From the reviews: "This book contains an explanation of the Chebyshev collocation spectral method applied to several problems of transport phenomena ... . The book is mainly addressed to graduate students in engineering or physicists who need to numerically solve problems involving partial differential equations. ... the book might be interesting to mathematicians as it presents a lot of applications, and some practical implementation of the methods complements the theoretical studies. ... The book is valuable, mainly due to its practicality." (Henar Herrero, Mathematical Reviews, January, 2014) "This book presents topics that guide the reader through various stages of the Chebyshev-spectral method to solve transport problems. ... The book is written for the typical graduate student in engineering, or even for the physicist, that enjoys working with pencil and paper, and who wishes to use common software such as MATLAB, MATHEMATICA, or MAPLE." (Titus Petrila, zbMATH, Vol. 1266, 2013)

• An Introduction to the Book and a Road Map.- An Introduction to the Spectral Method.- Steady One-Dimensional (1D) Heat Conduction Problems.- Unsteady 1D Heat Conduction Problems.- Steady Two-Dimensional (2D) Heat Conduction Problems.- 2D Closed Flow Problems - The Driven Cavity.- Applications to Hydrodynamic Instabilities.- Exercises for the Reader.- References.- Index.

From the reviews: "This book contains an explanation of the Chebyshev collocation spectral method applied to several problems of transport phenomena ... . The book is mainly addressed to graduate students in engineering or physicists who need to numerically solve problems involving partial differential equations. ... the book might be interesting to mathematicians as it presents a lot of applications, and some practical implementation of the methods complements the theoretical studies. ... The book is valuable, mainly due to its practicality." (Henar Herrero, Mathematical Reviews, January, 2014) "This book presents topics that guide the reader through various stages of the Chebyshev-spectral method to solve transport problems. ... The book is written for the typical graduate student in engineering, or even for the physicist, that enjoys working with pencil and paper, and who wishes to use common software such as MATLAB, MATHEMATICA, or MAPLE." (Titus Petrila, zbMATH, Vol. 1266, 2013)

• An Introduction to the Book and a Road Map.- An Introduction to the Spectral Method.- Steady One-Dimensional (1D) Heat Conduction Problems.- Unsteady 1D Heat Conduction Problems.- Steady Two-Dimensional (2D) Heat Conduction Problems.- 2D Closed Flow Problems - The Driven Cavity.- Applications to Hydrodynamic Instabilities.- Exercises for the Reader.- References.- Index.

From the reviews: "This book contains an explanation of the Chebyshev collocation spectral method applied to several problems of transport phenomena ... . The book is mainly addressed to graduate students in engineering or physicists who need to numerically solve problems involving partial differential equations. ... the book might be interesting to mathematicians as it presents a lot of applications, and some practical implementation of the methods complements the theoretical studies. ... The book is valuable, mainly due to its practicality." (Henar Herrero, Mathematical Reviews, January, 2014) "This book presents topics that guide the reader through various stages of the Chebyshev-spectral method to solve transport problems. ... The book is written for the typical graduate student in engineering, or even for the physicist, that enjoys working with pencil and paper, and who wishes to use common software such as MATLAB, MATHEMATICA, or MAPLE." (Titus Petrila, zbMATH, Vol. 1266, 2013)

• An Introduction to the Book and a Road Map.- An Introduction to the Spectral Method.- Steady One-Dimensional (1D) Heat Conduction Problems.- Unsteady 1D Heat Conduction Problems.- Steady Two-Dimensional (2D) Heat Conduction Problems.- 2D Closed Flow Problems - The Driven Cavity.- Applications to Hydrodynamic Instabilities.- Exercises for the Reader.- References.- Index.