(11C) Gaussian integration

[Thomas Klemm]

(01-14-2014 01:40 PM)Namir Wrote:  Is it a Gaussian Quadrature???

Sure.

Quote:It delivers exact results, even using just 1 subinterval, for f(x) being a polynomial of degrees up to (and including) 5th, while evaluating f(x) just 3 times per subinterval.

Thus I assume that 3 points are used: 0, \(\pm\sqrt{\frac{3}{5}}\). The weights are \(\frac{8}{9}\) and \(\frac{5}{9}\).

Quote:If so, I don't see where the quadrature weights are stored!

10 .6
12 SQRT
13 *

22 5
23 *

34 8
35 *

Quote:Do you have a link to the algorithm?

Gaussian quadrature

HTH
Thomas