國立虎尾科技大學 |

Wavelet Numerical Method and Its Applications in Nonlinear Problems

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Wavelet Numerical Method and Its Applications in Nonlinear Problems/ by You-He Zhou.
作者:	Zhou, You-He.
面頁冊數:	XXII, 478 p. 161 illus., 153 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Solid Mechanics. -
電子資源:	https://doi.org/10.1007/978-981-33-6643-5
ISBN:	9789813366435

Wavelet Numerical Method and Its Applications in Nonlinear Problems
Zhou, You-He.

Wavelet Numerical Method and Its Applications in Nonlinear Problems[electronic resource] /by You-He Zhou. - 1st ed. 2021. - XXII, 478 p. 161 illus., 153 illus. in color.online resource. - Engineering Applications of Computational Methods,62662-3374 ;. - Engineering Applications of Computational Methods,3.

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.

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 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. .

ISBN: 9789813366435

Standard No.: 10.1007/978-981-33-6643-5doiSubjects--Topical Terms:

1211586
Solid Mechanics.

LC Class. No.: TA329-348

Dewey Class. No.: 620.00151

Wavelet Numerical Method and Its Applications in Nonlinear Problems
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