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物理学报  2005 

A harmonized multi-time difference scheme and its stability
协调多时次差分格式及其稳定性

Keywords: harmonized multi-time difference scheme,stability,the least square
协调多时次差分格式,
,计算稳定性,,最小二乘法

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Abstract:

In this paper, a harmonized multi-time difference scheme is established, which can be easily constructed on any numerical difference scheme of ordinary differential equations. A sufficiently stable condition is proved in mathematics. If the memorial coefficients determined by an improved method of least square, it is expected that this new scheme can integrate stably in a longer period, and a better result can be achieved.

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