Table of contents

  1. Front Matter
    Pages i-x
  2. Angela Kunoth
    Pages 1-5
  3. Angela Kunoth
    Pages 6-12
  4. Angela Kunoth
    Pages 13-33
  5. Angela Kunoth
    Pages 34-68
  6. Angela Kunoth
    Pages 69-94
  7. Angela Kunoth
    Pages 95-128
  8. Back Matter
    Pages 129-141

About this book

Introduction

This research monograph deals with applying recently developed wavelet methods to stationary operator equations involving elliptic differential equations. Particular emphasis is placed on the treatment of the boundary and the boundary conditions.
While wavelets have since their discovery mainly been applied to problems in signal analysis and image compression, their analytic power has also been recognized for problems in Numerical Analysis. Together with the functional analytic framework for
differential and integral quations, one has been able to conceptually discuss questions which are relevant for the fast numerical solution of such problems: preconditioning,
stable discretizations, compression of full matrices, evaluation of difficult norms, and adaptive refinements. The present text focusses on wavelet methods for elliptic
boundary value problems and control problems to show the conceptual strengths of wavelet techniques.

Keywords

Advances in Numerical Mathematics Boundary Boundary value problem Control Problems LBB Condition Methods Multiscale Decomposition Numerical Mathematics Value Wavelets signal analysis

Authors and affiliations

  • Angela Kunoth
    • 1
  1. 1.Universität BonnBonnDeutschland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-322-80027-5
  • Copyright Information Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden GmbH, Wiesbaden 2001
  • Publisher Name Vieweg+Teubner Verlag
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-519-00327-4
  • Online ISBN 978-3-322-80027-5
  • Series Print ISSN 1616-2994
  • About this book