---
_id: '34633'
article_number: '114118'
author:
- first_name: Kerstin
  full_name: Hesse, Kerstin
  id: '42608'
  last_name: Hesse
  orcid: 0000-0003-4125-1941
- first_name: Quoc Thong
  full_name: Le Gia, Quoc Thong
  last_name: Le Gia
citation:
  ama: Hesse K, Le Gia QT. L_2 error estimates for polynomial discrete penalized least-squares
    approximation on the sphere from noisy data. <i>Journal of Computational and Applied
    Mathematics</i>. 2022;408. doi:<a href="https://doi.org/10.1016/j.cam.2022.114118">10.1016/j.cam.2022.114118</a>
  apa: Hesse, K., &#38; Le Gia, Q. T. (2022). L_2 error estimates for polynomial discrete
    penalized least-squares approximation on the sphere from noisy data. <i>Journal
    of Computational and Applied Mathematics</i>, <i>408</i>, Article 114118. <a href="https://doi.org/10.1016/j.cam.2022.114118">https://doi.org/10.1016/j.cam.2022.114118</a>
  bibtex: '@article{Hesse_Le Gia_2022, title={L_2 error estimates for polynomial discrete
    penalized least-squares approximation on the sphere from noisy data}, volume={408},
    DOI={<a href="https://doi.org/10.1016/j.cam.2022.114118">10.1016/j.cam.2022.114118</a>},
    number={114118}, journal={Journal of Computational and Applied Mathematics}, publisher={Elsevier
    BV}, author={Hesse, Kerstin and Le Gia, Quoc Thong}, year={2022} }'
  chicago: Hesse, Kerstin, and Quoc Thong Le Gia. “L_2 Error Estimates for Polynomial
    Discrete Penalized Least-Squares Approximation on the Sphere from Noisy Data.”
    <i>Journal of Computational and Applied Mathematics</i> 408 (2022). <a href="https://doi.org/10.1016/j.cam.2022.114118">https://doi.org/10.1016/j.cam.2022.114118</a>.
  ieee: 'K. Hesse and Q. T. Le Gia, “L_2 error estimates for polynomial discrete penalized
    least-squares approximation on the sphere from noisy data,” <i>Journal of Computational
    and Applied Mathematics</i>, vol. 408, Art. no. 114118, 2022, doi: <a href="https://doi.org/10.1016/j.cam.2022.114118">10.1016/j.cam.2022.114118</a>.'
  mla: Hesse, Kerstin, and Quoc Thong Le Gia. “L_2 Error Estimates for Polynomial
    Discrete Penalized Least-Squares Approximation on the Sphere from Noisy Data.”
    <i>Journal of Computational and Applied Mathematics</i>, vol. 408, 114118, Elsevier
    BV, 2022, doi:<a href="https://doi.org/10.1016/j.cam.2022.114118">10.1016/j.cam.2022.114118</a>.
  short: K. Hesse, Q.T. Le Gia, Journal of Computational and Applied Mathematics 408
    (2022).
date_created: 2022-12-20T17:37:16Z
date_updated: 2023-01-09T08:23:56Z
department:
- _id: '10'
doi: 10.1016/j.cam.2022.114118
intvolume: '       408'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
publication: Journal of Computational and Applied Mathematics
publication_identifier:
  issn:
  - 0377-0427
publication_status: published
publisher: Elsevier BV
status: public
title: L_2 error estimates for polynomial discrete penalized least-squares approximation
  on the sphere from noisy data
type: journal_article
user_id: '14931'
volume: 408
year: '2022'
...
---
_id: '34629'
article_number: '113061'
author:
- first_name: Kerstin
  full_name: Hesse, Kerstin
  id: '42608'
  last_name: Hesse
  orcid: 0000-0003-4125-1941
- first_name: Ian H.
  full_name: Sloan, Ian H.
  last_name: Sloan
- first_name: Robert S.
  full_name: Womersley, Robert S.
  last_name: Womersley
citation:
  ama: Hesse K, Sloan IH, Womersley RS. Local RBF-based penalized least-squares approximation
    on the sphere with noisy scattered data. <i>Journal of Computational and Applied
    Mathematics</i>. 2021;382. doi:<a href="https://doi.org/10.1016/j.cam.2020.113061">10.1016/j.cam.2020.113061</a>
  apa: Hesse, K., Sloan, I. H., &#38; Womersley, R. S. (2021). Local RBF-based penalized
    least-squares approximation on the sphere with noisy scattered data. <i>Journal
    of Computational and Applied Mathematics</i>, <i>382</i>, Article 113061. <a href="https://doi.org/10.1016/j.cam.2020.113061">https://doi.org/10.1016/j.cam.2020.113061</a>
  bibtex: '@article{Hesse_Sloan_Womersley_2021, title={Local RBF-based penalized least-squares
    approximation on the sphere with noisy scattered data}, volume={382}, DOI={<a
    href="https://doi.org/10.1016/j.cam.2020.113061">10.1016/j.cam.2020.113061</a>},
    number={113061}, journal={Journal of Computational and Applied Mathematics}, publisher={Elsevier
    BV}, author={Hesse, Kerstin and Sloan, Ian H. and Womersley, Robert S.}, year={2021}
    }'
  chicago: Hesse, Kerstin, Ian H. Sloan, and Robert S. Womersley. “Local RBF-Based
    Penalized Least-Squares Approximation on the Sphere with Noisy Scattered Data.”
    <i>Journal of Computational and Applied Mathematics</i> 382 (2021). <a href="https://doi.org/10.1016/j.cam.2020.113061">https://doi.org/10.1016/j.cam.2020.113061</a>.
  ieee: 'K. Hesse, I. H. Sloan, and R. S. Womersley, “Local RBF-based penalized least-squares
    approximation on the sphere with noisy scattered data,” <i>Journal of Computational
    and Applied Mathematics</i>, vol. 382, Art. no. 113061, 2021, doi: <a href="https://doi.org/10.1016/j.cam.2020.113061">10.1016/j.cam.2020.113061</a>.'
  mla: Hesse, Kerstin, et al. “Local RBF-Based Penalized Least-Squares Approximation
    on the Sphere with Noisy Scattered Data.” <i>Journal of Computational and Applied
    Mathematics</i>, vol. 382, 113061, Elsevier BV, 2021, doi:<a href="https://doi.org/10.1016/j.cam.2020.113061">10.1016/j.cam.2020.113061</a>.
  short: K. Hesse, I.H. Sloan, R.S. Womersley, Journal of Computational and Applied
    Mathematics 382 (2021).
date_created: 2022-12-20T17:26:44Z
date_updated: 2024-04-03T11:04:23Z
department:
- _id: '10'
doi: 10.1016/j.cam.2020.113061
intvolume: '       382'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
publication: Journal of Computational and Applied Mathematics
publication_identifier:
  issn:
  - 0377-0427
publication_status: published
publisher: Elsevier BV
status: public
title: Local RBF-based penalized least-squares approximation on the sphere with noisy
  scattered data
type: journal_article
user_id: '49063'
volume: 382
year: '2021'
...
---
_id: '34632'
author:
- first_name: Kerstin
  full_name: Hesse, Kerstin
  id: '42608'
  last_name: Hesse
  orcid: 0000-0003-4125-1941
citation:
  ama: 'Hesse K. RBF-based penalized least-squares approximation of noisy scattered
    data on the sphere. In: Hickernell FJ, Kritzer P, eds. <i>Multivariate Algorithms
    and Information-Based Complexity</i>. De Gruyter; 2020:33-42.'
  apa: Hesse, K. (2020). RBF-based penalized least-squares approximation of noisy
    scattered data on the sphere. In F. J. Hickernell &#38; P. Kritzer (Eds.), <i>Multivariate
    Algorithms and Information-Based Complexity</i> (pp. 33–42). De Gruyter.
  bibtex: '@inbook{Hesse_2020, place={Berlin/Boston}, title={RBF-based penalized least-squares
    approximation of noisy scattered data on the sphere}, booktitle={Multivariate
    Algorithms and Information-Based Complexity}, publisher={De Gruyter}, author={Hesse,
    Kerstin}, editor={Hickernell, Fred J. and Kritzer, Peter}, year={2020}, pages={33–42}
    }'
  chicago: 'Hesse, Kerstin. “RBF-Based Penalized Least-Squares Approximation of Noisy
    Scattered Data on the Sphere.” In <i>Multivariate Algorithms and Information-Based
    Complexity</i>, edited by Fred J. Hickernell and Peter Kritzer, 33–42. Berlin/Boston:
    De Gruyter, 2020.'
  ieee: 'K. Hesse, “RBF-based penalized least-squares approximation of noisy scattered
    data on the sphere,” in <i>Multivariate Algorithms and Information-Based Complexity</i>,
    F. J. Hickernell and P. Kritzer, Eds. Berlin/Boston: De Gruyter, 2020, pp. 33–42.'
  mla: Hesse, Kerstin. “RBF-Based Penalized Least-Squares Approximation of Noisy Scattered
    Data on the Sphere.” <i>Multivariate Algorithms and Information-Based Complexity</i>,
    edited by Fred J. Hickernell and Peter Kritzer, De Gruyter, 2020, pp. 33–42.
  short: 'K. Hesse, in: F.J. Hickernell, P. Kritzer (Eds.), Multivariate Algorithms
    and Information-Based Complexity, De Gruyter, Berlin/Boston, 2020, pp. 33–42.'
date_created: 2022-12-20T17:34:38Z
date_updated: 2024-04-03T11:03:30Z
department:
- _id: '10'
editor:
- first_name: Fred J.
  full_name: Hickernell, Fred J.
  last_name: Hickernell
- first_name: Peter
  full_name: Kritzer, Peter
  last_name: Kritzer
language:
- iso: eng
page: '33-42 '
place: Berlin/Boston
publication: Multivariate Algorithms and Information-Based Complexity
publication_identifier:
  isbn:
  - '9783110633115'
publisher: De Gruyter
status: public
title: RBF-based penalized least-squares approximation of noisy scattered data on
  the sphere
type: book_chapter
user_id: '49063'
year: '2020'
...
---
_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: '54340'
author:
- first_name: Kerstin
  full_name: Hesse, Kerstin
  id: '42608'
  last_name: Hesse
  orcid: 0000-0003-4125-1941
citation:
  ama: 'Hesse K. Neugestaltung der “Höheren Mathematik A, B und C für Elektrotechniker”
    -- Nutzung der Lehrmaterialien durch Studierende. In: Paravicini W, Schnieder
    J, eds. <i>Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2015: Beiträge
    Zum Gleichnamigen Symposium Am 13. &#38; 14. November 2015 an Der Universität
    Zu Lübeck (Hochschulschriften Zur Mathematik-Didaktik) </i>. WTM-Verlag; 2016:86-102.'
  apa: 'Hesse, K. (2016). Neugestaltung der “Höheren Mathematik A, B und C für Elektrotechniker”
    -- Nutzung der Lehrmaterialien durch Studierende. In W. Paravicini &#38; J. Schnieder
    (Eds.), <i>Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2015: Beiträge
    zum gleichnamigen Symposium am 13. &#38; 14. November 2015 an der Universität
    zu Lübeck (Hochschulschriften zur Mathematik-Didaktik) </i> (pp. 86–102). WTM-Verlag.'
  bibtex: '@inproceedings{Hesse_2016, title={Neugestaltung der “Höheren Mathematik
    A, B und C für Elektrotechniker” -- Nutzung der Lehrmaterialien durch Studierende},
    booktitle={Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2015: Beiträge
    zum gleichnamigen Symposium am 13. &#38; 14. November 2015 an der Universität
    zu Lübeck (Hochschulschriften zur Mathematik-Didaktik) }, publisher={WTM-Verlag},
    author={Hesse, Kerstin}, editor={Paravicini, Walther and Schnieder, Jörn}, year={2016},
    pages={86–102} }'
  chicago: 'Hesse, Kerstin. “Neugestaltung Der ‘Höheren Mathematik A, B Und C Für
    Elektrotechniker’ -- Nutzung Der Lehrmaterialien Durch Studierende.” In <i>Hanse-Kolloquium
    Zur Hochschuldidaktik Der Mathematik 2015: Beiträge Zum Gleichnamigen Symposium
    Am 13. &#38; 14. November 2015 an Der Universität Zu Lübeck (Hochschulschriften
    Zur Mathematik-Didaktik) </i>, edited by Walther Paravicini and Jörn Schnieder,
    86–102. WTM-Verlag, 2016.'
  ieee: 'K. Hesse, “Neugestaltung der ‘Höheren Mathematik A, B und C für Elektrotechniker’
    -- Nutzung der Lehrmaterialien durch Studierende,” in <i>Hanse-Kolloquium zur
    Hochschuldidaktik der Mathematik 2015: Beiträge zum gleichnamigen Symposium am
    13. &#38; 14. November 2015 an der Universität zu Lübeck (Hochschulschriften zur
    Mathematik-Didaktik) </i>, 2016, pp. 86–102.'
  mla: 'Hesse, Kerstin. “Neugestaltung Der ‘Höheren Mathematik A, B Und C Für Elektrotechniker’
    -- Nutzung Der Lehrmaterialien Durch Studierende.” <i>Hanse-Kolloquium Zur Hochschuldidaktik
    Der Mathematik 2015: Beiträge Zum Gleichnamigen Symposium Am 13. &#38; 14. November
    2015 an Der Universität Zu Lübeck (Hochschulschriften Zur Mathematik-Didaktik)
    </i>, edited by Walther Paravicini and Jörn Schnieder, WTM-Verlag, 2016, pp. 86–102.'
  short: 'K. Hesse, in: W. Paravicini, J. Schnieder (Eds.), Hanse-Kolloquium Zur Hochschuldidaktik
    Der Mathematik 2015: Beiträge Zum Gleichnamigen Symposium Am 13. &#38; 14. November
    2015 an Der Universität Zu Lübeck (Hochschulschriften Zur Mathematik-Didaktik)
    , WTM-Verlag, 2016, pp. 86–102.'
date_created: 2024-05-18T01:13:13Z
date_updated: 2024-05-20T06:34:09Z
department:
- _id: '10'
editor:
- first_name: Walther
  full_name: Paravicini, Walther
  last_name: Paravicini
- first_name: Jörn
  full_name: Schnieder, Jörn
  last_name: Schnieder
language:
- iso: eng
page: 86-102
publication: 'Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2015: Beiträge
  zum gleichnamigen Symposium am 13. & 14. November 2015 an der Universität zu Lübeck
  (Hochschulschriften zur Mathematik-Didaktik) '
publication_status: published
publisher: WTM-Verlag
status: public
title: Neugestaltung der "Höheren Mathematik A, B und C für Elektrotechniker" -- Nutzung
  der Lehrmaterialien durch Studierende
type: conference
user_id: '71124'
year: '2016'
...
---
_id: '54341'
author:
- first_name: Kerstin
  full_name: Hesse, Kerstin
  id: '42608'
  last_name: Hesse
  orcid: 0000-0003-4125-1941
citation:
  ama: 'Hesse K. Online Tests for Evaluating Learning Success. In: <i>Extended Abstract
    Der Khdm Conference 2015, 8 Seiten. (Dieser Extended Abstract Ist Online Publiziert
    Als Khdm-Report Zur Khdm Conference 2015.)</i>. ; 2015.'
  apa: Hesse, K. (2015). Online Tests for Evaluating Learning Success. <i>Extended
    Abstract Der Khdm Conference 2015, 8 Seiten. (Dieser Extended Abstract Ist Online
    Publiziert Als Khdm-Report Zur Khdm Conference 2015.)</i>.
  bibtex: '@inproceedings{Hesse_2015, title={Online Tests for Evaluating Learning
    Success}, booktitle={Extended Abstract der khdm Conference 2015, 8 Seiten. (Dieser
    Extended Abstract ist online publiziert als khdm-Report zur khdm Conference 2015.)},
    author={Hesse, Kerstin}, year={2015} }'
  chicago: Hesse, Kerstin. “Online Tests for Evaluating Learning Success.” In <i>Extended
    Abstract Der Khdm Conference 2015, 8 Seiten. (Dieser Extended Abstract Ist Online
    Publiziert Als Khdm-Report Zur Khdm Conference 2015.)</i>, 2015.
  ieee: K. Hesse, “Online Tests for Evaluating Learning Success,” 2015.
  mla: Hesse, Kerstin. “Online Tests for Evaluating Learning Success.” <i>Extended
    Abstract Der Khdm Conference 2015, 8 Seiten. (Dieser Extended Abstract Ist Online
    Publiziert Als Khdm-Report Zur Khdm Conference 2015.)</i>, 2015.
  short: 'K. Hesse, in: Extended Abstract Der Khdm Conference 2015, 8 Seiten. (Dieser
    Extended Abstract Ist Online Publiziert Als Khdm-Report Zur Khdm Conference 2015.),
    2015.'
date_created: 2024-05-18T01:15:13Z
date_updated: 2024-05-20T06:35:11Z
department:
- _id: '10'
language:
- iso: eng
publication: Extended Abstract der khdm Conference 2015, 8 Seiten. (Dieser Extended
  Abstract ist online publiziert als khdm-Report zur khdm Conference 2015.)
publication_status: published
status: public
title: Online Tests for Evaluating Learning Success
type: conference
user_id: '71124'
year: '2015'
...
---
_id: '54322'
author:
- first_name: Kerstin
  full_name: Hesse, Kerstin
  id: '42608'
  last_name: Hesse
  orcid: 0000-0003-4125-1941
- first_name: Robert
  full_name: S. Womersley, Robert
  last_name: S. Womersley
citation:
  ama: Hesse K, S. Womersley R. Numerical integration with polynomial exactness over
    a spherical cap. <i>Advances in Computational Mathematics</i>. 2012;36:451-483.
  apa: Hesse, K., &#38; S. Womersley, R. (2012). Numerical integration with polynomial
    exactness over a spherical cap. <i>Advances in Computational Mathematics</i>,
    <i>36</i>, 451–483.
  bibtex: '@article{Hesse_S. Womersley_2012, title={Numerical integration with polynomial
    exactness over a spherical cap}, volume={36}, journal={Advances in Computational
    Mathematics}, author={Hesse, Kerstin and S. Womersley, Robert}, year={2012}, pages={451–483}
    }'
  chicago: 'Hesse, Kerstin, and Robert S. Womersley. “Numerical Integration with Polynomial
    Exactness over a Spherical Cap.” <i>Advances in Computational Mathematics</i>
    36 (2012): 451–83.'
  ieee: K. Hesse and R. S. Womersley, “Numerical integration with polynomial exactness
    over a spherical cap,” <i>Advances in Computational Mathematics</i>, vol. 36,
    pp. 451–483, 2012.
  mla: Hesse, Kerstin, and Robert S. Womersley. “Numerical Integration with Polynomial
    Exactness over a Spherical Cap.” <i>Advances in Computational Mathematics</i>,
    vol. 36, 2012, pp. 451–83.
  short: K. Hesse, R. S. Womersley, Advances in Computational Mathematics 36 (2012)
    451–483.
date_created: 2024-05-17T19:05:11Z
date_updated: 2024-05-20T06:14:57Z
department:
- _id: '10'
intvolume: '        36'
language:
- iso: eng
page: 451-483
publication: Advances in Computational Mathematics
publication_status: published
status: public
title: Numerical integration with polynomial exactness over a spherical cap
type: journal_article
user_id: '71124'
volume: 36
year: '2012'
...
---
_id: '54323'
author:
- first_name: Kerstin
  full_name: Hesse, Kerstin
  id: '42608'
  last_name: Hesse
  orcid: 0000-0003-4125-1941
citation:
  ama: Hesse K. Complexity of numerical integration over spherical caps in a Sobolev
    space setting. <i>Journal of Complexity</i>. 2011;27:383-403.
  apa: Hesse, K. (2011). Complexity of numerical integration over spherical caps in
    a Sobolev space setting. <i>Journal of Complexity</i>, <i>27</i>, 383–403.
  bibtex: '@article{Hesse_2011, title={Complexity of numerical integration over spherical
    caps in a Sobolev space setting}, volume={27}, journal={Journal of Complexity},
    author={Hesse, Kerstin}, year={2011}, pages={383–403} }'
  chicago: 'Hesse, Kerstin. “Complexity of Numerical Integration over Spherical Caps
    in a Sobolev Space Setting.” <i>Journal of Complexity</i> 27 (2011): 383–403.'
  ieee: K. Hesse, “Complexity of numerical integration over spherical caps in a Sobolev
    space setting,” <i>Journal of Complexity</i>, vol. 27, pp. 383–403, 2011.
  mla: Hesse, Kerstin. “Complexity of Numerical Integration over Spherical Caps in
    a Sobolev Space Setting.” <i>Journal of Complexity</i>, vol. 27, 2011, pp. 383–403.
  short: K. Hesse, Journal of Complexity 27 (2011) 383–403.
date_created: 2024-05-17T19:08:26Z
date_updated: 2024-05-20T06:06:33Z
department:
- _id: '10'
intvolume: '        27'
language:
- iso: eng
page: 383-403
publication: Journal of Complexity
publication_status: published
status: public
title: Complexity of numerical integration over spherical caps in a Sobolev space
  setting
type: journal_article
user_id: '71124'
volume: 27
year: '2011'
...
---
_id: '54337'
author:
- first_name: Kerstin
  full_name: Hesse, Kerstin
  id: '42608'
  last_name: Hesse
  orcid: 0000-0003-4125-1941
- first_name: Ian
  full_name: H. Sloan, Ian
  last_name: H. Sloan
- first_name: ' Robert '
  full_name: 'S. Womersley,  Robert '
  last_name: S. Womersley
citation:
  ama: 'Hesse K, H. Sloan I, S. Womersley  Robert . Numerical integration on the sphere.
    In: Freeden W, Nashed  Z, Sonar T, eds. <i>Handbook of Geomathematics </i>. Springer
    Verlag; 2010:1187-1220.'
  apa: Hesse, K., H. Sloan, I., &#38; S. Womersley,  Robert . (2010). Numerical integration
    on the sphere. In W. Freeden, Z. Nashed , &#38; T. Sonar (Eds.), <i>Handbook of
    Geomathematics </i> (pp. 1187-1220.). Springer Verlag.
  bibtex: '@inbook{Hesse_H. Sloan_S. Womersley_2010, title={Numerical integration
    on the sphere}, booktitle={Handbook of Geomathematics }, publisher={Springer Verlag},
    author={Hesse, Kerstin and H. Sloan, Ian and S. Womersley,  Robert }, editor={Freeden,
    Willi and Nashed , Zuhair  and Sonar, Thomas}, year={2010}, pages={1187-1220.}
    }'
  chicago: Hesse, Kerstin, Ian H. Sloan, and  Robert  S. Womersley. “Numerical Integration
    on the Sphere.” In <i>Handbook of Geomathematics </i>, edited by Willi Freeden,
    Zuhair  Nashed , and Thomas Sonar, 1187-1220. Springer Verlag, 2010.
  ieee: K. Hesse, I. H. Sloan, and  Robert  S. Womersley, “Numerical integration on
    the sphere,” in <i>Handbook of Geomathematics </i>, W. Freeden, Z. Nashed , and
    T. Sonar, Eds. Springer Verlag, 2010, pp. 1187-1220.
  mla: Hesse, Kerstin, et al. “Numerical Integration on the Sphere.” <i>Handbook of
    Geomathematics </i>, edited by Willi Freeden et al., Springer Verlag, 2010, pp.
    1187-1220.
  short: 'K. Hesse, I. H. Sloan,  Robert  S. Womersley, in: W. Freeden, Z. Nashed
    , T. Sonar (Eds.), Handbook of Geomathematics , Springer Verlag, 2010, pp. 1187-1220.'
date_created: 2024-05-18T00:07:42Z
date_updated: 2024-05-20T06:24:41Z
department:
- _id: '10'
editor:
- first_name: Willi
  full_name: Freeden, Willi
  last_name: Freeden
- first_name: 'Zuhair '
  full_name: 'Nashed , Zuhair '
  last_name: 'Nashed '
- first_name: Thomas
  full_name: Sonar, Thomas
  last_name: Sonar
language:
- iso: eng
page: 1187-1220.
publication: 'Handbook of Geomathematics '
publication_status: published
publisher: Springer Verlag
status: public
title: Numerical integration on the sphere
type: book_chapter
user_id: '71124'
year: '2010'
...
---
_id: '54324'
author:
- first_name: Kerstin
  full_name: Hesse, Kerstin
  id: '42608'
  last_name: Hesse
  orcid: 0000-0003-4125-1941
citation:
  ama: Hesse K. The s-energy of spherical designs on S2. <i>Advances in Computational
    Mathematics</i>. 2009;30:37-59.
  apa: Hesse, K. (2009). The s-energy of spherical designs on S2. <i>Advances in Computational
    Mathematics</i>, <i>30</i>, 37–59.
  bibtex: '@article{Hesse_2009, title={The s-energy of spherical designs on S2}, volume={30},
    journal={Advances in Computational Mathematics}, author={Hesse, Kerstin}, year={2009},
    pages={37–59} }'
  chicago: 'Hesse, Kerstin. “The S-Energy of Spherical Designs on S2.” <i>Advances
    in Computational Mathematics</i> 30 (2009): 37–59.'
  ieee: K. Hesse, “The s-energy of spherical designs on S2,” <i>Advances in Computational
    Mathematics</i>, vol. 30, pp. 37–59, 2009.
  mla: Hesse, Kerstin. “The S-Energy of Spherical Designs on S2.” <i>Advances in Computational
    Mathematics</i>, vol. 30, 2009, pp. 37–59.
  short: K. Hesse, Advances in Computational Mathematics 30 (2009) 37–59.
date_created: 2024-05-17T19:11:03Z
date_updated: 2024-05-20T06:09:34Z
department:
- _id: '10'
intvolume: '        30'
language:
- iso: eng
page: 37-59
publication: Advances in Computational Mathematics
publication_status: published
status: public
title: The s-energy of spherical designs on S2
type: journal_article
user_id: '71124'
volume: 30
year: '2009'
...
---
_id: '54326'
author:
- first_name: Kerstin
  full_name: Hesse, Kerstin
  id: '42608'
  last_name: Hesse
  orcid: 0000-0003-4125-1941
- first_name: 'Quoc '
  full_name: 'Thong Le Gia, Quoc '
  last_name: Thong Le Gia
citation:
  ama: Hesse K, Thong Le Gia Q. Local radial basis function approximation on the sphere.
    <i>Bulletin of the Australian Mathematical Society</i>. 2008;77:197-224.
  apa: Hesse, K., &#38; Thong Le Gia, Q. (2008). Local radial basis function approximation
    on the sphere. <i>Bulletin of the Australian Mathematical Society</i>, <i>77</i>,
    197–224.
  bibtex: '@article{Hesse_Thong Le Gia_2008, title={Local radial basis function approximation
    on the sphere}, volume={77}, journal={Bulletin of the Australian Mathematical
    Society}, author={Hesse, Kerstin and Thong Le Gia, Quoc }, year={2008}, pages={197–224}
    }'
  chicago: 'Hesse, Kerstin, and Quoc  Thong Le Gia. “Local Radial Basis Function Approximation
    on the Sphere.” <i>Bulletin of the Australian Mathematical Society</i> 77 (2008):
    197–224.'
  ieee: K. Hesse and Q. Thong Le Gia, “Local radial basis function approximation on
    the sphere,” <i>Bulletin of the Australian Mathematical Society</i>, vol. 77,
    pp. 197–224, 2008.
  mla: Hesse, Kerstin, and Quoc Thong Le Gia. “Local Radial Basis Function Approximation
    on the Sphere.” <i>Bulletin of the Australian Mathematical Society</i>, vol. 77,
    2008, pp. 197–224.
  short: K. Hesse, Q. Thong Le Gia, Bulletin of the Australian Mathematical Society
    77 (2008) 197–224.
date_created: 2024-05-17T19:36:32Z
date_updated: 2024-05-20T06:11:03Z
department:
- _id: '10'
intvolume: '        77'
language:
- iso: eng
page: 197-224
publication: Bulletin of the Australian Mathematical Society
publication_status: published
status: public
title: Local radial basis function approximation on the sphere
type: journal_article
user_id: '71124'
volume: 77
year: '2008'
...
---
_id: '54325'
author:
- first_name: Kerstin
  full_name: Hesse, Kerstin
  id: '42608'
  last_name: Hesse
  orcid: 0000-0003-4125-1941
- first_name: Paul
  full_name: Leopardi, Paul
  last_name: Leopardi
citation:
  ama: Hesse K, Leopardi P. The Coulomb energy of spherical designs on S2. <i>Advances
    in Computational Mathematics</i>. 2008;28:331-354.
  apa: Hesse, K., &#38; Leopardi, P. (2008). The Coulomb energy of spherical designs
    on S2. <i>Advances in Computational Mathematics</i>, <i>28</i>, 331–354.
  bibtex: '@article{Hesse_Leopardi_2008, title={The Coulomb energy of spherical designs
    on S2}, volume={28}, journal={Advances in Computational Mathematics}, author={Hesse,
    Kerstin and Leopardi, Paul}, year={2008}, pages={331–354} }'
  chicago: 'Hesse, Kerstin, and Paul Leopardi. “The Coulomb Energy of Spherical Designs
    on S2.” <i>Advances in Computational Mathematics</i> 28 (2008): 331–54.'
  ieee: K. Hesse and P. Leopardi, “The Coulomb energy of spherical designs on S2,”
    <i>Advances in Computational Mathematics</i>, vol. 28, pp. 331–354, 2008.
  mla: Hesse, Kerstin, and Paul Leopardi. “The Coulomb Energy of Spherical Designs
    on S2.” <i>Advances in Computational Mathematics</i>, vol. 28, 2008, pp. 331–54.
  short: K. Hesse, P. Leopardi, Advances in Computational Mathematics 28 (2008) 331–354.
date_created: 2024-05-17T19:14:15Z
date_updated: 2024-05-20T06:09:14Z
department:
- _id: '10'
intvolume: '        28'
language:
- iso: eng
page: 331-354
publication: Advances in Computational Mathematics
publication_status: published
status: public
title: The Coulomb energy of spherical designs on S2
type: journal_article
user_id: '71124'
volume: 28
year: '2008'
...
---
_id: '54328'
author:
- first_name: Kerstin
  full_name: Hesse, Kerstin
  id: '42608'
  last_name: Hesse
  orcid: 0000-0003-4125-1941
- first_name: 'Frances '
  full_name: 'Y. Kuo, Frances '
  last_name: Y. Kuo
- first_name: Ian
  full_name: ' H. Sloan, Ian'
  last_name: ' H. Sloan'
citation:
  ama: Hesse K, Y. Kuo F,  H. Sloan I. A component-by-component approach to efficient
    numerical integration over products of spheres. <i>Journal of Complexity</i>.
    2007;23:25-51.
  apa: Hesse, K., Y. Kuo, F., &#38;  H. Sloan, I. (2007). A component-by-component
    approach to efficient numerical integration over products of spheres. <i>Journal
    of Complexity</i>, <i>23</i>, 25–51.
  bibtex: '@article{Hesse_Y. Kuo_ H. Sloan_2007, title={A component-by-component approach
    to efficient numerical integration over products of spheres}, volume={23}, journal={Journal
    of Complexity}, author={Hesse, Kerstin and Y. Kuo, Frances  and  H. Sloan, Ian},
    year={2007}, pages={25–51} }'
  chicago: 'Hesse, Kerstin, Frances  Y. Kuo, and Ian  H. Sloan. “A Component-by-Component
    Approach to Efficient Numerical Integration over Products of Spheres.” <i>Journal
    of Complexity</i> 23 (2007): 25–51.'
  ieee: K. Hesse, F. Y. Kuo, and I.  H. Sloan, “A component-by-component approach
    to efficient numerical integration over products of spheres,” <i>Journal of Complexity</i>,
    vol. 23, pp. 25–51, 2007.
  mla: Hesse, Kerstin, et al. “A Component-by-Component Approach to Efficient Numerical
    Integration over Products of Spheres.” <i>Journal of Complexity</i>, vol. 23,
    2007, pp. 25–51.
  short: K. Hesse, F. Y. Kuo, I.  H. Sloan, Journal of Complexity 23 (2007) 25–51.
date_created: 2024-05-17T19:47:41Z
date_updated: 2024-05-20T06:14:12Z
department:
- _id: '10'
intvolume: '        23'
language:
- iso: eng
page: 25-51
publication: Journal of Complexity
publication_status: published
status: public
title: A component-by-component approach to efficient numerical integration over products
  of spheres
type: journal_article
user_id: '71124'
volume: 23
year: '2007'
...
---
_id: '54327'
author:
- first_name: Kerstin
  full_name: Hesse, Kerstin
  id: '42608'
  last_name: Hesse
  orcid: 0000-0003-4125-1941
- first_name: Hrushikesh
  full_name: N  Mhaskar, Hrushikesh
  last_name: N  Mhaskar
- first_name: Ian
  full_name: H. Sloan, Ian
  last_name: H. Sloan
citation:
  ama: Hesse K, N  Mhaskar H, H. Sloan I. Quadrature in Besov spaces on the Euclidean
    sphere. <i>Journal of Complexity</i>. 2007;23:528-552.
  apa: Hesse, K., N  Mhaskar, H., &#38; H. Sloan, I. (2007). Quadrature in Besov spaces
    on the Euclidean sphere. <i>Journal of Complexity</i>, <i>23</i>, 528–552.
  bibtex: '@article{Hesse_N  Mhaskar_H. Sloan_2007, title={Quadrature in Besov spaces
    on the Euclidean sphere}, volume={23}, journal={Journal of Complexity}, author={Hesse,
    Kerstin and N  Mhaskar, Hrushikesh and H. Sloan, Ian}, year={2007}, pages={528–552}
    }'
  chicago: 'Hesse, Kerstin, Hrushikesh N  Mhaskar, and Ian H. Sloan. “Quadrature in
    Besov Spaces on the Euclidean Sphere.” <i>Journal of Complexity</i> 23 (2007):
    528–52.'
  ieee: K. Hesse, H. N  Mhaskar, and I. H. Sloan, “Quadrature in Besov spaces on the
    Euclidean sphere,” <i>Journal of Complexity</i>, vol. 23, pp. 528–552, 2007.
  mla: Hesse, Kerstin, et al. “Quadrature in Besov Spaces on the Euclidean Sphere.”
    <i>Journal of Complexity</i>, vol. 23, 2007, pp. 528–52.
  short: K. Hesse, H. N  Mhaskar, I. H. Sloan, Journal of Complexity 23 (2007) 528–552.
date_created: 2024-05-17T19:44:57Z
date_updated: 2024-05-20T06:13:08Z
department:
- _id: '10'
intvolume: '        23'
language:
- iso: eng
page: 528-552
publication: Journal of Complexity
publication_status: published
status: public
title: Quadrature in Besov spaces on the Euclidean sphere
type: journal_article
user_id: '71124'
volume: 23
year: '2007'
...
---
_id: '54330'
author:
- first_name: Kerstin
  full_name: Hesse, Kerstin
  id: '42608'
  last_name: Hesse
  orcid: 0000-0003-4125-1941
- first_name: Joann
  full_name: S. Brauchart, Joann
  last_name: S. Brauchart
citation:
  ama: Hesse K, S. Brauchart J. Numerical integration over spheres of arbitrary dimension.
    <i>Constructive Approximation</i>. 2007;25:41-71.
  apa: Hesse, K., &#38; S. Brauchart, J. (2007). Numerical integration over spheres
    of arbitrary dimension. <i>Constructive Approximation</i>, <i>25</i>, 41–71.
  bibtex: '@article{Hesse_S. Brauchart_2007, title={Numerical integration over spheres
    of arbitrary dimension}, volume={25}, journal={Constructive Approximation}, author={Hesse,
    Kerstin and S. Brauchart, Joann}, year={2007}, pages={41–71} }'
  chicago: 'Hesse, Kerstin, and Joann S. Brauchart. “Numerical Integration over Spheres
    of Arbitrary Dimension.” <i>Constructive Approximation</i> 25 (2007): 41–71.'
  ieee: K. Hesse and J. S. Brauchart, “Numerical integration over spheres of arbitrary
    dimension,” <i>Constructive Approximation</i>, vol. 25, pp. 41–71, 2007.
  mla: Hesse, Kerstin, and Joann S. Brauchart. “Numerical Integration over Spheres
    of Arbitrary Dimension.” <i>Constructive Approximation</i>, vol. 25, 2007, pp.
    41–71.
  short: K. Hesse, J. S. Brauchart, Constructive Approximation 25 (2007) 41–71.
date_created: 2024-05-17T19:50:27Z
date_updated: 2024-05-20T06:16:01Z
department:
- _id: '10'
intvolume: '        25'
language:
- iso: eng
page: 41-71
publication: Constructive Approximation
publication_status: published
status: public
title: Numerical integration over spheres of arbitrary dimension
type: journal_article
user_id: '71124'
volume: 25
year: '2007'
...
---
_id: '54331'
author:
- first_name: Kerstin
  full_name: Hesse, Kerstin
  id: '42608'
  last_name: Hesse
  orcid: 0000-0003-4125-1941
citation:
  ama: Hesse K. A lower bound for the worst-case cubature error on spheres of arbitrary
    dimension. <i>Numerische Mathematik</i>. 2006;103:413-433.
  apa: Hesse, K. (2006). A lower bound for the worst-case cubature error on spheres
    of arbitrary dimension. <i>Numerische Mathematik</i>, <i>103</i>, 413–433.
  bibtex: '@article{Hesse_2006, title={A lower bound for the worst-case cubature error
    on spheres of arbitrary dimension}, volume={103}, journal={Numerische Mathematik},
    author={Hesse, Kerstin}, year={2006}, pages={413–433} }'
  chicago: 'Hesse, Kerstin. “A Lower Bound for the Worst-Case Cubature Error on Spheres
    of Arbitrary Dimension.” <i>Numerische Mathematik</i> 103 (2006): 413–33.'
  ieee: K. Hesse, “A lower bound for the worst-case cubature error on spheres of arbitrary
    dimension,” <i>Numerische Mathematik</i>, vol. 103, pp. 413–433, 2006.
  mla: Hesse, Kerstin. “A Lower Bound for the Worst-Case Cubature Error on Spheres
    of Arbitrary Dimension.” <i>Numerische Mathematik</i>, vol. 103, 2006, pp. 413–33.
  short: K. Hesse, Numerische Mathematik 103 (2006) 413–433.
date_created: 2024-05-17T19:52:29Z
date_updated: 2024-05-20T06:16:44Z
department:
- _id: '10'
intvolume: '       103'
language:
- iso: eng
page: 413-433
publication: Numerische Mathematik
publication_status: published
status: public
title: A lower bound for the worst-case cubature error on spheres of arbitrary dimension
type: journal_article
user_id: '71124'
volume: 103
year: '2006'
...
---
_id: '54332'
author:
- first_name: Kerstin
  full_name: Hesse, Kerstin
  id: '42608'
  last_name: Hesse
  orcid: 0000-0003-4125-1941
- first_name: Ian
  full_name: H. Sloan, Ian
  last_name: H. Sloan
citation:
  ama: Hesse K, H. Sloan I. Cubature over the sphere S2 in Sobolev spaces of arbitrary
    order. <i>Journal of Approximation Theory</i>. 2006;141:118-133.
  apa: Hesse, K., &#38; H. Sloan, I. (2006). Cubature over the sphere S2 in Sobolev
    spaces of arbitrary order. <i>Journal of Approximation Theory</i>, <i>141</i>,
    118–133.
  bibtex: '@article{Hesse_H. Sloan_2006, title={Cubature over the sphere S2 in Sobolev
    spaces of arbitrary order}, volume={141}, journal={Journal of Approximation Theory},
    author={Hesse, Kerstin and H. Sloan, Ian}, year={2006}, pages={118–133} }'
  chicago: 'Hesse, Kerstin, and Ian H. Sloan. “Cubature over the Sphere S2 in Sobolev
    Spaces of Arbitrary Order.” <i>Journal of Approximation Theory</i> 141 (2006):
    118–33.'
  ieee: K. Hesse and I. H. Sloan, “Cubature over the sphere S2 in Sobolev spaces of
    arbitrary order,” <i>Journal of Approximation Theory</i>, vol. 141, pp. 118–133,
    2006.
  mla: Hesse, Kerstin, and Ian H. Sloan. “Cubature over the Sphere S2 in Sobolev Spaces
    of Arbitrary Order.” <i>Journal of Approximation Theory</i>, vol. 141, 2006, pp.
    118–33.
  short: K. Hesse, I. H. Sloan, Journal of Approximation Theory 141 (2006) 118–133.
date_created: 2024-05-17T19:54:44Z
date_updated: 2024-05-20T06:17:21Z
department:
- _id: '10'
intvolume: '       141'
language:
- iso: eng
page: 118-133
publication: Journal of Approximation Theory
publication_status: published
status: public
title: Cubature over the sphere S2 in Sobolev spaces of arbitrary order
type: journal_article
user_id: '71124'
volume: 141
year: '2006'
...
---
_id: '54338'
author:
- first_name: Kerstin
  full_name: Hesse, Kerstin
  id: '42608'
  last_name: Hesse
  orcid: 0000-0003-4125-1941
- first_name: Ian
  full_name: H. Sloan, Ian
  last_name: H. Sloan
citation:
  ama: 'Hesse K, H. Sloan I. Hyperinterpolation on the sphere. In: Govil NK, Mhaskar
    HN, N. Mohapatra R, Nashed  Z, Szabados J, eds. <i>Frontiers in Interpolation
    and Approximation (Dedicated to the Memory of Ambikeshwar Sharma)</i>. Chapman
    &#38; Hall/CRC; 2006:213-248.'
  apa: Hesse, K., &#38; H. Sloan, I. (2006). Hyperinterpolation on the sphere. In
    N. K. Govil, H. N. Mhaskar, R. N. Mohapatra, Z. Nashed , &#38; J. Szabados (Eds.),
    <i>Frontiers in Interpolation and Approximation (Dedicated to the Memory of Ambikeshwar
    Sharma)</i> (pp. 213–248). Chapman &#38; Hall/CRC.
  bibtex: '@inbook{Hesse_H. Sloan_2006, title={Hyperinterpolation on the sphere},
    booktitle={Frontiers in Interpolation and Approximation (Dedicated to the Memory
    of Ambikeshwar Sharma)}, publisher={Chapman &#38; Hall/CRC}, author={Hesse, Kerstin
    and H. Sloan, Ian}, editor={Govil, N. K. and Mhaskar, H. N. and N. Mohapatra,
    Ram and Nashed , Zuhair and Szabados, J}, year={2006}, pages={213–248} }'
  chicago: Hesse, Kerstin, and Ian H. Sloan. “Hyperinterpolation on the Sphere.” In
    <i>Frontiers in Interpolation and Approximation (Dedicated to the Memory of Ambikeshwar
    Sharma)</i>, edited by N. K. Govil, H. N. Mhaskar, Ram N. Mohapatra, Zuhair Nashed
    , and J Szabados, 213–48. Chapman &#38; Hall/CRC, 2006.
  ieee: K. Hesse and I. H. Sloan, “Hyperinterpolation on the sphere,” in <i>Frontiers
    in Interpolation and Approximation (Dedicated to the Memory of Ambikeshwar Sharma)</i>,
    N. K. Govil, H. N. Mhaskar, R. N. Mohapatra, Z. Nashed , and J. Szabados, Eds.
    Chapman &#38; Hall/CRC, 2006, pp. 213–248.
  mla: Hesse, Kerstin, and Ian H. Sloan. “Hyperinterpolation on the Sphere.” <i>Frontiers
    in Interpolation and Approximation (Dedicated to the Memory of Ambikeshwar Sharma)</i>,
    edited by N. K. Govil et al., Chapman &#38; Hall/CRC, 2006, pp. 213–48.
  short: 'K. Hesse, I. H. Sloan, in: N.K. Govil, H.N. Mhaskar, R. N. Mohapatra, Z.
    Nashed , J. Szabados (Eds.), Frontiers in Interpolation and Approximation (Dedicated
    to the Memory of Ambikeshwar Sharma), Chapman &#38; Hall/CRC, 2006, pp. 213–248.'
date_created: 2024-05-18T00:13:43Z
date_updated: 2025-07-22T18:13:23Z
department:
- _id: '10'
editor:
- first_name: N. K.
  full_name: Govil, N. K.
  last_name: Govil
- first_name: H. N.
  full_name: Mhaskar, H. N.
  last_name: Mhaskar
- first_name: Ram
  full_name: N. Mohapatra, Ram
  last_name: N. Mohapatra
- first_name: Zuhair
  full_name: Nashed , Zuhair
  last_name: 'Nashed '
- first_name: J
  full_name: Szabados, J
  last_name: Szabados
language:
- iso: eng
page: '213-248 '
publication: Frontiers in Interpolation and Approximation (Dedicated to the Memory
  of Ambikeshwar Sharma)
publication_status: published
publisher: Chapman & Hall/CRC
status: public
title: Hyperinterpolation on the sphere
type: book_chapter
user_id: '71124'
year: '2006'
...
---
_id: '54339'
author:
- first_name: Kerstin
  full_name: Hesse, Kerstin
  id: '42608'
  last_name: Hesse
  orcid: 0000-0003-4125-1941
- first_name: Ian
  full_name: H. Sloan, Ian
  last_name: H. Sloan
citation:
  ama: 'Hesse K, H. Sloan I. Optimal order integration on the sphere. In: Li  T, Zhang
    P, eds. <i>Frontiers and Prospects of Contemporary Applied Mathematics</i>. Series
    in Contemporary Applied Mathematics CAM 6 . Higher Education Press und World Scientific;
    2005:59-70.'
  apa: Hesse, K., &#38; H. Sloan, I. (2005). Optimal order integration on the sphere.
    In T. Li  &#38; P. Zhang (Eds.), <i>Frontiers and Prospects of Contemporary Applied
    Mathematics</i> (pp. 59–70). Higher Education Press und World Scientific.
  bibtex: '@inbook{Hesse_H. Sloan_2005, series={Series in Contemporary Applied Mathematics
    CAM 6 }, title={Optimal order integration on the sphere}, booktitle={Frontiers
    and Prospects of Contemporary Applied Mathematics}, publisher={Higher Education
    Press und World Scientific}, author={Hesse, Kerstin and H. Sloan, Ian}, editor={Li
    , Tatsien and Zhang, Pingwen}, year={2005}, pages={59–70}, collection={Series
    in Contemporary Applied Mathematics CAM 6 } }'
  chicago: Hesse, Kerstin, and Ian H. Sloan. “Optimal Order Integration on the Sphere.”
    In <i>Frontiers and Prospects of Contemporary Applied Mathematics</i>, edited
    by Tatsien Li  and Pingwen Zhang, 59–70. Series in Contemporary Applied Mathematics
    CAM 6 . Higher Education Press und World Scientific, 2005.
  ieee: K. Hesse and I. H. Sloan, “Optimal order integration on the sphere,” in <i>Frontiers
    and Prospects of Contemporary Applied Mathematics</i>, T. Li  and P. Zhang, Eds.
    Higher Education Press und World Scientific, 2005, pp. 59–70.
  mla: Hesse, Kerstin, and Ian H. Sloan. “Optimal Order Integration on the Sphere.”
    <i>Frontiers and Prospects of Contemporary Applied Mathematics</i>, edited by
    Tatsien Li  and Pingwen Zhang, Higher Education Press und World Scientific, 2005,
    pp. 59–70.
  short: 'K. Hesse, I. H. Sloan, in: T. Li , P. Zhang (Eds.), Frontiers and Prospects
    of Contemporary Applied Mathematics, Higher Education Press und World Scientific,
    2005, pp. 59–70.'
date_created: 2024-05-18T01:04:24Z
date_updated: 2024-05-20T06:31:00Z
department:
- _id: '10'
editor:
- first_name: Tatsien
  full_name: Li , Tatsien
  last_name: 'Li '
- first_name: Pingwen
  full_name: Zhang, Pingwen
  last_name: Zhang
language:
- iso: eng
page: 59-70
publication: Frontiers and Prospects of Contemporary Applied Mathematics
publication_status: published
publisher: Higher Education Press und World Scientific
series_title: 'Series in Contemporary Applied Mathematics CAM 6 '
status: public
title: Optimal order integration on the sphere
type: book_chapter
user_id: '71124'
year: '2005'
...
---
_id: '54334'
author:
- first_name: Kerstin
  full_name: Hesse, Kerstin
  id: '42608'
  last_name: Hesse
  orcid: 0000-0003-4125-1941
- first_name: Ian
  full_name: H. Sloan, Ian
  last_name: H. Sloan
citation:
  ama: Hesse K, H. Sloan I. Worst-case errors in a Sobolev space setting for cubature
    over the sphere S2. <i>Bulletin of the Australian Mathematical Society</i>. 2005;71:81-105.
  apa: Hesse, K., &#38; H. Sloan, I. (2005). Worst-case errors in a Sobolev space
    setting for cubature over the sphere S2. <i>Bulletin of the Australian Mathematical
    Society</i>, <i>71</i>, 81–105.
  bibtex: '@article{Hesse_H. Sloan_2005, title={Worst-case errors in a Sobolev space
    setting for cubature over the sphere S2}, volume={71}, journal={Bulletin of the
    Australian Mathematical Society}, author={Hesse, Kerstin and H. Sloan, Ian}, year={2005},
    pages={81–105} }'
  chicago: 'Hesse, Kerstin, and Ian H. Sloan. “Worst-Case Errors in a Sobolev Space
    Setting for Cubature over the Sphere S2.” <i>Bulletin of the Australian Mathematical
    Society</i> 71 (2005): 81–105.'
  ieee: K. Hesse and I. H. Sloan, “Worst-case errors in a Sobolev space setting for
    cubature over the sphere S2,” <i>Bulletin of the Australian Mathematical Society</i>,
    vol. 71, pp. 81–105, 2005.
  mla: Hesse, Kerstin, and Ian H. Sloan. “Worst-Case Errors in a Sobolev Space Setting
    for Cubature over the Sphere S2.” <i>Bulletin of the Australian Mathematical Society</i>,
    vol. 71, 2005, pp. 81–105.
  short: K. Hesse, I. H. Sloan, Bulletin of the Australian Mathematical Society 71
    (2005) 81–105.
date_created: 2024-05-17T23:53:59Z
date_updated: 2024-05-20T06:18:32Z
department:
- _id: '10'
intvolume: '        71'
language:
- iso: eng
page: 81-105
publication: Bulletin of the Australian Mathematical Society
publication_status: published
status: public
title: Worst-case errors in a Sobolev space setting for cubature over the sphere S2
type: journal_article
user_id: '71124'
volume: 71
year: '2005'
...