Gauss-Legendre Quadrature coefficients

[Grozny]

When I was in college I found the abscissas and weights for a 32-point Gauss-Legendre Quadrature and wrote a program to do that. But I can't find that information now and need it again.

It doesn't have to be 32-point; anything from 30 to 50 would be fine, but 16 digits of accuracy please.

 

[jasonRF]

Chapter 25 of Abramowitz and Stegun has what you want. An online edition can be found here:

http://www.convertit.com/Go/Convertit/Reference/AMS55.ASP?Res=100&Page=875

The text at the beginning of the chapter list formulas, and the tables at the end of the chapter provide numerical values of the abscissas and weights. For Gaussian integration based upon Legendre polynomials, you get 24 digits for up to 96-point quadrature. Enjoy.

jason

 

[Grozny]

Thanks!

I can't wait to hurry home and start typing 96 24-digit numbers into my computer!