Modern developments in multivariate approximation: 5th international conference, Witten-Bommerholtz (Germany), September 2002

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Springer Science & Business Media, Oct 24, 2003 - Mathematics - 319 pages
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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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Contents

I
9
II
17
III
21
IV
41
V
57
VI
71
VII
103
VIII
125
XII
175
XIII
203
XIV
215
XV
235
XVI
253
XVII
263
XVIII
279
XIX
295

IX
143
X
153
XI
167
XX
309
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