Wavelet numerical method and its applications in nonlinear problems / You-He Zhou.
Zhou, You-He, author.
2021
TA331
Available Online

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Title Wavelet numerical method and its applications in nonlinear problems / You-He Zhou.
Author Zhou, You-He, author.
ISBN 9789813366435 (electronic bk.)
9813366435 (electronic bk.)
9813366427
9789813366428
DOI https://doi.org/10.1007/978-981-33-6643-5
Published Singapore : Springer, [2021]
Language English
Description 1 online resource (494 pages)
Other Standard Identifiers 10.1007/978-981-33-6643-5 doi
Call Number TA331
Dewey Decimal Classification 620.001/51
Summary This 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 authors 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Description based on print version record.
Series Engineering applications of computational methods ; volume 6.
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Introduction
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.

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