摘要
本文对一类求解常微分方程初值问题的带有高阶导数项的块隐式单步方法的数值稳定性进行了详细的讨论。通过引入几个引理从而得到方法的稳定性判别多项式R(h),并给出了方法是A-稳定的条件。
In this paper, the numerical stability properties of block implicit one-step methods with higherorder derivative are discussed. Several lemmas are introduced to obtain the stability polynomial R(h) of methods, and then the theorem of numerical stability fot methods is given.
关键词
导数
块隐式单步法
数值稳定性
初值问题
常微分方程
Ordinary differential equation
Higher derivative
Numerical stability property
Block method
