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Multiscale and Multiresolution Methods

Theory and Applications

  • Conference proceedings
  • © 2002

Overview

Editors:
  1. Timothy J. Barth

    1. NAS Division, NASA Ames Research Center, Moffett Field, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Tony Chan

    1. Department of Mathematics, University of California, Los Angeles, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. Robert Haimes

    1. Department of Aeronautics and Astronautics, Cambridge

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  • The book contains survey articles by absolutely top-ranking authors from both the CSE and wavelets communitites
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (12 papers)

  1. Front Matter

    Pages I-X
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  2. Invited Papers

    1. Front Matter

      Pages 1-1
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    2. Multiscale Scientific Computation: Review 2001

      • Achi Brandt
      Pages 3-95

    3. Wavelet-Based Numerical Homogenization with Applications

      • Björn Engquist, Olof Runborg
      Pages 97-148

    4. Beamlets and Multiscale Image Analysis

      • David L. Donoho, Xiaoming Huo
      Pages 149-196

    5. Generalized FEM for Homogenization Problems

      • Christoph Schwab, Ana-Maria Matache
      Pages 197-237

    6. Nonlinear Multiscale Transforms

      • Jean-Luc Starck
      Pages 239-278

  3. Contributed Papers

    1. Front Matter

      Pages 279-279
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    2. Applications of Harten’s Framework for Multiresolution: From Conservation Laws to Image Compression

      • F. Arandiga, G. Chiavassa, R. Donat
      Pages 281-296

    3. Two Level Finite Element Technique for Pressure Recovery from Stream Function Formulation of the Navier-Stokes Equations

      • Faisal Fairag
      Pages 297-306

    4. The Role of Multiresolution in Mining Massive Image Datasets

      • Imola K. Fodor, Chandrika Kamath
      Pages 307-317

    5. Dynamic Subgrid Modeling for Scalar Convection-Diffusion-Reaction Equations with Fractal Coefficients

      • Johan Hoffman
      Pages 319-330

    6. Multilevel Methods for Inverse Bioelectric Field Problems

      • C. R. Johnson, M. Mohr, U. Rüde, A. Samsonov, K. Zyp
      Pages 331-346

    7. Multiscale Eigenbasis Calculations: N Eigenfunctions in O(N log N)

      • Oren E. Livne, Achi Brandt
      Pages 347-357

    8. Wavelet Galerkin BEM on Unstructured Meshes by Aggregation

      • Gregor Schmidlin, Christoph Schwab
      Pages 359-378

  4. Back Matter

    Pages 379-394
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Keywords

About this book

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.

Editors and Affiliations

  • NAS Division, NASA Ames Research Center, Moffett Field, USA

    Timothy J. Barth

  • Department of Mathematics, University of California, Los Angeles, USA

    Tony Chan

  • Department of Aeronautics and Astronautics, Cambridge

    Robert Haimes

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