Fast Algorithms for Wave Scattering of Large Inhomogeneous Bodies

大型非均匀物体波散射的快速算法

• 批准号: 9224466
• 负责人: Weng Chew
• 金额: $ 8.5万
• 依托单位: University of Illinois at Urbana-Champaign
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-07-01 至 1995-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9224466&HistoricalAwards=false
• 关键词: Fast; Algorithms; Wave; Scattering; Large

The research entails investigations into the study of the moduli space of Yang-Mills fields on 4-manifolds using techniques of topology and the geometric theory of partial differential equations. This research should lead to a deeper understanding of the quantum theoretic background to minimization of action functionals. As such, there are potential applications to quantum theory and space-time physics.

本文利用拓扑学和偏微分方程组的几何理论研究了四维流形上的Yang-Mills场的模空间。这一研究将有助于加深对作用泛函最小化的量子理论背景的理解。因此，在量子理论和时空物理中有潜在的应用。