A Comparison of Popular Point Configurations on $\mathbb{S}^2$

DOI10.14658/pupj-drna-2016-1-2zbMath1370.31001arXiv1607.04590MaRDI QIDQ5355359

T. J. Michaels, Edward B. Saff, Douglas P. Hardin

Publication date: 7 September 2017

Full work available at URL: https://arxiv.org/abs/1607.04590

Mathematics Subject Classification ID

Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (21)

Transport schemes in spherical geometries using spline-based RBF-FD with polynomials ⋮ Spherical cap discrepancy of the diamond ensemble ⋮ The Diamond ensemble: a constructive set of spherical points with small logarithmic energy ⋮ On the logarithmic energy of points on \(\mathbb{S}^2\) ⋮ Uniform approximation on the sphere by least squares polynomials ⋮ A discrete Funk transform on the cubed sphere ⋮ Low-energy points on the sphere and the real projective plane ⋮ Equidistributed icosahedral configurations on the sphere ⋮ Energy of the Coulomb gas on the sphere at low temperature ⋮ Unnamed Item ⋮ A time-efficient variable shape parameter Kansa-radial basis function method for the solution of nonlinear boundary value problems ⋮ Functional penalised basis pursuit on spheres ⋮ Unnamed Item ⋮ Kansa RBF collocation method with auxiliary boundary centres for high order BVPs ⋮ Optimal Monte Carlo integration on closed manifolds ⋮ A maximal energy pointset configuration problem ⋮ Structured iterative hard thresholding with on- and off-grid applications ⋮ A fast and accurate algorithm for spherical harmonic analysis on HEALPix grids with applications to the cosmic microwave background radiation ⋮ Fast Variable Density 3-D Node Generation ⋮ Efficient method for solving the Boltzmann equation on a uniform mesh ⋮ Compressed sensing in the spherical near-field to far-field transformation

This page was built for publication: A Comparison of Popular Point Configurations on $\mathbb{S}^2$