Thread: Degree of Precision for Gaussian Quadrature scheme

When we can freely "chose" points 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 points (n sub intervals)?



and denote the Gaussian quad points...

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

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!