In this paper, some Piecewise Parallel Iterative schemes for the first order hyperbolic equation with constant coefficients are given. Then, the stability and the error is analyzed. The benefit of these schemes is high error and good parallelism.% 针对一阶常系数双曲型方程初边值问题,本文给出了几个半显格式的分段并行迭代算法,分析了它们的稳定性与收敛性。该方法的优点是既有高精度又有很好的并行度。
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