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
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Answers (1)
Walter Roberson
on 16 Jan 2018
You might be able to take advantage of "tall arrays" https://www.mathworks.com/help/matlab/tall-arrays.html
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Walter Roberson
on 17 Jan 2018
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 "
http://www.worldscientific.com/worldscibooks/10.1142/6437 "Meshfree Approximations in MATLAB"
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