Optimal lower bounds for cubature error on the sphere S2. - Kerstin Hesse; Ian H. Sloan (J. Complex., 2005)

Cubature over the sphere S2 in Sobolev spaces of arbitrary order. - Kerstin Hesse; Ian H. Sloan (J. Approx. Theory, 2006)

A lower bound for the worst-case cubature error on spheres of arbitrary dimension. - Kerstin Hesse (Numerische Mathematik, 2006)

A component-by-component approach to efficient numerical integration over products of spheres. - Kerstin Hesse; Frances Y. Kuo; Ian H. Sloan (J. Complex., 2007)

Quadrature in Besov spaces on the Euclidean sphere. - Kerstin Hesse; Hrushikesh N. Mhaskar; Ian H. Sloan (J. Complex., 2007)

The Coulomb energy of spherical designs on S 2. - Kerstin Hesse; Paul C. Leopardi (Adv. Comput. Math., 2008)

The s -energy of spherical designs on S 2. - Kerstin Hesse (Adv. Comput. Math., 2009)

Complexity of numerical integration over spherical caps in a Sobolev space setting. - Kerstin Hesse (J. Complex., 2011)

Numerical integration with polynomial exactness over a spherical cap. - Kerstin Hesse; Robert S. Womersley (Adv. Comput. Math., 2012)

Radial basis function approximation of noisy scattered data on the sphere. - Kerstin Hesse; Ian H. Sloan; Robert S. Womersley (Numerische Mathematik, 2017)

Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data. - Kerstin Hesse; Ian H. Sloan; Robert S. Womersley (J. Comput. Appl. Math., 2021)

L2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data. - Kerstin Hesse; Quoc Thong Le Gia (J. Comput. Appl. Math., 2022)