Symmetries and Differential Equations

对称性和微分方程

• 批准号: RGPIN-2016-03705
• 负责人: Bluman, George
• 金额: $ 1.31万
• 依托单位: University of British Columbia
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2017
• 资助国家: 加拿大
• 起止时间: 2017-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=635333
• 关键词: Symmetries; Differential; Equations

The Norwegian mathematician Sophus Lie pioneered the subject of symmetries and differential equations (DEs) with the aim of putting order to the hodgepodge of ad-hoc techniques for solving DEs, especially ordinary differential equations (ODEs). He essentially showed that almost all known techniques could be systematized through symmetry analysis. Modern software for solving ODEs are based largely on his ideas.

挪威数学家索菲斯·李开创了对称和微分方程组(DES)的学科，目的是把解决DES，特别是常微分方程组(ODES)的各种特殊技术的大杂烩理顺。他基本上表明，几乎所有已知的技术都可以通过对称性分析来系统化。现代解题软件在很大程度上是基于他的想法。