Mathematical Sciences: Computational Methods in Mathematicsand the Physical Sciences

数学科学：数学和物理科学的计算方法

• 批准号: 9312087
• 负责人: Peter Norman
• 金额: $ 45.06万
• 依托单位: University of Massachusetts Amherst
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-11-01 至 1997-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9312087&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Computational; Methods; Mathematicsand

9312087 This project involves interdisciplinary research taking place in a laboratory setting, in which mathematical theory and applied scientific problems are attacked in an environment supporting modern computational methods and advanced computer graphics. Some of the problems considered are: grain boundaries of compound materials; global behavior of embedded minimal surfaces and computational methods for finding Willmore extrema; computation of conformal knot energies and stable "multiple bubble" configurations; fluid flow problems. In addition software tools, automated video techniques and networking tools will be developed, tailored to the interdisciplinary research being carried out.

9312087本项目涉及在实验室环境中进行的跨学科研究，即在支持现代计算方法和先进计算机图形学的环境中攻击数学理论和应用科学问题。所考虑的问题包括：复合材料的晶界；嵌入极小曲面的整体行为和求Willmore极值的计算方法；共形结能和稳定的多个气泡构型的计算；流体流动问题。此外，还将开发软件工具、自动化视频技术和联网工具，以适应正在开展的跨学科研究。