CAJ | 학술논문

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。
대해m유Stiff상휘분방정초치문제제출료가고도병행계산적r-점r+3계A-은정화 r-점r+2계L-은정적량류은식단괴혼합법，유차량류방법소도출적방정조가용“완전평방”질대법해지，여사용r개처리궤병행계산，칙매개처리궤상적LU-분해운산량위m3/3+O(m2)，문미급출료산례。
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.