REU Site: Inverse Problems for Electrical Networks

REU 站点：电力网络的反问题

• 批准号: 0754486
• 负责人: James Morrow
• 金额: $ 17.56万
• 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: 2008
• 资助国家: 美国
• 起止时间: 2008-04-01 至 2011-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0754486&HistoricalAwards=false
• 关键词: REU; Site; Inverse; Problems; Electrical

The REU Program on Inverse Problems for Electrical Networks will bring eight undergraduates to the Department of Mathematics at the University of Washington in each of the summers 2008-10 to work on discrete inverse problems. The inverse problem for an electrical network is the problem of finding the conductivity of resistors and shape of a network when the boundary current response to boundary voltages (response matrix) is known. Resistances may be specified by directed or undirected edge functions or vertex functions. Students will investigate the relation between the response matrix and the geometry of the network. The students will also pursue related discrete problems involving Bruhat orders, Schubert varieties and tableaux.

REU电气网络逆问题项目将在2008-10年的每个夏天为华盛顿大学数学系带来8名本科生，从事离散逆问题的研究。 电网络的逆问题是在已知边界电流对边界电压的响应矩阵（响应矩阵）的情况下，求出电阻的电导率和网络的形状的问题。电阻可以由有向或无向边函数或顶点函数指定。 学生将研究响应矩阵和网络几何之间的关系。学生们还将追求相关的离散问题，涉及布鲁哈特订单，舒伯特品种和tableaux。