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Methods of Mathematical Modelling = Continuous Systems and Differential Equations /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Methods of Mathematical Modelling/ by Thomas Witelski, Mark Bowen.
其他題名:	Continuous Systems and Differential Equations /
作者:	Witelski, Thomas.
其他作者:	Bowen, Mark.
面頁冊數:	XVIII, 305 p. 50 illus., 45 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Differential equations. -
電子資源:	https://doi.org/10.1007/978-3-319-23042-9
ISBN:	9783319230429

Methods of Mathematical Modelling = Continuous Systems and Differential Equations /
Witelski, Thomas.

Methods of Mathematical ModellingContinuous Systems and Differential Equations /[electronic resource] :by Thomas Witelski, Mark Bowen. - 1st ed. 2015. - XVIII, 305 p. 50 illus., 45 illus. in color.online resource. - Springer Undergraduate Mathematics Series,1615-2085. - Springer Undergraduate Mathematics Series,.

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.

ISBN: 9783319230429

Standard No.: 10.1007/978-3-319-23042-9doiSubjects--Topical Terms:

527664
Differential equations.

LC Class. No.: QA372

Dewey Class. No.: 515.352

Methods of Mathematical Modelling = Continuous Systems and Differential Equations /
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