Multiscale, Nonlinear and Adaptive Approximation

Ronald Devore

ISBN 10: 3642424570 / ISBN 13: 9783642424571

Published by Springer, Springer Spektrum Dez 2014, 2014

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -Introduction: Wolfgang Dahmen's mathematical work.- The way things were in multivariate splines: Apersonal view.- On the efficient computation of high-dimensional integrals and the approximation by exponential sums.- Adaptive and anisotropic piecewise polynomial approximation.- Anisotropic function spaces with applications.- Nonlinear approximation and its applications.- Univariate subdivision and multi-scale transforms: The nonlinear case.- Rapid solution of boundary integral equations by wavelet Galerkin schemes.- Learning out of leaders.- Optimized wavelet preconditioning.- Multiresolution schemes for conservation laws.- Theory of adaptive finite element methods: An introduction.- Adaptive wavelet methods for solving operator equations: An overview.- Optimal multilevel methods for (grad), (curl), and (div) systems on graded and unstructured grids.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 684 pp. Englisch.

Seller Inventory # 9783642424571

Bibliographic Details

• Title: Multiscale, Nonlinear and Adaptive Approximation
• Publisher: Springer, Springer Spektrum Dez 2014
• Publication Date: 2014
• Language: English
• ISBN 10: 3642424570
• ISBN 13: 9783642424571
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 37D millimeters 235 millimeters width by 155 millimeters height by 37 millimeters depth
• Weight: 1019 grams

About this title

Synopsis

. . . . . . . . . . . . . . . . . . . 7 7 Hyperbolic partial differential equations and conservation laws . . . 8 8 Engineering collaborations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 9 Thepresent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 10 Finalremarks. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 Publications by Wolfgang Dahmen (as of summer 2009). . . . . . . . . . . . . . . 10 The way things were in multivariate splines: A personal view. . . . . . . . . . . 19 Carl de Boor 1 Tensor product spline interpolation. . . . . . . . . . . . . . . . . . . . . . . . . . . 19 2 Quasiinterpolation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3 MultivariateB-splines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 4 Kergininterpolation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

About the Author

Ronald DeVore's speciality is Nonlinear Approximation Theory. He is The Walter E. Koss Professor of Mathematics at Texas A&M University.He was elected a member of the American Academy of Arts and Sciences in 2001 and received an Honorary Doctorate from RWTH Aachen in 2004. In 2006, he was a Plenary Lecturer at the International Congress of Mathematicians in Madrid.

Angela Kunoth is working on wavelet and multiscale methods for solving partial differential equations and for data analysis purposes. She holds the Chair of Complex Systems at Universitaet Paderborn since 2007 and is an editor of five journals in applied mathematics and numerics.