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Methods of Mathematical Modelling : Continuous Systems and Differential Equations / by Thomas Witelski, Mark Bowen
(Springer Undergraduate Mathematics Series. ISSN:21974144)
版 | 1st ed. 2015. |
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出版者 | Cham : Springer International Publishing : Imprint: Springer |
出版年 | 2015 |
大きさ | XVIII, 305 p. 50 illus., 45 illus. in color : online resource |
著者標目 | *Witelski, Thomas author Bowen, Mark author SpringerLink (Online service) |
件 名 | LCSH:Differential equations LCSH:Mathematical physics LCSH:Mathematical models LCSH:Mathematical optimization LCSH:Calculus of variations FREE:Differential Equations FREE:Mathematical Physics FREE:Mathematical Modeling and Industrial Mathematics FREE:Calculus of Variations and Optimization |
一般注記 | Rate equations -- Transport equations -- Variational principles -- Dimensional scaling analysis -- Self-similar scaling solutions of differential equations -- Perturbation methods -- Boundary layer theory -- Long-wave asymptotics for PDE problems -- Weakly-nonlinear oscillators -- Fast/slow dynamical systems -- Reduced models for PDE problems -- Modelling in applied fluid dynamics This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics. Chapters 1 to 4 cover essential topics in ordinary differential equations, transport equations and the calculus of variations that are important for formulating models. Chapters 5 to 11 then develop more advanced techniques including similarity solutions, matched asymptotic expansions, multiple scale analysis, long-wave models, and fast/slow dynamical systems. Methods of Mathematical Modelling will be useful for advanced undergraduate or beginning graduate students in applied mathematics, engineering and other applied sciences HTTP:URL=https://doi.org/10.1007/978-3-319-23042-9 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783319230429 |
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電子リソース |
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EB00205120 |
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※2017年9月4日以降