On Convergence of Iterative Methods for
         a Fourth-Order Discretization Scheme 

     (to appear in Applied Mathematics Letters)

                    Jun Zhang 

Department of Mathematics, The George Washington University, 
Washington, DC 20052, USA

zhang@math.gwu.edu     http://gwis2.circ.gwu.edu/~yaohan

                  May 29, 1996

                    Abstract 

We prove that, under certain conditions, some classical 
iterative methods converge for the linear system resulting 
from a fourth-order compact discretization of the 
convection-diffusion equation. 

Key words: Linear systems, iterative methods, fourth-order 
compact discretization scheme, convection-diffusion equation.