Recent progress in multivariate approximation. 4th International Conference, Witten-Bommerholz (Germany), September 2000

This volume presents the main results of the 4th International Conference on Multivariate Approximation, which was held at Witten-Bommerholz, September 24-29, 2000. Nineteen selected, peer-reviewed contributions cover recent topics in constructive approximation on varieties, approximation by solutions of partial differential equations, application of Riesz bases and frames, multiwavelets and subdivision. Features and Topics:interpolation and approximation on compact sets, kergin interpolationerror asymptoticsradial basis functionsenergy minimizing configurations on the spherequadrature and cubature formulaeharmonic functions near a zeroblending functionsframes and approximation of inverse frame operatorsThe book is an essential resource for researchers and graduates in applied mathematics, computer science and geophysics who are interested in the state-of-the-art developments in multivariate approximation.