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25 Publications
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 77 (2008): 197–224.
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2008 | Journal Article | LibreCat-ID: 54325
Hesse, Kerstin, and Paul Leopardi. “The Coulomb Energy of Spherical Designs on S2.” Advances in Computational Mathematics 28 (2008): 331–54.
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2007 | Journal Article | LibreCat-ID: 54328
Hesse, Kerstin, Frances Y. Kuo, and Ian H. Sloan. “A Component-by-Component Approach to Efficient Numerical Integration over Products of Spheres.” Journal of Complexity 23 (2007): 25–51.
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2007 | Journal Article | LibreCat-ID: 54327
Hesse, Kerstin, Hrushikesh N Mhaskar, and Ian H. Sloan. “Quadrature in Besov Spaces on the Euclidean Sphere.” Journal of Complexity 23 (2007): 528–52.
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2007 | Journal Article | LibreCat-ID: 54330
Hesse, Kerstin, and Joann S. Brauchart. “Numerical Integration over Spheres of Arbitrary Dimension.” Constructive Approximation 25 (2007): 41–71.
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2006 | Journal Article | LibreCat-ID: 54331
Hesse, Kerstin. “A Lower Bound for the Worst-Case Cubature Error on Spheres of Arbitrary Dimension.” Numerische Mathematik 103 (2006): 413–33.
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2006 | Book Chapter | LibreCat-ID: 54338
Hesse, Kerstin, and Ian H. Sloan. “Hyperinterpolation on the Sphere.” In Frontiers in Interpolation and Approximation (Dedicated to the Memory of Ambikeshwar Sharma), edited by N. K. Govil, H. N. Mhaskar, Ram N. Mohapatra, Zuhair Nashed , and J Szabados, 213–48. Chapman & Hall/CRC, 2006.
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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 141 (2006): 118–33.
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2005 | Book Chapter | LibreCat-ID: 54339
Hesse, Kerstin, and Ian H. Sloan. “Optimal Order Integration on the Sphere.” In Frontiers and Prospects of Contemporary Applied Mathematics, edited by Tatsien Li and Pingwen Zhang, 59–70. Series in Contemporary Applied Mathematics CAM 6 . Higher Education Press und World Scientific, 2005.
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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 71 (2005): 81–105.
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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 21 (2005): 790–803.
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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 9 (2004): 4–12.
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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 39 (2002): 37–74.
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2002 | Dissertation | LibreCat-ID: 54375
Hesse, Kerstin. Domain Decomposition Methods in Multiscale Geopotential Determination from SST and SGG. Aachen: Veröffentlicht beim Shaker Verlag, 2002.
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1998 | Dissertation | LibreCat-ID: 54376
Hesse, Kerstin. Wachstumsverhalten von Lösungen der $\overline{\partial}$-Gleichung auf Pseudo-Siegel-Gebieten, 1998.
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