Radial basis function interpolation in the limit of increasingly flat basis functions
From MaRDI portal
Publication:729382
DOI10.1016/j.jcp.2015.12.015zbMath1351.41013OpenAlexW2216485242MaRDI QIDQ729382
Pedro Gonzalez-Rodriguez, Manuel Kindelan, Miguel Moscoso
Publication date: 20 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2015.12.015
Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Approximation by other special function classes (41A30)
Related Items
A closed-form formula for the RBF-based approximation of the Laplace-Beltrami operator, An improved radial basis-pseudospectral method with hybrid Gaussian-cubic kernels, Fast calculation of Laurent expansions for matrix inverses, A stabilized radial basis-finite difference (RBF-FD) method with hybrid kernels, Hybrid Gaussian-cubic radial basis functions for scattered data interpolation, A kernel-based discretisation method for first order partial differential equations, A refined moving particle pressure mesh (MPPM) method for solving incompressible Navier-Stokes equations, Numerical solution of space-time fractional PDEs using RBF-QR and Chebyshev polynomials
Uses Software
Cites Work
- Unnamed Item
- On convergence of flat multivariate interpolation by translation kernels with finite smoothness
- Stable calculation of Gaussian-based RBF-FD stencils
- Radial basis functions: developments and applications to planetary scale flows
- Interpolation of scattered data: distance matrices and conditionally positive definite functions
- RBF-FD formulas and convergence properties
- An alternative procedure for selecting a good value for the parameter \(c\) in RBF-interpolation
- Laurent expansion of the inverse of perturbed, singular matrices
- A study on multivariate interpolation by increasingly flat kernel functions
- Some observations regarding interpolants in the limit of flat radial basis functions
- Interpolation in the limit of increasingly flat radial basis functions
- Laurent series based RBF-FD method to avoid ill-conditioning
- Stable computation of multiquadric interpolants for all values of the shape parameter
- On optimization of the RBF shape parameter in a grid-free local scheme for convection dominated problems over non-uniform centers
- An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
- On the selection of a good value of shape parameter in solving time-dependent partial differential equations using RBF approximation method
- Rotational transport on a sphere: local node refinement with radial basis functions
- The parameter \(R^ 2\) in multiquadric interpolation
- Multivariate interpolation by polynomials and radial basis functions
- On choosing ``optimal shape parameters for RBF approximation
- Limits of radial basis function interpolants
- Limit problems for interpolation by analytic radial basis functions
- Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions
- Scattered node compact finite difference-type formulas generated from radial basis functions
- Stable Evaluation of Gaussian Radial Basis Function Interpolants
- Stable Computations with Gaussian Radial Basis Functions
- Numerical experiments on optimal shape parameters for radial basis functions
- A Stable Algorithm for Flat Radial Basis Functions on a Sphere
- Local error estimates for radial basis function interpolation of scattered data
- Convergence of Increasingly Flat Radial Basis Interpolants to Polynomial Interpolants