Article

Hesse, Kerstin and Womersley, Robert S (2012) Numerical integration with polynomial exactness over a spherical cap. Advances in Computational Mathematics, 36 (3). pp. 451-483. ISSN 1019-7168

Hesse, Kerstin (2011) Complexity of numerical integration over spherical caps in a Sobolev space setting. Journal of Complexity, 27 (3-4). pp. 383-403. ISSN 0885-064X

Hesse, Kerstin (2009) The s-energy of spherical designs on S-2. Advances in Computational Mathematics, 30 (1). pp. 37-59. ISSN 1019-7168

Hesse, Kerstin and Le Gia, Q T (2008) Local radial basis function approximation on the sphere. Bulletin of the Australian Mathematical Society, 77 (2). pp. 197-224. ISSN 0004-9727

Hesse, Kerstin and Leopardi, Paul (2008) The Coulomb energy of spherical designs on S2. Advances in Computational Mathematics, 28 (4). pp. 331-354. ISSN 1019-7168

Hesse, K, Mhaskar, H N and Sloan, I H (2007) Quadrature in Besov spaces on the Euclidean sphere. Journal of Complexity, 23 (4-6). pp. 528-552. ISSN 0885-064X

Hesse, Kerstin, Kuo, Frances Y and Sloan, Ian H (2007) A component-by-component approach to efficient numerical integration over products of spheres. Journal of Complexity, 23 (1). pp. 25-51. ISSN 0885-064X

Brauchart, Johann S and Hesse, Kerstin (2007) Numerical integration over spheres of arbitrary dimension. Constructive Approximation, 25 (1). pp. 41-71. ISSN 0176-4276

Hesse, Kerstin and Sloan, Ian H (2006) Cubature over the sphere S2 in Sobolev spaces of arbitrary order. Journal of Approximation Theory, 141 (2). pp. 118-133. ISSN 0021-9045

Hesse, Kerstin (2006) A lower bound for the worst-case cubature error on spheres of arbitrary dimension. Numerische Mathematik, 103 (3). pp. 413-433. ISSN 0029-599X

Hesse, Kerstin and Sloan, Ian H (2005) Optimal lower bounds for cubature error on the sphere S2. Journal of Complexity, 21 (6). pp. 790-803. ISSN 0885-064X

Hesse, Kerstin and Sloan, Ian H (2005) Worst-case errors in a Sobolev space setting for cubature over the sphere $S^2$. Bulletin of the Australian Mathematical Society, 71 (1). pp. 81-105. ISSN 0004-9727

Hesse, K and Sloan, I H (2004) High-order numerical integration on the sphere and extremal point systems. Journal of Computational Technologies, 9. pp. 4-12. ISSN 1560-7534

Freeden, W and Hesse, K (2002) On the multiscale solution of satellite problems by use of locally supported kernel functions corresponding to equidistributed data on spherical orbits. Studia Scientiarum Mathematicarum Hungarica, 39 (1-2). pp. 37-74. ISSN 0081-6906

Book Section

Hesse, Kerstin and Sloan, Ian H (2006) Hyperinterpolation on the sphere. In: Govil, N K, Mhaskar, H N, Mohapatra, Ram N, Nashed, Zuhair and Szabados, J (eds.) Frontiers in Interpolation and Approximation (Dedicated to the memory of Ambikeshwar Sharma). Chapman & Hall/CRC, pp. 213-248. ISBN 978-1-584-88636-5

Hesse, Kerstin and Sloan, Ian H (2006) Optimal order integration on the sphere. In: Li, T and Zhang, P (eds.) Frontiers and Prospects on Contemporary Applied Mathematics. Higher Education Press and World Scientific, pp. 59-70. ISBN 978-7-040-18575-1

Book

Hesse, Kerstin (2003) Domain decomposition methods in multiscale geopotential determination from SST and SGG. Berichte aus der Mathematik . Shaker Verlag. ISBN 9783832210946