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Haar Wavelets: With Applications de Ülo Lepik

Haar Wavelets: With Applications: Mathematical Engineering

Autor Ülo Lepik, Helle Hein
en Limba Engleză Hardback – 22 ian 2014
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.
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Specificații

ISBN-13: 9783319042947
ISBN-10: 3319042947
Pagini: 230
Ilustrații: X, 207 p. 50 illus.
Dimensiuni: 155 x 235 x 20 mm
Greutate: 0.49 kg
Ediția:2014
Editura: Springer International Publishing
Colecția Springer
Seria Mathematical Engineering

Locul publicării:Cham, Switzerland

Public țintă

Research

Cuprins

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.

Recenzii

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)

Textul de pe ultima copertă

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.

Caracteristici

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