CONVERGENCE OF PARALLEL DIAGONAL ITERATION OF RUNGE-KUTTA METHODS FOR DELAY DIFFERENTIAL EQUATIONS  

作　　者：Xiao-huaDing MingzhuLiu 

机构地区：[1]DepartmentofMathematics,HarbinInstituteofTechnology(Weihai),Weihai264209,China

出　　处：《Journal of Computational Mathematics》2004年第3期361-370,共10页计算数学（英文）

摘　　要：Implicit Runge-Kutta method is highly accurate and stable for stiff initial value problem. But the iteration technique used to solve implicit Runge-Kutta method requires lots of computational efforts. In this paper, we extend the Parallel Diagonal Iterated RungeKutta(PDIRK) methods to delay differential equations(DDEs). We give the convergence region of PDIRK methods, and analyze the speed of convergence in three parts for the P-stability region of the Runge-Kutta corrector method. Finally, we analysis the speed-up factor through a numerical experiment. The results show that the PDIRK methods toDDEs are efficient.

分 类 号：O175[理学—数学]