Hello,

I know that there are some forum members with considerable mathematics knowledge. So I'll just ask...

Can anyone please explain exactly how to compute weights and abscissae on the integral range -1 to +1 for N-degree Gaussian-Quadrature?

I have read the relevant chapter in Numerical Recipes and I studied the Wolfram Research page, but for some reason I just didn't get it. The numbers always just appear in tabulated form and for some reason I never understand how they got there.

I really want to be able to understand the exact numerical formulae for these numbers without resorting to using tables or Mathematica.

Thanks for any help.

Sincerely, Chris.