Acquisition of a High-Performance Parallel Computer for Mathematical Sciences and Applications

获取用于数学科学和应用的高性能并行计算机

• 批准号: 0079719
• 负责人: Andrew Knyazev
• 金额: $ 10万
• 依托单位: University of Colorado at Denver-Downtown Campus
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2000
• 资助国家: 美国
• 起止时间: 2000-09-15 至 2001-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0079719&HistoricalAwards=false
• 关键词: Acquisition; Performance; Parallel; Computer; Mathematical

Acquisition of a High-Performance Parallel Computer for Mathematical Sciences andApplicationsThe Center for Computational Mathematics (CCM) at the University of Colorado at Denver(CU-Denver) engages in mathematical sciences research and applications covering diverse areas of scientific computation, including model development, discretization methods, numerical linear algebra, optimization algorithms and applied statistics. Because the frontiers in each of these computationally intensive research areas continue to advance, it is essential to maintain high performance computing facilities capable of meeting ever increasing demands. The CCM is the only specialized site on campus for large-scale parallel computations. In addition to supporting research activities, the CCM also fulfills a critical role in the teaching mission of the University. Numerous advanced courses in Computer Science and Applied Mathematics rely heavily on the CCM computers. And the CCM facilities are vital to the success of our Mathematics Clinic Program. Research and teaching activities in computationally intensive areas are becoming increasingly limited by the CCM's outdated computational servers. There is therefore a pressing need to upgrade the computing capabilities of the CCM. This proposal aims to demonstrate the need for a new parallel computer by describing the following research projects and applications that will result from its use by faculty and students:Numerical Solution of Extremely Large Eigenvalue Problems; Acoustic Scattering, Domain Decomposition and Substructuring, and Distributed ParallelProgramming;Parallel Eulerian-Lagrangian and Mixed Methods for Deterministic and Stochastic SubsurfaceFlows;Groundwater Modeling for Environmental Restoration;Validating New Mathematical Models for Swelling Porous Media;Numerical Solutions of Nonsmooth Equations;Estimation of the Value of Options;Atmospheric Models;Statistical Methodology for Massive Data Sets;Development of Accurate Finite Element Methods for Fluids Problems. We have identified the 64 processor Beowulf Intel-based cluster system to meet our computing needs. Each its 32 nodes has two PIII 733MHz processors and 2 GB of RAM. This powerful cluster with 64 GB total memory will handle not only the cross-disciplinary research described in the proposal, but will also be available to other users of CCM, including all faculty, postdoctoral scholars, visitors and students from the Department of Mathematics as well as affiliated faculty and students in the Department of Computer Science and the School of Engineering at CU-Denver.

购买用于数学科学和应用的高性能并行计算机科罗拉多大学丹佛分校（CU-Denver）的计算数学中心（CCM）从事数学科学研究和应用，涵盖科学计算的各个领域，包括模型开发、离散化方法、数值线性代数、优化算法和应用统计。 由于这些计算密集型研究领域中的每一个的前沿都在不断发展，因此维持能够满足不断增长的需求的高性能计算设施是至关重要的。 CCM是校园内唯一一个专门用于大规模并行计算的网站。 除了支持研究活动外，CCM还在大学的教学使命中发挥关键作用。许多计算机科学和应用数学的高级课程在很大程度上依赖于CCM计算机。 CCM设施对我们数学诊所计划的成功至关重要。计算密集型领域的研究和教学活动越来越受到CCM过时的计算服务器的限制。 因此，迫切需要提高集束弹药公约的计算能力。 该建议旨在通过描述以下研究项目和应用程序来证明对新并行计算机的需求，这些研究项目和应用程序将由教师和学生使用：极大特征值问题的数值解;声散射，区域分解和子结构，以及分布式并行程序设计;确定性和随机地下流的并行欧拉-拉格朗日和混合方法;环境恢复的地下水模拟;膨胀多孔介质的新数学模型的验证;非光滑方程的数值解;期权价值的估计;大气模型;海量数据集的统计方法;流体问题的精确有限元方法的发展。 我们已经确定了64处理器Beowulf基于英特尔的集群系统，以满足我们的计算需求。 每个节点都有两个PIII 733 MHz处理器和2GB RAM。 这个功能强大的集群与64 GB总内存将处理不仅在提案中描述的跨学科研究，但也将提供给CCM的其他用户，包括所有教师，博士后学者，游客和学生从数学系以及附属教师和学生在计算机科学系和工程学院在CU-Denver。