Abstract
This paper develops the two-step Runge–Kutta methods (TSRKs) for the neutral delay differential-algebraic equations (NDDAEs) and proves that the TSRKs are asymptotically stable for linear NDDAEs under the assumption that the coefficient matrices are all upper triangular, which is necessary to formulate the stability result. The discussions are supported by the numerical experiments.
2000 AMS Subject Classification :
Acknowledgement
The work is supported in part by the Scientific Computing Key Laboratory of Shanghai University and the Shanghai Leading Academic Discipline Project (No.S30405).