两类隐式单块混合法  

Two Classes of Implicit One-block Hybrid Methods

作　　者：赵双锁[1] 陶永林 黄永东[1] 

机构地区：[1]西北第二民族学院信息与计算科学系,宁夏银川750021 [2]宁夏邮电通信软件中心,宁夏银川750021

出　　处：《系统仿真学报》2001年第1期78-82,共5页Journal of System Simulation

基　　金：国家自然基金资助项目!(19671039)

摘　　要：对解m维Stiff常徽分方程初值问题提出了可高度并行计算的r-点r+3阶A-稳定和r-点r+2阶L-稳定的两类隐式单块混合法，由此两类方法所导出的方程组可用“完全平方”迭代法解之，如使用r个处理机并行计算，则每个处理机上的LU－分解运算量为m3/3+O(m2)，文未给出了算例。For the initial value problems of the stiff systems of m-dimensional ordinary differential equations, this paper presents two classes of implicit one-block hybrid methods with highly parallelism, in which,one class is r-point (r+3)-order A-stable methods, the other class is r-point (r+2)-order L-stable methods. For the equation systems produced by the two classes of methods, we use complete square iterative method to solve them. If parallel computer systems with r processors are used, then LU-decomposition operation amount is m3/3+O(m2) on each processor.The end in the paper gives numerical examples.

关 键 词：Stiff常微分方程 隐式单块混合法 初值 数值解 

分 类 号：O241.81[理学—计算数学]