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Interpolation error.

  1. Oct 31, 2013 #1
    1. The problem statement, all variables and given/known data
    Interpolation for the function f(x)=cos(x) for evenly distributed values of x in [0,π] (h=xi+1-xi, xi=ih, i=0,1,...,πh) is carried out. Also known are f(xi).
    I am asked to determine the value of h so that the interpolation's error is ≤ 5*10-8.

    2. Relevant equations

    3. The attempt at a solution
    I have found f'''(x) for x in [0,π] to be ≤ 1.
    Now I am stuck with evaluating |(x-xi+1)(x-xi)(x-xi-1)|.
    I'd truly appreciate some assistance. Thanks in advance!
  2. jcsd
  3. Oct 31, 2013 #2
    I have managed on my own with this one. Thank you in any case :).
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