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Title Multiscale, nonlinear and adaptive approximation : dedicated to Wolfgang Dahmen on the occasion of his 60th birthday / Ronald A. DeVore, Angela Kunoth, editors
Published Heidelberg ; New York : Springer, ©2009

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Description 1 online resource (xxiii, 659 pages) : illustrations (some color)
Contents Wolfgang Dahmen's mathematical work / Ronald A. DeVore, Angela Kunoth -- The way things were in multivariate splines: a personal view / Carl de Boor -- On the efficient computation of high-dimensional integrals and the approximation by exponential sums / Dietrich Braess, Wolfgang Hackbusch -- Adaptive and anistropic piecewise polynomial approximation / Albert Cohen, Jean-Marie Mirebeau -- Anistropic function spaces with applications / Shai Dekel, Pencho Petrushev -- Nonlinear approximation and its applications / Ronald A. DeVore -- Univariate subdivision and multi-scale transforms: the nonlinear case / Nira Dyn, Peter Oswald -- Rapid solution of boundary integral equations by wavelet Galerkin schemes / Helmut Harbrecht, Reinhold Schneider -- Learning out of leaders / Gérard Kerkyacharian [and others] -- Optimized wavelet preconditioning / Angela Kunoth -- Multiresolution schemes for conservation laws / Siegfried Müller -- Theory of adaptive finite element methods: an introduction / Ricardo H. Nochetto, Kunibert G. Siebert, Andreas Veeser -- Adaptive wavelet methods for solving operator equations: an overview / Rob Stevenson -- Optimal mulitlevel methods for H(grad), H(curl) and H(div) systems on graded and unstructured grids / Jinchao Xu, Long Chen, Ricardo H. Nochetto
Summary The book of invited articles offers a collection of high-quality papers in selected and highly topical areas of Applied and Numerical Mathematics and Approximation Theory which have some connection to Wolfgang Dahmen's scientific work. On the occasion of his 60th birthday, leading experts have contributed survey and research papers in the areas of Nonlinear Approximation Theory, Numerical Analysis of Partial Differential and Integral Equations, Computer-Aided Geometric Design, and Learning Theory. The main focus and common theme of all the articles in this volume is the mathematics building the foundation for most efficient numerical algorithms for simulating complex phenomena
Bibliography Includes bibliographical references
Notes Print version record
In Springer eBooks
Subject Dahmen, Wolfgang, 1949-
SUBJECT Dahmen, Wolfgang, 1949- fast
Subject Approximation theory.
Numerical analysis.
Wavelets (Mathematics)
MATHEMATICS -- General.
Approximation theory
Numerical analysis
Wavelets (Mathematics)
Genre/Form Electronic books
Festschriften
Festschriften.
Form Electronic book
Author Dahmen, Wolfgang, 1949-
DeVore, Ronald A.
Kunoth, Angela, 1963-
ISBN 9783642034138
3642034136