Reading APMA 2560
Textbook 1:
Numerical Analysis of Spectral Methods: Theory and Applications, Gottlieb & Orszag, SIAM, (1977).
Textbook 2:
Spectral/hp Element Methods for CFD, Karniadakis & Sherwin, Oxford University Press, (first edition, 1999; second edition, 2005; third edition, 2013).
Other References
1. Spectral Methods in Fluid Dynamics, Canuto et al. , Springer-Verlag, (1987/2006)
2. Fourier and Chebyshev Spectral Methods, Boyd, Dover, (2000)
3. Spectral Methods for Time-Dependent Problems, Hesthaven et al, Cambridge University Press, 2007.