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Haar Wavelets
Details
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.
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
Inhalt
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.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09783319344522
- Lesemotiv Verstehen
- Genre Mechanical Engineering
- Auflage Softcover reprint of the original 1st edition 2014
- Sprache Englisch
- Anzahl Seiten 220
- Herausgeber Springer International Publishing
- Größe H235mm x B155mm x T13mm
- Jahr 2016
- EAN 9783319344522
- Format Kartonierter Einband
- ISBN 3319344528
- Veröffentlichung 27.08.2016
- Titel Haar Wavelets
- Autor Helle Hein , Ülo Lepik
- Untertitel With Applications
- Gewicht 341g