详细地讨论求解双曲型守恒律方程的两种高精度数值方法,即WENO方法和间断Galerkin方法,并就一些典型问题进行数值比较实验,通过在精度、计算速度和对奇异的分辨率等方面的比较,对这两个方法有了一个较详细的了解,得到了一些有用的结论.
In this paper,we discuss two kinds of high-precision numerical methods of solving hyperbolic conservation laws equations in detail,namely,WENO methods and discontinuous Galerkin methods. Through the numerical comparative tests of some typical problems,and the comparison in accuracy, computing speed and the resolution of such exotic,we understand these two methods better and obtain some useful conclusions.