Mathematical Sciences: Career Advancement Award: Ill-Posed Problems

数学科学：职业发展奖：不适定问题

• 批准号: 9308121
• 负责人: Karen Ames
• 金额: $ 4.97万
• 依托单位: University of Alabama in Huntsville
• 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: 1993-06-01 至 1994-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9308121&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Career; Advancement; Award

The research entails applying a number of existing methods of numerical analysis to develop strategies appropriate for the solution of ill-posed problems in the general area of partial differential equations. An outcome of this investigation will be the derivation of stability inequalities from which significant error estimates may be obtained. Methods of approximation and of finite elements will be exploited and adapted to the classes of ill-posed problems in question.

该研究需要应用一些现有的数值分析方法来开发适合于解决偏微分方程一般领域中的不适定问题的策略。这项研究的一个结果将是稳定性不等式的推导，从中可以得到显著的误差估计。逼近和有限元的方法将被利用并适应于所讨论的不适定问题的类别。