THE REMAINDER-EFFECT ANALYSIS OF FINITE DIFFERENCE SCHEMES AND THE APPLICATIONS

Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (1): 87-96.

THE REMAINDER-EFFECT ANALYSIS OF FINITE DIFFERENCE SCHEMES AND THE APPLICATIONS

刘儒勋, 周朝晖

Dept. of Math. University of Sci & Tech.of China, Hefei

收稿日期:1992-05-28 出版日期:1995-01-18 发布日期:1995-01-18

THE REMAINDER-EFFECT ANALYSIS OF FINITE DIFFERENCE SCHEMES AND THE APPLICATIONS

Liu Ru-xun, Zhou Zhao-hui

Dept. of Math. University of Sci & Tech.of China, Hefei

Received:1992-05-28 Online:1995-01-18 Published:1995-01-18

摘要/Abstract

摘要： In the present paper two contents are enclosed .First ,the Fourier analysis approach of the dispersion relation and group velocity effect of finite difference schemes is discussed.the defects of the approach is pointed out and the correction is made;Second,a new systematic analysis method -remaider -effect analysis (abbr.REAM)is proposed by means of the modified partial differential equations (abbr MPDE)of finite difference schemes.The analysis is based on the synthetical study of the rational dispersion-and dissipation relations of finite difference schemes.And the method clearly possesses constructivity

关键词: wavelet transform, eddy, scaling law, finite difference scheme, remainder effect, group velocity

Abstract: In the present paper two contents are enclosed .First ,the Fourier analysis approach of the dispersion relation and group velocity effect of finite difference schemes is discussed.the defects of the approach is pointed out and the correction is made;Second,a new systematic analysis method -remaider -effect analysis (abbr.REAM)is proposed by means of the modified partial differential equations (abbr MPDE)of finite difference schemes.The analysis is based on the synthetical study of the rational dispersion-and dissipation relations of finite difference schemes.And the method clearly possesses constructivity

Key words: wavelet transform, eddy, scaling law, finite difference scheme, remainder effect, group velocity

刘儒勋;周朝晖. THE REMAINDER-EFFECT ANALYSIS OF FINITE DIFFERENCE SCHEMES AND THE APPLICATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(1): 87-96.

Liu Ru-xun;Zhou Zhao-hui. THE REMAINDER-EFFECT ANALYSIS OF FINITE DIFFERENCE SCHEMES AND THE APPLICATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(1): 87-96.

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THE REMAINDER-EFFECT ANALYSIS OF FINITE DIFFERENCE SCHEMES AND THE APPLICATIONS

THE REMAINDER-EFFECT ANALYSIS OF FINITE DIFFERENCE SCHEMES AND THE APPLICATIONS

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