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22 Publications
2022 | Journal Article | LibreCat-ID: 34633
K. Hesse and Q. T. 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, Art. no. 114118, 2022, doi: 10.1016/j.cam.2022.114118.
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| DOI
2021 | Journal Article | LibreCat-ID: 34629
K. Hesse, I. H. Sloan, and R. S. Womersley, “Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data,” Journal of Computational and Applied Mathematics, vol. 382, Art. no. 113061, 2021, doi: 10.1016/j.cam.2020.113061.
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| DOI
2020 | Book Chapter | LibreCat-ID: 34632
K. Hesse, “RBF-based penalized least-squares approximation of noisy scattered data on the sphere,” in Multivariate Algorithms and Information-Based Complexity, F. J. Hickernell and P. Kritzer, Eds. Berlin/Boston: De Gruyter, 2020, pp. 33–42.
LibreCat
2017 | Journal Article | LibreCat-ID: 34631
K. Hesse, I. H. Sloan, and R. S. Womersley, “Radial basis function approximation of noisy scattered data on the sphere,” Numerische Mathematik, vol. 137, no. 3, pp. 579–605, 2017, doi: 10.1007/s00211-017-0886-6.
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| DOI
2016 | Conference Paper | LibreCat-ID: 54340
K. Hesse, “Neugestaltung der ‘Höheren Mathematik A, B und C für Elektrotechniker’ -- Nutzung der Lehrmaterialien durch Studierende,” in 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) , 2016, pp. 86–102.
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2015 | Conference Paper | LibreCat-ID: 54341
K. Hesse, “Online Tests for Evaluating Learning Success,” 2015.
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2012 | Journal Article | LibreCat-ID: 54322
K. Hesse and R. S. Womersley, “Numerical integration with polynomial exactness over a spherical cap,” Advances in Computational Mathematics, vol. 36, pp. 451–483, 2012.
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2011 | Journal Article | LibreCat-ID: 54323
K. Hesse, “Complexity of numerical integration over spherical caps in a Sobolev space setting,” Journal of Complexity, vol. 27, pp. 383–403, 2011.
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2010 | Book Chapter | LibreCat-ID: 54337
K. Hesse, I. H. Sloan, and Robert S. Womersley, “Numerical integration on the sphere,” in Handbook of Geomathematics , W. Freeden, Z. Nashed , and T. Sonar, Eds. Springer Verlag, 2010, pp. 1187-1220.
LibreCat
2009 | Journal Article | LibreCat-ID: 54324
K. Hesse, “The s-energy of spherical designs on S2,” Advances in Computational Mathematics, vol. 30, pp. 37–59, 2009.
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2008 | Journal Article | LibreCat-ID: 54326
K. Hesse and Q. Thong Le Gia, “Local radial basis function approximation on the sphere,” Bulletin of the Australian Mathematical Society, vol. 77, pp. 197–224, 2008.
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2008 | Journal Article | LibreCat-ID: 54325
K. Hesse and P. Leopardi, “The Coulomb energy of spherical designs on S2,” Advances in Computational Mathematics, vol. 28, pp. 331–354, 2008.
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2007 | Journal Article | LibreCat-ID: 54327
K. Hesse, H. N Mhaskar, and I. H. Sloan, “Quadrature in Besov spaces on the Euclidean sphere,” Journal of Complexity, vol. 23, no. 23, pp. 528–552, 2007.
LibreCat
2007 | Journal Article | LibreCat-ID: 54328
K. Hesse, F. Y. Kuo, and I. H. Sloan, “A component-by-component approach to efficient numerical integration over products of spheres,” Journal of Complexity, vol. 23, pp. 25–51, 2007.
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2007 | Journal Article | LibreCat-ID: 54330
K. Hesse and J. S. Brauchart, “Numerical integration over spheres of arbitrary dimension,” Constructive Approximation, vol. 25, pp. 41–71, 2007.
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2006 | Book Chapter | LibreCat-ID: 54338
K. Hesse and I. H. Sloan, “Hyperinterpolation on the sphere,” in Frontiers in Interpolation and Approximation (Dedicated to the Memory of Ambikeshwar Sharma), N. K. Govil, H. N. Mhaskar, R. N. Mohapatra, Z. Nashed , and J. Szabados, Eds. Chapman & Hall/CRC, 2006, pp. 213–248.
LibreCat
2006 | Journal Article | LibreCat-ID: 54331
K. Hesse, “A lower bound for the worst-case cubature error on spheres of arbitrary dimension,” Numerische Mathematik, vol. 103, pp. 413–433, 2006.
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2006 | Journal Article | LibreCat-ID: 54332
K. Hesse and I. H. Sloan, “Cubature over the sphere S2 in Sobolev spaces of arbitrary order,” Journal of Approximation Theory, vol. 141, pp. 118–133, 2006.
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2005 | Journal Article | LibreCat-ID: 54334
K. Hesse and I. H. Sloan, “Worst-case errors in a Sobolev space setting for cubature over the sphere S2,” Bulletin of the Australian Mathematical Society, vol. 71, pp. 81–105, 2005.
LibreCat
2005 | Journal Article | LibreCat-ID: 54333
K. Hesse and I. H. Sloan, “Optimal lower bounds for cubature error on the sphere S2,” Journal of Complexity, vol. 21, pp. 790–803, 2005.
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