### Numerical analysis and gaussian quadrature

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##### Reference no: EM13123950

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]

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