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  • Book
  • © 2014

Haar Wavelets

With Applications

Authors:

  • Provides a comprehensive introduction to Haar wavelets
  • Presents a broad range of applications of Haar wavelet theory
  • Written by experts in the field
  • Includes supplementary material: sn.pub/extras

Part of the book series: Mathematical Engineering (MATHENGIN)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-x
  2. Preliminaries

    • Ülo Lepik, Helle Hein
    Pages 1-6
  3. Haar Wavelets

    • Ülo Lepik, Helle Hein
    Pages 7-20
  4. Solution of Ordinary Differential Equations (ODEs)

    • Ülo Lepik, Helle Hein
    Pages 21-43
  5. Stiff Equations

    • Ülo Lepik, Helle Hein
    Pages 45-57
  6. Integral Equations

    • Ülo Lepik, Helle Hein
    Pages 59-82
  7. Evolution Equations

    • Ülo Lepik, Helle Hein
    Pages 83-95
  8. Fractional Calculus

    • Ülo Lepik, Helle Hein
    Pages 107-122
  9. Applying Haar Wavelets in the Optimal Control Theory

    • Ülo Lepik, Helle Hein
    Pages 123-135
  10. Buckling of Elastic Beams

    • Ülo Lepik, Helle Hein
    Pages 137-149
  11. Vibrations of Cracked Euler-Bernoulli Beams

    • Ülo Lepik, Helle Hein
    Pages 151-165
  12. Vibrations of Functionally Graded Timoshenko Beams

    • Ülo Lepik, Helle Hein
    Pages 177-187
  13. Back Matter

    Pages 203-207

About this book

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.

Reviews

From the reviews:

“This textbook presents a comprehensive overview of different applications of the Haar wavelet method. … This useful book is mainly written for students and researchers in applied mathematics, physics and engineering. The authors demonstrate the efficiency and accuracy of the Haar wavelet method by numerous examples.” (Manfred Tasche, zbMATH, Vol. 1287, 2014)

Authors and Affiliations

  • Institute of Mathematics, University of Tartu, Tartu, Estonia

    Ülo Lepik

  • Institute of Computer Science, University of Tartu, Tartu, Estonia

    Helle Hein

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access