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25 Publications
2022 | Journal Article | LibreCat-ID: 34633
@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={10.1016/j.cam.2022.114118}, number={114118}, journal={Journal of Computational and Applied Mathematics}, publisher={Elsevier BV}, author={Hesse, Kerstin and Le Gia, Quoc Thong}, year={2022} }
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 34629
@article{Hesse_Sloan_Womersley_2021, title={Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data}, volume={382}, DOI={10.1016/j.cam.2020.113061}, 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} }
LibreCat
| DOI
2020 | Book Chapter | LibreCat-ID: 34632
@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} }
LibreCat
2017 | Journal Article | LibreCat-ID: 34631
@article{Hesse_Sloan_Womersley_2017, title={Radial basis function approximation of noisy scattered data on the sphere}, volume={137}, DOI={10.1007/s00211-017-0886-6}, 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} }
LibreCat
| DOI
2016 | Conference Paper | LibreCat-ID: 54340
@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. & 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} }
LibreCat
2015 | Conference Paper | LibreCat-ID: 54341
@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} }
LibreCat
2012 | Journal Article | LibreCat-ID: 54322
@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} }
LibreCat
2011 | Journal Article | LibreCat-ID: 54323
@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} }
LibreCat
2010 | Book Chapter | LibreCat-ID: 54337
@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.} }
LibreCat
2009 | Journal Article | LibreCat-ID: 54324
@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} }
LibreCat
2008 | Journal Article | LibreCat-ID: 54326
@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} }
LibreCat
2008 | Journal Article | LibreCat-ID: 54325
@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} }
LibreCat
2007 | Journal Article | LibreCat-ID: 54328
@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} }
LibreCat
2007 | Journal Article | LibreCat-ID: 54327
@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} }
LibreCat
2007 | Journal Article | LibreCat-ID: 54330
@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} }
LibreCat
2006 | Journal Article | LibreCat-ID: 54331
@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} }
LibreCat
2006 | Book Chapter | LibreCat-ID: 54338
@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 & 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} }
LibreCat
2006 | Journal Article | LibreCat-ID: 54332
@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} }
LibreCat
2005 | Book Chapter | LibreCat-ID: 54339
@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 } }
LibreCat
2005 | Journal Article | LibreCat-ID: 54334
@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} }
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