Methods of Mathematical Modelling Continuous Systems and Differential Equations /

• Main Authors: Witelski, Thomas (Author), Bowen, Mark (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Edition: 1st ed. 2015.
• Series: Springer Undergraduate Mathematics Series,
• Subjects: Mathematics.; Differential equations.; Partial differential equations.; Mathematical physics.; Mathematical models.; Calculus of variations.; Ordinary Differential Equations.; Partial Differential Equations.; Mathematical Applications in the Physical Sciences.; Mathematical Modeling and Industrial Mathematics.; Calculus of Variations and Optimal Control; Optimization.

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, m...

Table of Contents:

• 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.