Convergence of Iterative Methods for
a Fourth-Order Discretization Scheme

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


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.

This paper has been published in Applied Mathematics Letters, Vol. 10 (2), 49--55 (1997).