(newbie) spectral derivative

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Jack Silver
Jack Silver 2014-4-10
评论： Jack Silver 2014-4-10
I have data that form a scalar field on a 2D grid, evenly spaced. There is no particular periodicity patern in my data.
I want to calculate the value of the gradient at each grid point with a spectral method in MATLAB. Using simple FFT does not seem to work, especially near the borders (probably because the data are not periodic). I have ears about DCT, but I am not sure.
I would appreciate advice on the best way to do this.
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Sean de Wolski
Sean de Wolski 2014-4-10
Why not just use gradient?
Jack Silver
Jack Silver 2014-4-10
Thanks, for your answer, but my understanding is that the "gradient" function is based on finite difference, which is not accurate enough for my needs.
I would definitly prefer a spectral solution.

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