Mathematical Sciences: Inverse Problems

本科生研究经验奖继续 支持一个非常成功的数学活动在 华盛顿大学。 10名学生将获得支持， 每一个未来的三年。 他们将与两个 经验丰富的教师顾问对广泛的问题 通常被归类为逆问题。这些问题涉及到 离散和连续的环境， 物理应用。 在深入了解 问题，计算机实验将发挥重要作用。 学生将研究与 离散网络中导体值的计算 大地电磁理论中的反问题版本， 引力理论 根本问题是， 确定整个内部的电导率， 导电体上的电势和电流的测量 表面上 类似的问题出现在试图确定 引力质量的形状， 表面的重力势。 学生将在小团队工作，并提交论文， 他们的研究成果。 在这个网站上以前的学生的记录是其中之一 重大成功。一些人正在攻读研究生科学 在优秀的美国机构获得学位。 预计在 这一趋势将继续下去。

This Research Experiences for Undergraduates award continues support for a highly successful mathematical activity at the University of Washington. Ten students will receive support in each of the next three years. They will work with two experienced faculty advisors on a broad range of questions generally classified as inverse problems. The problems involve both discrete and continuous environments with a decided slant toward physical applications. In gaining insight to the problems, computer experimentation will play a major role. Students will investigate problems associated with the computation of values of conductors in a network, on discrete versions of inverse problems in magneto-telluric theory and in gravitational theory. The fundamental issue is that of determining the conductivity throughout the interior of a conducting body from measurements of potential and currents on the surface. Similar questions arise in attempts to determine the shape of a gravitational mass from measurements of gravitational potential on the surface. Students will work in small teams and will submit papers on their research at the end of the program. The record of former students at this site is one of significant success. A number are pursuing graduate science degrees at outstanding U.S. institutions. It is expected that this trend will continue.