Question:
Numerical analysis and Gaussian quadrature
A function of two variables f(x,y) is integrated over the square [0,2] x [-1,1]. ex: integral from 0 to 2 , integral from -1 to 1 f(x,y) dx dy. (I wanted to input integral symbols there but didn't know how). Build a 25- point numerical integration scheme based on 5- point Gaussian quadrature in the x and y directions. Specify the quadrature points and the summation weights.
Note: f(x,y) is not given meaning it may be any function of 2 variables over the square [0,2] x [-1,1]