Since 1950' s, the research of numerical method for hyperbolic conservation laws is one of key research directions in computational mathematics.
二十世纪五十年代以来，双曲型守恒律方程数值计算方法的研究一直是计算数学中的一个重要研究方向。
In this paper, a high order accurate difference scheme is presented for nonlinear hyperbolic conservation laws.
本文研究双曲型守恒律的高精度差分方法。
In this paper, we review the development of high order, high resolution finite volume methods for 2-d hyperbolic conservation laws.
本文将针对二维双曲守衡律，对高精度、高分辨的有限体积法及其近年来的进展做一简要介绍。
The extension to the two-dimensional nonlinear hyperbolic conservation law systems is straightforward by using component-wise manner.
之后，将格式按分量形式推广到二维非线性双曲型守恒方程组。
WENO (weighted Essentially Non Oscillatroy) is a high resolution numerical scheme used for solving equations of hyperbolic conservation laws.
是求解双曲守恒律方程的高精度高分辨率数值格式。
In Chapter 1 we review some basic results on hyperbolic conservation laws.
在第1章我们首先回顾一些关于双曲守恒律的一些基本结论。
For the strictly monotonic schemes approximating single hyperbolic conservation laws, the asymptotic stability of the discrete shocks is widely believed to have been worked out.
多年以来，近似双曲型守恒律方程的严格单调差分格式的离散激波的渐近稳定性一直被普遍认为已经得到解决。
The solutions of the Hyperbolic conservation laws might develop discontinuity even if the initial conditions are very smooth.
即使初始条件十分光滑，双曲守恒律方程的解也可能出现间断。
The solutions of the Hyperbolic conservation laws might develop discontinuity even if the initial conditions are very smooth.
即使初始条件十分光滑，双曲守恒律方程的解也可能出现间断。
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