Haar Wavelets: With Applications

by Ülo Lepik, Helle Hein

Overview

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.

Product Details

ISBN-13:	9783319344522
Publisher:	Springer International Publishing
Publication date:	01/23/2015
Series:	Mathematical Engineering
Edition description:	Softcover reprint of the original 1st ed. 2014
Pages:	207
Product dimensions:	6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

Haar wavelets.- Application to ODE.- Stiff equations.- Integral equations.- Evolution equations.- Application to PDE.- Fractional differential and integral equations.- Application to optimal control theory.- Buckling of cracked Euler-Bernoulli elastic beams.- Bending and vibrations of elastic beams.- Buckling of functionally graded Euler-Bernoulli beams.- Vibrations of functionally graded Timoshenko beams.- Application to damage detection using machine learning.

Editorial 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)

From the Publisher