some thing about the spectral method
Hello:
Does somebody know some good reference for the spectral method, it is about the detail of the numerical method not the theory. regards! 
Re: some thing about the spectral method
this a nice practical book
"Spectral/hp element method for CFD" Karniadakis, G.E & Sherwin, S. 
Re: some thing about the spectral method
Indeed, the book of Sherwin and Karniadakis is an very interesting one. But is deals with spectral/hp _elements_, not with the spectral method.
The spectral method uses a single (periodic) domain with a large number of functions. The spectral elements divides the domain in elements, off course, and use a smaller set of base functions within each element. It is a very efficient way of achieve high accuracy, similar to what is possible with the spectral method but much more flexible when it comes to dealing with complex geometries. 
Re: some thing about the spectral method
You'll want to read the book by John P Boyd, Chebyshev and Fourier Spectral Methods. John has a free copy of the book on his website. See more details at the CFD book section listed below. http://www.cfdonline.com/Books/show...hp?book_id=364

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