Multiscale, Nonlinear and Adaptive Approximation Dedicated to Wolfgang Dahmen on the Occasion of his 60th Birthday /

• Corporate Author: SpringerLink (Online service)
• Other Authors: DeVore, Ronald (Editor), Kunoth, Angela (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Subjects: Mathematics.; Computers.; Numerical analysis.; Computer mathematics.; Applied mathematics.; Engineering mathematics.; Numerical Analysis.; Computational Mathematics and Numerical Analysis.; Theory of Computation.; Numeric Computing.; Appl.Mathematics/Computational Methods of Engineering.

Table of Contents:

• Introduction: Wolfgang Dahmen’s mathematical work
• The way things were in multivariate splines: A personal 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.