K. Hesse and Q. T. Le Gia, “L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data,”10.1016/j.cam.2022.114118__Journal of Computational and Applied Mathematics, vol. 408, Art. no. 114118, 2022, doi:10.1016/j.cam.2022.114118 .

K. Hesse, I. H. Sloan, and R. S. Womersley, “Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data,”10.1016/j.cam.2020.113061__Journal of Computational and Applied Mathematics, vol. 382, Art. no. 113061, 2021, doi:10.1016/j.cam.2020.113061 .

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

K. Hesse, I. H. Sloan, and R. S. Womersley, “Radial basis function approximation of noisy scattered data on the sphere,”10.1007/s00211-017-0886-6__Numerische Mathematik, vol. 137, no. 3, pp. 579–605, 2017, doi:10.1007/s00211-017-0886-6 .

K. Hesse, “Neugestaltung der ‘Höheren Mathematik A, B und C für Elektrotechniker’ -- Nutzung der Lehrmaterialien durch Studierende,” in 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) , 2016, pp. 86–102.

K. Hesse, “Online Tests for Evaluating Learning Success,” 2015.

K. Hesse and R. S. Womersley, “Numerical integration with polynomial exactness over a spherical cap,” Advances in Computational Mathematics, vol. 36, pp. 451–483, 2012.

K. Hesse, “Complexity of numerical integration over spherical caps in a Sobolev space setting,” Journal of Complexity, vol. 27, pp. 383–403, 2011.

K. Hesse, I. H. Sloan, and  Robert  S. Womersley, “Numerical integration on the sphere,” in Handbook of Geomathematics , W. Freeden, Z. Nashed , and T. Sonar, Eds. Springer Verlag, 2010, pp. 1187-1220.

K. Hesse, “The s-energy of spherical designs on ,” Advances in Computational Mathematics, vol. 30, pp. 37–59, 2009.

K. Hesse and Q. Thong Le Gia, “Local radial basis function approximation on the sphere,” Bulletin of the Australian Mathematical Society, vol. 77, pp. 197–224, 2008.

K. Hesse and P. Leopardi, “The Coulomb energy of spherical designs on ,” Advances in Computational Mathematics, vol. 28, pp. 331–354, 2008.

K. Hesse, F. Y. Kuo, and I.  H. Sloan, “A component-by-component approach to efficient numerical integration over products of spheres,” Journal of Complexity, vol. 23, pp. 25–51, 2007.

K. Hesse, H. N  Mhaskar, and I. H. Sloan, “Quadrature in Besov spaces on the Euclidean sphere,” Journal of Complexity, vol. 23, pp. 528–552, 2007.

K. Hesse and J. S. Brauchart, “Numerical integration over spheres of arbitrary dimension,” Constructive Approximation, vol. 25, pp. 41–71, 2007.

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

K. Hesse and I. H. Sloan, “Hyperinterpolation on the sphere,” in Frontiers in Interpolation and Approximation (Dedicated to the Memory of Ambikeshwar Sharma), N. K. Govil, H. N. Mhaskar, R. N. Mohapatra, Z. Nashed , and J. Szabados, Eds. Chapman &; Hall/CRC, 2006, pp. 213–248.

K. Hesse and I. H. Sloan, “Cubature over the sphere  in Sobolev spaces of arbitrary order,” Journal of Approximation Theory, vol. 141, pp. 118–133, 2006.

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

K. Hesse and I. H. Sloan, “Worst-case errors in a Sobolev space setting for cubature over the sphere ,” Bulletin of the Australian Mathematical Society, vol. 71, pp. 81–105, 2005.