 0000-0001-6278-4240
citation:
ama: 'Neufeld I, Häsel-Weide U. Learning support practices in the fostering of basic
arithmetic skills. In: Bosch M, Bolondi G, Carreira S, Spagnolo C, Gaidoschik
M, Free University of Bozen-Bolzano an ERME, eds. Proceedings of the Fourteenth
Congress of the European Society for Research in Mathematics Education (CERME14).
; 2025.'
apa: Neufeld, I., & Häsel-Weide, U. (2025). Learning support practices in the
fostering of basic arithmetic skills. In M. Bosch, G. Bolondi, S. Carreira, C.
Spagnolo, M. Gaidoschik, & Free University of Bozen-Bolzano an ERME (Eds.),
Proceedings of the Fourteenth Congress of the European Society for Research
in Mathematics Education (CERME14).
bibtex: '@inproceedings{Neufeld_Häsel-Weide_2025, title={Learning support practices
in the fostering of basic arithmetic skills}, booktitle={Proceedings of the Fourteenth
Congress of the European Society for Research in Mathematics Education (CERME14)},
author={Neufeld, Inga and Häsel-Weide, Uta}, editor={Bosch, M. and Bolondi, G.
and Carreira, S. and Spagnolo, C. and Gaidoschik, M. and Free University of Bozen-Bolzano
an ERME}, year={2025} }'
chicago: Neufeld, Inga, and Uta Häsel-Weide. “Learning Support Practices in the
Fostering of Basic Arithmetic Skills.” In Proceedings of the Fourteenth Congress
of the European Society for Research in Mathematics Education (CERME14), edited
by M. Bosch, G. Bolondi, S. Carreira, C. Spagnolo, M. Gaidoschik, and Free University
of Bozen-Bolzano an ERME, 2025.
ieee: I. Neufeld and U. Häsel-Weide, “Learning support practices in the fostering
of basic arithmetic skills,” in Proceedings of the Fourteenth Congress of the
European Society for Research in Mathematics Education (CERME14), Bozen, Italy,
2025.
mla: Neufeld, Inga, and Uta Häsel-Weide. “Learning Support Practices in the Fostering
of Basic Arithmetic Skills.” Proceedings of the Fourteenth Congress of the
European Society for Research in Mathematics Education (CERME14), edited by
M. Bosch et al., 2025.
short: 'I. Neufeld, U. Häsel-Weide, in: M. Bosch, G. Bolondi, S. Carreira, C. Spagnolo,
M. Gaidoschik, Free University of Bozen-Bolzano an ERME (Eds.), Proceedings of
the Fourteenth Congress of the European Society for Research in Mathematics Education
(CERME14), 2025.'
conference:
location: Bozen, Italy
name: Fourteenth Congress of the European Society for Research in Mathematics Education
(CERME14)
corporate_editor:
- Free University of Bozen-Bolzano an ERME
date_created: 2025-11-04T09:00:29Z
date_updated: 2026-01-22T10:20:49Z
department:
- _id: '543'
editor:
- first_name: M.
full_name: Bosch, M.
last_name: Bosch
- first_name: G.
full_name: Bolondi, G.
last_name: Bolondi
- first_name: S.
full_name: Carreira, S.
last_name: Carreira
- first_name: C.
full_name: Spagnolo, C.
last_name: Spagnolo
- first_name: M.
full_name: Gaidoschik, M.
last_name: Gaidoschik
language:
- iso: eng
publication: Proceedings of the Fourteenth Congress of the European Society for Research
in Mathematics Education (CERME14)
related_material:
link:
- relation: confirmation
url: 'https://hal.science/hal-05293284 '
status: public
title: Learning support practices in the fostering of basic arithmetic skills
type: conference
user_id: '44184'
year: '2025'
...
---
_id: '62063'
author:
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
orcid: 0000-0001-6278-4240
- first_name: Marcus
full_name: Nührenbörger, Marcus
last_name: Nührenbörger
citation:
ama: 'Häsel-Weide U, Nührenbörger M. Practices in math discourses in inclusive primary
school. In: Bosch M, Bolondi G, Carreira S, Spagnolo C, Gaidoschik M, Free University
of Bozen-Bolzano an ERME, eds. Proceedings of the Fourteenth Congress of the
European Society for Research in Mathematics Education (CERME14). ; 2025.'
apa: Häsel-Weide, U., & Nührenbörger, M. (2025). Practices in math discourses
in inclusive primary school. In M. Bosch, G. Bolondi, S. Carreira, C. Spagnolo,
M. Gaidoschik, & Free University of Bozen-Bolzano an ERME (Eds.), Proceedings
of the Fourteenth Congress of the European Society for Research in Mathematics
Education (CERME14).
bibtex: '@inproceedings{Häsel-Weide_Nührenbörger_2025, title={Practices in math
discourses in inclusive primary school}, booktitle={Proceedings of the Fourteenth
Congress of the European Society for Research in Mathematics Education (CERME14)},
author={Häsel-Weide, Uta and Nührenbörger, Marcus}, editor={Bosch, M. and Bolondi,
G. and Carreira, S. and Spagnolo, C. and Gaidoschik, M. and Free University of
Bozen-Bolzano an ERME}, year={2025} }'
chicago: Häsel-Weide, Uta, and Marcus Nührenbörger. “Practices in Math Discourses
in Inclusive Primary School.” In Proceedings of the Fourteenth Congress of
the European Society for Research in Mathematics Education (CERME14), edited
by M. Bosch, G. Bolondi, S. Carreira, C. Spagnolo, M. Gaidoschik, and Free University
of Bozen-Bolzano an ERME, 2025.
ieee: U. Häsel-Weide and M. Nührenbörger, “Practices in math discourses in inclusive
primary school,” in Proceedings of the Fourteenth Congress of the European
Society for Research in Mathematics Education (CERME14), Bozen, Italy, 2025.
mla: Häsel-Weide, Uta, and Marcus Nührenbörger. “Practices in Math Discourses in
Inclusive Primary School.” Proceedings of the Fourteenth Congress of the European
Society for Research in Mathematics Education (CERME14), edited by M. Bosch
et al., 2025.
short: 'U. Häsel-Weide, M. Nührenbörger, in: M. Bosch, G. Bolondi, S. Carreira,
C. Spagnolo, M. Gaidoschik, Free University of Bozen-Bolzano an ERME (Eds.), Proceedings
of the Fourteenth Congress of the European Society for Research in Mathematics
Education (CERME14), 2025.'
conference:
location: Bozen, Italy
name: Fourteenth Congress of the European Society for Research in Mathematics Education
(CERME14)
corporate_editor:
- Free University of Bozen-Bolzano an ERME
date_created: 2025-11-04T09:03:20Z
date_updated: 2026-01-22T10:20:55Z
department:
- _id: '543'
editor:
- first_name: M.
full_name: Bosch, M.
last_name: Bosch
- first_name: G.
full_name: Bolondi, G.
last_name: Bolondi
- first_name: S.
full_name: Carreira, S.
last_name: Carreira
- first_name: C.
full_name: Spagnolo, C.
last_name: Spagnolo
- first_name: M.
full_name: Gaidoschik, M.
last_name: Gaidoschik
language:
- iso: eng
publication: Proceedings of the Fourteenth Congress of the European Society for Research
in Mathematics Education (CERME14)
related_material:
link:
- relation: confirmation
url: 'https://hal.science/hal-05285878 '
status: public
title: Practices in math discourses in inclusive primary school
type: conference
user_id: '44184'
year: '2025'
...
---
_id: '63730'
author:
- first_name: Julia
full_name: Bruns, Julia
id: '72183'
last_name: Bruns
orcid: https://orcid.org/0000-0002-6604-5864
- first_name: Hedwig
full_name: Gasteiger, Hedwig
last_name: Gasteiger
- first_name: Bernd
full_name: Lastering, Bernd
last_name: Lastering
- first_name: Theresa
full_name: Schopferer, Theresa
last_name: Schopferer
- first_name: Detlev
full_name: Zech, Detlev
last_name: Zech
citation:
ama: 'Bruns J, Gasteiger H, Lastering B, Schopferer T, Zech D. Frühe mathematische
Bildung als Ausbildungsinhalt der Erzieherinnen- und Erzieher-Ausbildung stärken.
In: Pudenz S, Schoell O, Cleef M, eds. 25 Jahre Berufskolleg - Wegspuren Und
Zukunftspfade. wbv; 2025:175-188.'
apa: Bruns, J., Gasteiger, H., Lastering, B., Schopferer, T., & Zech, D. (2025).
Frühe mathematische Bildung als Ausbildungsinhalt der Erzieherinnen- und Erzieher-Ausbildung
stärken. In S. Pudenz, O. Schoell, & M. Cleef (Eds.), 25 Jahre Berufskolleg
- Wegspuren und Zukunftspfade (pp. 175–188). wbv.
bibtex: '@inbook{Bruns_Gasteiger_Lastering_Schopferer_Zech_2025, place={Bielefeld},
title={Frühe mathematische Bildung als Ausbildungsinhalt der Erzieherinnen- und
Erzieher-Ausbildung stärken}, booktitle={25 Jahre Berufskolleg - Wegspuren und
Zukunftspfade}, publisher={wbv}, author={Bruns, Julia and Gasteiger, Hedwig and
Lastering, Bernd and Schopferer, Theresa and Zech, Detlev}, editor={Pudenz, Stephanie
and Schoell, Oliver and Cleef, Maria}, year={2025}, pages={175–188} }'
chicago: 'Bruns, Julia, Hedwig Gasteiger, Bernd Lastering, Theresa Schopferer, and
Detlev Zech. “Frühe Mathematische Bildung Als Ausbildungsinhalt Der Erzieherinnen-
Und Erzieher-Ausbildung Stärken.” In 25 Jahre Berufskolleg - Wegspuren Und
Zukunftspfade, edited by Stephanie Pudenz, Oliver Schoell, and Maria Cleef,
175–88. Bielefeld: wbv, 2025.'
ieee: 'J. Bruns, H. Gasteiger, B. Lastering, T. Schopferer, and D. Zech, “Frühe
mathematische Bildung als Ausbildungsinhalt der Erzieherinnen- und Erzieher-Ausbildung
stärken,” in 25 Jahre Berufskolleg - Wegspuren und Zukunftspfade, S. Pudenz,
O. Schoell, and M. Cleef, Eds. Bielefeld: wbv, 2025, pp. 175–188.'
mla: Bruns, Julia, et al. “Frühe Mathematische Bildung Als Ausbildungsinhalt Der
Erzieherinnen- Und Erzieher-Ausbildung Stärken.” 25 Jahre Berufskolleg - Wegspuren
Und Zukunftspfade, edited by Stephanie Pudenz et al., wbv, 2025, pp. 175–88.
short: 'J. Bruns, H. Gasteiger, B. Lastering, T. Schopferer, D. Zech, in: S. Pudenz,
O. Schoell, M. Cleef (Eds.), 25 Jahre Berufskolleg - Wegspuren Und Zukunftspfade,
wbv, Bielefeld, 2025, pp. 175–188.'
date_created: 2026-01-26T11:23:48Z
date_updated: 2026-01-26T11:23:55Z
department:
- _id: '611'
editor:
- first_name: Stephanie
full_name: Pudenz, Stephanie
last_name: Pudenz
- first_name: Oliver
full_name: Schoell, Oliver
last_name: Schoell
- first_name: Maria
full_name: Cleef, Maria
last_name: Cleef
language:
- iso: eng
page: 175-188
place: Bielefeld
publication: 25 Jahre Berufskolleg - Wegspuren und Zukunftspfade
publisher: wbv
status: public
title: Frühe mathematische Bildung als Ausbildungsinhalt der Erzieherinnen- und Erzieher-Ausbildung
stärken
type: book_chapter
user_id: '72183'
year: '2025'
...
---
_id: '55459'
article_type: original
author:
- first_name: Nils
full_name: Bullerjahn, Nils
id: '103797'
last_name: Bullerjahn
orcid: https://orcid.org/0009-0003-8460-1574
- first_name: Balázs
full_name: Kovács, Balázs
id: '100441'
last_name: Kovács
orcid: 0000-0001-9872-3474
citation:
ama: Bullerjahn N, Kovács B. Error estimates for full discretization of Cahn--Hilliard
equation with dynamic boundary conditions. IMA Journal of Numerical Analysis.
doi:10.1093/imanum/draf009
apa: Bullerjahn, N., & Kovács, B. (n.d.). Error estimates for full discretization
of Cahn--Hilliard equation with dynamic boundary conditions. IMA Journal of
Numerical Analysis. https://doi.org/10.1093/imanum/draf009
bibtex: '@article{Bullerjahn_Kovács, title={Error estimates for full discretization
of Cahn--Hilliard equation with dynamic boundary conditions}, DOI={10.1093/imanum/draf009},
journal={IMA Journal of Numerical Analysis}, author={Bullerjahn, Nils and Kovács,
Balázs} }'
chicago: Bullerjahn, Nils, and Balázs Kovács. “Error Estimates for Full Discretization
of Cahn--Hilliard Equation with Dynamic Boundary Conditions.” IMA Journal of
Numerical Analysis, n.d. https://doi.org/10.1093/imanum/draf009.
ieee: 'N. Bullerjahn and B. Kovács, “Error estimates for full discretization of
Cahn--Hilliard equation with dynamic boundary conditions,” IMA Journal of Numerical
Analysis, doi: 10.1093/imanum/draf009.'
mla: Bullerjahn, Nils, and Balázs Kovács. “Error Estimates for Full Discretization
of Cahn--Hilliard Equation with Dynamic Boundary Conditions.” IMA Journal of
Numerical Analysis, doi:10.1093/imanum/draf009.
short: N. Bullerjahn, B. Kovács, IMA Journal of Numerical Analysis (n.d.).
date_created: 2024-07-31T09:03:45Z
date_updated: 2026-02-18T14:46:18Z
department:
- _id: '841'
doi: 10.1093/imanum/draf009
language:
- iso: eng
publication: IMA Journal of Numerical Analysis
publication_status: accepted
status: public
title: Error estimates for full discretization of Cahn--Hilliard equation with dynamic
boundary conditions
type: journal_article
user_id: '100441'
year: '2025'
...
---
_id: '53141'
author:
- first_name: Dominik
full_name: Edelmann, Dominik
last_name: Edelmann
- 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: Edelmann D, Kovács B, Lubich C. Numerical analysis of an evolving bulk--surface
model of tumour growth. IMA Journal of Numerical Analysis. 2025;45(5):2581--2627.
doi:10.1093/imanum/drae077
apa: Edelmann, D., Kovács, B., & Lubich, C. (2025). Numerical analysis of an
evolving bulk--surface model of tumour growth. IMA Journal of Numerical Analysis,
45(5), 2581--2627. https://doi.org/10.1093/imanum/drae077
bibtex: '@article{Edelmann_Kovács_Lubich_2025, title={Numerical analysis of an evolving
bulk--surface model of tumour growth}, volume={45}, DOI={10.1093/imanum/drae077},
number={5}, journal={IMA Journal of Numerical Analysis}, author={Edelmann, Dominik
and Kovács, Balázs and Lubich, Christian}, year={2025}, pages={2581--2627} }'
chicago: 'Edelmann, Dominik, Balázs Kovács, and Christian Lubich. “Numerical Analysis
of an Evolving Bulk--Surface Model of Tumour Growth.” IMA Journal of Numerical
Analysis 45, no. 5 (2025): 2581--2627. https://doi.org/10.1093/imanum/drae077.'
ieee: 'D. Edelmann, B. Kovács, and C. Lubich, “Numerical analysis of an evolving
bulk--surface model of tumour growth,” IMA Journal of Numerical Analysis,
vol. 45, no. 5, pp. 2581--2627, 2025, doi: 10.1093/imanum/drae077.'
mla: Edelmann, Dominik, et al. “Numerical Analysis of an Evolving Bulk--Surface
Model of Tumour Growth.” IMA Journal of Numerical Analysis, vol. 45, no.
5, 2025, pp. 2581--2627, doi:10.1093/imanum/drae077.
short: D. Edelmann, B. Kovács, C. Lubich, IMA Journal of Numerical Analysis 45 (2025)
2581--2627.
date_created: 2024-04-03T09:11:36Z
date_updated: 2026-02-18T14:44:54Z
department:
- _id: '841'
doi: 10.1093/imanum/drae077
intvolume: ' 45'
issue: '5'
language:
- iso: eng
page: 2581--2627
publication: IMA Journal of Numerical Analysis
status: public
title: Numerical analysis of an evolving bulk--surface model of tumour growth
type: journal_article
user_id: '100441'
volume: 45
year: '2025'
...
---
_id: '55781'
abstract:
- lang: eng
text: "In this paper, we prove that spatially semi-discrete evolving finite element\r\nmethod
for parabolic equations on a given evolving hypersurface of arbitrary\r\ndimensions
preserves the maximal $L^p$-regularity at the discrete level. We\r\nfirst establish
the results on a stationary surface and then extend them, via a\r\nperturbation
argument, to the case where the underlying surface is evolving\r\nunder a prescribed
velocity field. The proof combines techniques in evolving\r\nfinite element method,
properties of Green's functions on (discretised) closed\r\nsurfaces, and local
energy estimates for finite element methods"
author:
- first_name: Genming
full_name: Bai, Genming
last_name: Bai
- 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
citation:
ama: Bai G, Kovács B, Li B. Maximal regularity of evolving FEMs for parabolic equations
on an evolving surface. IMA Journal of Numerical Analysis. Published online
2025. doi:10.1093/imanum/draf082.
apa: Bai, G., Kovács, B., & Li, B. (2025). Maximal regularity of evolving FEMs
for parabolic equations on an evolving surface. IMA Journal of Numerical Analysis.
https://doi.org/10.1093/imanum/draf082.
bibtex: '@article{Bai_Kovács_Li_2025, title={Maximal regularity of evolving FEMs
for parabolic equations on an evolving surface}, DOI={10.1093/imanum/draf082.},
journal={IMA Journal of Numerical Analysis}, author={Bai, Genming and Kovács,
Balázs and Li, Buyang}, year={2025} }'
chicago: Bai, Genming, Balázs Kovács, and Buyang Li. “Maximal Regularity of Evolving
FEMs for Parabolic Equations on an Evolving Surface.” IMA Journal of Numerical
Analysis, 2025. https://doi.org/10.1093/imanum/draf082.
ieee: 'G. Bai, B. Kovács, and B. Li, “Maximal regularity of evolving FEMs for parabolic
equations on an evolving surface,” IMA Journal of Numerical Analysis,
2025, doi: 10.1093/imanum/draf082.'
mla: Bai, Genming, et al. “Maximal Regularity of Evolving FEMs for Parabolic Equations
on an Evolving Surface.” IMA Journal of Numerical Analysis, 2025, doi:10.1093/imanum/draf082.
short: G. Bai, B. Kovács, B. Li, IMA Journal of Numerical Analysis (2025).
date_created: 2024-08-27T07:37:39Z
date_updated: 2026-02-18T14:47:34Z
department:
- _id: '841'
doi: 10.1093/imanum/draf082.
external_id:
arxiv:
- '2408.14096'
language:
- iso: eng
publication: IMA Journal of Numerical Analysis
status: public
title: Maximal regularity of evolving FEMs for parabolic equations on an evolving
surface
type: journal_article
user_id: '100441'
year: '2025'
...
---
_id: '56717'
abstract:
- lang: eng
text: "We establish a multiresolution analysis on the space $\\text{Herm}(n)$ of\r\n$n\\times
n$ complex Hermitian matrices which is adapted to invariance under\r\nconjugation
by the unitary group $U(n).$ The orbits under this action are\r\nparametrized
by the possible ordered spectra of Hermitian matrices, which\r\nconstitute a closed
Weyl chamber of type $A_{n-1}$ in $\\mathbb R^n.$ The space\r\n$L^2(\\text{Herm}(n))^{U(n)}$
of radial, i.e. $U(n)$-invariant $L^2$-functions\r\non $\\text{Herm}(n)$ is naturally
identified with a certain weighted $L^2$-space\r\non this chamber.\r\n The scale
spaces of our multiresolution analysis are obtained by usual dyadic\r\ndilations
as well as generalized translations of a scaling function, where the\r\ngeneralized
translation is a hypergroup translation which respects the radial\r\ngeometry.
We provide a concise criterion to characterize orthonormal wavelet\r\nbases and
show that such bases always exist. They provide natural orthonormal\r\nbases of
the space $L^2(\\text{Herm}(n))^{U(n)}.$\r\n Furthermore, we show how to obtain
radial scaling functions from classical\r\nscaling functions on $\\mathbb R^{n}$.
Finally, generalizations related to the\r\nCartan decompositions for general compact
Lie groups are indicated."
article_type: original
author:
- first_name: Lukas
full_name: Langen, Lukas
id: '73664'
last_name: Langen
- first_name: Margit
full_name: Rösler, Margit
id: '37390'
last_name: Rösler
citation:
ama: Langen L, Rösler M. Multiresolution analysis on spectra of hermitian matrices.
Indagationes Mathematicae. 2025;36(6):1671-1694.
apa: Langen, L., & Rösler, M. (2025). Multiresolution analysis on spectra of
hermitian matrices. Indagationes Mathematicae, 36(6), 1671–1694.
bibtex: '@article{Langen_Rösler_2025, title={Multiresolution analysis on spectra
of hermitian matrices}, volume={36}, number={6}, journal={Indagationes Mathematicae},
publisher={Elsevier}, author={Langen, Lukas and Rösler, Margit}, year={2025},
pages={1671–1694} }'
chicago: 'Langen, Lukas, and Margit Rösler. “Multiresolution Analysis on Spectra
of Hermitian Matrices.” Indagationes Mathematicae 36, no. 6 (2025): 1671–94.'
ieee: L. Langen and M. Rösler, “Multiresolution analysis on spectra of hermitian
matrices,” Indagationes Mathematicae, vol. 36, no. 6, pp. 1671–1694, 2025.
mla: Langen, Lukas, and Margit Rösler. “Multiresolution Analysis on Spectra of Hermitian
Matrices.” Indagationes Mathematicae, vol. 36, no. 6, Elsevier, 2025, pp.
1671–94.
short: L. Langen, M. Rösler, Indagationes Mathematicae 36 (2025) 1671–1694.
date_created: 2024-10-22T09:31:19Z
date_updated: 2026-02-19T14:16:43Z
ddc:
- '510'
department:
- _id: '555'
external_id:
arxiv:
- '2410.10364'
file:
- access_level: closed
content_type: application/pdf
creator: llangen
date_created: 2026-02-19T14:14:39Z
date_updated: 2026-02-19T14:14:39Z
file_id: '64288'
file_name: MSA_hermitsch_published.pdf
file_size: 443262
relation: main_file
success: 1
file_date_updated: 2026-02-19T14:14:39Z
has_accepted_license: '1'
intvolume: ' 36'
issue: '6'
language:
- iso: eng
main_file_link:
- url: https://doi.org/10.1016/j.indag.2025.03.009
page: 1671-1694
project:
- _id: '357'
name: TRR 358 - Ganzzahlige Strukturen in Geometrie und Darstellungstheorie
publication: Indagationes Mathematicae
publication_status: published
publisher: Elsevier
related_material:
link:
- relation: research_paper
url: https://arxiv.org/abs/2410.10364
status: public
title: Multiresolution analysis on spectra of hermitian matrices
type: journal_article
user_id: '73664'
volume: 36
year: '2025'
...
---
_id: '64289'
abstract:
- lang: eng
text: "Abstract\r\n Motivated by asymptotic
symmetry groups in general relativity, we consider projective unitary representations
\r\n \r\n $$\\overline{\\rho
}$$\r\n \r\n
\ \r\n ρ\r\n ¯\r\n
\ \r\n \r\n \r\n
\ of the Lie group \r\n
\ \r\n $${{\\,\\textrm{Diff}\\,}}_c(M)$$\r\n
\ \r\n
\ \r\n \r\n \r\n
\ \r\n Diff\r\n
\ \r\n \r\n
\ c\r\n \r\n
\ \r\n (\r\n
\ M\r\n )\r\n
\ \r\n \r\n \r\n
\ \r\n of compactly
supported diffeomorphisms of a smooth manifold M that
satisfy a so-called generalized positive energy condition. In particular, this
captures representations that are in a suitable sense compatible with a KMS state
on the von Neumann algebra generated by \r\n \r\n
\ $$\\overline{\\rho }$$\r\n \r\n \r\n
\ ρ\r\n ¯\r\n
\ \r\n \r\n \r\n
\ . We show that if M
is connected and \r\n \r\n
\ $$\\dim (M) > 1$$\r\n \r\n \r\n
\ dim\r\n (\r\n
\ M\r\n )\r\n
\ >\r\n 1\r\n
\ \r\n \r\n \r\n
\ , then any such representation is necessarily
trivial on the identity component \r\n \r\n
\ $${{\\,\\textrm{Diff}\\,}}_c(M)_0$$\r\n
\ \r\n
\ \r\n \r\n \r\n
\ \r\n Diff\r\n
\ \r\n \r\n
\ c\r\n \r\n
\ \r\n \r\n (\r\n
\ M\r\n )\r\n
\ \r\n 0\r\n
\ \r\n \r\n \r\n
\ \r\n . As an
intermediate step towards this result, we determine the continuous second Lie
algebra cohomology \r\n \r\n
\ $$H^2_\\textrm{ct}(\\mathcal {X}_c(M), \\mathbb
{R})$$\r\n \r\n
\ \r\n \r\n H\r\n
\ ct\r\n 2\r\n
\ \r\n \r\n (\r\n
\ \r\n X\r\n
\ c\r\n \r\n
\ \r\n (\r\n
\ M\r\n )\r\n
\ \r\n ,\r\n
\ R\r\n )\r\n
\ \r\n \r\n \r\n
\ \r\n of the
Lie algebra of compactly supported vector fields. This is subtly different from
Gelfand–Fuks cohomology in view of the compact support condition."
article_number: '45'
author:
- first_name: Bas
full_name: Janssens, Bas
last_name: Janssens
- first_name: Milan
full_name: Niestijl, Milan
last_name: Niestijl
citation:
ama: Janssens B, Niestijl M. Generalized Positive Energy Representations of the
Group of Compactly Supported Diffeomorphisms. Communications in Mathematical
Physics. 2025;406(2). doi:10.1007/s00220-024-05226-w
apa: Janssens, B., & Niestijl, M. (2025). Generalized Positive Energy Representations
of the Group of Compactly Supported Diffeomorphisms. Communications in Mathematical
Physics, 406(2), Article 45. https://doi.org/10.1007/s00220-024-05226-w
bibtex: '@article{Janssens_Niestijl_2025, title={Generalized Positive Energy Representations
of the Group of Compactly Supported Diffeomorphisms}, volume={406}, DOI={10.1007/s00220-024-05226-w},
number={245}, journal={Communications in Mathematical Physics}, publisher={Springer
Science and Business Media LLC}, author={Janssens, Bas and Niestijl, Milan}, year={2025}
}'
chicago: Janssens, Bas, and Milan Niestijl. “Generalized Positive Energy Representations
of the Group of Compactly Supported Diffeomorphisms.” Communications in Mathematical
Physics 406, no. 2 (2025). https://doi.org/10.1007/s00220-024-05226-w.
ieee: 'B. Janssens and M. Niestijl, “Generalized Positive Energy Representations
of the Group of Compactly Supported Diffeomorphisms,” Communications in Mathematical
Physics, vol. 406, no. 2, Art. no. 45, 2025, doi: 10.1007/s00220-024-05226-w.'
mla: Janssens, Bas, and Milan Niestijl. “Generalized Positive Energy Representations
of the Group of Compactly Supported Diffeomorphisms.” Communications in Mathematical
Physics, vol. 406, no. 2, 45, Springer Science and Business Media LLC, 2025,
doi:10.1007/s00220-024-05226-w.
short: B. Janssens, M. Niestijl, Communications in Mathematical Physics 406 (2025).
date_created: 2026-02-20T09:33:11Z
date_updated: 2026-02-20T09:41:41Z
department:
- _id: '93'
doi: 10.1007/s00220-024-05226-w
intvolume: ' 406'
issue: '2'
language:
- iso: eng
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: Generalized Positive Energy Representations of the Group of Compactly Supported
Diffeomorphisms
type: journal_article
user_id: '104095'
volume: 406
year: '2025'
...
---
_id: '50299'
abstract:
- lang: eng
text: "A finite classical polar space of rank $n$ consists of the totally isotropic\r\nsubspaces
of a finite vector space over $\\mathbb{F}_q$ equipped with a\r\nnondegenerate
form such that $n$ is the maximal dimension of such a subspace. A\r\n$t$-$(n,k,\\lambda)$
design in a finite classical polar space of rank $n$ is a\r\ncollection $Y$ of
totally isotropic $k$-spaces such that each totally isotropic\r\n$t$-space is
contained in exactly $\\lambda$ members of $Y$. Nontrivial examples\r\nare currently
only known for $t\\leq 2$. We show that $t$-$(n,k,\\lambda)$\r\ndesigns in polar
spaces exist for all $t$ and $q$ provided that\r\n$k>\\frac{21}{2}t$ and $n$ is
sufficiently large enough. The proof is based on a\r\nprobabilistic method by
Kuperberg, Lovett, and Peled, and it is thus\r\nnonconstructive."
author:
- first_name: Charlene
full_name: Weiß, Charlene
id: '70420'
last_name: Weiß
citation:
ama: Weiß C. Nontrivial $t$-designs in polar spaces exist for all $t$. Des Codes
Cryptogr. 2025;93:971-981. doi:10.1007/s10623-024-01471-1
apa: Weiß, C. (2025). Nontrivial $t$-designs in polar spaces exist for all $t$.
Des. Codes Cryptogr., 93, 971–981. https://doi.org/10.1007/s10623-024-01471-1
bibtex: '@article{Weiß_2025, title={Nontrivial $t$-designs in polar spaces exist
for all $t$}, volume={93}, DOI={10.1007/s10623-024-01471-1},
journal={Des. Codes Cryptogr.}, author={Weiß, Charlene}, year={2025}, pages={971–981}
}'
chicago: 'Weiß, Charlene. “Nontrivial $t$-Designs in Polar Spaces Exist for All
$t$.” Des. Codes Cryptogr. 93 (2025): 971–81. https://doi.org/10.1007/s10623-024-01471-1.'
ieee: 'C. Weiß, “Nontrivial $t$-designs in polar spaces exist for all $t$,” Des.
Codes Cryptogr., vol. 93, pp. 971–981, 2025, doi: 10.1007/s10623-024-01471-1.'
mla: Weiß, Charlene. “Nontrivial $t$-Designs in Polar Spaces Exist for All $t$.”
Des. Codes Cryptogr., vol. 93, 2025, pp. 971–81, doi:10.1007/s10623-024-01471-1.
short: C. Weiß, Des. Codes Cryptogr. 93 (2025) 971–981.
date_created: 2024-01-08T14:39:54Z
date_updated: 2026-02-25T13:51:50Z
department:
- _id: '100'
doi: 10.1007/s10623-024-01471-1
intvolume: ' 93'
language:
- iso: eng
page: 971 - 981
publication: Des. Codes Cryptogr.
publication_status: published
status: public
title: Nontrivial $t$-designs in polar spaces exist for all $t$
type: journal_article
user_id: '70420'
volume: 93
year: '2025'
...
---
_id: '59258'
article_number: '44'
author:
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Winkler M. Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity
with Temperature-Dependent Parameters. Applied Mathematics & Optimization.
2025;91(2). doi:10.1007/s00245-025-10243-9
apa: Winkler, M. (2025). Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity
with Temperature-Dependent Parameters. Applied Mathematics & Optimization,
91(2), Article 44. https://doi.org/10.1007/s00245-025-10243-9
bibtex: '@article{Winkler_2025, title={Rough Data in an Evolution System Generalizing
1D Thermoviscoelasticity with Temperature-Dependent Parameters}, volume={91},
DOI={10.1007/s00245-025-10243-9},
number={244}, journal={Applied Mathematics & Optimization}, publisher={Springer
Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }'
chicago: Winkler, Michael. “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity
with Temperature-Dependent Parameters.” Applied Mathematics & Optimization
91, no. 2 (2025). https://doi.org/10.1007/s00245-025-10243-9.
ieee: 'M. Winkler, “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity
with Temperature-Dependent Parameters,” Applied Mathematics & Optimization,
vol. 91, no. 2, Art. no. 44, 2025, doi: 10.1007/s00245-025-10243-9.'
mla: Winkler, Michael. “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity
with Temperature-Dependent Parameters.” Applied Mathematics & Optimization,
vol. 91, no. 2, 44, Springer Science and Business Media LLC, 2025, doi:10.1007/s00245-025-10243-9.
short: M. Winkler, Applied Mathematics & Optimization 91 (2025).
date_created: 2025-04-02T11:23:25Z
date_updated: 2026-02-26T15:59:30Z
department:
- _id: '90'
doi: 10.1007/s00245-025-10243-9
intvolume: ' 91'
issue: '2'
language:
- iso: eng
project:
- _id: '245'
name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
für Leistungsschallanwendungen (NEPTUN)'
publication: Applied Mathematics & Optimization
publication_identifier:
issn:
- 0095-4616
- 1432-0606
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with
Temperature-Dependent Parameters
type: journal_article
user_id: '11829'
volume: 91
year: '2025'
...
---
_id: '64736'
citation:
ama: Frahm J, Glöckner H, Hilgert J, Olafsson G, eds. Special Issue of Journal
of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday.
Vol 35.; 2025.
apa: Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the
occasion of his 60th birthday. (2025). In J. Frahm, H. Glöckner, J. Hilgert, &
G. Olafsson (Eds.), J. Lie Theory (Vol. 35, Issue 4).
bibtex: '@book{Frahm_Glöckner_Hilgert_Olafsson_2025, title={Special issue of Journal
of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his 60th birthday},
volume={35}, number={4}, journal={J. Lie Theory}, year={2025} }'
chicago: Frahm, Jan, Helge Glöckner, Joachim Hilgert, and Gestur Olafsson, eds.
Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the
Occasion of His 60th Birthday. J. Lie Theory. Vol. 35, 2025.
ieee: J. Frahm, H. Glöckner, J. Hilgert, and G. Olafsson, Eds., Special issue
of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his
60th birthday, vol. 35, no. 4. 2025.
mla: Frahm, Jan, et al., editors. “Special Issue of Journal of Lie Theory Dedicated
to Karl-Hermann Neeb on the Occasion of His 60th Birthday.” J. Lie Theory,
vol. 35, no. 4, 2025.
short: J. Frahm, H. Glöckner, J. Hilgert, G. Olafsson, eds., Special Issue of Journal
of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday,
2025.
date_created: 2026-02-26T17:42:01Z
date_updated: 2026-02-26T17:51:43Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
editor:
- first_name: Jan
full_name: Frahm, Jan
last_name: Frahm
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: Gestur
full_name: Olafsson, Gestur
last_name: Olafsson
intvolume: ' 35'
issue: '4'
language:
- iso: eng
publication: J. Lie Theory
quality_controlled: '1'
status: public
title: Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the
occasion of his 60th birthday
type: journal_editor
user_id: '178'
volume: 35
year: '2025'
...
---
_id: '64770'
author:
- first_name: Matthieu
full_name: Pinaud, Matthieu
last_name: Pinaud
citation:
ama: Pinaud M. Manifold of Mappings and Regularity Properties of Half-Lie Groups.;
2025. doi:10.17619/UNIPB/1-2211
apa: Pinaud, M. (2025). Manifold of mappings and regularity properties of half-Lie
groups. https://doi.org/10.17619/UNIPB/1-2211
bibtex: '@book{Pinaud_2025, title={Manifold of mappings and regularity properties
of half-Lie groups}, DOI={10.17619/UNIPB/1-2211},
author={Pinaud, Matthieu}, year={2025} }'
chicago: Pinaud, Matthieu. Manifold of Mappings and Regularity Properties of
Half-Lie Groups, 2025. https://doi.org/10.17619/UNIPB/1-2211.
ieee: M. Pinaud, Manifold of mappings and regularity properties of half-Lie groups.
2025.
mla: Pinaud, Matthieu. Manifold of Mappings and Regularity Properties of Half-Lie
Groups. 2025, doi:10.17619/UNIPB/1-2211.
short: M. Pinaud, Manifold of Mappings and Regularity Properties of Half-Lie Groups,
2025.
date_created: 2026-02-26T21:58:22Z
date_updated: 2026-02-26T21:58:36Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.17619/UNIPB/1-2211
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://nbn-resolving.org/urn:nbn:de:hbz:466:2-54221
oa: '1'
status: public
supervisor:
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
title: Manifold of mappings and regularity properties of half-Lie groups
type: dissertation
user_id: '178'
year: '2025'
...
---
_id: '59794'
abstract:
- lang: eng
text: The depth of networks plays a crucial role in the effectiveness of deep learning.
However, the memory requirement for backpropagation scales linearly with the number
of layers, which leads to memory bottlenecks during training. Moreover, deep networks
are often unable to handle time-series data appearing at irregular intervals.
These issues can be resolved by considering continuous-depth networks based on
the neural ODE framework in combination with reversible integration methods that
allow for variable time-steps. Reversibility of the method ensures that the memory
requirement for training is independent of network depth, while variable time-steps
are required for assimilating time-series data on irregular intervals. However,
at present, there are no known higher-order reversible methods with this property.
High-order methods are especially important when a high level of accuracy in learning
is required or when small time-steps are necessary due to large errors in time
integration of neural ODEs, for instance in context of complex dynamical systems
such as Kepler systems and molecular dynamics. The requirement of small time-steps
when using a low-order method can significantly increase the computational cost
of training as well as inference. In this work, we present an approach for constructing
high-order reversible methods that allow adaptive time-stepping. Our numerical
tests show the advantages in computational speed when applied to the task of learning
dynamical systems.
author:
- first_name: Sofya
full_name: Maslovskaya, Sofya
id: '87909'
last_name: Maslovskaya
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: 0000-0002-5940-8057
- first_name: Pranav
full_name: Singh, Pranav
last_name: Singh
- first_name: Boris Edgar
full_name: Wembe Moafo, Boris Edgar
id: '95394'
last_name: Wembe Moafo
citation:
ama: Maslovskaya S, Ober-Blöbaum S, Offen C, Singh P, Wembe Moafo BE. Adaptive higher
order reversible integrators for memory efficient deep learning. Published online
2025.
apa: Maslovskaya, S., Ober-Blöbaum, S., Offen, C., Singh, P., & Wembe Moafo,
B. E. (2025). Adaptive higher order reversible integrators for memory efficient
deep learning.
bibtex: '@article{Maslovskaya_Ober-Blöbaum_Offen_Singh_Wembe Moafo_2025, title={Adaptive
higher order reversible integrators for memory efficient deep learning}, author={Maslovskaya,
Sofya and Ober-Blöbaum, Sina and Offen, Christian and Singh, Pranav and Wembe
Moafo, Boris Edgar}, year={2025} }'
chicago: Maslovskaya, Sofya, Sina Ober-Blöbaum, Christian Offen, Pranav Singh, and
Boris Edgar Wembe Moafo. “Adaptive Higher Order Reversible Integrators for Memory
Efficient Deep Learning,” 2025.
ieee: S. Maslovskaya, S. Ober-Blöbaum, C. Offen, P. Singh, and B. E. Wembe Moafo,
“Adaptive higher order reversible integrators for memory efficient deep learning.”
2025.
mla: Maslovskaya, Sofya, et al. Adaptive Higher Order Reversible Integrators
for Memory Efficient Deep Learning. 2025.
short: S. Maslovskaya, S. Ober-Blöbaum, C. Offen, P. Singh, B.E. Wembe Moafo, (2025).
date_created: 2025-05-05T09:25:28Z
date_updated: 2025-09-30T15:16:09Z
ddc:
- '510'
department:
- _id: '636'
external_id:
arxiv:
- '2410.09537'
file:
- access_level: closed
content_type: application/pdf
creator: sofyam
date_created: 2025-05-05T09:28:02Z
date_updated: 2025-05-05T09:28:02Z
file_id: '59795'
file_name: 2410.09537v2.pdf
file_size: 1830758
relation: main_file
success: 1
file_date_updated: 2025-05-05T09:28:02Z
has_accepted_license: '1'
language:
- iso: eng
status: public
title: Adaptive higher order reversible integrators for memory efficient deep learning
type: preprint
user_id: '85279'
year: '2025'
...
---
_id: '61518'
abstract:
- lang: eng
text: "Abstract\r\n Teacher professional
development (TPD) is a crucial support mechanism for mathematics teachers. Strategies
for implementing TPD include disseminating educative curriculum materials or conducting
TPD courses. However, it remains unclear whether different implementations of
the same TPD support mathematics teachers in distinct ways. This study investigated
two implementations of the TPD EmMa-FS which focuses
early mathematics education (EME) for German vocational school (VS) teachers who
instruct prospective early childhood (EC) educators. One group of teachers received
an in-person TPD course along with educative curriculum materials (n\r\n
\ \r\n PM\r\n = 26),
whereas the other received only the educative curriculum materials (n\r\n
\ \r\n M\r\n = 15).
The effects on VS teachers’ beliefs and knowledge concerning EME were examined
using a t-test and repeated measures ANOVA. To assess
how teachers in the different implementation groups made use of the TPD in their
lesson planning, participants submitted hypothetical lesson sequences on early
numeracy, which were analysed for instructional quality, covered content, and
the visible implementation of the provided educative curriculum materials using
qualitative content analysis. The results indicated that both TPD implementations
positively affected VS teachers’ knowledge related to EME but not their beliefs.
While the instructional quality of the lesson sequences varied across both groups,
participants who received the TPD course appeared to use the educative curriculum
materials more often and to cover more content."
article_number: '8'
author:
- first_name: Alix
full_name: Richter, Alix
id: '93186'
last_name: Richter
- first_name: Julia
full_name: Bruns, Julia
id: '72183'
last_name: Bruns
orcid: https://orcid.org/0000-0002-6604-5864
- first_name: Hedwig
full_name: Gasteiger, Hedwig
last_name: Gasteiger
citation:
ama: 'Richter A, Bruns J, Gasteiger H. Interaction- or Material-Centred Implementation
of Teacher Professional Development: a Comparison of Teachers’ Competence Development
and Potential Lesson Planning Lehrkräftefortbildung interaktions- oder materialzentriert
implementieren: Ein Vergleich hinsichtlich der Kompetenzentwicklung sowie der
potentiellen Unterrichtsplanung von Lehrkräften. Journal für Mathematik-Didaktik.
2025;46(1). doi:10.1007/s13138-025-00259-7'
apa: 'Richter, A., Bruns, J., & Gasteiger, H. (2025). Interaction- or Material-Centred
Implementation of Teacher Professional Development: a Comparison of Teachers’
Competence Development and Potential Lesson Planning Lehrkräftefortbildung interaktions-
oder materialzentriert implementieren: Ein Vergleich hinsichtlich der Kompetenzentwicklung
sowie der potentiellen Unterrichtsplanung von Lehrkräften. Journal Für Mathematik-Didaktik,
46(1), Article 8. https://doi.org/10.1007/s13138-025-00259-7'
bibtex: '@article{Richter_Bruns_Gasteiger_2025, title={Interaction- or Material-Centred
Implementation of Teacher Professional Development: a Comparison of Teachers’
Competence Development and Potential Lesson Planning Lehrkräftefortbildung interaktions-
oder materialzentriert implementieren: Ein Vergleich hinsichtlich der Kompetenzentwicklung
sowie der potentiellen Unterrichtsplanung von Lehrkräften}, volume={46}, DOI={10.1007/s13138-025-00259-7},
number={18}, journal={Journal für Mathematik-Didaktik}, publisher={Springer Science
and Business Media LLC}, author={Richter, Alix and Bruns, Julia and Gasteiger,
Hedwig}, year={2025} }'
chicago: 'Richter, Alix, Julia Bruns, and Hedwig Gasteiger. “Interaction- or Material-Centred
Implementation of Teacher Professional Development: A Comparison of Teachers’
Competence Development and Potential Lesson Planning Lehrkräftefortbildung Interaktions-
Oder Materialzentriert Implementieren: Ein Vergleich Hinsichtlich Der Kompetenzentwicklung
Sowie Der Potentiellen Unterrichtsplanung von Lehrkräften.” Journal Für Mathematik-Didaktik
46, no. 1 (2025). https://doi.org/10.1007/s13138-025-00259-7.'
ieee: 'A. Richter, J. Bruns, and H. Gasteiger, “Interaction- or Material-Centred
Implementation of Teacher Professional Development: a Comparison of Teachers’
Competence Development and Potential Lesson Planning Lehrkräftefortbildung interaktions-
oder materialzentriert implementieren: Ein Vergleich hinsichtlich der Kompetenzentwicklung
sowie der potentiellen Unterrichtsplanung von Lehrkräften,” Journal für Mathematik-Didaktik,
vol. 46, no. 1, Art. no. 8, 2025, doi: 10.1007/s13138-025-00259-7.'
mla: 'Richter, Alix, et al. “Interaction- or Material-Centred Implementation of
Teacher Professional Development: A Comparison of Teachers’ Competence Development
and Potential Lesson Planning Lehrkräftefortbildung Interaktions- Oder Materialzentriert
Implementieren: Ein Vergleich Hinsichtlich Der Kompetenzentwicklung Sowie Der
Potentiellen Unterrichtsplanung von Lehrkräften.” Journal Für Mathematik-Didaktik,
vol. 46, no. 1, 8, Springer Science and Business Media LLC, 2025, doi:10.1007/s13138-025-00259-7.'
short: A. Richter, J. Bruns, H. Gasteiger, Journal Für Mathematik-Didaktik 46 (2025).
date_created: 2025-10-05T17:55:20Z
date_updated: 2025-10-05T17:55:53Z
department:
- _id: '611'
doi: 10.1007/s13138-025-00259-7
intvolume: ' 46'
issue: '1'
language:
- iso: eng
publication: Journal für Mathematik-Didaktik
publication_identifier:
issn:
- 0173-5322
- 1869-2699
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: 'Interaction- or Material-Centred Implementation of Teacher Professional Development:
a Comparison of Teachers’ Competence Development and Potential Lesson Planning Lehrkräftefortbildung
interaktions- oder materialzentriert implementieren: Ein Vergleich hinsichtlich
der Kompetenzentwicklung sowie der potentiellen Unterrichtsplanung von Lehrkräften'
type: journal_article
user_id: '72183'
volume: 46
year: '2025'
...
---
_id: '61519'
abstract:
- lang: eng
text: ' Zusammenfassung: Frühe mathematische Bildung, die ihren Ausgangspunkt
in den (Spiel-)Situationen der Kindertagesstätte nimmt, kann breite mathematische
Erfahrungen ermöglichen, wenn die (Spiel-)Situationen entsprechende Möglichkeiten
bieten. Erste Studien weisen darauf hin, dass in diesen Situationen verschiedene
mathematische Inhalte angesprochen werden können. Allerdings konzentrieren sich
bisherige Studien auf ausgewählte Kontexte oder Inhaltsbereiche. Diese Studie
zielt daher auf eine vertiefte Analyse der Gelegenheiten für mathematische Erfahrungen,
die in verschiedenen (Spiel-)Situationen im Alltag der Kindertagesstätte entstehen
können. Dazu wurde eine videobasierte Beobachtungsstudie mittels einer Action-Kamera
in einer Kindertagesstätte durchgeführt. Die Ergebnisse zeigen, dass eine Vielfalt
von mathematischen Inhalten in (Spiel-)Situationen in der Kindertagesstätte beobachtet
werden kann, einzelne Inhalte jedoch nur in formellen Lernsituationen auftreten.
'
alternative_title:
- Analyse von Gelegenheiten zur frühen mathematischen Bildung im Alltag einer Kindertagesstätte
author:
- first_name: Julia
full_name: Bruns, Julia
id: '72183'
last_name: Bruns
orcid: https://orcid.org/0000-0002-6604-5864
- first_name: Tessa
full_name: Mette, Tessa
last_name: Mette
citation:
ama: Bruns J, Mette T. Mathematik mit Kindern ausgehend von Spiel- und Routinesituationen
in der Kindertagesstätte erkunden? Frühe Bildung. 2025;14(4):193-200. doi:10.1026/2191-9186/a000730
apa: Bruns, J., & Mette, T. (2025). Mathematik mit Kindern ausgehend von Spiel-
und Routinesituationen in der Kindertagesstätte erkunden? Frühe Bildung,
14(4), 193–200. https://doi.org/10.1026/2191-9186/a000730
bibtex: '@article{Bruns_Mette_2025, title={Mathematik mit Kindern ausgehend von
Spiel- und Routinesituationen in der Kindertagesstätte erkunden?}, volume={14},
DOI={10.1026/2191-9186/a000730},
number={4}, journal={Frühe Bildung}, publisher={Hogrefe Publishing Group}, author={Bruns,
Julia and Mette, Tessa}, year={2025}, pages={193–200} }'
chicago: 'Bruns, Julia, and Tessa Mette. “Mathematik mit Kindern ausgehend von Spiel-
und Routinesituationen in der Kindertagesstätte erkunden?” Frühe Bildung
14, no. 4 (2025): 193–200. https://doi.org/10.1026/2191-9186/a000730.'
ieee: 'J. Bruns and T. Mette, “Mathematik mit Kindern ausgehend von Spiel- und Routinesituationen
in der Kindertagesstätte erkunden?,” Frühe Bildung, vol. 14, no. 4, pp.
193–200, 2025, doi: 10.1026/2191-9186/a000730.'
mla: Bruns, Julia, and Tessa Mette. “Mathematik mit Kindern ausgehend von Spiel-
und Routinesituationen in der Kindertagesstätte erkunden?” Frühe Bildung,
vol. 14, no. 4, Hogrefe Publishing Group, 2025, pp. 193–200, doi:10.1026/2191-9186/a000730.
short: J. Bruns, T. Mette, Frühe Bildung 14 (2025) 193–200.
date_created: 2025-10-05T17:56:06Z
date_updated: 2025-10-05T17:56:50Z
department:
- _id: '611'
doi: 10.1026/2191-9186/a000730
intvolume: ' 14'
issue: '4'
language:
- iso: ger
page: 193-200
publication: Frühe Bildung
publication_identifier:
issn:
- 2191-9186
- 2191-9194
publication_status: published
publisher: Hogrefe Publishing Group
status: public
title: Mathematik mit Kindern ausgehend von Spiel- und Routinesituationen in der Kindertagesstätte
erkunden?
type: journal_article
user_id: '72183'
volume: 14
year: '2025'
...
---
_id: '57472'
abstract:
- lang: eng
text: In this paper we introduce, in a Hilbert space setting, a second order dynamical
system with asymptotically vanishing damping and vanishing Tikhonov regularization
that approaches a multiobjective optimization problem with convex and differentiable
components of the objective function. Trajectory solutions are shown to exist
in finite dimensions. We prove fast convergence of the function values, quantified
in terms of a merit function. Based on the regime considered, we establish both
weak and, in some cases, strong convergence of trajectory solutions toward a weak
Pareto optimal solution. To achieve this, we apply Tikhonov regularization individually
to each component of the objective function. This work extends results from single
objective convex optimization into the multiobjective setting.
author:
- first_name: Radu Ioan
full_name: Bot, Radu Ioan
last_name: Bot
- first_name: Konstantin
full_name: Sonntag, Konstantin
id: '56399'
last_name: Sonntag
orcid: https://orcid.org/0000-0003-3384-3496
citation:
ama: Bot RI, Sonntag K. Inertial dynamics with vanishing Tikhonov regularization
for multobjective optimization. Journal of Mathematical Analysis and Applications.
Published online 2025.
apa: Bot, R. I., & Sonntag, K. (2025). Inertial dynamics with vanishing Tikhonov
regularization for multobjective optimization. Journal of Mathematical Analysis
and Applications.
bibtex: '@article{Bot_Sonntag_2025, title={Inertial dynamics with vanishing Tikhonov
regularization for multobjective optimization}, journal={Journal of Mathematical
Analysis and Applications}, author={Bot, Radu Ioan and Sonntag, Konstantin}, year={2025}
}'
chicago: Bot, Radu Ioan, and Konstantin Sonntag. “Inertial Dynamics with Vanishing
Tikhonov Regularization for Multobjective Optimization.” Journal of Mathematical
Analysis and Applications, 2025.
ieee: R. I. Bot and K. Sonntag, “Inertial dynamics with vanishing Tikhonov regularization
for multobjective optimization,” Journal of Mathematical Analysis and Applications,
2025.
mla: Bot, Radu Ioan, and Konstantin Sonntag. “Inertial Dynamics with Vanishing Tikhonov
Regularization for Multobjective Optimization.” Journal of Mathematical Analysis
and Applications, 2025.
short: R.I. Bot, K. Sonntag, Journal of Mathematical Analysis and Applications (2025).
date_created: 2024-11-28T08:58:17Z
date_updated: 2025-10-16T11:56:36Z
ddc:
- '510'
department:
- _id: '101'
- _id: '530'
- _id: '655'
external_id:
arxiv:
- '2411.18422'
file:
- access_level: open_access
content_type: application/pdf
creator: sonntagk
date_created: 2024-11-28T08:58:00Z
date_updated: 2024-11-28T08:58:00Z
file_id: '57473'
file_name: Inertial dynamics with vanishing Tikhonov regularization for multobjective
optimization.pdf
file_size: 4291134
relation: main_file
file_date_updated: 2024-11-28T08:58:00Z
has_accepted_license: '1'
keyword:
- Pareto optimization
- Lyapunov analysis
- gradient-like dynamical systems
- inertial dynamics
- asymptotic vanishing damping
- Tikhonov regularization
- strong convergence
language:
- iso: eng
main_file_link:
- url: https://arxiv.org/pdf/2411.18422
oa: '1'
publication: Journal of Mathematical Analysis and Applications
status: public
title: Inertial dynamics with vanishing Tikhonov regularization for multobjective
optimization
type: journal_article
user_id: '56399'
year: '2025'
...
---
_id: '62283'
author:
- first_name: Sebastian
full_name: Rezat, Sebastian
id: '31132'
last_name: Rezat
- first_name: Nadja
full_name: Doligkeit, Nadja
last_name: Doligkeit
citation:
ama: 'Rezat S, Doligkeit N. Zahlenmuster und Brüche: Eine Lernumgebung zum algebraischen
Denken. mathematik lehren. 2025;(252):16–22.'
apa: 'Rezat, S., & Doligkeit, N. (2025). Zahlenmuster und Brüche: Eine Lernumgebung
zum algebraischen Denken. mathematik lehren, 252, 16–22.'
bibtex: '@article{Rezat_Doligkeit_2025, title={Zahlenmuster und Brüche: Eine Lernumgebung
zum algebraischen Denken}, number={252}, journal={mathematik lehren}, author={Rezat,
Sebastian and Doligkeit, Nadja}, year={2025}, pages={16–22} }'
chicago: 'Rezat, Sebastian, and Nadja Doligkeit. “Zahlenmuster und Brüche: Eine
Lernumgebung zum algebraischen Denken.” mathematik lehren, no. 252 (2025):
16–22.'
ieee: 'S. Rezat and N. Doligkeit, “Zahlenmuster und Brüche: Eine Lernumgebung zum
algebraischen Denken,” mathematik lehren, no. 252, pp. 16–22, 2025.'
mla: 'Rezat, Sebastian, and Nadja Doligkeit. “Zahlenmuster und Brüche: Eine Lernumgebung
zum algebraischen Denken.” mathematik lehren, no. 252, 2025, pp. 16–22.'
short: S. Rezat, N. Doligkeit, mathematik lehren (2025) 16–22.
date_created: 2025-11-21T16:25:49Z
date_updated: 2025-11-21T16:26:27Z
department:
- _id: '360'
issue: '252'
language:
- iso: ger
page: 16–22
publication: mathematik lehren
publication_status: published
status: public
title: 'Zahlenmuster und Brüche: Eine Lernumgebung zum algebraischen Denken'
type: journal_article
user_id: '31132'
year: '2025'
...
---
_id: '62645'
author:
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
orcid: 0000-0001-6278-4240
- first_name: Marcus
full_name: Nührenbörger, Marcus
last_name: Nührenbörger
citation:
ama: 'Häsel-Weide U, Nührenbörger M. Mathematik (Primarstufe) in der Lehrerinnen-
und Lehrerbildung. Qualifizierung für das Lehren von Mathematik in der Grundschule.
In: Cramer C, König J, Rothland M, eds. Handbuch Lehrerinnen- und Lehrerbildung.
2nd ed. Klinkhardt; 2025:549-555. doi:10.35468/hblb2025-070'
apa: Häsel-Weide, U., & Nührenbörger, M. (2025). Mathematik (Primarstufe) in
der Lehrerinnen- und Lehrerbildung. Qualifizierung für das Lehren von Mathematik
in der Grundschule. In C. Cramer, J. König, & M. Rothland (Eds.), Handbuch
Lehrerinnen- und Lehrerbildung (2nd ed., pp. 549–555). Klinkhardt. https://doi.org/10.35468/hblb2025-070
bibtex: '@inbook{Häsel-Weide_Nührenbörger_2025, edition={2}, title={ Mathematik
(Primarstufe) in der Lehrerinnen- und Lehrerbildung. Qualifizierung für das Lehren
von Mathematik in der Grundschule}, DOI={10.35468/hblb2025-070},
booktitle={Handbuch Lehrerinnen- und Lehrerbildung}, publisher={Klinkhardt}, author={Häsel-Weide,
Uta and Nührenbörger, Marcus}, editor={Cramer, C. and König, J. and Rothland,
M.}, year={2025}, pages={549–555} }'
chicago: Häsel-Weide, Uta, and Marcus Nührenbörger. “ Mathematik (Primarstufe) in
der Lehrerinnen- und Lehrerbildung. Qualifizierung für das Lehren von Mathematik
in der Grundschule.” In Handbuch Lehrerinnen- und Lehrerbildung, edited
by C. Cramer, J. König, and M. Rothland, 2nd ed., 549–55. Klinkhardt, 2025. https://doi.org/10.35468/hblb2025-070.
ieee: U. Häsel-Weide and M. Nührenbörger, “ Mathematik (Primarstufe) in der Lehrerinnen-
und Lehrerbildung. Qualifizierung für das Lehren von Mathematik in der Grundschule,”
in Handbuch Lehrerinnen- und Lehrerbildung, 2nd ed., C. Cramer, J. König,
and M. Rothland, Eds. Klinkhardt, 2025, pp. 549–555.
mla: Häsel-Weide, Uta, and Marcus Nührenbörger. “ Mathematik (Primarstufe) in der
Lehrerinnen- und Lehrerbildung. Qualifizierung für das Lehren von Mathematik in
der Grundschule.” Handbuch Lehrerinnen- und Lehrerbildung, edited by C.
Cramer et al., 2nd ed., Klinkhardt, 2025, pp. 549–55, doi:10.35468/hblb2025-070.
short: 'U. Häsel-Weide, M. Nührenbörger, in: C. Cramer, J. König, M. Rothland (Eds.),
Handbuch Lehrerinnen- und Lehrerbildung, 2nd ed., Klinkhardt, 2025, pp. 549–555.'
date_created: 2025-11-27T10:53:30Z
date_updated: 2025-11-27T10:53:52Z
department:
- _id: '543'
doi: 10.35468/hblb2025-070
edition: '2'
editor:
- first_name: C.
full_name: Cramer, C.
last_name: Cramer
- first_name: J.
full_name: König, J.
last_name: König
- first_name: M.
full_name: Rothland, M.
last_name: Rothland
language:
- iso: ger
page: 549-555
publication: Handbuch Lehrerinnen- und Lehrerbildung
publisher: Klinkhardt
status: public
title: ' Mathematik (Primarstufe) in der Lehrerinnen- und Lehrerbildung. Qualifizierung
für das Lehren von Mathematik in der Grundschule'
type: book_chapter
user_id: '44184'
year: '2025'
...
---
_id: '62750'
abstract:
- lang: eng
text: 'Diese Dissertation enthält Beiträge zum Bereich der Mehrzieloptimierung mit
einem Fokus auf unbeschränkten Problemen, die auf einem allgemeinen Hilbertraum
definiert sind. Für Mehrzieloptimierungsprobleme mit lokal Lipschitz-stetigen
Zielfunktionen definieren wir ein multikriterielles Subdifferential, das wir erstmals
im Kontext allgemeiner Hilberträume analysieren. Aufbauend auf diesen theoretischen
Untersuchungen präsentieren wir ein Abstiegsverfahren, bei welchem in jeder Iteration
eine Abstiegsrichtung mittels einer numerischen Approximation des multikriteriellen
Subdifferentials bestimmt wird. Im Kontext konvexer, stetig differenzierbarer
Zielfunktionen mit Lipschitz-stetigen Gradienten, führen wir eine Familie von
dynamischen Gradientensystemen mit Trägheitsterm ein, die bekannte kontinuierliche
Systeme aus der skalaren Optimierung verallgemeinern. Wir stellen drei neue Systeme
vor: eines mit konstanter Dämpfung, eines mit asymptotisch abnehmender Dämpfung
und eines, das zusätzlich eine zeitabhängige Tikhonov-Regularisierung beinhaltet.
Aufbauend auf den Untersuchungen der neuen dynamischen Gradientensysteme, entwickeln
wir ein beschleunigtes Gradientenverfahren zur Mehrzieloptimierung, das auf einer
Diskretisierung des multikriteriellen Gradientensystems mit asymptotisch abnehmender
Dämpfung beruht. Das hergeleitete Verfahren bewahrt die günstigen Konvergenzeigenschaften
des kontinuierlichen Systems und erreicht eine schnellere Konvergenz als klassische
Verfahren.'
- lang: eng
text: 'This dissertation contributes to the field of multiobjective optimization,
with a focus on unconstrained problems formulated in a general Hilbert space.
For multiobjective optimization problems with locally Lipschitz continuous objective
functions, we define a multiobjective subdifferential, which we analyze for the
first time in the context of general Hilbert spaces. Building on these theoretical
investigations, we present a descent method in which, at each iteration, a descent
direction is determined via a numerical approximation of the multiobjective subdifferential.
In the setting of convex, continuously differentiable objective functions with
Lipschitz continuous gradients, we introduce a family of inertial gradient dynamical
systems that generalize well-known continuous-time systems from scalar optimization.
We present three novel systems: one with constant damping, one with asymptotic
vanishing damping, and one combining vanishing damping with time-dependent Tikhonov
regularization. Building on the investigation of the novel gradient dynamical
systems, we develop an accelerated gradient method for multiobjective optimization
via discretization of the multiobjective gradient system with asymptotic vanishing
damping. The proposed method retains the favorable convergence properties of the
continuous system while achieving faster convergence than standard approaches,
such as classical methods.'
author:
- first_name: Konstantin
full_name: Sonntag, Konstantin
id: '56399'
last_name: Sonntag
orcid: https://orcid.org/0000-0003-3384-3496
citation:
ama: Sonntag K. First-Order Methods and Gradient Dynamical Systems for Multiobjective
Optimization. Paderborn University; 2025. doi:10.17619/UNIPB/1-2457
apa: Sonntag, K. (2025). First-order methods and gradient dynamical systems for
multiobjective optimization. Paderborn University. https://doi.org/10.17619/UNIPB/1-2457
bibtex: '@book{Sonntag_2025, title={First-order methods and gradient dynamical systems
for multiobjective optimization}, DOI={10.17619/UNIPB/1-2457},
publisher={Paderborn University}, author={Sonntag, Konstantin}, year={2025} }'
chicago: Sonntag, Konstantin. First-Order Methods and Gradient Dynamical Systems
for Multiobjective Optimization. Paderborn University, 2025. https://doi.org/10.17619/UNIPB/1-2457.
ieee: K. Sonntag, First-order methods and gradient dynamical systems for multiobjective
optimization. Paderborn University, 2025.
mla: Sonntag, Konstantin. First-Order Methods and Gradient Dynamical Systems
for Multiobjective Optimization. Paderborn University, 2025, doi:10.17619/UNIPB/1-2457.
short: K. Sonntag, First-Order Methods and Gradient Dynamical Systems for Multiobjective
Optimization, Paderborn University, 2025.
date_created: 2025-12-03T06:55:01Z
date_updated: 2025-12-03T07:04:36Z
ddc:
- '510'
department:
- _id: '101'
- _id: '530'
doi: 10.17619/UNIPB/1-2457
has_accepted_license: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://digital.ub.uni-paderborn.de/hs/download/pdf/8141881
oa: '1'
publisher: Paderborn University
status: public
supervisor:
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
title: First-order methods and gradient dynamical systems for multiobjective optimization
type: dissertation
user_id: '56399'
year: '2025'
...