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
computer science and geophysics.
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