The objective of this book is to provide a comprehensive discussion of Fourier and Chebyshev spectral methods for the computation of incom- pressible viscous flows, based on the Navier-Stokes equations. and confidence in the numerical results, the re- For reasons of efficiency searchers and practitioners involved in computational fluid dynamics must be able to master the numerical methods they use. Therefore, in writing this book, beyond the description of the algorithms, I have also tried to provide information on the mathematical and computational, as well as implementational...