一类k步2k+1阶刚性稳定的二阶导数方法

A CLASS OF STIFFLY STABLE K-STEP SECOND DERIVATIVE METHODS OF ORDER 2K+1

本文导出新的二阶导数线性多步法,这些方法适合于求解刚性方程组,方程的稳定域由根轨迹法给出,数值试验显示方法是行之有效的．

In this paper, we present a new class of second derivative multistep methods. These formulas are shown to be suitable for stiff system of ordinary differential equations. The stability regions of these new methods are plotted. Numerical experiments are carried out to show strong performance of these methods.