一类无条件稳定的显式方法

众所周知,在使用线性方法(如线性多步法,Runge-Kutta方法,合成多步法等)对Stiff常微分方程组初值问题进行数值积分时,为了保证该初值问题数值解是稳定的,则要求数值方法在某种意义下是无条件稳定的.为此,所使用的线性方法首先必须是隐式的.在使用隐式线性方法对Stiff系统初值问题进行数值解时,每向前积分一步,往往

UNCONDITIONAL STABLE EXPLICIT METHODS

In ths paper, we studied further the methods proposed by S. O. Fatunla and pointout that one of all important inferences in [7] is incorrect. This approach in [7] wasfurther extended to construct some L-stable sixth-order explicit one-step methods andcorresponding multistep methods. Numerical results have shown that they are very ef-ficient for some stiff systems.