Multiscale and Multiresolution Methods

Theory and Applications

  • Timothy J. Barth
  • Tony Chan
  • Robert Haimes

Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 20)

Table of contents

  1. Front Matter
    Pages I-X
  2. Invited Papers

    1. Front Matter
      Pages 1-1
    2. Björn Engquist, Olof Runborg
      Pages 97-148
    3. David L. Donoho, Xiaoming Huo
      Pages 149-196
    4. Christoph Schwab, Ana-Maria Matache
      Pages 197-237
    5. Jean-Luc Starck
      Pages 239-278
  3. Contributed Papers

  4. Back Matter
    Pages 379-394

About these proceedings

Introduction

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.

Keywords

Wavelet algorithm algorithms calculus data mining differential equation finite element method hierarchical representation homogenization image analysis image processing modeling multiresolution multiscale

Editors and affiliations

  • Timothy J. Barth
    • 1
  • Tony Chan
    • 2
  • Robert Haimes
    • 3
  1. 1.NAS DivisionNASA Ames Research CenterMoffett FieldUSA
  2. 2.Department of MathematicsUniversity of CaliforniaLos AngelesUSA
  3. 3.Department of Aeronautics and AstronauticsCambridge

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-56205-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 2002
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-42420-8
  • Online ISBN 978-3-642-56205-1
  • Series Print ISSN 1439-7358
  • About this book
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