• 论文 •

### 梯形公式局部外插法的稳定性

1. 北京永定计算站
• 出版日期:1987-03-14 发布日期:1987-03-14

### STABILITY OF METHODS OF TRAPEZOIDAL RULE WITH LOCAL EXTRAPOLATION

1. Tang Ming-duan Beijing Yongding Computer Genter
• Online:1987-03-14 Published:1987-03-14

The stability of the methods of trapezoidal rule with local extrapolation for the numericalintegration of ODEs is discussed. If the number of times of extrapolation is even, the methodsare A_0-stable and A(0)-stable. Similar methods of local extrapolation are also discussed andshown to be A_0-stable.
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 [1] J. D. Lambert, Computational Methods in Ordinary Differential Equations, John Wily & Sons, 1973． [2] W. H. Enright, F. E. Hull, B. Lindberg, Comparing numerical methods for stiff systems of ordinary differential equations. BIT. 15 (1975) . 10--48． [3] 袁兆鼎、费景高,刘德贵,刚性常微分方程初值问题数值解法,待发表. [4] 何爱芳,关于梯形法局部外插,计算数学,5:3(1983) ,326-331．
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