The Remainder-Effect Analysis of Finite Differencee Schemes and the Applications

Liu Ru-xun; Zhou Zhao-hui

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Article Navigation > Applied Mathematics and Mechanics > 1995 > 16(1): 81-90

Liu Ru-xun, Zhou Zhao-hui. The Remainder-Effect Analysis of Finite Differencee Schemes and the Applications[J]. Applied Mathematics and Mechanics, 1995, 16(1): 81-90.

Citation:

Liu Ru-xun, Zhou Zhao-hui. The Remainder-Effect Analysis of Finite Differencee Schemes and the Applications[J]. Applied Mathematics and Mechanics, 1995, 16(1): 81-90.

Citation:

Liu Ru-xun, Zhou Zhao-hui. The Remainder-Effect Analysis of Finite Differencee Schemes and the Applications[J]. Applied Mathematics and Mechanics, 1995, 16(1): 81-90.

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The Remainder-Effect Analysis of Finite Differencee Schemes and the Applications

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

Received Date: 1992-05-28
Publish Date: 1995-01-15

Abstract

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.
- finite difference scheme,
- remainder effect,
- group velocity

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References(16)

References

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