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010   $a3-319-04295-5
024 7 $a10.1007/978-3-319-04295-4
035   $a(OCoLC)871713309
035   $a(MiFhGG)GVRL6XFD
035   $a(EXLCZ)993710000000083676
100   $a20131211d2014      uy             0
101 0 $aeng
135   $aurun|---uuuua
181   $ctxt
182   $cc
183   $acr
200 10$aHaar wavelets $ewith applications /$fUlo Lepik, Helle Hein
205   $a1st ed. 2014.
210  1$aCham [Switzerland] :$cSpringer,$d2014.
215   $a1 online resource (x, 207 pages) $cillustrations
225 1 $aMathematical Engineering,$x2192-4732
300   $a"ISSN: 2192-4732."
311   $a3-319-04294-7 
320   $aIncludes bibliographical references and index.
327   $aPreliminaries -- 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.
330   $aThis is the first book to present a systematic review of applications of the Haar wavelet method for solving Calculus and Structural Mechanics problems. Haar wavelet-based solutions for a wide range of problems, such as various differential and integral equations, fractional equations, optimal control theory, buckling, bending and vibrations of elastic beams are considered. Numerical examples demonstrating the efficiency and accuracy of the Haar method are provided for all solutions.
410  0$aMathematical engineering.
606   $aHaar system (Mathematics)
606   $aSystem identification$xMathematical models
606   $aWavelets (Mathematics)
615  0$aHaar system (Mathematics)
615  0$aSystem identification$xMathematical models.
615  0$aWavelets (Mathematics)
676   $a515.2433
700   $aLepik$b Ülo$4aut$4http://id.loc.gov/vocabulary/relators/aut$0989116
702   $aHein$b Helle
801  0$bMiFhGG
801  1$bMiFhGG
906   $aBOOK
912   $a9910299478003321
996   $aHaar Wavelets$92262112
997   $aUNINA