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Assume we have a function f(x) and we have samples coming in, except they are not at uniform intervals. (e.g. you have f(x) at x = 0.1, 0.2, 0.7, 1.9, 2.8... etc).

What is the correct way to compute first and second order backwards derivatives? Is there a way to make it more robust (e.g. similar to: http://en.wikipedia.org/wiki/Finite_difference_coefficient#Forward_and_backward_finite_difference)

Thank you

  • An answer for first-order derivatives can be found here. A formula of the same type can be obtained similarly for second-order derivatives. – EditPiAf Sep 15 '17 at 19:53

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