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Publications [#323229] of Thomas P. Witelski

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Books

  1. Witelski, T; Bowen, M, Methods of Mathematical Modelling: Continuous Systems and Differential Equations (September, 2015), pp. 1-305, 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 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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Mathematics Department
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