Undergraduate Faculty Workshop: The Mechanics of Inverse Problems

本科生研讨会：反问题的力学

• 批准号: 9154172
• 负责人: Charles Groetsch
• 金额: --
• 依托单位: University of Cincinnati Main Campus
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-01-01 至 1994-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9154172&HistoricalAwards=false
• 关键词: Undergraduate; Faculty; Workshop; Mechanics; Inverse

Most of classical applied mathematics, and essentially all of undergraduate training in applied mathematics, is dominated by direct problems in which given causes evolve continuously into effects which are to be determined. In recent years there has been a great deal of research activity in inverse problems, that is, problems of determining a cause of a given effect or a law of evolution given a cause and effect. A three day regional workshop is offered to acquaint undergraduate faculty with some of the peculiar mathematical and computational difficulties associated with inverse problems and to assist them in developing curricular materials on aspects of inverse problems. Follow up activities will include a special session at a regional Mathematical Association of America meeting. The majority of the support for this workshop is being provided by the Division of Mathematical Sciences.

大多数经典应用数学，以及基本上所有应用数学本科培训，都是由直接问题主导的，其中给定的原因不断演变为有待确定的结果。 近年来，存在大量针对逆问题的研究活动，即确定给定结果的原因或给定因果关系的进化规律的问题。 提供为期三天的区域研讨会，以使本科生教师熟悉与反演问题相关的一些特殊的数学和计算困难，并协助他们开发有关反演问题方面的课程材料。后续活动将包括美国数学协会地区会议上的特别会议。本次研讨会的大部分支持由数学科学部提供。