一类多步Runge-Kutta方法的保单调性

Monotonicity-preserving of a class of multistep Runge-Kutta methods

在对步长作了一定的限制下研究了一类多步Runge-Kutta方法的保单调性,并得到了此类多步Runge-Kutta方法的保单调的充分条件,最后给出了试验方程y′=λ(t)y的情况.

A analysis of monotonicity properties for a class of multistep Runge-Kutta methods was provided. A sufficient condition for a class of multistep Runge-Kutta methods to be monotonicity when applied to any given ODEs was established, where only a certain stepsize restriction was required. A test equation, y′=λ（t）y, was given to illustrate the results.