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中文摘要：
针对WENO格式的构造，本文给出了一个WENO为5阶的充分条件，降低了Henrick等人提出的充分条件对于权因子的精度要求．另外，对于Jiang和Shu提出的WEN05中的光滑因子中两项的系数做出了调整，并结合Borges等人的方法得到了新的WENO权因子计算方法．从数值试验的结果可以看出，新的WENO格式对于连续波形的模拟要优于原格式．
英文摘要：
In this paper, we give a sufficient condition on the weights of WENO5 for fifth-order convergence, which has a lower order requirement on the weights than condition previously proposed by Henrick et al. And we adjust the coefficients of the smoothness indicator of WENO5 introduced by Jiang and Shu. Combined with the method of Borges et al, we get a new way to compute the weights of WENO5 scheme. From the results of numerical experiments, we find that in smooth region WENO5 scheme based on this new smooth indicator has a better resolution than the old one.
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