Haar wavelets [electronic resource] : with applications / Ülo Lepik, Helle Hein.
Lepik, Ülo, author.; Hein, Helle, author.
2014
QA404.5 .L47 2014eb
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Title Haar wavelets [electronic resource] : with applications / Ülo Lepik, Helle Hein.
Author Lepik, Ülo, author.
ISBN 9783319042954 electronic book
3319042955 electronic book
9783319042947
3319042947
Published Cham [Switzerland] ; New York: Springer, [2014]
Copyright ©2014
Language English
Description 1 online resource (x, 207 pages) : illustrations.
Call Number QA404.5 .L47 2014eb
Dewey Decimal Classification 515.55
Summary "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"--Provided by publisher.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Description based on print version record.
Added Author Hein, Helle, author.
Series Mathematical engineering.
Available in Other Form Haar wavelets.
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1. Preliminaries
2. Haar wavelets
3. Solution of ordinary differential equations (ODEs)
4. Stiff equations
5. Integral equations
6. Evolution equations
7. Solving PDEs with the aid of two-dimensional Haar wavelets
8. Fractional calculus
9. Applying Haar wavelets in the optimal control theory
10. Buckling of elastic beams
11. Vibrations of cracked Euler-Bernoulli beams
12. Free vibrations on non-uniform and axially functionally graded Euler-Bernoulli beams
13. Vibrations of functionally graded Timoshenko beams
14. Applying Haar wavelets in damage detection using machine learning methods.

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