Implicit local radial basis function interpolations based on function values

DOI10.1016/j.amc.2015.04.107zbMath1410.65026OpenAlexW318001596MaRDI QIDQ1664183

Y. Aharonov

Publication date: 24 August 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.04.107

zbMATH Keywords

interpolationsparse matrixRBFslarge-scale

Mathematics Subject Classification ID

Numerical interpolation (65D05) Approximation by other special function classes (41A30)

Related Items (14)

On the numerical solution of Fredholm integral equations utilizing the local radial basis function method ⋮ The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations ⋮ Reconstruction of implicit curves and surfaces via RBF interpolation ⋮ Adaptive LOOCV-based kernel methods for solving time-dependent BVPs ⋮ Hermite-Birkhoff interpolation on scattered data on the sphere and other manifolds ⋮ A two-stage adaptive scheme based on RBF collocation for solving elliptic PDEs ⋮ Local radial basis function scheme for solving a class of fractional integro‐differential equations based on the use of mixed integral equations ⋮ Automatic update of Gaussian and multiquadric shape parameter for sequential metamodels based optimization ⋮ Optimal selection of local approximants in RBF-PU interpolation ⋮ A meshless local collocation method for time fractional diffusion wave equation ⋮ An interval for the shape parameter in radial basis function approximation ⋮ A numerical scheme for solving a class of logarithmic integral equations arisen from two-dimensional Helmholtz equations using local thin plate splines ⋮ On the search of the shape parameter in radial basis functions using univariate global optimization methods ⋮ The localized radial basis functions for parameterized level set based structural optimization

Uses Software

• Matlab

Cites Work

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• On choosing ``optimal shape parameters for RBF approximation
• Multivariate cardinal interpolation with radial-basis functions
• Fast Evaluation of Radial Basis Functions: Methods for Four-Dimensional Polyharmonic Splines
• Fast Solution of the Radial Basis Function Interpolation Equations: Domain Decomposition Methods
• Scattered Data Interpolation: Tests of Some Method
• Multidimensional binary search trees used for associative searching
• Radial functions on compact support
• A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures

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