中文摘要：

本文研究了线性传输方程的数值计算问题.利用Godunov格式、Entropy格式、Ultra-bee格式和Entropy-Ultra-bee格式对线性传输方程进行了数值计算,获得了相应的数值结果.数值实验结果表明Entropy-Ultra-bee格式结合了Entropy格式和Ultra-bee格式的优点,在整个计算区域都有比较高的分辨率,而且没有出现非物理振荡.

英文摘要：

In this paper, we investigate the numerical computation of linear advaction equation. Using the Godunov scheme, Entropy scheme, Ultra-bee scheme and Entropy-Ultra-bee scheme, the linear advaction equation is solved numerically, and we obtain the corresponding numerical results. Numerical results show that the Entropy-Ultra-bee scheme combines the advantages of Entropy scheme and Ultra-bee scheme, and it has good resolution in the whole computational domain and does not produce non-physical oscillations.