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Numerical implementation of a matrix derivative

  1. Dec 1, 2016 #1
    1. The problem statement, all variables and given/known data
    Hi all!

    I'm having trouble understanding the implementation of some derivatives in the expression (1) of this article:
    https://www.ncbi.nlm.nih.gov/pubmed/26248210

    How do I implement ∑(ij)ijw ?

    Thank you all in advance.
    2. Relevant equations
    w is a square matrix(120x120) with periodic boundary conditions.

    3. The attempt at a solution
    I understood it as the second derivative of the matrix w, but it doesn't seem to be correct.
     
  2. jcsd
  3. Dec 1, 2016 #2

    DrClaude

    User Avatar

    Staff: Mentor

    It is not exactly the derivative of a matrix, but of a scalar field, which computationally is represented as a matrix.

    Why do you say this is not correct?
     
  4. Dec 1, 2016 #3
    Because the obtained results don't have any physical meaning considering the problem, so I'm not sure that the implementation is correct.
    How would you implement that equation ?

    Thank you very much for your attention!
     
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