A note on convergence of line iterative methods for a nine-point matrix

Abstract

We prove the convergence of line iterative methods for solving the linear system arising from a 9-point compact discretization of a special two dimensional convection-diiusion equation. The results provide rigorous justiication for the numerical experiments conducted elsewhere, which demonstrate the high accuracy and stability advantages of the fourth-order compact scheme.

DOI: 10.1016/S0893-9659(01)00164-1

Extracted Key Phrases

Cite this paper

@article{Karaa2002ANO, title={A note on convergence of line iterative methods for a nine-point matrix}, author={Samir Karaa and Jun Zhang}, journal={Appl. Math. Lett.}, year={2002}, volume={15}, pages={495-503} }