000697306 000__ 02948cam\a2200493Ii\4500 000697306 001__ 697306 000697306 005__ 20230306135732.0 000697306 006__ m\\\\\o\\d\\\\\\\\ 000697306 007__ cr\cnu---unuuu 000697306 008__ 140307t20142014sz\a\\\\ob\\\\001\0\eng\d 000697306 010__ $$a 2013957382 000697306 020__ $$a9783319042954$$qelectronic book 000697306 020__ $$a3319042955$$qelectronic book 000697306 020__ $$z9783319042947 000697306 020__ $$z3319042947 000697306 035__ $$aSP(OCoLC)ocn871713309 000697306 035__ $$aSP(OCoLC)871713309 000697306 040__ $$aN$T$$beng$$erda$$epn$$cN$T$$dE7B$$dIDEBK$$dGW5XE$$dWAU$$dCOO$$dGGVRL 000697306 049__ $$aISEA 000697306 050_4 $$aQA404.5$$b.L47 2014eb 000697306 08204 $$a515.55$$223 000697306 1001_ $$aLepik, Ülo,$$eauthor. 000697306 24510 $$aHaar wavelets$$h[electronic resource] :$$bwith applications /$$cÜlo Lepik, Helle Hein. 000697306 264_1 $$aCham [Switzerland] ;$$aNew York:$$bSpringer,$$c[2014] 000697306 264_4 $$c©2014 000697306 300__ $$a1 online resource (x, 207 pages) :$$billustrations. 000697306 336__ $$atext$$btxt$$2rdacontent 000697306 337__ $$acomputer$$bc$$2rdamedia 000697306 338__ $$aonline resource$$bcr$$2rdacarrier 000697306 4901_ $$aMathematical engineering,$$x2192-4740 000697306 504__ $$aIncludes bibliographical references and index. 000697306 5050_ $$a1. Preliminaries -- 2. Haar wavelets -- 3. Solution of ordinary differential equations (ODEs) -- 4. Stiff equations -- 5. Integral equations -- 6. Evolution equations -- 7. Solving PDEs with the aid of two-dimensional Haar wavelets -- 8. Fractional calculus -- 9. Applying Haar wavelets in the optimal control theory -- 10. Buckling of elastic beams -- 11. Vibrations of cracked Euler-Bernoulli beams -- 12. Free vibrations on non-uniform and axially functionally graded Euler-Bernoulli beams -- 13. Vibrations of functionally graded Timoshenko beams -- 14. Applying Haar wavelets in damage detection using machine learning methods. 000697306 506__ $$aAccess limited to authorized users. 000697306 520__ $$a"This is the first book to present a systematic review of applications of the Haar wavelet method for solving Calculus and Structural Mechanics problems. Haar wavelet-based solutions for a wide range of problems, such as various differential and integral equations, fractional equations, optimal control theory, buckling, bending and vibrations of elastic beams are considered. Numerical examples demonstrating the efficiency and accuracy of the Haar method are provided for all solutions"--Provided by publisher. 000697306 588__ $$aDescription based on print version record. 000697306 650_0 $$aHaar system (Mathematics) 000697306 650_0 $$aSystem identification$$xMathematical models. 000697306 7001_ $$aHein, Helle,$$eauthor. 000697306 77608 $$iPrint version:$$aLepik, Ülo.$$tHaar wavelets.$$dCham ; New York : Springer, [2014]$$z3319042947$$w(DLC) 2013957382$$w(OCoLC)865494132 000697306 830_0 $$aMathematical engineering. 000697306 85280 $$bebk$$hSpringerLink 000697306 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-04295-4$$zOnline Access 000697306 909CO $$ooai:library.usi.edu:697306$$pGLOBAL_SET 000697306 980__ $$aEBOOK 000697306 980__ $$aBIB 000697306 982__ $$aEbook 000697306 983__ $$aOnline 000697306 994__ $$a92$$bISE