A Class of Explicit Parallel Multistep Runge-Kutta Methods  

作　　者：Xie Yajun and Liu DeguiBeijing Institute of Computer Application and Simulation Technology P.O.Box. 3929, Beijing 100854, China 

出　　处：《Journal of Systems Engineering and Electronics》1993年第4期64-72,共9页系统工程与电子技术（英文版）

摘　　要：In this paper, a rather general class of explicit parallel multistep Runge-Kutta methods is constructed for solving initial value problem of ordinary differential equations. Also, the corresponding convergence and stability are analysed. Several parallel computational formulae are given. The numerical experiments, including accuracy, speedup, and efficiency tests show that the methods are efficient.In this paper, a rather general class of explicit parallel multistep Runge-Kutta methods is constructed for solving initial value problem of ordinary differential equations. Also, the corresponding convergence and stability are analysed. Several parallel computational formulae are given. The numerical experiments, including accuracy, speedup, and efficiency tests show that the methods are efficient.

关 键 词：Runge-Kutta method Initial value problem. 

分 类 号：N945[自然科学总论—系统科学] TN01[电子电信—物理电子学]