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Methods of mathematical modelling continuous systems and differential equations / [electronic resource] :
- 作者： Witelski, Thomas.
- 其他作者：
- 其他題名：
- Springer undergraduate mathematics series
- 出版： Cham : Springer International Publishing :Imprint: Springer
- 叢書名： Springer undergraduate mathematics series
- 主題： Mathematical models , Mathematics , Ordinary Differential Equations. , Partial Differential Equations. , Mathematical Applications in the Physical Sciences. , Mathematical Modeling and Industrial Mathematics. , Calculus of Variations and Optimal Control; Optimization.
- ISBN： 9783319230429 (electronic bk.) 、 9783319230412 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: 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.
- 摘要註: 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.
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讀者標籤：
- 系統號： 005137376 | 機讀編目格式
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