关键词: 欧拉方程组, 再生核方法, 有限差分法

Abstract: A new method for calculating Euler equations is presented by means of the theory of reproducing kernel space and finite difference meth od.The results show that the method has much advantages,such as hi gher precision,better stability,less work and other things than any other methods in that the reproducing kernel function has good local property and its derived function is wavelet function.