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一个计算微分特征列集的简化算法

发表时间:2011-07-15  浏览量:1420  下载量:402
全部作者: 特木尔朝鲁,韩晓燕,田毅
作者单位: 上海海事大学文理学院;内蒙古工业大学理学院
摘 要: 将纯代数情形的多项式系统特征列集算法推广为微分情形,给出计算微分多项式系统微分特征列集的一种机械化简化算法,较大程度地克服了计算微分特征列集大工作量的困难。该算法可在微分方程领域诸多相关问题(如对称、守恒律计算)中广泛应用。
关 键 词: 数学机械化;吴方法;微分多项式系统;微分特征列集;算法
Title: An improved algorithm for computing differential characteristic set
Author: Temuer CHAOLU, HAN Xiaoyan, TIAN Yi
Organization: College of Arts and Sciences, Shanghai Maritime University; College of Sciences, Inner Mongolia University of Technology
Abstract: A pure algebra form characteristic set algorithm of polynomial system is generalized to differential case and a simplified mechanical algorithm for determining differential characteristic set of differential polynomial system is proposed. The algorithm can overcome, at some extend, the heavy work load difficulty in computing differential characteristic set and can be applied to wide range of related fields of differential equations, such as symmetry, conservation law computations.
Key words: mathematical mechanization; Wu’s method; differential polynomial system; differential characteristic set; algorithm
发表期数: 2011年7月第13期
引用格式: 特木尔朝鲁,韩晓燕,田毅. 一个计算微分特征列集的简化算法[J]. 中国科技论文在线精品论文,2011,4(13):1182-1188.
 
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