书目名称 | Wavelet Numerical Method and Its Applications in Nonlinear Problems |
编辑 | You-He Zhou |
视频video | |
概述 | Introduces the wavelet theory and some related algorithms required for numerical solutions in plain language from engineer’s perspective rather than that of mathematician.Explains the construction and |
丛书名称 | Engineering Applications of Computational Methods |
图书封面 |  |
描述 | .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 p |
出版日期 | Book 2021 |
关键词 | Wavelet Theory; Nonlinear Problem; Partial Differential Equations; Integral Equations; Solution Method; S |
版次 | 1 |
doi | https://doi.org/10.1007/978-981-33-6643-5 |
isbn_softcover | 978-981-33-6645-9 |
isbn_ebook | 978-981-33-6643-5Series ISSN 2662-3366 Series E-ISSN 2662-3374 |
issn_series | 2662-3366 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |