ITR: Collaborative Research: Optimization of Systems Governed by Partial Differential Equations

ITR：协作研究：偏微分方程控制系统的优化

• 批准号: 0219190
• 负责人: Richard Byrd
• 金额: $ 32.49万
• 依托单位: University of Colorado at Boulder
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2002
• 资助国家: 美国
• 起止时间: 2002-09-01 至 2006-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0219190&HistoricalAwards=false
• 关键词: ITR; Collaborative; Research; Optimization; Systems

This award addresses an important fundamental problem in computational mathematics: how to optimize complex systems described by partial differential equations (PDEs). The focus is on PDE simulations that can scale into millions of variables, and hundreds or thousands of processors. The size of the problems and the complexity of the techniques for solving these PDEs pose major challenges to modern optimization methods. The project uses a general framework for solving optimization problems in interaction with PDE solvers.

这个奖项解决了计算数学中一个重要的基本问题：如何优化由偏微分方程（PDEs）描述的复杂系统。重点是可以扩展到数百万个变量和数百或数千个处理器的PDE模拟。问题的规模和解决这些偏微分方程的技术的复杂性对现代优化方法提出了重大挑战。该项目使用一个通用框架来解决与PDE求解器交互的优化问题。