数值求解常微分方程初值问题的一类并行算法  

Some Kinds of Parallel Computation Methods for Initial Value Problems in ODEs

作　　者：宋晓秋[1] 袁兆鼎 刘德贵[1] 李伯虎[1] 

机构地区：[1]北京计算机应用与仿真技术研究所

出　　处：《系统仿真学报》1996年第1期6-12,共7页Journal of System Simulation

摘　　要：本文给出了一类数值求解常微分方程初值问题的并行算法，该类并行算法适用于ＭＩＭＤ型多处理机系统，具有良好的收敛性和数值稳定性，此类并行算法对Ｍｉｒａｎｋｅｒ和Ｌｉｎｉｇｅｒ１９６７年提出的一种构造思想做了圆满的解决。In this paper, some kinds of parallel computation methods for initial value problems in ODEs on MIMD computer are discussed. By some skills, which can assure the order of convergence that is just mistaken by Miranker and Liniger for their parallel Runge-Kutta Method.Two kinds of parallel algorithms are construted, i. e., parallel Runge-Kutta method and parallel combination method.

关 键 词：常微分方程 并行算法 初值问题 解 

分 类 号：O241.81[理学—计算数学]