Mathematical Sciences: Uniform Asymptotic Approximations

首席研究员建议在错误上工作 分析问题在该地区的渐近逼近。 这些包括指数渐近性，合并鞍点 在最速下降法和线性方程组的解中， 常微分方程和艾里函数展开。 渐近分析在数学的许多分支中都有应用 也因此在科学中 正在调查的问题可能 揭示了不为普通人所知的科学现象的细节 一眼

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.