非线性变延迟微分方程隐式Euler方法的数值稳定性

The Numerical Stability of Implicit Euler Methods for Nonlinear Delay Differential Equations with a Variable Delay

在减弱对非线性刚性变延迟微分方程初值问题本身的约束条件的前提下 ,将已有的文献中隐式Euler方法数值稳定性的结论由常延迟的情形推广到了变延迟的情形 。

In this paper,the author discusses the numerical stability of implicit Euler for nonlinear delay differential equations(DDEs)with a variable delay.He discreases the condition of the aforementioned equations.When the implicit Euler methods applied to nonlinear DDEs with a variable delay,he proves that the method is stable.