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Methods of mathematical modelling[electronic resource] :continuous systems and differential equations /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	511.8
書名/作者:	Methods of mathematical modelling : continuous systems and differential equations // by Thomas Witelski, Mark Bowen.
作者:	Witelski, Thomas.
其他作者:	Bowen, Mark.
出版者:	Cham : : Springer International Publishing :, 2015.
面頁冊數:	xviii, 305 p. : : ill. (some col.), digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Mathematical models.
標題:	Mathematics.
標題:	Ordinary Differential Equations.
標題:	Partial Differential Equations.
標題:	Mathematical Applications in the Physical Sciences.
標題:	Mathematical Modeling and Industrial Mathematics.
標題:	Calculus of Variations and Optimal Control; Optimization.
ISBN:	9783319230429
ISBN:	9783319230412
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、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-23042-9

Methods of mathematical modelling[electronic resource] :continuous systems and differential equations /
Witelski, Thomas.

Methods of mathematical modellingcontinuous systems and differential equations /[electronic resource] :by Thomas Witelski, Mark Bowen. - Cham :Springer International Publishing :2015. - xviii, 305 p. :ill. (some col.), digital ;24 cm. - 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:

175949
Mathematical models.

LC Class. No.: QA401

Dewey Class. No.: 511.8

Methods of mathematical modelling[electronic resource] :continuous systems and differential equations /
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520 $a 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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