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一个计算微分方程(组)对称群的Mathematica程序包及其应用 被引量:19

A MATHEMATICA PACKAGE LIGRMAIN FOR CALCULATION OF SYMMETRIES GROUPS OF DIFFERENTIAL EQUATIONS AND ITS APPLICATIONS
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摘要 介绍了一个计算(常和偏)微分方程(组)对称的确定方程的Mathematica符号语言程序包及其应用。在计算方法及其设计方面采取了分部,拆解及反馈等简化策略。避免了符号运算中中间表达式“爆炸”及确定方程组过大等问题。具有通用性好,对计算环境要求宽松等特点。 A Mathematica package is proposed for calculation of Symmetries groups of differentical equations with the purpose of overcoming the difficulty of the so called 'intermediate expression swell' and large scale determining equations in symbol calculations,the partion,decomposition and feedback strategies are taken.In this way,the overflow due to shortage of saving space is greatly avoided.The common useness and the commodious need for calculation environment,which make the program applicable to 386 and higher specification computers,are meant as the distinguished features and advantages of this program.
出处 《计算物理》 CSCD 北大核心 1997年第3期375-379,共5页 Chinese Journal of Computational Physics
基金 国家攀登计划资助
关键词 微分方程 对称群 确定方程 程序包 对称 Symmetries groups determining equations partition method Mathematica.
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参考文献1

  • 1沈凤仙,Mathematica手册(译),1992年

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