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HIghly oscillatory solutions

  1. Feb 23, 2010 #1
    are there numerical mehtods or similar to obtain highly oscillatory solutions ?

    i mean, given the solution to a certain differential equation

    [tex] y(x)= (x^{1/2}+1)sin(10000000000000x) [/tex]

    could it be 'detected' by the numerical method used, for example when you get the solution you would see a highly oscillating part , due to the frequency being very very high.
  2. jcsd
  3. Feb 23, 2010 #2
    There are several options. Look for multiple scale method, the WKB approximation, and averaging methods
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