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Publications [#323229] of Thomas P. Witelski
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 Witelski, T; Bowen, M, Methods of Mathematical Modelling: Continuous Systems and Differential Equations
(September, 2015),
pp. 1305, ISBN 9783319230429 [doi]
(last updated on 2017/12/16)
Author's Comments: Springer Undergraduate Mathematics Series (SUMS)
Abstract: © Springer International Publishing Switzerland 2015. All rights are reserved. This book presents mathematical modelling and the integrated process of formulating sets of equations to describe realworld 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, longwave 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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