Titlebook: Spherical Radial Basis Functions, Theory and Applications; Simon Hubbert,Qu?c Th?ng Lê Gia,Tanya M. Morton Book 2015 The Author(s) 2015 Ap

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Motivation and Background Functional Analysis,We open this chapter by establishing the basic notation that will be used regularly throughout the book. We then provide some motivation behind what we aim to achieve in this book, namely to develop the theory and explore the applications of spherical basis functions (SBFs).

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The Spherical Basis Function Method,Since the early 1990s the radial basis function (RBF) method has become a well established tool for reconstructing functions and for solving partial differential equations based on data prescribed at scattered locations throughout a domain in ..

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Fast Iterative Solvers for PDEs on Spheres,In the final two chapters of the book, we will describe the SBF method for constructing numerical solutions to PDEs on the unit sphere.

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Simon Hubbert,Qu?c Th?ng Lê Gia,Tanya M. MortonA customised review of spherical mathematics from functional analysis and differential geometry.Studies technical error analysis of the SBF method in a friendly, readable style.Both practical and theo

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