Reference Books:

• Spectral and High-Order Methods with Applications (2006), by J. Shen and T. Tang. Publisher: Science Press.

• Spectral Methods in Fluid Dynamics (1988), by C. Canuto, M.Y. Hussainim A. Quarteroni and T.A. Zang. Publisher: Springer-Verlag.

• Spectral Methods in Matlab (2000), by L.N. Trefethen. Publisher: SIAM (Socity of Industrial and Applied Mathematics).

• Spectral Methods and Their Applications (1998), by Ben-Yu Guo. Publisher: World Scientific.

• Fourier Analysis and Approximation (1971), by P. L. Butzer and R. J. Nessel. Publisher: Birkhauser.

• Numerical Analysis of Spectral Methods: Theory and Applications (2077), by D. Gottlieb and S. A. Orszag. Publisher: SIAM-CBMS.

• Chebyshev and Fourier Spectral Methods (2001), by J. P. Boyd. Publisher: Springer-Verlag.

• A Practical Guide to Pseudospectral Methods (1996), by B. Fornberg. Publisher: Cambridge University Press.

• Spectral/hp Element Methods for CFD (1999), by G.E. Karniadakis and S. J. Sherwin. Publisher: Oxford University Press.

Lecture notes and programs:

• Written lectures by Professor Jie Shen from Department of Mathematics, Purdue University.

  • Chapters 1 and 2
  • Chapters 3 and 4
  • Chapter 5

• Downloadable programs written by Professor Jie Shen from Department of Mathematics, Purdue University.