Mathematical Sciences: Uniform Asymptotic Approximations

数学科学：一致渐近近似

• 批准号: 9208690
• 负责人: Frank Olver
• 金额: $ 5万
• 依托单位: University of Maryland, College Park
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-11-15 至 1995-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9208690&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Uniform; Asymptotic; Approximations

The principal investigator proposes to work on error analysis problems in the area of asymptotic approximations. These include exponential asymptotics, coalescing saddle-points in the method of steepest descent and for solutions of linear ordinary differential equations, and Airy function expansions. Asymptotic analysis is used in many branches of mathematics and hence in science. The questions being investigated may reveal details of scientific phenomena not apparent to the casual glance.

首席研究员建议研究渐近近似领域的误差分析问题。这些包括指数渐近性，最陡下降法和线性常微分方程解中的聚并鞍点，以及艾里函数展开。渐近分析应用于数学的许多分支，因此也应用于科学。正在研究的问题可能揭示一些科学现象的细节，这些现象在不经意间是看不出来的。