多延迟微分代数系统的Runge-kutta方法稳定性分析

Stability Analysis of Runge-Kutta Methods for Multi-delay Differential-Algebraic Systems

多延迟微分代数系统广泛出现于工程领域。针对一类刚性多延迟代数系统,进行了变步长Runge Kutta方法的稳定性分析,其判据基于非经典Lipschitz条件。

Multidelay differentialalgebraic systems(MDDAEs)are frequently encountered in various fields. This paper deals with the stability of variablestep RungeKutta methods for a class of nonlinear stiff MDDAEs with nonclassical Lipschitz condition.