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buhmann m radial basis functions theory implementations 2004

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Textbook in PDF format Radial basis functions Applications Contents of the book Summary of methods and applications Invertibility of interpolation matrices Convergence analysis Interpolation and convergence Applications to PDEs General methods for approximation and interpolation Polynomial schemes Piecewise polynomials General nonpolynomial methods Radial basis function approximation on infinite grids Existence of interpolants Convergence analysis Numerical properties of the interpolation linear system Convergence with respect to parameters in the radial functions Radial basis functions on scattered data Nonsingularity of interpolation matrices Convergence analysis Norm estimates and condition numbers of interpolation matrices Radial basis functions with compact support Wendland’s functions Another class of radial basis functions with compact support Convergence A unified class Implementations The BFGP algorithm and the new Krylov method The fast multipole algorithm Preconditioning techniques Least squares methods Introduction to least squares Approximation order results Discrete least squares Implementations Neural network applications Wavelet methods with radial basis functions Introduction to wavelets and prewavelets Basic definitions and constructions Multiresolution analysis and refinement Special constructions Further results and open problems Further results Open problems

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buhmann m radial basis functions theory implementations 2004

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