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22 Publications
2022 | Journal Article | LibreCat-ID: 34633
Hesse, K., & Le Gia, Q. T. (2022). L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data. Journal of Computational and Applied Mathematics, 408, Article 114118. https://doi.org/10.1016/j.cam.2022.114118
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| DOI
2021 | Journal Article | LibreCat-ID: 34629
Hesse, K., Sloan, I. H., & Womersley, R. S. (2021). Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data. Journal of Computational and Applied Mathematics, 382, Article 113061. https://doi.org/10.1016/j.cam.2020.113061
LibreCat
| DOI
2020 | Book Chapter | LibreCat-ID: 34632
Hesse, K. (2020). RBF-based penalized least-squares approximation of noisy scattered data on the sphere. In F. J. Hickernell & P. Kritzer (Eds.), Multivariate Algorithms and Information-Based Complexity (pp. 33–42). De Gruyter.
LibreCat
2017 | Journal Article | LibreCat-ID: 34631
Hesse, K., Sloan, I. H., & Womersley, R. S. (2017). Radial basis function approximation of noisy scattered data on the sphere. Numerische Mathematik, 137(3), 579–605. https://doi.org/10.1007/s00211-017-0886-6
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| DOI
2016 | Conference Paper | LibreCat-ID: 54340
Hesse, K. (2016). Neugestaltung der “Höheren Mathematik A, B und C für Elektrotechniker” -- Nutzung der Lehrmaterialien durch Studierende. In W. Paravicini & J. Schnieder (Eds.), 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) (pp. 86–102). WTM-Verlag.
LibreCat
2015 | Conference Paper | LibreCat-ID: 54341
Hesse, K. (2015). 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.).
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2012 | Journal Article | LibreCat-ID: 54322
Hesse, K., & Womersley, R. S. (2012). Numerical integration with polynomial exactness over a spherical cap. Advances in Computational Mathematics, 36, 451–483.
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2011 | Journal Article | LibreCat-ID: 54323
Hesse, K. (2011). Complexity of numerical integration over spherical caps in a Sobolev space setting. Journal of Complexity, 27, 383–403.
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2010 | Book Chapter | LibreCat-ID: 54337
Hesse, K., H. Sloan, I., & S. Womersley, Robert . (2010). Numerical integration on the sphere. In W. Freeden, Z. Nashed , & T. Sonar (Eds.), Handbook of Geomathematics (pp. 1187-1220.). Springer Verlag.
LibreCat
2009 | Journal Article | LibreCat-ID: 54324
Hesse, K. (2009). The s-energy of spherical designs on S2. Advances in Computational Mathematics, 30, 37–59.
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2008 | Journal Article | LibreCat-ID: 54326
Hesse, K., & Thong Le Gia, Q. (2008). Local radial basis function approximation on the sphere. Bulletin of the Australian Mathematical Society, 77, 197–224.
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2008 | Journal Article | LibreCat-ID: 54325
Hesse, K., & Leopardi, P. (2008). The Coulomb energy of spherical designs on S2. Advances in Computational Mathematics, 28, 331–354.
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2007 | Journal Article | LibreCat-ID: 54327
Hesse, K., N Mhaskar, H., & H. Sloan, I. (2007). Quadrature in Besov spaces on the Euclidean sphere. Journal of Complexity, 23(23), 528–552.
LibreCat
2007 | Journal Article | LibreCat-ID: 54328
Hesse, K., Y. Kuo, F., & H. Sloan, I. (2007). A component-by-component approach to efficient numerical integration over products of spheres. Journal of Complexity, 23, 25–51.
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2007 | Journal Article | LibreCat-ID: 54330
Hesse, K., & S. Brauchart, J. (2007). Numerical integration over spheres of arbitrary dimension. Constructive Approximation, 25, 41–71.
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2006 | Book Chapter | LibreCat-ID: 54338
Hesse, K., & H. Sloan, I. (2006). Hyperinterpolation on the sphere. In N. K. Govil, H. N. Mhaskar, R. N. Mohapatra, Z. Nashed , & J. Szabados (Eds.), Frontiers in Interpolation and Approximation (Dedicated to the Memory of Ambikeshwar Sharma) (pp. 213–248). Chapman & Hall/CRC.
LibreCat
2006 | Journal Article | LibreCat-ID: 54331
Hesse, K. (2006). A lower bound for the worst-case cubature error on spheres of arbitrary dimension. Numerische Mathematik, 103, 413–433.
LibreCat
2006 | Journal Article | LibreCat-ID: 54332
Hesse, K., & H. Sloan, I. (2006). Cubature over the sphere S2 in Sobolev spaces of arbitrary order. Journal of Approximation Theory, 141, 118–133.
LibreCat
2005 | Journal Article | LibreCat-ID: 54334
Hesse, K., & H. Sloan, I. (2005). Worst-case errors in a Sobolev space setting for cubature over the sphere S2. Bulletin of the Australian Mathematical Society, 71, 81–105.
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2005 | Journal Article | LibreCat-ID: 54333
Hesse, K., & H. Sloan, I. (2005). Optimal lower bounds for cubature error on the sphere S2. Journal of Complexity, 21, 790–803.
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