---
_id: '48894'
abstract:
- lang: eng
text: Recently different evolutionary computation approaches have been developed
that generate sets of high quality diverse solutions for a given optimisation
problem. Many studies have considered diversity 1) as a mean to explore niches
in behavioural space (quality diversity) or 2) to increase the structural differences
of solutions (evolutionary diversity optimisation). In this study, we introduce
a co-evolutionary algorithm to simultaneously explore the two spaces for the multi-component
traveling thief problem. The results show the capability of the co-evolutionary
algorithm to achieve significantly higher diversity compared to the baseline evolutionary
diversity algorithms from the literature.
author:
- first_name: Adel
full_name: Nikfarjam, Adel
last_name: Nikfarjam
- first_name: Aneta
full_name: Neumann, Aneta
last_name: Neumann
- first_name: Jakob
full_name: Bossek, Jakob
id: '102979'
last_name: Bossek
orcid: 0000-0002-4121-4668
- first_name: Frank
full_name: Neumann, Frank
last_name: Neumann
citation:
ama: 'Nikfarjam A, Neumann A, Bossek J, Neumann F. Co-Evolutionary Diversity Optimisation
for the Traveling Thief Problem. In: Rudolph G, Kononova AV, Aguirre H, Kerschke
P, Ochoa G, Tu\v sar T, eds. Parallel Problem Solving from Nature (PPSN XVII).
Lecture Notes in Computer Science. Springer International Publishing; 2022:237–249.
doi:10.1007/978-3-031-14714-2_17'
apa: Nikfarjam, A., Neumann, A., Bossek, J., & Neumann, F. (2022). Co-Evolutionary
Diversity Optimisation for the Traveling Thief Problem. In G. Rudolph, A. V. Kononova,
H. Aguirre, P. Kerschke, G. Ochoa, & T. Tu\v sar (Eds.), Parallel Problem
Solving from Nature (PPSN XVII) (pp. 237–249). Springer International Publishing.
https://doi.org/10.1007/978-3-031-14714-2_17
bibtex: '@inproceedings{Nikfarjam_Neumann_Bossek_Neumann_2022, place={Cham}, series={Lecture
Notes in Computer Science}, title={Co-Evolutionary Diversity Optimisation for
the Traveling Thief Problem}, DOI={10.1007/978-3-031-14714-2_17},
booktitle={Parallel Problem Solving from Nature (PPSN XVII)}, publisher={Springer
International Publishing}, author={Nikfarjam, Adel and Neumann, Aneta and Bossek,
Jakob and Neumann, Frank}, editor={Rudolph, Günter and Kononova, Anna V. and Aguirre,
Hernán and Kerschke, Pascal and Ochoa, Gabriela and Tu\v sar, Tea}, year={2022},
pages={237–249}, collection={Lecture Notes in Computer Science} }'
chicago: 'Nikfarjam, Adel, Aneta Neumann, Jakob Bossek, and Frank Neumann. “Co-Evolutionary
Diversity Optimisation for the Traveling Thief Problem.” In Parallel Problem
Solving from Nature (PPSN XVII), edited by Günter Rudolph, Anna V. Kononova,
Hernán Aguirre, Pascal Kerschke, Gabriela Ochoa, and Tea Tu\v sar, 237–249. Lecture
Notes in Computer Science. Cham: Springer International Publishing, 2022. https://doi.org/10.1007/978-3-031-14714-2_17.'
ieee: 'A. Nikfarjam, A. Neumann, J. Bossek, and F. Neumann, “Co-Evolutionary Diversity
Optimisation for the Traveling Thief Problem,” in Parallel Problem Solving
from Nature (PPSN XVII), 2022, pp. 237–249, doi: 10.1007/978-3-031-14714-2_17.'
mla: Nikfarjam, Adel, et al. “Co-Evolutionary Diversity Optimisation for the Traveling
Thief Problem.” Parallel Problem Solving from Nature (PPSN XVII), edited
by Günter Rudolph et al., Springer International Publishing, 2022, pp. 237–249,
doi:10.1007/978-3-031-14714-2_17.
short: 'A. Nikfarjam, A. Neumann, J. Bossek, F. Neumann, in: G. Rudolph, A.V. Kononova,
H. Aguirre, P. Kerschke, G. Ochoa, T. Tu\v sar (Eds.), Parallel Problem Solving
from Nature (PPSN XVII), Springer International Publishing, Cham, 2022, pp. 237–249.'
date_created: 2023-11-14T15:59:00Z
date_updated: 2023-12-13T10:49:51Z
department:
- _id: '819'
doi: 10.1007/978-3-031-14714-2_17
editor:
- first_name: Günter
full_name: Rudolph, Günter
last_name: Rudolph
- first_name: Anna V.
full_name: Kononova, Anna V.
last_name: Kononova
- first_name: Hernán
full_name: Aguirre, Hernán
last_name: Aguirre
- first_name: Pascal
full_name: Kerschke, Pascal
last_name: Kerschke
- first_name: Gabriela
full_name: Ochoa, Gabriela
last_name: Ochoa
- first_name: Tea
full_name: Tu\v sar, Tea
last_name: Tu\v sar
extern: '1'
keyword:
- Co-evolutionary algorithms
- Evolutionary diversity optimisation
- Quality diversity
- Traveling thief problem
language:
- iso: eng
page: 237–249
place: Cham
publication: Parallel Problem Solving from Nature (PPSN XVII)
publication_identifier:
isbn:
- 978-3-031-14714-2
publication_status: published
publisher: Springer International Publishing
series_title: Lecture Notes in Computer Science
status: public
title: Co-Evolutionary Diversity Optimisation for the Traveling Thief Problem
type: conference
user_id: '102979'
year: '2022'
...
---
_id: '48878'
abstract:
- lang: eng
text: Due to the rise of continuous data-generating applications, analyzing data
streams has gained increasing attention over the past decades. A core research
area in stream data is stream classification, which categorizes or detects data
points within an evolving stream of observations. Areas of stream classification
are diverse\textemdash ranging, e.g., from monitoring sensor data to analyzing
a wide range of (social) media applications. Research in stream classification
is related to developing methods that adapt to the changing and potentially volatile
data stream. It focuses on individual aspects of the stream classification pipeline,
e.g., designing suitable algorithm architectures, an efficient train and test
procedure, or detecting so-called concept drifts. As a result of the many different
research questions and strands, the field is challenging to grasp, especially
for beginners. This survey explores, summarizes, and categorizes work within the
domain of stream classification and identifies core research threads over the
past few years. It is structured based on the stream classification process to
facilitate coordination within this complex topic, including common application
scenarios and benchmarking data sets. Thus, both newcomers to the field and experts
who want to widen their scope can gain (additional) insight into this research
area and find starting points and pointers to more in-depth literature on specific
issues and research directions in the field.
author:
- first_name: Lena
full_name: Clever, Lena
last_name: Clever
- first_name: Janina Susanne
full_name: Pohl, Janina Susanne
last_name: Pohl
- first_name: Jakob
full_name: Bossek, Jakob
id: '102979'
last_name: Bossek
orcid: 0000-0002-4121-4668
- first_name: Pascal
full_name: Kerschke, Pascal
last_name: Kerschke
- first_name: Heike
full_name: Trautmann, Heike
last_name: Trautmann
citation:
ama: 'Clever L, Pohl JS, Bossek J, Kerschke P, Trautmann H. Process-Oriented Stream
Classification Pipeline: A Literature Review. Applied Sciences. 2022;12(18):9094.
doi:10.3390/app12189094'
apa: 'Clever, L., Pohl, J. S., Bossek, J., Kerschke, P., & Trautmann, H. (2022).
Process-Oriented Stream Classification Pipeline: A Literature Review. Applied
Sciences, 12(18), 9094. https://doi.org/10.3390/app12189094'
bibtex: '@article{Clever_Pohl_Bossek_Kerschke_Trautmann_2022, title={Process-Oriented
Stream Classification Pipeline: A Literature Review}, volume={12}, DOI={10.3390/app12189094},
number={18}, journal={Applied Sciences}, publisher={{Multidisciplinary Digital
Publishing Institute}}, author={Clever, Lena and Pohl, Janina Susanne and Bossek,
Jakob and Kerschke, Pascal and Trautmann, Heike}, year={2022}, pages={9094} }'
chicago: 'Clever, Lena, Janina Susanne Pohl, Jakob Bossek, Pascal Kerschke, and
Heike Trautmann. “Process-Oriented Stream Classification Pipeline: A Literature
Review.” Applied Sciences 12, no. 18 (2022): 9094. https://doi.org/10.3390/app12189094.'
ieee: 'L. Clever, J. S. Pohl, J. Bossek, P. Kerschke, and H. Trautmann, “Process-Oriented
Stream Classification Pipeline: A Literature Review,” Applied Sciences,
vol. 12, no. 18, p. 9094, 2022, doi: 10.3390/app12189094.'
mla: 'Clever, Lena, et al. “Process-Oriented Stream Classification Pipeline: A Literature
Review.” Applied Sciences, vol. 12, no. 18, {Multidisciplinary Digital
Publishing Institute}, 2022, p. 9094, doi:10.3390/app12189094.'
short: L. Clever, J.S. Pohl, J. Bossek, P. Kerschke, H. Trautmann, Applied Sciences
12 (2022) 9094.
date_created: 2023-11-14T15:58:57Z
date_updated: 2023-12-13T10:50:56Z
department:
- _id: '819'
doi: 10.3390/app12189094
intvolume: ' 12'
issue: '18'
keyword:
- big data
- data mining
- data stream analysis
- machine learning
- stream classification
- supervised learning
language:
- iso: eng
page: '9094'
publication: Applied Sciences
publication_identifier:
issn:
- 2076-3417
publisher: '{Multidisciplinary Digital Publishing Institute}'
status: public
title: 'Process-Oriented Stream Classification Pipeline: A Literature Review'
type: journal_article
user_id: '102979'
volume: 12
year: '2022'
...
---
_id: '48896'
abstract:
- lang: eng
text: Hardness of Multi-Objective (MO) continuous optimization problems results
from an interplay of various problem characteristics, e. g. the degree of multi-modality.
We present a benchmark study of classical and diversity focused optimizers on
multi-modal MO problems based on automated algorithm configuration. We show the
large effect of the latter and investigate the trade-off between convergence in
objective space and diversity in decision space.
author:
- first_name: Jeroen
full_name: Rook, Jeroen
last_name: Rook
- first_name: Heike
full_name: Trautmann, Heike
last_name: Trautmann
- first_name: Jakob
full_name: Bossek, Jakob
id: '102979'
last_name: Bossek
orcid: 0000-0002-4121-4668
- first_name: Christian
full_name: Grimme, Christian
last_name: Grimme
citation:
ama: 'Rook J, Trautmann H, Bossek J, Grimme C. On the Potential of Automated Algorithm
Configuration on Multi-Modal Multi-Objective Optimization Problems. In: Proceedings
of the Genetic and Evolutionary Computation Conference Companion. GECCO’22.
Association for Computing Machinery; 2022:356–359. doi:10.1145/3520304.3528998'
apa: Rook, J., Trautmann, H., Bossek, J., & Grimme, C. (2022). On the Potential
of Automated Algorithm Configuration on Multi-Modal Multi-Objective Optimization
Problems. Proceedings of the Genetic and Evolutionary Computation Conference
Companion, 356–359. https://doi.org/10.1145/3520304.3528998
bibtex: '@inproceedings{Rook_Trautmann_Bossek_Grimme_2022, place={New York, NY,
USA}, series={GECCO’22}, title={On the Potential of Automated Algorithm Configuration
on Multi-Modal Multi-Objective Optimization Problems}, DOI={10.1145/3520304.3528998},
booktitle={Proceedings of the Genetic and Evolutionary Computation Conference
Companion}, publisher={Association for Computing Machinery}, author={Rook, Jeroen
and Trautmann, Heike and Bossek, Jakob and Grimme, Christian}, year={2022}, pages={356–359},
collection={GECCO’22} }'
chicago: 'Rook, Jeroen, Heike Trautmann, Jakob Bossek, and Christian Grimme. “On
the Potential of Automated Algorithm Configuration on Multi-Modal Multi-Objective
Optimization Problems.” In Proceedings of the Genetic and Evolutionary Computation
Conference Companion, 356–359. GECCO’22. New York, NY, USA: Association for
Computing Machinery, 2022. https://doi.org/10.1145/3520304.3528998.'
ieee: 'J. Rook, H. Trautmann, J. Bossek, and C. Grimme, “On the Potential of Automated
Algorithm Configuration on Multi-Modal Multi-Objective Optimization Problems,”
in Proceedings of the Genetic and Evolutionary Computation Conference Companion,
2022, pp. 356–359, doi: 10.1145/3520304.3528998.'
mla: Rook, Jeroen, et al. “On the Potential of Automated Algorithm Configuration
on Multi-Modal Multi-Objective Optimization Problems.” Proceedings of the Genetic
and Evolutionary Computation Conference Companion, Association for Computing
Machinery, 2022, pp. 356–359, doi:10.1145/3520304.3528998.
short: 'J. Rook, H. Trautmann, J. Bossek, C. Grimme, in: Proceedings of the Genetic
and Evolutionary Computation Conference Companion, Association for Computing Machinery,
New York, NY, USA, 2022, pp. 356–359.'
date_created: 2023-11-14T15:59:00Z
date_updated: 2023-12-13T10:50:24Z
department:
- _id: '819'
doi: 10.1145/3520304.3528998
extern: '1'
keyword:
- configuration
- multi-modality
- multi-objective optimization
language:
- iso: eng
page: 356–359
place: New York, NY, USA
publication: Proceedings of the Genetic and Evolutionary Computation Conference Companion
publication_identifier:
isbn:
- 978-1-4503-9268-6
publisher: Association for Computing Machinery
series_title: GECCO’22
status: public
title: On the Potential of Automated Algorithm Configuration on Multi-Modal Multi-Objective
Optimization Problems
type: conference
user_id: '102979'
year: '2022'
...
---
_id: '31057'
abstract:
- lang: eng
text: In this paper we give an overview over some aspects of the modern mathematical
theory of Ruelle resonances for chaotic, i.e. uniformly hyperbolic, dynamical
systems and their implications in physics. First we recall recent developments
in the mathematical theory of resonances, in particular how invariant Ruelle distributions
arise as residues of weighted zeta functions. Then we derive a correspondence
between weighted and semiclassical zeta functions in the setting of negatively
curved surfaces. Combining this with results of Hilgert, Guillarmou and Weich
yields a high frequency interpretation of invariant Ruelle distributions as quantum
mechanical matrix coefficients in constant negative curvature. We finish by presenting
numerical calculations of phase space distributions in the more physical setting
of 3-disk scattering systems.
article_number: '244007'
article_type: review
author:
- first_name: Sonja
full_name: Barkhofen, Sonja
id: '48188'
last_name: Barkhofen
- first_name: Philipp
full_name: Schütte, Philipp
id: '50168'
last_name: Schütte
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
citation:
ama: 'Barkhofen S, Schütte P, Weich T. Semiclassical formulae For Wigner distributions.
Journal of Physics A: Mathematical and Theoretical. 2022;55(24). doi:10.1088/1751-8121/ac6d2b'
apa: 'Barkhofen, S., Schütte, P., & Weich, T. (2022). Semiclassical formulae
For Wigner distributions. Journal of Physics A: Mathematical and Theoretical,
55(24), Article 244007. https://doi.org/10.1088/1751-8121/ac6d2b'
bibtex: '@article{Barkhofen_Schütte_Weich_2022, title={Semiclassical formulae For
Wigner distributions}, volume={55}, DOI={10.1088/1751-8121/ac6d2b},
number={24244007}, journal={Journal of Physics A: Mathematical and Theoretical},
publisher={IOP Publishing Ltd}, author={Barkhofen, Sonja and Schütte, Philipp
and Weich, Tobias}, year={2022} }'
chicago: 'Barkhofen, Sonja, Philipp Schütte, and Tobias Weich. “Semiclassical Formulae
For Wigner Distributions.” Journal of Physics A: Mathematical and Theoretical
55, no. 24 (2022). https://doi.org/10.1088/1751-8121/ac6d2b.'
ieee: 'S. Barkhofen, P. Schütte, and T. Weich, “Semiclassical formulae For Wigner
distributions,” Journal of Physics A: Mathematical and Theoretical, vol.
55, no. 24, Art. no. 244007, 2022, doi: 10.1088/1751-8121/ac6d2b.'
mla: 'Barkhofen, Sonja, et al. “Semiclassical Formulae For Wigner Distributions.”
Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 24, 244007,
IOP Publishing Ltd, 2022, doi:10.1088/1751-8121/ac6d2b.'
short: 'S. Barkhofen, P. Schütte, T. Weich, Journal of Physics A: Mathematical and
Theoretical 55 (2022).'
date_created: 2022-05-04T12:23:11Z
date_updated: 2024-02-06T20:40:45Z
department:
- _id: '623'
- _id: '548'
- _id: '10'
doi: 10.1088/1751-8121/ac6d2b
external_id:
arxiv:
- '2201.04892'
intvolume: ' 55'
issue: '24'
language:
- iso: eng
publication: 'Journal of Physics A: Mathematical and Theoretical'
publisher: IOP Publishing Ltd
status: public
title: Semiclassical formulae For Wigner distributions
type: journal_article
user_id: '49178'
volume: 55
year: '2022'
...
---
_id: '31363'
abstract:
- lang: eng
text: Vorgestellt wird ein Entwicklungsforschungsprojekt zur Konzeption und Durchführung
einer Veranstaltung "Geometrie für Lehramtsstudierende". Die Schwerpunkte des
Projekts sind zum einen die inhaltliche Gestaltung der Veranstaltung und zum anderen
die Umsetzung von Professionsorientierung. Bezogen auf den inhaltlichen Aufbau
wird das auf metrischen Räumen aufbauende Axiomensystem der "Saccheri-Ebene" vorgestellt
und mit alternativen axiomatischen Zugängen zur ebenen Geometrie verglichen. Die
Frage nach der Umsetzung von Professionsorientierung in Fachveranstaltungen ist
eng mit der Problematik der zweiten Diskontinuität verbunden. In der Arbeit wird
dieses Problem auf Grundlage der Synthese von theoretischen Hintergründen zur
Bedeutung von mathematischem Wissen und Können für professionelle Handlungskompetenz
von Mathematiklehrkräften diskutiert und darauf aufbauend werden theoriebasierte
Entwurfsprinzipien für professionsorientierte Fachveranstaltungen entworfen. Zentrale
Elemente der methodischen Gestaltung sind die sogenannten "Schnittstellenwochen"
zu den Themen Kongruenz und Symmetrie sowie das begleitende Schnittstellen-ePortfolio.
Das zentrale Ergebnis der Arbeit ist ein theoretisch fundiertes und empirisch
evaluiertes ganzheitliches Veranstaltungskonzept für eine professionsorientierte
Geometrie-Veranstaltung für Lehramtsstudierende, dessen Konzeption auf andere
Fachveranstaltungen übertragbar ist. Darüber hinaus ergeben sich im Rahmen der
durchgeführten Entwicklungsforschung verschiedene neue Beiträge zur Geometriedidaktik
in Schule- und Hochschule.
- lang: eng
text: This thesis presents a design research project on the conception and implementation
of a course "Geometry for Student Teachers". The focal points of the project are,
on the one hand, the content structure of the course and, on the other hand, the
implementation of professional orientation. With regard to the content structure,
the axiom system of the "Saccheri plane", which is based on metric spaces, is
presented and compared with alternative axiomatic approaches to plane geometry.
The question of implementing professional orientation in mathematics courses is
closely connected to the problem of the second discontinuity. In the paper, this
problem is discussed on the basis of the synthesis of theoretical backgrounds
on the importance of mathematical knowledge and skills for professional competence
of mathematics teachers. Building on this, theory-based design principles for
profession-oriented subject courses are developed. Central elements of the methodological
design are the so-called "interface weeks" on the topics of congruence and symmetry
and an accompanying interface ePortfolio. The central result of the thesis is
a theoretically founded and empirically evaluated holistic course concept for
a profession-oriented geometry course for student teachers, the conception of
which is transferable to other subject events. In addition, various new contributions
to the didactics of geometry in schools and universities result from the desing
research.
author:
- first_name: Max
full_name: Hoffmann, Max
id: '32202'
last_name: Hoffmann
orcid: 0000-0002-6964-7123
citation:
ama: 'Hoffmann M. Von Der Axiomatik Bis Zur Schnittstellenaufgabe: Entwicklung
Und Erforschung Eines Ganzheitlichen Lehrkonzepts Für Eine Veranstaltung Geometrie
Für Lehramtsstudierende.; 2022. doi:10.17619/UNIPB/1-1313'
apa: 'Hoffmann, M. (2022). Von der Axiomatik bis zur Schnittstellenaufgabe: Entwicklung
und Erforschung eines ganzheitlichen Lehrkonzepts für eine Veranstaltung Geometrie
für Lehramtsstudierende. https://doi.org/10.17619/UNIPB/1-1313'
bibtex: '@book{Hoffmann_2022, title={Von der Axiomatik bis zur Schnittstellenaufgabe:
Entwicklung und Erforschung eines ganzheitlichen Lehrkonzepts für eine Veranstaltung
Geometrie für Lehramtsstudierende}, DOI={10.17619/UNIPB/1-1313},
author={Hoffmann, Max}, year={2022} }'
chicago: 'Hoffmann, Max. Von Der Axiomatik Bis Zur Schnittstellenaufgabe: Entwicklung
Und Erforschung Eines Ganzheitlichen Lehrkonzepts Für Eine Veranstaltung Geometrie
Für Lehramtsstudierende, 2022. https://doi.org/10.17619/UNIPB/1-1313.'
ieee: 'M. Hoffmann, Von der Axiomatik bis zur Schnittstellenaufgabe: Entwicklung
und Erforschung eines ganzheitlichen Lehrkonzepts für eine Veranstaltung Geometrie
für Lehramtsstudierende. 2022.'
mla: 'Hoffmann, Max. Von Der Axiomatik Bis Zur Schnittstellenaufgabe: Entwicklung
Und Erforschung Eines Ganzheitlichen Lehrkonzepts Für Eine Veranstaltung Geometrie
Für Lehramtsstudierende. 2022, doi:10.17619/UNIPB/1-1313.'
short: 'M. Hoffmann, Von Der Axiomatik Bis Zur Schnittstellenaufgabe: Entwicklung
Und Erforschung Eines Ganzheitlichen Lehrkonzepts Für Eine Veranstaltung Geometrie
Für Lehramtsstudierende, 2022.'
date_created: 2022-05-22T10:56:47Z
date_updated: 2024-02-19T06:28:58Z
department:
- _id: '97'
doi: 10.17619/UNIPB/1-1313
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://digital.ub.uni-paderborn.de/hs/content/titleinfo/6503170
oa: '1'
page: '410'
status: public
supervisor:
- first_name: Rolf
full_name: Biehler, Rolf
last_name: Biehler
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
title: 'Von der Axiomatik bis zur Schnittstellenaufgabe: Entwicklung und Erforschung
eines ganzheitlichen Lehrkonzepts für eine Veranstaltung Geometrie für Lehramtsstudierende'
type: dissertation
user_id: '49063'
year: '2022'
...
---
_id: '35322'
author:
- first_name: Kai-Uwe
full_name: Bux, Kai-Uwe
last_name: Bux
- 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: Bux K-U, Hilgert J, Weich T. Poisson transforms for trees of bounded degree.
Journal of Spectral Theory. 2022;12(2):659-681. doi:10.4171/jst/414
apa: Bux, K.-U., Hilgert, J., & Weich, T. (2022). Poisson transforms for trees
of bounded degree. Journal of Spectral Theory, 12(2), 659–681. https://doi.org/10.4171/jst/414
bibtex: '@article{Bux_Hilgert_Weich_2022, title={Poisson transforms for trees of
bounded degree}, volume={12}, DOI={10.4171/jst/414},
number={2}, journal={Journal of Spectral Theory}, publisher={European Mathematical
Society - EMS - Publishing House GmbH}, author={Bux, Kai-Uwe and Hilgert, Joachim
and Weich, Tobias}, year={2022}, pages={659–681} }'
chicago: 'Bux, Kai-Uwe, Joachim Hilgert, and Tobias Weich. “Poisson Transforms for
Trees of Bounded Degree.” Journal of Spectral Theory 12, no. 2 (2022):
659–81. https://doi.org/10.4171/jst/414.'
ieee: 'K.-U. Bux, J. Hilgert, and T. Weich, “Poisson transforms for trees of bounded
degree,” Journal of Spectral Theory, vol. 12, no. 2, pp. 659–681, 2022,
doi: 10.4171/jst/414.'
mla: Bux, Kai-Uwe, et al. “Poisson Transforms for Trees of Bounded Degree.” Journal
of Spectral Theory, vol. 12, no. 2, European Mathematical Society - EMS -
Publishing House GmbH, 2022, pp. 659–81, doi:10.4171/jst/414.
short: K.-U. Bux, J. Hilgert, T. Weich, Journal of Spectral Theory 12 (2022) 659–681.
date_created: 2023-01-06T08:49:06Z
date_updated: 2024-02-19T06:28:12Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
- _id: '91'
doi: 10.4171/jst/414
intvolume: ' 12'
issue: '2'
keyword:
- Geometry and Topology
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 659-681
publication: Journal of Spectral Theory
publication_identifier:
issn:
- 1664-039X
publication_status: published
publisher: European Mathematical Society - EMS - Publishing House GmbH
status: public
title: Poisson transforms for trees of bounded degree
type: journal_article
user_id: '49063'
volume: 12
year: '2022'
...
---
_id: '51554'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: 'Hilgert J. Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second
Edition. AMS/MAA Press 2021. Mathematische Semesterberichte. 2022;69:151–153.
doi:10.1007/s00591-021-00314-7'
apa: 'Hilgert, J. (2022). Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics,
Second Edition. AMS/MAA Press 2021. In Mathematische Semesterberichte (Vol.
69, pp. 151–153). https://doi.org/10.1007/s00591-021-00314-7'
bibtex: '@article{Hilgert_2022, title={Ethan D. Bolker und Maura B. Mast: Common
Sense Mathematics, Second Edition. AMS/MAA Press 2021}, volume={69}, DOI={10.1007/s00591-021-00314-7},
journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2022},
pages={151–153} }'
chicago: 'Hilgert, Joachim. “Ethan D. Bolker Und Maura B. Mast: Common Sense Mathematics,
Second Edition. AMS/MAA Press 2021.” Mathematische Semesterberichte, 2022.
https://doi.org/10.1007/s00591-021-00314-7.'
ieee: 'J. Hilgert, “Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics,
Second Edition. AMS/MAA Press 2021,” Mathematische Semesterberichte, vol.
69. pp. 151–153, 2022, doi: 10.1007/s00591-021-00314-7.'
mla: 'Hilgert, Joachim. “Ethan D. Bolker Und Maura B. Mast: Common Sense Mathematics,
Second Edition. AMS/MAA Press 2021.” Mathematische Semesterberichte, vol.
69, 2022, pp. 151–153, doi:10.1007/s00591-021-00314-7.'
short: J. Hilgert, Mathematische Semesterberichte 69 (2022) 151–153.
date_created: 2024-02-20T09:49:04Z
date_updated: 2024-02-20T09:52:53Z
department:
- _id: '91'
doi: 10.1007/s00591-021-00314-7
intvolume: ' 69'
language:
- iso: eng
page: 151–153
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition.
AMS/MAA Press 2021'
type: review
user_id: '49063'
volume: 69
year: '2022'
...
---
_id: '52532'
author:
- first_name: Agatha S.
full_name: Rodrigues, Agatha S.
last_name: Rodrigues
- first_name: Pascal
full_name: Kerschke, Pascal
last_name: Kerschke
- first_name: Carlos Alberto De Bragança
full_name: Pereira, Carlos Alberto De Bragança
last_name: Pereira
- first_name: Heike
full_name: Trautmann, Heike
id: '100740'
last_name: Trautmann
orcid: 0000-0002-9788-8282
- first_name: Carolin
full_name: Wagner, Carolin
last_name: Wagner
- first_name: Bernd
full_name: Hellingrath, Bernd
last_name: Hellingrath
- first_name: Adriano
full_name: Polpo, Adriano
last_name: Polpo
citation:
ama: Rodrigues AS, Kerschke P, Pereira CADB, et al. Estimation of component reliability
from superposed renewal processes by means of latent variables. Comput Stat.
2022;37(1):355–379. doi:10.1007/S00180-021-01124-0
apa: Rodrigues, A. S., Kerschke, P., Pereira, C. A. D. B., Trautmann, H., Wagner,
C., Hellingrath, B., & Polpo, A. (2022). Estimation of component reliability
from superposed renewal processes by means of latent variables. Comput. Stat.,
37(1), 355–379. https://doi.org/10.1007/S00180-021-01124-0
bibtex: '@article{Rodrigues_Kerschke_Pereira_Trautmann_Wagner_Hellingrath_Polpo_2022,
title={Estimation of component reliability from superposed renewal processes by
means of latent variables}, volume={37}, DOI={10.1007/S00180-021-01124-0},
number={1}, journal={Comput. Stat.}, author={Rodrigues, Agatha S. and Kerschke,
Pascal and Pereira, Carlos Alberto De Bragança and Trautmann, Heike and Wagner,
Carolin and Hellingrath, Bernd and Polpo, Adriano}, year={2022}, pages={355–379}
}'
chicago: 'Rodrigues, Agatha S., Pascal Kerschke, Carlos Alberto De Bragança Pereira,
Heike Trautmann, Carolin Wagner, Bernd Hellingrath, and Adriano Polpo. “Estimation
of Component Reliability from Superposed Renewal Processes by Means of Latent
Variables.” Comput. Stat. 37, no. 1 (2022): 355–379. https://doi.org/10.1007/S00180-021-01124-0.'
ieee: 'A. S. Rodrigues et al., “Estimation of component reliability from
superposed renewal processes by means of latent variables,” Comput. Stat.,
vol. 37, no. 1, pp. 355–379, 2022, doi: 10.1007/S00180-021-01124-0.'
mla: Rodrigues, Agatha S., et al. “Estimation of Component Reliability from Superposed
Renewal Processes by Means of Latent Variables.” Comput. Stat., vol. 37,
no. 1, 2022, pp. 355–379, doi:10.1007/S00180-021-01124-0.
short: A.S. Rodrigues, P. Kerschke, C.A.D.B. Pereira, H. Trautmann, C. Wagner, B.
Hellingrath, A. Polpo, Comput. Stat. 37 (2022) 355–379.
date_created: 2024-03-13T09:59:21Z
date_updated: 2024-03-13T10:28:01Z
department:
- _id: '819'
doi: 10.1007/S00180-021-01124-0
intvolume: ' 37'
issue: '1'
language:
- iso: eng
page: 355–379
publication: Comput. Stat.
status: public
title: Estimation of component reliability from superposed renewal processes by means
of latent variables
type: journal_article
user_id: '15504'
volume: 37
year: '2022'
...
---
_id: '52850'
abstract:
- lang: eng
text: We report on our work with students in our data science courses, focusing
on the analysis of students’ results. This study represents an in-depth analysis
of students’ creation and documentation of machine learning models. The students
were supported by educationally designed Jupyter Notebooks, which are used as
worked examples. Using the worked example, students document their results in
a so-called computational essay. We examine which aspects of creating computational
essays are difficult for students to find out how worked examples should be designed
to support students without being too prescriptive. We analyze the computational
essays produced by students and draw consequences for redesigning our worked example.
author:
- first_name: Yannik
full_name: Fleischer, Yannik
last_name: Fleischer
- first_name: Sven
full_name: Hüsing, Sven
last_name: Hüsing
- first_name: Rolf
full_name: Biehler, Rolf
last_name: Biehler
- first_name: Susanne
full_name: Podworny, Susanne
last_name: Podworny
- first_name: Carsten
full_name: Schulte, Carsten
last_name: Schulte
citation:
ama: 'Fleischer Y, Hüsing S, Biehler R, Podworny S, Schulte C. Jupyter Notebooks
for Teaching, Learning, and Doing Data Science. In: Bridging the Gap: Empowering
and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International
Conference on Teaching Statistics. International Association for Statistical
Education; 2022. doi:10.52041/iase.icots11.t10e3'
apa: 'Fleischer, Y., Hüsing, S., Biehler, R., Podworny, S., & Schulte, C. (2022).
Jupyter Notebooks for Teaching, Learning, and Doing Data Science. Bridging
the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings
of the Eleventh International Conference on Teaching Statistics. https://doi.org/10.52041/iase.icots11.t10e3'
bibtex: '@inproceedings{Fleischer_Hüsing_Biehler_Podworny_Schulte_2022, title={Jupyter
Notebooks for Teaching, Learning, and Doing Data Science}, DOI={10.52041/iase.icots11.t10e3},
booktitle={Bridging the Gap: Empowering and Educating Today’s Learners in Statistics.
Proceedings of the Eleventh International Conference on Teaching Statistics},
publisher={International Association for Statistical Education}, author={Fleischer,
Yannik and Hüsing, Sven and Biehler, Rolf and Podworny, Susanne and Schulte, Carsten},
year={2022} }'
chicago: 'Fleischer, Yannik, Sven Hüsing, Rolf Biehler, Susanne Podworny, and Carsten
Schulte. “Jupyter Notebooks for Teaching, Learning, and Doing Data Science.” In
Bridging the Gap: Empowering and Educating Today’s Learners in Statistics.
Proceedings of the Eleventh International Conference on Teaching Statistics.
International Association for Statistical Education, 2022. https://doi.org/10.52041/iase.icots11.t10e3.'
ieee: 'Y. Fleischer, S. Hüsing, R. Biehler, S. Podworny, and C. Schulte, “Jupyter
Notebooks for Teaching, Learning, and Doing Data Science,” 2022, doi: 10.52041/iase.icots11.t10e3.'
mla: 'Fleischer, Yannik, et al. “Jupyter Notebooks for Teaching, Learning, and Doing
Data Science.” Bridging the Gap: Empowering and Educating Today’s Learners
in Statistics. Proceedings of the Eleventh International Conference on Teaching
Statistics, International Association for Statistical Education, 2022, doi:10.52041/iase.icots11.t10e3.'
short: 'Y. Fleischer, S. Hüsing, R. Biehler, S. Podworny, C. Schulte, in: Bridging
the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings
of the Eleventh International Conference on Teaching Statistics, International
Association for Statistical Education, 2022.'
date_created: 2024-03-25T12:17:14Z
date_updated: 2024-03-25T12:27:13Z
department:
- _id: '34'
doi: 10.52041/iase.icots11.t10e3
publication: 'Bridging the Gap: Empowering and Educating Today’s Learners in Statistics.
Proceedings of the Eleventh International Conference on Teaching Statistics'
publication_status: published
publisher: International Association for Statistical Education
status: public
title: Jupyter Notebooks for Teaching, Learning, and Doing Data Science
type: conference
user_id: '42660'
year: '2022'
...
---
_id: '52862'
author:
- first_name: Anni-Yasmin
full_name: Turhan, Anni-Yasmin
id: '104470'
last_name: Turhan
citation:
ama: 'Turhan A-Y. A Double Take at Conferences: The Hybrid Format. KI - Künstliche
Intelligenz. 2022;36(1):1-4. doi:10.1007/s13218-022-00758-6'
apa: 'Turhan, A.-Y. (2022). A Double Take at Conferences: The Hybrid Format. KI
- Künstliche Intelligenz, 36(1), 1–4. https://doi.org/10.1007/s13218-022-00758-6'
bibtex: '@article{Turhan_2022, title={A Double Take at Conferences: The Hybrid Format},
volume={36}, DOI={10.1007/s13218-022-00758-6},
number={1}, journal={KI - Künstliche Intelligenz}, publisher={Springer Science
and Business Media LLC}, author={Turhan, Anni-Yasmin}, year={2022}, pages={1–4}
}'
chicago: 'Turhan, Anni-Yasmin. “A Double Take at Conferences: The Hybrid Format.”
KI - Künstliche Intelligenz 36, no. 1 (2022): 1–4. https://doi.org/10.1007/s13218-022-00758-6.'
ieee: 'A.-Y. Turhan, “A Double Take at Conferences: The Hybrid Format,” KI -
Künstliche Intelligenz, vol. 36, no. 1, pp. 1–4, 2022, doi: 10.1007/s13218-022-00758-6.'
mla: 'Turhan, Anni-Yasmin. “A Double Take at Conferences: The Hybrid Format.” KI
- Künstliche Intelligenz, vol. 36, no. 1, Springer Science and Business Media
LLC, 2022, pp. 1–4, doi:10.1007/s13218-022-00758-6.'
short: A.-Y. Turhan, KI - Künstliche Intelligenz 36 (2022) 1–4.
date_created: 2024-03-25T14:00:30Z
date_updated: 2024-03-26T10:52:36Z
department:
- _id: '888'
doi: 10.1007/s13218-022-00758-6
intvolume: ' 36'
issue: '1'
keyword:
- Artificial Intelligence
language:
- iso: eng
page: 1-4
publication: KI - Künstliche Intelligenz
publication_identifier:
issn:
- 0933-1875
- 1610-1987
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: 'A Double Take at Conferences: The Hybrid Format'
type: journal_article
user_id: '9503'
volume: 36
year: '2022'
...
---
_id: '52923'
author:
- first_name: Igor
full_name: de Camargo e Souza Câmara, Igor
last_name: de Camargo e Souza Câmara
- first_name: Anni-Yasmin
full_name: Turhan, Anni-Yasmin
id: '104470'
last_name: Turhan
citation:
ama: 'de Camargo e Souza Câmara I, Turhan A-Y. Rational Defeasible Subsumption in
DLs with Nested Quantifiers: the Case of ELI\(\perp\). In: Arieli O, Casini G,
Giordano L, eds. Proceedings of the 20th International Workshop on Non-Monotonic
Reasoning, NMR 2022, Part of the Federated Logic Conference (FLoC 2022), Haifa,
Israel, August 7-9, 2022. Vol 3197. CEUR Workshop Proceedings. CEUR-WS.org;
2022:159–162.'
apa: 'de Camargo e Souza Câmara, I., & Turhan, A.-Y. (2022). Rational Defeasible
Subsumption in DLs with Nested Quantifiers: the Case of ELI\(\perp\). In O. Arieli,
G. Casini, & L. Giordano (Eds.), Proceedings of the 20th International
Workshop on Non-Monotonic Reasoning, NMR 2022, Part of the Federated Logic Conference
(FLoC 2022), Haifa, Israel, August 7-9, 2022 (Vol. 3197, pp. 159–162). CEUR-WS.org.'
bibtex: '@inproceedings{de Camargo e Souza Câmara_Turhan_2022, series={CEUR Workshop
Proceedings}, title={Rational Defeasible Subsumption in DLs with Nested Quantifiers:
the Case of ELI\(\perp\)}, volume={3197}, booktitle={Proceedings of the 20th International
Workshop on Non-Monotonic Reasoning, NMR 2022, Part of the Federated Logic Conference
(FLoC 2022), Haifa, Israel, August 7-9, 2022}, publisher={CEUR-WS.org}, author={de
Camargo e Souza Câmara, Igor and Turhan, Anni-Yasmin}, editor={Arieli, Ofer and
Casini, Giovanni and Giordano, Laura}, year={2022}, pages={159–162}, collection={CEUR
Workshop Proceedings} }'
chicago: 'Camargo e Souza Câmara, Igor de, and Anni-Yasmin Turhan. “Rational Defeasible
Subsumption in DLs with Nested Quantifiers: The Case of ELI\(\perp\).” In Proceedings
of the 20th International Workshop on Non-Monotonic Reasoning, NMR 2022, Part
of the Federated Logic Conference (FLoC 2022), Haifa, Israel, August 7-9, 2022,
edited by Ofer Arieli, Giovanni Casini, and Laura Giordano, 3197:159–162. CEUR
Workshop Proceedings. CEUR-WS.org, 2022.'
ieee: 'I. de Camargo e Souza Câmara and A.-Y. Turhan, “Rational Defeasible Subsumption
in DLs with Nested Quantifiers: the Case of ELI\(\perp\),” in Proceedings of
the 20th International Workshop on Non-Monotonic Reasoning, NMR 2022, Part of
the Federated Logic Conference (FLoC 2022), Haifa, Israel, August 7-9, 2022,
2022, vol. 3197, pp. 159–162.'
mla: 'de Camargo e Souza Câmara, Igor, and Anni-Yasmin Turhan. “Rational Defeasible
Subsumption in DLs with Nested Quantifiers: The Case of ELI\(\perp\).” Proceedings
of the 20th International Workshop on Non-Monotonic Reasoning, NMR 2022, Part
of the Federated Logic Conference (FLoC 2022), Haifa, Israel, August 7-9, 2022,
edited by Ofer Arieli et al., vol. 3197, CEUR-WS.org, 2022, pp. 159–162.'
short: 'I. de Camargo e Souza Câmara, A.-Y. Turhan, in: O. Arieli, G. Casini, L.
Giordano (Eds.), Proceedings of the 20th International Workshop on Non-Monotonic
Reasoning, NMR 2022, Part of the Federated Logic Conference (FLoC 2022), Haifa,
Israel, August 7-9, 2022, CEUR-WS.org, 2022, pp. 159–162.'
date_created: 2024-03-26T10:54:06Z
date_updated: 2024-03-26T10:56:19Z
department:
- _id: '888'
editor:
- first_name: Ofer
full_name: Arieli, Ofer
last_name: Arieli
- first_name: Giovanni
full_name: Casini, Giovanni
last_name: Casini
- first_name: Laura
full_name: Giordano, Laura
last_name: Giordano
intvolume: ' 3197'
language:
- iso: eng
page: 159–162
publication: Proceedings of the 20th International Workshop on Non-Monotonic Reasoning,
NMR 2022, Part of the Federated Logic Conference (FLoC 2022), Haifa, Israel, August
7-9, 2022
publisher: CEUR-WS.org
series_title: CEUR Workshop Proceedings
status: public
title: 'Rational Defeasible Subsumption in DLs with Nested Quantifiers: the Case of
ELI\(\perp\)'
type: conference
user_id: '9503'
volume: 3197
year: '2022'
...
---
_id: '52925'
citation:
ama: Governatori G, Turhan A-Y, eds. Rules and Reasoning - 6th International
Joint Conference on Rules and Reasoning, RuleML+RR 2022, Berlin, Germany, September
26-28, 2022, Proceedings. Vol 13752. Springer; 2022. doi:10.1007/978-3-031-21541-4
apa: Governatori, G., & Turhan, A.-Y. (Eds.). (2022). Rules and Reasoning
- 6th International Joint Conference on Rules and Reasoning, RuleML+RR 2022, Berlin,
Germany, September 26-28, 2022, Proceedings (Vol. 13752). Springer. https://doi.org/10.1007/978-3-031-21541-4
bibtex: '@book{Governatori_Turhan_2022, series={Lecture Notes in Computer Science},
title={Rules and Reasoning - 6th International Joint Conference on Rules and Reasoning,
RuleML+RR 2022, Berlin, Germany, September 26-28, 2022, Proceedings}, volume={13752},
DOI={10.1007/978-3-031-21541-4},
publisher={Springer}, year={2022}, collection={Lecture Notes in Computer Science}
}'
chicago: Governatori, Guido, and Anni-Yasmin Turhan, eds. Rules and Reasoning
- 6th International Joint Conference on Rules and Reasoning, RuleML+RR 2022, Berlin,
Germany, September 26-28, 2022, Proceedings. Vol. 13752. Lecture Notes in
Computer Science. Springer, 2022. https://doi.org/10.1007/978-3-031-21541-4.
ieee: G. Governatori and A.-Y. Turhan, Eds., Rules and Reasoning - 6th International
Joint Conference on Rules and Reasoning, RuleML+RR 2022, Berlin, Germany, September
26-28, 2022, Proceedings, vol. 13752. Springer, 2022.
mla: Governatori, Guido, and Anni-Yasmin Turhan, editors. Rules and Reasoning
- 6th International Joint Conference on Rules and Reasoning, RuleML+RR 2022, Berlin,
Germany, September 26-28, 2022, Proceedings. Springer, 2022, doi:10.1007/978-3-031-21541-4.
short: G. Governatori, A.-Y. Turhan, eds., Rules and Reasoning - 6th International
Joint Conference on Rules and Reasoning, RuleML+RR 2022, Berlin, Germany, September
26-28, 2022, Proceedings, Springer, 2022.
date_created: 2024-03-26T10:54:33Z
date_updated: 2024-03-26T10:56:14Z
department:
- _id: '888'
doi: 10.1007/978-3-031-21541-4
editor:
- first_name: Guido
full_name: Governatori, Guido
last_name: Governatori
- first_name: Anni-Yasmin
full_name: Turhan, Anni-Yasmin
id: '104470'
last_name: Turhan
intvolume: ' 13752'
language:
- iso: eng
publication_identifier:
isbn:
- 978-3-031-21540-7
publisher: Springer
series_title: Lecture Notes in Computer Science
status: public
title: Rules and Reasoning - 6th International Joint Conference on Rules and Reasoning,
RuleML+RR 2022, Berlin, Germany, September 26-28, 2022, Proceedings
type: conference_editor
user_id: '9503'
volume: 13752
year: '2022'
...
---
_id: '52851'
abstract:
- lang: eng
text: We report on our work with students in our data science courses, focusing
on the analysis of students’ results. This study represents an in-depth analysis
of students’ creation and documentation of machine learning models. The students
were supported by educationally designed Jupyter Notebooks, which are used as
worked examples. Using the worked example, students document their results in
a so-called computational essay. We examine which aspects of creating computational
essays are difficult for students to find out how worked examples should be designed
to support students without being too prescriptive. We analyze the computational
essays produced by students and draw consequences for redesigning our worked example.
author:
- first_name: Yannik
full_name: Fleischer, Yannik
last_name: Fleischer
- first_name: Sven
full_name: Hüsing, Sven
last_name: Hüsing
- first_name: Rolf
full_name: Biehler, Rolf
last_name: Biehler
- first_name: Susanne
full_name: Podworny, Susanne
last_name: Podworny
- first_name: Carsten
full_name: Schulte, Carsten
last_name: Schulte
citation:
ama: 'Fleischer Y, Hüsing S, Biehler R, Podworny S, Schulte C. Jupyter Notebooks
for Teaching, Learning, and Doing Data Science. In: Bridging the Gap: Empowering
and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International
Conference on Teaching Statistics. International Association for Statistical
Education; 2022. doi:10.52041/iase.icots11.t10e3'
apa: 'Fleischer, Y., Hüsing, S., Biehler, R., Podworny, S., & Schulte, C. (2022).
Jupyter Notebooks for Teaching, Learning, and Doing Data Science. Bridging
the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings
of the Eleventh International Conference on Teaching Statistics. https://doi.org/10.52041/iase.icots11.t10e3'
bibtex: '@inproceedings{Fleischer_Hüsing_Biehler_Podworny_Schulte_2022, title={Jupyter
Notebooks for Teaching, Learning, and Doing Data Science}, DOI={10.52041/iase.icots11.t10e3},
booktitle={Bridging the Gap: Empowering and Educating Today’s Learners in Statistics.
Proceedings of the Eleventh International Conference on Teaching Statistics},
publisher={International Association for Statistical Education}, author={Fleischer,
Yannik and Hüsing, Sven and Biehler, Rolf and Podworny, Susanne and Schulte, Carsten},
year={2022} }'
chicago: 'Fleischer, Yannik, Sven Hüsing, Rolf Biehler, Susanne Podworny, and Carsten
Schulte. “Jupyter Notebooks for Teaching, Learning, and Doing Data Science.” In
Bridging the Gap: Empowering and Educating Today’s Learners in Statistics.
Proceedings of the Eleventh International Conference on Teaching Statistics.
International Association for Statistical Education, 2022. https://doi.org/10.52041/iase.icots11.t10e3.'
ieee: 'Y. Fleischer, S. Hüsing, R. Biehler, S. Podworny, and C. Schulte, “Jupyter
Notebooks for Teaching, Learning, and Doing Data Science,” 2022, doi: 10.52041/iase.icots11.t10e3.'
mla: 'Fleischer, Yannik, et al. “Jupyter Notebooks for Teaching, Learning, and Doing
Data Science.” Bridging the Gap: Empowering and Educating Today’s Learners
in Statistics. Proceedings of the Eleventh International Conference on Teaching
Statistics, International Association for Statistical Education, 2022, doi:10.52041/iase.icots11.t10e3.'
short: 'Y. Fleischer, S. Hüsing, R. Biehler, S. Podworny, C. Schulte, in: Bridging
the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings
of the Eleventh International Conference on Teaching Statistics, International
Association for Statistical Education, 2022.'
date_created: 2024-03-25T12:18:03Z
date_updated: 2024-03-28T08:39:27Z
department:
- _id: '34'
doi: 10.52041/iase.icots11.t10e3
language:
- iso: eng
publication: 'Bridging the Gap: Empowering and Educating Today’s Learners in Statistics.
Proceedings of the Eleventh International Conference on Teaching Statistics'
publication_status: published
publisher: International Association for Statistical Education
status: public
title: Jupyter Notebooks for Teaching, Learning, and Doing Data Science
type: conference
user_id: '42660'
year: '2022'
...
---
_id: '32572'
author:
- first_name: Peter
full_name: Mayer, Peter
last_name: Mayer
- first_name: Damian
full_name: Poddebniak, Damian
last_name: Poddebniak
- first_name: Konstantin
full_name: Fischer, Konstantin
last_name: Fischer
- first_name: Marcus
full_name: Brinkmann, Marcus
last_name: Brinkmann
- first_name: Juraj
full_name: Somorovsky, Juraj
id: '83504'
last_name: Somorovsky
orcid: 0000-0002-3593-7720
- first_name: Angela
full_name: Sasse, Angela
last_name: Sasse
- first_name: Sebastian
full_name: Schinzel, Sebastian
last_name: Schinzel
- first_name: Melanie
full_name: Volkamer, Melanie
last_name: Volkamer
citation:
ama: 'Mayer P, Poddebniak D, Fischer K, et al. “I don’ know why I check this...”
- Investigating Expert Users’ Strategies to Detect Email Signature Spoofing Attacks.
In: Eighteenth Symposium on Usable Privacy and Security (SOUPS 2022). USENIX
Association; 2022:77–96.'
apa: Mayer, P., Poddebniak, D., Fischer, K., Brinkmann, M., Somorovsky, J., Sasse,
A., Schinzel, S., & Volkamer, M. (2022). “I don’ know why I check this...”
- Investigating Expert Users’ Strategies to Detect Email Signature Spoofing Attacks.
Eighteenth Symposium on Usable Privacy and Security (SOUPS 2022), 77–96.
bibtex: '@inproceedings{Mayer_Poddebniak_Fischer_Brinkmann_Somorovsky_Sasse_Schinzel_Volkamer_2022,
place={Boston, MA}, title={“I don’ know why I check this...” - Investigating Expert
Users’ Strategies to Detect Email Signature Spoofing Attacks}, booktitle={Eighteenth
Symposium on Usable Privacy and Security (SOUPS 2022)}, publisher={USENIX Association},
author={Mayer, Peter and Poddebniak, Damian and Fischer, Konstantin and Brinkmann,
Marcus and Somorovsky, Juraj and Sasse, Angela and Schinzel, Sebastian and Volkamer,
Melanie}, year={2022}, pages={77–96} }'
chicago: 'Mayer, Peter, Damian Poddebniak, Konstantin Fischer, Marcus Brinkmann,
Juraj Somorovsky, Angela Sasse, Sebastian Schinzel, and Melanie Volkamer. “‘I
Don’ Know Why I Check This...’ - Investigating Expert Users’ Strategies to Detect
Email Signature Spoofing Attacks.” In Eighteenth Symposium on Usable Privacy
and Security (SOUPS 2022), 77–96. Boston, MA: USENIX Association, 2022.'
ieee: P. Mayer et al., “‘I don’ know why I check this...’ - Investigating
Expert Users’ Strategies to Detect Email Signature Spoofing Attacks,” in Eighteenth
Symposium on Usable Privacy and Security (SOUPS 2022), 2022, pp. 77–96.
mla: Mayer, Peter, et al. “‘I Don’ Know Why I Check This...’ - Investigating Expert
Users’ Strategies to Detect Email Signature Spoofing Attacks.” Eighteenth Symposium
on Usable Privacy and Security (SOUPS 2022), USENIX Association, 2022, pp.
77–96.
short: 'P. Mayer, D. Poddebniak, K. Fischer, M. Brinkmann, J. Somorovsky, A. Sasse,
S. Schinzel, M. Volkamer, in: Eighteenth Symposium on Usable Privacy and Security
(SOUPS 2022), USENIX Association, Boston, MA, 2022, pp. 77–96.'
date_created: 2022-08-03T11:02:10Z
date_updated: 2024-04-02T12:19:28Z
department:
- _id: '632'
language:
- iso: eng
page: 77–96
place: Boston, MA
publication: Eighteenth Symposium on Usable Privacy and Security (SOUPS 2022)
publication_identifier:
isbn:
- 978-1-939133-30-4
publisher: USENIX Association
status: public
title: '"I don'' know why I check this..." - Investigating Expert Users'' Strategies
to Detect Email Signature Spoofing Attacks'
type: conference
user_id: '83504'
year: '2022'
...
---
_id: '32573'
author:
- first_name: Marcel
full_name: Maehren, Marcel
last_name: Maehren
- first_name: Philipp
full_name: Nieting, Philipp
last_name: Nieting
- first_name: Sven Niclas
full_name: Hebrok, Sven Niclas
id: '55616'
last_name: Hebrok
orcid: 0009-0006-1172-1665
- first_name: Robert
full_name: Merget, Robert
last_name: Merget
- first_name: Juraj
full_name: Somorovsky, Juraj
id: '83504'
last_name: Somorovsky
orcid: 0000-0002-3593-7720
- first_name: Jörg
full_name: Schwenk, Jörg
last_name: Schwenk
citation:
ama: 'Maehren M, Nieting P, Hebrok SN, Merget R, Somorovsky J, Schwenk J. TLS-Anvil:
Adapting Combinatorial Testing for TLS Libraries. In: 31st USENIX Security
Symposium (USENIX Security 22). USENIX Association; 2022.'
apa: 'Maehren, M., Nieting, P., Hebrok, S. N., Merget, R., Somorovsky, J., &
Schwenk, J. (2022). TLS-Anvil: Adapting Combinatorial Testing for TLS Libraries.
31st USENIX Security Symposium (USENIX Security 22).'
bibtex: '@inproceedings{Maehren_Nieting_Hebrok_Merget_Somorovsky_Schwenk_2022, place={Boston,
MA}, title={TLS-Anvil: Adapting Combinatorial Testing for TLS Libraries}, booktitle={31st
USENIX Security Symposium (USENIX Security 22)}, publisher={USENIX Association},
author={Maehren, Marcel and Nieting, Philipp and Hebrok, Sven Niclas and Merget,
Robert and Somorovsky, Juraj and Schwenk, Jörg}, year={2022} }'
chicago: 'Maehren, Marcel, Philipp Nieting, Sven Niclas Hebrok, Robert Merget, Juraj
Somorovsky, and Jörg Schwenk. “TLS-Anvil: Adapting Combinatorial Testing for TLS
Libraries.” In 31st USENIX Security Symposium (USENIX Security 22). Boston,
MA: USENIX Association, 2022.'
ieee: 'M. Maehren, P. Nieting, S. N. Hebrok, R. Merget, J. Somorovsky, and J. Schwenk,
“TLS-Anvil: Adapting Combinatorial Testing for TLS Libraries,” 2022.'
mla: 'Maehren, Marcel, et al. “TLS-Anvil: Adapting Combinatorial Testing for TLS
Libraries.” 31st USENIX Security Symposium (USENIX Security 22), USENIX
Association, 2022.'
short: 'M. Maehren, P. Nieting, S.N. Hebrok, R. Merget, J. Somorovsky, J. Schwenk,
in: 31st USENIX Security Symposium (USENIX Security 22), USENIX Association, Boston,
MA, 2022.'
date_created: 2022-08-03T11:03:30Z
date_updated: 2024-04-02T12:19:45Z
department:
- _id: '632'
language:
- iso: eng
place: Boston, MA
publication: 31st USENIX Security Symposium (USENIX Security 22)
publisher: USENIX Association
status: public
title: 'TLS-Anvil: Adapting Combinatorial Testing for TLS Libraries'
type: conference
user_id: '83504'
year: '2022'
...
---
_id: '45970'
abstract:
- lang: eng
text: ' We introduce a new phase field model for tumor growth where viscoelastic
effects are taken into account. The model is derived from basic thermodynamical
principles and consists of a convected Cahn–Hilliard equation with source terms
for the tumor cells and a convected reaction–diffusion equation with boundary
supply for the nutrient. Chemotactic terms, which are essential for the invasive
behavior of tumors, are taken into account. The model is completed by a viscoelastic
system consisting of the Navier–Stokes equation for the hydrodynamic quantities,
and a general constitutive equation with stress relaxation for the left Cauchy–Green
tensor associated with the elastic part of the total mechanical response of the
viscoelastic material. For a specific choice of the elastic energy density and
with an additional dissipative term accounting for stress diffusion, we prove
existence of global-in-time weak solutions of the viscoelastic model for tumor
growth in two space dimensions [Formula: see text] by the passage to the limit
in a fully-discrete finite element scheme where a CFL condition, i.e. [Formula:
see text], is required. Moreover, in arbitrary dimensions [Formula:
see text], we show stability and existence of solutions for the fully-discrete
finite element scheme, where positive definiteness of the discrete Cauchy–Green
tensor is proved with a regularization technique that was first introduced by
Barrett and Boyaval [Existence and approximation of a (regularized) Oldroyd-B
model, Math. Models Methods Appl. Sci. 21 (2011) 1783–1837]. After that, we improve
the regularity results in arbitrary dimensions [Formula: see text] and in two
dimensions [Formula: see text], where a CFL condition is required. Then, in two
dimensions [Formula: see text], we pass to the limit in the discretization parameters
and show that subsequences of discrete solutions converge to a global-in-time
weak solution. Finally, we present numerical results in two dimensions [Formula:
see text]. '
author:
- first_name: Harald
full_name: Garcke, Harald
last_name: Garcke
- first_name: Balázs
full_name: Kovács, Balázs
id: '100441'
last_name: Kovács
orcid: 0000-0001-9872-3474
- first_name: Dennis
full_name: Trautwein, Dennis
last_name: Trautwein
citation:
ama: Garcke H, Kovács B, Trautwein D. Viscoelastic Cahn–Hilliard models for tumor
growth. Mathematical Models and Methods in Applied Sciences. 2022;32(13):2673-2758.
doi:10.1142/s0218202522500634
apa: Garcke, H., Kovács, B., & Trautwein, D. (2022). Viscoelastic Cahn–Hilliard
models for tumor growth. Mathematical Models and Methods in Applied Sciences,
32(13), 2673–2758. https://doi.org/10.1142/s0218202522500634
bibtex: '@article{Garcke_Kovács_Trautwein_2022, title={Viscoelastic Cahn–Hilliard
models for tumor growth}, volume={32}, DOI={10.1142/s0218202522500634},
number={13}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World
Scientific Pub Co Pte Ltd}, author={Garcke, Harald and Kovács, Balázs and Trautwein,
Dennis}, year={2022}, pages={2673–2758} }'
chicago: 'Garcke, Harald, Balázs Kovács, and Dennis Trautwein. “Viscoelastic Cahn–Hilliard
Models for Tumor Growth.” Mathematical Models and Methods in Applied Sciences
32, no. 13 (2022): 2673–2758. https://doi.org/10.1142/s0218202522500634.'
ieee: 'H. Garcke, B. Kovács, and D. Trautwein, “Viscoelastic Cahn–Hilliard models
for tumor growth,” Mathematical Models and Methods in Applied Sciences,
vol. 32, no. 13, pp. 2673–2758, 2022, doi: 10.1142/s0218202522500634.'
mla: Garcke, Harald, et al. “Viscoelastic Cahn–Hilliard Models for Tumor Growth.”
Mathematical Models and Methods in Applied Sciences, vol. 32, no. 13, World
Scientific Pub Co Pte Ltd, 2022, pp. 2673–758, doi:10.1142/s0218202522500634.
short: H. Garcke, B. Kovács, D. Trautwein, Mathematical Models and Methods in Applied
Sciences 32 (2022) 2673–2758.
date_created: 2023-07-10T11:47:27Z
date_updated: 2024-04-03T09:15:35Z
department:
- _id: '841'
doi: 10.1142/s0218202522500634
intvolume: ' 32'
issue: '13'
keyword:
- Applied Mathematics
- Modeling and Simulation
language:
- iso: eng
page: 2673-2758
publication: Mathematical Models and Methods in Applied Sciences
publication_identifier:
issn:
- 0218-2025
- 1793-6314
publication_status: published
publisher: World Scientific Pub Co Pte Ltd
status: public
title: Viscoelastic Cahn–Hilliard models for tumor growth
type: journal_article
user_id: '100441'
volume: 32
year: '2022'
...
---
_id: '45969'
abstract:
- lang: eng
text: 'AbstractAn evolving surface finite element
discretisation is analysed for the evolution of a closed two-dimensional surface
governed by a system coupling a generalised forced mean curvature flow and a reaction–diffusion
process on the surface, inspired by a gradient flow of a coupled energy. Two algorithms
are proposed, both based on a system coupling the diffusion equation to evolution
equations for geometric quantities in the velocity law for the surface. One of
the numerical methods is proved to be convergent in the$$H^1$$H1norm
with optimal-order for finite elements of degree at least two. We present numerical
experiments illustrating the convergence behaviour and demonstrating the qualitative
properties of the flow: preservation of mean convexity, loss of convexity, weak
maximum principles, and the occurrence of self-intersections.'
author:
- first_name: Charles M.
full_name: Elliott, Charles M.
last_name: Elliott
- first_name: Harald
full_name: Garcke, Harald
last_name: Garcke
- first_name: Balázs
full_name: Kovács, Balázs
id: '100441'
last_name: Kovács
orcid: 0000-0001-9872-3474
citation:
ama: Elliott CM, Garcke H, Kovács B. Numerical analysis for the interaction of mean
curvature flow and diffusion on closed surfaces. Numerische Mathematik.
2022;151(4):873-925. doi:10.1007/s00211-022-01301-3
apa: Elliott, C. M., Garcke, H., & Kovács, B. (2022). Numerical analysis for
the interaction of mean curvature flow and diffusion on closed surfaces. Numerische
Mathematik, 151(4), 873–925. https://doi.org/10.1007/s00211-022-01301-3
bibtex: '@article{Elliott_Garcke_Kovács_2022, title={Numerical analysis for the
interaction of mean curvature flow and diffusion on closed surfaces}, volume={151},
DOI={10.1007/s00211-022-01301-3},
number={4}, journal={Numerische Mathematik}, publisher={Springer Science and Business
Media LLC}, author={Elliott, Charles M. and Garcke, Harald and Kovács, Balázs},
year={2022}, pages={873–925} }'
chicago: 'Elliott, Charles M., Harald Garcke, and Balázs Kovács. “Numerical Analysis
for the Interaction of Mean Curvature Flow and Diffusion on Closed Surfaces.”
Numerische Mathematik 151, no. 4 (2022): 873–925. https://doi.org/10.1007/s00211-022-01301-3.'
ieee: 'C. M. Elliott, H. Garcke, and B. Kovács, “Numerical analysis for the interaction
of mean curvature flow and diffusion on closed surfaces,” Numerische Mathematik,
vol. 151, no. 4, pp. 873–925, 2022, doi: 10.1007/s00211-022-01301-3.'
mla: Elliott, Charles M., et al. “Numerical Analysis for the Interaction of Mean
Curvature Flow and Diffusion on Closed Surfaces.” Numerische Mathematik,
vol. 151, no. 4, Springer Science and Business Media LLC, 2022, pp. 873–925, doi:10.1007/s00211-022-01301-3.
short: C.M. Elliott, H. Garcke, B. Kovács, Numerische Mathematik 151 (2022) 873–925.
date_created: 2023-07-10T11:47:11Z
date_updated: 2024-04-03T09:15:44Z
department:
- _id: '841'
doi: 10.1007/s00211-022-01301-3
intvolume: ' 151'
issue: '4'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 873-925
publication: Numerische Mathematik
publication_identifier:
issn:
- 0029-599X
- 0945-3245
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Numerical analysis for the interaction of mean curvature flow and diffusion
on closed surfaces
type: journal_article
user_id: '100441'
volume: 151
year: '2022'
...
---
_id: '45963'
abstract:
- lang: eng
text: AbstractThe scattering of electromagnetic
waves from obstacles with wave-material interaction in thin layers on the surface
is described by generalized impedance boundary conditions, which provide effective
approximate models. In particular, this includes a thin coating around a perfect
conductor and the skin effect of a highly conducting material. The approach taken
in this work is to derive, analyse and discretize a system of time-dependent boundary
integral equations that determines the tangential traces of the scattered electric
and magnetic fields. In a familiar second step, the fields are evaluated in the
exterior domain by a representation formula, which uses the time-dependent potential
operators of Maxwell’s equations. The time-dependent boundary integral equation
is discretized with Runge–Kutta based convolution quadrature in time and Raviart–Thomas
boundary elements in space. Using the frequency-explicit bounds from the well-posedness
analysis given here together with known approximation properties of the numerical
methods, the full discretization is proved to be stable and convergent, with explicitly
given rates in the case of sufficient regularity. Taking the same Runge–Kutta
based convolution quadrature for discretizing the time-dependent representation
formulas, the optimal order of convergence is obtained away from the scattering
boundary, whereas an order reduction occurs close to the boundary. The theoretical
results are illustrated by numerical experiments.
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. Time-dependent electromagnetic scattering from
thin layers. Numerische Mathematik. 2022;150(4):1123-1164. doi:10.1007/s00211-022-01277-0
apa: Nick, J., Kovács, B., & Lubich, C. (2022). Time-dependent electromagnetic
scattering from thin layers. Numerische Mathematik, 150(4), 1123–1164.
https://doi.org/10.1007/s00211-022-01277-0
bibtex: '@article{Nick_Kovács_Lubich_2022, title={Time-dependent electromagnetic
scattering from thin layers}, volume={150}, DOI={10.1007/s00211-022-01277-0},
number={4}, journal={Numerische Mathematik}, publisher={Springer Science and Business
Media LLC}, author={Nick, Jörg and Kovács, Balázs and Lubich, Christian}, year={2022},
pages={1123–1164} }'
chicago: 'Nick, Jörg, Balázs Kovács, and Christian Lubich. “Time-Dependent Electromagnetic
Scattering from Thin Layers.” Numerische Mathematik 150, no. 4 (2022):
1123–64. https://doi.org/10.1007/s00211-022-01277-0.'
ieee: 'J. Nick, B. Kovács, and C. Lubich, “Time-dependent electromagnetic scattering
from thin layers,” Numerische Mathematik, vol. 150, no. 4, pp. 1123–1164,
2022, doi: 10.1007/s00211-022-01277-0.'
mla: Nick, Jörg, et al. “Time-Dependent Electromagnetic Scattering from Thin Layers.”
Numerische Mathematik, vol. 150, no. 4, Springer Science and Business Media
LLC, 2022, pp. 1123–64, doi:10.1007/s00211-022-01277-0.
short: J. Nick, B. Kovács, C. Lubich, Numerische Mathematik 150 (2022) 1123–1164.
date_created: 2023-07-10T11:44:57Z
date_updated: 2024-04-03T09:18:23Z
department:
- _id: '841'
doi: 10.1007/s00211-022-01277-0
intvolume: ' 150'
issue: '4'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 1123-1164
publication: Numerische Mathematik
publication_identifier:
issn:
- 0029-599X
- 0945-3245
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Time-dependent electromagnetic scattering from thin layers
type: journal_article
user_id: '100441'
volume: 150
year: '2022'
...
---
_id: '45964'
abstract:
- lang: eng
text: "Abstract\r\n Maximal parabolic
$L^p$-regularity of linear parabolic equations on an evolving surface is shown
by pulling back the problem to the initial surface and studying the maximal $L^p$-regularity
on a fixed surface. By freezing the coefficients in the parabolic equations at
a fixed time and utilizing a perturbation argument around the freezed time, it
is shown that backward difference time discretizations of linear parabolic equations
on an evolving surface along characteristic trajectories can preserve maximal
$L^p$-regularity in the discrete setting. The result is applied to prove the stability
and convergence of time discretizations of nonlinear parabolic equations on an
evolving surface, with linearly implicit backward differentiation formulae characteristic
trajectories of the surface, for general locally Lipschitz nonlinearities. The
discrete maximal $L^p$-regularity is used to prove the boundedness and stability
of numerical solutions in the $L^\\infty (0,T;W^{1,\\infty })$ norm, which is
used to bound the nonlinear terms in the stability analysis. Optimal-order error
estimates of time discretizations in the $L^\\infty (0,T;W^{1,\\infty })$ norm
is obtained by combining the stability analysis with the consistency estimates."
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
citation:
ama: Kovács B, Li B. Maximal regularity of backward difference time discretization
for evolving surface PDEs and its application to nonlinear problems. IMA Journal
of Numerical Analysis. Published online 2022. doi:10.1093/imanum/drac033
apa: Kovács, B., & Li, B. (2022). Maximal regularity of backward difference
time discretization for evolving surface PDEs and its application to nonlinear
problems. IMA Journal of Numerical Analysis. https://doi.org/10.1093/imanum/drac033
bibtex: '@article{Kovács_Li_2022, title={Maximal regularity of backward difference
time discretization for evolving surface PDEs and its application to nonlinear
problems}, DOI={10.1093/imanum/drac033},
journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press
(OUP)}, author={Kovács, Balázs and Li, Buyang}, year={2022} }'
chicago: Kovács, Balázs, and Buyang Li. “Maximal Regularity of Backward Difference
Time Discretization for Evolving Surface PDEs and Its Application to Nonlinear
Problems.” IMA Journal of Numerical Analysis, 2022. https://doi.org/10.1093/imanum/drac033.
ieee: 'B. Kovács and B. Li, “Maximal regularity of backward difference time discretization
for evolving surface PDEs and its application to nonlinear problems,” IMA Journal
of Numerical Analysis, 2022, doi: 10.1093/imanum/drac033.'
mla: Kovács, Balázs, and Buyang Li. “Maximal Regularity of Backward Difference Time
Discretization for Evolving Surface PDEs and Its Application to Nonlinear Problems.”
IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2022,
doi:10.1093/imanum/drac033.
short: B. Kovács, B. Li, IMA Journal of Numerical Analysis (2022).
date_created: 2023-07-10T11:45:14Z
date_updated: 2024-04-03T09:17:59Z
department:
- _id: '841'
doi: 10.1093/imanum/drac033
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
publication: IMA Journal of Numerical Analysis
publication_identifier:
issn:
- 0272-4979
- 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Maximal regularity of backward difference time discretization for evolving
surface PDEs and its application to nonlinear problems
type: journal_article
user_id: '100441'
year: '2022'
...
---
_id: '45966'
abstract:
- lang: eng
text: "Abstract\r\n This paper studies
bulk–surface splitting methods of first order for (semilinear) parabolic partial
differential equations with dynamic boundary conditions. The proposed Lie splitting
scheme is based on a reformulation of the problem as a coupled partial differential–algebraic
equation system, i.e., the boundary conditions are considered as a second dynamic
equation that is coupled to the bulk problem. The splitting approach is combined
with bulk–surface finite elements and an implicit Euler discretization of the
two subsystems. We prove first-order convergence of the resulting fully discrete
scheme in the presence of a weak CFL condition of the form $\\tau \\leqslant c
h$ for some constant $c>0$. The convergence is also illustrated numerically
using dynamic boundary conditions of Allen–Cahn type."
author:
- first_name: Robert
full_name: Altmann, Robert
last_name: Altmann
- first_name: Balázs
full_name: Kovács, Balázs
id: '100441'
last_name: Kovács
orcid: 0000-0001-9872-3474
- first_name: Christoph
full_name: Zimmer, Christoph
last_name: Zimmer
citation:
ama: Altmann R, Kovács B, Zimmer C. Bulk–surface Lie splitting for parabolic problems
with dynamic boundary conditions. IMA Journal of Numerical Analysis. 2022;43(2):950-975.
doi:10.1093/imanum/drac002
apa: Altmann, R., Kovács, B., & Zimmer, C. (2022). Bulk–surface Lie splitting
for parabolic problems with dynamic boundary conditions. IMA Journal of Numerical
Analysis, 43(2), 950–975. https://doi.org/10.1093/imanum/drac002
bibtex: '@article{Altmann_Kovács_Zimmer_2022, title={Bulk–surface Lie splitting
for parabolic problems with dynamic boundary conditions}, volume={43}, DOI={10.1093/imanum/drac002}, number={2},
journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press
(OUP)}, author={Altmann, Robert and Kovács, Balázs and Zimmer, Christoph}, year={2022},
pages={950–975} }'
chicago: 'Altmann, Robert, Balázs Kovács, and Christoph Zimmer. “Bulk–Surface Lie
Splitting for Parabolic Problems with Dynamic Boundary Conditions.” IMA Journal
of Numerical Analysis 43, no. 2 (2022): 950–75. https://doi.org/10.1093/imanum/drac002.'
ieee: 'R. Altmann, B. Kovács, and C. Zimmer, “Bulk–surface Lie splitting for parabolic
problems with dynamic boundary conditions,” IMA Journal of Numerical Analysis,
vol. 43, no. 2, pp. 950–975, 2022, doi: 10.1093/imanum/drac002.'
mla: Altmann, Robert, et al. “Bulk–Surface Lie Splitting for Parabolic Problems
with Dynamic Boundary Conditions.” IMA Journal of Numerical Analysis, vol.
43, no. 2, Oxford University Press (OUP), 2022, pp. 950–75, doi:10.1093/imanum/drac002.
short: R. Altmann, B. Kovács, C. Zimmer, IMA Journal of Numerical Analysis 43 (2022)
950–975.
date_created: 2023-07-10T11:45:49Z
date_updated: 2024-04-03T09:16:47Z
department:
- _id: '841'
doi: 10.1093/imanum/drac002
intvolume: ' 43'
issue: '2'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
page: 950-975
publication: IMA Journal of Numerical Analysis
publication_identifier:
issn:
- 0272-4979
- 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Bulk–surface Lie splitting for parabolic problems with dynamic boundary conditions
type: journal_article
user_id: '100441'
volume: 43
year: '2022'
...