解刚性常微分方程的一种线性多步法

A Linear Multistep Method for Solving Stiff Ordinary Differential Equations

文中考虑一类Ａ（α）—稳定的线性多步法它具有最大绝对稳定域，在同样精度的情况下给出了一组２到７阶的线生ｋ步法，它比同阶的ＧＥＡＲ方法及ＸＢＷ方法的绝对稳定域都大，并且适合于求解刚性常微分方程。

Consider a class of A(α)-stable linear multistep methods: it has the most absolute stability region. Under the assumption of the same accuracy, a linear k-step method of order 2 to 7 is given, it has a larger absolute stability region than that of Gear's method and XBW method. It is suitable for solving initial value problems of stiff ordinary differential equations.