• 1. CFD in perspective; 2. Mappings; 3. Ordinary differential equations – initial value problem; 4. Spatial discretization; 5. Boundary and Eigenvalue ODEs; 6. Methods based on functional expansions; 7. Partial differential equations; 8. Multi-dimensional partial differential equations; References; Index.

'The strength of this book lies in its emphasis on a complete presentation of the underlying theories followed by clear steps and concise formulation applied to a plethora of problems, which include basic numerical schemes such as Euler and Runge-Kutta methods and relatively advanced schemes such as the pseudo-spectral method, spectral methods with body fitted grids, and the immersed boundary method … These attributes make it highly attractive as a technical elective for engineering upperclassmen (following an introductory course in fluid mechanics) and forgraduate students, including those studying applied mathematics. Recommended.' R. N. Laoulache, Choice