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| 文件名: Stability of Linear Delay Differential Equations.rar | |
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【2014新书】Stability of Linear Delay Differential Equations Book 图书名称：Stability of Linear Delay Differential Equations: A Numerical Approach with MATLAB Author 作者： Dimitri Breda, Stefano Maset, Rossana Vermiglio Publisher 出版社：Springer New York Page 页数：158 Publishing Date 出版时间：Oct, 2014 Language 语言：English Size 大小：4 MB Format 格式：pdf 文字版 ISBN: 978-1-4939-2106-5, 978-1-4939-2107-2 Edition: 第1版搜索过论坛，没有该文档 This book presents the authors' recent work on the numerical methods for the stability analysis of linear autonomous and periodic delay differential equations, which consist in applying pseudospectral techniques to discretize either the solution operator or the infinitesimal generator and in using the eigenvalues of the resulting matrices to approximate the exact spectra. The purpose of the book is to provide a complete and self-contained treatment, which includes the basic underlying mathematics and numerics, examples from population dynamics and engineering applications, and Matlab programs implementing the proposed numerical methods. A number of proofs is given to furnish a solid foundation, but the emphasis is on the (unifying) idea of the pseudospectral technique for the stability analysis of DDEs. It is aimed at advanced students and researchers in applied mathematics, in dynamical systems and in various fields of science and engineering, concerned with delay systems. A relevant feature of the book is that it also provides the Matlab codes to encourage the readers to experience the practical aspects. They could use the codes to test the theory and to analyze the performances of the methods on the given examples. Moreover, they could easily modify them to tackle the numerical stability analysis of their own delay models. == Table of contents == Content: Front Matter....Pages i-xi Introduction....Pages 1-14 Front Matter....Pages 15-16 Notation and Basics....Pages 17-21 Stability of Linear Autonomous Equations....Pages 23-33 Stability of Linear Periodic Equations....Pages 35-41 Front Matter....Pages 43-44 The Infinitesimal Generator Approach....Pages 45-65 The Solution Operator Approach....Pages 67-86 Front Matter....Pages 87-87 MATLAB Implementation....Pages 89-116 Applications....Pages 117-145 Back Matter....Pages 147-158 == 回帖见免费下载 == [hide][/hide] 声明： 本资源仅供学术研究参考之用，发布者不负任何法律责任，敬请下载者支持购买正版。 提倡免费分享！ 我发全部免费的，分文不收 来看看 ... 你也可关注我https://bbs.pinggu.org/z_guanzhu. ... tentionfuid=3727866 |
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