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some thing about the spectral method

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Old   February 15, 2006, 23:43
Default some thing about the spectral method
  #1
ztdep
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Hello:

Does somebody know some good reference for the spectral method, it is about the detail of the numerical method not the theory.

regards!

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Old   February 16, 2006, 03:08
Default Re: some thing about the spectral method
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al
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this a nice practical book

"Spectral/hp element method for CFD" Karniadakis, G.E & Sherwin, S.

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Old   February 16, 2006, 04:43
Default Re: some thing about the spectral method
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Yves
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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.
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Old   February 16, 2006, 15:44
Default Re: some thing about the spectral method
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Richard
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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.cfd-online.com/Books/show...hp?book_id=364
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