Approximation on the sphere using radial basis functions plus polynomials

DOI10.1007/s10444-007-9048-1zbMath1148.41020OpenAlexW2080261710MaRDI QIDQ937043

Alvise Sommariva, Ian H. Sloan

Publication date: 20 August 2008

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-007-9048-1

zbMATH Keywords

Radial basis functionsError estimateScattered dataSpherical harmonics

Mathematics Subject Classification ID

Approximation by other special function classes (41A30) Numerical integration (65D30)

Related Items (12)

Boundary integral equations on the sphere with radial basis functions: Error analysis ⋮ Multiscale interpolation on the sphere: convergence rate and inverse theorem ⋮ Error estimation for the invariant scheme of charge simulation method on a disc with scattered points ⋮ Stability and preconditioning for a hybrid approximation on the sphere ⋮ Achieving accuracy and efficiency in spherical modelling of real data ⋮ Local uniform error estimates for spherical basis functions interpolation ⋮ Ghost point method using RBFs and polynomial basis functions ⋮ Spherical data fitting by multiscale moving least squares ⋮ Fast and accurate interpolation of large scattered data sets on the sphere ⋮ Inf-sup condition for spherical polynomials and radial basis functions on spheres ⋮ Natural Preconditioning and Iterative Methods for Saddle Point Systems ⋮ Numerical Quadrature over the Surface of a Sphere

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniform approximation by spherical spline interpolation
• Multivariate polynomial approximation
• \(L_{p}\)-error estimates for radial basis function interpolation on the sphere
• Positive definite functions on spheres
• Spline Interpolation and Smoothing on the Sphere
• On spherical spline interpolation and approximation
• Strictly Positive Definite Functions on Spheres
• Improved error bounds for scattered data interpolation by radial basis functions
• Error estimates for scattered data interpolation on spheres
• A necessary and sufficient condition for strictly positive definite functions on spheres
• Scattered Data Approximation
• Interpolation by polynomials and radial basis functions on spheres

This page was built for publication: Approximation on the sphere using radial basis functions plus polynomials