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 

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 

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.

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 

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.

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.).

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

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

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.

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

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

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

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.

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

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

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

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.

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

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

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