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001 978-981-33-6643-5
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020 _a9789813366435
_9978-981-33-6643-5
024 7 _a10.1007/978-981-33-6643-5
_2doi
050 4 _aTA329-348
072 7 _aTBJ
_2bicssc
072 7 _aTEC009000
_2bisacsh
072 7 _aTBJ
_2thema
082 0 4 _a620.00151
_223
100 1 _aZhou, You-He.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_943711
245 1 0 _aWavelet Numerical Method and Its Applications in Nonlinear Problems
_h[electronic resource] /
_cby You-He Zhou.
250 _a1st ed. 2021.
264 1 _aSingapore :
_bSpringer Nature Singapore :
_bImprint: Springer,
_c2021.
300 _aXXII, 478 p. 161 illus., 153 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aEngineering Applications of Computational Methods,
_x2662-3374 ;
_v6
505 0 _aIntroduction -- Basis of wavelets -- Wavelet approximation of a function -- Wavelet solution for linear boundary value problems -- Wavelet method for solving linear initial boundary value problems -- Wavelet closed method for nonlinear boundary value problems -- Wavelet method for solving nonlinear initial boundary value problems -- Applications of the wavelet closed method in mechanics and physics problems -- Summary and prospects.
520 _aThis book summarizes the basic theory of wavelets and some related algorithms in an easy-to-understand language from the perspective of an engineer rather than a mathematician. In this book, the wavelet solution schemes are systematically established and introduced for solving general linear and nonlinear initial boundary value problems in engineering, including the technique of boundary extension in approximating interval-bounded functions, the calculation method for various connection coefficients, the single-point Gaussian integration method in calculating the coefficients of wavelet expansions and unique treatments on nonlinear terms in differential equations. At the same time, this book is supplemented by a large number of numerical examples to specifically explain procedures and characteristics of the method, as well as detailed treatments for specific problems. Different from most of the current monographs focusing on the basic theory of wavelets, it focuses on the use of wavelet-based numerical methods developed by the author over the years. Even for the necessary basic theory of wavelet in engineering applications, this book is based on the author’s own understanding in plain language, instead of a relatively difficult professional mathematical description. This book is very suitable for students, researchers and technical personnel who only want to need the minimal knowledge of wavelet method to solve specific problems in engineering. .
650 0 _aEngineering mathematics.
_93254
650 0 _aFunctional analysis.
_912284
650 0 _aMathematics.
_911584
650 0 _aMechanics, Applied.
_93253
650 0 _aSolids.
_93750
650 1 4 _aEngineering Mathematics.
_93254
650 2 4 _aFunctional Analysis.
_912284
650 2 4 _aMathematics for Professionals.
_943712
650 2 4 _aSolid Mechanics.
_931612
710 2 _aSpringerLink (Online service)
_943713
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9789813366428
776 0 8 _iPrinted edition:
_z9789813366442
776 0 8 _iPrinted edition:
_z9789813366459
830 0 _aEngineering Applications of Computational Methods,
_x2662-3374 ;
_v6
_943714
856 4 0 _uhttps://doi.org/10.1007/978-981-33-6643-5
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c77370
_d77370