Scientific Computing Research Environments for the Mathematical Sciences

数学科学的科学计算研究环境

• 批准号: 0215444
• 负责人: Robert Lewis
• 金额: $ 4万
• 依托单位: College of William and Mary
• 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=0215444&HistoricalAwards=false
• 关键词: Scientific; Computing; Research; Environments; Mathematical

Under the SCREMS program, the Department of Mathematicsat the College of William & Mary will purchase equipmentfor the creation of a computing network dedicated to thesupport of research in the mathematical sciences. Theaward will provide funds for high-bandwidth networkingequipment, high-performance computers for numericalcalculations, and a file server. This equipment, togetherwith desktop machines providing platforms for smallercomputations, will provide a numerical/file server clusterfor the faculty investigators and students working on anumber of research projects. This equipment will be usedfor computationally intensive research projects spanninga wide range of applied mathematics. These includenumerical methods for engineering design, numericalmathematics, computational biochemistry, and operationsresearch. The projects specifically included in the grantare: (1) Efficient approaches to the optimization of systemsgoverned by partial differential equations, (2) distanceparameterized methods for molecular conformation, (3) aparallel Hessenberg QR eigenvalue algorithm, and (4) thecalculation of the exact distribution of the time totraverse a stochastic activity network and the eliminationof resampling error in bootstrapping. PI Leemis and two former doctoral students have writtenAPPL (A Probability Programming Language). This Maple-basedlanguage is used to compute probabilities and performoperations on random variables. The size of many problemsthat can be solved by APPL is limited by computing speed.The speed offered by the hardware obtained as part of theSCREMS grant is crucial to solving problems of the magnitudeencountered in practice.

根据SCREMS计划，威廉玛丽学院的数学系将购买设备，用于建立一个专门支持数学科学研究的计算网络。 该奖项将提供资金用于高带宽网络设备，高性能计算机的数值计算，和文件服务器。这一设备，连同台式机提供的平台，为较小的计算，将提供一个数字/文件服务器集群的教师研究人员和学生的研究项目的数量。该设备将用于计算密集型研究项目，涉及广泛的应用数学。 这些包括工程设计的数值方法，数值数学，计算生物化学和运筹学。 该计划具体包括：（1）偏微分方程控制系统优化的有效方法，（2）分子构象的距离参数化方法，（3）AparthotheHessenberg QR特征值算法，（4）计算穿越随机活动网络的时间的精确分布和消除自举中的复位误差。 PI Leemis和两个前博士生写了APPL（概率编程语言）。这种基于Maple的语言用于计算随机变量的概率和执行操作。APPL所能解决的许多问题的规模都受到计算速度的限制。作为SCREMS资助的一部分，硬件所提供的速度对于解决实际中遇到的大量问题至关重要。