Gauss-Seidel

One can use the Gauss-Seidel solver to sole the 2D Poisson Equation:

$LaTeX: \displaystyle \frac{\partial^2 f}{\partial x^2} + \frac{\partial^2 f}{\partial y^2} = S; \nabla^2 f = S$ $\displaystyle \frac{\partial^2 f}{\partial x^2} + \frac{\partial^2 f}{\partial y^2} = S; \nabla^2 f = S$