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.
Author(s): Ronald A. DeVore, Angela Kunoth (auth.), Ronald DeVore, Angela Kunoth (eds.)
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2009
Language: English
Pages: 660
Tags: Computational Mathematics and Numerical Analysis; Numerical Analysis; Numeric Computing; Appl.Mathematics/Computational Methods of Engineering
Front Matter....Pages I-XXIII
Introduction: Wolfgang Dahmen’s mathematical work....Pages 1-17
The way things were in multivariate splines: A personal view....Pages 19-37
On the efficient computation of high-dimensional integrals and the approximation by exponential sums....Pages 39-74
Adaptive and anisotropic piecewise polynomial approximation....Pages 75-135
Anisotropic function spaces with applications....Pages 137-167
Nonlinear approximation and its applications....Pages 169-201
Univariate subdivision and multi-scale transforms: The nonlinear case....Pages 203-247
Rapid solution of boundary integral equations by wavelet Galerkin schemes....Pages 249-294
Learning out of leaders....Pages 295-324
Optimized wavelet preconditioning....Pages 325-378
Multiresolution schemes for conservation laws....Pages 379-408
Theory of adaptive finite element methods: An introduction....Pages 409-542
Adaptive wavelet methods for solving operator equations: An overview....Pages 543-597
Optimal multilevel methods for H (grad), H (curl), and H (div) systems on graded and unstructured grids....Pages 599-659
