Heuristic method approach to the computational stability analysis of finite-dfference equations
启示性方法用于分析有限差分方程的计算稳定性（英文）

Some representative examples are adopted in this paper to discuss the differences between the stability conditions deduced from the original partial differential equations and that obtained from the expansion equations. It shows that for some difference equations, we'd better adopt the expansion equations in the process of the heuristic method being applied to these difference equations. In another part, apagoge is used in this paper to tell us that not all the stability conditions deduced by the heuristic method are the necessary computational stability conditions, which should be given attention in their applications.