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).

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).

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.

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.

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.

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.

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

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

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.

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

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

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

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.

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

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

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

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.

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

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.

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.