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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 computerscience and geophysics.
List of contents
Contributions by H. Albrecher/J. Hartinger/R.F. Tichy, J.S. Brauchart, M. Charina/C. Conti, C.K. Chui/Q. Jiang, D.P. Dryanov, N. Dyn/D. Levin/A. Luzzatto, K. Dziedziul/K. Jetter, A. Iske, L. Karp/H.S. Shapiro, A. Kunoth, A. Le Méhauté, G. Nürnberger/F. Zeilfelder, G. Plonka/M. Tasche, M. Reimer, P. Sablonnière, T. Sauer, H. Wendland, G. Zimmermann.
About the author
Manfred Reimer arbeitete nach der Promotion an der Universität Tübingen zunächst als Wissenschaftlicher Assistent am Mathematischen Institut Tübingen. 1966 folgt die Habilitation, ebenfalls in Tübingen. 1967/68 arbeitete Professor Reimer als Research Assistant Professor an der University of Maryland. 1969 wechselte er als ordentlicher Professor an die Universität Dortmund, wo er an der Gründung und dem Aufbau des Mathematischen Instituts mitwirkte, forschte und lehrte. Seit 1999 ist er emeritiert, aber weiterhin wissenschaftlich tätig.
Summary
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 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.
