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020 _a9789813366435
024 7 _a10.1007/978-981-33-6643-5
_2doi
040 _aES-MaUEC
_bspa
_cES-MaUEC
_dES-MaUEC
050 4 _aTA331
_b2021 EB
100 1 _aZhou, You-He
_eautor
_4http://id.loc.gov/vocabulary/relators/aut
_9680863
245 1 0 _aWavelet Numerical Method and Its Applications in Nonlinear Problems
_cby You-He Zhou
250 _aFirst edition 2021
264 1 _aSingapore
_bSpringer International Publishing
_c2021
300 _a1 recurso en línea (XXII, 478 páginas)
_b 161 ilustraciones, 153 ilustraciones a color
336 _2rdacontent
_aTexto
_btxt
337 _2rdamedia
_aelectrónico
_bc
338 _2rdacarrier
_arecurso electrónico
_bcr
347 _aarchivo de texto
_bPDF
490 0 _aEngineering Applications of Computational Methods
_x2662-3374
_v6
490 0 _aEngineering (SpringerNature-11647)
490 0 _aEngineering (R0) (SpringerNature-43712)
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 3 _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. .
988 _aSpringer_Engineering_2021
650 7 _2embne
_aWavelets (Matemáticas)
_9161271
776 0 8 _iPrinted edition:
_z9789813366428
776 0 8 _iPrinted edition:
_z9789813366442
776 0 8 _iPrinted edition:
_z9789813366459
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-981-33-6643-5
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942 _2lcc
_cLE
998 _b01/2022
_dz
_eIG
_zSI