Scientific Computing Research Environments for the Mathematical Sciences (SCREMS)

点击翻译按钮获取中文摘要

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.