欧拉方程组的再生核解法

Reproducing Kernel Method for Solving Euler Equations

利用再生核理论和有限差分法给出了一种计算欧拉方程组的新方法 .由于再生核函数具有良好的局部性质且其导函数又为小波函数 ,数值试验表明该方法具有精度高、稳定性好及计算量小等诸多优点 .

A new method for calculating Euler equations is presented by means of the theory of reproducing kernel space and finite difference method.The results show that the method has much advantages,such as higher 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