Scientific Computing Research Environments for the Mathematical Sciences (SCREMS)

数学科学的科学计算研究环境 (SCREMS)

• 批准号: 0209695
• 负责人: Ilse C.F. Ipsen
• 金额: $ 5.78万
• 依托单位: North Carolina State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2002
• 资助国家: 美国
• 起止时间: 2002-08-15 至 2005-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0209695&HistoricalAwards=false
• 关键词: Scientific; Computing; Research; Environments; Mathematical

NSF Proposal DMS-0209695PIs: Ipsen, Campbell, Kelley, and MeyerABSTRACTThe proposed research concerns the numerical solutionof sparse optimal control problems. The research issuesoriginate from the Boeing Company's software projectSOCS (Sparse Optimal Control Software). Theconstraints in the control problems are represented bysystems of differential algebraic equations (DAEs), aclass of differential equations whose solution posesserious challenges. The PIs propose to advance thestate-of-the-art in high-index DAE technology to solverealistic, large-scale applications; to increasesoftware scalability through the use of interior pointmethods for non-linear solvers and Krylov-space methodsfor linear solvers; and to develop prototyping softwareto test accuracy and performance of new algorithms.Research will be conducted on improving software fordifficult, complex problems in aerospace and mechanicalengineering applications, such as design of flightcontrol systems, robot arms, and information retrievalsystems. The use of computation to explore new scienceand engineering concepts is central to the project.This multi-disciplinary project is driven bycollaboration with the Boeing company on its industrialsoftware project SOCS which solves many large-scaleoptimal control problems that occur in chemicalreactions, and a large variety of aerospace problems.

pis: Ipsen, Campbell, Kelley， and meyerabstract提议的研究涉及稀疏最优控制问题的数值解。研究问题源于波音公司的软件项目socs（稀疏最优控制软件）。控制问题中的约束用微分代数方程组（DAEs）来表示，这是一类求解具有挑战性的微分方程。PIs建议将最先进的高指数DAE技术推进到解决方案的大规模应用；通过使用非线性解算器的内点法和线性解算器的克雷洛夫空间方法来增加软件的可扩展性；并开发原型软件来测试新算法的准确性和性能。研究改进航空航天和机械工程应用中困难、复杂问题的软件，如飞行控制系统、机器人手臂和信息检索系统的设计。使用计算来探索新的科学和工程概念是这个项目的核心。这个多学科项目是由波音公司在其工业软件项目SOCS上的合作推动的，该项目解决了化学反应中发生的许多大规模最优控制问题，以及各种各样的航空航天问题。