L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data
K. Hesse, Q.T. Le Gia, Journal of Computational and Applied Mathematics 408 (2022).
LibreCat: /record/34633
DOI: 10.1016/j.cam.2022.114118

Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data
K. Hesse, I.H. Sloan, R.S. Womersley, Journal of Computational and Applied Mathematics 382 (2021).
LibreCat: /record/34629
DOI: 10.1016/j.cam.2020.113061

RBF-based penalized least-squares approximation of noisy scattered data on the sphere
K. Hesse, in: F.J. Hickernell, P. Kritzer (Eds.), Multivariate Algorithms and Information-Based Complexity, De Gruyter, Berlin/Boston, 2020, pp. 33–42.
LibreCat: /record/34632

Radial basis function approximation of noisy scattered data on the sphere
K. Hesse, I.H. Sloan, R.S. Womersley, Numerische Mathematik 137 (2017) 579–605.
LibreCat: /record/34631
DOI: 10.1007/s00211-017-0886-6

Neugestaltung der "Höheren Mathematik A, B und C für Elektrotechniker" -- Nutzung der Lehrmaterialien durch Studierende
K. Hesse, 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) , WTM-Verlag, 2016, pp. 86–102.
LibreCat: /record/54340

Online Tests for Evaluating Learning Success
K. Hesse, in: Extended Abstract Der Khdm Conference 2015, 8 Seiten. (Dieser Extended Abstract Ist Online Publiziert Als Khdm-Report Zur Khdm Conference 2015.), 2015.
LibreCat: /record/54341

Numerical integration with polynomial exactness over a spherical cap
K. Hesse, R. S. Womersley, Advances in Computational Mathematics 36 (2012) 451–483.
LibreCat: /record/54322

Complexity of numerical integration over spherical caps in a Sobolev space setting
K. Hesse, Journal of Complexity 27 (2011) 383–403.
LibreCat: /record/54323

Numerical integration on the sphere
K. Hesse, I. H. Sloan,  Robert  S. Womersley, in: W. Freeden, Z. Nashed , T. Sonar (Eds.), Handbook of Geomathematics , Springer Verlag, 2010, pp. 1187-1220.
LibreCat: /record/54337

The s-energy of spherical designs on 
K. Hesse, Advances in Computational Mathematics 30 (2009) 37–59.
LibreCat: /record/54324

Local radial basis function approximation on the sphere
K. Hesse, Q. Thong Le Gia, Bulletin of the Australian Mathematical Society 77 (2008) 197–224.
LibreCat: /record/54326

The Coulomb energy of spherical designs on 
K. Hesse, P. Leopardi, Advances in Computational Mathematics 28 (2008) 331–354.
LibreCat: /record/54325

A component-by-component approach to efficient numerical integration over products of spheres
K. Hesse, F. Y. Kuo, I.  H. Sloan, Journal of Complexity 23 (2007) 25–51.
LibreCat: /record/54328

Quadrature in Besov spaces on the Euclidean sphere
K. Hesse, H. N  Mhaskar, I. H. Sloan, Journal of Complexity 23 (2007) 528–552.
LibreCat: /record/54327

Numerical integration over spheres of arbitrary dimension
K. Hesse, J. S. Brauchart, Constructive Approximation 25 (2007) 41–71.
LibreCat: /record/54330

A lower bound for the worst-case cubature error on spheres of arbitrary dimension
K. Hesse, Numerische Mathematik 103 (2006) 413–433.
LibreCat: /record/54331

Hyperinterpolation on the sphere
K. Hesse, I. H. Sloan, 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), Chapman &; Hall/CRC, 2006, pp. 213–248.
LibreCat: /record/54338

Cubature over the sphere  in Sobolev spaces of arbitrary order
K. Hesse, I. H. Sloan, Journal of Approximation Theory 141 (2006) 118–133.
LibreCat: /record/54332

Optimal order integration on the sphere
K. Hesse, I. H. Sloan, in: T. Li , P. Zhang (Eds.), Frontiers and Prospects of Contemporary Applied Mathematics, Higher Education Press und World Scientific, 2005, pp. 59–70.
LibreCat: /record/54339

Worst-case errors in a Sobolev space setting for cubature over the sphere 
K. Hesse, I. H. Sloan, Bulletin of the Australian Mathematical Society 71 (2005) 81–105.
LibreCat: /record/54334