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.