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中文摘要：
一个第四顺序的松驰计划被导出并且在一和二种空间尺寸适用于守恒定律的夸张系统。计划基于一第四顺序中央加权实质上非摆动(CWENO ) 为一个维的盒子的重建，它被 dimension-by-dimension 途径概括到二维的盒子。大稳定性领域 Runge-Kutta-type 解答者 ROCK4 被用于时间集成。产生方法也不要求 Riemann 解答者也不 Jacobians 的计算的使用，因此，它享受松驰计划的主要优点。高精确性和现在的方法的高分辨率的性质在一个维、二维的数字实验被表明。
英文摘要：
A fourth-order relaxation scheme is derived and applied to hyperbolic systems of conservation laws in one and two space dimensions. The scheme is based on a fourthorder central weighted essentially nonoscillatory （CWENO） reconstruction for one-dimensional cases, which is generalized to two-dimensional cases by the dimension-by-dimension approach. The large stability domain Runge-Kutta-type solver ROCK4 is used for time integration. The resulting method requires neither the use of Riemann solvers nor the computation of Jacobians and therefore it enjoys the main advantage of the relaxation schemes. The high accuracy and high-resolution properties of the present method are demonstrated in one- and two-dimensional numerical experiments.
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