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Materials - Mechanics | Haar Wavelets - With Applications

Haar Wavelets

With Applications

Lepik, Ülo, Hein, Helle

2014, X, 207 p. 50 illus.

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  • Provides a comprehensive introduction to Haar wavelets
  • Presents a broad range of applications of Haar wavelet theory
  • Written by experts in the field

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.

Content Level » Research

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

Related subjects » Analysis - Applications - Computational Science & Engineering - Mechanics - Theoretical, Mathematical & Computational Physics

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