比例延迟方程块θ—方法的数值稳定性

THE NUMERICAL STABILITY OF THE BLOCK θ-METHODS FOR DELAY DIFFERENTIAL EQUATION

针对一类特殊的试验方程—比例延迟方程 ,引入离散化约束的变步长网格方法 ,得到比例延迟方程块θ—方法的数值稳定性的充要条件 .

This paper deals with the numerical stability of block θ-methods for delay differential equation. We give the necessary and sufficient conditions of the numerical stability of block θ-methods.