Quartic Gaussian and inverse-quartic Gaussian radial basis functions: the importance of a nonnegative Fourier transform
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Publication:356437
DOI10.1016/j.camwa.2012.10.014zbMath1268.41014OpenAlexW2093058014MaRDI QIDQ356437
Philip W. McCauley, John P. Boyd
Publication date: 25 July 2013
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2012.10.014
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Approximation by other special function classes (41A30)
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The Fourier transform of the quartic Gaussian \(\exp(-Ax^4)\): hypergeometric functions, power series, steepest descent asymptotics and hyperasymptotics and extensions to \(\exp(-Ax^{2 n})\) ⋮ A modification on strictly positive definite RBF-DQ method based on matrix decomposition ⋮ On a generalized Gaussian radial basis function: analysis and applications
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