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Math Help - Degree of Precision for Gaussian Quadrature scheme

  1. #1
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    Degree of Precision for Gaussian Quadrature scheme

    When we can freely "chose" points x_k anywhere then we can optimally place them...thus we get the Gaussian Quadrature formulas.

    My question is what is the Degree of Precision for Gaussian Quadrature scheme?
    that uses (n+1) points (n sub intervals)?

    Degree of Precision for Gaussian Quadrature scheme-untitled-1.png

    x^*_k and a^*_k denote the Gaussian quad points...
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  2. #2
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    Well I seemed to have answered my own question with a little research and some quick proof (sloppy).
    But basically if u are give n points then you will have a degree of accuracy of 2n-1

    I basically took a comparison of points version there accuracy and realized that the pattern was two times the number of points minus one....

    See Link for more detail....
    http://s3.amazonaws.com/cramster-res...77_n_22315.pdf

    If this is wrong please let me know thanks!
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