A stable algorithm for divergence-free radial basis functions in the flat limit

DOI10.1016/j.jcp.2020.109595zbMath1437.65009arXiv2001.04557OpenAlexW3031488332MaRDI QIDQ782042

Grady B. Wright, Kathryn P. Drake

Publication date: 21 July 2020

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.04557

zbMATH Keywords

sphereradial basis functionsill-conditioningshape parameterdivergence-freeRBFQR

Mathematics Subject Classification ID

Numerical interpolation (65D05) Numerical radial basis function approximation (65D12)

Related Items (1)

A Partition of Unity Method for Divergence-Free or Curl-Free Radial Basis Function Approximation

Uses Software

• Matlab
• rbf_qr

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stable calculation of Gaussian-based RBF-FD stencils
• Spherical harmonics and approximations on the unit sphere. An introduction
• Stable computations with flat radial basis functions using vector-valued rational approximations
• Stable computation of multiquadric interpolants for all values of the shape parameter
• Divergence-free RBFs on surfaces
• Spherical harmonics
• Stable Evaluation of Gaussian Radial Basis Function Interpolants
• Error and stability estimates for surface-divergence free RBF interpolants on the sphere
• Stability and Error Estimates for Vector Field Interpolation and Decomposition on the Sphere with RBFs
• Stable Computations with Gaussian Radial Basis Functions
• Modeling Tangential Vector Fields on a Sphere
• Sobolev-type approximation rates for divergence-free and curl-free RBF interpolants
• A Stable Algorithm for Flat Radial Basis Functions on a Sphere
• Equidistribution on the Sphere
• Stable Interpolation with Isotropic and Anisotropic Gaussians Using Hermite Generating Function

This page was built for publication: A stable algorithm for divergence-free radial basis functions in the flat limit