摘要
《高等数值分析》是一门与实际联系紧密的数学公共课程,它理论深刻,应用广泛.本文结合实际应用,为《高等数值分析》中常微分方程数值解部分设计了一个教学案例,通过理论分析和数值实验向学生展示了刚性问题的概念和相关数值方法,并对《高等数值分析》课程教学案例的设计进行了思考.
Advanced numerical analysis is a public mathematical course which is linked closely with practice.It has profound theory and wide applications.Combined with the practical application,a teaching case of the numerical solution of ordinary differential equations is designed for advanced numerical analysis in this paper.Through theoretical analysis and numerical experiments of the teaching case,we show students the concept of stiff problems and related numerical methods.At the end of the paper,some thinking is made for the construction of teaching cases of advanced numerical analysis.
出处
《大学数学》
2015年第1期42-47,共6页
College Mathematics
基金
研究生数学公共课一流课程体系建设项目
国防科学技术大学校本科教改项目
关键词
高等数值分析
教学案例
常微分方程数值解
刚性稳定
advanced numerical analysis
teaching cases
numerical solution of ordinary differential equations
stiff stability
