An analytic approximation to the cardinal functions of Gaussian radial basis functions on an infinite lattice
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Publication:1039690
DOI10.1016/j.amc.2009.08.037zbMath1178.65012OpenAlexW1971381273MaRDI QIDQ1039690
Publication date: 23 November 2009
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2009.08.037
interpolationradial basis functionsspectral methodsGaussian radial basis functionsmatrix-free interpolation
Related Items (14)
A linear system-free Gaussian RBF method for the Gross-Pitaevskii equation on unbounded domains ⋮ A Fourier error analysis for radial basis functions on an infinite uniform grid. II: Spectral-plus is special ⋮ The uselessness of the fast Gauss transform for summing Gaussian radial basis function series ⋮ A Fourier error analysis for radial basis functions and the discrete singular convolution on an infinite uniform grid. I: Error theorem and diffusion in Fourier space ⋮ Summation of Gaussian shifts as Jacobi's third theta function ⋮ Combined natural convection heat and mass transfer in an enclosure having finite thickness walls ⋮ Periodized radial basis functions. I: Theory. ⋮ Error estimates of quasi-interpolation and its derivatives ⋮ The near-equivalence of five species of spectrally-accurate radial basis functions (RBFs): Asymptotic approximations to the RBF cardinal functions on a uniform, unbounded grid ⋮ Six strategies for defeating the Runge phenomenon in Gaussian radial basis functions on a finite interval ⋮ Matrix stability of multiquadric radial basis function methods for hyperbolic equations with uniform centers ⋮ Convergence and error theorems for Hermite function pseudo-RBFs: interpolation on a finite interval by Gaussian-localized polynomials ⋮ Error saturation in Gaussian radial basis functions on a finite interval ⋮ Spherical scattered data quasi-interpolation by Gaussian radial basis function
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Cites Work
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