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Haar Wavelets

With Applications

  • Ülo Lepik
  • Helle Hein

Part of the Mathematical Engineering book series (MATHENGIN)

Table of contents

  1. Front Matter
    Pages i-x
  2. Ülo Lepik, Helle Hein
    Pages 1-6
  3. Ülo Lepik, Helle Hein
    Pages 7-20
  4. Ülo Lepik, Helle Hein
    Pages 21-43
  5. Ülo Lepik, Helle Hein
    Pages 45-57
  6. Ülo Lepik, Helle Hein
    Pages 59-82
  7. Ülo Lepik, Helle Hein
    Pages 83-95
  8. Ülo Lepik, Helle Hein
    Pages 107-122
  9. Ülo Lepik, Helle Hein
    Pages 123-135
  10. Ülo Lepik, Helle Hein
    Pages 137-149
  11. Ülo Lepik, Helle Hein
    Pages 151-165
  12. Ülo Lepik, Helle Hein
    Pages 177-187
  13. Back Matter
    Pages 203-207

About this book

Introduction

This is the first book to present a systematic review of applications of the Haar wavelet method for solving Calculus and Structural Mechanics problems. Haar wavelet-based solutions for a wide range of problems, such as various differential and integral equations, fractional equations, optimal control theory, buckling, bending and vibrations of elastic beams are considered. Numerical examples demonstrating the efficiency and accuracy of the Haar method are provided for all solutions.

Keywords

Damage Detection Non-uniform Haar Wavelets Nonlinear Fredholm Integral Equation Optimal Control Theory Robertson’s Problem Vibrations of Elastic Beams Wavelet Families

Authors and affiliations

  • Ülo Lepik
    • 1
  • Helle Hein
    • 2
  1. 1.Institute of MathematicsUniversity of TartuTartuEstonia
  2. 2.Institute of Computer ScienceUniversity of TartuTartuEstonia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-04295-4
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-04294-7
  • Online ISBN 978-3-319-04295-4
  • Series Print ISSN 2192-4732
  • Series Online ISSN 2192-4740
  • Buy this book on publisher's site