---
_id: '37474'
abstract:
- lang: eng
text: |-
Abstract
Due to the COVID-19 crisis, many courses have been offered digitally. Using data from n = 1,173 business students participating in a preparatory mathematics course at a German university that covered the same content as in 2018, 2019 and 2020, we examine how students’ participation and the effect of the preparatory course changed. The data show that the participation rate has fallen slightly, but students’ participation is rather similar to preceding years. Interestingly, students have participated more intensively. There are clear signs of dishonesty in the self-test (use of a calculator) and significant changes in predictors of performance. In particular, the effect of students’ engagement in the course on their performance substantially increased. Further, we found a gender gap in performance affecting women. Finally, the data show that digital courses can be as effective as on-campus courses.
author:
- first_name: Stefan
full_name: Büchele, Stefan
last_name: Büchele
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
- first_name: Elisa
full_name: Lankeit, Elisa
last_name: Lankeit
citation:
ama: 'Büchele S, Liebendörfer M, Lankeit E. Increasing the effect of a remedial
mathematics course by switching to an online format during the COVID-19 crisis:
evidence from a German university. Teaching Mathematics and its Applications:
An International Journal of the IMA. 2021;40(4):478-496. doi:10.1093/teamat/hrab013'
apa: 'Büchele, S., Liebendörfer, M., & Lankeit, E. (2021). Increasing the effect
of a remedial mathematics course by switching to an online format during the COVID-19
crisis: evidence from a German university. Teaching Mathematics and Its Applications:
An International Journal of the IMA, 40(4), 478–496. https://doi.org/10.1093/teamat/hrab013'
bibtex: '@article{Büchele_Liebendörfer_Lankeit_2021, title={Increasing the effect
of a remedial mathematics course by switching to an online format during the COVID-19
crisis: evidence from a German university}, volume={40}, DOI={10.1093/teamat/hrab013},
number={4}, journal={Teaching Mathematics and its Applications: An International
Journal of the IMA}, publisher={Oxford University Press (OUP)}, author={Büchele,
Stefan and Liebendörfer, Michael and Lankeit, Elisa}, year={2021}, pages={478–496}
}'
chicago: 'Büchele, Stefan, Michael Liebendörfer, and Elisa Lankeit. “Increasing
the Effect of a Remedial Mathematics Course by Switching to an Online Format during
the COVID-19 Crisis: Evidence from a German University.” Teaching Mathematics
and Its Applications: An International Journal of the IMA 40, no. 4 (2021):
478–96. https://doi.org/10.1093/teamat/hrab013.'
ieee: 'S. Büchele, M. Liebendörfer, and E. Lankeit, “Increasing the effect of a
remedial mathematics course by switching to an online format during the COVID-19
crisis: evidence from a German university,” Teaching Mathematics and its Applications:
An International Journal of the IMA, vol. 40, no. 4, pp. 478–496, 2021, doi:
10.1093/teamat/hrab013.'
mla: 'Büchele, Stefan, et al. “Increasing the Effect of a Remedial Mathematics Course
by Switching to an Online Format during the COVID-19 Crisis: Evidence from a German
University.” Teaching Mathematics and Its Applications: An International Journal
of the IMA, vol. 40, no. 4, Oxford University Press (OUP), 2021, pp. 478–96,
doi:10.1093/teamat/hrab013.'
short: 'S. Büchele, M. Liebendörfer, E. Lankeit, Teaching Mathematics and Its Applications:
An International Journal of the IMA 40 (2021) 478–496.'
date_created: 2023-01-18T22:23:50Z
date_updated: 2023-01-18T22:47:00Z
department:
- _id: '10'
doi: 10.1093/teamat/hrab013
intvolume: ' 40'
issue: '4'
keyword:
- Education
- General Mathematics
language:
- iso: eng
page: 478-496
publication: 'Teaching Mathematics and its Applications: An International Journal
of the IMA'
publication_identifier:
issn:
- 0268-3679
- 1471-6976
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: 'Increasing the effect of a remedial mathematics course by switching to an
online format during the COVID-19 crisis: evidence from a German university'
type: journal_article
user_id: '30933'
volume: 40
year: '2021'
...
---
_id: '37473'
abstract:
- lang: eng
text: |-
Abstract
We investigated university students’ study of mathematics in the digital setting context of the COVID-19 pandemic. We gathered data from a survey of 89 students enrolled in a ‘Linear Algebra 1’ course including affective variables, learning strategies, social relatedness and resources considered useful. The results indicate students’ high effort and self-regulation and a high variation in affective characteristics and social relatedness. All the traditional aspects of mathematics teaching (lecture, tutorials and lecture notes) were rated as particularly useful. In addition, the videos from external resources were rated as equally useful as the teaching team’s videos. In contrast, traditional literature such as textbooks was rarely considered useful. The most useful resource rated was communication with peers, underlining the important role of social learning despite fully digital learning environments. Finally, a cluster analysis based on students’ rated usefulness of the resources led to three different user-types. Whereas the ‘digitals’ find the external digital resources very useful (videos, webpages, etc.), the ‘traditionalists’ rate the digitalized traditional resources best (lecture, tutorials, etc.). All resources receive uniformly good ratings from a third group (‘all resource users’). We reflect on our findings in light of the pandemic and describe directions for future research.
author:
- first_name: Leander
full_name: Kempen, Leander
last_name: Kempen
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
citation:
ama: 'Kempen L, Liebendörfer M. University students’ fully digital study of mathematics:
an identification of student-groups via their resources usage and a characterization
by personal and affective characteristics. Teaching Mathematics and its Applications:
An International Journal of the IMA. 2021;40(4):436-454. doi:10.1093/teamat/hrab020'
apa: 'Kempen, L., & Liebendörfer, M. (2021). University students’ fully digital
study of mathematics: an identification of student-groups via their resources
usage and a characterization by personal and affective characteristics. Teaching
Mathematics and Its Applications: An International Journal of the IMA, 40(4),
436–454. https://doi.org/10.1093/teamat/hrab020'
bibtex: '@article{Kempen_Liebendörfer_2021, title={University students’ fully digital
study of mathematics: an identification of student-groups via their resources
usage and a characterization by personal and affective characteristics}, volume={40},
DOI={10.1093/teamat/hrab020},
number={4}, journal={Teaching Mathematics and its Applications: An International
Journal of the IMA}, publisher={Oxford University Press (OUP)}, author={Kempen,
Leander and Liebendörfer, Michael}, year={2021}, pages={436–454} }'
chicago: 'Kempen, Leander, and Michael Liebendörfer. “University Students’ Fully
Digital Study of Mathematics: An Identification of Student-Groups via Their Resources
Usage and a Characterization by Personal and Affective Characteristics.” Teaching
Mathematics and Its Applications: An International Journal of the IMA 40,
no. 4 (2021): 436–54. https://doi.org/10.1093/teamat/hrab020.'
ieee: 'L. Kempen and M. Liebendörfer, “University students’ fully digital study
of mathematics: an identification of student-groups via their resources usage
and a characterization by personal and affective characteristics,” Teaching
Mathematics and its Applications: An International Journal of the IMA, vol.
40, no. 4, pp. 436–454, 2021, doi: 10.1093/teamat/hrab020.'
mla: 'Kempen, Leander, and Michael Liebendörfer. “University Students’ Fully Digital
Study of Mathematics: An Identification of Student-Groups via Their Resources
Usage and a Characterization by Personal and Affective Characteristics.” Teaching
Mathematics and Its Applications: An International Journal of the IMA, vol.
40, no. 4, Oxford University Press (OUP), 2021, pp. 436–54, doi:10.1093/teamat/hrab020.'
short: 'L. Kempen, M. Liebendörfer, Teaching Mathematics and Its Applications: An
International Journal of the IMA 40 (2021) 436–454.'
date_created: 2023-01-18T22:23:40Z
date_updated: 2023-01-18T22:49:44Z
department:
- _id: '10'
doi: 10.1093/teamat/hrab020
intvolume: ' 40'
issue: '4'
keyword:
- Education
- General Mathematics
language:
- iso: eng
page: 436-454
publication: 'Teaching Mathematics and its Applications: An International Journal
of the IMA'
publication_identifier:
issn:
- 0268-3679
- 1471-6976
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: 'University students’ fully digital study of mathematics: an identification
of student-groups via their resources usage and a characterization by personal and
affective characteristics'
type: journal_article
user_id: '30933'
volume: 40
year: '2021'
...
---
_id: '37649'
abstract:
- lang: eng
text: "Abstract\r\n Let $V_k$ denote
Dunkl’s intertwining operator associated with some root system $R$ and multiplicity
$k$. For two multiplicities $k, k^{\\prime }$ on $R$, we study the intertwiner
$V_{k^{\\prime },k} = V_{k^{\\prime }}\\circ V_k^{-1}$ between Dunkl operators
with multiplicities $k$ and $k^{\\prime }.$ It has been a long-standing conjecture
that $V_{k^{\\prime },k}$ is positive if $k^{\\prime } \\geq k \\geq 0.$ We disprove
this conjecture by constructing counterexamples for root system $B_n$. This matter
is closely related to the existence of Sonine-type integral representations between
Dunkl kernels and Bessel functions with different multiplicities. In our examples,
such Sonine formulas do not exist. As a consequence, we obtain necessary conditions
on Sonine formulas for Heckman–Opdam hypergeometric functions of type $BC_n$ and
conditions for positive branching coefficients between multivariable Jacobi polynomials."
author:
- first_name: Margit
full_name: Rösler, Margit
id: '37390'
last_name: Rösler
- first_name: Michael
full_name: Voit, Michael
last_name: Voit
citation:
ama: Rösler M, Voit M. Sonine Formulas and Intertwining Operators in Dunkl Theory.
International Mathematics Research Notices. 2021;2021(17):13202-13230.
doi:10.1093/imrn/rnz313
apa: Rösler, M., & Voit, M. (2021). Sonine Formulas and Intertwining Operators
in Dunkl Theory. International Mathematics Research Notices, 2021(17),
13202–13230. https://doi.org/10.1093/imrn/rnz313
bibtex: '@article{Rösler_Voit_2021, title={Sonine Formulas and Intertwining Operators
in Dunkl Theory}, volume={2021}, DOI={10.1093/imrn/rnz313},
number={17}, journal={International Mathematics Research Notices}, publisher={Oxford
University Press (OUP)}, author={Rösler, Margit and Voit, Michael}, year={2021},
pages={13202–13230} }'
chicago: 'Rösler, Margit, and Michael Voit. “Sonine Formulas and Intertwining Operators
in Dunkl Theory.” International Mathematics Research Notices 2021, no.
17 (2021): 13202–30. https://doi.org/10.1093/imrn/rnz313.'
ieee: 'M. Rösler and M. Voit, “Sonine Formulas and Intertwining Operators in Dunkl
Theory,” International Mathematics Research Notices, vol. 2021, no. 17,
pp. 13202–13230, 2021, doi: 10.1093/imrn/rnz313.'
mla: Rösler, Margit, and Michael Voit. “Sonine Formulas and Intertwining Operators
in Dunkl Theory.” International Mathematics Research Notices, vol. 2021,
no. 17, Oxford University Press (OUP), 2021, pp. 13202–30, doi:10.1093/imrn/rnz313.
short: M. Rösler, M. Voit, International Mathematics Research Notices 2021 (2021)
13202–13230.
date_created: 2023-01-20T08:50:07Z
date_updated: 2023-01-24T22:16:12Z
doi: 10.1093/imrn/rnz313
intvolume: ' 2021'
issue: '17'
keyword:
- General Mathematics
language:
- iso: eng
page: 13202-13230
publication: International Mathematics Research Notices
publication_identifier:
issn:
- 1073-7928
- 1687-0247
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Sonine Formulas and Intertwining Operators in Dunkl Theory
type: journal_article
user_id: '37390'
volume: 2021
year: '2021'
...
---
_id: '37659'
author:
- first_name: Margit
full_name: Rösler, Margit
id: '37390'
last_name: Rösler
- first_name: Michael
full_name: Voit, Michael
last_name: Voit
citation:
ama: Rösler M, Voit M. Positive intertwiners for Bessel functions of type B. Proceedings
of the American Mathematical Society. 2021;149(3):1151-1163. doi:10.1090/proc/15312
apa: Rösler, M., & Voit, M. (2021). Positive intertwiners for Bessel functions
of type B. Proceedings of the American Mathematical Society, 149(3),
1151–1163. https://doi.org/10.1090/proc/15312
bibtex: '@article{Rösler_Voit_2021, title={Positive intertwiners for Bessel functions
of type B}, volume={149}, DOI={10.1090/proc/15312},
number={3}, journal={Proceedings of the American Mathematical Society}, publisher={American
Mathematical Society (AMS)}, author={Rösler, Margit and Voit, Michael}, year={2021},
pages={1151–1163} }'
chicago: 'Rösler, Margit, and Michael Voit. “Positive Intertwiners for Bessel Functions
of Type B.” Proceedings of the American Mathematical Society 149, no. 3
(2021): 1151–63. https://doi.org/10.1090/proc/15312.'
ieee: 'M. Rösler and M. Voit, “Positive intertwiners for Bessel functions of type
B,” Proceedings of the American Mathematical Society, vol. 149, no. 3,
pp. 1151–1163, 2021, doi: 10.1090/proc/15312.'
mla: Rösler, Margit, and Michael Voit. “Positive Intertwiners for Bessel Functions
of Type B.” Proceedings of the American Mathematical Society, vol. 149,
no. 3, American Mathematical Society (AMS), 2021, pp. 1151–63, doi:10.1090/proc/15312.
short: M. Rösler, M. Voit, Proceedings of the American Mathematical Society 149
(2021) 1151–1163.
date_created: 2023-01-20T09:22:12Z
date_updated: 2023-01-24T22:16:16Z
department:
- _id: '555'
doi: 10.1090/proc/15312
intvolume: ' 149'
issue: '3'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
page: 1151-1163
publication: Proceedings of the American Mathematical Society
publication_identifier:
issn:
- 0002-9939
- 1088-6826
publication_status: published
publisher: American Mathematical Society (AMS)
status: public
title: Positive intertwiners for Bessel functions of type B
type: journal_article
user_id: '37390'
volume: 149
year: '2021'
...
---
_id: '34840'
abstract:
- lang: eng
text: 'In this paper we obtain a complete list of imaginary n-quadratic fields with
class groups of exponent 3 and 5 under ERH for every positive integer n where
an n-quadratic field is a number field of degree 2ⁿ represented as the composite
of n quadratic fields. '
author:
- first_name: Jürgen
full_name: Klüners, Jürgen
id: '21202'
last_name: Klüners
- first_name: Toru
full_name: Komatsu, Toru
last_name: Komatsu
citation:
ama: Klüners J, Komatsu T. Imaginary multiquadratic number fields with class group
of exponent $3$ and $5$. Mathematics of Computation. 2021;90(329):1483-1497.
doi:10.1090/mcom/3609
apa: Klüners, J., & Komatsu, T. (2021). Imaginary multiquadratic number fields
with class group of exponent $3$ and $5$. Mathematics of Computation, 90(329),
1483–1497. https://doi.org/10.1090/mcom/3609
bibtex: '@article{Klüners_Komatsu_2021, title={Imaginary multiquadratic number fields
with class group of exponent $3$ and $5$}, volume={90}, DOI={10.1090/mcom/3609},
number={329}, journal={Mathematics of Computation}, publisher={American Mathematical
Society (AMS)}, author={Klüners, Jürgen and Komatsu, Toru}, year={2021}, pages={1483–1497}
}'
chicago: 'Klüners, Jürgen, and Toru Komatsu. “Imaginary Multiquadratic Number Fields
with Class Group of Exponent $3$ and $5$.” Mathematics of Computation 90,
no. 329 (2021): 1483–97. https://doi.org/10.1090/mcom/3609.'
ieee: 'J. Klüners and T. Komatsu, “Imaginary multiquadratic number fields with class
group of exponent $3$ and $5$,” Mathematics of Computation, vol. 90, no.
329, pp. 1483–1497, 2021, doi: 10.1090/mcom/3609.'
mla: Klüners, Jürgen, and Toru Komatsu. “Imaginary Multiquadratic Number Fields
with Class Group of Exponent $3$ and $5$.” Mathematics of Computation,
vol. 90, no. 329, American Mathematical Society (AMS), 2021, pp. 1483–97, doi:10.1090/mcom/3609.
short: J. Klüners, T. Komatsu, Mathematics of Computation 90 (2021) 1483–1497.
date_created: 2022-12-22T10:48:44Z
date_updated: 2023-03-06T08:57:45Z
department:
- _id: '102'
doi: 10.1090/mcom/3609
external_id:
arxiv:
- 2004.03308v2
intvolume: ' 90'
issue: '329'
keyword:
- Applied Mathematics
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 1483-1497
publication: Mathematics of Computation
publication_identifier:
issn:
- 0025-5718
- 1088-6842
publication_status: published
publisher: American Mathematical Society (AMS)
status: public
title: Imaginary multiquadratic number fields with class group of exponent $3$ and
$5$
type: journal_article
user_id: '93826'
volume: 90
year: '2021'
...
---
_id: '34912'
abstract:
- lang: eng
text: 'Let E be an ordinary elliptic curve over a finite field and g be a positive
integer. Under some technical assumptions, we give an algorithm to span the isomorphism
classes of principally polarized abelian varieties in the isogeny class of E⁹
. The varieties are first described as hermitian lattices over (not necessarily
maximal) quadratic orders and then geometrically in terms of their algebraic theta
null point. We also show how to algebraically compute Siegel modular forms of
even weight given as polynomials in the theta constants by a careful choice of
an affine lift of the theta null point. We then use these results to give an algebraic
computation of Serre’s obstruction for principally polarized abelian threefolds
isogenous to E³ and of the Igusa modular form in dimension 4. We illustrate our
algorithms with examples of curves with many rational points over finite fields. '
author:
- first_name: Markus
full_name: Kirschmer, Markus
id: '82258'
last_name: Kirschmer
- first_name: Fabien
full_name: Narbonne, Fabien
last_name: Narbonne
- first_name: Christophe
full_name: Ritzenthaler, Christophe
last_name: Ritzenthaler
- first_name: Damien
full_name: Robert, Damien
last_name: Robert
citation:
ama: Kirschmer M, Narbonne F, Ritzenthaler C, Robert D. Spanning the isogeny class
of a power of an elliptic curve. Mathematics of Computation. 2021;91(333):401-449.
doi:10.1090/mcom/3672
apa: Kirschmer, M., Narbonne, F., Ritzenthaler, C., & Robert, D. (2021). Spanning
the isogeny class of a power of an elliptic curve. Mathematics of Computation,
91(333), 401–449. https://doi.org/10.1090/mcom/3672
bibtex: '@article{Kirschmer_Narbonne_Ritzenthaler_Robert_2021, title={Spanning the
isogeny class of a power of an elliptic curve}, volume={91}, DOI={10.1090/mcom/3672},
number={333}, journal={Mathematics of Computation}, publisher={American Mathematical
Society (AMS)}, author={Kirschmer, Markus and Narbonne, Fabien and Ritzenthaler,
Christophe and Robert, Damien}, year={2021}, pages={401–449} }'
chicago: 'Kirschmer, Markus, Fabien Narbonne, Christophe Ritzenthaler, and Damien
Robert. “Spanning the Isogeny Class of a Power of an Elliptic Curve.” Mathematics
of Computation 91, no. 333 (2021): 401–49. https://doi.org/10.1090/mcom/3672.'
ieee: 'M. Kirschmer, F. Narbonne, C. Ritzenthaler, and D. Robert, “Spanning the
isogeny class of a power of an elliptic curve,” Mathematics of Computation,
vol. 91, no. 333, pp. 401–449, 2021, doi: 10.1090/mcom/3672.'
mla: Kirschmer, Markus, et al. “Spanning the Isogeny Class of a Power of an Elliptic
Curve.” Mathematics of Computation, vol. 91, no. 333, American Mathematical
Society (AMS), 2021, pp. 401–49, doi:10.1090/mcom/3672.
short: M. Kirschmer, F. Narbonne, C. Ritzenthaler, D. Robert, Mathematics of Computation
91 (2021) 401–449.
date_created: 2022-12-23T11:02:02Z
date_updated: 2023-04-04T07:52:43Z
department:
- _id: '102'
doi: 10.1090/mcom/3672
intvolume: ' 91'
issue: '333'
keyword:
- Applied Mathematics
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 401-449
publication: Mathematics of Computation
publication_identifier:
issn:
- 0025-5718
- 1088-6842
publication_status: published
publisher: American Mathematical Society (AMS)
status: public
title: Spanning the isogeny class of a power of an elliptic curve
type: journal_article
user_id: '93826'
volume: 91
year: '2021'
...
---
_id: '34673'
article_number: '96'
author:
- first_name: Tobias
full_name: Black, Tobias
id: '23686'
last_name: Black
orcid: 0000-0001-9963-0800
- first_name: Mario
full_name: Fuest, Mario
last_name: Fuest
- first_name: Johannes
full_name: Lankeit, Johannes
last_name: Lankeit
citation:
ama: Black T, Fuest M, Lankeit J. Relaxed parameter conditions for chemotactic collapse
in logistic-type parabolic–elliptic Keller–Segel systems. Zeitschrift für angewandte
Mathematik und Physik. 2021;72(3). doi:10.1007/s00033-021-01524-8
apa: Black, T., Fuest, M., & Lankeit, J. (2021). Relaxed parameter conditions
for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems.
Zeitschrift Für Angewandte Mathematik Und Physik, 72(3), Article
96. https://doi.org/10.1007/s00033-021-01524-8
bibtex: '@article{Black_Fuest_Lankeit_2021, title={Relaxed parameter conditions
for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems},
volume={72}, DOI={10.1007/s00033-021-01524-8},
number={396}, journal={Zeitschrift für angewandte Mathematik und Physik}, publisher={Springer
Science and Business Media LLC}, author={Black, Tobias and Fuest, Mario and Lankeit,
Johannes}, year={2021} }'
chicago: Black, Tobias, Mario Fuest, and Johannes Lankeit. “Relaxed Parameter Conditions
for Chemotactic Collapse in Logistic-Type Parabolic–Elliptic Keller–Segel Systems.”
Zeitschrift Für Angewandte Mathematik Und Physik 72, no. 3 (2021). https://doi.org/10.1007/s00033-021-01524-8.
ieee: 'T. Black, M. Fuest, and J. Lankeit, “Relaxed parameter conditions for chemotactic
collapse in logistic-type parabolic–elliptic Keller–Segel systems,” Zeitschrift
für angewandte Mathematik und Physik, vol. 72, no. 3, Art. no. 96, 2021, doi:
10.1007/s00033-021-01524-8.'
mla: Black, Tobias, et al. “Relaxed Parameter Conditions for Chemotactic Collapse
in Logistic-Type Parabolic–Elliptic Keller–Segel Systems.” Zeitschrift Für
Angewandte Mathematik Und Physik, vol. 72, no. 3, 96, Springer Science and
Business Media LLC, 2021, doi:10.1007/s00033-021-01524-8.
short: T. Black, M. Fuest, J. Lankeit, Zeitschrift Für Angewandte Mathematik Und
Physik 72 (2021).
date_created: 2022-12-21T09:48:36Z
date_updated: 2023-07-10T11:39:23Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1007/s00033-021-01524-8
intvolume: ' 72'
issue: '3'
keyword:
- Applied Mathematics
- General Physics and Astronomy
- General Mathematics
language:
- iso: eng
publication: Zeitschrift für angewandte Mathematik und Physik
publication_identifier:
issn:
- 0044-2275
- 1420-9039
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic
Keller–Segel systems
type: journal_article
user_id: '23686'
volume: 72
year: '2021'
...
---
_id: '34675'
article_number: '135'
author:
- first_name: Tobias
full_name: Black, Tobias
id: '23686'
last_name: Black
orcid: 0000-0001-9963-0800
- first_name: Chunyan
full_name: Wu, Chunyan
last_name: Wu
citation:
ama: 'Black T, Wu C. Prescribed signal concentration on the boundary: Weak solvability
in a chemotaxis-Stokes system with proliferation. Zeitschrift für angewandte
Mathematik und Physik. 2021;72(4). doi:10.1007/s00033-021-01565-z'
apa: 'Black, T., & Wu, C. (2021). Prescribed signal concentration on the boundary:
Weak solvability in a chemotaxis-Stokes system with proliferation. Zeitschrift
Für Angewandte Mathematik Und Physik, 72(4), Article 135. https://doi.org/10.1007/s00033-021-01565-z'
bibtex: '@article{Black_Wu_2021, title={Prescribed signal concentration on the boundary:
Weak solvability in a chemotaxis-Stokes system with proliferation}, volume={72},
DOI={10.1007/s00033-021-01565-z},
number={4135}, journal={Zeitschrift für angewandte Mathematik und Physik}, publisher={Springer
Science and Business Media LLC}, author={Black, Tobias and Wu, Chunyan}, year={2021}
}'
chicago: 'Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the
Boundary: Weak Solvability in a Chemotaxis-Stokes System with Proliferation.”
Zeitschrift Für Angewandte Mathematik Und Physik 72, no. 4 (2021). https://doi.org/10.1007/s00033-021-01565-z.'
ieee: 'T. Black and C. Wu, “Prescribed signal concentration on the boundary: Weak
solvability in a chemotaxis-Stokes system with proliferation,” Zeitschrift
für angewandte Mathematik und Physik, vol. 72, no. 4, Art. no. 135, 2021,
doi: 10.1007/s00033-021-01565-z.'
mla: 'Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary:
Weak Solvability in a Chemotaxis-Stokes System with Proliferation.” Zeitschrift
Für Angewandte Mathematik Und Physik, vol. 72, no. 4, 135, Springer Science
and Business Media LLC, 2021, doi:10.1007/s00033-021-01565-z.'
short: T. Black, C. Wu, Zeitschrift Für Angewandte Mathematik Und Physik 72 (2021).
date_created: 2022-12-21T09:48:45Z
date_updated: 2023-07-10T11:39:30Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1007/s00033-021-01565-z
intvolume: ' 72'
issue: '4'
keyword:
- Applied Mathematics
- General Physics and Astronomy
- General Mathematics
language:
- iso: eng
publication: Zeitschrift für angewandte Mathematik und Physik
publication_identifier:
issn:
- 0044-2275
- 1420-9039
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: 'Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes
system with proliferation'
type: journal_article
user_id: '23686'
volume: 72
year: '2021'
...
---
_id: '35952'
alternative_title:
- Zwei Fallbeispiele aus dem Design-Based Research Projekt NeGeL. Two case studies
from the design-based research project NeGeL
author:
- first_name: Desiree
full_name: Daniel-Söltenfuß, Desiree
id: '10186'
last_name: Daniel-Söltenfuß
- first_name: Franziska
full_name: Schwabl, Franziska
id: '37157'
last_name: Schwabl
citation:
ama: Daniel-Söltenfuß D, Schwabl F. Selbstreguliertes Lernen im berufsschulischen
Übergangssystem. Zeitschrift für Berufs- und Wirtschaftspädagogik. 2021;117(3):431-460.
doi:10.25162/zbw-2021-0019
apa: Daniel-Söltenfuß, D., & Schwabl, F. (2021). Selbstreguliertes Lernen im
berufsschulischen Übergangssystem. Zeitschrift für Berufs- und Wirtschaftspädagogik,
117(3), 431–460. https://doi.org/10.25162/zbw-2021-0019
bibtex: '@article{Daniel-Söltenfuß_Schwabl_2021, title={Selbstreguliertes Lernen
im berufsschulischen Übergangssystem}, volume={117}, DOI={10.25162/zbw-2021-0019},
number={3}, journal={Zeitschrift für Berufs- und Wirtschaftspädagogik}, publisher={Wissenschaftliche
Verlagsgesellschaft mbH}, author={Daniel-Söltenfuß, Desiree and Schwabl, Franziska},
year={2021}, pages={431–460} }'
chicago: 'Daniel-Söltenfuß, Desiree, and Franziska Schwabl. “Selbstreguliertes Lernen
im berufsschulischen Übergangssystem.” Zeitschrift für Berufs- und Wirtschaftspädagogik
117, no. 3 (2021): 431–60. https://doi.org/10.25162/zbw-2021-0019.'
ieee: 'D. Daniel-Söltenfuß and F. Schwabl, “Selbstreguliertes Lernen im berufsschulischen
Übergangssystem,” Zeitschrift für Berufs- und Wirtschaftspädagogik, vol.
117, no. 3, pp. 431–460, 2021, doi: 10.25162/zbw-2021-0019.'
mla: Daniel-Söltenfuß, Desiree, and Franziska Schwabl. “Selbstreguliertes Lernen
im berufsschulischen Übergangssystem.” Zeitschrift für Berufs- und Wirtschaftspädagogik,
vol. 117, no. 3, Wissenschaftliche Verlagsgesellschaft mbH, 2021, pp. 431–60,
doi:10.25162/zbw-2021-0019.
short: D. Daniel-Söltenfuß, F. Schwabl, Zeitschrift für Berufs- und Wirtschaftspädagogik
117 (2021) 431–460.
date_created: 2023-01-11T09:41:40Z
date_updated: 2023-07-18T08:39:13Z
department:
- _id: '33'
- _id: '208'
doi: 10.25162/zbw-2021-0019
intvolume: ' 117'
issue: '3'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: ger
page: 431-460
publication: Zeitschrift für Berufs- und Wirtschaftspädagogik
publication_identifier:
issn:
- 0172-2875
- 2366-2433
publication_status: published
publisher: Wissenschaftliche Verlagsgesellschaft mbH
status: public
title: Selbstreguliertes Lernen im berufsschulischen Übergangssystem
type: journal_article
user_id: '37157'
volume: 117
year: '2021'
...
---
_id: '46135'
article_number: '2100002'
author:
- first_name: Johannes
full_name: Schall, Johannes
last_name: Schall
- first_name: Marielle
full_name: Deconinck, Marielle
last_name: Deconinck
- first_name: Nikolai
full_name: Bart, Nikolai
last_name: Bart
- first_name: Matthias
full_name: Florian, Matthias
last_name: Florian
- first_name: Martin
full_name: Helversen, Martin
last_name: Helversen
- first_name: Christian
full_name: Dangel, Christian
last_name: Dangel
- first_name: Ronny
full_name: Schmidt, Ronny
last_name: Schmidt
- first_name: Lucas
full_name: Bremer, Lucas
last_name: Bremer
- first_name: Frederik
full_name: Bopp, Frederik
last_name: Bopp
- first_name: Isabell
full_name: Hüllen, Isabell
last_name: Hüllen
- first_name: Christopher
full_name: Gies, Christopher
last_name: Gies
- first_name: Dirk
full_name: Reuter, Dirk
id: '37763'
last_name: Reuter
- first_name: Andreas D.
full_name: Wieck, Andreas D.
last_name: Wieck
- first_name: Sven
full_name: Rodt, Sven
last_name: Rodt
- first_name: Jonathan J.
full_name: Finley, Jonathan J.
last_name: Finley
- first_name: Frank
full_name: Jahnke, Frank
last_name: Jahnke
- first_name: Arne
full_name: Ludwig, Arne
last_name: Ludwig
- first_name: Stephan
full_name: Reitzenstein, Stephan
last_name: Reitzenstein
citation:
ama: Schall J, Deconinck M, Bart N, et al. Bright Electrically Controllable Quantum‐Dot‐Molecule
Devices Fabricated by In Situ Electron‐Beam Lithography. Advanced Quantum Technologies.
2021;4(6). doi:10.1002/qute.202100002
apa: Schall, J., Deconinck, M., Bart, N., Florian, M., Helversen, M., Dangel, C.,
Schmidt, R., Bremer, L., Bopp, F., Hüllen, I., Gies, C., Reuter, D., Wieck, A.
D., Rodt, S., Finley, J. J., Jahnke, F., Ludwig, A., & Reitzenstein, S. (2021).
Bright Electrically Controllable Quantum‐Dot‐Molecule Devices Fabricated by In
Situ Electron‐Beam Lithography. Advanced Quantum Technologies, 4(6),
Article 2100002. https://doi.org/10.1002/qute.202100002
bibtex: '@article{Schall_Deconinck_Bart_Florian_Helversen_Dangel_Schmidt_Bremer_Bopp_Hüllen_et
al._2021, title={Bright Electrically Controllable Quantum‐Dot‐Molecule Devices
Fabricated by In Situ Electron‐Beam Lithography}, volume={4}, DOI={10.1002/qute.202100002},
number={62100002}, journal={Advanced Quantum Technologies}, publisher={Wiley},
author={Schall, Johannes and Deconinck, Marielle and Bart, Nikolai and Florian,
Matthias and Helversen, Martin and Dangel, Christian and Schmidt, Ronny and Bremer,
Lucas and Bopp, Frederik and Hüllen, Isabell and et al.}, year={2021} }'
chicago: Schall, Johannes, Marielle Deconinck, Nikolai Bart, Matthias Florian, Martin
Helversen, Christian Dangel, Ronny Schmidt, et al. “Bright Electrically Controllable
Quantum‐Dot‐Molecule Devices Fabricated by In Situ Electron‐Beam Lithography.”
Advanced Quantum Technologies 4, no. 6 (2021). https://doi.org/10.1002/qute.202100002.
ieee: 'J. Schall et al., “Bright Electrically Controllable Quantum‐Dot‐Molecule
Devices Fabricated by In Situ Electron‐Beam Lithography,” Advanced Quantum
Technologies, vol. 4, no. 6, Art. no. 2100002, 2021, doi: 10.1002/qute.202100002.'
mla: Schall, Johannes, et al. “Bright Electrically Controllable Quantum‐Dot‐Molecule
Devices Fabricated by In Situ Electron‐Beam Lithography.” Advanced Quantum
Technologies, vol. 4, no. 6, 2100002, Wiley, 2021, doi:10.1002/qute.202100002.
short: J. Schall, M. Deconinck, N. Bart, M. Florian, M. Helversen, C. Dangel, R.
Schmidt, L. Bremer, F. Bopp, I. Hüllen, C. Gies, D. Reuter, A.D. Wieck, S. Rodt,
J.J. Finley, F. Jahnke, A. Ludwig, S. Reitzenstein, Advanced Quantum Technologies
4 (2021).
date_created: 2023-07-25T08:45:57Z
date_updated: 2023-07-25T08:46:47Z
department:
- _id: '15'
- _id: '230'
doi: 10.1002/qute.202100002
intvolume: ' 4'
issue: '6'
keyword:
- Electrical and Electronic Engineering
- Computational Theory and Mathematics
- Condensed Matter Physics
- Mathematical Physics
- Nuclear and High Energy Physics
- Electronic
- Optical and Magnetic Materials
- Statistical and Nonlinear Physics
language:
- iso: eng
publication: Advanced Quantum Technologies
publication_identifier:
issn:
- 2511-9044
- 2511-9044
publication_status: published
publisher: Wiley
status: public
title: Bright Electrically Controllable Quantum‐Dot‐Molecule Devices Fabricated by
In Situ Electron‐Beam Lithography
type: journal_article
user_id: '42514'
volume: 4
year: '2021'
...
---
_id: '40250'
author:
- first_name: Mitisha
full_name: Jain, Mitisha
last_name: Jain
- first_name: Uwe
full_name: Gerstmann, Uwe
id: '171'
last_name: Gerstmann
orcid: 0000-0002-4476-223X
- first_name: Wolf Gero
full_name: Schmidt, Wolf Gero
id: '468'
last_name: Schmidt
orcid: 0000-0002-2717-5076
- first_name: Hazem
full_name: Aldahhak, Hazem
last_name: Aldahhak
citation:
ama: Jain M, Gerstmann U, Schmidt WG, Aldahhak H. Adatom mediated adsorption of
<scp>N‐heterocyclic</scp> carbenes on Cu(111)
and Au(111). Journal of Computational Chemistry. 2021;43(6):413-420. doi:10.1002/jcc.26801
apa: Jain, M., Gerstmann, U., Schmidt, W. G., & Aldahhak, H. (2021). Adatom
mediated adsorption of <scp>N‐heterocyclic</scp>
carbenes on Cu(111) and Au(111). Journal of Computational Chemistry,
43(6), 413–420. https://doi.org/10.1002/jcc.26801
bibtex: '@article{Jain_Gerstmann_Schmidt_Aldahhak_2021, title={Adatom mediated adsorption
of <scp>N‐heterocyclic</scp> carbenes on
Cu(111) and Au(111)}, volume={43}, DOI={10.1002/jcc.26801},
number={6}, journal={Journal of Computational Chemistry}, publisher={Wiley}, author={Jain,
Mitisha and Gerstmann, Uwe and Schmidt, Wolf Gero and Aldahhak, Hazem}, year={2021},
pages={413–420} }'
chicago: 'Jain, Mitisha, Uwe Gerstmann, Wolf Gero Schmidt, and Hazem Aldahhak. “Adatom
Mediated Adsorption of <scp>N‐heterocyclic</Scp>
Carbenes on Cu(111) and Au(111).” Journal of Computational Chemistry
43, no. 6 (2021): 413–20. https://doi.org/10.1002/jcc.26801.'
ieee: 'M. Jain, U. Gerstmann, W. G. Schmidt, and H. Aldahhak, “Adatom mediated adsorption
of <scp>N‐heterocyclic</scp> carbenes on
Cu(111) and Au(111),” Journal of Computational Chemistry, vol. 43, no.
6, pp. 413–420, 2021, doi: 10.1002/jcc.26801.'
mla: Jain, Mitisha, et al. “Adatom Mediated Adsorption of <scp>N‐heterocyclic</Scp>
Carbenes on Cu(111) and Au(111).” Journal of Computational Chemistry,
vol. 43, no. 6, Wiley, 2021, pp. 413–20, doi:10.1002/jcc.26801.
short: M. Jain, U. Gerstmann, W.G. Schmidt, H. Aldahhak, Journal of Computational
Chemistry 43 (2021) 413–420.
date_created: 2023-01-26T09:50:26Z
date_updated: 2025-12-05T13:57:51Z
department:
- _id: '15'
- _id: '170'
- _id: '295'
- _id: '230'
- _id: '35'
- _id: '790'
- _id: '27'
doi: 10.1002/jcc.26801
intvolume: ' 43'
issue: '6'
keyword:
- Computational Mathematics
- General Chemistry
language:
- iso: eng
page: 413-420
project:
- _id: '52'
name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication: Journal of Computational Chemistry
publication_identifier:
issn:
- 0192-8651
- 1096-987X
publication_status: published
publisher: Wiley
status: public
title: Adatom mediated adsorption of N‐heterocyclic carbenes
on Cu(111) and Au(111)
type: journal_article
user_id: '16199'
volume: 43
year: '2021'
...
---
_id: '53333'
author:
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Winkler M. $L^1$ solutions to parabolic Keller-Segel systems involving arbitrary
superlinear degradation. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE.
Published online 2021:141-172. doi:10.2422/2036-2145.202005_016
apa: Winkler, M. (2021). $L^1$ solutions to parabolic Keller-Segel systems involving
arbitrary superlinear degradation. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE
DI SCIENZE, 141–172. https://doi.org/10.2422/2036-2145.202005_016
bibtex: '@article{Winkler_2021, title={$L^1$ solutions to parabolic Keller-Segel
systems involving arbitrary superlinear degradation}, DOI={10.2422/2036-2145.202005_016},
journal={ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE}, publisher={Scuola
Normale Superiore - Edizioni della Normale}, author={Winkler, Michael}, year={2021},
pages={141–172} }'
chicago: Winkler, Michael. “$L^1$ Solutions to Parabolic Keller-Segel Systems Involving
Arbitrary Superlinear Degradation.” ANNALI SCUOLA NORMALE SUPERIORE - CLASSE
DI SCIENZE, 2021, 141–72. https://doi.org/10.2422/2036-2145.202005_016.
ieee: 'M. Winkler, “$L^1$ solutions to parabolic Keller-Segel systems involving
arbitrary superlinear degradation,” ANNALI SCUOLA NORMALE SUPERIORE - CLASSE
DI SCIENZE, pp. 141–172, 2021, doi: 10.2422/2036-2145.202005_016.'
mla: Winkler, Michael. “$L^1$ Solutions to Parabolic Keller-Segel Systems Involving
Arbitrary Superlinear Degradation.” ANNALI SCUOLA NORMALE SUPERIORE - CLASSE
DI SCIENZE, Scuola Normale Superiore - Edizioni della Normale, 2021, pp. 141–72,
doi:10.2422/2036-2145.202005_016.
short: M. Winkler, ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (2021) 141–172.
date_created: 2024-04-07T12:45:49Z
date_updated: 2025-12-18T20:15:27Z
doi: 10.2422/2036-2145.202005_016
keyword:
- Mathematics (miscellaneous)
- Theoretical Computer Science
language:
- iso: eng
page: 141-172
publication: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
publication_identifier:
issn:
- 2036-2145
- 0391-173X
publication_status: published
publisher: Scuola Normale Superiore - Edizioni della Normale
status: public
title: $L^1$ solutions to parabolic Keller-Segel systems involving arbitrary superlinear
degradation
type: journal_article
user_id: '31496'
year: '2021'
...
---
_id: '33262'
abstract:
- lang: eng
text: The authors of Berg et al. [J. Algebra 348 (2011) 446–461] provide an algorithm
for finding a complete system of primitive orthogonal idempotents for CM, where
M is any finite R-trivial monoid. Their method relies on a technical result stating
that R-trivial monoid are equivalent to so-called weakly ordered monoids. We provide
an alternative algorithm, based only on the simple observation that an R-trivial
monoid may be realized by upper triangular matrices. This approach is inspired
by results in the field of coupled cell network dynamical systems, where L-trivial
monoids (the opposite notion) correspond to so-called feed-forward networks. We
first show that our algorithm works for ZM, after which we prove that it also
works for RM where R is an arbitrary ring with a known complete system of primitive
orthogonal idempotents. In particular, our algorithm works if R is any field.
In this respect our result constitutes a considerable generalization of the results
in Berg et al. [J. Algebra 348 (2011) 446–461]. Moreover, the system of idempotents
for RM is obtained from the one our algorithm yields for ZM in a straightforward
manner. In other words, for any finite R-trivial monoid M our algorithm only has
to be performed for ZM, after which a system of idempotents follows for any ring
with a given system of idempotents.
author:
- first_name: Eddie
full_name: Nijholt, Eddie
last_name: Nijholt
- first_name: Bob
full_name: Rink, Bob
last_name: Rink
- first_name: Sören
full_name: Schwenker, Sören
id: '97359'
last_name: Schwenker
orcid: 0000-0002-8054-2058
citation:
ama: Nijholt E, Rink B, Schwenker S. A new algorithm for computing idempotents of
ℛ-trivial monoids. Journal of Algebra and Its Applications. 2020;20(12).
doi:10.1142/s0219498821502273
apa: Nijholt, E., Rink, B., & Schwenker, S. (2020). A new algorithm for computing
idempotents of ℛ-trivial monoids. Journal of Algebra and Its Applications,
20(12). https://doi.org/10.1142/s0219498821502273
bibtex: '@article{Nijholt_Rink_Schwenker_2020, title={A new algorithm for computing
idempotents of ℛ-trivial monoids}, volume={20}, DOI={10.1142/s0219498821502273},
number={12}, journal={Journal of Algebra and Its Applications}, publisher={World
Scientific Pub Co Pte Ltd}, author={Nijholt, Eddie and Rink, Bob and Schwenker,
Sören}, year={2020} }'
chicago: Nijholt, Eddie, Bob Rink, and Sören Schwenker. “A New Algorithm for Computing
Idempotents of ℛ-Trivial Monoids.” Journal of Algebra and Its Applications
20, no. 12 (2020). https://doi.org/10.1142/s0219498821502273.
ieee: 'E. Nijholt, B. Rink, and S. Schwenker, “A new algorithm for computing idempotents
of ℛ-trivial monoids,” Journal of Algebra and Its Applications, vol. 20,
no. 12, 2020, doi: 10.1142/s0219498821502273.'
mla: Nijholt, Eddie, et al. “A New Algorithm for Computing Idempotents of ℛ-Trivial
Monoids.” Journal of Algebra and Its Applications, vol. 20, no. 12, World
Scientific Pub Co Pte Ltd, 2020, doi:10.1142/s0219498821502273.
short: E. Nijholt, B. Rink, S. Schwenker, Journal of Algebra and Its Applications
20 (2020).
date_created: 2022-09-06T11:37:00Z
date_updated: 2022-09-07T08:35:24Z
doi: 10.1142/s0219498821502273
extern: '1'
external_id:
arxiv:
- '1906.02844'
intvolume: ' 20'
issue: '12'
keyword:
- Applied Mathematics
- Algebra and Number Theory
language:
- iso: eng
publication: Journal of Algebra and Its Applications
publication_identifier:
issn:
- 0219-4988
- 1793-6829
publication_status: published
publisher: World Scientific Pub Co Pte Ltd
status: public
title: A new algorithm for computing idempotents of ℛ-trivial monoids
type: journal_article
user_id: '97359'
volume: 20
year: '2020'
...
---
_id: '45954'
abstract:
- lang: eng
text: "Abstract\r\n $L^2$ norm error
estimates of semi- and full discretizations of wave equations with dynamic boundary
conditions, using bulk–surface finite elements and Runge–Kutta methods, are studied.
The analysis rests on an abstract formulation and error estimates, via energy
techniques, within this abstract setting. Four prototypical linear wave equations
with dynamic boundary conditions are analysed, which fit into the abstract framework.
For problems with velocity terms or with acoustic boundary conditions we prove
surprising results: for such problems the spatial convergence order is shown to
be less than 2. These can also be observed in the presented numerical experiments."
author:
- first_name: David
full_name: Hipp, David
last_name: Hipp
- first_name: Balázs
full_name: Kovács, Balázs
last_name: Kovács
citation:
ama: 'Hipp D, Kovács B. Finite element error analysis of wave equations with dynamic
boundary conditions: L2 estimates. IMA Journal of Numerical Analysis.
2020;41(1):638-728. doi:10.1093/imanum/drz073'
apa: 'Hipp, D., & Kovács, B. (2020). Finite element error analysis of wave equations
with dynamic boundary conditions: L2 estimates. IMA Journal of Numerical
Analysis, 41(1), 638–728. https://doi.org/10.1093/imanum/drz073'
bibtex: '@article{Hipp_Kovács_2020, title={Finite element error analysis of wave
equations with dynamic boundary conditions: L2 estimates}, volume={41},
DOI={10.1093/imanum/drz073},
number={1}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University
Press (OUP)}, author={Hipp, David and Kovács, Balázs}, year={2020}, pages={638–728}
}'
chicago: 'Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave
Equations with Dynamic Boundary Conditions: L2 Estimates.” IMA Journal
of Numerical Analysis 41, no. 1 (2020): 638–728. https://doi.org/10.1093/imanum/drz073.'
ieee: 'D. Hipp and B. Kovács, “Finite element error analysis of wave equations with
dynamic boundary conditions: L2 estimates,” IMA Journal of Numerical
Analysis, vol. 41, no. 1, pp. 638–728, 2020, doi: 10.1093/imanum/drz073.'
mla: 'Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave Equations
with Dynamic Boundary Conditions: L2 Estimates.” IMA Journal of Numerical
Analysis, vol. 41, no. 1, Oxford University Press (OUP), 2020, pp. 638–728,
doi:10.1093/imanum/drz073.'
short: D. Hipp, B. Kovács, IMA Journal of Numerical Analysis 41 (2020) 638–728.
date_created: 2023-07-10T11:42:43Z
date_updated: 2024-04-03T09:14:14Z
department:
- _id: '841'
doi: 10.1093/imanum/drz073
intvolume: ' 41'
issue: '1'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
page: 638-728
publication: IMA Journal of Numerical Analysis
publication_identifier:
issn:
- 0272-4979
- 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: 'Finite element error analysis of wave equations with dynamic boundary conditions:
L2 estimates'
type: journal_article
user_id: '100441'
volume: 41
year: '2020'
...
---
_id: '45953'
abstract:
- lang: eng
text: "Abstract\r\n $L^2$ norm error
estimates of semi- and full discretizations of wave equations with dynamic boundary
conditions, using bulk–surface finite elements and Runge–Kutta methods, are studied.
The analysis rests on an abstract formulation and error estimates, via energy
techniques, within this abstract setting. Four prototypical linear wave equations
with dynamic boundary conditions are analysed, which fit into the abstract framework.
For problems with velocity terms or with acoustic boundary conditions we prove
surprising results: for such problems the spatial convergence order is shown to
be less than 2. These can also be observed in the presented numerical experiments."
author:
- first_name: David
full_name: Hipp, David
last_name: Hipp
- first_name: Balázs
full_name: Kovács, Balázs
id: '100441'
last_name: Kovács
orcid: 0000-0001-9872-3474
citation:
ama: 'Hipp D, Kovács B. Finite element error analysis of wave equations with dynamic
boundary conditions: L2 estimates. IMA Journal of Numerical Analysis.
2020;41(1):638-728. doi:10.1093/imanum/drz073'
apa: 'Hipp, D., & Kovács, B. (2020). Finite element error analysis of wave equations
with dynamic boundary conditions: L2 estimates. IMA Journal of Numerical
Analysis, 41(1), 638–728. https://doi.org/10.1093/imanum/drz073'
bibtex: '@article{Hipp_Kovács_2020, title={Finite element error analysis of wave
equations with dynamic boundary conditions: L2 estimates}, volume={41},
DOI={10.1093/imanum/drz073},
number={1}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University
Press (OUP)}, author={Hipp, David and Kovács, Balázs}, year={2020}, pages={638–728}
}'
chicago: 'Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave
Equations with Dynamic Boundary Conditions: L2 Estimates.” IMA Journal
of Numerical Analysis 41, no. 1 (2020): 638–728. https://doi.org/10.1093/imanum/drz073.'
ieee: 'D. Hipp and B. Kovács, “Finite element error analysis of wave equations with
dynamic boundary conditions: L2 estimates,” IMA Journal of Numerical
Analysis, vol. 41, no. 1, pp. 638–728, 2020, doi: 10.1093/imanum/drz073.'
mla: 'Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave Equations
with Dynamic Boundary Conditions: L2 Estimates.” IMA Journal of Numerical
Analysis, vol. 41, no. 1, Oxford University Press (OUP), 2020, pp. 638–728,
doi:10.1093/imanum/drz073.'
short: D. Hipp, B. Kovács, IMA Journal of Numerical Analysis 41 (2020) 638–728.
date_created: 2023-07-10T11:42:31Z
date_updated: 2024-04-03T09:20:44Z
department:
- _id: '841'
doi: 10.1093/imanum/drz073
intvolume: ' 41'
issue: '1'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
page: 638-728
publication: IMA Journal of Numerical Analysis
publication_identifier:
issn:
- 0272-4979
- 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: 'Finite element error analysis of wave equations with dynamic boundary conditions:
L2 estimates'
type: journal_article
user_id: '100441'
volume: 41
year: '2020'
...
---
_id: '45955'
author:
- first_name: Georgios
full_name: Akrivis, Georgios
last_name: Akrivis
- first_name: Michael
full_name: Feischl, Michael
last_name: Feischl
- first_name: Balázs
full_name: Kovács, Balázs
id: '100441'
last_name: Kovács
orcid: 0000-0001-9872-3474
- first_name: Christian
full_name: Lubich, Christian
last_name: Lubich
citation:
ama: Akrivis G, Feischl M, Kovács B, Lubich C. Higher-order linearly implicit full
discretization of the Landau–Lifshitz–Gilbert equation. Mathematics of Computation.
2020;90(329):995-1038. doi:10.1090/mcom/3597
apa: Akrivis, G., Feischl, M., Kovács, B., & Lubich, C. (2020). Higher-order
linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation.
Mathematics of Computation, 90(329), 995–1038. https://doi.org/10.1090/mcom/3597
bibtex: '@article{Akrivis_Feischl_Kovács_Lubich_2020, title={Higher-order linearly
implicit full discretization of the Landau–Lifshitz–Gilbert equation}, volume={90},
DOI={10.1090/mcom/3597}, number={329},
journal={Mathematics of Computation}, publisher={American Mathematical Society
(AMS)}, author={Akrivis, Georgios and Feischl, Michael and Kovács, Balázs and
Lubich, Christian}, year={2020}, pages={995–1038} }'
chicago: 'Akrivis, Georgios, Michael Feischl, Balázs Kovács, and Christian Lubich.
“Higher-Order Linearly Implicit Full Discretization of the Landau–Lifshitz–Gilbert
Equation.” Mathematics of Computation 90, no. 329 (2020): 995–1038. https://doi.org/10.1090/mcom/3597.'
ieee: 'G. Akrivis, M. Feischl, B. Kovács, and C. Lubich, “Higher-order linearly
implicit full discretization of the Landau–Lifshitz–Gilbert equation,” Mathematics
of Computation, vol. 90, no. 329, pp. 995–1038, 2020, doi: 10.1090/mcom/3597.'
mla: Akrivis, Georgios, et al. “Higher-Order Linearly Implicit Full Discretization
of the Landau–Lifshitz–Gilbert Equation.” Mathematics of Computation, vol.
90, no. 329, American Mathematical Society (AMS), 2020, pp. 995–1038, doi:10.1090/mcom/3597.
short: G. Akrivis, M. Feischl, B. Kovács, C. Lubich, Mathematics of Computation
90 (2020) 995–1038.
date_created: 2023-07-10T11:42:57Z
date_updated: 2024-04-03T09:20:36Z
department:
- _id: '841'
doi: 10.1090/mcom/3597
intvolume: ' 90'
issue: '329'
keyword:
- Applied Mathematics
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 995-1038
publication: Mathematics of Computation
publication_identifier:
issn:
- 0025-5718
- 1088-6842
publication_status: published
publisher: American Mathematical Society (AMS)
status: public
title: Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert
equation
type: journal_article
user_id: '100441'
volume: 90
year: '2020'
...
---
_id: '45952'
author:
- first_name: Balázs
full_name: Kovács, Balázs
id: '100441'
last_name: Kovács
orcid: 0000-0001-9872-3474
- first_name: Buyang
full_name: Li, Buyang
last_name: Li
- first_name: Christian
full_name: Lubich, Christian
last_name: Lubich
citation:
ama: Kovács B, Li B, Lubich C. A convergent algorithm for forced mean curvature
flow driven by diffusion on the surface. Interfaces and Free Boundaries.
2020;22(4):443-464. doi:10.4171/ifb/446
apa: Kovács, B., Li, B., & Lubich, C. (2020). A convergent algorithm for forced
mean curvature flow driven by diffusion on the surface. Interfaces and Free
Boundaries, 22(4), 443–464. https://doi.org/10.4171/ifb/446
bibtex: '@article{Kovács_Li_Lubich_2020, title={A convergent algorithm for forced
mean curvature flow driven by diffusion on the surface}, volume={22}, DOI={10.4171/ifb/446}, number={4}, journal={Interfaces
and Free Boundaries}, publisher={European Mathematical Society - EMS - Publishing
House GmbH}, author={Kovács, Balázs and Li, Buyang and Lubich, Christian}, year={2020},
pages={443–464} }'
chicago: 'Kovács, Balázs, Buyang Li, and Christian Lubich. “A Convergent Algorithm
for Forced Mean Curvature Flow Driven by Diffusion on the Surface.” Interfaces
and Free Boundaries 22, no. 4 (2020): 443–64. https://doi.org/10.4171/ifb/446.'
ieee: 'B. Kovács, B. Li, and C. Lubich, “A convergent algorithm for forced mean
curvature flow driven by diffusion on the surface,” Interfaces and Free Boundaries,
vol. 22, no. 4, pp. 443–464, 2020, doi: 10.4171/ifb/446.'
mla: Kovács, Balázs, et al. “A Convergent Algorithm for Forced Mean Curvature Flow
Driven by Diffusion on the Surface.” Interfaces and Free Boundaries, vol.
22, no. 4, European Mathematical Society - EMS - Publishing House GmbH, 2020,
pp. 443–64, doi:10.4171/ifb/446.
short: B. Kovács, B. Li, C. Lubich, Interfaces and Free Boundaries 22 (2020) 443–464.
date_created: 2023-07-10T11:42:14Z
date_updated: 2024-04-03T09:21:02Z
department:
- _id: '841'
doi: 10.4171/ifb/446
intvolume: ' 22'
issue: '4'
keyword:
- Applied Mathematics
language:
- iso: eng
page: 443-464
publication: Interfaces and Free Boundaries
publication_identifier:
issn:
- 1463-9963
publication_status: published
publisher: European Mathematical Society - EMS - Publishing House GmbH
status: public
title: A convergent algorithm for forced mean curvature flow driven by diffusion on
the surface
type: journal_article
user_id: '100441'
volume: 22
year: '2020'
...
---
_id: '35822'
abstract:
- lang: eng
text: AbstractThe derivative concept plays a major
role in economics. However, its use in economics is very heterogeneous, sometimes
inconsistent, and contradicts students’ prior knowledge from school. This applies
in particular to the common economic interpretation of the derivative as the amount
of change while increasing the production by one unit. Hence, in calculus courses
for economics students, learners should acquire an understanding of the derivative
that is mathematically acceptable and connected to their prior knowledge, but
which also takes into account its practical use in economics. In this paper we
first develop a theoretical model describing such an understanding of the derivative
for economics students. We then present an exploratory study investigating the
extent to which economics students have such an understanding after their calculus
course. The results indicate that many of them might not have acquired this kind
of understanding, in particular concerning the common economic interpretation
of the derivative. The study furthermore yields possible gaps in students’ understanding
and possible misconceptions.
author:
- first_name: Frank
full_name: Feudel, Frank
last_name: Feudel
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: Feudel F, Biehler R. Students’ Understanding of the Derivative Concept in the
Context of Mathematics for Economics. Journal für Mathematik-Didaktik.
2020;42(1):273-305. doi:10.1007/s13138-020-00174-z
apa: Feudel, F., & Biehler, R. (2020). Students’ Understanding of the Derivative
Concept in the Context of Mathematics for Economics. Journal Für Mathematik-Didaktik,
42(1), 273–305. https://doi.org/10.1007/s13138-020-00174-z
bibtex: '@article{Feudel_Biehler_2020, title={Students’ Understanding of the Derivative
Concept in the Context of Mathematics for Economics}, volume={42}, DOI={10.1007/s13138-020-00174-z},
number={1}, journal={Journal für Mathematik-Didaktik}, publisher={Springer Science
and Business Media LLC}, author={Feudel, Frank and Biehler, Rolf}, year={2020},
pages={273–305} }'
chicago: 'Feudel, Frank, and Rolf Biehler. “Students’ Understanding of the Derivative
Concept in the Context of Mathematics for Economics.” Journal Für Mathematik-Didaktik
42, no. 1 (2020): 273–305. https://doi.org/10.1007/s13138-020-00174-z.'
ieee: 'F. Feudel and R. Biehler, “Students’ Understanding of the Derivative Concept
in the Context of Mathematics for Economics,” Journal für Mathematik-Didaktik,
vol. 42, no. 1, pp. 273–305, 2020, doi: 10.1007/s13138-020-00174-z.'
mla: Feudel, Frank, and Rolf Biehler. “Students’ Understanding of the Derivative
Concept in the Context of Mathematics for Economics.” Journal Für Mathematik-Didaktik,
vol. 42, no. 1, Springer Science and Business Media LLC, 2020, pp. 273–305, doi:10.1007/s13138-020-00174-z.
short: F. Feudel, R. Biehler, Journal Für Mathematik-Didaktik 42 (2020) 273–305.
date_created: 2023-01-10T11:45:46Z
date_updated: 2024-04-18T09:53:18Z
department:
- _id: '363'
doi: 10.1007/s13138-020-00174-z
intvolume: ' 42'
issue: '1'
keyword:
- Education
- General Mathematics
language:
- iso: eng
page: 273-305
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: Students’ Understanding of the Derivative Concept in the Context of Mathematics
for Economics
type: journal_article
user_id: '37888'
volume: 42
year: '2020'
...
---
_id: '35712'
abstract:
- lang: eng
text: "Abstract\r\n Mathematics learning
support centres (MLSC) are widely established and evaluated in English-speaking
countries (such as the UK, Ireland and Australia). In most of these countries,
several national surveys on MLSCs exist. They give an overview of the number of
MLSCs as well as their characteristics in these countries. In Germany, there is
a lack of studies on MLSCs and the landscape of MLSCs has not been described yet.
This article presents basic information concerning counts of MLSCs and their characteristics
at universities. Based on a three-step approach of analysing university homepages
and additional personal contact via email or phone calls, we gathered typical
MLSC features (e.g. staff quantities and qualification, opening and support hours,
supported study programmes). We analysed 190 universities from a web-based register
on study programmes. In total, we found 61 MLSCs located at 51 German universities.
Another 16 support centres were specialized on mathematics didactics, which means
they focussed on didactical and methodological support for preservice teacher
students and often provided different teaching materials. Thirty-eight centres
were located at universities (62.3%) and 23 MLSCs at universities of applied sciences
and comparable universities (37.7%). The MLSCs were different in their sizes of
staff and opening hours, and both the numbers of staff and the service hours differed
greatly. The student groups MLSCs at German universities focus on differ concerning
characteristics like study programme or semester. We will provide the main categories
describing these groups. We seek to answer research questions concerning the characteristics
of MLSCs in Germany and discuss the results compared to international findings.
This information is useful for further international collaborative research, for
example a standardized international survey. From a national perspective, these
findings support networking and collaborations between the MLSCs as well. As some
German MLSCs are facing financial cuts, these results might help in gaining additional
funding."
author:
- first_name: Mirko
full_name: Schürmann, Mirko
id: '59707'
last_name: Schürmann
orcid: 0000-0003-2646-085X
- first_name: Lara
full_name: Gildehaus, Lara
last_name: Gildehaus
- first_name: Michael
full_name: Liebendörfer, Michael
id: '30933'
last_name: Liebendörfer
orcid: 0000-0001-9887-2074
- first_name: Niclas
full_name: Schaper, Niclas
last_name: Schaper
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Reinhard
full_name: Hochmuth, Reinhard
last_name: Hochmuth
- first_name: Christiane
full_name: Kuklinski, Christiane
last_name: Kuklinski
- first_name: Elisa
full_name: Lankeit, Elisa
last_name: Lankeit
citation:
ama: 'Schürmann M, Gildehaus L, Liebendörfer M, et al. Mathematics learning support
centres in Germany—an overview. Teaching Mathematics and its Applications:
An International Journal of the IMA. 2020;40(2):99-113. doi:10.1093/teamat/hraa007'
apa: 'Schürmann, M., Gildehaus, L., Liebendörfer, M., Schaper, N., Biehler, R.,
Hochmuth, R., Kuklinski, C., & Lankeit, E. (2020). Mathematics learning support
centres in Germany—an overview. Teaching Mathematics and Its Applications:
An International Journal of the IMA, 40(2), 99–113. https://doi.org/10.1093/teamat/hraa007'
bibtex: '@article{Schürmann_Gildehaus_Liebendörfer_Schaper_Biehler_Hochmuth_Kuklinski_Lankeit_2020,
title={Mathematics learning support centres in Germany—an overview}, volume={40},
DOI={10.1093/teamat/hraa007},
number={2}, journal={Teaching Mathematics and its Applications: An International
Journal of the IMA}, publisher={Oxford University Press (OUP)}, author={Schürmann,
Mirko and Gildehaus, Lara and Liebendörfer, Michael and Schaper, Niclas and Biehler,
Rolf and Hochmuth, Reinhard and Kuklinski, Christiane and Lankeit, Elisa}, year={2020},
pages={99–113} }'
chicago: 'Schürmann, Mirko, Lara Gildehaus, Michael Liebendörfer, Niclas Schaper,
Rolf Biehler, Reinhard Hochmuth, Christiane Kuklinski, and Elisa Lankeit. “Mathematics
Learning Support Centres in Germany—an Overview.” Teaching Mathematics and
Its Applications: An International Journal of the IMA 40, no. 2 (2020): 99–113.
https://doi.org/10.1093/teamat/hraa007.'
ieee: 'M. Schürmann et al., “Mathematics learning support centres in Germany—an
overview,” Teaching Mathematics and its Applications: An International Journal
of the IMA, vol. 40, no. 2, pp. 99–113, 2020, doi: 10.1093/teamat/hraa007.'
mla: 'Schürmann, Mirko, et al. “Mathematics Learning Support Centres in Germany—an
Overview.” Teaching Mathematics and Its Applications: An International Journal
of the IMA, vol. 40, no. 2, Oxford University Press (OUP), 2020, pp. 99–113,
doi:10.1093/teamat/hraa007.'
short: 'M. Schürmann, L. Gildehaus, M. Liebendörfer, N. Schaper, R. Biehler, R.
Hochmuth, C. Kuklinski, E. Lankeit, Teaching Mathematics and Its Applications:
An International Journal of the IMA 40 (2020) 99–113.'
date_created: 2023-01-10T09:14:31Z
date_updated: 2024-04-18T10:10:15Z
department:
- _id: '423'
- _id: '363'
- _id: '625'
doi: 10.1093/teamat/hraa007
intvolume: ' 40'
issue: '2'
keyword:
- Education
- General Mathematics
language:
- iso: eng
page: 99-113
publication: 'Teaching Mathematics and its Applications: An International Journal
of the IMA'
publication_identifier:
issn:
- 0268-3679
- 1471-6976
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Mathematics learning support centres in Germany—an overview
type: journal_article
user_id: '37888'
volume: 40
year: '2020'
...
---
_id: '33866'
abstract:
- lang: eng
text: Helhmoltz–Kirchhoff equations of motions of vortices of an incompressible
fluid in the plane define a dynamics with singularities and this leads to a Zermelo
navigation problem describing the ship travel in such a field where the control
is the heading angle. Considering one vortex, we define a time minimization problem
which can be analyzed with the technics of geometric optimal control combined
with numerical simulations, the geometric frame being the extension of Randers
metrics in the punctured plane, with rotational symmetry. Candidates as minimizers
are parameterized thanks to the Pontryagin Maximum Principle as extremal solutions
of a Hamiltonian vector field. We analyze the time minimal solution to transfer
the ship between two points where during the transfer the ship can be either in
a strong current region in the vicinity of the vortex or in a weak current region.
The analysis is based on a micro-local classification of the extremals using mainly
the integrability properties of the dynamics due to the rotational symmetry. The
discussion is complex and related to the existence of an isolated extremal (Reeb)
circle due to the vortex singularity. The explicit computation of cut points where
the extremal curves cease to be optimal is given and the spheres are described
in the case where at the initial point the current is weak.
article_number: S10
author:
- first_name: Bernard
full_name: Bonnard, Bernard
last_name: Bonnard
- first_name: Olivier
full_name: Cots, Olivier
last_name: Cots
- first_name: Boris Edgar
full_name: Wembe Moafo, Boris Edgar
id: '95394'
last_name: Wembe Moafo
citation:
ama: 'Bonnard B, Cots O, Wembe Moafo BE. A Zermelo navigation problem with a vortex
singularity. ESAIM: Control, Optimisation and Calculus of Variations. 2020;27.
doi:10.1051/cocv/2020058'
apa: 'Bonnard, B., Cots, O., & Wembe Moafo, B. E. (2020). A Zermelo navigation
problem with a vortex singularity. ESAIM: Control, Optimisation and Calculus
of Variations, 27, Article S10. https://doi.org/10.1051/cocv/2020058'
bibtex: '@article{Bonnard_Cots_Wembe Moafo_2020, title={A Zermelo navigation problem
with a vortex singularity}, volume={27}, DOI={10.1051/cocv/2020058},
number={S10}, journal={ESAIM: Control, Optimisation and Calculus of Variations},
publisher={EDP Sciences}, author={Bonnard, Bernard and Cots, Olivier and Wembe
Moafo, Boris Edgar}, year={2020} }'
chicago: 'Bonnard, Bernard, Olivier Cots, and Boris Edgar Wembe Moafo. “A Zermelo
Navigation Problem with a Vortex Singularity.” ESAIM: Control, Optimisation
and Calculus of Variations 27 (2020). https://doi.org/10.1051/cocv/2020058.'
ieee: 'B. Bonnard, O. Cots, and B. E. Wembe Moafo, “A Zermelo navigation problem
with a vortex singularity,” ESAIM: Control, Optimisation and Calculus of Variations,
vol. 27, Art. no. S10, 2020, doi: 10.1051/cocv/2020058.'
mla: 'Bonnard, Bernard, et al. “A Zermelo Navigation Problem with a Vortex Singularity.”
ESAIM: Control, Optimisation and Calculus of Variations, vol. 27, S10,
EDP Sciences, 2020, doi:10.1051/cocv/2020058.'
short: 'B. Bonnard, O. Cots, B.E. Wembe Moafo, ESAIM: Control, Optimisation and
Calculus of Variations 27 (2020).'
date_created: 2022-10-24T12:51:05Z
date_updated: 2023-01-16T12:09:22Z
doi: 10.1051/cocv/2020058
intvolume: ' 27'
keyword:
- Computational Mathematics
- Control and Optimization
- Control and Systems Engineering
language:
- iso: eng
publication: 'ESAIM: Control, Optimisation and Calculus of Variations'
publication_identifier:
issn:
- 1292-8119
- 1262-3377
publication_status: published
publisher: EDP Sciences
status: public
title: A Zermelo navigation problem with a vortex singularity
type: journal_article
user_id: '95394'
volume: 27
year: '2020'
...