Mathematical Sciences: REU - "Inverse Problems for Electrical Networks

数学科学：REU - “电气网络的反问题

• 批准号: 9531487
• 负责人: James Morrow
• 金额: $ 12万
• 依托单位: University of Washington
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1996
• 资助国家: 美国
• 起止时间: 1996-02-01 至 1999-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9531487&HistoricalAwards=false
• 关键词: Mathematical; Sciences; REU; Inverse; Problems

9531487 Morrow This REU site award will bring eight undergraduates to the University of Washington to work on inverse problems. The inverse problem for an electrical network is to determine the conductivity of each of the resistors in the network when the response of the network to boundary voltages is known. The inverse problem in impedance tomography is to determine the conductivity throughout the interior of a conducting body from measurements of potentials and currents on the boundary. Students will investigate relations between the response matrix of an electrical network and the conductors in the network. They will also work on applications of these discrete problems to inverse problems for conducting bodies. The program will run for eight weeks. During the first week there will be lectures describing known results, open problems, and numerical approaches. Students will then begin working on projects of their own choosing, using the available computing facilities, if appropriate. Students can work on their own or in teams of two or three. They will continue to meet at regularly scheduled times for the remaining weeks. At the end the students will write papers on their projects.

小行星9531487 这个REU网站奖将带来八个本科生的大学 华盛顿研究反问题。电网络的逆问题是 以确定网络中每个电阻器的电导率， 到边界电压的网络是已知的。阻抗反问题 断层扫描是为了确定导电体内部的导电性 通过测量边界上的电势和电流。学生将调查 电网络的响应矩阵和导体之间的关系， 网络他们还将研究这些离散问题的应用， 问题是如何引导身体。 该计划将持续八周。第一周将有讲座 描述已知的结果，开放的问题，和数值方法。学生将 开始自己选择的项目，使用现有的计算设施， 如果适当话。学生可以自己或两三人一组进行学习。他们将 在剩余的几周内，继续定期举行会议。在其结尾处 学生将写论文的项目。