Based on the asymptotic properties for numerical Integral formulas, this paper obtains a class of finite difference methods for solving initial value problems of Odinary Differential Equations, and studies the consistency and stability of new methods.

• 摘要基于数值积分公式中间点的渐近性质，获得了一类求解常微分方程初值问题有限差分方法，研究了新方法的相容性和稳定性。