TY  - GEN
AU  - Witelski, Thomas
AU  - Bowen, Mark
TI  - Methods of mathematical modelling: continuous systems and differential equations
SN  - 9783319230412
U1  - 515.352 
PY  - 2015///
CY  - Cham, Switzerland
PB  - Springer
KW  - Calculus of variation & Optimal Control
KW  - Continuous Groups
KW  - Differential Equation
KW  - Mathematical Application in the Physical Science
KW  - Mathematical Optimization
KW  - Mathematical Modelling
N2  - 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
ER  -