Banach空间中非线性刚性DDEs单支θ-方法的数值稳定性

The Numerical Stability of one-leg θ-methods for Nonlinear Stiff DDEs in Banach Spaces

将单支θ-方法应用于Banach空间中非线性刚性变延迟微分方程初值问题,针对实验问题类D0(α,β),得到其稳定性及渐近稳定性结果。

In this paper,one-leg θ-methods is applied to the stiff delay differential equations（ DDEs） with a variable delay in Banach spaces,for the test problem class D0（ α,β）,a series of new stability results of the one-leg θ-methods are obtained.