In this paper, an implicit-explicit upwind difference scheme for the first order linear hyperbolic equation is proposed using explicit scheme and implicit scheme alternately.
本文采用显格式与隐格式交替使用的方法，针对一阶线性双曲方程提出了一种隐-显迎风差分格式。
To solve the nonlinear finite difference scheme, an accelerated monotone iterative method is presented, and the explicit estimate for the rate of convergence is given.
为了求解非线性差分格式，本文建立一种加速单调迭代算法，并给出精确的收敛率估计。
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