Please note that LibreCat no longer supports Internet Explorer versions 8 or 9 (or earlier).
We recommend upgrading to the latest Internet Explorer, Google Chrome, or Firefox.
25 Publications
2022 | Journal Article | LibreCat-ID: 34633
Hesse K, Le Gia QT. L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data. Journal of Computational and Applied Mathematics. 2022;408. doi:10.1016/j.cam.2022.114118
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 34629
Hesse K, Sloan IH, Womersley RS. Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data. Journal of Computational and Applied Mathematics. 2021;382. doi:10.1016/j.cam.2020.113061
LibreCat
| DOI
2020 | Book Chapter | LibreCat-ID: 34632
Hesse K. RBF-based penalized least-squares approximation of noisy scattered data on the sphere. In: Hickernell FJ, Kritzer P, eds. Multivariate Algorithms and Information-Based Complexity. De Gruyter; 2020:33-42.
LibreCat
2017 | Journal Article | LibreCat-ID: 34631
Hesse K, Sloan IH, Womersley RS. Radial basis function approximation of noisy scattered data on the sphere. Numerische Mathematik. 2017;137(3):579-605. doi:10.1007/s00211-017-0886-6
LibreCat
| DOI
2016 | Conference Paper | LibreCat-ID: 54340
Hesse K. Neugestaltung der “Höheren Mathematik A, B und C für Elektrotechniker” -- Nutzung der Lehrmaterialien durch Studierende. In: Paravicini W, Schnieder J, 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) . WTM-Verlag; 2016:86-102.
LibreCat
2015 | Conference Paper | LibreCat-ID: 54341
Hesse K. Online Tests for Evaluating Learning Success. In: 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 K, S. Womersley R. Numerical integration with polynomial exactness over a spherical cap. Advances in Computational Mathematics. 2012;36:451-483.
LibreCat
2011 | Journal Article | LibreCat-ID: 54323
Hesse K. Complexity of numerical integration over spherical caps in a Sobolev space setting. Journal of Complexity. 2011;27:383-403.
LibreCat
2010 | Book Chapter | LibreCat-ID: 54337
Hesse K, H. Sloan I, S. Womersley Robert . Numerical integration on the sphere. In: Freeden W, Nashed Z, Sonar T, eds. Handbook of Geomathematics . Springer Verlag; 2010:1187-1220.
LibreCat
2009 | Journal Article | LibreCat-ID: 54324
Hesse K. The s-energy of spherical designs on S2. Advances in Computational Mathematics. 2009;30:37-59.
LibreCat
2008 | Journal Article | LibreCat-ID: 54326
Hesse K, Thong Le Gia Q. Local radial basis function approximation on the sphere. Bulletin of the Australian Mathematical Society. 2008;77:197-224.
LibreCat
2008 | Journal Article | LibreCat-ID: 54325
Hesse K, Leopardi P. The Coulomb energy of spherical designs on S2. Advances in Computational Mathematics. 2008;28:331-354.
LibreCat
2007 | Journal Article | LibreCat-ID: 54328
Hesse K, Y. Kuo F, H. Sloan I. A component-by-component approach to efficient numerical integration over products of spheres. Journal of Complexity. 2007;23:25-51.
LibreCat
2007 | Journal Article | LibreCat-ID: 54327
Hesse K, N Mhaskar H, H. Sloan I. Quadrature in Besov spaces on the Euclidean sphere. Journal of Complexity. 2007;23:528-552.
LibreCat
2007 | Journal Article | LibreCat-ID: 54330
Hesse K, S. Brauchart J. Numerical integration over spheres of arbitrary dimension. Constructive Approximation. 2007;25:41-71.
LibreCat
2006 | Journal Article | LibreCat-ID: 54331
Hesse K. A lower bound for the worst-case cubature error on spheres of arbitrary dimension. Numerische Mathematik. 2006;103:413-433.
LibreCat
2006 | Book Chapter | LibreCat-ID: 54338
Hesse K, H. Sloan I. Hyperinterpolation on the sphere. In: Govil NK, Mhaskar HN, N. Mohapatra R, Nashed Z, Szabados J, eds. Frontiers in Interpolation and Approximation (Dedicated to the Memory of Ambikeshwar Sharma). Chapman & Hall/CRC; 2006:213-248.
LibreCat
2006 | Journal Article | LibreCat-ID: 54332
Hesse K, H. Sloan I. Cubature over the sphere S2 in Sobolev spaces of arbitrary order. Journal of Approximation Theory. 2006;141:118-133.
LibreCat
2005 | Book Chapter | LibreCat-ID: 54339
Hesse K, H. Sloan I. Optimal order integration on the sphere. In: Li T, Zhang P, eds. Frontiers and Prospects of Contemporary Applied Mathematics. Series in Contemporary Applied Mathematics CAM 6 . Higher Education Press und World Scientific; 2005:59-70.
LibreCat
2005 | Journal Article | LibreCat-ID: 54334
Hesse K, H. Sloan I. Worst-case errors in a Sobolev space setting for cubature over the sphere S2. Bulletin of the Australian Mathematical Society. 2005;71:81-105.
LibreCat