Haar Wavelets With Applications /

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 contr...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Lepik, Ülo (Συγγραφέας), Hein, Helle (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
Σειρά:Mathematical Engineering,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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020 |a 9783319042954  |9 978-3-319-04295-4 
024 7 |a 10.1007/978-3-319-04295-4  |2 doi 
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100 1 |a Lepik, Ülo.  |e author. 
245 1 0 |a Haar Wavelets  |h [electronic resource] :  |b With Applications /  |c by Ülo Lepik, Helle Hein. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2014. 
300 |a X, 207 p. 50 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Mathematical Engineering,  |x 2192-4732 
505 0 |a 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. 
520 |a 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. 
650 0 |a Engineering. 
650 0 |a Integral equations. 
650 0 |a System theory. 
650 0 |a Computer mathematics. 
650 0 |a Physics. 
650 0 |a Vibration. 
650 0 |a Dynamical systems. 
650 0 |a Dynamics. 
650 1 4 |a Engineering. 
650 2 4 |a Vibration, Dynamical Systems, Control. 
650 2 4 |a Systems Theory, Control. 
650 2 4 |a Mathematical Methods in Physics. 
650 2 4 |a Integral Equations. 
650 2 4 |a Computational Science and Engineering. 
700 1 |a Hein, Helle.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783319042947 
830 0 |a Mathematical Engineering,  |x 2192-4732 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-04295-4  |z Full Text via HEAL-Link 
912 |a ZDB-2-ENG 
950 |a Engineering (Springer-11647)