---
_id: '65742'
abstract:
- lang: eng
text: "Abstract\r\n In this work,
we address the numerical identification of entanglement in dynamical scenarios.
To this end, we consider different programs based on the restriction of the evolution
to the set of separable (i.e., non-entangled) states, together with the discretization
of the space of variables for numerical computations. As a first approach, we
apply linear splitting methods to the restricted, continuous equations of motion
derived from variational principles. We utilize an exchange interaction Hamiltonian
to confirm that the numerical and analytical solutions coincide in the limit of
small time steps. The application to different Hamiltonians shows the wide applicability
of the method to detect dynamical entanglement. To avoid the derivation of analytical
solutions for complex dynamics, we consider variational, numerical integration
schemes, introducing a variational discretization for Lagrangians linear in velocities.
Here, we examine and compare two approaches: one in which the system is discretized
before the restriction is applied, and another in which the restriction precedes
the discretization. We find that the \"first-discretize-then-restrict\" method
becomes numerically unstable, already for the example of an exchange-interaction
Hamiltonian, which can be an important consideration for the numerical analysis
of constrained quantum dynamics. Thereby, broadly applicable numerical tools,
including their limitations, for studying entanglement over time are established
for assessing the entangling power of processes that are used in quantum information
theory."
author:
- first_name: Christian
full_name: Offen, Christian
last_name: Offen
- first_name: Boris
full_name: Wembe, Boris
last_name: Wembe
- first_name: Laura
full_name: Ares, Laura
last_name: Ares
- first_name: Jan
full_name: Sperling, Jan
last_name: Sperling
- first_name: Sina
full_name: Ober-Blöbaum, Sina
last_name: Ober-Blöbaum
citation:
ama: 'Offen C, Wembe B, Ares L, Sperling J, Ober-Blöbaum S. Numerical approaches
to entangling dynamics from variational principles. Journal of Physics A: Mathematical
and Theoretical. Published online 2026. doi:10.1088/1751-8121/ae6d51'
apa: 'Offen, C., Wembe, B., Ares, L., Sperling, J., & Ober-Blöbaum, S. (2026).
Numerical approaches to entangling dynamics from variational principles. Journal
of Physics A: Mathematical and Theoretical. https://doi.org/10.1088/1751-8121/ae6d51'
bibtex: '@article{Offen_Wembe_Ares_Sperling_Ober-Blöbaum_2026, title={Numerical
approaches to entangling dynamics from variational principles}, DOI={10.1088/1751-8121/ae6d51},
journal={Journal of Physics A: Mathematical and Theoretical}, publisher={IOP Publishing},
author={Offen, Christian and Wembe, Boris and Ares, Laura and Sperling, Jan and
Ober-Blöbaum, Sina}, year={2026} }'
chicago: 'Offen, Christian, Boris Wembe, Laura Ares, Jan Sperling, and Sina Ober-Blöbaum.
“Numerical Approaches to Entangling Dynamics from Variational Principles.” Journal
of Physics A: Mathematical and Theoretical, 2026. https://doi.org/10.1088/1751-8121/ae6d51.'
ieee: 'C. Offen, B. Wembe, L. Ares, J. Sperling, and S. Ober-Blöbaum, “Numerical
approaches to entangling dynamics from variational principles,” Journal of
Physics A: Mathematical and Theoretical, 2026, doi: 10.1088/1751-8121/ae6d51.'
mla: 'Offen, Christian, et al. “Numerical Approaches to Entangling Dynamics from
Variational Principles.” Journal of Physics A: Mathematical and Theoretical,
IOP Publishing, 2026, doi:10.1088/1751-8121/ae6d51.'
short: 'C. Offen, B. Wembe, L. Ares, J. Sperling, S. Ober-Blöbaum, Journal of Physics
A: Mathematical and Theoretical (2026).'
date_created: 2026-06-01T09:29:01Z
date_updated: 2026-06-01T09:29:29Z
department:
- _id: '94'
doi: 10.1088/1751-8121/ae6d51
language:
- iso: eng
publication: 'Journal of Physics A: Mathematical and Theoretical'
publication_identifier:
issn:
- 1751-8113
- 1751-8121
publication_status: published
publisher: IOP Publishing
status: public
title: Numerical approaches to entangling dynamics from variational principles
type: journal_article
user_id: '95394'
year: '2026'
...
---
_id: '65746'
abstract:
- lang: eng
text: This paper presents a class of structure-preserving numerical methods for
quantum optimal control problems, based on commutator-free Cayley integrators.
Starting from the Krotov framework, we reformulate the forward and backward propagation
steps using Cayley-type schemes that preserve unitarity and symmetry at the discrete
level. This approach eliminates the need for matrix exponentials and commutators,
leading to significant computational savings while maintaining higher-order accuracy.
We first recall the standard linear setting and then extend the formulation to
nonlinear Schrödinger and Gross-Pitaevskii equations using a Cayley-polynomial
interpolation strategy. Numerical experiments on state-transfer problems illustrate
that the CF-Cayley method achieves the same accuracy as high-order exponential
or Cayley-Magnus schemes at substantially lower cost, especially for longtime
or highly oscillatory dynamics. In the nonlinear regime, the structure-preserving
properties of the method ensure stability and norm conservation, making it a robust
tool for large-scale quantum control simulations. The proposed framework thus
bridges geometric integration and optimal control, offering an efficient and reliable
alternative to existing exponential-based propagators.
author:
- first_name: Boris Edgar
full_name: Wembe Moafo, Boris Edgar
id: '95394'
last_name: Wembe Moafo
orcid: 0000-0002-6085-8071
- first_name: Usman
full_name: Ali, Usman
last_name: Ali
- first_name: Torsten
full_name: Meier, Torsten
id: '344'
last_name: Meier
orcid: 0000-0001-8864-2072
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
citation:
ama: 'Wembe Moafo BE, Ali U, Meier T, Ober-Blöbaum S. Cayley Commutator-free Methods
for Krotov-Type Algorithms in Quantum Optimal Control. In: ; 2026. doi:10.48550/ARXIV.2603.11697'
apa: Wembe Moafo, B. E., Ali, U., Meier, T., & Ober-Blöbaum, S. (2026). Cayley
Commutator-free Methods for Krotov-Type Algorithms in Quantum Optimal Control.
European Control Conference, Reykjavík, Iceland. https://doi.org/10.48550/ARXIV.2603.11697
bibtex: '@inproceedings{Wembe Moafo_Ali_Meier_Ober-Blöbaum_2026, title={Cayley Commutator-free
Methods for Krotov-Type Algorithms in Quantum Optimal Control}, DOI={10.48550/ARXIV.2603.11697},
author={Wembe Moafo, Boris Edgar and Ali, Usman and Meier, Torsten and Ober-Blöbaum,
Sina}, year={2026} }'
chicago: Wembe Moafo, Boris Edgar, Usman Ali, Torsten Meier, and Sina Ober-Blöbaum.
“Cayley Commutator-Free Methods for Krotov-Type Algorithms in Quantum Optimal
Control,” 2026. https://doi.org/10.48550/ARXIV.2603.11697.
ieee: 'B. E. Wembe Moafo, U. Ali, T. Meier, and S. Ober-Blöbaum, “Cayley Commutator-free
Methods for Krotov-Type Algorithms in Quantum Optimal Control,” presented at the
European Control Conference, Reykjavík, Iceland, 2026, doi: 10.48550/ARXIV.2603.11697.'
mla: Wembe Moafo, Boris Edgar, et al. Cayley Commutator-Free Methods for Krotov-Type
Algorithms in Quantum Optimal Control. 2026, doi:10.48550/ARXIV.2603.11697.
short: 'B.E. Wembe Moafo, U. Ali, T. Meier, S. Ober-Blöbaum, in: 2026.'
conference:
end_date: 2026-07-10
location: Reykjavík, Iceland
name: European Control Conference
start_date: 2026-07-07
date_created: 2026-06-01T09:38:06Z
date_updated: 2026-06-01T09:40:38Z
department:
- _id: '94'
doi: 10.48550/ARXIV.2603.11697
language:
- iso: eng
status: public
title: Cayley Commutator-free Methods for Krotov-Type Algorithms in Quantum Optimal
Control
type: conference
user_id: '95394'
year: '2026'
...
---
_id: '65744'
abstract:
- lang: eng
text: 'Optimal control problems with symmetries often admit a non stationary turnpike
property called trim turnpike, which characterizes the convergence of optimal
solutions to certain symmetry induced trajectories called trim primitives. In
this paper we establish an exponential trim turnpike property for a class of optimal
control problems with structural properties related to Abelian Lie group symmetries.
The key ingredient of our approach is the introduction of an appropriate reduced
optimal control problem. We show that extremals of the original problem can be
characterized through a reduced Hamiltonian boundary value problem that coincides
with the optimality system of the reduced problem. Under a hyperbolicity assumption
on the equilibrium of the corresponding reduced Hamiltonian system we prove that
optimal trajectories remain exponentially close, up to boundary layers near the
endpoints, to a trim primitive defined by the static reduced problem. The theoretical
results are illustrated on three representative examples: linear and nonlinear
problems with quadratic cost and the Kepler orbital transfer problem.'
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: Boris Edgar
full_name: Wembe Moafo, Boris Edgar
id: '95394'
last_name: Wembe Moafo
orcid: 0000-0002-6085-8071
citation:
ama: Maslovskaya S, Ober-Blöbaum S, Wembe Moafo BE. Non static exponential turnpike
property for optimal control problems with symmetries and boundary conditions.
apa: Maslovskaya, S., Ober-Blöbaum, S., & Wembe Moafo, B. E. (n.d.). Non
static exponential turnpike property for optimal control problems with symmetries
and boundary conditions.
bibtex: '@article{Maslovskaya_Ober-Blöbaum_Wembe Moafo, title={Non static exponential
turnpike property for optimal control problems with symmetries and boundary conditions},
author={Maslovskaya, Sofya and Ober-Blöbaum, Sina and Wembe Moafo, Boris Edgar}
}'
chicago: Maslovskaya, Sofya, Sina Ober-Blöbaum, and Boris Edgar Wembe Moafo. “Non
Static Exponential Turnpike Property for Optimal Control Problems with Symmetries
and Boundary Conditions,” n.d.
ieee: S. Maslovskaya, S. Ober-Blöbaum, and B. E. Wembe Moafo, “Non static exponential
turnpike property for optimal control problems with symmetries and boundary conditions.”
.
mla: Maslovskaya, Sofya, et al. Non Static Exponential Turnpike Property for
Optimal Control Problems with Symmetries and Boundary Conditions.
short: S. Maslovskaya, S. Ober-Blöbaum, B.E. Wembe Moafo, (n.d.).
date_created: 2026-06-01T09:31:15Z
date_updated: 2026-06-01T09:35:13Z
department:
- _id: '94'
language:
- iso: eng
publication_status: submitted
status: public
title: Non static exponential turnpike property for optimal control problems with
symmetries and boundary conditions
type: preprint
user_id: '95394'
year: '2026'
...
---
_id: '65747'
abstract:
- lang: eng
text: 'In this work, we address the numerical identification of entanglement in
dynamical scenarios. To this end, we consider different programs based on the
restriction of the evolution to the set of separable (i.e., non-entangled) states,
together with the discretization of the space of variables for numerical computations.
As a first approach, we apply linear splitting methods to the restricted, continuous
equations of motion derived from variational principles. We utilize an exchange
interaction Hamiltonian to confirm that the numerical and analytical solutions
coincide in the limit of small time steps. The application to different Hamiltonians
shows the wide applicability of the method to detect dynamical entanglement. To
avoid the derivation of analytical solutions for complex dynamics, we consider
variational, numerical integration schemes, introducing a variational discretization
for Lagrangians linear in velocities. Here, we examine and compare two approaches:
one in which the system is discretized before the restriction is applied, and
another in which the restriction precedes the discretization. We find that the
"first-discretize-then-restrict" method becomes numerically unstable, already
for the example of an exchange-interaction Hamiltonian, which can be an important
consideration for the numerical analysis of constrained quantum dynamics. Thereby,
broadly applicable numerical tools, including their limitations, for studying
entanglement over time are established for assessing the entangling power of processes
that are used in quantum information theory.'
article_type: original
author:
- first_name: Christian
full_name: Offen, Christian
last_name: Offen
- first_name: Boris
full_name: Wembe, Boris
last_name: Wembe
- first_name: Laura
full_name: Ares, Laura
last_name: Ares
- first_name: Jan
full_name: Sperling, Jan
last_name: Sperling
- first_name: Sina
full_name: Ober-Blöbaum, Sina
last_name: Ober-Blöbaum
citation:
ama: 'Offen C, Wembe B, Ares L, Sperling J, Ober-Blöbaum S. Numerical approaches
to entangling dynamics from variational principles. Journal of Physics A: Mathematical
and Theoretical. Published online 2026. doi:10.1088/1751-8121/ae6d51'
apa: 'Offen, C., Wembe, B., Ares, L., Sperling, J., & Ober-Blöbaum, S. (2026).
Numerical approaches to entangling dynamics from variational principles. Journal
of Physics A: Mathematical and Theoretical. https://doi.org/10.1088/1751-8121/ae6d51'
bibtex: '@article{Offen_Wembe_Ares_Sperling_Ober-Blöbaum_2026, title={Numerical
approaches to entangling dynamics from variational principles}, DOI={10.1088/1751-8121/ae6d51},
journal={Journal of Physics A: Mathematical and Theoretical}, publisher={IOP Publishing},
author={Offen, Christian and Wembe, Boris and Ares, Laura and Sperling, Jan and
Ober-Blöbaum, Sina}, year={2026} }'
chicago: 'Offen, Christian, Boris Wembe, Laura Ares, Jan Sperling, and Sina Ober-Blöbaum.
“Numerical Approaches to Entangling Dynamics from Variational Principles.” Journal
of Physics A: Mathematical and Theoretical, 2026. https://doi.org/10.1088/1751-8121/ae6d51.'
ieee: 'C. Offen, B. Wembe, L. Ares, J. Sperling, and S. Ober-Blöbaum, “Numerical
approaches to entangling dynamics from variational principles,” Journal of
Physics A: Mathematical and Theoretical, 2026, doi: 10.1088/1751-8121/ae6d51.'
mla: 'Offen, Christian, et al. “Numerical Approaches to Entangling Dynamics from
Variational Principles.” Journal of Physics A: Mathematical and Theoretical,
IOP Publishing, 2026, doi:10.1088/1751-8121/ae6d51.'
short: 'C. Offen, B. Wembe, L. Ares, J. Sperling, S. Ober-Blöbaum, Journal of Physics
A: Mathematical and Theoretical (2026).'
date_created: 2026-06-01T09:41:19Z
date_updated: 2026-06-01T09:43:52Z
department:
- _id: '94'
doi: 10.1088/1751-8121/ae6d51
language:
- iso: eng
publication: 'Journal of Physics A: Mathematical and Theoretical'
publication_identifier:
issn:
- 1751-8113
- 1751-8121
publication_status: published
publisher: IOP Publishing
status: public
title: Numerical approaches to entangling dynamics from variational principles
type: journal_article
user_id: '95394'
year: '2026'
...
---
_id: '65865'
abstract:
- lang: eng
text: "Mathematical problem solving is a highly complex competence that needs\r\nto
be supported throughout the learning process. This study examines the role of\r\nproblem-solving
heuristics among 73 sixth-grade students in a German secondary\r\nschool (Gesamtschule).
Specifically, we focus on the empirical relationship between\r\nthe occurrence
of heuristics, their suitability, and application, as well as their contribution\r\nto
problem-solving success. To this end, we developed a heuristic training that\r\nintroduced
strategy keys (heuristic aid cards) accompanied by explanatory videos. By\r\nleveraging
variations in the successful application of the heuristics between students\r\nand
across multiple sessions (73 students in 4 training situations and 3 problems\r\nin
a final test), we discover from regression models with student and task-fixed
effects\r\nthat a successful use of heuristics (i.e., an heuristic occurred, that
heuristic had\r\na high suitability regarding the problem, and it was applied
correctly) leads to more\r\nsuccessful mathematical problem solving. Regarding
the underlying mechanism, we\r\nfind that all dimensions of heuristic use (occurrence,
suitability, and application\r\nof heuristics) are positively related to problem-solving
success. When comparing\r\nthe predictive capacity of all three aspects, we identified
the correct application of\r\nheuristics as particularly conducive for better
problem-solving success. In comparing\r\nthe group of students with high to those
with low initial math competence, we find no significant differences in the relationship
between heuristic use and problemsolving\r\nsuccess across achievement groups.
Our results emphasize the crucial role\r\nof heuristic application in mathematical
problem solving, which generally benefits\r\nstudents regardless of their overall
math competence."
article_type: original
author:
- first_name: Raja
full_name: Herold-Blasius, Raja
id: '126182'
last_name: Herold-Blasius
- first_name: Hannah
full_name: Kleinschmidt, Hannah
last_name: Kleinschmidt
- first_name: Conrad
full_name: Ziller, Conrad
last_name: Ziller
citation:
ama: 'Herold-Blasius R, Kleinschmidt H, Ziller C. Dimensions of Heuristic Use in
Mathematical Problem Solving: Evidence from Early Secondary School Students. Journal
für Mathematik-Didaktik. 2026;47(6). doi:https://doi.org/10.1007/s13138-026-00270-6'
apa: 'Herold-Blasius, R., Kleinschmidt, H., & Ziller, C. (2026). Dimensions
of Heuristic Use in Mathematical Problem Solving: Evidence from Early Secondary
School Students. Journal Für Mathematik-Didaktik, 47(6). https://doi.org/10.1007/s13138-026-00270-6'
bibtex: '@article{Herold-Blasius_Kleinschmidt_Ziller_2026, title={Dimensions of
Heuristic Use in Mathematical Problem Solving: Evidence from Early Secondary School
Students}, volume={47}, DOI={https://doi.org/10.1007/s13138-026-00270-6},
number={6}, journal={Journal für Mathematik-Didaktik}, author={Herold-Blasius,
Raja and Kleinschmidt, Hannah and Ziller, Conrad}, year={2026} }'
chicago: 'Herold-Blasius, Raja, Hannah Kleinschmidt, and Conrad Ziller. “Dimensions
of Heuristic Use in Mathematical Problem Solving: Evidence from Early Secondary
School Students.” Journal Für Mathematik-Didaktik 47, no. 6 (2026). https://doi.org/10.1007/s13138-026-00270-6.'
ieee: 'R. Herold-Blasius, H. Kleinschmidt, and C. Ziller, “Dimensions of Heuristic
Use in Mathematical Problem Solving: Evidence from Early Secondary School Students,”
Journal für Mathematik-Didaktik, vol. 47, no. 6, 2026, doi: https://doi.org/10.1007/s13138-026-00270-6.'
mla: 'Herold-Blasius, Raja, et al. “Dimensions of Heuristic Use in Mathematical
Problem Solving: Evidence from Early Secondary School Students.” Journal Für
Mathematik-Didaktik, vol. 47, no. 6, 2026, doi:https://doi.org/10.1007/s13138-026-00270-6.'
short: R. Herold-Blasius, H. Kleinschmidt, C. Ziller, Journal Für Mathematik-Didaktik
47 (2026).
date_created: 2026-06-15T10:08:04Z
date_updated: 2026-06-15T10:13:14Z
ddc:
- '510'
department:
- _id: '97'
doi: https://doi.org/10.1007/s13138-026-00270-6
file:
- access_level: closed
content_type: application/pdf
creator: rheroldb
date_created: 2026-06-15T10:03:48Z
date_updated: 2026-06-15T10:03:48Z
file_id: '65866'
file_name: 2026_JMD_Herold-Blasius et al_Dimensions of heuristic use.pdf
file_size: 1766182
relation: main_file
success: 1
file_date_updated: 2026-06-15T10:03:48Z
has_accepted_license: '1'
intvolume: ' 47'
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1007/s13138-026-00270-6
oa: '1'
publication: Journal für Mathematik-Didaktik
quality_controlled: '1'
status: public
title: 'Dimensions of Heuristic Use in Mathematical Problem Solving: Evidence from
Early Secondary School Students'
type: journal_article
user_id: '126182'
volume: 47
year: '2026'
...
---
_id: '65916'
author:
- first_name: Johanna
full_name: Jakob, Johanna
last_name: Jakob
citation:
ama: Jakob J. Diffeomorphism groups of compact locally polyhedral manifolds. Published
online 2026.
apa: Jakob, J. (2026). Diffeomorphism groups of compact locally polyhedral manifolds.
bibtex: '@article{Jakob_2026, title={Diffeomorphism groups of compact locally polyhedral
manifolds}, author={Jakob, Johanna}, year={2026} }'
chicago: Jakob, Johanna. “Diffeomorphism Groups of Compact Locally Polyhedral Manifolds,”
2026.
ieee: J. Jakob, “Diffeomorphism groups of compact locally polyhedral manifolds.”
2026.
mla: Jakob, Johanna. Diffeomorphism Groups of Compact Locally Polyhedral Manifolds.
2026.
short: J. Jakob, (2026).
date_created: 2026-06-17T06:11:59Z
date_updated: 2026-06-17T06:13:14Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
external_id:
arxiv:
- arXiv:2606.14423
language:
- iso: eng
status: public
title: Diffeomorphism groups of compact locally polyhedral manifolds
type: preprint
user_id: '178'
year: '2026'
...
---
_id: '66060'
author:
- first_name: Leander
full_name: Claes, Leander
id: '11829'
last_name: Claes
orcid: 0000-0002-4393-268X
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Claes L, Winkler M. Local strong solutions in a quasilinear Moore-Gibson-Thompson
type model for thermoviscoelastic evolution in a standard linear solid. Nonlinear
Differential Equations and Applications NoDEA. 2026;33(4). doi:10.1007/s00030-026-01239-7
apa: Claes, L., & Winkler, M. (2026). Local strong solutions in a quasilinear
Moore-Gibson-Thompson type model for thermoviscoelastic evolution in a standard
linear solid. Nonlinear Differential Equations and Applications NoDEA,
33(4). https://doi.org/10.1007/s00030-026-01239-7
bibtex: '@article{Claes_Winkler_2026, title={Local strong solutions in a quasilinear
Moore-Gibson-Thompson type model for thermoviscoelastic evolution in a standard
linear solid}, volume={33}, DOI={10.1007/s00030-026-01239-7},
number={4}, journal={Nonlinear Differential Equations and Applications NoDEA},
publisher={Springer Science and Business Media LLC}, author={Claes, Leander and
Winkler, Michael}, year={2026} }'
chicago: Claes, Leander, and Michael Winkler. “Local Strong Solutions in a Quasilinear
Moore-Gibson-Thompson Type Model for Thermoviscoelastic Evolution in a Standard
Linear Solid.” Nonlinear Differential Equations and Applications NoDEA
33, no. 4 (2026). https://doi.org/10.1007/s00030-026-01239-7.
ieee: 'L. Claes and M. Winkler, “Local strong solutions in a quasilinear Moore-Gibson-Thompson
type model for thermoviscoelastic evolution in a standard linear solid,” Nonlinear
Differential Equations and Applications NoDEA, vol. 33, no. 4, 2026, doi:
10.1007/s00030-026-01239-7.'
mla: Claes, Leander, and Michael Winkler. “Local Strong Solutions in a Quasilinear
Moore-Gibson-Thompson Type Model for Thermoviscoelastic Evolution in a Standard
Linear Solid.” Nonlinear Differential Equations and Applications NoDEA,
vol. 33, no. 4, Springer Science and Business Media LLC, 2026, doi:10.1007/s00030-026-01239-7.
short: L. Claes, M. Winkler, Nonlinear Differential Equations and Applications NoDEA
33 (2026).
date_created: 2026-06-26T09:21:21Z
date_updated: 2026-06-26T09:23:14Z
department:
- _id: '49'
- _id: '90'
doi: 10.1007/s00030-026-01239-7
intvolume: ' 33'
issue: '4'
language:
- iso: eng
project:
- _id: '245'
name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
für Leistungsschallanwendungen (NEPTUN)'
publication: Nonlinear Differential Equations and Applications NoDEA
publication_identifier:
issn:
- 1420-9004
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Local strong solutions in a quasilinear Moore-Gibson-Thompson type model for
thermoviscoelastic evolution in a standard linear solid
type: journal_article
user_id: '11829'
volume: 33
year: '2026'
...
---
_id: '66057'
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 $A$-stable backward difference
full discretizations of Willmore flow of closed surfaces. ArXiv. Published
online 2026. doi:10.48550/arXiv.2606.25934
apa: Bullerjahn, N., & Kovács, B. (2026). Error estimates for $A$-stable backward
difference full discretizations of Willmore flow of closed surfaces. ArXiv.
https://doi.org/10.48550/arXiv.2606.25934
bibtex: '@article{Bullerjahn_Kovács_2026, title={Error estimates for $A$-stable
backward difference full discretizations of Willmore flow of closed surfaces},
DOI={10.48550/arXiv.2606.25934},
journal={ArXiv}, author={Bullerjahn, Nils and Kovács, Balázs}, year={2026} }'
chicago: Bullerjahn, Nils, and Balázs Kovács. “Error Estimates for $A$-Stable Backward
Difference Full Discretizations of Willmore Flow of Closed Surfaces.” ArXiv,
2026. https://doi.org/10.48550/arXiv.2606.25934.
ieee: 'N. Bullerjahn and B. Kovács, “Error estimates for $A$-stable backward difference
full discretizations of Willmore flow of closed surfaces,” ArXiv, 2026,
doi: 10.48550/arXiv.2606.25934.'
mla: Bullerjahn, Nils, and Balázs Kovács. “Error Estimates for $A$-Stable Backward
Difference Full Discretizations of Willmore Flow of Closed Surfaces.” ArXiv,
2026, doi:10.48550/arXiv.2606.25934.
short: N. Bullerjahn, B. Kovács, ArXiv (2026).
date_created: 2026-06-26T06:03:08Z
date_updated: 2026-06-26T06:09:29Z
department:
- _id: '841'
doi: 10.48550/arXiv.2606.25934
language:
- iso: eng
publication: ArXiv
status: public
title: Error estimates for $A$-stable backward difference full discretizations of
Willmore flow of closed surfaces
type: journal_article
user_id: '103797'
year: '2026'
...
---
_id: '66074'
abstract:
- lang: eng
text: "Abstract\r\n This study
investigates how secondary students construct and evaluate decision trees in an
open exploratory task using CODAP. By analyzing students’ tree products and oral
self-reports, we identified different data-based and context-based approaches
to predictor selection and stopping criteria. Students engaged with key ideas
of predictive modeling, including classification, model construction, accuracy,
generalization, and interpretability. Informal exploration offered rich opportunities
for subsequent teaching by enabling students to begin reconstructing central technical
ideas and critical tensions of predictive modeling through diverse but meaningful
reasoning approaches."
author:
- first_name: Franz Yannik
full_name: Fleischer, Franz Yannik
id: '42660'
last_name: Fleischer
orcid: https://orcid.org/0000-0003-0318-0329
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Fleischer FY, Biehler R. Informal approaches to predictive modeling: fostering
data literacy and critical engagement through decision tree construction. ZDM
– Mathematics Education. Published online 2026. doi:10.1007/s11858-026-01806-3'
apa: 'Fleischer, F. Y., & Biehler, R. (2026). Informal approaches to predictive
modeling: fostering data literacy and critical engagement through decision tree
construction. ZDM – Mathematics Education. https://doi.org/10.1007/s11858-026-01806-3'
bibtex: '@article{Fleischer_Biehler_2026, title={Informal approaches to predictive
modeling: fostering data literacy and critical engagement through decision tree
construction}, DOI={10.1007/s11858-026-01806-3},
journal={ZDM – Mathematics Education}, publisher={Springer Science and Business
Media LLC}, author={Fleischer, Franz Yannik and Biehler, Rolf}, year={2026} }'
chicago: 'Fleischer, Franz Yannik, and Rolf Biehler. “Informal Approaches to Predictive
Modeling: Fostering Data Literacy and Critical Engagement through Decision Tree
Construction.” ZDM – Mathematics Education, 2026. https://doi.org/10.1007/s11858-026-01806-3.'
ieee: 'F. Y. Fleischer and R. Biehler, “Informal approaches to predictive modeling:
fostering data literacy and critical engagement through decision tree construction,”
ZDM – Mathematics Education, 2026, doi: 10.1007/s11858-026-01806-3.'
mla: 'Fleischer, Franz Yannik, and Rolf Biehler. “Informal Approaches to Predictive
Modeling: Fostering Data Literacy and Critical Engagement through Decision Tree
Construction.” ZDM – Mathematics Education, Springer Science and Business
Media LLC, 2026, doi:10.1007/s11858-026-01806-3.'
short: F.Y. Fleischer, R. Biehler, ZDM – Mathematics Education (2026).
date_created: 2026-06-29T07:43:33Z
date_updated: 2026-06-29T07:47:44Z
department:
- _id: '363'
doi: 10.1007/s11858-026-01806-3
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://link.springer.com/article/10.1007/s11858-026-01806-3
oa: '1'
publication: ZDM – Mathematics Education
publication_identifier:
issn:
- 1863-9690
- 1863-9704
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: 'Informal approaches to predictive modeling: fostering data literacy and critical
engagement through decision tree construction'
type: journal_article
user_id: '37888'
year: '2026'
...
---
_id: '60491'
abstract:
- lang: eng
text: We investigate generalisations of 1-factorisations and hyperfactorisations
of the complete graph $K_{2n}$. We show that they are special subsets of the association
scheme obtained from the Gelfand pair $(S_{2n},S_2 \wr S_n)$. This unifies and
extends results by Cameron (1976) and gives rise to new existence and non-existence
results. Our methods involve working in the group algebra $\mathbb{C}[S_{2n}]$
and using the representation theory of $S_{2n}$.
author:
- first_name: Lukas-André Dominik
full_name: Klawuhn, Lukas-André Dominik
id: '91965'
last_name: Klawuhn
orcid: 0009-0009-7736-4885
- first_name: John
full_name: Bamberg, John
last_name: Bamberg
citation:
ama: Klawuhn L-AD, Bamberg J. On the association scheme of perfect matchings and
their designs. Algebraic Combinatorics. 2026;9(3):789-809. doi:10.5802/alco.490
apa: Klawuhn, L.-A. D., & Bamberg, J. (2026). On the association scheme of perfect
matchings and their designs. Algebraic Combinatorics, 9(3), 789–809.
https://doi.org/10.5802/alco.490
bibtex: '@article{Klawuhn_Bamberg_2026, title={On the association scheme of perfect
matchings and their designs}, volume={9}, DOI={10.5802/alco.490},
number={3}, journal={Algebraic Combinatorics}, author={Klawuhn, Lukas-André Dominik
and Bamberg, John}, year={2026}, pages={789–809} }'
chicago: 'Klawuhn, Lukas-André Dominik, and John Bamberg. “On the Association Scheme
of Perfect Matchings and Their Designs.” Algebraic Combinatorics 9, no.
3 (2026): 789–809. https://doi.org/10.5802/alco.490.'
ieee: 'L.-A. D. Klawuhn and J. Bamberg, “On the association scheme of perfect matchings
and their designs,” Algebraic Combinatorics, vol. 9, no. 3, pp. 789–809,
2026, doi: 10.5802/alco.490.'
mla: Klawuhn, Lukas-André Dominik, and John Bamberg. “On the Association Scheme
of Perfect Matchings and Their Designs.” Algebraic Combinatorics, vol.
9, no. 3, 2026, pp. 789–809, doi:10.5802/alco.490.
short: L.-A.D. Klawuhn, J. Bamberg, Algebraic Combinatorics 9 (2026) 789–809.
date_created: 2025-07-02T07:37:23Z
date_updated: 2026-07-10T12:26:11Z
department:
- _id: '100'
doi: 10.5802/alco.490
intvolume: ' 9'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://alco.centre-mersenne.org/articles/10.5802/alco.490/
oa: '1'
page: 789-809
publication: Algebraic Combinatorics
status: public
title: On the association scheme of perfect matchings and their designs
type: journal_article
user_id: '91965'
volume: 9
year: '2026'
...
---
_id: '66642'
abstract:
- lang: eng
text: "In this work, we build a bridge between the Pólya--Schur program and Voiculescu's
free probability theory. A cornerstone of the former is the Pólya--Benz Theorem,
classifying a central family of real-root preserving operators on the space of
polynomials, as those given by $f(\\partial_z)$ for a Laguerre--Pólya function
$f$ and the derivative operator $\\partial_{z}$. We prove that any free (additive)
infinitely divisible distribution can be attained as the weak limit of root distributions
of Appell polynomials $f_n(\\partial_z)z^n$ as $n\\to\\infty$, for a suitably
chosen sequence $f_n$ of Laguerre--Pólya functions.\r\n Such questions on the
(global) limiting distributions of real rooted polynomials belong to the active
research area of finite free probability. In contrast to its standard tools, our
approach allows for non-compactly supported limiting distributions, (barely) complex
rooted polynomials and even provides the full microscopic description of the roots.
Moreover, we extend our results to differential operators generating free multiplicative
infinitely divisible distributions, to the rectangular free convolution, and to
$f_n(\\partial_z)p_n$ for real rooted polynomials $p_n$, implying a generalization
of the recent connections between the heat flow and free Brownian motion to any
free Lévy process.\r\n As corollaries, we identify free stable distributions
by choosing $f_n$ to be a fixed rescaled Laguerre--Pólya function, and we prove
various convergence results on the zero distributions of Jensen polynomials, e.g.
the limiting root distribution of Jensen polynomial of the Riemann $Ξ$-function
is given by the Cauchy distribution."
author:
- first_name: Andrew
full_name: Campbell, Andrew
last_name: Campbell
- first_name: Jonas
full_name: Jalowy, Jonas
id: '113768'
last_name: Jalowy
orcid: 0000-0001-9624-2685
citation:
ama: Campbell A, Jalowy J. Pólya--Schur problems and free probability. arXiv:260531356.
Published online 2026.
apa: Campbell, A., & Jalowy, J. (2026). Pólya--Schur problems and free probability.
In arXiv:2605.31356.
bibtex: '@article{Campbell_Jalowy_2026, title={Pólya--Schur problems and free probability},
journal={arXiv:2605.31356}, author={Campbell, Andrew and Jalowy, Jonas}, year={2026}
}'
chicago: Campbell, Andrew, and Jonas Jalowy. “Pólya--Schur Problems and Free Probability.”
ArXiv:2605.31356, 2026.
ieee: A. Campbell and J. Jalowy, “Pólya--Schur problems and free probability,” arXiv:2605.31356.
2026.
mla: Campbell, Andrew, and Jonas Jalowy. “Pólya--Schur Problems and Free Probability.”
ArXiv:2605.31356, 2026.
short: A. Campbell, J. Jalowy, ArXiv:2605.31356 (2026).
date_created: 2026-08-04T06:07:17Z
date_updated: 2026-08-04T06:07:45Z
department:
- _id: '94'
external_id:
arxiv:
- '2605.31356'
language:
- iso: eng
publication: arXiv:2605.31356
status: public
title: Pólya--Schur problems and free probability
type: preprint
user_id: '113768'
year: '2026'
...
---
_id: '66641'
article_number: '104996'
author:
- first_name: Jonas
full_name: Jalowy, Jonas
id: '113768'
last_name: Jalowy
orcid: 0000-0001-9624-2685
- first_name: Hanna
full_name: Stange, Hanna
last_name: Stange
citation:
ama: Jalowy J, Stange H. Box-covariances of hyperuniform point processes. Stochastic
Processes and their Applications. 2026;199. doi:10.1016/j.spa.2026.104996
apa: Jalowy, J., & Stange, H. (2026). Box-covariances of hyperuniform point
processes. Stochastic Processes and Their Applications, 199, Article
104996. https://doi.org/10.1016/j.spa.2026.104996
bibtex: '@article{Jalowy_Stange_2026, title={Box-covariances of hyperuniform point
processes}, volume={199}, DOI={10.1016/j.spa.2026.104996},
number={104996}, journal={Stochastic Processes and their Applications}, publisher={Elsevier
BV}, author={Jalowy, Jonas and Stange, Hanna}, year={2026} }'
chicago: Jalowy, Jonas, and Hanna Stange. “Box-Covariances of Hyperuniform Point
Processes.” Stochastic Processes and Their Applications 199 (2026). https://doi.org/10.1016/j.spa.2026.104996.
ieee: 'J. Jalowy and H. Stange, “Box-covariances of hyperuniform point processes,”
Stochastic Processes and their Applications, vol. 199, Art. no. 104996,
2026, doi: 10.1016/j.spa.2026.104996.'
mla: Jalowy, Jonas, and Hanna Stange. “Box-Covariances of Hyperuniform Point Processes.”
Stochastic Processes and Their Applications, vol. 199, 104996, Elsevier
BV, 2026, doi:10.1016/j.spa.2026.104996.
short: J. Jalowy, H. Stange, Stochastic Processes and Their Applications 199 (2026).
date_created: 2026-08-04T06:06:09Z
date_updated: 2026-08-04T06:07:59Z
department:
- _id: '94'
doi: 10.1016/j.spa.2026.104996
intvolume: ' 199'
language:
- iso: eng
publication: Stochastic Processes and their Applications
publication_identifier:
issn:
- 0304-4149
publication_status: published
publisher: Elsevier BV
status: public
title: Box-covariances of hyperuniform point processes
type: journal_article
user_id: '113768'
volume: 199
year: '2026'
...
---
_id: '66731'
abstract:
- lang: eng
text: "We generalize intersection numbers for combinatorial designs to designs in
finite meet-semilattices satisfying suitable regularity conditions. While designs
in regular semilattices go back to Delsarte, our regularity assumptions are weaker
than his and need not give rise to an association scheme. In this framework, we
extend Mendelsohn's equations, prove a generalized Singleton bound with Steiner
systems as equality cases, and determine the block intersection distribution at
any block of a Steiner system. In particular, this distribution is independent
of the chosen block.\r\n Specializing to several classical semilattice families,
our results recover a number of well-known distributions in coding and design
theory. In the Hamming and the $q$-Hamming (or bilinear forms) schemes, they give
the local distance distributions of MDS and MRD codes, respectively. In the Johnson
and $q$-Johnson (or Graßmann) schemes, they reproduce the block intersection distribution
of classical and $q$-analog Steiner systems, equivalently the distance distribution
of diameter-perfect constant-weight codes and diameter-perfect constant-dimension
subspace codes. For the $q$-Johnson schemes, to the best of our knowledge, this
result is new. As a further illustration, we apply our theory to designs of perfect
matchings.\r\n Our approach provides a unified treatment of these cases in the
strongest form known in the literature, determining the distribution relative
to each individual block or codeword, without averaging and without linearity
or additivity assumptions. Moreover, it identifies the natural double-counting
objects underlying these distributions, leading to formulas in the regularity
parameters of the semilattice and avoiding the more cumbersome expressions that
arise in eigenvalue-based approaches via the ambient association scheme."
author:
- first_name: Michael
full_name: Kiermaier, Michael
last_name: Kiermaier
- first_name: Lukas-André Dominik
full_name: Klawuhn, Lukas-André Dominik
id: '91965'
last_name: Klawuhn
orcid: 0009-0009-7736-4885
citation:
ama: Kiermaier M, Klawuhn L-AD. Intersection numbers for designs in regular semilattices.
Published online 2026.
apa: Kiermaier, M., & Klawuhn, L.-A. D. (2026). Intersection numbers for
designs in regular semilattices.
bibtex: '@article{Kiermaier_Klawuhn_2026, title={Intersection numbers for designs
in regular semilattices}, author={Kiermaier, Michael and Klawuhn, Lukas-André
Dominik}, year={2026} }'
chicago: Kiermaier, Michael, and Lukas-André Dominik Klawuhn. “Intersection Numbers
for Designs in Regular Semilattices,” 2026.
ieee: M. Kiermaier and L.-A. D. Klawuhn, “Intersection numbers for designs in regular
semilattices.” 2026.
mla: Kiermaier, Michael, and Lukas-André Dominik Klawuhn. Intersection Numbers
for Designs in Regular Semilattices. 2026.
short: M. Kiermaier, L.-A.D. Klawuhn, (2026).
date_created: 2026-08-17T10:29:36Z
date_updated: 2026-08-17T10:31:03Z
department:
- _id: '100'
external_id:
arxiv:
- '2608.14437'
language:
- iso: eng
status: public
title: Intersection numbers for designs in regular semilattices
type: preprint
user_id: '91965'
year: '2026'
...
---
_id: '56116'
article_number: '102404'
article_type: original
author:
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
- first_name: Erlend
full_name: Grong, Erlend
last_name: Grong
- first_name: Alexander
full_name: Schmeding, Alexander
last_name: Schmeding
citation:
ama: Glöckner H, Grong E, Schmeding A. Boundary values of diffeomorphisms of simple
polytopes, and controllability. Differential Geometry and its Applications.
2026;104. doi:10.1016/j.difgeo.2026.102404
apa: Glöckner, H., Grong, E., & Schmeding, A. (2026). Boundary values of diffeomorphisms
of simple polytopes, and controllability. Differential Geometry and Its Applications,
104, Article 102404. https://doi.org/10.1016/j.difgeo.2026.102404
bibtex: '@article{Glöckner_Grong_Schmeding_2026, title={Boundary values of diffeomorphisms
of simple polytopes, and controllability}, volume={104}, DOI={10.1016/j.difgeo.2026.102404},
number={102404}, journal={Differential Geometry and its Applications}, author={Glöckner,
Helge and Grong, Erlend and Schmeding, Alexander}, year={2026} }'
chicago: Glöckner, Helge, Erlend Grong, and Alexander Schmeding. “Boundary Values
of Diffeomorphisms of Simple Polytopes, and Controllability.” Differential
Geometry and Its Applications 104 (2026). https://doi.org/10.1016/j.difgeo.2026.102404.
ieee: 'H. Glöckner, E. Grong, and A. Schmeding, “Boundary values of diffeomorphisms
of simple polytopes, and controllability,” Differential Geometry and its Applications,
vol. 104, Art. no. 102404, 2026, doi: 10.1016/j.difgeo.2026.102404.'
mla: Glöckner, Helge, et al. “Boundary Values of Diffeomorphisms of Simple Polytopes,
and Controllability.” Differential Geometry and Its Applications, vol.
104, 102404, 2026, doi:10.1016/j.difgeo.2026.102404.
short: H. Glöckner, E. Grong, A. Schmeding, Differential Geometry and Its Applications
104 (2026).
date_created: 2024-09-11T22:50:56Z
date_updated: 2026-07-01T15:02:58Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1016/j.difgeo.2026.102404
external_id:
arxiv:
- '2407.05444'
intvolume: ' 104'
language:
- iso: eng
publication: Differential Geometry and its Applications
quality_controlled: '1'
status: public
title: Boundary values of diffeomorphisms of simple polytopes, and controllability
type: journal_article
user_id: '178'
volume: 104
year: '2026'
...
---
_id: '66121'
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: Svea
full_name: Hallemann, Svea
last_name: Hallemann
- first_name: Theresa
full_name: Schopferer, Theresa
last_name: Schopferer
citation:
ama: Bruns J, Gasteiger H, Hallemann S, Schopferer T. Leadership practices in implementing
early mathematics education as a curriculum innovation into vocational training
of early childhood education. Research in Mathematics Education. Published
online 2026:1-21. doi:10.1080/14794802.2026.2689902
apa: Bruns, J., Gasteiger, H., Hallemann, S., & Schopferer, T. (2026). Leadership
practices in implementing early mathematics education as a curriculum innovation
into vocational training of early childhood education. Research in Mathematics
Education, 1–21. https://doi.org/10.1080/14794802.2026.2689902
bibtex: '@article{Bruns_Gasteiger_Hallemann_Schopferer_2026, title={Leadership practices
in implementing early mathematics education as a curriculum innovation into vocational
training of early childhood education}, DOI={10.1080/14794802.2026.2689902},
journal={Research in Mathematics Education}, publisher={Informa UK Limited}, author={Bruns,
Julia and Gasteiger, Hedwig and Hallemann, Svea and Schopferer, Theresa}, year={2026},
pages={1–21} }'
chicago: Bruns, Julia, Hedwig Gasteiger, Svea Hallemann, and Theresa Schopferer.
“Leadership Practices in Implementing Early Mathematics Education as a Curriculum
Innovation into Vocational Training of Early Childhood Education.” Research
in Mathematics Education, 2026, 1–21. https://doi.org/10.1080/14794802.2026.2689902.
ieee: 'J. Bruns, H. Gasteiger, S. Hallemann, and T. Schopferer, “Leadership practices
in implementing early mathematics education as a curriculum innovation into vocational
training of early childhood education,” Research in Mathematics Education,
pp. 1–21, 2026, doi: 10.1080/14794802.2026.2689902.'
mla: Bruns, Julia, et al. “Leadership Practices in Implementing Early Mathematics
Education as a Curriculum Innovation into Vocational Training of Early Childhood
Education.” Research in Mathematics Education, Informa UK Limited, 2026,
pp. 1–21, doi:10.1080/14794802.2026.2689902.
short: J. Bruns, H. Gasteiger, S. Hallemann, T. Schopferer, Research in Mathematics
Education (2026) 1–21.
date_created: 2026-07-03T10:18:03Z
date_updated: 2026-07-03T10:18:36Z
department:
- _id: '611'
doi: 10.1080/14794802.2026.2689902
language:
- iso: eng
page: 1-21
publication: Research in Mathematics Education
publication_identifier:
issn:
- 1479-4802
- 1754-0178
publication_status: published
publisher: Informa UK Limited
status: public
title: Leadership practices in implementing early mathematics education as a curriculum
innovation into vocational training of early childhood education
type: journal_article
user_id: '72183'
year: '2026'
...
---
_id: '66676'
citation:
ama: Büchter T, Eichler A, Binder K, eds. Simulationen in Der MINT-Bildung -
Impulse Für Den Mathematikunterricht. Vol 72. Friedrich Verlag; 2026:2-5.
apa: Simulationen in der MINT-Bildung - Impulse für den Mathematikunterricht. (2026).
In T. Büchter, A. Eichler, & K. Binder (Eds.), Der Mathematikunterricht
(Vol. 72, Issue 3, pp. 2–5). Friedrich Verlag.
bibtex: '@book{Büchter_Eichler_Binder_2026, title={Simulationen in der MINT-Bildung
- Impulse für den Mathematikunterricht}, volume={72}, number={3}, journal={Der
Mathematikunterricht}, publisher={Friedrich Verlag}, year={2026}, pages={2–5}
}'
chicago: Büchter, Theresa, Andreas Eichler, and Karin Binder, eds. Simulationen
in Der MINT-Bildung - Impulse Für Den Mathematikunterricht. Der Mathematikunterricht.
Vol. 72. Friedrich Verlag, 2026.
ieee: T. Büchter, A. Eichler, and K. Binder, Eds., Simulationen in der MINT-Bildung
- Impulse für den Mathematikunterricht, vol. 72, no. 3. Friedrich Verlag,
2026, pp. 2–5.
mla: Büchter, Theresa, et al., editors. “Simulationen in Der MINT-Bildung - Impulse
Für Den Mathematikunterricht.” Der Mathematikunterricht, vol. 72, no. 3,
Friedrich Verlag, 2026, pp. 2–5.
short: T. Büchter, A. Eichler, K. Binder, eds., Simulationen in Der MINT-Bildung
- Impulse Für Den Mathematikunterricht, Friedrich Verlag, 2026.
date_created: 2026-08-06T14:19:31Z
date_updated: 2026-08-06T14:21:43Z
department:
- _id: '983'
editor:
- first_name: Theresa
full_name: Büchter, Theresa
last_name: Büchter
- first_name: Andreas
full_name: Eichler, Andreas
last_name: Eichler
- first_name: Karin
full_name: Binder, Karin
id: '83381'
last_name: Binder
intvolume: ' 72'
issue: '3'
language:
- iso: eng
page: 2-5
project:
- _id: '2784'
name: '„Komplexe MINT-Themen verstehen: Mit Simulationen Kompetenzen für das 21.
Jahrhundert fördern“ (siMINT) - Teilprojekt siMINT Risk'
publication: Der Mathematikunterricht
publisher: Friedrich Verlag
status: public
title: Simulationen in der MINT-Bildung - Impulse für den Mathematikunterricht
type: journal_editor
user_id: '83381'
volume: 72
year: '2026'
...
---
_id: '66677'
author:
- first_name: Theresa
full_name: Büchter, Theresa
last_name: Büchter
- first_name: Karin
full_name: Binder, Karin
id: '83381'
last_name: Binder
- first_name: Andreas
full_name: Eichler, Andreas
last_name: Eichler
citation:
ama: Büchter T, Binder K, Eichler A. Unterschiedliche Typen von Simulationen - Klassifikation,
Beispiele und unterrichtlicher Einsatz. Der Mathematikunterricht. 2026;73(3):6-15.
apa: Büchter, T., Binder, K., & Eichler, A. (2026). Unterschiedliche Typen von
Simulationen - Klassifikation, Beispiele und unterrichtlicher Einsatz. Der
Mathematikunterricht, 73(3), 6–15.
bibtex: '@article{Büchter_Binder_Eichler_2026, title={Unterschiedliche Typen von
Simulationen - Klassifikation, Beispiele und unterrichtlicher Einsatz}, volume={73},
number={3}, journal={Der Mathematikunterricht}, author={Büchter, Theresa and Binder,
Karin and Eichler, Andreas}, year={2026}, pages={6–15} }'
chicago: 'Büchter, Theresa, Karin Binder, and Andreas Eichler. “Unterschiedliche
Typen von Simulationen - Klassifikation, Beispiele Und Unterrichtlicher Einsatz.”
Der Mathematikunterricht 73, no. 3 (2026): 6–15.'
ieee: T. Büchter, K. Binder, and A. Eichler, “Unterschiedliche Typen von Simulationen
- Klassifikation, Beispiele und unterrichtlicher Einsatz,” Der Mathematikunterricht,
vol. 73, no. 3, pp. 6–15, 2026.
mla: Büchter, Theresa, et al. “Unterschiedliche Typen von Simulationen - Klassifikation,
Beispiele Und Unterrichtlicher Einsatz.” Der Mathematikunterricht, vol.
73, no. 3, 2026, pp. 6–15.
short: T. Büchter, K. Binder, A. Eichler, Der Mathematikunterricht 73 (2026) 6–15.
date_created: 2026-08-06T14:21:24Z
date_updated: 2026-08-06T14:21:29Z
department:
- _id: '983'
intvolume: ' 73'
issue: '3'
language:
- iso: eng
page: 6-15
project:
- _id: '2784'
name: '„Komplexe MINT-Themen verstehen: Mit Simulationen Kompetenzen für das 21.
Jahrhundert fördern“ (siMINT) - Teilprojekt siMINT Risk'
publication: Der Mathematikunterricht
status: public
title: Unterschiedliche Typen von Simulationen - Klassifikation, Beispiele und unterrichtlicher
Einsatz
type: journal_article
user_id: '83381'
volume: 73
year: '2026'
...
---
_id: '66694'
author:
- first_name: Tobias
full_name: Black, Tobias
id: '23686'
last_name: Black
orcid: 0000-0001-9963-0800
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Black T, Winkler M. Global solutions and large time stabilization in a model
for thermoacoustics in a standard linear solid. Evolution Equations and Control
Theory. 2026;25(0):278-308. doi:10.3934/eect.2026091
apa: Black, T., & Winkler, M. (2026). Global solutions and large time stabilization
in a model for thermoacoustics in a standard linear solid. Evolution Equations
and Control Theory, 25(0), 278–308. https://doi.org/10.3934/eect.2026091
bibtex: '@article{Black_Winkler_2026, title={Global solutions and large time stabilization
in a model for thermoacoustics in a standard linear solid}, volume={25}, DOI={10.3934/eect.2026091}, number={0},
journal={Evolution Equations and Control Theory}, publisher={American Institute
of Mathematical Sciences (AIMS)}, author={Black, Tobias and Winkler, Michael},
year={2026}, pages={278–308} }'
chicago: 'Black, Tobias, and Michael Winkler. “Global Solutions and Large Time Stabilization
in a Model for Thermoacoustics in a Standard Linear Solid.” Evolution Equations
and Control Theory 25, no. 0 (2026): 278–308. https://doi.org/10.3934/eect.2026091.'
ieee: 'T. Black and M. Winkler, “Global solutions and large time stabilization in
a model for thermoacoustics in a standard linear solid,” Evolution Equations
and Control Theory, vol. 25, no. 0, pp. 278–308, 2026, doi: 10.3934/eect.2026091.'
mla: Black, Tobias, and Michael Winkler. “Global Solutions and Large Time Stabilization
in a Model for Thermoacoustics in a Standard Linear Solid.” Evolution Equations
and Control Theory, vol. 25, no. 0, American Institute of Mathematical Sciences
(AIMS), 2026, pp. 278–308, doi:10.3934/eect.2026091.
short: T. Black, M. Winkler, Evolution Equations and Control Theory 25 (2026) 278–308.
date_created: 2026-08-11T09:50:10Z
date_updated: 2026-08-11T09:52:50Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.3934/eect.2026091
intvolume: ' 25'
issue: '0'
language:
- iso: eng
page: 278-308
publication: Evolution Equations and Control Theory
publication_identifier:
issn:
- 2163-2480
publication_status: published
publisher: American Institute of Mathematical Sciences (AIMS)
status: public
title: Global solutions and large time stabilization in a model for thermoacoustics
in a standard linear solid
type: journal_article
user_id: '23686'
volume: 25
year: '2026'
...
---
_id: '66759'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Karin
full_name: Binder, Karin
last_name: Binder
- first_name: Michael
full_name: Haverkamp, Michael
last_name: Haverkamp
- first_name: Leander
full_name: Kempen, Leander
last_name: Kempen
citation:
ama: 'Biehler R, Binder K, Haverkamp M, Kempen L. Impulse zur Stochastik in der
Oberstufe. In: Barzel B, Schnasse S, Ebers P, eds. Mathematikabitur „Status
Quo–Quo Vadis “: Tagungsband zur Fachtagung zum Mathematikabitur am 11./12. Februar
2025 in Dresden. Universität Duisburg-Essen; 2026:56–70.'
apa: 'Biehler, R., Binder, K., Haverkamp, M., & Kempen, L. (2026). Impulse zur
Stochastik in der Oberstufe. In B. Barzel, S. Schnasse, & P. Ebers (Eds.),
Mathematikabitur „Status Quo–Quo Vadis “: Tagungsband zur Fachtagung zum Mathematikabitur
am 11./12. Februar 2025 in Dresden (pp. 56–70). Universität Duisburg-Essen.'
bibtex: '@inproceedings{Biehler_Binder_Haverkamp_Kempen_2026, place={Essen}, title={Impulse
zur Stochastik in der Oberstufe}, booktitle={Mathematikabitur „Status Quo–Quo
Vadis “: Tagungsband zur Fachtagung zum Mathematikabitur am 11./12. Februar 2025
in Dresden}, publisher={Universität Duisburg-Essen}, author={Biehler, Rolf and
Binder, Karin and Haverkamp, Michael and Kempen, Leander}, editor={Barzel, Bärbel
and Schnasse, Saskia and Ebers, Patrick}, year={2026}, pages={56–70} }'
chicago: 'Biehler, Rolf, Karin Binder, Michael Haverkamp, and Leander Kempen. “Impulse
zur Stochastik in der Oberstufe.” In Mathematikabitur „Status Quo–Quo Vadis
“: Tagungsband zur Fachtagung zum Mathematikabitur am 11./12. Februar 2025 in
Dresden, edited by Bärbel Barzel, Saskia Schnasse, and Patrick Ebers, 56–70.
Essen: Universität Duisburg-Essen, 2026.'
ieee: 'R. Biehler, K. Binder, M. Haverkamp, and L. Kempen, “Impulse zur Stochastik
in der Oberstufe,” in Mathematikabitur „Status Quo–Quo Vadis “: Tagungsband
zur Fachtagung zum Mathematikabitur am 11./12. Februar 2025 in Dresden, Dresden,
2026, pp. 56–70.'
mla: 'Biehler, Rolf, et al. “Impulse zur Stochastik in der Oberstufe.” Mathematikabitur
„Status Quo–Quo Vadis “: Tagungsband zur Fachtagung zum Mathematikabitur am 11./12.
Februar 2025 in Dresden, edited by Bärbel Barzel et al., Universität Duisburg-Essen,
2026, pp. 56–70.'
short: 'R. Biehler, K. Binder, M. Haverkamp, L. Kempen, in: B. Barzel, S. Schnasse,
P. Ebers (Eds.), Mathematikabitur „Status Quo–Quo Vadis “: Tagungsband zur Fachtagung
zum Mathematikabitur am 11./12. Februar 2025 in Dresden, Universität Duisburg-Essen,
Essen, 2026, pp. 56–70.'
conference:
end_date: 12.02.2025
location: Dresden
name: Fachtagung zum Mathematikabitur „Status Quo – Quo Vadis“
start_date: 11.02.2025
date_created: 2026-08-20T11:10:46Z
date_updated: 2026-08-20T11:26:11Z
department:
- _id: '363'
- _id: '979'
editor:
- first_name: Bärbel
full_name: Barzel, Bärbel
last_name: Barzel
- first_name: Saskia
full_name: Schnasse, Saskia
last_name: Schnasse
- first_name: Patrick
full_name: Ebers, Patrick
last_name: Ebers
language:
- iso: ger
main_file_link:
- url: https://doi.org/https://doi.org/10.17185/duepublico/86715
page: 56–70
place: Essen
publication: 'Mathematikabitur „Status Quo–Quo Vadis “: Tagungsband zur Fachtagung
zum Mathematikabitur am 11./12. Februar 2025 in Dresden'
publisher: Universität Duisburg-Essen
status: public
title: Impulse zur Stochastik in der Oberstufe
type: conference
user_id: '37888'
year: '2026'
...
---
_id: '66842'
abstract:
- lang: ger
text: AnnoPy ist ein digitales Werkzeug, um kollaborativ Texte zu lesen, zu erschließen
und zu analysieren. Es ist für die Präsenzlehre konzipiert und unterstützt Lehrende
dabei, den Übergang von der individuellen Auseinandersetzung mit wissenschaftlichen
Texten hin zu einer kollaborativ-sozialen Aushandlung des Gelesenen in Lehrveranstaltungen
zu organisieren und zu strukturieren. Im Beitrag wird das digitale kollaborative
Tool AnnoPy vorgestellt und gezeigt, welche Potenziale sich für die Analyse von
Daten über Lernende durch die Integration von KI-basierter Learning Analytics
in das Tool ergeben. Anhand von exemplarischen Daten aus einer Vorlesung der Mathematikdidaktik
wird zunächst vorgestellt, wie in AnnoPy eine algorithmisch-händische Analyse
und Datenauswertung erfolgte, um dann diese Art der Auswertung mit einer KI-gestützten
Auswertung, bei der ein MCP-Server eingebunden wurde, zu vergleichen.
author:
- first_name: Oliver
full_name: Scholle, Oliver
id: '15099'
last_name: Scholle
- first_name: Sara
full_name: Rezat, Sara
id: '58338'
last_name: Rezat
- first_name: Sebastian
full_name: Rezat, Sebastian
id: '31132'
last_name: Rezat
- first_name: Dominik
full_name: Niehus, Dominik
last_name: Niehus
citation:
ama: 'Scholle O, Rezat S, Rezat S, Niehus D. AnnoPy – Potenziale von KI-basierter
Learning Analytics für die Förderung wissenschaftlicher Textkompetenz. In: Leschke
J, Queckenberg R, Persike M, eds. Learning Analytics, Artificial Intelligence
und Data Mining in der Hochschulbildung: Beiträge zur Learning AID 2025. transcript;
2026:171–182. doi:10.14361/9783839458761'
apa: 'Scholle, O., Rezat, S., Rezat, S., & Niehus, D. (2026). AnnoPy – Potenziale
von KI-basierter Learning Analytics für die Förderung wissenschaftlicher Textkompetenz.
In J. Leschke, R. Queckenberg, & M. Persike (Eds.), Learning Analytics,
Artificial Intelligence und Data Mining in der Hochschulbildung: Beiträge zur
Learning AID 2025 (pp. 171–182). transcript. https://doi.org/10.14361/9783839458761'
bibtex: '@inbook{Scholle_Rezat_Rezat_Niehus_2026, place={Bielefeld}, title={AnnoPy
– Potenziale von KI-basierter Learning Analytics für die Förderung wissenschaftlicher
Textkompetenz}, DOI={10.14361/9783839458761},
booktitle={Learning Analytics, Artificial Intelligence und Data Mining in der
Hochschulbildung: Beiträge zur Learning AID 2025}, publisher={transcript}, author={Scholle,
Oliver and Rezat, Sara and Rezat, Sebastian and Niehus, Dominik}, editor={Leschke,
Jonas and Queckenberg, Robert and Persike, Malte}, year={2026}, pages={171–182}
}'
chicago: 'Scholle, Oliver, Sara Rezat, Sebastian Rezat, and Dominik Niehus. “AnnoPy
– Potenziale von KI-basierter Learning Analytics für die Förderung wissenschaftlicher
Textkompetenz.” In Learning Analytics, Artificial Intelligence und Data Mining
in der Hochschulbildung: Beiträge zur Learning AID 2025, edited by Jonas Leschke,
Robert Queckenberg, and Malte Persike, 171–182. Bielefeld: transcript, 2026. https://doi.org/10.14361/9783839458761.'
ieee: 'O. Scholle, S. Rezat, S. Rezat, and D. Niehus, “AnnoPy – Potenziale von KI-basierter
Learning Analytics für die Förderung wissenschaftlicher Textkompetenz,” in Learning
Analytics, Artificial Intelligence und Data Mining in der Hochschulbildung: Beiträge
zur Learning AID 2025, J. Leschke, R. Queckenberg, and M. Persike, Eds. Bielefeld:
transcript, 2026, pp. 171–182.'
mla: 'Scholle, Oliver, et al. “AnnoPy – Potenziale von KI-basierter Learning Analytics
für die Förderung wissenschaftlicher Textkompetenz.” Learning Analytics, Artificial
Intelligence und Data Mining in der Hochschulbildung: Beiträge zur Learning AID
2025, edited by Jonas Leschke et al., transcript, 2026, pp. 171–182, doi:10.14361/9783839458761.'
short: 'O. Scholle, S. Rezat, S. Rezat, D. Niehus, in: J. Leschke, R. Queckenberg,
M. Persike (Eds.), Learning Analytics, Artificial Intelligence und Data Mining
in der Hochschulbildung: Beiträge zur Learning AID 2025, transcript, Bielefeld,
2026, pp. 171–182.'
date_created: 2026-08-25T07:09:25Z
date_updated: 2026-08-25T07:09:44Z
department:
- _id: '360'
doi: 10.14361/9783839458761
editor:
- first_name: Jonas
full_name: Leschke, Jonas
last_name: Leschke
- first_name: Robert
full_name: Queckenberg, Robert
last_name: Queckenberg
- first_name: Malte
full_name: Persike, Malte
last_name: Persike
language:
- iso: ger
main_file_link:
- open_access: '1'
url: https://www.transcript-verlag.de/978-3-8376-8045-4/learning-analytics-artificial-intelligence-und-data-mining-in-der-hochschulbildung/?number=978-3-8394-5876-1
oa: '1'
page: 171–182
place: Bielefeld
publication: 'Learning Analytics, Artificial Intelligence und Data Mining in der Hochschulbildung:
Beiträge zur Learning AID 2025'
publication_identifier:
isbn:
- 978-3-8376-8045-4
publication_status: published
publisher: transcript
quality_controlled: '1'
status: public
title: AnnoPy – Potenziale von KI-basierter Learning Analytics für die Förderung wissenschaftlicher
Textkompetenz
type: book_chapter
user_id: '31132'
year: '2026'
...