欧拉方程组的再生核解法

  • 张钦礼
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  • 华北航天学院 基础部

网络出版日期: 2001-02-25

Reproducing Kernel Method for Solving Euler Equations

  • ZHANG Qin-li
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Online published: 2001-02-25

摘要

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.

本文引用格式

张钦礼 . 欧拉方程组的再生核解法[J]. 河北大学学报(自然科学版), 2001 , 21(1) : 17 -25 . DOI: 10.3969/j.issn.1000-1565.2001.01.005

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.

参考文献

[1] 吴勃英, 崔明根. 再生核空间中的微分算子样条小波 [J]. 高等学校计算数学学报 2000.doi:10.3969/j.issn.1000-081X.2000.02.013
[2] Rodriguez G, SEATUZ S. Numerical solution of the finite moment problem in a reproducing kernel Hilbert space [J]. Journal of Computational and Applied Mathematics 1990, 33.
[3] 傅德薰. 流体力学数值模拟 [M]. 北京:国防工业出版社 1996.
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