Fast radial basis function interpolation with Gaussians by localization and iteration

DOI10.1016/j.jcp.2009.03.007zbMath1168.65318OpenAlexW2092850129WikidataQ108784899 ScholiaQ108784899MaRDI QIDQ834050

Claudio E. Torres, Lorena A. Barba

Publication date: 19 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.03.007

zbMATH Keywords

interpolationradial basis functionsiterative methodsvortex methodparticle methodssum of Gaussians

Mathematics Subject Classification ID

Numerical interpolation (65D05)

Related Items

Global field interpolation for particle methods, The uselessness of the fast Gauss transform for summing Gaussian radial basis function series, Analysis and parallel implementation of a forced \(N\)-body problem, A level set method for topological shape optimization of 3D structures with extrusion constraints, PetRBF - A parallel \(O(N)\) algorithm for radial basis function interpolation with Gaussians, RBF-vortex methods for the barotropic vorticity equation on a sphere, Multivariate function approximations using the D-MORPH algorithm, Comparing seven spectral methods for interpolation and for solving the Poisson equation in a disk: Zernike polynomials, Logan-Shepp ridge polynomials, Chebyshev-Fourier series, cylindrical Robert functions, Bessel-Fourier expansions, square-to-disk conformal mapping and radial basis functions

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Unnamed Item
• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
• Global field interpolation for particle methods
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• A new vortex scheme for viscous flows
• Fast fitting of radial basis functions: Methods based on preconditioned GMRES iteration
• Fast Radial Basis Function Interpolation via Preconditioned Krylov Iteration
• Emergence and evolution of tripole vortices from net-circulation initial conditions
• Numerical Procedures for Surface Fitting of Scattered Data by Radial Functions
• Scattered Data Interpolation: Tests of Some Method
• Radial Basis Functions
• Advances in viscous vortex methods?meshless spatial adaption based on radial basis function interpolation
• A Krylov subspace algorithm for multiquadric interpolation in many dimensions
• A fast algorithm for particle simulations