---
_id: '45381'
author:
- first_name: Jennifer
full_name: Dröse, Jennifer
id: '85820'
last_name: Dröse
- first_name: S.
full_name: Prediger, S.
last_name: Prediger
- first_name: P.
full_name: Neugebauer, P.
last_name: Neugebauer
- first_name: R. D.
full_name: Danhier, R. D.
last_name: Danhier
- first_name: B.
full_name: Mertins, B.
last_name: Mertins
citation:
ama: Dröse J, Prediger S, Neugebauer P, Danhier RD, Mertins B. Investigating students’
processes of noticing and interpreting syntactic language features in word problem
solving through eye-tracking. International Electronic Journal of Mathematics
Education, 16(1), em0625. Published online 2021. doi:doi.org/10.29333/iejme/9674n
apa: Dröse, J., Prediger, S., Neugebauer, P., Danhier, R. D., & Mertins, B.
(2021). Investigating students’ processes of noticing and interpreting syntactic
language features in word problem solving through eye-tracking. International
Electronic Journal of Mathematics Education, 16(1), Em0625. https://doi.org/doi.org/10.29333/iejme/9674n
bibtex: '@article{Dröse_Prediger_Neugebauer_Danhier_Mertins_2021, title={Investigating
students’ processes of noticing and interpreting syntactic language features in
word problem solving through eye-tracking}, DOI={doi.org/10.29333/iejme/9674n }, journal={International Electronic Journal
of Mathematics Education, 16(1), em0625}, author={Dröse, Jennifer and Prediger,
S. and Neugebauer, P. and Danhier, R. D. and Mertins, B.}, year={2021} }'
chicago: Dröse, Jennifer, S. Prediger, P. Neugebauer, R. D. Danhier, and B. Mertins.
“Investigating Students’ Processes of Noticing and Interpreting Syntactic Language
Features in Word Problem Solving through Eye-Tracking.” International Electronic
Journal of Mathematics Education, 16(1), Em0625, 2021. https://doi.org/doi.org/10.29333/iejme/9674n .
ieee: 'J. Dröse, S. Prediger, P. Neugebauer, R. D. Danhier, and B. Mertins, “Investigating
students’ processes of noticing and interpreting syntactic language features in
word problem solving through eye-tracking,” International Electronic Journal
of Mathematics Education, 16(1), em0625, 2021, doi: doi.org/10.29333/iejme/9674n .'
mla: Dröse, Jennifer, et al. “Investigating Students’ Processes of Noticing and
Interpreting Syntactic Language Features in Word Problem Solving through Eye-Tracking.”
International Electronic Journal of Mathematics Education, 16(1), Em0625,
2021, doi:doi.org/10.29333/iejme/9674n
.
short: J. Dröse, S. Prediger, P. Neugebauer, R.D. Danhier, B. Mertins, International
Electronic Journal of Mathematics Education, 16(1), Em0625 (2021).
date_created: 2023-05-31T07:08:04Z
date_updated: 2023-11-02T08:07:15Z
department:
- _id: '98'
doi: 'doi.org/10.29333/iejme/9674n '
language:
- iso: eng
publication: International Electronic Journal of Mathematics Education, 16(1), em0625
quality_controlled: '1'
status: public
title: Investigating students' processes of noticing and interpreting syntactic language
features in word problem solving through eye-tracking
type: journal_article
user_id: '85820'
year: '2021'
...
---
_id: '45380'
author:
- first_name: Jennifer
full_name: Dröse, Jennifer
id: '85820'
last_name: Dröse
- first_name: S.
full_name: Prediger, S.
last_name: Prediger
citation:
ama: Dröse J, Prediger S. Identifying obstacles is not enough for everybody – Differential
efficacy of an intervention fostering fifth graders’ comprehension for word problems.
Studies in Educational Evaluation, 68 (100953). Published online 2021:1-15.
doi:doi.org/10.1016/j.stueduc.2020.100953
apa: Dröse, J., & Prediger, S. (2021). Identifying obstacles is not enough for
everybody – Differential efficacy of an intervention fostering fifth graders’
comprehension for word problems. Studies in Educational Evaluation, 68 (100953),
1–15. https://doi.org/doi.org/10.1016/j.stueduc.2020.100953
bibtex: '@article{Dröse_Prediger_2021, title={Identifying obstacles is not enough
for everybody – Differential efficacy of an intervention fostering fifth graders’
comprehension for word problems}, DOI={doi.org/10.1016/j.stueduc.2020.100953},
journal={Studies in Educational Evaluation, 68 (100953)}, author={Dröse, Jennifer
and Prediger, S.}, year={2021}, pages={1–15} }'
chicago: Dröse, Jennifer, and S. Prediger. “Identifying Obstacles Is Not Enough
for Everybody – Differential Efficacy of an Intervention Fostering Fifth Graders’
Comprehension for Word Problems.” Studies in Educational Evaluation, 68 (100953),
2021, 1–15. https://doi.org/doi.org/10.1016/j.stueduc.2020.100953.
ieee: 'J. Dröse and S. Prediger, “Identifying obstacles is not enough for everybody
– Differential efficacy of an intervention fostering fifth graders’ comprehension
for word problems,” Studies in Educational Evaluation, 68 (100953), pp.
1–15, 2021, doi: doi.org/10.1016/j.stueduc.2020.100953.'
mla: Dröse, Jennifer, and S. Prediger. “Identifying Obstacles Is Not Enough for
Everybody – Differential Efficacy of an Intervention Fostering Fifth Graders’
Comprehension for Word Problems.” Studies in Educational Evaluation, 68 (100953),
2021, pp. 1–15, doi:doi.org/10.1016/j.stueduc.2020.100953.
short: J. Dröse, S. Prediger, Studies in Educational Evaluation, 68 (100953) (2021)
1–15.
date_created: 2023-05-31T07:04:40Z
date_updated: 2023-11-02T08:08:35Z
department:
- _id: '98'
doi: doi.org/10.1016/j.stueduc.2020.100953
language:
- iso: eng
page: 1-15
publication: Studies in Educational Evaluation, 68 (100953)
quality_controlled: '1'
status: public
title: Identifying obstacles is not enough for everybody – Differential efficacy of
an intervention fostering fifth graders’ comprehension for word problems
type: journal_article
user_id: '85820'
year: '2021'
...
---
_id: '31578'
author:
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
- first_name: Simone
full_name: Seitz, Simone
last_name: Seitz
- first_name: Melina
full_name: Wallner, Melina
id: '45445'
last_name: Wallner
- first_name: Yannik
full_name: Wilke, Yannik
last_name: Wilke
- first_name: Lara
full_name: Heckmann, Lara
last_name: Heckmann
citation:
ama: Häsel-Weide U, Seitz S, Wallner M, Wilke Y, Heckmann L. Mit Aufgaben im inklusiven
Mathematikunterricht professionell umgehen - Erkenntnisse einer Interviewstudie
mit Lehrpersonen der Sekundarstufe. QfI - Qualifizierung für Inklusion Online-Zeitschrift
zur Forschung über Aus-, Fort- und Weiterbildung pädagogischer Fachkräfte.
2021;3(1). doi:10.21248/qfi.57
apa: Häsel-Weide, U., Seitz, S., Wallner, M., Wilke, Y., & Heckmann, L. (2021).
Mit Aufgaben im inklusiven Mathematikunterricht professionell umgehen - Erkenntnisse
einer Interviewstudie mit Lehrpersonen der Sekundarstufe. QfI - Qualifizierung
für Inklusion. Online-Zeitschrift zur Forschung über Aus-, Fort- und Weiterbildung
pädagogischer Fachkräfte, 3(1). https://doi.org/10.21248/qfi.57
bibtex: '@article{Häsel-Weide_Seitz_Wallner_Wilke_Heckmann_2021, title={Mit Aufgaben
im inklusiven Mathematikunterricht professionell umgehen - Erkenntnisse einer
Interviewstudie mit Lehrpersonen der Sekundarstufe}, volume={3}, DOI={10.21248/qfi.57},
number={1}, journal={QfI - Qualifizierung für Inklusion. Online-Zeitschrift zur
Forschung über Aus-, Fort- und Weiterbildung pädagogischer Fachkräfte}, author={Häsel-Weide,
Uta and Seitz, Simone and Wallner, Melina and Wilke, Yannik and Heckmann, Lara},
year={2021} }'
chicago: Häsel-Weide, Uta, Simone Seitz, Melina Wallner, Yannik Wilke, and Lara
Heckmann. “Mit Aufgaben im inklusiven Mathematikunterricht professionell umgehen
- Erkenntnisse einer Interviewstudie mit Lehrpersonen der Sekundarstufe.” QfI
- Qualifizierung für Inklusion. Online-Zeitschrift zur Forschung über Aus-, Fort-
und Weiterbildung pädagogischer Fachkräfte 3, no. 1 (2021). https://doi.org/10.21248/qfi.57.
ieee: 'U. Häsel-Weide, S. Seitz, M. Wallner, Y. Wilke, and L. Heckmann, “Mit Aufgaben
im inklusiven Mathematikunterricht professionell umgehen - Erkenntnisse einer
Interviewstudie mit Lehrpersonen der Sekundarstufe,” QfI - Qualifizierung für
Inklusion. Online-Zeitschrift zur Forschung über Aus-, Fort- und Weiterbildung
pädagogischer Fachkräfte, vol. 3, no. 1, 2021, doi: 10.21248/qfi.57.'
mla: Häsel-Weide, Uta, et al. “Mit Aufgaben im inklusiven Mathematikunterricht professionell
umgehen - Erkenntnisse einer Interviewstudie mit Lehrpersonen der Sekundarstufe.”
QfI - Qualifizierung für Inklusion. Online-Zeitschrift zur Forschung über Aus-,
Fort- und Weiterbildung pädagogischer Fachkräfte, vol. 3, no. 1, 2021, doi:10.21248/qfi.57.
short: U. Häsel-Weide, S. Seitz, M. Wallner, Y. Wilke, L. Heckmann, QfI - Qualifizierung
für Inklusion. Online-Zeitschrift zur Forschung über Aus-, Fort- und Weiterbildung
pädagogischer Fachkräfte 3 (2021).
date_created: 2022-06-02T09:04:53Z
date_updated: 2023-11-24T16:50:54Z
department:
- _id: '98'
- _id: '543'
doi: 10.21248/qfi.57
intvolume: ' 3'
issue: '1'
language:
- iso: ger
publication: QfI - Qualifizierung für Inklusion. Online-Zeitschrift zur Forschung
über Aus-, Fort- und Weiterbildung pädagogischer Fachkräfte
publication_status: published
status: public
title: Mit Aufgaben im inklusiven Mathematikunterricht professionell umgehen - Erkenntnisse
einer Interviewstudie mit Lehrpersonen der Sekundarstufe
type: journal_article
user_id: '45445'
volume: 3
year: '2021'
...
---
_id: '31583'
author:
- first_name: Mathias
full_name: Hattermann, Mathias
last_name: Hattermann
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
- first_name: Melina
full_name: Wallner, Melina
id: '45445'
last_name: Wallner
citation:
ama: 'Hattermann M, Häsel-Weide U, Wallner M. Conceptualiziation processes of 6th
graders for rotational symmetry. In: Inprasitha M, Changsri N, Boonsena N, eds.
Proceedings of the 44th Conference of the International Group for the Psychology
of Mathematics Education . Vol 3. ; 2021:9-15.'
apa: Hattermann, M., Häsel-Weide, U., & Wallner, M. (2021). Conceptualiziation
processes of 6th graders for rotational symmetry. In M. Inprasitha, N. Changsri,
& N. Boonsena (Eds.), Proceedings of the 44th Conference of the International
Group for the Psychology of Mathematics Education (Vol. 3, pp. 9–15).
bibtex: '@inproceedings{Hattermann_Häsel-Weide_Wallner_2021, title={Conceptualiziation
processes of 6th graders for rotational symmetry}, volume={3}, booktitle={Proceedings
of the 44th Conference of the International Group for the Psychology of Mathematics
Education }, author={Hattermann, Mathias and Häsel-Weide, Uta and Wallner, Melina},
editor={Inprasitha, M. and Changsri, N. and Boonsena, N.}, year={2021}, pages={9–15}
}'
chicago: Hattermann, Mathias, Uta Häsel-Weide, and Melina Wallner. “Conceptualiziation
Processes of 6th Graders for Rotational Symmetry.” In Proceedings of the 44th
Conference of the International Group for the Psychology of Mathematics Education
, edited by M. Inprasitha, N. Changsri, and N. Boonsena, 3:9–15, 2021.
ieee: M. Hattermann, U. Häsel-Weide, and M. Wallner, “Conceptualiziation processes
of 6th graders for rotational symmetry,” in Proceedings of the 44th Conference
of the International Group for the Psychology of Mathematics Education , 2021,
vol. 3, pp. 9–15.
mla: Hattermann, Mathias, et al. “Conceptualiziation Processes of 6th Graders for
Rotational Symmetry.” Proceedings of the 44th Conference of the International
Group for the Psychology of Mathematics Education , edited by M. Inprasitha
et al., vol. 3, 2021, pp. 9–15.
short: 'M. Hattermann, U. Häsel-Weide, M. Wallner, in: M. Inprasitha, N. Changsri,
N. Boonsena (Eds.), Proceedings of the 44th Conference of the International Group
for the Psychology of Mathematics Education , 2021, pp. 9–15.'
date_created: 2022-06-02T09:45:14Z
date_updated: 2023-11-24T16:59:03Z
department:
- _id: '98'
- _id: '543'
editor:
- first_name: M.
full_name: Inprasitha, M.
last_name: Inprasitha
- first_name: N.
full_name: Changsri, N.
last_name: Changsri
- first_name: N.
full_name: Boonsena, N.
last_name: Boonsena
intvolume: ' 3'
language:
- iso: eng
page: 9-15
publication: 'Proceedings of the 44th Conference of the International Group for the
Psychology of Mathematics Education '
publication_status: published
related_material:
link:
- relation: confirmation
url: https://www.igpme.org/publications/current-proceedings/
status: public
title: Conceptualiziation processes of 6th graders for rotational symmetry
type: conference
user_id: '45445'
volume: 3
year: '2021'
...
---
_id: '22894'
abstract:
- lang: eng
text: "The first order optimality conditions of optimal control problems (OCPs)
can\r\nbe regarded as boundary value problems for Hamiltonian systems. Variational
or\r\nsymplectic discretisation methods are classically known for their excellent\r\nlong
term behaviour. As boundary value problems are posed on intervals of\r\nfixed,
moderate length, it is not immediately clear whether methods can profit\r\nfrom
structure preservation in this context. When parameters are present,\r\nsolutions
can undergo bifurcations, for instance, two solutions can merge and\r\nannihilate
one another as parameters are varied. We will show that generic\r\nbifurcations
of an OCP are preserved under discretisation when the OCP is\r\neither directly
discretised to a discrete OCP (direct method) or translated\r\ninto a Hamiltonian
boundary value problem using first order necessary\r\nconditions of optimality
which is then solved using a symplectic integrator\r\n(indirect method). Moreover,
certain bifurcations break when a non-symplectic\r\nscheme is used. The general
phenomenon is illustrated on the example of a cut\r\nlocus of an ellipsoid."
author:
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: 0000-0002-5940-8057
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
citation:
ama: Offen C, Ober-Blöbaum S. Bifurcation preserving discretisations of optimal
control problems. 2021;54(19):334-339. doi:https://doi.org/10.1016/j.ifacol.2021.11.099
apa: 'Offen, C., & Ober-Blöbaum, S. (2021). Bifurcation preserving discretisations
of optimal control problems: Vol. 54(19) (pp. 334–339). https://doi.org/10.1016/j.ifacol.2021.11.099'
bibtex: '@article{Offen_Ober-Blöbaum_2021, series={IFAC-PapersOnLine}, title={Bifurcation
preserving discretisations of optimal control problems}, volume={54(19)}, DOI={https://doi.org/10.1016/j.ifacol.2021.11.099},
author={Offen, Christian and Ober-Blöbaum, Sina}, year={2021}, pages={334–339},
collection={IFAC-PapersOnLine} }'
chicago: Offen, Christian, and Sina Ober-Blöbaum. “Bifurcation Preserving Discretisations
of Optimal Control Problems.” IFAC-PapersOnLine, 2021. https://doi.org/10.1016/j.ifacol.2021.11.099.
ieee: 'C. Offen and S. Ober-Blöbaum, “Bifurcation preserving discretisations of
optimal control problems,” vol. 54(19). pp. 334–339, 2021, doi: https://doi.org/10.1016/j.ifacol.2021.11.099.'
mla: Offen, Christian, and Sina Ober-Blöbaum. Bifurcation Preserving Discretisations
of Optimal Control Problems. 2021, pp. 334–39, doi:https://doi.org/10.1016/j.ifacol.2021.11.099.
short: C. Offen, S. Ober-Blöbaum, 54(19) (2021) 334–339.
conference:
end_date: 2021-10-13
location: Berlin, Germany
name: 7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control,
LHMNC 2021
start_date: 2021-10-11
date_created: 2021-07-29T09:38:32Z
date_updated: 2023-11-29T10:19:41Z
ddc:
- '510'
department:
- _id: '636'
doi: https://doi.org/10.1016/j.ifacol.2021.11.099
external_id:
arxiv:
- '2107.13853'
file:
- access_level: open_access
content_type: application/pdf
creator: coffen
date_created: 2021-07-29T09:37:49Z
date_updated: 2021-07-29T09:37:49Z
file_id: '22895'
file_name: ifacconf.pdf
file_size: 3125220
relation: main_file
file_date_updated: 2021-07-29T09:37:49Z
has_accepted_license: '1'
keyword:
- optimal control
- catastrophe theory
- bifurcations
- variational methods
- symplectic integrators
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://www.sciencedirect.com/science/article/pii/S2405896321021236
oa: '1'
page: 334-339
publication_identifier:
issn:
- 2405-8963
publication_status: published
quality_controlled: '1'
related_material:
link:
- description: GitHub/Zenodo
relation: software
url: https://doi.org/10.5281/zenodo.4562664
series_title: IFAC-PapersOnLine
status: public
title: Bifurcation preserving discretisations of optimal control problems
type: conference
user_id: '15694'
volume: 54(19)
year: '2021'
...
---
_id: '21572'
author:
- first_name: Steffen
full_name: Ridderbusch, Steffen
last_name: Ridderbusch
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: 0000-0002-5940-8057
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: Paul
full_name: Goulart, Paul
last_name: Goulart
citation:
ama: 'Ridderbusch S, Offen C, Ober-Blöbaum S, Goulart P. Learning ODE Models with
Qualitative Structure Using Gaussian Processes . In: 2021 60th IEEE Conference
on Decision and Control (CDC). IEEE; 2021:2896. doi:10.1109/CDC45484.2021.9683426'
apa: Ridderbusch, S., Offen, C., Ober-Blöbaum, S., & Goulart, P. (2021). Learning
ODE Models with Qualitative Structure Using Gaussian Processes . 2021 60th
IEEE Conference on Decision and Control (CDC), 2896. https://doi.org/10.1109/CDC45484.2021.9683426
bibtex: '@inproceedings{Ridderbusch_Offen_Ober-Blöbaum_Goulart_2021, title={Learning
ODE Models with Qualitative Structure Using Gaussian Processes }, DOI={10.1109/CDC45484.2021.9683426},
booktitle={2021 60th IEEE Conference on Decision and Control (CDC)}, publisher={IEEE},
author={Ridderbusch, Steffen and Offen, Christian and Ober-Blöbaum, Sina and Goulart,
Paul}, year={2021}, pages={2896} }'
chicago: Ridderbusch, Steffen, Christian Offen, Sina Ober-Blöbaum, and Paul Goulart.
“Learning ODE Models with Qualitative Structure Using Gaussian Processes .” In
2021 60th IEEE Conference on Decision and Control (CDC), 2896. IEEE, 2021.
https://doi.org/10.1109/CDC45484.2021.9683426.
ieee: 'S. Ridderbusch, C. Offen, S. Ober-Blöbaum, and P. Goulart, “Learning ODE
Models with Qualitative Structure Using Gaussian Processes ,” in 2021 60th
IEEE Conference on Decision and Control (CDC), Austin, TX, USA, 2021, p. 2896,
doi: 10.1109/CDC45484.2021.9683426.'
mla: Ridderbusch, Steffen, et al. “Learning ODE Models with Qualitative Structure
Using Gaussian Processes .” 2021 60th IEEE Conference on Decision and Control
(CDC), IEEE, 2021, p. 2896, doi:10.1109/CDC45484.2021.9683426.
short: 'S. Ridderbusch, C. Offen, S. Ober-Blöbaum, P. Goulart, in: 2021 60th IEEE
Conference on Decision and Control (CDC), IEEE, 2021, p. 2896.'
conference:
end_date: 2021-12-17
location: Austin, TX, USA
name: 60th IEEE Conference on Decision and Control (CDC)
start_date: 2021-12-14
date_created: 2021-03-30T10:27:44Z
date_updated: 2023-11-29T10:24:55Z
department:
- _id: '636'
doi: 10.1109/CDC45484.2021.9683426
external_id:
arxiv:
- '2011.05364'
language:
- iso: eng
page: '2896'
publication: 2021 60th IEEE Conference on Decision and Control (CDC)
publication_identifier:
eisbn:
- 978-1-6654-3659-5
publication_status: published
publisher: IEEE
related_material:
link:
- description: GitHub
relation: software
url: https://github.com/Crown421/StructureGPs-paper
status: public
title: 'Learning ODE Models with Qualitative Structure Using Gaussian Processes '
type: conference
user_id: '15694'
year: '2021'
...
---
_id: '21592'
abstract:
- lang: eng
text: We propose a reachability approach for infinite and finite horizon multi-objective
optimization problems for low-thrust spacecraft trajectory design. The main advantage
of the proposed method is that the Pareto front can be efficiently constructed
from the zero level set of the solution to a Hamilton-Jacobi-Bellman equation.
We demonstrate the proposed method by applying it to a low-thrust spacecraft trajectory
design problem. By deriving the analytic expression for the Hamiltonian and the
optimal control policy, we are able to efficiently compute the backward reachable
set and reconstruct the optimal trajectories. Furthermore, we show that any reconstructed
trajectory will be guaranteed to be weakly Pareto optimal. The proposed method
can be used as a benchmark for future research of applying reachability analysis
to low-thrust spacecraft trajectory design.
author:
- first_name: Nikolaus
full_name: Vertovec, Nikolaus
id: '87056'
last_name: Vertovec
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: Kostas
full_name: Margellos, Kostas
last_name: Margellos
citation:
ama: 'Vertovec N, Ober-Blöbaum S, Margellos K. Multi-objective minimum time optimal
control for low-thrust trajectory design. In: ; :1975-1980.'
apa: Vertovec, N., Ober-Blöbaum, S., & Margellos, K. (n.d.). Multi-objective
minimum time optimal control for low-thrust trajectory design. 1975–1980.
bibtex: '@inproceedings{Vertovec_Ober-Blöbaum_Margellos, title={Multi-objective
minimum time optimal control for low-thrust trajectory design}, author={Vertovec,
Nikolaus and Ober-Blöbaum, Sina and Margellos, Kostas}, pages={1975–1980} }'
chicago: Vertovec, Nikolaus, Sina Ober-Blöbaum, and Kostas Margellos. “Multi-Objective
Minimum Time Optimal Control for Low-Thrust Trajectory Design,” 1975–80, n.d.
ieee: N. Vertovec, S. Ober-Blöbaum, and K. Margellos, “Multi-objective minimum time
optimal control for low-thrust trajectory design,” Rotterdam, the Netherlands,
pp. 1975–1980.
mla: Vertovec, Nikolaus, et al. Multi-Objective Minimum Time Optimal Control
for Low-Thrust Trajectory Design. pp. 1975–80.
short: 'N. Vertovec, S. Ober-Blöbaum, K. Margellos, in: n.d., pp. 1975–1980.'
conference:
end_date: 2021-07-02
location: Rotterdam, the Netherlands
name: 2021 European Control Conference (ECC)
start_date: 2021-06-29
date_created: 2021-04-03T03:00:35Z
date_updated: 2023-11-29T10:26:49Z
department:
- _id: '636'
external_id:
arxiv:
- '2103.08813'
language:
- iso: eng
page: 1975-1980
publication_status: accepted
status: public
title: Multi-objective minimum time optimal control for low-thrust trajectory design
type: conference
user_id: '15694'
year: '2021'
...
---
_id: '29868'
author:
- first_name: F.
full_name: Jiménez, F.
last_name: Jiménez
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
citation:
ama: 'Jiménez F, Ober-Blöbaum S. Fractional Damping Through Restricted Calculus
of Variations. In: Nichtlineare Sci 31. Vol 46. J Nonlinear Sci . ; 2021.'
apa: Jiménez, F., & Ober-Blöbaum, S. (2021). Fractional Damping Through Restricted
Calculus of Variations. Nichtlineare Sci 31, 46.
bibtex: '@inproceedings{Jiménez_Ober-Blöbaum_2021, series={J Nonlinear Sci }, title={Fractional
Damping Through Restricted Calculus of Variations}, volume={46}, booktitle={Nichtlineare
Sci 31}, author={Jiménez, F. and Ober-Blöbaum, Sina}, year={2021}, collection={J
Nonlinear Sci } }'
chicago: Jiménez, F., and Sina Ober-Blöbaum. “Fractional Damping Through Restricted
Calculus of Variations.” In Nichtlineare Sci 31, Vol. 46. J Nonlinear Sci
, 2021.
ieee: F. Jiménez and S. Ober-Blöbaum, “Fractional Damping Through Restricted Calculus
of Variations,” in Nichtlineare Sci 31, 2021, vol. 46.
mla: Jiménez, F., and Sina Ober-Blöbaum. “Fractional Damping Through Restricted
Calculus of Variations.” Nichtlineare Sci 31, vol. 46, 2021.
short: 'F. Jiménez, S. Ober-Blöbaum, in: Nichtlineare Sci 31, 2021.'
date_created: 2022-02-17T07:28:47Z
date_updated: 2023-11-29T10:23:46Z
department:
- _id: '636'
intvolume: ' 46'
language:
- iso: eng
publication: Nichtlineare Sci 31
series_title: 'J Nonlinear Sci '
status: public
title: Fractional Damping Through Restricted Calculus of Variations
type: conference
user_id: '15694'
volume: 46
year: '2021'
...
---
_id: '34827'
abstract:
- lang: eng
text: ZusammenfassungZu den ersten geometrischen
Begriffen, die Kinder bereits im Elementar- und Primarbereich lernen, zählen u. a.
Viereck, Rechteck und Quadrat. Studien zeigen, dass Lernende bereits früh individuelle
Vorstellungen, sog. individuelle Begriffskonzepte,
zu diesen Begriffen aufbauen. Zwar wird die Entwicklung von Begriffsverständnis
in verschiedenen mathematikdidaktischen Stufenmodellen dargestellt, diese sind
jedoch generisch und beschreiben nicht explizit die Entwicklung der ersten individuellen
Begriffskonzepte von Lernenden zu Viereck, Rechteck und Quadrat.
Aus empirischer Sicht liegen verschiedene Studien vor, die einzelne Aspekte der
individuellen Begriffskonzepte von Lernenden unterschiedlicher Altersgruppen zu
diesen Begriffen ausleuchten. Um Begriffsbildungsprozesse aus empirischer Sicht
detaillierter entlang der jeweils vorherrschenden individuellen Begriffskonzepte
zu beschreiben, fehlen insbesondere Studien in der Grundschule, die alle vier
Klassenstufen betrachten und dabei differenzierte Erkenntnisse zu verschiedenen
theoretischen Indikatoren des Begriffsverständnisses liefern. Daher geht die vorliegende
Studie der Frage nach, welches Verständnis der Begriffe Viereck, Rechteck und
Quadrat Schülerinnen und Schüler der Jahrgangsstufen 1, 2, 3 und 4 zeigen. Dazu
wurde eine Quasi-Längsschnittstudie mit N = 456 Grundschulkindern
(ca. 100 pro Jahrgangsstufe) durchgeführt. Die Ergebnisse geben detaillierte Einblicke
in die individuellen Begriffskonzepte der Lernenden und zeigen, dass Lernende
zunehmend Eigenschaften der Figuren berücksichtigen, jedoch individuelle Begriffskonzepte
über lange Zeit auch prototypisch geprägt sind. Implikationen dieser Ergebnisse
für Forschung und Praxis werden diskutiert.
author:
- first_name: Julia
full_name: Bruns, Julia
id: '72183'
last_name: Bruns
orcid: https://orcid.org/0000-0002-6604-5864
- first_name: Elisabeth
full_name: Unterhauser, Elisabeth
last_name: Unterhauser
- first_name: Hedwig
full_name: Gasteiger, Hedwig
last_name: Gasteiger
citation:
ama: Bruns J, Unterhauser E, Gasteiger H. Geometrisches Begriffsverständnis in der
Grundschule am Beispiel der Begriffe Viereck, Rechteck und Quadrat. Journal
für Mathematik-Didaktik. 2021;42(2):581-623. doi:10.1007/s13138-021-00185-4
apa: Bruns, J., Unterhauser, E., & Gasteiger, H. (2021). Geometrisches Begriffsverständnis
in der Grundschule am Beispiel der Begriffe Viereck, Rechteck und Quadrat. Journal
für Mathematik-Didaktik, 42(2), 581–623. https://doi.org/10.1007/s13138-021-00185-4
bibtex: '@article{Bruns_Unterhauser_Gasteiger_2021, title={Geometrisches Begriffsverständnis
in der Grundschule am Beispiel der Begriffe Viereck, Rechteck und Quadrat}, volume={42},
DOI={10.1007/s13138-021-00185-4},
number={2}, journal={Journal für Mathematik-Didaktik}, publisher={Springer Science
and Business Media LLC}, author={Bruns, Julia and Unterhauser, Elisabeth and Gasteiger,
Hedwig}, year={2021}, pages={581–623} }'
chicago: 'Bruns, Julia, Elisabeth Unterhauser, and Hedwig Gasteiger. “Geometrisches
Begriffsverständnis in der Grundschule am Beispiel der Begriffe Viereck, Rechteck
und Quadrat.” Journal für Mathematik-Didaktik 42, no. 2 (2021): 581–623.
https://doi.org/10.1007/s13138-021-00185-4.'
ieee: 'J. Bruns, E. Unterhauser, and H. Gasteiger, “Geometrisches Begriffsverständnis
in der Grundschule am Beispiel der Begriffe Viereck, Rechteck und Quadrat,” Journal
für Mathematik-Didaktik, vol. 42, no. 2, pp. 581–623, 2021, doi: 10.1007/s13138-021-00185-4.'
mla: Bruns, Julia, et al. “Geometrisches Begriffsverständnis in der Grundschule
am Beispiel der Begriffe Viereck, Rechteck und Quadrat.” Journal für Mathematik-Didaktik,
vol. 42, no. 2, Springer Science and Business Media LLC, 2021, pp. 581–623, doi:10.1007/s13138-021-00185-4.
short: J. Bruns, E. Unterhauser, H. Gasteiger, Journal für Mathematik-Didaktik 42
(2021) 581–623.
date_created: 2022-12-22T09:26:39Z
date_updated: 2023-10-23T11:14:59Z
department:
- _id: '97'
- _id: '611'
doi: 10.1007/s13138-021-00185-4
intvolume: ' 42'
issue: '2'
keyword:
- Education
- General Mathematics
language:
- iso: ger
page: 581-623
publication: Journal für Mathematik-Didaktik
publication_identifier:
issn:
- 0173-5322
- 1869-2699
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: Geometrisches Begriffsverständnis in der Grundschule am Beispiel der Begriffe
Viereck, Rechteck und Quadrat
type: journal_article
user_id: '72183'
volume: 42
year: '2021'
...
---
_id: '45382'
author:
- first_name: Susanne
full_name: Prediger, Susanne
last_name: Prediger
- first_name: Jennifer
full_name: Dröse, Jennifer
id: '85820'
last_name: Dröse
citation:
ama: Prediger S, Dröse J. Fehlerbearbeitung bei mathematischen Textaufgaben – Sprachliche
und strategische Fehlerursachen und ihre Bearbeitung. Lernen und Lernstörungen,
10(2). Published online 2021. doi:doi.org/10.1024/2235-0977/a000330
apa: Prediger, S., & Dröse, J. (2021). Fehlerbearbeitung bei mathematischen
Textaufgaben – Sprachliche und strategische Fehlerursachen und ihre Bearbeitung.
Lernen und Lernstörungen, 10(2). https://doi.org/doi.org/10.1024/2235-0977/a000330
bibtex: '@article{Prediger_Dröse_2021, title={Fehlerbearbeitung bei mathematischen
Textaufgaben – Sprachliche und strategische Fehlerursachen und ihre Bearbeitung},
DOI={doi.org/10.1024/2235-0977/a000330},
journal={Lernen und Lernstörungen, 10(2)}, author={Prediger, Susanne and Dröse,
Jennifer}, year={2021} }'
chicago: Prediger, Susanne, and Jennifer Dröse. “Fehlerbearbeitung bei mathematischen
Textaufgaben – Sprachliche und strategische Fehlerursachen und ihre Bearbeitung.”
Lernen und Lernstörungen, 10(2), 2021. https://doi.org/doi.org/10.1024/2235-0977/a000330.
ieee: 'S. Prediger and J. Dröse, “Fehlerbearbeitung bei mathematischen Textaufgaben
– Sprachliche und strategische Fehlerursachen und ihre Bearbeitung,” Lernen
und Lernstörungen, 10(2), 2021, doi: doi.org/10.1024/2235-0977/a000330.'
mla: Prediger, Susanne, and Jennifer Dröse. “Fehlerbearbeitung bei mathematischen
Textaufgaben – Sprachliche und strategische Fehlerursachen und ihre Bearbeitung.”
Lernen und Lernstörungen, 10(2), 2021, doi:doi.org/10.1024/2235-0977/a000330.
short: S. Prediger, J. Dröse, Lernen und Lernstörungen, 10(2) (2021).
date_created: 2023-05-31T07:14:10Z
date_updated: 2023-11-02T08:09:00Z
department:
- _id: '98'
doi: doi.org/10.1024/2235-0977/a000330
language:
- iso: ger
publication: Lernen und Lernstörungen, 10(2)
quality_controlled: '1'
status: public
title: Fehlerbearbeitung bei mathematischen Textaufgaben – Sprachliche und strategische
Fehlerursachen und ihre Bearbeitung
type: journal_article
user_id: '85820'
year: '2021'
...
---
_id: '31263'
author:
- first_name: Colin
full_name: Guillarmou, Colin
last_name: Guillarmou
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
citation:
ama: Guillarmou C, Hilgert J, Weich T. High frequency limits for invariant Ruelle
densities. Annales Henri Lebesgue. 2021;4:81-119. doi:10.5802/ahl.67
apa: Guillarmou, C., Hilgert, J., & Weich, T. (2021). High frequency limits
for invariant Ruelle densities. Annales Henri Lebesgue, 4, 81–119.
https://doi.org/10.5802/ahl.67
bibtex: '@article{Guillarmou_Hilgert_Weich_2021, title={High frequency limits for
invariant Ruelle densities}, volume={4}, DOI={10.5802/ahl.67},
journal={Annales Henri Lebesgue}, publisher={Cellule MathDoc/CEDRAM}, author={Guillarmou,
Colin and Hilgert, Joachim and Weich, Tobias}, year={2021}, pages={81–119} }'
chicago: 'Guillarmou, Colin, Joachim Hilgert, and Tobias Weich. “High Frequency
Limits for Invariant Ruelle Densities.” Annales Henri Lebesgue 4 (2021):
81–119. https://doi.org/10.5802/ahl.67.'
ieee: 'C. Guillarmou, J. Hilgert, and T. Weich, “High frequency limits for invariant
Ruelle densities,” Annales Henri Lebesgue, vol. 4, pp. 81–119, 2021, doi:
10.5802/ahl.67.'
mla: Guillarmou, Colin, et al. “High Frequency Limits for Invariant Ruelle Densities.”
Annales Henri Lebesgue, vol. 4, Cellule MathDoc/CEDRAM, 2021, pp. 81–119,
doi:10.5802/ahl.67.
short: C. Guillarmou, J. Hilgert, T. Weich, Annales Henri Lebesgue 4 (2021) 81–119.
date_created: 2022-05-17T12:05:17Z
date_updated: 2024-02-19T06:27:43Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
- _id: '91'
doi: 10.5802/ahl.67
external_id:
arxiv:
- '1803.06717'
intvolume: ' 4'
language:
- iso: eng
page: 81-119
publication: Annales Henri Lebesgue
publication_identifier:
issn:
- 2644-9463
publication_status: published
publisher: Cellule MathDoc/CEDRAM
status: public
title: High frequency limits for invariant Ruelle densities
type: journal_article
user_id: '49063'
volume: 4
year: '2021'
...
---
_id: '36271'
author:
- first_name: Dominik
full_name: Brennecken, Dominik
id: '55911'
last_name: Brennecken
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: Lorenzo
full_name: Ciardo, Lorenzo
last_name: Ciardo
citation:
ama: Brennecken D, Hilgert J, Ciardo L. Algebraically Independent Generators for
the Algebra of Invariant Differential Operators on SLn(R)/SOn(R). Journal of
Lie Theory. 2021;31(2):459--468. doi:10.48550/arXiv.2008.07479
apa: Brennecken, D., Hilgert, J., & Ciardo, L. (2021). Algebraically Independent
Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R).
Journal of Lie Theory, 31(2), 459--468. https://doi.org/10.48550/arXiv.2008.07479
bibtex: '@article{Brennecken_Hilgert_Ciardo_2021, title={Algebraically Independent
Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R)},
volume={31}, DOI={10.48550/arXiv.2008.07479},
number={2}, journal={Journal of Lie Theory}, publisher={Heldermann Verlag}, author={Brennecken,
Dominik and Hilgert, Joachim and Ciardo, Lorenzo}, year={2021}, pages={459--468}
}'
chicago: 'Brennecken, Dominik, Joachim Hilgert, and Lorenzo Ciardo. “Algebraically
Independent Generators for the Algebra of Invariant Differential Operators on
SLn(R)/SOn(R).” Journal of Lie Theory 31, no. 2 (2021): 459--468. https://doi.org/10.48550/arXiv.2008.07479.'
ieee: 'D. Brennecken, J. Hilgert, and L. Ciardo, “Algebraically Independent Generators
for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R),” Journal
of Lie Theory, vol. 31, no. 2, pp. 459--468, 2021, doi: 10.48550/arXiv.2008.07479.'
mla: Brennecken, Dominik, et al. “Algebraically Independent Generators for the Algebra
of Invariant Differential Operators on SLn(R)/SOn(R).” Journal of Lie Theory,
vol. 31, no. 2, Heldermann Verlag, 2021, pp. 459--468, doi:10.48550/arXiv.2008.07479.
short: D. Brennecken, J. Hilgert, L. Ciardo, Journal of Lie Theory 31 (2021) 459--468.
date_created: 2023-01-12T08:23:28Z
date_updated: 2024-02-19T06:27:09Z
department:
- _id: '555'
- _id: '91'
doi: 10.48550/arXiv.2008.07479
intvolume: ' 31'
issue: '2'
language:
- iso: eng
page: 459--468
publication: Journal of Lie Theory
publication_status: published
publisher: Heldermann Verlag
status: public
title: Algebraically Independent Generators for the Algebra of Invariant Differential
Operators on SLn(R)/SOn(R)
type: journal_article
user_id: '49063'
volume: 31
year: '2021'
...
---
_id: '51556'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: 'Hilgert J. Philip Ording: 99 Variations on a Proof. Princeton University Press
2019. Mathematische Semesterberichte. 2021;68:171–173. doi:10.1007/s00591-021-00295-7'
apa: 'Hilgert, J. (2021). Philip Ording: 99 Variations on a Proof. Princeton University
Press 2019. In Mathematische Semesterberichte (Vol. 68, pp. 171–173). https://doi.org/10.1007/s00591-021-00295-7'
bibtex: '@article{Hilgert_2021, title={Philip Ording: 99 Variations on a Proof.
Princeton University Press 2019}, volume={68}, DOI={10.1007/s00591-021-00295-7},
journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2021},
pages={171–173} }'
chicago: 'Hilgert, Joachim. “Philip Ording: 99 Variations on a Proof. Princeton
University Press 2019.” Mathematische Semesterberichte, 2021. https://doi.org/10.1007/s00591-021-00295-7.'
ieee: 'J. Hilgert, “Philip Ording: 99 Variations on a Proof. Princeton University
Press 2019,” Mathematische Semesterberichte, vol. 68. pp. 171–173, 2021,
doi: 10.1007/s00591-021-00295-7.'
mla: 'Hilgert, Joachim. “Philip Ording: 99 Variations on a Proof. Princeton University
Press 2019.” Mathematische Semesterberichte, vol. 68, 2021, pp. 171–173,
doi:10.1007/s00591-021-00295-7.'
short: J. Hilgert, Mathematische Semesterberichte 68 (2021) 171–173.
date_created: 2024-02-20T09:52:08Z
date_updated: 2024-02-20T10:03:43Z
department:
- _id: '91'
doi: 10.1007/s00591-021-00295-7
intvolume: ' 68'
language:
- iso: eng
page: 171–173
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Philip Ording: 99 Variations on a Proof. Princeton University Press 2019'
type: review
user_id: '49063'
volume: 68
year: '2021'
...
---
_id: '51555'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: 'Hilgert J. Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame
Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020. Mathematische
Semesterberichte. 2021;68:175–177. doi:10.1007/s00591-021-00296-6'
apa: 'Hilgert, J. (2021). Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch
– Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020.
In Mathematische Semesterberichte (Vol. 68, pp. 175–177). https://doi.org/10.1007/s00591-021-00296-6'
bibtex: '@article{Hilgert_2021, title={Georg Glaeser (Hrsg.): 77-mal Mathematik
für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer
Spektrum 2020}, volume={68}, DOI={10.1007/s00591-021-00296-6},
journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2021},
pages={175–177} }'
chicago: 'Hilgert, Joachim. “Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch
– Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020.”
Mathematische Semesterberichte, 2021. https://doi.org/10.1007/s00591-021-00296-6.'
ieee: 'J. Hilgert, “Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch –
Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020,”
Mathematische Semesterberichte, vol. 68. pp. 175–177, 2021, doi: 10.1007/s00591-021-00296-6.'
mla: 'Hilgert, Joachim. “Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch
– Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020.”
Mathematische Semesterberichte, vol. 68, 2021, pp. 175–177, doi:10.1007/s00591-021-00296-6.'
short: J. Hilgert, Mathematische Semesterberichte 68 (2021) 175–177.
date_created: 2024-02-20T09:50:31Z
date_updated: 2024-02-20T10:14:56Z
department:
- _id: '91'
doi: 10.1007/s00591-021-00296-6
intvolume: ' 68'
language:
- iso: ger
page: 175–177
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame
Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020'
type: review
user_id: '49063'
volume: 68
year: '2021'
...
---
_id: '45967'
author:
- first_name: Tim
full_name: Binz, Tim
last_name: Binz
- first_name: Balázs
full_name: Kovács, Balázs
id: '100441'
last_name: Kovács
orcid: 0000-0001-9872-3474
citation:
ama: Binz T, Kovács B. A convergent finite element algorithm for mean curvature
flow in higher codimension. arXiv. Published online 2021.
apa: Binz, T., & Kovács, B. (2021). A convergent finite element algorithm for
mean curvature flow in higher codimension. ArXiv.
bibtex: '@article{Binz_Kovács_2021, title={A convergent finite element algorithm
for mean curvature flow in higher codimension}, journal={arXiv}, author={Binz,
Tim and Kovács, Balázs}, year={2021} }'
chicago: Binz, Tim, and Balázs Kovács. “A Convergent Finite Element Algorithm for
Mean Curvature Flow in Higher Codimension.” ArXiv, 2021.
ieee: T. Binz and B. Kovács, “A convergent finite element algorithm for mean curvature
flow in higher codimension,” arXiv, 2021.
mla: Binz, Tim, and Balázs Kovács. “A Convergent Finite Element Algorithm for Mean
Curvature Flow in Higher Codimension.” ArXiv, 2021.
short: T. Binz, B. Kovács, ArXiv (2021).
date_created: 2023-07-10T11:46:16Z
date_updated: 2024-04-03T09:16:19Z
department:
- _id: '841'
language:
- iso: eng
publication: arXiv
status: public
title: A convergent finite element algorithm for mean curvature flow in higher codimension
type: journal_article
user_id: '100441'
year: '2021'
...
---
_id: '45962'
abstract:
- lang: eng
text: "Abstract\r\n An algorithm
is proposed for generalized mean curvature flow of closed two-dimensional surfaces,
which include inverse mean curvature flow and powers of mean and inverse mean
curvature flow. Error estimates are proved for semidiscretizations and full discretizations
for the generalized flow. The algorithm proposed and studied here combines evolving
surface finite elements, whose nodes determine the discrete surface, and linearly
implicit backward difference formulae for time integration. The numerical method
is based on a system coupling the surface evolution to nonlinear second-order
parabolic evolution equations for the normal velocity and normal vector. A convergence
proof is presented in the case of finite elements of polynomial degree at least
2 and backward difference formulae of orders 2 to 5. The error analysis combines
stability estimates and consistency estimates to yield optimal-order $H^1$-norm
error bounds for the computed surface position, velocity, normal vector, normal
velocity and therefore for the mean curvature. The stability analysis is performed
in the matrix–vector formulation and is independent of geometric arguments, which
only enter the consistency analysis. Numerical experiments are presented to illustrate
the convergence results and also to report on monotone quantities, e.g. Hawking
mass for inverse mean curvature flow, and complemented by experiments for nonconvex
surfaces."
author:
- first_name: Tim
full_name: Binz, Tim
last_name: Binz
- first_name: Balázs
full_name: Kovács, Balázs
id: '100441'
last_name: Kovács
orcid: 0000-0001-9872-3474
citation:
ama: Binz T, Kovács B. A convergent finite element algorithm for generalized mean
curvature flows of closed surfaces. IMA Journal of Numerical Analysis.
2021;42(3):2545-2588. doi:10.1093/imanum/drab043
apa: Binz, T., & Kovács, B. (2021). A convergent finite element algorithm for
generalized mean curvature flows of closed surfaces. IMA Journal of Numerical
Analysis, 42(3), 2545–2588. https://doi.org/10.1093/imanum/drab043
bibtex: '@article{Binz_Kovács_2021, title={A convergent finite element algorithm
for generalized mean curvature flows of closed surfaces}, volume={42}, DOI={10.1093/imanum/drab043}, number={3},
journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press
(OUP)}, author={Binz, Tim and Kovács, Balázs}, year={2021}, pages={2545–2588}
}'
chicago: 'Binz, Tim, and Balázs Kovács. “A Convergent Finite Element Algorithm for
Generalized Mean Curvature Flows of Closed Surfaces.” IMA Journal of Numerical
Analysis 42, no. 3 (2021): 2545–88. https://doi.org/10.1093/imanum/drab043.'
ieee: 'T. Binz and B. Kovács, “A convergent finite element algorithm for generalized
mean curvature flows of closed surfaces,” IMA Journal of Numerical Analysis,
vol. 42, no. 3, pp. 2545–2588, 2021, doi: 10.1093/imanum/drab043.'
mla: Binz, Tim, and Balázs Kovács. “A Convergent Finite Element Algorithm for Generalized
Mean Curvature Flows of Closed Surfaces.” IMA Journal of Numerical Analysis,
vol. 42, no. 3, Oxford University Press (OUP), 2021, pp. 2545–88, doi:10.1093/imanum/drab043.
short: T. Binz, B. Kovács, IMA Journal of Numerical Analysis 42 (2021) 2545–2588.
date_created: 2023-07-10T11:44:41Z
date_updated: 2024-04-03T09:18:40Z
department:
- _id: '841'
doi: 10.1093/imanum/drab043
intvolume: ' 42'
issue: '3'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
page: 2545-2588
publication: IMA Journal of Numerical Analysis
publication_identifier:
issn:
- 0272-4979
- 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: A convergent finite element algorithm for generalized mean curvature flows
of closed surfaces
type: journal_article
user_id: '100441'
volume: 42
year: '2021'
...
---
_id: '45957'
abstract:
- lang: eng
text: AbstractA proof of convergence is given for
a bulk–surface finite element semidiscretisation of the Cahn–Hilliard equation
with Cahn–Hilliard-type dynamic boundary conditions in a smooth domain. The semidiscretisation
is studied in an abstract weak formulation as a second-order system. Optimal-order
uniform-in-time error estimates are shown in the $L^2$- and $H^1$-norms. The error
estimates are based on a consistency and stability analysis. The proof of stability
is performed in an abstract framework, based on energy estimates exploiting the
anti-symmetric structure of the second-order system. Numerical experiments illustrate
the theoretical results.
author:
- first_name: Paula
full_name: Harder, Paula
last_name: Harder
- first_name: Balázs
full_name: Kovács, Balázs
id: '100441'
last_name: Kovács
orcid: 0000-0001-9872-3474
citation:
ama: Harder P, Kovács B. Error estimates for the Cahn–Hilliard equation with dynamic
boundary conditions. IMA Journal of Numerical Analysis. 2021;42(3):2589-2620.
doi:10.1093/imanum/drab045
apa: Harder, P., & Kovács, B. (2021). Error estimates for the Cahn–Hilliard
equation with dynamic boundary conditions. IMA Journal of Numerical Analysis,
42(3), 2589–2620. https://doi.org/10.1093/imanum/drab045
bibtex: '@article{Harder_Kovács_2021, title={Error estimates for the Cahn–Hilliard
equation with dynamic boundary conditions}, volume={42}, DOI={10.1093/imanum/drab045},
number={3}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University
Press (OUP)}, author={Harder, Paula and Kovács, Balázs}, year={2021}, pages={2589–2620}
}'
chicago: 'Harder, Paula, and Balázs Kovács. “Error Estimates for the Cahn–Hilliard
Equation with Dynamic Boundary Conditions.” IMA Journal of Numerical Analysis
42, no. 3 (2021): 2589–2620. https://doi.org/10.1093/imanum/drab045.'
ieee: 'P. Harder and B. Kovács, “Error estimates for the Cahn–Hilliard equation
with dynamic boundary conditions,” IMA Journal of Numerical Analysis, vol.
42, no. 3, pp. 2589–2620, 2021, doi: 10.1093/imanum/drab045.'
mla: Harder, Paula, and Balázs Kovács. “Error Estimates for the Cahn–Hilliard Equation
with Dynamic Boundary Conditions.” IMA Journal of Numerical Analysis, vol.
42, no. 3, Oxford University Press (OUP), 2021, pp. 2589–620, doi:10.1093/imanum/drab045.
short: P. Harder, B. Kovács, IMA Journal of Numerical Analysis 42 (2021) 2589–2620.
date_created: 2023-07-10T11:43:28Z
date_updated: 2024-04-03T09:20:15Z
department:
- _id: '841'
doi: 10.1093/imanum/drab045
intvolume: ' 42'
issue: '3'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
page: 2589-2620
publication: IMA Journal of Numerical Analysis
publication_identifier:
issn:
- 0272-4979
- 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions
type: journal_article
user_id: '100441'
volume: 42
year: '2021'
...
---
_id: '45961'
author:
- first_name: Jörg
full_name: Nick, Jörg
last_name: Nick
- 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: 'Nick J, Kovács B, Lubich C. Correction to: Stable and convergent fully discrete
interior–exterior coupling of Maxwell’s equations. Numerische Mathematik.
2021;147(4):997-1000. doi:10.1007/s00211-021-01196-6'
apa: 'Nick, J., Kovács, B., & Lubich, C. (2021). Correction to: Stable and convergent
fully discrete interior–exterior coupling of Maxwell’s equations. Numerische
Mathematik, 147(4), 997–1000. https://doi.org/10.1007/s00211-021-01196-6'
bibtex: '@article{Nick_Kovács_Lubich_2021, title={Correction to: Stable and convergent
fully discrete interior–exterior coupling of Maxwell’s equations}, volume={147},
DOI={10.1007/s00211-021-01196-6},
number={4}, journal={Numerische Mathematik}, publisher={Springer Science and Business
Media LLC}, author={Nick, Jörg and Kovács, Balázs and Lubich, Christian}, year={2021},
pages={997–1000} }'
chicago: 'Nick, Jörg, Balázs Kovács, and Christian Lubich. “Correction to: Stable
and Convergent Fully Discrete Interior–Exterior Coupling of Maxwell’s Equations.”
Numerische Mathematik 147, no. 4 (2021): 997–1000. https://doi.org/10.1007/s00211-021-01196-6.'
ieee: 'J. Nick, B. Kovács, and C. Lubich, “Correction to: Stable and convergent
fully discrete interior–exterior coupling of Maxwell’s equations,” Numerische
Mathematik, vol. 147, no. 4, pp. 997–1000, 2021, doi: 10.1007/s00211-021-01196-6.'
mla: 'Nick, Jörg, et al. “Correction to: Stable and Convergent Fully Discrete Interior–Exterior
Coupling of Maxwell’s Equations.” Numerische Mathematik, vol. 147, no.
4, Springer Science and Business Media LLC, 2021, pp. 997–1000, doi:10.1007/s00211-021-01196-6.'
short: J. Nick, B. Kovács, C. Lubich, Numerische Mathematik 147 (2021) 997–1000.
date_created: 2023-07-10T11:44:25Z
date_updated: 2024-04-03T09:18:52Z
department:
- _id: '841'
doi: 10.1007/s00211-021-01196-6
intvolume: ' 147'
issue: '4'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 997-1000
publication: Numerische Mathematik
publication_identifier:
issn:
- 0029-599X
- 0945-3245
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: 'Correction to: Stable and convergent fully discrete interior–exterior coupling
of Maxwell’s equations'
type: journal_article
user_id: '100441'
volume: 147
year: '2021'
...
---
_id: '45959'
author:
- first_name: Balázs
full_name: Kovács, Balázs
last_name: Kovács
- 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 evolving finite element algorithm for
Willmore flow of closed surfaces. Numerische Mathematik. 2021;149(3):595-643.
doi:10.1007/s00211-021-01238-z
apa: Kovács, B., Li, B., & Lubich, C. (2021). A convergent evolving finite element
algorithm for Willmore flow of closed surfaces. Numerische Mathematik,
149(3), 595–643. https://doi.org/10.1007/s00211-021-01238-z
bibtex: '@article{Kovács_Li_Lubich_2021, title={A convergent evolving finite element
algorithm for Willmore flow of closed surfaces}, volume={149}, DOI={10.1007/s00211-021-01238-z},
number={3}, journal={Numerische Mathematik}, publisher={Springer Science and Business
Media LLC}, author={Kovács, Balázs and Li, Buyang and Lubich, Christian}, year={2021},
pages={595–643} }'
chicago: 'Kovács, Balázs, Buyang Li, and Christian Lubich. “A Convergent Evolving
Finite Element Algorithm for Willmore Flow of Closed Surfaces.” Numerische
Mathematik 149, no. 3 (2021): 595–643. https://doi.org/10.1007/s00211-021-01238-z.'
ieee: 'B. Kovács, B. Li, and C. Lubich, “A convergent evolving finite element algorithm
for Willmore flow of closed surfaces,” Numerische Mathematik, vol. 149,
no. 3, pp. 595–643, 2021, doi: 10.1007/s00211-021-01238-z.'
mla: Kovács, Balázs, et al. “A Convergent Evolving Finite Element Algorithm for
Willmore Flow of Closed Surfaces.” Numerische Mathematik, vol. 149, no.
3, Springer Science and Business Media LLC, 2021, pp. 595–643, doi:10.1007/s00211-021-01238-z.
short: B. Kovács, B. Li, C. Lubich, Numerische Mathematik 149 (2021) 595–643.
date_created: 2023-07-10T11:43:59Z
date_updated: 2024-04-03T09:19:20Z
department:
- _id: '841'
doi: 10.1007/s00211-021-01238-z
intvolume: ' 149'
issue: '3'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 595-643
publication: Numerische Mathematik
publication_identifier:
issn:
- 0029-599X
- 0945-3245
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: A convergent evolving finite element algorithm for Willmore flow of closed
surfaces
type: journal_article
user_id: '100441'
volume: 149
year: '2021'
...
---
_id: '34629'
article_number: '113061'
author:
- first_name: Kerstin
full_name: Hesse, Kerstin
id: '42608'
last_name: Hesse
orcid: 0000-0003-4125-1941
- first_name: Ian H.
full_name: Sloan, Ian H.
last_name: Sloan
- first_name: Robert S.
full_name: Womersley, Robert S.
last_name: Womersley
citation:
ama: Hesse K, Sloan IH, Womersley RS. Local RBF-based penalized least-squares approximation
on the sphere with noisy scattered data. Journal of Computational and Applied
Mathematics. 2021;382. doi:10.1016/j.cam.2020.113061
apa: Hesse, K., Sloan, I. H., & Womersley, R. S. (2021). Local RBF-based penalized
least-squares approximation on the sphere with noisy scattered data. Journal
of Computational and Applied Mathematics, 382, Article 113061. https://doi.org/10.1016/j.cam.2020.113061
bibtex: '@article{Hesse_Sloan_Womersley_2021, title={Local RBF-based penalized least-squares
approximation on the sphere with noisy scattered data}, volume={382}, DOI={10.1016/j.cam.2020.113061},
number={113061}, journal={Journal of Computational and Applied Mathematics}, publisher={Elsevier
BV}, author={Hesse, Kerstin and Sloan, Ian H. and Womersley, Robert S.}, year={2021}
}'
chicago: Hesse, Kerstin, Ian H. Sloan, and Robert S. Womersley. “Local RBF-Based
Penalized Least-Squares Approximation on the Sphere with Noisy Scattered Data.”
Journal of Computational and Applied Mathematics 382 (2021). https://doi.org/10.1016/j.cam.2020.113061.
ieee: 'K. Hesse, I. H. Sloan, and R. S. Womersley, “Local RBF-based penalized least-squares
approximation on the sphere with noisy scattered data,” Journal of Computational
and Applied Mathematics, vol. 382, Art. no. 113061, 2021, doi: 10.1016/j.cam.2020.113061.'
mla: Hesse, Kerstin, et al. “Local RBF-Based Penalized Least-Squares Approximation
on the Sphere with Noisy Scattered Data.” Journal of Computational and Applied
Mathematics, vol. 382, 113061, Elsevier BV, 2021, doi:10.1016/j.cam.2020.113061.
short: K. Hesse, I.H. Sloan, R.S. Womersley, Journal of Computational and Applied
Mathematics 382 (2021).
date_created: 2022-12-20T17:26:44Z
date_updated: 2024-04-03T11:04:23Z
department:
- _id: '10'
doi: 10.1016/j.cam.2020.113061
intvolume: ' 382'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
publication: Journal of Computational and Applied Mathematics
publication_identifier:
issn:
- 0377-0427
publication_status: published
publisher: Elsevier BV
status: public
title: Local RBF-based penalized least-squares approximation on the sphere with noisy
scattered data
type: journal_article
user_id: '49063'
volume: 382
year: '2021'
...