In this paper , we analyzed and discussed the basic principle of the recently developed high order accuracy finite difference schemes ? eno schemes and weno schemes . based on 2nd order nnd schemes , we introduced a 3rd order wnnd scheme with jiang and shu ' s " weighted " idea and a tvd runge - kutta time discretization method 对于新近发展起来的eno格式和weno格式,本文分析并讨论了其基本构造原理,并且在二阶nnd格式的基础上,利用jiang和shu的加权思想和具有tvd性质的runge - kutta时间离散方法,建立了时、空三阶精度的wnnd格式。
In chapter 4 , we present some new techniques in designing finite difference domain decomposition algorithm for the heat equation . the basic procedure is to define the finite difference schemes at the interface grid points with smaller time step by explicit schemes , and the prior error estimates for the numerical solutions are obtained 在第四章,我们发展了一些新技术,在子区域的边界处采用小时间步长古典显式格式求解,构造了新的区域分解算法,得到了差分解的先验误差估计。