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Math Help - Numerical Integration

  1. #1
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    Numerical Integration

    Hi,

    Please comment on the best suited numerical integration scheme for the following integrand.

    (phi)/(1-a*phi)^2

    Phi is a 4th order polynomial equation in x and a is a real positive number. Integration is to be done with respect to x and limits are from 0 to 1.

    Thanks in advance.
    Dekar
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  2. #2
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    Quote Originally Posted by dekar View Post
    Hi,

    Please comment on the best suited numerical integration scheme for the following integrand.

    (phi)/(1-a*phi)^2
    What is so bad with using Simpon's Method? That is how all computers do it.
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  3. #3
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    Hi,
    Thanks for the reply.

    This function is special in the sense that it involves poles. So I am looking for the suitability of the scheme, which would capture the integration correctly.

    If you expand the denominator then it will be a series. Simson's rule or for that sake quadrature will only give answer up to a certain power, with a little error.

    So if there is some special consideration made for such type of functions?

    Thanks
    Dekar
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