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A Primer on Radial Basis Functions with Applications to the Geosciences Nicole Seymour capacity and consent How toAdapted from a series of lectures given by the authors, this monograph focuses on radial basis functions (RBFs), a powerful numerical methodology for solving PDEs to high accuracy in any number of dimensions. This method applies to problems across a wide range of PDEs arising in fluid mechanics, wave motions, astro and geosciences, mathematical biology, and other areas and has lately been shown to compete successfully against the very best previous