---
_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: '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: '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: '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: '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'
...
---
_id: '45945'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  last_name: Kovács
- 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: 2023-07-10T11:40:00Z
date_updated: 2024-04-03T09:22:09Z
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: '30259'
author:
- first_name: Eugen
  full_name: Wiens, Eugen
  id: '7888'
  last_name: Wiens
- first_name: Werner
  full_name: Homberg, Werner
  id: '233'
  last_name: Homberg
citation:
  ama: Wiens E, Homberg W. Internal Flow-Turning – a new approach for the manufacture
    of tailored tubes with a constant external diameter. <i>Procedia Engineering</i>.
    2017;207:1755-1760. doi:<a href="https://doi.org/10.1016/j.proeng.2017.10.934">10.1016/j.proeng.2017.10.934</a>
  apa: Wiens, E., &#38; Homberg, W. (2017). Internal Flow-Turning – a new approach
    for the manufacture of tailored tubes with a constant external diameter. <i>Procedia
    Engineering</i>, <i>207</i>, 1755–1760. <a href="https://doi.org/10.1016/j.proeng.2017.10.934">https://doi.org/10.1016/j.proeng.2017.10.934</a>
  bibtex: '@article{Wiens_Homberg_2017, title={Internal Flow-Turning – a new approach
    for the manufacture of tailored tubes with a constant external diameter}, volume={207},
    DOI={<a href="https://doi.org/10.1016/j.proeng.2017.10.934">10.1016/j.proeng.2017.10.934</a>},
    journal={Procedia Engineering}, publisher={Elsevier BV}, author={Wiens, Eugen
    and Homberg, Werner}, year={2017}, pages={1755–1760} }'
  chicago: 'Wiens, Eugen, and Werner Homberg. “Internal Flow-Turning – a New Approach
    for the Manufacture of Tailored Tubes with a Constant External Diameter.” <i>Procedia
    Engineering</i> 207 (2017): 1755–60. <a href="https://doi.org/10.1016/j.proeng.2017.10.934">https://doi.org/10.1016/j.proeng.2017.10.934</a>.'
  ieee: 'E. Wiens and W. Homberg, “Internal Flow-Turning – a new approach for the
    manufacture of tailored tubes with a constant external diameter,” <i>Procedia
    Engineering</i>, vol. 207, pp. 1755–1760, 2017, doi: <a href="https://doi.org/10.1016/j.proeng.2017.10.934">10.1016/j.proeng.2017.10.934</a>.'
  mla: Wiens, Eugen, and Werner Homberg. “Internal Flow-Turning – a New Approach for
    the Manufacture of Tailored Tubes with a Constant External Diameter.” <i>Procedia
    Engineering</i>, vol. 207, Elsevier BV, 2017, pp. 1755–60, doi:<a href="https://doi.org/10.1016/j.proeng.2017.10.934">10.1016/j.proeng.2017.10.934</a>.
  short: E. Wiens, W. Homberg, Procedia Engineering 207 (2017) 1755–1760.
date_created: 2022-03-11T08:42:21Z
date_updated: 2023-05-05T11:14:39Z
department:
- _id: '156'
doi: 10.1016/j.proeng.2017.10.934
intvolume: '       207'
keyword:
- Applied Mathematics
language:
- iso: eng
page: 1755-1760
publication: Procedia Engineering
publication_identifier:
  issn:
  - 1877-7058
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
status: public
title: Internal Flow-Turning – a new approach for the manufacture of tailored tubes
  with a constant external diameter
type: journal_article
user_id: '7888'
volume: 207
year: '2017'
...
---
_id: '34660'
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. On the weakly competitive case in a two-species
    chemotaxis model. <i>IMA Journal of Applied Mathematics</i>. 2016;81(5):860-876.
    doi:<a href="https://doi.org/10.1093/imamat/hxw036">10.1093/imamat/hxw036</a>
  apa: Black, T., Lankeit, J., &#38; Mizukami, M. (2016). On the weakly competitive
    case in a two-species chemotaxis model. <i>IMA Journal of Applied Mathematics</i>,
    <i>81</i>(5), 860–876. <a href="https://doi.org/10.1093/imamat/hxw036">https://doi.org/10.1093/imamat/hxw036</a>
  bibtex: '@article{Black_Lankeit_Mizukami_2016, title={On the weakly competitive
    case in a two-species chemotaxis model}, volume={81}, DOI={<a href="https://doi.org/10.1093/imamat/hxw036">10.1093/imamat/hxw036</a>},
    number={5}, journal={IMA Journal of Applied Mathematics}, publisher={Oxford University
    Press (OUP)}, author={Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki},
    year={2016}, pages={860–876} }'
  chicago: 'Black, Tobias, Johannes Lankeit, and Masaaki Mizukami. “On the Weakly
    Competitive Case in a Two-Species Chemotaxis Model.” <i>IMA Journal of Applied
    Mathematics</i> 81, no. 5 (2016): 860–76. <a href="https://doi.org/10.1093/imamat/hxw036">https://doi.org/10.1093/imamat/hxw036</a>.'
  ieee: 'T. Black, J. Lankeit, and M. Mizukami, “On the weakly competitive case in
    a two-species chemotaxis model,” <i>IMA Journal of Applied Mathematics</i>, vol.
    81, no. 5, pp. 860–876, 2016, doi: <a href="https://doi.org/10.1093/imamat/hxw036">10.1093/imamat/hxw036</a>.'
  mla: Black, Tobias, et al. “On the Weakly Competitive Case in a Two-Species Chemotaxis
    Model.” <i>IMA Journal of Applied Mathematics</i>, vol. 81, no. 5, Oxford University
    Press (OUP), 2016, pp. 860–76, doi:<a href="https://doi.org/10.1093/imamat/hxw036">10.1093/imamat/hxw036</a>.
  short: T. Black, J. Lankeit, M. Mizukami, IMA Journal of Applied Mathematics 81
    (2016) 860–876.
date_created: 2022-12-21T09:46:18Z
date_updated: 2022-12-21T10:05:33Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1093/imamat/hxw036
intvolume: '        81'
issue: '5'
keyword:
- Applied Mathematics
language:
- iso: eng
page: 860-876
publication: IMA Journal of Applied Mathematics
publication_identifier:
  issn:
  - 0272-4960
  - 1464-3634
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: On the weakly competitive case in a two-species chemotaxis model
type: journal_article
user_id: '23686'
volume: 81
year: '2016'
...
---
_id: '34662'
author:
- first_name: Tobias
  full_name: Black, Tobias
  id: '23686'
  last_name: Black
  orcid: 0000-0001-9963-0800
citation:
  ama: Black T. Boundedness in a Keller–Segel system with external signal production.
    <i>Journal of Mathematical Analysis and Applications</i>. 2016;446(1):436-455.
    doi:<a href="https://doi.org/10.1016/j.jmaa.2016.08.049">10.1016/j.jmaa.2016.08.049</a>
  apa: Black, T. (2016). Boundedness in a Keller–Segel system with external signal
    production. <i>Journal of Mathematical Analysis and Applications</i>, <i>446</i>(1),
    436–455. <a href="https://doi.org/10.1016/j.jmaa.2016.08.049">https://doi.org/10.1016/j.jmaa.2016.08.049</a>
  bibtex: '@article{Black_2016, title={Boundedness in a Keller–Segel system with external
    signal production}, volume={446}, DOI={<a href="https://doi.org/10.1016/j.jmaa.2016.08.049">10.1016/j.jmaa.2016.08.049</a>},
    number={1}, journal={Journal of Mathematical Analysis and Applications}, publisher={Elsevier
    BV}, author={Black, Tobias}, year={2016}, pages={436–455} }'
  chicago: 'Black, Tobias. “Boundedness in a Keller–Segel System with External Signal
    Production.” <i>Journal of Mathematical Analysis and Applications</i> 446, no.
    1 (2016): 436–55. <a href="https://doi.org/10.1016/j.jmaa.2016.08.049">https://doi.org/10.1016/j.jmaa.2016.08.049</a>.'
  ieee: 'T. Black, “Boundedness in a Keller–Segel system with external signal production,”
    <i>Journal of Mathematical Analysis and Applications</i>, vol. 446, no. 1, pp.
    436–455, 2016, doi: <a href="https://doi.org/10.1016/j.jmaa.2016.08.049">10.1016/j.jmaa.2016.08.049</a>.'
  mla: Black, Tobias. “Boundedness in a Keller–Segel System with External Signal Production.”
    <i>Journal of Mathematical Analysis and Applications</i>, vol. 446, no. 1, Elsevier
    BV, 2016, pp. 436–55, doi:<a href="https://doi.org/10.1016/j.jmaa.2016.08.049">10.1016/j.jmaa.2016.08.049</a>.
  short: T. Black, Journal of Mathematical Analysis and Applications 446 (2016) 436–455.
date_created: 2022-12-21T09:46:40Z
date_updated: 2022-12-21T10:05:39Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1016/j.jmaa.2016.08.049
intvolume: '       446'
issue: '1'
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
page: 436-455
publication: Journal of Mathematical Analysis and Applications
publication_identifier:
  issn:
  - 0022-247X
publication_status: published
publisher: Elsevier BV
status: public
title: Boundedness in a Keller–Segel system with external signal production
type: journal_article
user_id: '23686'
volume: 446
year: '2016'
...
---
_id: '34659'
author:
- first_name: Tobias
  full_name: Black, Tobias
  id: '23686'
  last_name: Black
  orcid: 0000-0001-9963-0800
citation:
  ama: Black T. Blow-up of weak solutions to a chemotaxis system under influence of
    an external chemoattractant. <i>Nonlinearity</i>. 2016;29(6):1865-1886. doi:<a
    href="https://doi.org/10.1088/0951-7715/29/6/1865">10.1088/0951-7715/29/6/1865</a>
  apa: Black, T. (2016). Blow-up of weak solutions to a chemotaxis system under influence
    of an external chemoattractant. <i>Nonlinearity</i>, <i>29</i>(6), 1865–1886.
    <a href="https://doi.org/10.1088/0951-7715/29/6/1865">https://doi.org/10.1088/0951-7715/29/6/1865</a>
  bibtex: '@article{Black_2016, title={Blow-up of weak solutions to a chemotaxis system
    under influence of an external chemoattractant}, volume={29}, DOI={<a href="https://doi.org/10.1088/0951-7715/29/6/1865">10.1088/0951-7715/29/6/1865</a>},
    number={6}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Black,
    Tobias}, year={2016}, pages={1865–1886} }'
  chicago: 'Black, Tobias. “Blow-up of Weak Solutions to a Chemotaxis System under
    Influence of an External Chemoattractant.” <i>Nonlinearity</i> 29, no. 6 (2016):
    1865–86. <a href="https://doi.org/10.1088/0951-7715/29/6/1865">https://doi.org/10.1088/0951-7715/29/6/1865</a>.'
  ieee: 'T. Black, “Blow-up of weak solutions to a chemotaxis system under influence
    of an external chemoattractant,” <i>Nonlinearity</i>, vol. 29, no. 6, pp. 1865–1886,
    2016, doi: <a href="https://doi.org/10.1088/0951-7715/29/6/1865">10.1088/0951-7715/29/6/1865</a>.'
  mla: Black, Tobias. “Blow-up of Weak Solutions to a Chemotaxis System under Influence
    of an External Chemoattractant.” <i>Nonlinearity</i>, vol. 29, no. 6, IOP Publishing,
    2016, pp. 1865–86, doi:<a href="https://doi.org/10.1088/0951-7715/29/6/1865">10.1088/0951-7715/29/6/1865</a>.
  short: T. Black, Nonlinearity 29 (2016) 1865–1886.
date_created: 2022-12-21T09:46:00Z
date_updated: 2022-12-21T10:05:45Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1088/0951-7715/29/6/1865
intvolume: '        29'
issue: '6'
keyword:
- Applied Mathematics
- General Physics and Astronomy
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 1865-1886
publication: Nonlinearity
publication_identifier:
  issn:
  - 0951-7715
  - 1361-6544
publication_status: published
publisher: IOP Publishing
status: public
title: Blow-up of weak solutions to a chemotaxis system under influence of an external
  chemoattractant
type: journal_article
user_id: '23686'
volume: 29
year: '2016'
...
---
_id: '34661'
author:
- first_name: Tobias
  full_name: Black, Tobias
  id: '23686'
  last_name: Black
  orcid: 0000-0001-9963-0800
citation:
  ama: 'Black T. Sublinear signal production in a two-dimensional Keller–Segel–Stokes
    system. <i>Nonlinear Analysis: Real World Applications</i>. 2016;31:593-609. doi:<a
    href="https://doi.org/10.1016/j.nonrwa.2016.03.008">10.1016/j.nonrwa.2016.03.008</a>'
  apa: 'Black, T. (2016). Sublinear signal production in a two-dimensional Keller–Segel–Stokes
    system. <i>Nonlinear Analysis: Real World Applications</i>, <i>31</i>, 593–609.
    <a href="https://doi.org/10.1016/j.nonrwa.2016.03.008">https://doi.org/10.1016/j.nonrwa.2016.03.008</a>'
  bibtex: '@article{Black_2016, title={Sublinear signal production in a two-dimensional
    Keller–Segel–Stokes system}, volume={31}, DOI={<a href="https://doi.org/10.1016/j.nonrwa.2016.03.008">10.1016/j.nonrwa.2016.03.008</a>},
    journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier BV},
    author={Black, Tobias}, year={2016}, pages={593–609} }'
  chicago: 'Black, Tobias. “Sublinear Signal Production in a Two-Dimensional Keller–Segel–Stokes
    System.” <i>Nonlinear Analysis: Real World Applications</i> 31 (2016): 593–609.
    <a href="https://doi.org/10.1016/j.nonrwa.2016.03.008">https://doi.org/10.1016/j.nonrwa.2016.03.008</a>.'
  ieee: 'T. Black, “Sublinear signal production in a two-dimensional Keller–Segel–Stokes
    system,” <i>Nonlinear Analysis: Real World Applications</i>, vol. 31, pp. 593–609,
    2016, doi: <a href="https://doi.org/10.1016/j.nonrwa.2016.03.008">10.1016/j.nonrwa.2016.03.008</a>.'
  mla: 'Black, Tobias. “Sublinear Signal Production in a Two-Dimensional Keller–Segel–Stokes
    System.” <i>Nonlinear Analysis: Real World Applications</i>, vol. 31, Elsevier
    BV, 2016, pp. 593–609, doi:<a href="https://doi.org/10.1016/j.nonrwa.2016.03.008">10.1016/j.nonrwa.2016.03.008</a>.'
  short: 'T. Black, Nonlinear Analysis: Real World Applications 31 (2016) 593–609.'
date_created: 2022-12-21T09:46:31Z
date_updated: 2022-12-21T10:05:52Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1016/j.nonrwa.2016.03.008
intvolume: '        31'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Economics
- Econometrics and Finance
- General Engineering
- General Medicine
- Analysis
language:
- iso: eng
page: 593-609
publication: 'Nonlinear Analysis: Real World Applications'
publication_identifier:
  issn:
  - 1468-1218
publication_status: published
publisher: Elsevier BV
status: public
title: Sublinear signal production in a two-dimensional Keller–Segel–Stokes system
type: journal_article
user_id: '23686'
volume: 31
year: '2016'
...
---
_id: '45944'
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. Higher order time discretizations with ALE finite
    elements for parabolic problems on evolving surfaces. <i>IMA Journal of Numerical
    Analysis</i>. 2016;38(1):460-494. doi:<a href="https://doi.org/10.1093/imanum/drw074">10.1093/imanum/drw074</a>
  apa: Kovács, B., &#38; Power Guerra, C. A. (2016). Higher order time discretizations
    with ALE finite elements for parabolic problems on evolving surfaces. <i>IMA Journal
    of Numerical Analysis</i>, <i>38</i>(1), 460–494. <a href="https://doi.org/10.1093/imanum/drw074">https://doi.org/10.1093/imanum/drw074</a>
  bibtex: '@article{Kovács_Power Guerra_2016, title={Higher order time discretizations
    with ALE finite elements for parabolic problems on evolving surfaces}, volume={38},
    DOI={<a href="https://doi.org/10.1093/imanum/drw074">10.1093/imanum/drw074</a>},
    number={1}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University
    Press (OUP)}, author={Kovács, Balázs and Power Guerra, Christian Andreas}, year={2016},
    pages={460–494} }'
  chicago: 'Kovács, Balázs, and Christian Andreas Power Guerra. “Higher Order Time
    Discretizations with ALE Finite Elements for Parabolic Problems on Evolving Surfaces.”
    <i>IMA Journal of Numerical Analysis</i> 38, no. 1 (2016): 460–94. <a href="https://doi.org/10.1093/imanum/drw074">https://doi.org/10.1093/imanum/drw074</a>.'
  ieee: 'B. Kovács and C. A. Power Guerra, “Higher order time discretizations with
    ALE finite elements for parabolic problems on evolving surfaces,” <i>IMA Journal
    of Numerical Analysis</i>, vol. 38, no. 1, pp. 460–494, 2016, doi: <a href="https://doi.org/10.1093/imanum/drw074">10.1093/imanum/drw074</a>.'
  mla: Kovács, Balázs, and Christian Andreas Power Guerra. “Higher Order Time Discretizations
    with ALE Finite Elements for Parabolic Problems on Evolving Surfaces.” <i>IMA
    Journal of Numerical Analysis</i>, vol. 38, no. 1, Oxford University Press (OUP),
    2016, pp. 460–94, doi:<a href="https://doi.org/10.1093/imanum/drw074">10.1093/imanum/drw074</a>.
  short: B. Kovács, C.A. Power Guerra, IMA Journal of Numerical Analysis 38 (2016)
    460–494.
date_created: 2023-07-10T11:39:39Z
date_updated: 2024-04-03T09:22:19Z
department:
- _id: '841'
doi: 10.1093/imanum/drw074
intvolume: '        38'
issue: '1'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
page: 460-494
publication: IMA Journal of Numerical Analysis
publication_identifier:
  issn:
  - 0272-4979
  - 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Higher order time discretizations with ALE finite elements for parabolic problems
  on evolving surfaces
type: journal_article
user_id: '100441'
volume: 38
year: '2016'
...
---
_id: '45936'
alternative_title:
- Error Analysis for Quasilinear Problems on Evolving Surfaces
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. Error analysis for full discretizations of quasilinear
    parabolic problems on evolving surfaces. <i>Numerical Methods for Partial Differential
    Equations</i>. 2016;32(4):1200-1231. doi:<a href="https://doi.org/10.1002/num.22047">10.1002/num.22047</a>
  apa: Kovács, B., &#38; Power Guerra, C. A. (2016). Error analysis for full discretizations
    of quasilinear parabolic problems on evolving surfaces. <i>Numerical Methods for
    Partial Differential Equations</i>, <i>32</i>(4), 1200–1231. <a href="https://doi.org/10.1002/num.22047">https://doi.org/10.1002/num.22047</a>
  bibtex: '@article{Kovács_Power Guerra_2016, title={Error analysis for full discretizations
    of quasilinear parabolic problems on evolving surfaces}, volume={32}, DOI={<a
    href="https://doi.org/10.1002/num.22047">10.1002/num.22047</a>}, number={4}, journal={Numerical
    Methods for Partial Differential Equations}, publisher={Wiley}, author={Kovács,
    Balázs and Power Guerra, Christian Andreas}, year={2016}, pages={1200–1231} }'
  chicago: 'Kovács, Balázs, and Christian Andreas Power Guerra. “Error Analysis for
    Full Discretizations of Quasilinear Parabolic Problems on Evolving Surfaces.”
    <i>Numerical Methods for Partial Differential Equations</i> 32, no. 4 (2016):
    1200–1231. <a href="https://doi.org/10.1002/num.22047">https://doi.org/10.1002/num.22047</a>.'
  ieee: 'B. Kovács and C. A. Power Guerra, “Error analysis for full discretizations
    of quasilinear parabolic problems on evolving surfaces,” <i>Numerical Methods
    for Partial Differential Equations</i>, vol. 32, no. 4, pp. 1200–1231, 2016, doi:
    <a href="https://doi.org/10.1002/num.22047">10.1002/num.22047</a>.'
  mla: Kovács, Balázs, and Christian Andreas Power Guerra. “Error Analysis for Full
    Discretizations of Quasilinear Parabolic Problems on Evolving Surfaces.” <i>Numerical
    Methods for Partial Differential Equations</i>, vol. 32, no. 4, Wiley, 2016, pp.
    1200–31, doi:<a href="https://doi.org/10.1002/num.22047">10.1002/num.22047</a>.
  short: B. Kovács, C.A. Power Guerra, Numerical Methods for Partial Differential
    Equations 32 (2016) 1200–1231.
date_created: 2023-07-10T11:35:34Z
date_updated: 2024-04-03T09:23:28Z
department:
- _id: '841'
doi: 10.1002/num.22047
intvolume: '        32'
issue: '4'
keyword:
- Applied Mathematics
- Computational Mathematics
- Numerical Analysis
- Analysis
language:
- iso: eng
page: 1200-1231
publication: Numerical Methods for Partial Differential Equations
publication_identifier:
  issn:
  - 0749-159X
publication_status: published
publisher: Wiley
status: public
title: Error analysis for full discretizations of quasilinear parabolic problems on
  evolving surfaces
type: journal_article
user_id: '100441'
volume: 32
year: '2016'
...
---
_id: '45939'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
- first_name: Buyang
  full_name: Li, Buyang
  last_name: Li
- first_name: Christian
  full_name: Lubich, Christian
  last_name: Lubich
citation:
  ama: Kovács B, Li B, Lubich C. A-Stable Time Discretizations Preserve Maximal Parabolic
    Regularity. <i>SIAM Journal on Numerical Analysis</i>. 2016;54(6):3600-3624. doi:<a
    href="https://doi.org/10.1137/15m1040918">10.1137/15m1040918</a>
  apa: Kovács, B., Li, B., &#38; Lubich, C. (2016). A-Stable Time Discretizations
    Preserve Maximal Parabolic Regularity. <i>SIAM Journal on Numerical Analysis</i>,
    <i>54</i>(6), 3600–3624. <a href="https://doi.org/10.1137/15m1040918">https://doi.org/10.1137/15m1040918</a>
  bibtex: '@article{Kovács_Li_Lubich_2016, title={A-Stable Time Discretizations Preserve
    Maximal Parabolic Regularity}, volume={54}, DOI={<a href="https://doi.org/10.1137/15m1040918">10.1137/15m1040918</a>},
    number={6}, journal={SIAM Journal on Numerical Analysis}, publisher={Society for
    Industrial &#38; Applied Mathematics (SIAM)}, author={Kovács, Balázs and Li, Buyang
    and Lubich, Christian}, year={2016}, pages={3600–3624} }'
  chicago: 'Kovács, Balázs, Buyang Li, and Christian Lubich. “A-Stable Time Discretizations
    Preserve Maximal Parabolic Regularity.” <i>SIAM Journal on Numerical Analysis</i>
    54, no. 6 (2016): 3600–3624. <a href="https://doi.org/10.1137/15m1040918">https://doi.org/10.1137/15m1040918</a>.'
  ieee: 'B. Kovács, B. Li, and C. Lubich, “A-Stable Time Discretizations Preserve
    Maximal Parabolic Regularity,” <i>SIAM Journal on Numerical Analysis</i>, vol.
    54, no. 6, pp. 3600–3624, 2016, doi: <a href="https://doi.org/10.1137/15m1040918">10.1137/15m1040918</a>.'
  mla: Kovács, Balázs, et al. “A-Stable Time Discretizations Preserve Maximal Parabolic
    Regularity.” <i>SIAM Journal on Numerical Analysis</i>, vol. 54, no. 6, Society
    for Industrial &#38; Applied Mathematics (SIAM), 2016, pp. 3600–24, doi:<a href="https://doi.org/10.1137/15m1040918">10.1137/15m1040918</a>.
  short: B. Kovács, B. Li, C. Lubich, SIAM Journal on Numerical Analysis 54 (2016)
    3600–3624.
date_created: 2023-07-10T11:38:15Z
date_updated: 2024-04-03T09:23:00Z
department:
- _id: '841'
doi: 10.1137/15m1040918
intvolume: '        54'
issue: '6'
keyword:
- Numerical Analysis
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 3600-3624
publication: SIAM Journal on Numerical Analysis
publication_identifier:
  issn:
  - 0036-1429
  - 1095-7170
publication_status: published
publisher: Society for Industrial & Applied Mathematics (SIAM)
status: public
title: A-Stable Time Discretizations Preserve Maximal Parabolic Regularity
type: journal_article
user_id: '100441'
volume: 54
year: '2016'
...
---
_id: '45937'
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. Numerical analysis of parabolic problems with dynamic boundary
    conditions. <i>IMA Journal of Numerical Analysis</i>. 2016;37(1):1-39. doi:<a
    href="https://doi.org/10.1093/imanum/drw015">10.1093/imanum/drw015</a>
  apa: Kovács, B., &#38; Lubich, C. (2016). Numerical analysis of parabolic problems
    with dynamic boundary conditions. <i>IMA Journal of Numerical Analysis</i>, <i>37</i>(1),
    1–39. <a href="https://doi.org/10.1093/imanum/drw015">https://doi.org/10.1093/imanum/drw015</a>
  bibtex: '@article{Kovács_Lubich_2016, title={Numerical analysis of parabolic problems
    with dynamic boundary conditions}, volume={37}, DOI={<a href="https://doi.org/10.1093/imanum/drw015">10.1093/imanum/drw015</a>},
    number={1}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University
    Press (OUP)}, author={Kovács, Balázs and Lubich, Christian}, year={2016}, pages={1–39}
    }'
  chicago: 'Kovács, Balázs, and Christian Lubich. “Numerical Analysis of Parabolic
    Problems with Dynamic Boundary Conditions.” <i>IMA Journal of Numerical Analysis</i>
    37, no. 1 (2016): 1–39. <a href="https://doi.org/10.1093/imanum/drw015">https://doi.org/10.1093/imanum/drw015</a>.'
  ieee: 'B. Kovács and C. Lubich, “Numerical analysis of parabolic problems with dynamic
    boundary conditions,” <i>IMA Journal of Numerical Analysis</i>, vol. 37, no. 1,
    pp. 1–39, 2016, doi: <a href="https://doi.org/10.1093/imanum/drw015">10.1093/imanum/drw015</a>.'
  mla: Kovács, Balázs, and Christian Lubich. “Numerical Analysis of Parabolic Problems
    with Dynamic Boundary Conditions.” <i>IMA Journal of Numerical Analysis</i>, vol.
    37, no. 1, Oxford University Press (OUP), 2016, pp. 1–39, doi:<a href="https://doi.org/10.1093/imanum/drw015">10.1093/imanum/drw015</a>.
  short: B. Kovács, C. Lubich, IMA Journal of Numerical Analysis 37 (2016) 1–39.
date_created: 2023-07-10T11:35:53Z
date_updated: 2024-04-03T09:23:16Z
department:
- _id: '841'
doi: 10.1093/imanum/drw015
intvolume: '        37'
issue: '1'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
page: 1-39
publication: IMA Journal of Numerical Analysis
publication_identifier:
  issn:
  - 0272-4979
  - 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Numerical analysis of parabolic problems with dynamic boundary conditions
type: journal_article
user_id: '100441'
volume: 37
year: '2016'
...
---
_id: '37663'
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. A multivariate version of the disk convolution. <i>Journal
    of Mathematical Analysis and Applications</i>. 2016;435(1):701-717. doi:<a href="https://doi.org/10.1016/j.jmaa.2015.10.062">10.1016/j.jmaa.2015.10.062</a>
  apa: Rösler, M., &#38; Voit, M. (2016). A multivariate version of the disk convolution.
    <i>Journal of Mathematical Analysis and Applications</i>, <i>435</i>(1), 701–717.
    <a href="https://doi.org/10.1016/j.jmaa.2015.10.062">https://doi.org/10.1016/j.jmaa.2015.10.062</a>
  bibtex: '@article{Rösler_Voit_2016, title={A multivariate version of the disk convolution},
    volume={435}, DOI={<a href="https://doi.org/10.1016/j.jmaa.2015.10.062">10.1016/j.jmaa.2015.10.062</a>},
    number={1}, journal={Journal of Mathematical Analysis and Applications}, publisher={Elsevier
    BV}, author={Rösler, Margit and Voit, Michael}, year={2016}, pages={701–717} }'
  chicago: 'Rösler, Margit, and Michael Voit. “A Multivariate Version of the Disk
    Convolution.” <i>Journal of Mathematical Analysis and Applications</i> 435, no.
    1 (2016): 701–17. <a href="https://doi.org/10.1016/j.jmaa.2015.10.062">https://doi.org/10.1016/j.jmaa.2015.10.062</a>.'
  ieee: 'M. Rösler and M. Voit, “A multivariate version of the disk convolution,”
    <i>Journal of Mathematical Analysis and Applications</i>, vol. 435, no. 1, pp.
    701–717, 2016, doi: <a href="https://doi.org/10.1016/j.jmaa.2015.10.062">10.1016/j.jmaa.2015.10.062</a>.'
  mla: Rösler, Margit, and Michael Voit. “A Multivariate Version of the Disk Convolution.”
    <i>Journal of Mathematical Analysis and Applications</i>, vol. 435, no. 1, Elsevier
    BV, 2016, pp. 701–17, doi:<a href="https://doi.org/10.1016/j.jmaa.2015.10.062">10.1016/j.jmaa.2015.10.062</a>.
  short: M. Rösler, M. Voit, Journal of Mathematical Analysis and Applications 435
    (2016) 701–717.
date_created: 2023-01-20T09:26:43Z
date_updated: 2023-01-24T22:15:56Z
department:
- _id: '555'
doi: 10.1016/j.jmaa.2015.10.062
intvolume: '       435'
issue: '1'
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
page: 701-717
publication: Journal of Mathematical Analysis and Applications
publication_identifier:
  issn:
  - 0022-247X
publication_status: published
publisher: Elsevier BV
status: public
title: A multivariate version of the disk convolution
type: journal_article
user_id: '37390'
volume: 435
year: '2016'
...
