D-Convergence Of Runge-Kutta Methods For Stiff Delay Differential Equations
Cheng Ming Huang 1, Hong Yuan Fu 2, Shou Fu Li 3, Guang Nan Chen 21 Institute of Applied Mathematics, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080, China
2 Graduate School, China Academy of Engineering Physics, Beijing 100088, China
3 Institute for Computational and Applied Mathematics, Xiangtan University, Xiangtan 411105, China
This paper is concerned with the numerical solution of delay differential equations(DDEs). We focus on the error behaviour of Runge-Kutta methods for stiff DDEs. We investigate D-convergence properties of algebraically stable Runge-Kutta methods with three kinds of interpolation procedures.
Key words: Delay Differential equations; Runge-Kutta methods; D-convergence.