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Titlebook: Essential Perturbation Methods; C.Y. Wang Book 2023 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer N

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发表于 2025-3-21 19:16:35 | 显示全部楼层 |阅读模式
书目名称Essential Perturbation Methods
编辑C.Y. Wang
视频video
概述Refines perturbation methods into simple, understandable elements for practicing scientists and engineers.Models and scales physical problems resulting in normalized perturbation equations.Contains pr
丛书名称Synthesis Lectures on Engineering, Science, and Technology
图书封面Titlebook: Essential Perturbation Methods;  C.Y. Wang Book 2023 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer N
描述.This book presents the modeling and scaling of physical problems, which result in normalized perturbation equations. This is followed by solving perturbation problems and evaluating the results.  The author refines perturbation methods into simple, understandable elements and avoids unnecessary theorems and proofs. In addition, the results are consolidated and interpreted, and the presented examples are succinct to illustrate the essential techniques. This book is ideal and beneficial for practicing scientists and engineers who need to understand and apply perturbation methods to difficult problems with applications in mathematics, engineering, and biology.  Discussions on new perspectives, simpler presentations on convergence, and the expansion of integrals are included.  . . .    .
出版日期Book 2023
关键词Perturbation Methods; Modeling Physical Problems; Asymptotic Series; Equations; Singular Perturbation; Bo
版次1
doihttps://doi.org/10.1007/978-3-031-26545-7
isbn_softcover978-3-031-26547-1
isbn_ebook978-3-031-26545-7Series ISSN 2690-0300 Series E-ISSN 2690-0327
issn_series 2690-0300
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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发表于 2025-3-21 21:00:38 | 显示全部楼层
2690-0300 s resulting in normalized perturbation equations.Contains pr.This book presents the modeling and scaling of physical problems, which result in normalized perturbation equations. This is followed by solving perturbation problems and evaluating the results.  The author refines perturbation methods int
发表于 2025-3-22 01:47:05 | 显示全部楼层
https://doi.org/10.1057/9780230289802nt of location or time. A knowledge of the phase plane is helpful for choosing the proper perturbation method. For example, the perturbation method used is different when the solution is periodic or almost periodic. Other applications include the possible existence of boundary layers, transition layers, etc., for singular differential equations.
发表于 2025-3-22 07:27:39 | 显示全部楼层
Book 2023iques. This book is ideal and beneficial for practicing scientists and engineers who need to understand and apply perturbation methods to difficult problems with applications in mathematics, engineering, and biology.  Discussions on new perspectives, simpler presentations on convergence, and the expansion of integrals are included.  . . .    .
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发表于 2025-3-22 19:42:05 | 显示全部楼层
Improving Asymptotic Series,d in this chapter may be used to extract more accuracy from the perturbation series without solving for further higher order terms analytically. Rigorous convergence proofs are absent for these methods.
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发表于 2025-3-23 01:43:21 | 显示全部楼层
The Role of Knowledge in Conflict Resolutiond in this chapter may be used to extract more accuracy from the perturbation series without solving for further higher order terms analytically. Rigorous convergence proofs are absent for these methods.
发表于 2025-3-23 06:24:37 | 显示全部楼层
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