Well Conditioned Spherical Designs for Integration and Interpolation on the Two-Sphere

DOI10.1137/100795140zbMath1232.65043OpenAlexW2037136632MaRDI QIDQ3021284

Robert S. Womersley, Xiaojun Chen, Congpei An, Ian H. Sloan

Publication date: 22 July 2011

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10397/6097

zbMATH Keywords

interpolationnumerical examplenumerical integrationspherical designfundamental systemLebesgue constantinterval methodmesh normmaximum determinant

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Interval and finite arithmetic (65G30) Numerical interpolation (65D05) Numerical quadrature and cubature formulas (65D32)

Related Items (19)

A smoothing trust region filter algorithm for nonsmooth least squares problems ⋮ Spherical $t_\epsilon $-designs for approximations on the sphere ⋮ Stable Likelihood Computation for Gaussian Random Fields ⋮ Spherical Framelets from Spherical Designs ⋮ Bypassing the quadrature exactness assumption of hyperinterpolation on the sphere ⋮ A discrete Funk transform on the cubed sphere ⋮ Is hyperinterpolation efficient in the approximation of singular and oscillatory functions? ⋮ Explicit Families of Functions on the Sphere with Exactly Known Sobolev Space Smoothness ⋮ Comparison of probabilistic and deterministic point sets on the sphere ⋮ Well-separated spherical designs ⋮ Spherical Designs and Nonconvex Minimization for Recovery of Sparse Signals on the Sphere ⋮ Quadrature rules with neighborhood of spherical designs on the two-sphere ⋮ Numerical construction of spherical \(t\)-designs by Barzilai-Borwein method ⋮ Numerical computation of triangular complex spherical designs with small mesh ratio ⋮ Eigenvalues of Random Matrices with Isotropic Gaussian Noise and the Design of Diffusion Tensor Imaging Experiments ⋮ On the quadrature exactness in hyperinterpolation ⋮ Lasso Hyperinterpolation Over General Regions ⋮ Distributing many points on spheres: minimal energy and designs ⋮ Near-optimal polynomial interpolation on spherical triangles

Uses Software

• QSHEP3D
• INTLAB

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