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Titlebook: Wavelet Numerical Method and Its Applications in Nonlinear Problems; You-He Zhou Book 2021 The Editor(s) (if applicable) and The Author(s)

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发表于 2025-3-21 18:41:34 | 显示全部楼层 |阅读模式
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Titlebook: Wavelet Numerical Method and Its Applications in Nonlinear Problems;  You-He Zhou Book 2021 The Editor(s) (if applicable) and The Author(s)
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
doihttps://doi.org/10.1007/978-981-33-6643-5
isbn_softcover978-981-33-6645-9
isbn_ebook978-981-33-6643-5Series ISSN 2662-3366 Series E-ISSN 2662-3374
issn_series 2662-3366
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
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发表于 2025-3-21 21:41:30 | 显示全部楼层
发表于 2025-3-22 02:41:12 | 显示全部楼层
Essentials to Solving Nonlinear Boundary-Value Problems, solution strategy based on the generalized Coiflets as proposed in the previous chapter such that the readers can have an overall understanding on how the book will solve various differential equations. For the initial-value problems, we will give a specific introduction somewhere later once it is
发表于 2025-3-22 06:58:02 | 显示全部楼层
,Space–Time Fully Decoupled Wavelet-Based Solution to Nonlinear Problems,a which play crucial roles in various scientific and engineering applications, including fluid mechanics, electromagnetic waves, nonlinear optics, population dynamics, solid-state physics, chemical kinetics, and plasma physics.
发表于 2025-3-22 09:17:39 | 显示全部楼层
,Space–Time Fully Decoupled Wavelet-Based Solution to Nonlinear Problems,a which play crucial roles in various scientific and engineering applications, including fluid mechanics, electromagnetic waves, nonlinear optics, population dynamics, solid-state physics, chemical kinetics, and plasma physics.
发表于 2025-3-22 16:22:09 | 显示全部楼层
Book 2021ather 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
发表于 2025-3-22 17:03:12 | 显示全部楼层
Engineering Applications of Computational Methodshttp://image.papertrans.cn/w/image/1021257.jpg
发表于 2025-3-23 00:18:59 | 显示全部楼层
https://doi.org/10.1007/978-981-33-6643-5Wavelet Theory; Nonlinear Problem; Partial Differential Equations; Integral Equations; Solution Method; S
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发表于 2025-3-23 08:35:28 | 显示全部楼层
Wavelet Numerical Method and Its Applications in Nonlinear Problems978-981-33-6643-5Series ISSN 2662-3366 Series E-ISSN 2662-3374
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