数值求解对流扩散方程有限分析方法的稳定性与收敛性

The Stability and Convergence of the Finite Analytic Method for the Numerical Solution of Convective Diffusion Equation

本文利用椭圆型偏微分方程所满足的最大最小值原理研究有限分析方法,证明了数值求解对流扩散方程有限分析方法的稳定性与收敛性,顺便指出了前人理论中的错误.

In this paper we make a close study of the finite analytic method by means of the maximum principles in differential equations and give the proof of the stability and convergence of the finite analytic method.