本文研究双曲型守恒律的高精度差分方法。
In this paper, a high order accurate difference scheme is presented for nonlinear hyperbolic conservation laws.
考虑一个带有松驰机制的双曲型守恒律组，证明了当初始数据适当小时，整体解的存在及光滑性。
A hyperbolic system of conservation laws with relaxation is considered, and the existence and smoothness of the solution is proved.
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。
Since 1950' s, the research of numerical method for hyperbolic conservation laws is one of key research directions in computational mathematics.
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。
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。
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.
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