Multiscale and Multiresolution Methods: Theory and Applications

✍ Scribed by Achi Brandt (auth.), Timothy J. Barth, Tony Chan, Robert Haimes (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2002
• Tongue: English
• Leaves: 395
• Series: Lecture Notes in Computational Science and Engineering 20
• Edition: 1
• Category: Library

✦ Synopsis

Many computionally challenging problems omnipresent in science and engineering exhibit multiscale phenomena so that the task of computing or even representing all scales of action is computationally very expensive unless the multiscale nature of these problems is exploited in a fundamental way. Some diverse examples of practical interest include the computation of fluid turbulence, structural analysis of composite materials, terabyte data mining, image processing, and a multitude of others. This book consists of both invited and contributed articles which address many facets of efficient multiscale representation and scientific computation from varied viewpoints such as hierarchical data representations, multilevel algorithms, algebraic homogeni- zation, and others. This book should be of particular interest to readers interested in recent and emerging trends in multiscale and multiresolution computation with application to a wide range of practical problems.

✦ Table of Contents

Front Matter....Pages I-X
Front Matter....Pages 1-1
Multiscale Scientific Computation: Review 2001....Pages 3-95
Wavelet-Based Numerical Homogenization with Applications....Pages 97-148
Beamlets and Multiscale Image Analysis....Pages 149-196
Generalized FEM for Homogenization Problems....Pages 197-237
Nonlinear Multiscale Transforms....Pages 239-278
Front Matter....Pages 279-279
Applications of Harten’s Framework for Multiresolution: From Conservation Laws to Image Compression....Pages 281-296
Two Level Finite Element Technique for Pressure Recovery from Stream Function Formulation of the Navier-Stokes Equations....Pages 297-306
The Role of Multiresolution in Mining Massive Image Datasets....Pages 307-317
Dynamic Subgrid Modeling for Scalar Convection-Diffusion-Reaction Equations with Fractal Coefficients....Pages 319-330
Multilevel Methods for Inverse Bioelectric Field Problems....Pages 331-346
Multiscale Eigenbasis Calculations: N Eigenfunctions in O ( N log N )....Pages 347-357
Wavelet Galerkin BEM on Unstructured Meshes by Aggregation....Pages 359-378
Back Matter....Pages 379-394

✦ Subjects

Computational Mathematics and Numerical Analysis; Numerical Analysis; Computational Intelligence