000 | 02970nam a22006015i 4500 | ||
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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 |