numerical gradient with extra-large data size

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Hi:
I have a 3D coordinate with significantly large size: 1e9*3.
and I have value of parameter at each of these points such as T: 1e9*1.
now I need the gradient of T at each direction, such as dT/dx, dT/dy, dT/dz.
is there anyway to do this?
Thanks!
Li

回答(1 个)

Walter Roberson
Walter Roberson 2018-1-16
You might be able to take advantage of "tall arrays" https://www.mathworks.com/help/matlab/tall-arrays.html
  9 个评论
Walter Roberson
Walter Roberson 2018-1-17
See https://projecteuclid.org/download/pdf_1/euclid.rmjm/1250127676 for a discussion of algorithms, and http://www.tandfonline.com/doi/pdf/10.1080/02626667409493918 for more information on the one they recommend.
But I wonder what you are headed for?
http://journals.ametsoc.org/doi/abs/10.1175/1520-0493%281994%29122%3C1611%3AUOMIFM%3E2.0.CO%3B2 "Use of Multiquadric Interpolation for Meteorological Objective Analysis "
Yu Li
Yu Li 2018-1-17
编辑:Walter Roberson 2018-1-17
Hi:
thanks for your reply. I will read these papers and see if I could find any solution.
the original data sets are come from a high fedelity CFD code using large eddy simulation (LES), the CFD software only exports the velocity but no velocity gradient. but we need the gradient to do further analysis.
Thanks!
Li

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