Description
Haar Wavelets, Softcover reprint of the original 1st ed. 2014
With Applications
Mathematical Engineering Series
Authors: Lepik Ülo, Hein Helle
Language: EnglishSubjects for Haar Wavelets:
105.49 €
In Print (Delivery period: 15 days).
Add to cart the print on demand of Lepik Ülo, Hein HellePublication date: 08-2016
Support: Print on demand
Approximative price 105.49 €
In Print (Delivery period: 15 days).
Add to cart the book of Lepik Ülo, Hein HellePublication date: 01-2014
207 p. · 15.5x23.5 cm · Hardback
Description
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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.
Preliminaries.- Haar wavelets.- Solution of ordinary differential equations (ODEs).- Stiff equations.- Integral equations.- Evolution equations.- Solving PDEs with the aid of two-dimensional Haar wavelets.- Fractional calculus.- Applying Haar wavelets in the optimal control theory.- Buckling of elastic beams.- Vibrations of cracked Euler-Bernoulli beams.- Free vibrations on non-uniform and axially functionally graded Euler-Bernoulli beams.- Vibrations of functionally graded Timoshenko beams.- Applying Haar wavelets in damage detection using machine learning methods.