A stable method for the evaluation of Gaussian radial basis function solutions of interpolation and collocation problems

DOI10.1016/j.camwa.2016.04.048zbMath1443.65110OpenAlexW2401023124MaRDI QIDQ2007310

M. Khasi, Gregory E. Fasshauer, Jalil Rashidinia

Publication date: 12 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.04.048

zbMATH Keywords

collocation methodboundary value problemsradial basis functionseigenfunction expansionGaussian kernel

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

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Uses Software

• Matlab
• GaussQR
• rbf_qr

Cites Work

• The solution of two-dimensional advection-diffusion equations via operational matrices
• Bases for kernel-based spaces
• Estimates of the Hermite and the Freud polynomials
• Stable computation of multiquadric interpolants for all values of the shape parameter
• Error estimates and condition numbers for radial basis function interpolation
• Pricing European and American options with two stochastic factors: a highly efficient radial basis function approach
• An introduction to the Hilbert-Schmidt SVD using iterated Brownian bridge kernels
• A new stable basis for radial basis function interpolation
• Stable Computation of Differentiation Matrices and Scattered Node Stencils Based on Gaussian Radial Basis Functions
• Stable Evaluation of Gaussian Radial Basis Function Interpolants
• Kernel-based Approximation Methods using MATLAB
• Stable Computations with Gaussian Radial Basis Functions
• Impossibility of Fast Stable Approximation of Analytic Functions from Equispaced Samples
• A Stable Algorithm for Flat Radial Basis Functions on a Sphere
• A Hessenberg-Schur method for the problem AX + XB= C
• Radial Basis Functions
• Spectral Methods in MATLAB
• The Hermite Spectral Method for Gaussian-Type Functions
• Multiscale Approximation and Reproducing Kernel Hilbert Space Methods
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
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• Unnamed Item
• Unnamed Item
• Unnamed Item

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