Methods of Mathematical Modelling: Continuous Systems and Differential Equations

Thomas Witelski, Mark Bowen

Research output: Book/ReportBook

5 Citations (Scopus)

Abstract

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.

Original languageEnglish
PublisherSpringer International Publishing
Number of pages305
ISBN (Print)9783319230429, 9783319230412
DOIs
Publication statusPublished - 2015 Sep 18

Fingerprint

Continuous System
Mathematical Modeling
Differential equation
Integrated Process
Matched Asymptotic Expansions
Similarity Solution
Multiple Scales
Fluid Mechanics
Calculus of variations
Population Dynamics
Applied mathematics
Transport Equation
Chemical Reaction
Mechanical Systems
Ordinary differential equation
Dynamical system
Cover
Engineering
Model

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Methods of Mathematical Modelling : Continuous Systems and Differential Equations. / Witelski, Thomas; Bowen, Mark.

Springer International Publishing, 2015. 305 p.

Research output: Book/ReportBook

Witelski, Thomas ; Bowen, Mark. / Methods of Mathematical Modelling : Continuous Systems and Differential Equations. Springer International Publishing, 2015. 305 p.
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