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Methods of Mathematical Modelling

Continuous Systems and Differential Equations

By: Thomas Witelski,Mark Bowen

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Methods of Mathematical Modelling

Continuous Systems and Differential Equations

By: Thomas Witelski,Mark Bowen

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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Page Count

309

Publisher

Springer

Published Date

ISBN 10

3319230425

ISBN 13

9783319230429

Methods of Mathematical Modelling

Continuous Systems and Differential Equations

By: Thomas Witelski,Mark Bowen

Write a review Read reviews Take a Quiz Solve Book Puzzle

Methods of Mathematical Modelling

Continuous Systems and Differential Equations

By: Thomas Witelski,Mark Bowen

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.

Average ratings

N/A

5

0%

4

0%

3

0%

2

0%

1

0%

Solve jigsaw puzzle

Age

Page Count

309

Publisher

Springer

Published Date

ISBN 10

3319230425

ISBN 13

9783319230429