| 一类带有差分扰动项的显式线性多步法的讨论 |
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| 引用本文： | 李旺尧.一类带有差分扰动项的显式线性多步法的讨论[J].计算数学,1980,2(3):203-208. |
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| 作者姓名： | 李旺尧 |
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| 作者单位： | 中国科学院计算中心 |
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| 摘 要： | 一、方法的形成 求解常微分程初值问题 y′=f(x,y),y(a)= y_0,x∈a b).(1.0)一般形式的显式k阶线性多步法表成(见3]):
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A DISCUSSION ON A CLASS OF EXPLICIT LINEAR MULTISTEP METHODS WITH DIFFERENCE PERTURBATION TERMS |
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| Institution: | Li Wang-yao Computing Center, Academia Sinica |
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| Abstract: | This paper presents a class of explicit linear multistep methods with differenceperturbation terms, and the convergence of this methods is shown. The stability of the firstorder method and a family of the second order methods is discussed. The conclusion we arrivedat is that they can be applied to solutions of stiff ordinary differential equations. |
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