000 02970nam a22006015i 4500
001 978-3-319-04295-4
003 DE-He213
005 20200421112228.0
007 cr nn 008mamaa
008 140109s2014 gw | s |||| 0|eng d
020 _a9783319042954
_9978-3-319-04295-4
024 7 _a10.1007/978-3-319-04295-4
_2doi
050 4 _aTA355
050 4 _aTA352-356
072 7 _aTGMD4
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aSCI018000
_2bisacsh
082 0 4 _a620
_223
100 1 _aLepik, �Ulo.
_eauthor.
245 1 0 _aHaar Wavelets
_h[electronic resource] :
_bWith Applications /
_cby �Ulo Lepik, Helle Hein.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aX, 207 p. 50 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMathematical Engineering,
_x2192-4732
505 0 _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.
520 _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.
650 0 _aEngineering.
650 0 _aIntegral equations.
650 0 _aSystem theory.
650 0 _aComputer mathematics.
650 0 _aPhysics.
650 0 _aVibration.
650 0 _aDynamical systems.
650 0 _aDynamics.
650 1 4 _aEngineering.
650 2 4 _aVibration, Dynamical Systems, Control.
650 2 4 _aSystems Theory, Control.
650 2 4 _aMathematical Methods in Physics.
650 2 4 _aIntegral Equations.
650 2 4 _aComputational Science and Engineering.
700 1 _aHein, Helle.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319042947
830 0 _aMathematical Engineering,
_x2192-4732
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-04295-4
912 _aZDB-2-ENG
942 _cEBK
999 _c57839
_d57839