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I Decomposing a Function for Numerical Integration

  1. Sep 24, 2016 #1
    Is their a tutorial or a reference on how to decompose a function, specifically Fourier and Legendre decomposition, for numerical integration? The method I am going to use for the numerical integration is the Gauss Quadrature, and I suppose I need to decompose my function for the rule to work.

    Thank you in advance.
     
  2. jcsd
  3. Sep 25, 2016 #2
    to decompose a function in gauss quadrature method ...one does a trial and error approach leading to a stable value.
    however it depends on the nature of the function which is being integrated...
    a common/general approach is to fit more number of quadrature points in those regions where function is varying in a complex manner and keep less points in 'smooth varying regions like asymptotic regions where the function is falling off linearly.
     
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