具有长方系数矩阵的微分代数方程组数值解的渐近稳定性

Asymptotic stability of linear multistep methods and Runge-Kutta methods for homogeneous differential-algebraic equations with rectangular coefficients

研究了具有长方系数矩阵的微分代数方程组的数组稳定性,利用克罗尼克标准型将原系统等价转化,获得了线性多步法和龙格-库塔法求解系统时的渐近稳定性结果.

This paper is concerned with the asymptotic stability of numerical methods applied to linear differential-algebraic equations.The coefficient matrices of the system are constant rectangular matrices.We consider linear multistep methods and Runge-Kutta methods applied to the system.The stability results are established under Kronecker canonical form of the original system.