ebook9783034880671d4325

Description

This volume contains a selection of eighteen peer-reviewed articles that were presented at the 5th International Conference on Multivariate Approximation, held in Witten-Bommerholz in September 2002. The contributions cover recent developments of constructive approximation on manifolds, approximation by splines and kernels, subdivision techniques and wavelet methods. The main topics are: – applications of multivariate approximation in finance – approximation and stable reconstruction of images, data reduction – multivariate splines for Lagrange interpolation and quasi-interpolation – radial basis functions – spherical point sets – refinable function vectors and non-stationary subdivision – applications of adaptive wavelet methods – blending functions and cubature formulae – singularities of harmonic functions The book provides an overview of state-of-the-art developments in a highly relevant field of applied mathematics, with many links to computerscience and geophysics.