I am needed something about calculation of surface integration using Gause integration method for a panel (like retangular panels) using high accuracy. This could be able to integrate for a given function and local coordinate, the output of intergal could be obtained. If you know some references or separate subroutine, please tell me to find it. Thanks!

(1). Have you looked into college Calculus or Advanced Calculus books ?

I am looking something as residual coefficients that give accurate value over the surface, not simple one. I have many subroutine to do that, now looking n=200, means the number of w(k)and s(k) by more than 200 coef.

You didn't mention whether the functions are singular or regular! Anyway, there are a number of good integration routines at www.netlib.org

Good luck

Adrin Gharakhani