两类求解刚性常微分方程的指数拟合法

本文提出了两类不需计算高阶全导数的３价和４价指数拟合的单步法，这些方法分别改进或推广了［１］－［４］中的某些方法，初步数值试验表明，这些方法用于求解某些ｓｔｉｆｆ问题，优于［１］－［４］中同阶方法。

ON THE EXPONENTIAL FITTED ONE-STEP METHODS FOR SOL VING STIFF ODES

In this paper,a few exponential fitted implicit one-step methods with A-stability and L-stability are suggested respectively.These methods need no evaluation of the total deriva-tives of the function f(x,y),and improved and generalized some results obtained by l]-4] These methods presented in this paper have the advantage of less amount of work and good stability comparing with the same order methods in some literatures, which are efficient for some stiff and highly oscillatory system of ODES in the numerical results at the end of the paper here.