25 Publications
2022 | Journal Article | LibreCat-ID: 34633
Hesse, Kerstin, and Quoc Thong Le Gia. “L_2 Error Estimates for Polynomial Discrete Penalized Least-Squares Approximation on the Sphere from Noisy Data.” Journal of Computational and Applied Mathematics, vol. 408, 114118, Elsevier BV, 2022, doi:10.1016/j.cam.2022.114118.
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 34629
Hesse, Kerstin, et al. “Local RBF-Based Penalized Least-Squares Approximation on the Sphere with Noisy Scattered Data.” Journal of Computational and Applied Mathematics, vol. 382, 113061, Elsevier BV, 2021, doi:10.1016/j.cam.2020.113061.
LibreCat
| DOI
2020 | Book Chapter | LibreCat-ID: 34632
Hesse, Kerstin. “RBF-Based Penalized Least-Squares Approximation of Noisy Scattered Data on the Sphere.” Multivariate Algorithms and Information-Based Complexity, edited by Fred J. Hickernell and Peter Kritzer, De Gruyter, 2020, pp. 33–42.
LibreCat
2017 | Journal Article | LibreCat-ID: 34631
Hesse, Kerstin, et al. “Radial Basis Function Approximation of Noisy Scattered Data on the Sphere.” Numerische Mathematik, vol. 137, no. 3, Springer Science and Business Media LLC, 2017, pp. 579–605, doi:10.1007/s00211-017-0886-6.
LibreCat
| DOI
2016 | Conference Paper | LibreCat-ID: 54340
Hesse, Kerstin. “Neugestaltung Der ‘Höheren Mathematik A, B Und C Für Elektrotechniker’ -- Nutzung Der Lehrmaterialien Durch Studierende.” 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) , edited by Walther Paravicini and Jörn Schnieder, WTM-Verlag, 2016, pp. 86–102.
LibreCat
2015 | Conference Paper | LibreCat-ID: 54341
Hesse, Kerstin. “Online Tests for Evaluating Learning Success.” Extended Abstract Der Khdm Conference 2015, 8 Seiten. (Dieser Extended Abstract Ist Online Publiziert Als Khdm-Report Zur Khdm Conference 2015.), 2015.
LibreCat
2012 | Journal Article | LibreCat-ID: 54322
Hesse, Kerstin, and Robert S. Womersley. “Numerical Integration with Polynomial Exactness over a Spherical Cap.” Advances in Computational Mathematics, vol. 36, 2012, pp. 451–83.
LibreCat
2011 | Journal Article | LibreCat-ID: 54323
Hesse, Kerstin. “Complexity of Numerical Integration over Spherical Caps in a Sobolev Space Setting.” Journal of Complexity, vol. 27, 2011, pp. 383–403.
LibreCat
2010 | Book Chapter | LibreCat-ID: 54337
Hesse, Kerstin, et al. “Numerical Integration on the Sphere.” Handbook of Geomathematics , edited by Willi Freeden et al., Springer Verlag, 2010, pp. 1187-1220.
LibreCat
2009 | Journal Article | LibreCat-ID: 54324
Hesse, Kerstin. “The S-Energy of Spherical Designs on S2.” Advances in Computational Mathematics, vol. 30, 2009, pp. 37–59.
LibreCat
2008 | Journal Article | LibreCat-ID: 54326
Hesse, Kerstin, and Quoc Thong Le Gia. “Local Radial Basis Function Approximation on the Sphere.” Bulletin of the Australian Mathematical Society, vol. 77, 2008, pp. 197–224.
LibreCat
2008 | Journal Article | LibreCat-ID: 54325
Hesse, Kerstin, and Paul Leopardi. “The Coulomb Energy of Spherical Designs on S2.” Advances in Computational Mathematics, vol. 28, 2008, pp. 331–54.
LibreCat
2007 | Journal Article | LibreCat-ID: 54328
Hesse, Kerstin, et al. “A Component-by-Component Approach to Efficient Numerical Integration over Products of Spheres.” Journal of Complexity, vol. 23, 2007, pp. 25–51.
LibreCat
2007 | Journal Article | LibreCat-ID: 54327
Hesse, Kerstin, et al. “Quadrature in Besov Spaces on the Euclidean Sphere.” Journal of Complexity, vol. 23, 2007, pp. 528–52.
LibreCat
2007 | Journal Article | LibreCat-ID: 54330
Hesse, Kerstin, and Joann S. Brauchart. “Numerical Integration over Spheres of Arbitrary Dimension.” Constructive Approximation, vol. 25, 2007, pp. 41–71.
LibreCat
2006 | Journal Article | LibreCat-ID: 54331
Hesse, Kerstin. “A Lower Bound for the Worst-Case Cubature Error on Spheres of Arbitrary Dimension.” Numerische Mathematik, vol. 103, 2006, pp. 413–33.
LibreCat
2006 | Book Chapter | LibreCat-ID: 54338
Hesse, Kerstin, and Ian H. Sloan. “Hyperinterpolation on the Sphere.” Frontiers in Interpolation and Approximation (Dedicated to the Memory of Ambikeshwar Sharma), edited by N. K. Govil et al., Chapman & Hall/CRC, 2006, pp. 213–48.
LibreCat
2006 | Journal Article | LibreCat-ID: 54332
Hesse, Kerstin, and Ian H. Sloan. “Cubature over the Sphere S2 in Sobolev Spaces of Arbitrary Order.” Journal of Approximation Theory, vol. 141, 2006, pp. 118–33.
LibreCat
2005 | Book Chapter | LibreCat-ID: 54339
Hesse, Kerstin, and Ian H. Sloan. “Optimal Order Integration on the Sphere.” Frontiers and Prospects of Contemporary Applied Mathematics, edited by Tatsien Li and Pingwen Zhang, Higher Education Press und World Scientific, 2005, pp. 59–70.
LibreCat
2005 | Journal Article | LibreCat-ID: 54334
Hesse, Kerstin, and Ian H. Sloan. “Worst-Case Errors in a Sobolev Space Setting for Cubature over the Sphere S2.” Bulletin of the Australian Mathematical Society, vol. 71, 2005, pp. 81–105.
LibreCat
2005 | Journal Article | LibreCat-ID: 54333
Hesse, Kerstin, and Ian H. Sloan. “Optimal Lower Bounds for Cubature Error on the Sphere S2.” Journal of Complexity, vol. 21, 2005, pp. 790–803.
LibreCat
2004 | Journal Article | LibreCat-ID: 54336
Hesse, Kerstin, and Ian H. Sloan. “High-Order Numerical Integration on the Sphere and Extremal Point Systems.” Journal of Computational Technologies, vol. 9, 2004, pp. 4–12.
LibreCat
2002 | Journal Article | LibreCat-ID: 54335
Hesse, Kerstin, and Willi Freeden. “On the Multiscale Solution of Satellite Problems by Use of Locally Supported Kernel Functions Corresponding to Equidistributed Data on Spherical Orbits.” Studia Scientiarum Mathematicarum Hungarica, vol. 39, 2002, pp. 37–74.
LibreCat
2002 | Dissertation | LibreCat-ID: 54375
Hesse, Kerstin. Domain Decomposition Methods in Multiscale Geopotential Determination from SST and SGG. Veröffentlicht beim Shaker Verlag, 2002.
LibreCat
1998 | Dissertation | LibreCat-ID: 54376
Hesse, Kerstin. Wachstumsverhalten von Lösungen der $\overline{\partial}$-Gleichung auf Pseudo-Siegel-Gebieten. 1998.
LibreCat
25 Publications
2022 | Journal Article | LibreCat-ID: 34633
Hesse, Kerstin, and Quoc Thong Le Gia. “L_2 Error Estimates for Polynomial Discrete Penalized Least-Squares Approximation on the Sphere from Noisy Data.” Journal of Computational and Applied Mathematics, vol. 408, 114118, Elsevier BV, 2022, doi:10.1016/j.cam.2022.114118.
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 34629
Hesse, Kerstin, et al. “Local RBF-Based Penalized Least-Squares Approximation on the Sphere with Noisy Scattered Data.” Journal of Computational and Applied Mathematics, vol. 382, 113061, Elsevier BV, 2021, doi:10.1016/j.cam.2020.113061.
LibreCat
| DOI
2020 | Book Chapter | LibreCat-ID: 34632
Hesse, Kerstin. “RBF-Based Penalized Least-Squares Approximation of Noisy Scattered Data on the Sphere.” Multivariate Algorithms and Information-Based Complexity, edited by Fred J. Hickernell and Peter Kritzer, De Gruyter, 2020, pp. 33–42.
LibreCat
2017 | Journal Article | LibreCat-ID: 34631
Hesse, Kerstin, et al. “Radial Basis Function Approximation of Noisy Scattered Data on the Sphere.” Numerische Mathematik, vol. 137, no. 3, Springer Science and Business Media LLC, 2017, pp. 579–605, doi:10.1007/s00211-017-0886-6.
LibreCat
| DOI
2016 | Conference Paper | LibreCat-ID: 54340
Hesse, Kerstin. “Neugestaltung Der ‘Höheren Mathematik A, B Und C Für Elektrotechniker’ -- Nutzung Der Lehrmaterialien Durch Studierende.” 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) , edited by Walther Paravicini and Jörn Schnieder, WTM-Verlag, 2016, pp. 86–102.
LibreCat
2015 | Conference Paper | LibreCat-ID: 54341
Hesse, Kerstin. “Online Tests for Evaluating Learning Success.” Extended Abstract Der Khdm Conference 2015, 8 Seiten. (Dieser Extended Abstract Ist Online Publiziert Als Khdm-Report Zur Khdm Conference 2015.), 2015.
LibreCat
2012 | Journal Article | LibreCat-ID: 54322
Hesse, Kerstin, and Robert S. Womersley. “Numerical Integration with Polynomial Exactness over a Spherical Cap.” Advances in Computational Mathematics, vol. 36, 2012, pp. 451–83.
LibreCat
2011 | Journal Article | LibreCat-ID: 54323
Hesse, Kerstin. “Complexity of Numerical Integration over Spherical Caps in a Sobolev Space Setting.” Journal of Complexity, vol. 27, 2011, pp. 383–403.
LibreCat
2010 | Book Chapter | LibreCat-ID: 54337
Hesse, Kerstin, et al. “Numerical Integration on the Sphere.” Handbook of Geomathematics , edited by Willi Freeden et al., Springer Verlag, 2010, pp. 1187-1220.
LibreCat
2009 | Journal Article | LibreCat-ID: 54324
Hesse, Kerstin. “The S-Energy of Spherical Designs on S2.” Advances in Computational Mathematics, vol. 30, 2009, pp. 37–59.
LibreCat
2008 | Journal Article | LibreCat-ID: 54326
Hesse, Kerstin, and Quoc Thong Le Gia. “Local Radial Basis Function Approximation on the Sphere.” Bulletin of the Australian Mathematical Society, vol. 77, 2008, pp. 197–224.
LibreCat
2008 | Journal Article | LibreCat-ID: 54325
Hesse, Kerstin, and Paul Leopardi. “The Coulomb Energy of Spherical Designs on S2.” Advances in Computational Mathematics, vol. 28, 2008, pp. 331–54.
LibreCat
2007 | Journal Article | LibreCat-ID: 54328
Hesse, Kerstin, et al. “A Component-by-Component Approach to Efficient Numerical Integration over Products of Spheres.” Journal of Complexity, vol. 23, 2007, pp. 25–51.
LibreCat
2007 | Journal Article | LibreCat-ID: 54327
Hesse, Kerstin, et al. “Quadrature in Besov Spaces on the Euclidean Sphere.” Journal of Complexity, vol. 23, 2007, pp. 528–52.
LibreCat
2007 | Journal Article | LibreCat-ID: 54330
Hesse, Kerstin, and Joann S. Brauchart. “Numerical Integration over Spheres of Arbitrary Dimension.” Constructive Approximation, vol. 25, 2007, pp. 41–71.
LibreCat
2006 | Journal Article | LibreCat-ID: 54331
Hesse, Kerstin. “A Lower Bound for the Worst-Case Cubature Error on Spheres of Arbitrary Dimension.” Numerische Mathematik, vol. 103, 2006, pp. 413–33.
LibreCat
2006 | Book Chapter | LibreCat-ID: 54338
Hesse, Kerstin, and Ian H. Sloan. “Hyperinterpolation on the Sphere.” Frontiers in Interpolation and Approximation (Dedicated to the Memory of Ambikeshwar Sharma), edited by N. K. Govil et al., Chapman & Hall/CRC, 2006, pp. 213–48.
LibreCat
2006 | Journal Article | LibreCat-ID: 54332
Hesse, Kerstin, and Ian H. Sloan. “Cubature over the Sphere S2 in Sobolev Spaces of Arbitrary Order.” Journal of Approximation Theory, vol. 141, 2006, pp. 118–33.
LibreCat
2005 | Book Chapter | LibreCat-ID: 54339
Hesse, Kerstin, and Ian H. Sloan. “Optimal Order Integration on the Sphere.” Frontiers and Prospects of Contemporary Applied Mathematics, edited by Tatsien Li and Pingwen Zhang, Higher Education Press und World Scientific, 2005, pp. 59–70.
LibreCat
2005 | Journal Article | LibreCat-ID: 54334
Hesse, Kerstin, and Ian H. Sloan. “Worst-Case Errors in a Sobolev Space Setting for Cubature over the Sphere S2.” Bulletin of the Australian Mathematical Society, vol. 71, 2005, pp. 81–105.
LibreCat
2005 | Journal Article | LibreCat-ID: 54333
Hesse, Kerstin, and Ian H. Sloan. “Optimal Lower Bounds for Cubature Error on the Sphere S2.” Journal of Complexity, vol. 21, 2005, pp. 790–803.
LibreCat
2004 | Journal Article | LibreCat-ID: 54336
Hesse, Kerstin, and Ian H. Sloan. “High-Order Numerical Integration on the Sphere and Extremal Point Systems.” Journal of Computational Technologies, vol. 9, 2004, pp. 4–12.
LibreCat
2002 | Journal Article | LibreCat-ID: 54335
Hesse, Kerstin, and Willi Freeden. “On the Multiscale Solution of Satellite Problems by Use of Locally Supported Kernel Functions Corresponding to Equidistributed Data on Spherical Orbits.” Studia Scientiarum Mathematicarum Hungarica, vol. 39, 2002, pp. 37–74.
LibreCat
2002 | Dissertation | LibreCat-ID: 54375
Hesse, Kerstin. Domain Decomposition Methods in Multiscale Geopotential Determination from SST and SGG. Veröffentlicht beim Shaker Verlag, 2002.
LibreCat
1998 | Dissertation | LibreCat-ID: 54376
Hesse, Kerstin. Wachstumsverhalten von Lösungen der $\overline{\partial}$-Gleichung auf Pseudo-Siegel-Gebieten. 1998.
LibreCat