---
_id: '45950'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>The maximum principle forms an important
    qualitative property of second-order elliptic equations; therefore, its discrete
    analogues, the so-called discrete maximum principles (DMPs), have drawn much attention
    owing to their role in reinforcing the qualitative reliability of the given numerical
    scheme. In this paper DMPs are established for nonlinear finite element problems
    on surfaces with boundary, corresponding to the classical pointwise maximum principles
    on Riemannian manifolds in the spirit of Pucci &amp; Serrin (2007, The Maximum
    Principle. Springer). Various real-life examples illustrate the scope of the results.</jats:p>
author:
- first_name: János
  full_name: Karátson, János
  last_name: Karátson
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
- first_name: Sergey
  full_name: Korotov, Sergey
  last_name: Korotov
citation:
  ama: Karátson J, Kovács B, Korotov S. Discrete maximum principles for nonlinear
    elliptic finite element problems on surfaces with boundary. <i>IMA Journal of
    Numerical Analysis</i>. 2018;40(2):1241-1265. doi:<a href="https://doi.org/10.1093/imanum/dry086">10.1093/imanum/dry086</a>
  apa: Karátson, J., Kovács, B., &#38; Korotov, S. (2018). Discrete maximum principles
    for nonlinear elliptic finite element problems on surfaces with boundary. <i>IMA
    Journal of Numerical Analysis</i>, <i>40</i>(2), 1241–1265. <a href="https://doi.org/10.1093/imanum/dry086">https://doi.org/10.1093/imanum/dry086</a>
  bibtex: '@article{Karátson_Kovács_Korotov_2018, title={Discrete maximum principles
    for nonlinear elliptic finite element problems on surfaces with boundary}, volume={40},
    DOI={<a href="https://doi.org/10.1093/imanum/dry086">10.1093/imanum/dry086</a>},
    number={2}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University
    Press (OUP)}, author={Karátson, János and Kovács, Balázs and Korotov, Sergey},
    year={2018}, pages={1241–1265} }'
  chicago: 'Karátson, János, Balázs Kovács, and Sergey Korotov. “Discrete Maximum
    Principles for Nonlinear Elliptic Finite Element Problems on Surfaces with Boundary.”
    <i>IMA Journal of Numerical Analysis</i> 40, no. 2 (2018): 1241–65. <a href="https://doi.org/10.1093/imanum/dry086">https://doi.org/10.1093/imanum/dry086</a>.'
  ieee: 'J. Karátson, B. Kovács, and S. Korotov, “Discrete maximum principles for
    nonlinear elliptic finite element problems on surfaces with boundary,” <i>IMA
    Journal of Numerical Analysis</i>, vol. 40, no. 2, pp. 1241–1265, 2018, doi: <a
    href="https://doi.org/10.1093/imanum/dry086">10.1093/imanum/dry086</a>.'
  mla: Karátson, János, et al. “Discrete Maximum Principles for Nonlinear Elliptic
    Finite Element Problems on Surfaces with Boundary.” <i>IMA Journal of Numerical
    Analysis</i>, vol. 40, no. 2, Oxford University Press (OUP), 2018, pp. 1241–65,
    doi:<a href="https://doi.org/10.1093/imanum/dry086">10.1093/imanum/dry086</a>.
  short: J. Karátson, B. Kovács, S. Korotov, IMA Journal of Numerical Analysis 40
    (2018) 1241–1265.
date_created: 2023-07-10T11:41:27Z
date_updated: 2024-04-03T09:21:21Z
department:
- _id: '841'
doi: 10.1093/imanum/dry086
intvolume: '        40'
issue: '2'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
page: 1241-1265
publication: IMA Journal of Numerical Analysis
publication_identifier:
  issn:
  - 0272-4979
  - 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Discrete maximum principles for nonlinear elliptic finite element problems
  on surfaces with boundary
type: journal_article
user_id: '100441'
volume: 40
year: '2018'
...
---
_id: '45949'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>The maximum principle forms an important
    qualitative property of second-order elliptic equations; therefore, its discrete
    analogues, the so-called discrete maximum principles (DMPs), have drawn much attention
    owing to their role in reinforcing the qualitative reliability of the given numerical
    scheme. In this paper DMPs are established for nonlinear finite element problems
    on surfaces with boundary, corresponding to the classical pointwise maximum principles
    on Riemannian manifolds in the spirit of Pucci &amp; Serrin (2007, The Maximum
    Principle. Springer). Various real-life examples illustrate the scope of the results.</jats:p>
author:
- first_name: János
  full_name: Karátson, János
  last_name: Karátson
- first_name: Balázs
  full_name: Kovács, Balázs
  last_name: Kovács
- first_name: Sergey
  full_name: Korotov, Sergey
  last_name: Korotov
citation:
  ama: Karátson J, Kovács B, Korotov S. Discrete maximum principles for nonlinear
    elliptic finite element problems on surfaces with boundary. <i>IMA Journal of
    Numerical Analysis</i>. 2018;40(2):1241-1265. doi:<a href="https://doi.org/10.1093/imanum/dry086">10.1093/imanum/dry086</a>
  apa: Karátson, J., Kovács, B., &#38; Korotov, S. (2018). Discrete maximum principles
    for nonlinear elliptic finite element problems on surfaces with boundary. <i>IMA
    Journal of Numerical Analysis</i>, <i>40</i>(2), 1241–1265. <a href="https://doi.org/10.1093/imanum/dry086">https://doi.org/10.1093/imanum/dry086</a>
  bibtex: '@article{Karátson_Kovács_Korotov_2018, title={Discrete maximum principles
    for nonlinear elliptic finite element problems on surfaces with boundary}, volume={40},
    DOI={<a href="https://doi.org/10.1093/imanum/dry086">10.1093/imanum/dry086</a>},
    number={2}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University
    Press (OUP)}, author={Karátson, János and Kovács, Balázs and Korotov, Sergey},
    year={2018}, pages={1241–1265} }'
  chicago: 'Karátson, János, Balázs Kovács, and Sergey Korotov. “Discrete Maximum
    Principles for Nonlinear Elliptic Finite Element Problems on Surfaces with Boundary.”
    <i>IMA Journal of Numerical Analysis</i> 40, no. 2 (2018): 1241–65. <a href="https://doi.org/10.1093/imanum/dry086">https://doi.org/10.1093/imanum/dry086</a>.'
  ieee: 'J. Karátson, B. Kovács, and S. Korotov, “Discrete maximum principles for
    nonlinear elliptic finite element problems on surfaces with boundary,” <i>IMA
    Journal of Numerical Analysis</i>, vol. 40, no. 2, pp. 1241–1265, 2018, doi: <a
    href="https://doi.org/10.1093/imanum/dry086">10.1093/imanum/dry086</a>.'
  mla: Karátson, János, et al. “Discrete Maximum Principles for Nonlinear Elliptic
    Finite Element Problems on Surfaces with Boundary.” <i>IMA Journal of Numerical
    Analysis</i>, vol. 40, no. 2, Oxford University Press (OUP), 2018, pp. 1241–65,
    doi:<a href="https://doi.org/10.1093/imanum/dry086">10.1093/imanum/dry086</a>.
  short: J. Karátson, B. Kovács, S. Korotov, IMA Journal of Numerical Analysis 40
    (2018) 1241–1265.
date_created: 2023-07-10T11:41:19Z
date_updated: 2024-04-03T09:21:29Z
department:
- _id: '841'
doi: 10.1093/imanum/dry086
intvolume: '        40'
issue: '2'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
page: 1241-1265
publication: IMA Journal of Numerical Analysis
publication_identifier:
  issn:
  - 0272-4979
  - 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Discrete maximum principles for nonlinear elliptic finite element problems
  on surfaces with boundary
type: journal_article
user_id: '100441'
volume: 40
year: '2018'
...
---
_id: '45947'
author:
- 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: Kovács B, Lubich C. Linearly implicit full discretization of surface evolution.
    <i>Numerische Mathematik</i>. 2018;140(1):121-152. doi:<a href="https://doi.org/10.1007/s00211-018-0962-6">10.1007/s00211-018-0962-6</a>
  apa: Kovács, B., &#38; Lubich, C. (2018). Linearly implicit full discretization
    of surface evolution. <i>Numerische Mathematik</i>, <i>140</i>(1), 121–152. <a
    href="https://doi.org/10.1007/s00211-018-0962-6">https://doi.org/10.1007/s00211-018-0962-6</a>
  bibtex: '@article{Kovács_Lubich_2018, title={Linearly implicit full discretization
    of surface evolution}, volume={140}, DOI={<a href="https://doi.org/10.1007/s00211-018-0962-6">10.1007/s00211-018-0962-6</a>},
    number={1}, journal={Numerische Mathematik}, publisher={Springer Science and Business
    Media LLC}, author={Kovács, Balázs and Lubich, Christian}, year={2018}, pages={121–152}
    }'
  chicago: 'Kovács, Balázs, and Christian Lubich. “Linearly Implicit Full Discretization
    of Surface Evolution.” <i>Numerische Mathematik</i> 140, no. 1 (2018): 121–52.
    <a href="https://doi.org/10.1007/s00211-018-0962-6">https://doi.org/10.1007/s00211-018-0962-6</a>.'
  ieee: 'B. Kovács and C. Lubich, “Linearly implicit full discretization of surface
    evolution,” <i>Numerische Mathematik</i>, vol. 140, no. 1, pp. 121–152, 2018,
    doi: <a href="https://doi.org/10.1007/s00211-018-0962-6">10.1007/s00211-018-0962-6</a>.'
  mla: Kovács, Balázs, and Christian Lubich. “Linearly Implicit Full Discretization
    of Surface Evolution.” <i>Numerische Mathematik</i>, vol. 140, no. 1, Springer
    Science and Business Media LLC, 2018, pp. 121–52, doi:<a href="https://doi.org/10.1007/s00211-018-0962-6">10.1007/s00211-018-0962-6</a>.
  short: B. Kovács, C. Lubich, Numerische Mathematik 140 (2018) 121–152.
date_created: 2023-07-10T11:40:40Z
date_updated: 2024-04-03T09:21:48Z
department:
- _id: '841'
doi: 10.1007/s00211-018-0962-6
intvolume: '       140'
issue: '1'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 121-152
publication: Numerische Mathematik
publication_identifier:
  issn:
  - 0029-599X
  - 0945-3245
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Linearly implicit full discretization of surface evolution
type: journal_article
user_id: '100441'
volume: 140
year: '2018'
...
---
_id: '45951'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
citation:
  ama: Kovács B. Computing arbitrary Lagrangian Eulerian maps for evolving surfaces.
    <i>Numerical Methods for Partial Differential Equations</i>. 2018;35(3):1093-1112.
    doi:<a href="https://doi.org/10.1002/num.22340">10.1002/num.22340</a>
  apa: Kovács, B. (2018). Computing arbitrary Lagrangian Eulerian maps for evolving
    surfaces. <i>Numerical Methods for Partial Differential Equations</i>, <i>35</i>(3),
    1093–1112. <a href="https://doi.org/10.1002/num.22340">https://doi.org/10.1002/num.22340</a>
  bibtex: '@article{Kovács_2018, title={Computing arbitrary Lagrangian Eulerian maps
    for evolving surfaces}, volume={35}, DOI={<a href="https://doi.org/10.1002/num.22340">10.1002/num.22340</a>},
    number={3}, journal={Numerical Methods for Partial Differential Equations}, publisher={Wiley},
    author={Kovács, Balázs}, year={2018}, pages={1093–1112} }'
  chicago: 'Kovács, Balázs. “Computing Arbitrary Lagrangian Eulerian Maps for Evolving
    Surfaces.” <i>Numerical Methods for Partial Differential Equations</i> 35, no.
    3 (2018): 1093–1112. <a href="https://doi.org/10.1002/num.22340">https://doi.org/10.1002/num.22340</a>.'
  ieee: 'B. Kovács, “Computing arbitrary Lagrangian Eulerian maps for evolving surfaces,”
    <i>Numerical Methods for Partial Differential Equations</i>, vol. 35, no. 3, pp.
    1093–1112, 2018, doi: <a href="https://doi.org/10.1002/num.22340">10.1002/num.22340</a>.'
  mla: Kovács, Balázs. “Computing Arbitrary Lagrangian Eulerian Maps for Evolving
    Surfaces.” <i>Numerical Methods for Partial Differential Equations</i>, vol. 35,
    no. 3, Wiley, 2018, pp. 1093–112, doi:<a href="https://doi.org/10.1002/num.22340">10.1002/num.22340</a>.
  short: B. Kovács, Numerical Methods for Partial Differential Equations 35 (2018)
    1093–1112.
date_created: 2023-07-10T11:41:54Z
date_updated: 2024-04-03T09:21:13Z
department:
- _id: '841'
doi: 10.1002/num.22340
intvolume: '        35'
issue: '3'
keyword:
- Applied Mathematics
- Computational Mathematics
- Numerical Analysis
- Analysis
language:
- iso: eng
page: 1093-1112
publication: Numerical Methods for Partial Differential Equations
publication_identifier:
  issn:
  - 0749-159X
  - 1098-2426
publication_status: published
publisher: Wiley
status: public
title: Computing arbitrary Lagrangian Eulerian maps for evolving surfaces
type: journal_article
user_id: '100441'
volume: 35
year: '2018'
...
---
_id: '53191'
abstract:
- lang: eng
  text: "<p>This paper is the first in a series of two dedicated to the study of period
    relations of the type <disp-formula content-type=\"math/mathml\">\r\n<mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper L left-parenthesis
    one half plus k comma normal upper Pi right-parenthesis element-of left-parenthesis
    2 pi i right-parenthesis Superscript d dot k Baseline normal upper Omega Subscript
    left-parenthesis negative 1 right-parenthesis Sub Superscript k Subscript Baseline
    reverse-solidus bf upper Q left-parenthesis normal upper Pi right-parenthesis
    comma one half plus k critical comma\">\r\n  <mml:semantics>\r\n    <mml:mrow>\r\n
    \     <mml:mi>L</mml:mi>\r\n      <mml:mstyle scriptlevel=\"0\">\r\n        <mml:mrow
    class=\"MJX-TeXAtom-ORD\">\r\n          <mml:mo maxsize=\"1.623em\" minsize=\"1.623em\">(</mml:mo>\r\n
    \       </mml:mrow>\r\n      </mml:mstyle>\r\n      <mml:mfrac>\r\n        <mml:mn>1</mml:mn>\r\n
    \       <mml:mn>2</mml:mn>\r\n      </mml:mfrac>\r\n      <mml:mo>+</mml:mo>\r\n
    \     <mml:mi>k</mml:mi>\r\n      <mml:mo>,</mml:mo>\r\n      <mml:mi mathvariant=\"normal\">Π<!--
    Π --></mml:mi>\r\n      <mml:mstyle scriptlevel=\"0\">\r\n        <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n
    \         <mml:mo maxsize=\"1.623em\" minsize=\"1.623em\">)</mml:mo>\r\n        </mml:mrow>\r\n
    \     </mml:mstyle>\r\n      <mml:mspace width=\"thickmathspace\" />\r\n      <mml:mo>∈<!--
    ∈ --></mml:mo>\r\n      <mml:mspace width=\"thickmathspace\" />\r\n      <mml:mo
    stretchy=\"false\">(</mml:mo>\r\n      <mml:mn>2</mml:mn>\r\n      <mml:mi>π<!--
    π --></mml:mi>\r\n      <mml:mi>i</mml:mi>\r\n      <mml:msup>\r\n        <mml:mo
    stretchy=\"false\">)</mml:mo>\r\n        <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n
    \         <mml:mi>d</mml:mi>\r\n          <mml:mo>⋅<!-- ⋅ --></mml:mo>\r\n          <mml:mi>k</mml:mi>\r\n
    \       </mml:mrow>\r\n      </mml:msup>\r\n      <mml:msub>\r\n        <mml:mi
    mathvariant=\"normal\">Ω<!-- Ω --></mml:mi>\r\n        <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n
    \         <mml:mo stretchy=\"false\">(</mml:mo>\r\n          <mml:mo>−<!-- − --></mml:mo>\r\n
    \         <mml:mn>1</mml:mn>\r\n          <mml:msup>\r\n            <mml:mo stretchy=\"false\">)</mml:mo>\r\n
    \           <mml:mi>k</mml:mi>\r\n          </mml:msup>\r\n        </mml:mrow>\r\n
    \     </mml:msub>\r\n      <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n        <mml:mtext>\\bf
    Q</mml:mtext>\r\n      </mml:mrow>\r\n      <mml:mo stretchy=\"false\">(</mml:mo>\r\n
    \     <mml:mi mathvariant=\"normal\">Π<!-- Π --></mml:mi>\r\n      <mml:mo stretchy=\"false\">)</mml:mo>\r\n
    \     <mml:mo>,</mml:mo>\r\n      <mml:mspace width=\"1em\" />\r\n      <mml:mfrac>\r\n
    \       <mml:mn>1</mml:mn>\r\n        <mml:mn>2</mml:mn>\r\n      </mml:mfrac>\r\n
    \     <mml:mo>+</mml:mo>\r\n      <mml:mi>k</mml:mi>\r\n      <mml:mspace width=\"thickmathspace\"
    />\r\n      <mml:mtext>critical</mml:mtext>\r\n      <mml:mo>,</mml:mo>\r\n    </mml:mrow>\r\n
    \   <mml:annotation encoding=\"application/x-tex\">\\begin{equation*} L\\Big (\\frac
    {1}{2}+k,\\Pi \\Big )\\;\\in \\;(2\\pi i)^{d\\cdot k}\\Omega _{(-1)^k}\\textrm
    {\\bf Q}(\\Pi ),\\quad \\frac {1}{2}+k\\;\\text {critical}, \\end{equation*}</mml:annotation>\r\n
    \ </mml:semantics>\r\n</mml:math>\r\n</disp-formula>\r\n for certain automorphic
    representations <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"
    alttext=\"normal upper Pi\">\r\n  <mml:semantics>\r\n    <mml:mi mathvariant=\"normal\">Π<!--
    Π --></mml:mi>\r\n    <mml:annotation encoding=\"application/x-tex\">\\Pi</mml:annotation>\r\n
    \ </mml:semantics>\r\n</mml:math>\r\n</inline-formula> of a reductive group <inline-formula
    content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"
    alttext=\"upper G period\">\r\n  <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:mi>G</mml:mi>\r\n
    \     <mml:mo>.</mml:mo>\r\n    </mml:mrow>\r\n    <mml:annotation encoding=\"application/x-tex\">G.</mml:annotation>\r\n
    \ </mml:semantics>\r\n</mml:math>\r\n</inline-formula> In this paper we discuss
    the case <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"
    alttext=\"upper G equals normal upper G normal upper L left-parenthesis n plus
    1 right-parenthesis times normal upper G normal upper L left-parenthesis n right-parenthesis
    period\">\r\n  <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:mi>G</mml:mi>\r\n
    \     <mml:mo>=</mml:mo>\r\n      <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n        <mml:mi
    mathvariant=\"normal\">G</mml:mi>\r\n        <mml:mi mathvariant=\"normal\">L</mml:mi>\r\n
    \     </mml:mrow>\r\n      <mml:mo stretchy=\"false\">(</mml:mo>\r\n      <mml:mi>n</mml:mi>\r\n
    \     <mml:mo>+</mml:mo>\r\n      <mml:mn>1</mml:mn>\r\n      <mml:mo stretchy=\"false\">)</mml:mo>\r\n
    \     <mml:mo>×<!-- × --></mml:mo>\r\n      <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n
    \       <mml:mi mathvariant=\"normal\">G</mml:mi>\r\n        <mml:mi mathvariant=\"normal\">L</mml:mi>\r\n
    \     </mml:mrow>\r\n      <mml:mo stretchy=\"false\">(</mml:mo>\r\n      <mml:mi>n</mml:mi>\r\n
    \     <mml:mo stretchy=\"false\">)</mml:mo>\r\n      <mml:mo>.</mml:mo>\r\n    </mml:mrow>\r\n
    \   <mml:annotation encoding=\"application/x-tex\">G=\\mathrm {GL}(n+1)\\times
    \\mathrm {GL}(n).</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula>
    The case <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"
    alttext=\"upper G equals normal upper G normal upper L left-parenthesis 2 n right-parenthesis\">\r\n
    \ <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:mi>G</mml:mi>\r\n      <mml:mo>=</mml:mo>\r\n
    \     <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n        <mml:mi mathvariant=\"normal\">G</mml:mi>\r\n
    \       <mml:mi mathvariant=\"normal\">L</mml:mi>\r\n      </mml:mrow>\r\n      <mml:mo
    stretchy=\"false\">(</mml:mo>\r\n      <mml:mn>2</mml:mn>\r\n      <mml:mi>n</mml:mi>\r\n
    \     <mml:mo stretchy=\"false\">)</mml:mo>\r\n    </mml:mrow>\r\n    <mml:annotation
    encoding=\"application/x-tex\">G=\\mathrm {GL}(2n)</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula>
    is discussed in part two. Our method is representation theoretic and relies on
    the author’s recent results on global rational structures on automorphic representations.
    We show that the above period relations are intimately related to the field of
    definition of the global representation <inline-formula content-type=\"math/mathml\">\r\n<mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"normal upper Pi\">\r\n
    \ <mml:semantics>\r\n    <mml:mi mathvariant=\"normal\">Π<!-- Π --></mml:mi>\r\n
    \   <mml:annotation encoding=\"application/x-tex\">\\Pi</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula>
    under consideration. The new period relations we prove are in accordance with
    Deligne’s Conjecture on special values of <inline-formula content-type=\"math/mathml\">\r\n<mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper L\">\r\n  <mml:semantics>\r\n
    \   <mml:mi>L</mml:mi>\r\n    <mml:annotation encoding=\"application/x-tex\">L</mml:annotation>\r\n
    \ </mml:semantics>\r\n</mml:math>\r\n</inline-formula>-functions, and the author
    expects this method to apply to other cases as well.</p>"
article_type: original
author:
- first_name: Fabian
  full_name: Januszewski, Fabian
  id: '81636'
  last_name: Januszewski
  orcid: 0000-0002-3184-237X
citation:
  ama: "Januszewski F. On period relations for automorphic \U0001D43F-functions I.
    <i>Transactions of the American Mathematical Society</i>. 2018;371(9):6547-6580.
    doi:<a href=\"https://doi.org/10.1090/tran/7527\">10.1090/tran/7527</a>"
  apa: "Januszewski, F. (2018). On period relations for automorphic \U0001D43F-functions
    I. <i>Transactions of the American Mathematical Society</i>, <i>371</i>(9), 6547–6580.
    <a href=\"https://doi.org/10.1090/tran/7527\">https://doi.org/10.1090/tran/7527</a>"
  bibtex: "@article{Januszewski_2018, title={On period relations for automorphic \U0001D43F-functions
    I}, volume={371}, DOI={<a href=\"https://doi.org/10.1090/tran/7527\">10.1090/tran/7527</a>},
    number={9}, journal={Transactions of the American Mathematical Society}, publisher={American
    Mathematical Society (AMS)}, author={Januszewski, Fabian}, year={2018}, pages={6547–6580}
    }"
  chicago: "Januszewski, Fabian. “On Period Relations for Automorphic \U0001D43F-Functions
    I.” <i>Transactions of the American Mathematical Society</i> 371, no. 9 (2018):
    6547–80. <a href=\"https://doi.org/10.1090/tran/7527\">https://doi.org/10.1090/tran/7527</a>."
  ieee: "F. Januszewski, “On period relations for automorphic \U0001D43F-functions
    I,” <i>Transactions of the American Mathematical Society</i>, vol. 371, no. 9,
    pp. 6547–6580, 2018, doi: <a href=\"https://doi.org/10.1090/tran/7527\">10.1090/tran/7527</a>."
  mla: "Januszewski, Fabian. “On Period Relations for Automorphic \U0001D43F-Functions
    I.” <i>Transactions of the American Mathematical Society</i>, vol. 371, no. 9,
    American Mathematical Society (AMS), 2018, pp. 6547–80, doi:<a href=\"https://doi.org/10.1090/tran/7527\">10.1090/tran/7527</a>."
  short: F. Januszewski, Transactions of the American Mathematical Society 371 (2018)
    6547–6580.
date_created: 2024-04-03T16:58:26Z
date_updated: 2024-04-03T17:26:38Z
doi: 10.1090/tran/7527
extern: '1'
intvolume: '       371'
issue: '9'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
page: 6547-6580
publication: Transactions of the American Mathematical Society
publication_identifier:
  issn:
  - 0002-9947
  - 1088-6850
publication_status: published
publisher: American Mathematical Society (AMS)
status: public
title: "On period relations for automorphic \U0001D43F-functions I"
type: journal_article
user_id: '81636'
volume: 371
year: '2018'
...
---
_id: '48321'
author:
- first_name: Lena
  full_name: Wessel, Lena
  id: '85190'
  last_name: Wessel
- first_name: Kirstin
  full_name: Erath, Kirstin
  last_name: Erath
citation:
  ama: Wessel L, Erath K. Theoretical frameworks for designing and analyzing language-responsive
    mathematics teaching–learning arrangements. <i>ZDM</i>. 2018;50(6):1053-1064.
    doi:<a href="https://doi.org/10.1007/s11858-018-0980-y">10.1007/s11858-018-0980-y</a>
  apa: Wessel, L., &#38; Erath, K. (2018). Theoretical frameworks for designing and
    analyzing language-responsive mathematics teaching–learning arrangements. <i>ZDM</i>,
    <i>50</i>(6), 1053–1064. <a href="https://doi.org/10.1007/s11858-018-0980-y">https://doi.org/10.1007/s11858-018-0980-y</a>
  bibtex: '@article{Wessel_Erath_2018, title={Theoretical frameworks for designing
    and analyzing language-responsive mathematics teaching–learning arrangements},
    volume={50}, DOI={<a href="https://doi.org/10.1007/s11858-018-0980-y">10.1007/s11858-018-0980-y</a>},
    number={6}, journal={ZDM}, publisher={Springer Science and Business Media LLC},
    author={Wessel, Lena and Erath, Kirstin}, year={2018}, pages={1053–1064} }'
  chicago: 'Wessel, Lena, and Kirstin Erath. “Theoretical Frameworks for Designing
    and Analyzing Language-Responsive Mathematics Teaching–Learning Arrangements.”
    <i>ZDM</i> 50, no. 6 (2018): 1053–64. <a href="https://doi.org/10.1007/s11858-018-0980-y">https://doi.org/10.1007/s11858-018-0980-y</a>.'
  ieee: 'L. Wessel and K. Erath, “Theoretical frameworks for designing and analyzing
    language-responsive mathematics teaching–learning arrangements,” <i>ZDM</i>, vol.
    50, no. 6, pp. 1053–1064, 2018, doi: <a href="https://doi.org/10.1007/s11858-018-0980-y">10.1007/s11858-018-0980-y</a>.'
  mla: Wessel, Lena, and Kirstin Erath. “Theoretical Frameworks for Designing and
    Analyzing Language-Responsive Mathematics Teaching–Learning Arrangements.” <i>ZDM</i>,
    vol. 50, no. 6, Springer Science and Business Media LLC, 2018, pp. 1053–64, doi:<a
    href="https://doi.org/10.1007/s11858-018-0980-y">10.1007/s11858-018-0980-y</a>.
  short: L. Wessel, K. Erath, ZDM 50 (2018) 1053–1064.
date_created: 2023-10-19T09:28:27Z
date_updated: 2024-04-18T09:04:31Z
department:
- _id: '643'
doi: 10.1007/s11858-018-0980-y
intvolume: '        50'
issue: '6'
keyword:
- General Mathematics
- Education
language:
- iso: eng
page: 1053-1064
publication: ZDM
publication_identifier:
  issn:
  - 1863-9690
  - 1863-9704
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Theoretical frameworks for designing and analyzing language-responsive mathematics
  teaching–learning arrangements
type: journal_article
user_id: '37888'
volume: 50
year: '2018'
...
---
_id: '8575'
abstract:
- lang: eng
  text: The transition from high school to university mathematics has proven to be
    difficult for many students but especially for pre-service secondary teachers.
    To support these students at mastering this transition, various universities have
    introduced support measures of various kinds. The WiGeMath project developed a
    taxonomy that makes it possible to describe and compare these measures concerning
    their goals as well as their frame characteristics. We will exemplify the use
    of the taxonomy in the description of one specific innovative measure that was
    part of the WiGeMath evaluations. Moreover, we will present first results concerning
    the goal-fulfilment of this measure concerning affective characteristics of the
    student cohort and their predominant beliefs.
author:
- first_name: Christiane
  full_name: Kuklinski, Christiane
  last_name: Kuklinski
- first_name: Elena
  full_name: Leis, Elena
  last_name: Leis
- first_name: Michael
  full_name: Liebendörfer, Michael
  id: '30933'
  last_name: Liebendörfer
  orcid: 0000-0001-9887-2074
- first_name: Reinhard
  full_name: Hochmuth, Reinhard
  last_name: Hochmuth
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Elisa
  full_name: Lankeit, Elisa
  last_name: Lankeit
- first_name: Silke
  full_name: Neuhaus, Silke
  last_name: Neuhaus
- first_name: Niclas
  full_name: Schaper, Niclas
  last_name: Schaper
- first_name: Mirko
  full_name: Schürmann, Mirko
  id: '59707'
  last_name: Schürmann
  orcid: 0000-0003-2646-085X
citation:
  ama: 'Kuklinski C, Leis E, Liebendörfer M, et al. Evaluating Innovative Measures
    in University Mathematics – The Case of Affective Outcomes in a Lecture focused
    on Problem-Solving. In: Durand-Guerrier V, Hochmuth R, Goodchild S, Hogstad NM,
    eds. <i>Proceedings of the Second Conference of the International Network for
    Didactic Research in University Mathematics (INDRUM 2018, 5-7 April 2018)</i>.
    INDRUM Network, University of Agder; 2018:527-536.'
  apa: Kuklinski, C., Leis, E., Liebendörfer, M., Hochmuth, R., Biehler, R., Lankeit,
    E., Neuhaus, S., Schaper, N., &#38; Schürmann, M. (2018). Evaluating Innovative
    Measures in University Mathematics – The Case of Affective Outcomes in a Lecture
    focused on Problem-Solving. In V. Durand-Guerrier, R. Hochmuth, S. Goodchild,
    &#38; N. M. Hogstad (Eds.), <i>Proceedings of the Second Conference of the International
    Network for Didactic Research in University Mathematics (INDRUM 2018, 5-7 April
    2018)</i> (pp. 527–536). INDRUM Network, University of Agder.
  bibtex: '@inproceedings{Kuklinski_Leis_Liebendörfer_Hochmuth_Biehler_Lankeit_Neuhaus_Schaper_Schürmann_2018,
    place={Kristiansand, Norway}, title={Evaluating Innovative Measures in University
    Mathematics – The Case of Affective Outcomes in a Lecture focused on Problem-Solving},
    booktitle={Proceedings of the Second Conference of the International Network for
    Didactic Research in University Mathematics (INDRUM 2018, 5-7 April 2018)}, publisher={INDRUM
    Network, University of Agder}, author={Kuklinski, Christiane and Leis, Elena and
    Liebendörfer, Michael and Hochmuth, Reinhard and Biehler, Rolf and Lankeit, Elisa
    and Neuhaus, Silke and Schaper, Niclas and Schürmann, Mirko}, editor={Durand-Guerrier,
    V. and Hochmuth, R. and Goodchild, S. and Hogstad, N.M.}, year={2018}, pages={527–536}
    }'
  chicago: 'Kuklinski, Christiane, Elena Leis, Michael Liebendörfer, Reinhard Hochmuth,
    Rolf Biehler, Elisa Lankeit, Silke Neuhaus, Niclas Schaper, and Mirko Schürmann.
    “Evaluating Innovative Measures in University Mathematics – The Case of Affective
    Outcomes in a Lecture Focused on Problem-Solving.” In <i>Proceedings of the Second
    Conference of the International Network for Didactic Research in University Mathematics
    (INDRUM 2018, 5-7 April 2018)</i>, edited by V. Durand-Guerrier, R. Hochmuth,
    S. Goodchild, and N.M. Hogstad, 527–36. Kristiansand, Norway: INDRUM Network,
    University of Agder, 2018.'
  ieee: C. Kuklinski <i>et al.</i>, “Evaluating Innovative Measures in University
    Mathematics – The Case of Affective Outcomes in a Lecture focused on Problem-Solving,”
    in <i>Proceedings of the Second Conference of the International Network for Didactic
    Research in University Mathematics (INDRUM 2018, 5-7 April 2018)</i>, 2018, pp.
    527–536.
  mla: Kuklinski, Christiane, et al. “Evaluating Innovative Measures in University
    Mathematics – The Case of Affective Outcomes in a Lecture Focused on Problem-Solving.”
    <i>Proceedings of the Second Conference of the International Network for Didactic
    Research in University Mathematics (INDRUM 2018, 5-7 April 2018)</i>, edited by
    V. Durand-Guerrier et al., INDRUM Network, University of Agder, 2018, pp. 527–36.
  short: 'C. Kuklinski, E. Leis, M. Liebendörfer, R. Hochmuth, R. Biehler, E. Lankeit,
    S. Neuhaus, N. Schaper, M. Schürmann, in: V. Durand-Guerrier, R. Hochmuth, S.
    Goodchild, N.M. Hogstad (Eds.), Proceedings of the Second Conference of the International
    Network for Didactic Research in University Mathematics (INDRUM 2018, 5-7 April
    2018), INDRUM Network, University of Agder, Kristiansand, Norway, 2018, pp. 527–536.'
date_created: 2019-03-25T15:35:42Z
date_updated: 2023-01-17T23:36:13Z
department:
- _id: '10'
editor:
- first_name: V.
  full_name: Durand-Guerrier, V.
  last_name: Durand-Guerrier
- first_name: R.
  full_name: Hochmuth, R.
  last_name: Hochmuth
- first_name: S.
  full_name: Goodchild, S.
  last_name: Goodchild
- first_name: N.M.
  full_name: Hogstad, N.M.
  last_name: Hogstad
extern: '1'
keyword:
- Beliefs.
- Motivational developments
- Novel approaches to teaching
- Teacher education
- Transition to and across university mathematics
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://hal.archives-ouvertes.fr/INDRUM2018/public/Indrum2018Proceedings.pdf
oa: '1'
page: 527-536
place: Kristiansand, Norway
publication: Proceedings of the Second Conference of the International Network for
  Didactic Research in University Mathematics (INDRUM 2018, 5-7 April 2018)
publisher: INDRUM Network, University of Agder
quality_controlled: '1'
status: public
title: Evaluating Innovative Measures in University Mathematics – The Case of Affective
  Outcomes in a Lecture focused on Problem-Solving
type: conference
user_id: '14931'
year: '2018'
...
---
_id: '37661'
alternative_title:
- Beta Distributions and Sonine Integrals
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
- first_name: Michael
  full_name: Voit, Michael
  last_name: Voit
citation:
  ama: Rösler M, Voit M. Beta Distributions and Sonine Integrals for Bessel Functions
    on Symmetric Cones. <i>Studies in Applied Mathematics</i>. 2018;141(4):474-500.
    doi:<a href="https://doi.org/10.1111/sapm.12217">10.1111/sapm.12217</a>
  apa: Rösler, M., &#38; Voit, M. (2018). Beta Distributions and Sonine Integrals
    for Bessel Functions on Symmetric Cones. <i>Studies in Applied Mathematics</i>,
    <i>141</i>(4), 474–500. <a href="https://doi.org/10.1111/sapm.12217">https://doi.org/10.1111/sapm.12217</a>
  bibtex: '@article{Rösler_Voit_2018, title={Beta Distributions and Sonine Integrals
    for Bessel Functions on Symmetric Cones}, volume={141}, DOI={<a href="https://doi.org/10.1111/sapm.12217">10.1111/sapm.12217</a>},
    number={4}, journal={Studies in Applied Mathematics}, publisher={Wiley}, author={Rösler,
    Margit and Voit, Michael}, year={2018}, pages={474–500} }'
  chicago: 'Rösler, Margit, and Michael Voit. “Beta Distributions and Sonine Integrals
    for Bessel Functions on Symmetric Cones.” <i>Studies in Applied Mathematics</i>
    141, no. 4 (2018): 474–500. <a href="https://doi.org/10.1111/sapm.12217">https://doi.org/10.1111/sapm.12217</a>.'
  ieee: 'M. Rösler and M. Voit, “Beta Distributions and Sonine Integrals for Bessel
    Functions on Symmetric Cones,” <i>Studies in Applied Mathematics</i>, vol. 141,
    no. 4, pp. 474–500, 2018, doi: <a href="https://doi.org/10.1111/sapm.12217">10.1111/sapm.12217</a>.'
  mla: Rösler, Margit, and Michael Voit. “Beta Distributions and Sonine Integrals
    for Bessel Functions on Symmetric Cones.” <i>Studies in Applied Mathematics</i>,
    vol. 141, no. 4, Wiley, 2018, pp. 474–500, doi:<a href="https://doi.org/10.1111/sapm.12217">10.1111/sapm.12217</a>.
  short: M. Rösler, M. Voit, Studies in Applied Mathematics 141 (2018) 474–500.
date_created: 2023-01-20T09:24:36Z
date_updated: 2023-01-24T22:15:51Z
department:
- _id: '555'
doi: 10.1111/sapm.12217
intvolume: '       141'
issue: '4'
keyword:
- Applied Mathematics
language:
- iso: eng
page: 474-500
publication: Studies in Applied Mathematics
publication_identifier:
  issn:
  - 0022-2526
publication_status: published
publisher: Wiley
status: public
title: Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones
type: journal_article
user_id: '93826'
volume: 141
year: '2018'
...
---
_id: '40050'
author:
- first_name: Boris
  full_name: Baeumer, Boris
  last_name: Baeumer
- first_name: Tomasz
  full_name: Luks, Tomasz
  id: '58312'
  last_name: Luks
- first_name: Mark M.
  full_name: Meerschaert, Mark M.
  last_name: Meerschaert
citation:
  ama: Baeumer B, Luks T, Meerschaert MM. Space‐time fractional Dirichlet problems.
    <i>Mathematische Nachrichten</i>. 2018;291(17-18):2516-2535. doi:<a href="https://doi.org/10.1002/mana.201700111">10.1002/mana.201700111</a>
  apa: Baeumer, B., Luks, T., &#38; Meerschaert, M. M. (2018). Space‐time fractional
    Dirichlet problems. <i>Mathematische Nachrichten</i>, <i>291</i>(17–18), 2516–2535.
    <a href="https://doi.org/10.1002/mana.201700111">https://doi.org/10.1002/mana.201700111</a>
  bibtex: '@article{Baeumer_Luks_Meerschaert_2018, title={Space‐time fractional Dirichlet
    problems}, volume={291}, DOI={<a href="https://doi.org/10.1002/mana.201700111">10.1002/mana.201700111</a>},
    number={17–18}, journal={Mathematische Nachrichten}, publisher={Wiley}, author={Baeumer,
    Boris and Luks, Tomasz and Meerschaert, Mark M.}, year={2018}, pages={2516–2535}
    }'
  chicago: 'Baeumer, Boris, Tomasz Luks, and Mark M. Meerschaert. “Space‐time Fractional
    Dirichlet Problems.” <i>Mathematische Nachrichten</i> 291, no. 17–18 (2018): 2516–35.
    <a href="https://doi.org/10.1002/mana.201700111">https://doi.org/10.1002/mana.201700111</a>.'
  ieee: 'B. Baeumer, T. Luks, and M. M. Meerschaert, “Space‐time fractional Dirichlet
    problems,” <i>Mathematische Nachrichten</i>, vol. 291, no. 17–18, pp. 2516–2535,
    2018, doi: <a href="https://doi.org/10.1002/mana.201700111">10.1002/mana.201700111</a>.'
  mla: Baeumer, Boris, et al. “Space‐time Fractional Dirichlet Problems.” <i>Mathematische
    Nachrichten</i>, vol. 291, no. 17–18, Wiley, 2018, pp. 2516–35, doi:<a href="https://doi.org/10.1002/mana.201700111">10.1002/mana.201700111</a>.
  short: B. Baeumer, T. Luks, M.M. Meerschaert, Mathematische Nachrichten 291 (2018)
    2516–2535.
date_created: 2023-01-25T15:11:01Z
date_updated: 2023-01-26T17:19:39Z
department:
- _id: '555'
doi: 10.1002/mana.201700111
intvolume: '       291'
issue: 17-18
keyword:
- General Mathematics
language:
- iso: eng
page: 2516-2535
publication: Mathematische Nachrichten
publication_identifier:
  issn:
  - 0025-584X
  - 1522-2616
publication_status: published
publisher: Wiley
status: public
title: Space‐time fractional Dirichlet problems
type: journal_article
user_id: '58312'
volume: 291
year: '2018'
...
---
_id: '34843'
abstract:
- lang: eng
  text: "A polynomial time algorithm to find generators of the lattice of all subfields
    of a given number field was given in van Hoeij et al. (2013).\r\n\r\nThis article
    reports on a massive speedup of this algorithm. This is primary achieved by our
    new concept of Galois-generating subfields. In general this is a very small set
    of subfields that determine all other subfields in a group-theoretic way. We compute
    them by targeted calls to the method from van Hoeij et al. (2013). For an early
    termination of these calls, we give a list of criteria that imply that further
    calls will not result in additional subfields.\r\n\r\nFinally, we explain how
    we use subfields to get a good starting group for the computation of Galois groups."
author:
- first_name: Andreas-Stephan
  full_name: Elsenhans, Andreas-Stephan
  last_name: Elsenhans
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Elsenhans A-S, Klüners J. Computing subfields of number fields and applications
    to Galois group computations. <i>Journal of Symbolic Computation</i>. 2018;93:1-20.
    doi:<a href="https://doi.org/10.1016/j.jsc.2018.04.013">10.1016/j.jsc.2018.04.013</a>
  apa: Elsenhans, A.-S., &#38; Klüners, J. (2018). Computing subfields of number fields
    and applications to Galois group computations. <i>Journal of Symbolic Computation</i>,
    <i>93</i>, 1–20. <a href="https://doi.org/10.1016/j.jsc.2018.04.013">https://doi.org/10.1016/j.jsc.2018.04.013</a>
  bibtex: '@article{Elsenhans_Klüners_2018, title={Computing subfields of number fields
    and applications to Galois group computations}, volume={93}, DOI={<a href="https://doi.org/10.1016/j.jsc.2018.04.013">10.1016/j.jsc.2018.04.013</a>},
    journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={Elsenhans,
    Andreas-Stephan and Klüners, Jürgen}, year={2018}, pages={1–20} }'
  chicago: 'Elsenhans, Andreas-Stephan, and Jürgen Klüners. “Computing Subfields of
    Number Fields and Applications to Galois Group Computations.” <i>Journal of Symbolic
    Computation</i> 93 (2018): 1–20. <a href="https://doi.org/10.1016/j.jsc.2018.04.013">https://doi.org/10.1016/j.jsc.2018.04.013</a>.'
  ieee: 'A.-S. Elsenhans and J. Klüners, “Computing subfields of number fields and
    applications to Galois group computations,” <i>Journal of Symbolic Computation</i>,
    vol. 93, pp. 1–20, 2018, doi: <a href="https://doi.org/10.1016/j.jsc.2018.04.013">10.1016/j.jsc.2018.04.013</a>.'
  mla: Elsenhans, Andreas-Stephan, and Jürgen Klüners. “Computing Subfields of Number
    Fields and Applications to Galois Group Computations.” <i>Journal of Symbolic
    Computation</i>, vol. 93, Elsevier BV, 2018, pp. 1–20, doi:<a href="https://doi.org/10.1016/j.jsc.2018.04.013">10.1016/j.jsc.2018.04.013</a>.
  short: A.-S. Elsenhans, J. Klüners, Journal of Symbolic Computation 93 (2018) 1–20.
date_created: 2022-12-22T10:52:18Z
date_updated: 2023-03-06T09:05:51Z
department:
- _id: '102'
doi: 10.1016/j.jsc.2018.04.013
external_id:
  arxiv:
  - '1610.06837 '
intvolume: '        93'
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 1-20
publication: Journal of Symbolic Computation
publication_identifier:
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: Computing subfields of number fields and applications to Galois group computations
type: journal_article
user_id: '93826'
volume: 93
year: '2018'
...
---
_id: '34663'
author:
- first_name: Tobias
  full_name: Black, Tobias
  id: '23686'
  last_name: Black
  orcid: 0000-0001-9963-0800
citation:
  ama: Black T. Global existence and asymptotic stability in a competitive two-species
    chemotaxis system with two signals. <i>Discrete &#38;amp; Continuous Dynamical
    Systems - B</i>. 2017;22(4):1253-1272. doi:<a href="https://doi.org/10.3934/dcdsb.2017061">10.3934/dcdsb.2017061</a>
  apa: Black, T. (2017). Global existence and asymptotic stability in a competitive
    two-species chemotaxis system with two signals. <i>Discrete &#38;amp; Continuous
    Dynamical Systems - B</i>, <i>22</i>(4), 1253–1272. <a href="https://doi.org/10.3934/dcdsb.2017061">https://doi.org/10.3934/dcdsb.2017061</a>
  bibtex: '@article{Black_2017, title={Global existence and asymptotic stability in
    a competitive two-species chemotaxis system with two signals}, volume={22}, DOI={<a
    href="https://doi.org/10.3934/dcdsb.2017061">10.3934/dcdsb.2017061</a>}, number={4},
    journal={Discrete &#38;amp; Continuous Dynamical Systems - B}, publisher={American
    Institute of Mathematical Sciences (AIMS)}, author={Black, Tobias}, year={2017},
    pages={1253–1272} }'
  chicago: 'Black, Tobias. “Global Existence and Asymptotic Stability in a Competitive
    Two-Species Chemotaxis System with Two Signals.” <i>Discrete &#38;amp; Continuous
    Dynamical Systems - B</i> 22, no. 4 (2017): 1253–72. <a href="https://doi.org/10.3934/dcdsb.2017061">https://doi.org/10.3934/dcdsb.2017061</a>.'
  ieee: 'T. Black, “Global existence and asymptotic stability in a competitive two-species
    chemotaxis system with two signals,” <i>Discrete &#38;amp; Continuous Dynamical
    Systems - B</i>, vol. 22, no. 4, pp. 1253–1272, 2017, doi: <a href="https://doi.org/10.3934/dcdsb.2017061">10.3934/dcdsb.2017061</a>.'
  mla: Black, Tobias. “Global Existence and Asymptotic Stability in a Competitive
    Two-Species Chemotaxis System with Two Signals.” <i>Discrete &#38;amp; Continuous
    Dynamical Systems - B</i>, vol. 22, no. 4, American Institute of Mathematical
    Sciences (AIMS), 2017, pp. 1253–72, doi:<a href="https://doi.org/10.3934/dcdsb.2017061">10.3934/dcdsb.2017061</a>.
  short: T. Black, Discrete &#38;amp; Continuous Dynamical Systems - B 22 (2017) 1253–1272.
date_created: 2022-12-21T09:46:50Z
date_updated: 2022-12-21T10:05:19Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.3934/dcdsb.2017061
intvolume: '        22'
issue: '4'
keyword:
- Applied Mathematics
- Discrete Mathematics and Combinatorics
language:
- iso: eng
page: 1253-1272
publication: Discrete &amp; Continuous Dynamical Systems - B
publication_identifier:
  issn:
  - 1553-524X
publication_status: published
publisher: American Institute of Mathematical Sciences (AIMS)
status: public
title: Global existence and asymptotic stability in a competitive two-species chemotaxis
  system with two signals
type: journal_article
user_id: '23686'
volume: 22
year: '2017'
...
---
_id: '34665'
author:
- first_name: Tobias
  full_name: Black, Tobias
  id: '23686'
  last_name: Black
  orcid: 0000-0001-9963-0800
- first_name: Johannes
  full_name: Lankeit, Johannes
  last_name: Lankeit
- first_name: Masaaki
  full_name: Mizukami, Masaaki
  last_name: Mizukami
citation:
  ama: Black T, Lankeit J, Mizukami M. Singular sensitivity in a Keller–Segel-fluid
    system. <i>Journal of Evolution Equations</i>. 2017;18(2):561-581. doi:<a href="https://doi.org/10.1007/s00028-017-0411-5">10.1007/s00028-017-0411-5</a>
  apa: Black, T., Lankeit, J., &#38; Mizukami, M. (2017). Singular sensitivity in
    a Keller–Segel-fluid system. <i>Journal of Evolution Equations</i>, <i>18</i>(2),
    561–581. <a href="https://doi.org/10.1007/s00028-017-0411-5">https://doi.org/10.1007/s00028-017-0411-5</a>
  bibtex: '@article{Black_Lankeit_Mizukami_2017, title={Singular sensitivity in a
    Keller–Segel-fluid system}, volume={18}, DOI={<a href="https://doi.org/10.1007/s00028-017-0411-5">10.1007/s00028-017-0411-5</a>},
    number={2}, journal={Journal of Evolution Equations}, publisher={Springer Science
    and Business Media LLC}, author={Black, Tobias and Lankeit, Johannes and Mizukami,
    Masaaki}, year={2017}, pages={561–581} }'
  chicago: 'Black, Tobias, Johannes Lankeit, and Masaaki Mizukami. “Singular Sensitivity
    in a Keller–Segel-Fluid System.” <i>Journal of Evolution Equations</i> 18, no.
    2 (2017): 561–81. <a href="https://doi.org/10.1007/s00028-017-0411-5">https://doi.org/10.1007/s00028-017-0411-5</a>.'
  ieee: 'T. Black, J. Lankeit, and M. Mizukami, “Singular sensitivity in a Keller–Segel-fluid
    system,” <i>Journal of Evolution Equations</i>, vol. 18, no. 2, pp. 561–581, 2017,
    doi: <a href="https://doi.org/10.1007/s00028-017-0411-5">10.1007/s00028-017-0411-5</a>.'
  mla: Black, Tobias, et al. “Singular Sensitivity in a Keller–Segel-Fluid System.”
    <i>Journal of Evolution Equations</i>, vol. 18, no. 2, Springer Science and Business
    Media LLC, 2017, pp. 561–81, doi:<a href="https://doi.org/10.1007/s00028-017-0411-5">10.1007/s00028-017-0411-5</a>.
  short: T. Black, J. Lankeit, M. Mizukami, Journal of Evolution Equations 18 (2017)
    561–581.
date_created: 2022-12-21T09:47:13Z
date_updated: 2022-12-21T10:05:25Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1007/s00028-017-0411-5
intvolume: '        18'
issue: '2'
keyword:
- Mathematics (miscellaneous)
language:
- iso: eng
page: 561-581
publication: Journal of Evolution Equations
publication_identifier:
  issn:
  - 1424-3199
  - 1424-3202
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Singular sensitivity in a Keller–Segel-fluid system
type: journal_article
user_id: '23686'
volume: 18
year: '2017'
...
---
_id: '31272'
author:
- first_name: Benjamin
  full_name: Harris, Benjamin
  last_name: Harris
- first_name: Tobias
  full_name: Weich, Tobias
  id: '49178'
  last_name: Weich
  orcid: 0000-0002-9648-6919
citation:
  ama: Harris B, Weich T. Wave front sets of reductive Lie group representations III.
    <i>Advances in Mathematics</i>. 2017;313:176-236. doi:<a href="https://doi.org/10.1016/j.aim.2017.03.025">10.1016/j.aim.2017.03.025</a>
  apa: Harris, B., &#38; Weich, T. (2017). Wave front sets of reductive Lie group
    representations III. <i>Advances in Mathematics</i>, <i>313</i>, 176–236. <a href="https://doi.org/10.1016/j.aim.2017.03.025">https://doi.org/10.1016/j.aim.2017.03.025</a>
  bibtex: '@article{Harris_Weich_2017, title={Wave front sets of reductive Lie group
    representations III}, volume={313}, DOI={<a href="https://doi.org/10.1016/j.aim.2017.03.025">10.1016/j.aim.2017.03.025</a>},
    journal={Advances in Mathematics}, publisher={Elsevier BV}, author={Harris, Benjamin
    and Weich, Tobias}, year={2017}, pages={176–236} }'
  chicago: 'Harris, Benjamin, and Tobias Weich. “Wave Front Sets of Reductive Lie
    Group Representations III.” <i>Advances in Mathematics</i> 313 (2017): 176–236.
    <a href="https://doi.org/10.1016/j.aim.2017.03.025">https://doi.org/10.1016/j.aim.2017.03.025</a>.'
  ieee: 'B. Harris and T. Weich, “Wave front sets of reductive Lie group representations
    III,” <i>Advances in Mathematics</i>, vol. 313, pp. 176–236, 2017, doi: <a href="https://doi.org/10.1016/j.aim.2017.03.025">10.1016/j.aim.2017.03.025</a>.'
  mla: Harris, Benjamin, and Tobias Weich. “Wave Front Sets of Reductive Lie Group
    Representations III.” <i>Advances in Mathematics</i>, vol. 313, Elsevier BV, 2017,
    pp. 176–236, doi:<a href="https://doi.org/10.1016/j.aim.2017.03.025">10.1016/j.aim.2017.03.025</a>.
  short: B. Harris, T. Weich, Advances in Mathematics 313 (2017) 176–236.
date_created: 2022-05-17T12:16:37Z
date_updated: 2022-05-19T10:15:00Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
doi: 10.1016/j.aim.2017.03.025
external_id:
  arxiv:
  - '1503.08431'
intvolume: '       313'
keyword:
- General Mathematics
language:
- iso: eng
page: 176-236
publication: Advances in Mathematics
publication_identifier:
  issn:
  - 0001-8708
publication_status: published
publisher: Elsevier BV
status: public
title: Wave front sets of reductive Lie group representations III
type: journal_article
user_id: '49178'
volume: 313
year: '2017'
...
---
_id: '34631'
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. Radial basis function approximation of noisy
    scattered data on the sphere. <i>Numerische Mathematik</i>. 2017;137(3):579-605.
    doi:<a href="https://doi.org/10.1007/s00211-017-0886-6">10.1007/s00211-017-0886-6</a>
  apa: Hesse, K., Sloan, I. H., &#38; Womersley, R. S. (2017). Radial basis function
    approximation of noisy scattered data on the sphere. <i>Numerische Mathematik</i>,
    <i>137</i>(3), 579–605. <a href="https://doi.org/10.1007/s00211-017-0886-6">https://doi.org/10.1007/s00211-017-0886-6</a>
  bibtex: '@article{Hesse_Sloan_Womersley_2017, title={Radial basis function approximation
    of noisy scattered data on the sphere}, volume={137}, DOI={<a href="https://doi.org/10.1007/s00211-017-0886-6">10.1007/s00211-017-0886-6</a>},
    number={3}, journal={Numerische Mathematik}, publisher={Springer Science and Business
    Media LLC}, author={Hesse, Kerstin and Sloan, Ian H. and Womersley, Robert S.},
    year={2017}, pages={579–605} }'
  chicago: 'Hesse, Kerstin, Ian H. Sloan, and Robert S. Womersley. “Radial Basis Function
    Approximation of Noisy Scattered Data on the Sphere.” <i>Numerische Mathematik</i>
    137, no. 3 (2017): 579–605. <a href="https://doi.org/10.1007/s00211-017-0886-6">https://doi.org/10.1007/s00211-017-0886-6</a>.'
  ieee: 'K. Hesse, I. H. Sloan, and R. S. Womersley, “Radial basis function approximation
    of noisy scattered data on the sphere,” <i>Numerische Mathematik</i>, vol. 137,
    no. 3, pp. 579–605, 2017, doi: <a href="https://doi.org/10.1007/s00211-017-0886-6">10.1007/s00211-017-0886-6</a>.'
  mla: Hesse, Kerstin, et al. “Radial Basis Function Approximation of Noisy Scattered
    Data on the Sphere.” <i>Numerische Mathematik</i>, vol. 137, no. 3, Springer Science
    and Business Media LLC, 2017, pp. 579–605, doi:<a href="https://doi.org/10.1007/s00211-017-0886-6">10.1007/s00211-017-0886-6</a>.
  short: K. Hesse, I.H. Sloan, R.S. Womersley, Numerische Mathematik 137 (2017) 579–605.
date_created: 2022-12-20T17:29:02Z
date_updated: 2023-01-09T08:24:20Z
department:
- _id: '10'
doi: 10.1007/s00211-017-0886-6
intvolume: '       137'
issue: '3'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 579-605
publication: Numerische Mathematik
publication_identifier:
  issn:
  - 0029-599X
  - 0945-3245
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Radial basis function approximation of noisy scattered data on the sphere
type: journal_article
user_id: '14931'
volume: 137
year: '2017'
...
---
_id: '31267'
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. Classical and quantum resonances for hyperbolic
    surfaces. <i>Mathematische Annalen</i>. 2017;370(3-4):1231-1275. doi:<a href="https://doi.org/10.1007/s00208-017-1576-5">10.1007/s00208-017-1576-5</a>
  apa: Guillarmou, C., Hilgert, J., &#38; Weich, T. (2017). Classical and quantum
    resonances for hyperbolic surfaces. <i>Mathematische Annalen</i>, <i>370</i>(3–4),
    1231–1275. <a href="https://doi.org/10.1007/s00208-017-1576-5">https://doi.org/10.1007/s00208-017-1576-5</a>
  bibtex: '@article{Guillarmou_Hilgert_Weich_2017, title={Classical and quantum resonances
    for hyperbolic surfaces}, volume={370}, DOI={<a href="https://doi.org/10.1007/s00208-017-1576-5">10.1007/s00208-017-1576-5</a>},
    number={3–4}, journal={Mathematische Annalen}, publisher={Springer Science and
    Business Media LLC}, author={Guillarmou, Colin and Hilgert, Joachim and Weich,
    Tobias}, year={2017}, pages={1231–1275} }'
  chicago: 'Guillarmou, Colin, Joachim Hilgert, and Tobias Weich. “Classical and Quantum
    Resonances for Hyperbolic Surfaces.” <i>Mathematische Annalen</i> 370, no. 3–4
    (2017): 1231–75. <a href="https://doi.org/10.1007/s00208-017-1576-5">https://doi.org/10.1007/s00208-017-1576-5</a>.'
  ieee: 'C. Guillarmou, J. Hilgert, and T. Weich, “Classical and quantum resonances
    for hyperbolic surfaces,” <i>Mathematische Annalen</i>, vol. 370, no. 3–4, pp.
    1231–1275, 2017, doi: <a href="https://doi.org/10.1007/s00208-017-1576-5">10.1007/s00208-017-1576-5</a>.'
  mla: Guillarmou, Colin, et al. “Classical and Quantum Resonances for Hyperbolic
    Surfaces.” <i>Mathematische Annalen</i>, vol. 370, no. 3–4, Springer Science and
    Business Media LLC, 2017, pp. 1231–75, doi:<a href="https://doi.org/10.1007/s00208-017-1576-5">10.1007/s00208-017-1576-5</a>.
  short: C. Guillarmou, J. Hilgert, T. Weich, Mathematische Annalen 370 (2017) 1231–1275.
date_created: 2022-05-17T12:09:43Z
date_updated: 2024-02-19T06:18:21Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
- _id: '91'
doi: 10.1007/s00208-017-1576-5
external_id:
  arxiv:
  - '1605.08801'
intvolume: '       370'
issue: 3-4
keyword:
- General Mathematics
language:
- iso: eng
page: 1231-1275
publication: Mathematische Annalen
publication_identifier:
  issn:
  - 0025-5831
  - 1432-1807
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Classical and quantum resonances for hyperbolic surfaces
type: journal_article
user_id: '49063'
volume: 370
year: '2017'
...
---
_id: '45941'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
- first_name: Buyang
  full_name: Li, Buyang
  last_name: Li
- first_name: Christian
  full_name: Lubich, Christian
  last_name: Lubich
- first_name: Christian A.
  full_name: Power Guerra, Christian A.
  last_name: Power Guerra
citation:
  ama: Kovács B, Li B, Lubich C, Power Guerra CA. Convergence of finite elements on
    an evolving surface driven by diffusion on the surface. <i>Numerische Mathematik</i>.
    2017;137(3):643-689. doi:<a href="https://doi.org/10.1007/s00211-017-0888-4">10.1007/s00211-017-0888-4</a>
  apa: Kovács, B., Li, B., Lubich, C., &#38; Power Guerra, C. A. (2017). Convergence
    of finite elements on an evolving surface driven by diffusion on the surface.
    <i>Numerische Mathematik</i>, <i>137</i>(3), 643–689. <a href="https://doi.org/10.1007/s00211-017-0888-4">https://doi.org/10.1007/s00211-017-0888-4</a>
  bibtex: '@article{Kovács_Li_Lubich_Power Guerra_2017, title={Convergence of finite
    elements on an evolving surface driven by diffusion on the surface}, volume={137},
    DOI={<a href="https://doi.org/10.1007/s00211-017-0888-4">10.1007/s00211-017-0888-4</a>},
    number={3}, journal={Numerische Mathematik}, publisher={Springer Science and Business
    Media LLC}, author={Kovács, Balázs and Li, Buyang and Lubich, Christian and Power
    Guerra, Christian A.}, year={2017}, pages={643–689} }'
  chicago: 'Kovács, Balázs, Buyang Li, Christian Lubich, and Christian A. Power Guerra.
    “Convergence of Finite Elements on an Evolving Surface Driven by Diffusion on
    the Surface.” <i>Numerische Mathematik</i> 137, no. 3 (2017): 643–89. <a href="https://doi.org/10.1007/s00211-017-0888-4">https://doi.org/10.1007/s00211-017-0888-4</a>.'
  ieee: 'B. Kovács, B. Li, C. Lubich, and C. A. Power Guerra, “Convergence of finite
    elements on an evolving surface driven by diffusion on the surface,” <i>Numerische
    Mathematik</i>, vol. 137, no. 3, pp. 643–689, 2017, doi: <a href="https://doi.org/10.1007/s00211-017-0888-4">10.1007/s00211-017-0888-4</a>.'
  mla: Kovács, Balázs, et al. “Convergence of Finite Elements on an Evolving Surface
    Driven by Diffusion on the Surface.” <i>Numerische Mathematik</i>, vol. 137, no.
    3, Springer Science and Business Media LLC, 2017, pp. 643–89, doi:<a href="https://doi.org/10.1007/s00211-017-0888-4">10.1007/s00211-017-0888-4</a>.
  short: B. Kovács, B. Li, C. Lubich, C.A. Power Guerra, Numerische Mathematik 137
    (2017) 643–689.
date_created: 2023-07-10T11:38:48Z
date_updated: 2024-04-03T09:22:43Z
department:
- _id: '841'
doi: 10.1007/s00211-017-0888-4
intvolume: '       137'
issue: '3'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 643-689
publication: Numerische Mathematik
publication_identifier:
  issn:
  - 0029-599X
  - 0945-3245
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Convergence of finite elements on an evolving surface driven by diffusion on
  the surface
type: journal_article
user_id: '100441'
volume: 137
year: '2017'
...
---
_id: '45942'
author:
- 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: Kovács B, Lubich C. Stability and convergence of time discretizations of quasi-linear
    evolution equations of Kato type. <i>Numerische Mathematik</i>. 2017;138(2):365-388.
    doi:<a href="https://doi.org/10.1007/s00211-017-0909-3">10.1007/s00211-017-0909-3</a>
  apa: Kovács, B., &#38; Lubich, C. (2017). Stability and convergence of time discretizations
    of quasi-linear evolution equations of Kato type. <i>Numerische Mathematik</i>,
    <i>138</i>(2), 365–388. <a href="https://doi.org/10.1007/s00211-017-0909-3">https://doi.org/10.1007/s00211-017-0909-3</a>
  bibtex: '@article{Kovács_Lubich_2017, title={Stability and convergence of time discretizations
    of quasi-linear evolution equations of Kato type}, volume={138}, DOI={<a href="https://doi.org/10.1007/s00211-017-0909-3">10.1007/s00211-017-0909-3</a>},
    number={2}, journal={Numerische Mathematik}, publisher={Springer Science and Business
    Media LLC}, author={Kovács, Balázs and Lubich, Christian}, year={2017}, pages={365–388}
    }'
  chicago: 'Kovács, Balázs, and Christian Lubich. “Stability and Convergence of Time
    Discretizations of Quasi-Linear Evolution Equations of Kato Type.” <i>Numerische
    Mathematik</i> 138, no. 2 (2017): 365–88. <a href="https://doi.org/10.1007/s00211-017-0909-3">https://doi.org/10.1007/s00211-017-0909-3</a>.'
  ieee: 'B. Kovács and C. Lubich, “Stability and convergence of time discretizations
    of quasi-linear evolution equations of Kato type,” <i>Numerische Mathematik</i>,
    vol. 138, no. 2, pp. 365–388, 2017, doi: <a href="https://doi.org/10.1007/s00211-017-0909-3">10.1007/s00211-017-0909-3</a>.'
  mla: Kovács, Balázs, and Christian Lubich. “Stability and Convergence of Time Discretizations
    of Quasi-Linear Evolution Equations of Kato Type.” <i>Numerische Mathematik</i>,
    vol. 138, no. 2, Springer Science and Business Media LLC, 2017, pp. 365–88, doi:<a
    href="https://doi.org/10.1007/s00211-017-0909-3">10.1007/s00211-017-0909-3</a>.
  short: B. Kovács, C. Lubich, Numerische Mathematik 138 (2017) 365–388.
date_created: 2023-07-10T11:39:05Z
date_updated: 2024-04-03T09:22:34Z
department:
- _id: '841'
doi: 10.1007/s00211-017-0909-3
intvolume: '       138'
issue: '2'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 365-388
publication: Numerische Mathematik
publication_identifier:
  issn:
  - 0029-599X
  - 0945-3245
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Stability and convergence of time discretizations of quasi-linear evolution
  equations of Kato type
type: journal_article
user_id: '100441'
volume: 138
year: '2017'
...
---
_id: '45940'
author:
- 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: Kovács B, Lubich C. Stable and convergent fully discrete interior–exterior
    coupling of Maxwell’s equations. <i>Numerische Mathematik</i>. 2017;137(1):91-117.
    doi:<a href="https://doi.org/10.1007/s00211-017-0868-8">10.1007/s00211-017-0868-8</a>
  apa: Kovács, B., &#38; Lubich, C. (2017). Stable and convergent fully discrete interior–exterior
    coupling of Maxwell’s equations. <i>Numerische Mathematik</i>, <i>137</i>(1),
    91–117. <a href="https://doi.org/10.1007/s00211-017-0868-8">https://doi.org/10.1007/s00211-017-0868-8</a>
  bibtex: '@article{Kovács_Lubich_2017, title={Stable and convergent fully discrete
    interior–exterior coupling of Maxwell’s equations}, volume={137}, DOI={<a href="https://doi.org/10.1007/s00211-017-0868-8">10.1007/s00211-017-0868-8</a>},
    number={1}, journal={Numerische Mathematik}, publisher={Springer Science and Business
    Media LLC}, author={Kovács, Balázs and Lubich, Christian}, year={2017}, pages={91–117}
    }'
  chicago: 'Kovács, Balázs, and Christian Lubich. “Stable and Convergent Fully Discrete
    Interior–Exterior Coupling of Maxwell’s Equations.” <i>Numerische Mathematik</i>
    137, no. 1 (2017): 91–117. <a href="https://doi.org/10.1007/s00211-017-0868-8">https://doi.org/10.1007/s00211-017-0868-8</a>.'
  ieee: 'B. Kovács and C. Lubich, “Stable and convergent fully discrete interior–exterior
    coupling of Maxwell’s equations,” <i>Numerische Mathematik</i>, vol. 137, no.
    1, pp. 91–117, 2017, doi: <a href="https://doi.org/10.1007/s00211-017-0868-8">10.1007/s00211-017-0868-8</a>.'
  mla: Kovács, Balázs, and Christian Lubich. “Stable and Convergent Fully Discrete
    Interior–Exterior Coupling of Maxwell’s Equations.” <i>Numerische Mathematik</i>,
    vol. 137, no. 1, Springer Science and Business Media LLC, 2017, pp. 91–117, doi:<a
    href="https://doi.org/10.1007/s00211-017-0868-8">10.1007/s00211-017-0868-8</a>.
  short: B. Kovács, C. Lubich, Numerische Mathematik 137 (2017) 91–117.
date_created: 2023-07-10T11:38:34Z
date_updated: 2024-04-03T09:22:51Z
department:
- _id: '841'
doi: 10.1007/s00211-017-0868-8
intvolume: '       137'
issue: '1'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 91-117
publication: Numerische Mathematik
publication_identifier:
  issn:
  - 0029-599X
  - 0945-3245
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s
  equations
type: journal_article
user_id: '100441'
volume: 137
year: '2017'
...
---
_id: '45946'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
- first_name: Christian Andreas
  full_name: Power Guerra, Christian Andreas
  last_name: Power Guerra
citation:
  ama: Kovács B, Power Guerra CA. Maximum norm stability and error estimates for the
    evolving surface finite element method. <i>Numerical Methods for Partial Differential
    Equations</i>. 2017;34(2):518-554. doi:<a href="https://doi.org/10.1002/num.22212">10.1002/num.22212</a>
  apa: Kovács, B., &#38; Power Guerra, C. A. (2017). Maximum norm stability and error
    estimates for the evolving surface finite element method. <i>Numerical Methods
    for Partial Differential Equations</i>, <i>34</i>(2), 518–554. <a href="https://doi.org/10.1002/num.22212">https://doi.org/10.1002/num.22212</a>
  bibtex: '@article{Kovács_Power Guerra_2017, title={Maximum norm stability and error
    estimates for the evolving surface finite element method}, volume={34}, DOI={<a
    href="https://doi.org/10.1002/num.22212">10.1002/num.22212</a>}, number={2}, journal={Numerical
    Methods for Partial Differential Equations}, publisher={Wiley}, author={Kovács,
    Balázs and Power Guerra, Christian Andreas}, year={2017}, pages={518–554} }'
  chicago: 'Kovács, Balázs, and Christian Andreas Power Guerra. “Maximum Norm Stability
    and Error Estimates for the Evolving Surface Finite Element Method.” <i>Numerical
    Methods for Partial Differential Equations</i> 34, no. 2 (2017): 518–54. <a href="https://doi.org/10.1002/num.22212">https://doi.org/10.1002/num.22212</a>.'
  ieee: 'B. Kovács and C. A. Power Guerra, “Maximum norm stability and error estimates
    for the evolving surface finite element method,” <i>Numerical Methods for Partial
    Differential Equations</i>, vol. 34, no. 2, pp. 518–554, 2017, doi: <a href="https://doi.org/10.1002/num.22212">10.1002/num.22212</a>.'
  mla: Kovács, Balázs, and Christian Andreas Power Guerra. “Maximum Norm Stability
    and Error Estimates for the Evolving Surface Finite Element Method.” <i>Numerical
    Methods for Partial Differential Equations</i>, vol. 34, no. 2, Wiley, 2017, pp.
    518–54, doi:<a href="https://doi.org/10.1002/num.22212">10.1002/num.22212</a>.
  short: B. Kovács, C.A. Power Guerra, Numerical Methods for Partial Differential
    Equations 34 (2017) 518–554.
date_created: 2023-07-10T11:40:24Z
date_updated: 2024-04-03T09:22:00Z
department:
- _id: '841'
doi: 10.1002/num.22212
intvolume: '        34'
issue: '2'
keyword:
- Applied Mathematics
- Computational Mathematics
- Numerical Analysis
- Analysis
language:
- iso: eng
page: 518-554
publication: Numerical Methods for Partial Differential Equations
publication_identifier:
  issn:
  - 0749-159X
publication_status: published
publisher: Wiley
status: public
title: Maximum norm stability and error estimates for the evolving surface finite
  element method
type: journal_article
user_id: '100441'
volume: 34
year: '2017'
...
---
_id: '45943'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
citation:
  ama: Kovács B. High-order evolving surface finite element method for parabolic problems
    on evolving surfaces. <i>IMA Journal of Numerical Analysis</i>. 2017;38(1):430-459.
    doi:<a href="https://doi.org/10.1093/imanum/drx013">10.1093/imanum/drx013</a>
  apa: Kovács, B. (2017). High-order evolving surface finite element method for parabolic
    problems on evolving surfaces. <i>IMA Journal of Numerical Analysis</i>, <i>38</i>(1),
    430–459. <a href="https://doi.org/10.1093/imanum/drx013">https://doi.org/10.1093/imanum/drx013</a>
  bibtex: '@article{Kovács_2017, title={High-order evolving surface finite element
    method for parabolic problems on evolving surfaces}, volume={38}, DOI={<a href="https://doi.org/10.1093/imanum/drx013">10.1093/imanum/drx013</a>},
    number={1}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University
    Press (OUP)}, author={Kovács, Balázs}, year={2017}, pages={430–459} }'
  chicago: 'Kovács, Balázs. “High-Order Evolving Surface Finite Element Method for
    Parabolic Problems on Evolving Surfaces.” <i>IMA Journal of Numerical Analysis</i>
    38, no. 1 (2017): 430–59. <a href="https://doi.org/10.1093/imanum/drx013">https://doi.org/10.1093/imanum/drx013</a>.'
  ieee: 'B. Kovács, “High-order evolving surface finite element method for parabolic
    problems on evolving surfaces,” <i>IMA Journal of Numerical Analysis</i>, vol.
    38, no. 1, pp. 430–459, 2017, doi: <a href="https://doi.org/10.1093/imanum/drx013">10.1093/imanum/drx013</a>.'
  mla: Kovács, Balázs. “High-Order Evolving Surface Finite Element Method for Parabolic
    Problems on Evolving Surfaces.” <i>IMA Journal of Numerical Analysis</i>, vol.
    38, no. 1, Oxford University Press (OUP), 2017, pp. 430–59, doi:<a href="https://doi.org/10.1093/imanum/drx013">10.1093/imanum/drx013</a>.
  short: B. Kovács, IMA Journal of Numerical Analysis 38 (2017) 430–459.
date_created: 2023-07-10T11:39:23Z
date_updated: 2024-04-03T09:22:26Z
department:
- _id: '841'
doi: 10.1093/imanum/drx013
intvolume: '        38'
issue: '1'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
page: 430-459
publication: IMA Journal of Numerical Analysis
publication_identifier:
  issn:
  - 0272-4979
  - 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: High-order evolving surface finite element method for parabolic problems on
  evolving surfaces
type: journal_article
user_id: '100441'
volume: 38
year: '2017'
...