求解双曲型方程的并行算法

Parallel Algorithm for Solving Hyperbolio Equation

对一族求解双曲型方程的初边值问题,采用有效分组显式并行算法构造了分组显示差分格式。其局部截断误差为o(τ+h),稳定性条件为0<r≤2r=aτh,最后给出了数值例子,数值结果和理论结果是吻合的。

A class of effective group explicit parallel algorithms（GE、GER、GEL、AGE） are constructed for solving the hyperbolio equation ut -1- aux = 0 The local truncation error is of order0（ τ ＋ h ） . The stability eondition is 0〈 r≤2. Finally, a numerical example demonstrates the theoretical results.