# Degree of Precision for Gaussian Quadrature scheme

• December 15th 2010, 05:25 PM
ductiletoaster
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)?

Attachment 20120

$x^*_k$ and $a^*_k$ denote the Gaussian quad points...
• December 15th 2010, 05:38 PM
ductiletoaster
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....