任意阶显式精细积分多步法在刚性方程中的应用研究

The Arbitrary Order Explicit Precise Time Integration Method for Stiff Equations

将作者提出的高精度任意阶显式精细积分多步法应用于刚性方程中。本文的方法可方便地进行不 同阶次的运算。将本文的方法与精确值和其它数值计算方法进行比较,数值计算结果表明本文方 法是一种高精度、高效率的方法。

The arbitrary order explicit precise time integration method with high accuracy is developed to sti? equations. We compare the present method with exact and other numerical methods. An important advantage of the method is that it can be used to solve sti? equations with various orders. The numerical results show that the schemes are highly accurate and computationally e?cient.