Modern Developments in Multivariate Approximation

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.