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Volume 19, Issue 3
The Numerical Methods for Solving Euler System of Equations in Reproducing Kernel Space $H^2(R)$

Bo-Ying Wu & Qin-Li Zhang

J. Comp. Math., 19 (2001), pp. 327-336.

Published online: 2001-06

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  • Abstract

A new method is presented by means of the theory of reproducing kernel space and finite difference method, to calculate Euler system of equations in this paper. The results show that the method has many advantages, such as higher precision, better stability, less amount of calculation than any other methods and reproducing kernel function has good local properties and its derived function is wavelet function.

  • Keywords

Euler system of equations, Reproducing kernel method, Finite difference method, Wavelet function.

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COPYRIGHT: © Global Science Press

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@Article{JCM-19-327, author = {Wu , Bo-Ying and Zhang , Qin-Li}, title = {The Numerical Methods for Solving Euler System of Equations in Reproducing Kernel Space $H^2(R)$}, journal = {Journal of Computational Mathematics}, year = {2001}, volume = {19}, number = {3}, pages = {327--336}, abstract = {

A new method is presented by means of the theory of reproducing kernel space and finite difference method, to calculate Euler system of equations in this paper. The results show that the method has many advantages, such as higher precision, better stability, less amount of calculation than any other methods and reproducing kernel function has good local properties and its derived function is wavelet function.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8985.html} }
TY - JOUR T1 - The Numerical Methods for Solving Euler System of Equations in Reproducing Kernel Space $H^2(R)$ AU - Wu , Bo-Ying AU - Zhang , Qin-Li JO - Journal of Computational Mathematics VL - 3 SP - 327 EP - 336 PY - 2001 DA - 2001/06 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8985.html KW - Euler system of equations, Reproducing kernel method, Finite difference method, Wavelet function. AB -

A new method is presented by means of the theory of reproducing kernel space and finite difference method, to calculate Euler system of equations in this paper. The results show that the method has many advantages, such as higher precision, better stability, less amount of calculation than any other methods and reproducing kernel function has good local properties and its derived function is wavelet function.

Wu , Bo-Ying and Zhang , Qin-Li. (2001). The Numerical Methods for Solving Euler System of Equations in Reproducing Kernel Space $H^2(R)$. Journal of Computational Mathematics. 19 (3). 327-336. doi:
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