@article{34633,
  author       = {{Hesse, Kerstin and Le Gia, Quoc Thong}},
  issn         = {{0377-0427}},
  journal      = {{Journal of Computational and Applied Mathematics}},
  keywords     = {{Applied Mathematics, Computational Mathematics}},
  publisher    = {{Elsevier BV}},
  title        = {{{L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data}}},
  doi          = {{10.1016/j.cam.2022.114118}},
  volume       = {{408}},
  year         = {{2022}},
}

@article{34629,
  author       = {{Hesse, Kerstin and Sloan, Ian H. and Womersley, Robert S.}},
  issn         = {{0377-0427}},
  journal      = {{Journal of Computational and Applied Mathematics}},
  keywords     = {{Applied Mathematics, Computational Mathematics}},
  publisher    = {{Elsevier BV}},
  title        = {{{Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data}}},
  doi          = {{10.1016/j.cam.2020.113061}},
  volume       = {{382}},
  year         = {{2021}},
}

@inbook{34632,
  author       = {{Hesse, Kerstin}},
  booktitle    = {{Multivariate Algorithms and Information-Based Complexity}},
  editor       = {{Hickernell, Fred J. and Kritzer, Peter}},
  isbn         = {{9783110633115}},
  pages        = {{33--42 }},
  publisher    = {{De Gruyter}},
  title        = {{{RBF-based penalized least-squares approximation of noisy scattered data on the sphere}}},
  year         = {{2020}},
}

@article{34631,
  author       = {{Hesse, Kerstin and Sloan, Ian H. and Womersley, Robert S.}},
  issn         = {{0029-599X}},
  journal      = {{Numerische Mathematik}},
  keywords     = {{Applied Mathematics, Computational Mathematics}},
  number       = {{3}},
  pages        = {{579--605}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Radial basis function approximation of noisy scattered data on the sphere}}},
  doi          = {{10.1007/s00211-017-0886-6}},
  volume       = {{137}},
  year         = {{2017}},
}

@inproceedings{54340,
  author       = {{Hesse, Kerstin}},
  booktitle    = {{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) }},
  editor       = {{Paravicini, Walther and Schnieder, Jörn}},
  pages        = {{86--102}},
  publisher    = {{WTM-Verlag}},
  title        = {{{Neugestaltung der "Höheren Mathematik A, B und C für Elektrotechniker" -- Nutzung der Lehrmaterialien durch Studierende}}},
  year         = {{2016}},
}

@inproceedings{54341,
  author       = {{Hesse, Kerstin}},
  booktitle    = {{Extended Abstract der khdm Conference 2015, 8 Seiten. (Dieser Extended Abstract ist online publiziert als khdm-Report zur khdm Conference 2015.)}},
  title        = {{{Online Tests for Evaluating Learning Success}}},
  year         = {{2015}},
}

@article{54322,
  author       = {{Hesse, Kerstin and S. Womersley, Robert}},
  journal      = {{Advances in Computational Mathematics}},
  pages        = {{451--483}},
  title        = {{{Numerical integration with polynomial exactness over a spherical cap}}},
  volume       = {{36}},
  year         = {{2012}},
}

@article{54323,
  author       = {{Hesse, Kerstin}},
  journal      = {{Journal of Complexity}},
  pages        = {{383--403}},
  title        = {{{Complexity of numerical integration over spherical caps in a Sobolev space setting}}},
  volume       = {{27}},
  year         = {{2011}},
}

@inbook{54337,
  author       = {{Hesse, Kerstin and H. Sloan, Ian and S. Womersley,  Robert }},
  booktitle    = {{Handbook of Geomathematics }},
  editor       = {{Freeden, Willi and Nashed , Zuhair  and Sonar, Thomas}},
  pages        = {{1187--1220.}},
  publisher    = {{Springer Verlag}},
  title        = {{{Numerical integration on the sphere}}},
  year         = {{2010}},
}

@article{54324,
  author       = {{Hesse, Kerstin}},
  journal      = {{Advances in Computational Mathematics}},
  pages        = {{37--59}},
  title        = {{{The s-energy of spherical designs on S2}}},
  volume       = {{30}},
  year         = {{2009}},
}

@article{54326,
  author       = {{Hesse, Kerstin and Thong Le Gia, Quoc }},
  journal      = {{Bulletin of the Australian Mathematical Society}},
  pages        = {{197--224}},
  title        = {{{Local radial basis function approximation on the sphere}}},
  volume       = {{77}},
  year         = {{2008}},
}

@article{54325,
  author       = {{Hesse, Kerstin and Leopardi, Paul}},
  journal      = {{Advances in Computational Mathematics}},
  pages        = {{331--354}},
  title        = {{{The Coulomb energy of spherical designs on S2}}},
  volume       = {{28}},
  year         = {{2008}},
}

@article{54328,
  author       = {{Hesse, Kerstin and Y. Kuo, Frances  and  H. Sloan, Ian}},
  journal      = {{Journal of Complexity}},
  pages        = {{25--51}},
  title        = {{{A component-by-component approach to efficient numerical integration over products of spheres}}},
  volume       = {{23}},
  year         = {{2007}},
}

@article{54327,
  author       = {{Hesse, Kerstin and N  Mhaskar, Hrushikesh and H. Sloan, Ian}},
  journal      = {{Journal of Complexity}},
  pages        = {{528--552}},
  title        = {{{Quadrature in Besov spaces on the Euclidean sphere}}},
  volume       = {{23}},
  year         = {{2007}},
}

@article{54330,
  author       = {{Hesse, Kerstin and S. Brauchart, Joann}},
  journal      = {{Constructive Approximation}},
  pages        = {{41--71}},
  title        = {{{Numerical integration over spheres of arbitrary dimension}}},
  volume       = {{25}},
  year         = {{2007}},
}

@article{54331,
  author       = {{Hesse, Kerstin}},
  journal      = {{Numerische Mathematik}},
  pages        = {{413--433}},
  title        = {{{A lower bound for the worst-case cubature error on spheres of arbitrary dimension}}},
  volume       = {{103}},
  year         = {{2006}},
}

@article{54332,
  author       = {{Hesse, Kerstin and H. Sloan, Ian}},
  journal      = {{Journal of Approximation Theory}},
  pages        = {{118--133}},
  title        = {{{Cubature over the sphere S2 in Sobolev spaces of arbitrary order}}},
  volume       = {{141}},
  year         = {{2006}},
}

@inbook{54338,
  author       = {{Hesse, Kerstin and H. Sloan, Ian}},
  booktitle    = {{Frontiers in Interpolation and Approximation (Dedicated to the Memory of Ambikeshwar Sharma)}},
  editor       = {{Govil, N. K. and Mhaskar, H. N. and N. Mohapatra, Ram and Nashed , Zuhair and Szabados, J}},
  pages        = {{213--248 }},
  publisher    = {{Chapman & Hall/CRC}},
  title        = {{{Hyperinterpolation on the sphere}}},
  year         = {{2006}},
}

@inbook{54339,
  author       = {{Hesse, Kerstin and H. Sloan, Ian}},
  booktitle    = {{Frontiers and Prospects of Contemporary Applied Mathematics}},
  editor       = {{Li , Tatsien and Zhang, Pingwen}},
  pages        = {{59--70}},
  publisher    = {{Higher Education Press und World Scientific}},
  title        = {{{Optimal order integration on the sphere}}},
  year         = {{2005}},
}

@article{54334,
  author       = {{Hesse, Kerstin and H. Sloan, Ian}},
  journal      = {{Bulletin of the Australian Mathematical Society}},
  pages        = {{81--105}},
  title        = {{{Worst-case errors in a Sobolev space setting for cubature over the sphere S2}}},
  volume       = {{71}},
  year         = {{2005}},
}