Multiscale and Multiresolution Methods: Theory and Applications / Edition 1

by Timothy J. Barth, Tony Chan, Robert Haimes

Overview

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.

Product Details

ISBN-13:	9783540424208
Publisher:	Springer Berlin Heidelberg
Publication date:	12/06/2001
Series:	Lecture Notes in Computational Science and Engineering , #20
Edition description:	Softcover reprint of the original 1st ed. 2002
Pages:	394
Product dimensions:	6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

Multiscale Scientific Computation: Review.- Wavelet-Based Numerical Homogenization with Applications.- Beamlets and Multiscale Image Analysis.- Generalized FEM for Homogenization Problems.- Nonlinear Multiscale Transforms.- Application of Harten’s Framework for Multiresolution: From Conservation Laws to Image Compression.- A Two Level Finite Element Technique for Pressure Recovery from the Stream Function Formulation of the Navier-Stokes Equations.- The Role of Multiresolution in Mining Massive Image Datasets.- Dynamic Subgrid Modeling for Scalar Convection-Diffusion-Reaction Equations with Fractal Coefficients.- Multilevel Methods for Inverse Bioelectric Field Problems.- Multiscale Eigenbasis Calculations: N Eigenfunctions in O(N log N).- Wavelet Galerkin BEM on Unstructured Meshes by Aggregation.- Collected Color Plates.