In this paper the construction of a stationary second order scheme of de Phillis' type, with optimal convergence rates, for the solution of a linear system is presented. Numerical tests have shown that the new scheme compares favorably with the very fast nonstationary second order one proposed...

In this paper, the authors extend the application of the extrapolated alternating direction implicit (E.A.D.I.) methods (Hadjidimos, 1970) to obtain the numerical solution of elliptic partial differential equations for regions involving circular symmetry.