THE STABILITY FOR NUMERICAL INTEGRATION OF SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS
常微分方程数值积分的计算稳定性

In this paper the following linear system of ordinary differential equations are considered, where A is a(n×n)-dimensional constant matrix, X and F are n-dimensional vectors. In view of stability, the essential connection between step of integration, numerical integ-rative formula and property of the differential equations are studied, general criterion of choice of step of integration is given.