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线性多步法各系数约束条件的证明
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摘要:
本文利用二项式定理,线性变换和恰当交换有限项有界元素多重求和的顺序的方法,给出了利用线性多步法求解常微分方程初值问题时各系数之间约束关系的严格证明,为新算法的实现奠定了基础。
关键词:  网络瞬态响应 电路 线性多步法 CAD
DOI:10.3969/j.issn.1001-893X.
基金项目:
Proof of Constrains for Coefficients of Linear Multistep Algrithm
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Abstract:
In this paper,a new and rigorous proof of constrains for coefficients of linear multistep algrithm is given by using binomial theorem,linear transform and commuting the order of summation. A series of practical algrithms can be deduced by utilizing the proved constrains.
Key words:  Circuit and System,CAD,Transient Response,Linear multistep algrithm