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: 0112383
• 负责人: William Abikoff
• 金额: $ 5万
• 依托单位: University of Connecticut
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2001
• 资助国家: 美国
• 起止时间: 2001-09-01 至 2002-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0112383&HistoricalAwards=false
• 关键词: Scientific; Computing; Research; Environments; Mathematical

The Department of Mathematics at the University of Connecticut atStorrs will purchase a file-server, a rack-mounted cluster forparallel computation and visualization equipment which will bededicated to the support of research in the mathematical sciences.The equipment will be used for several research projects, including inparticular: the following work of faculty with the assistance ofgraduate students and post-doctoral fellows:Prof. Choi's work on parallel algorithms to assist the virtual cellproject in mathematical biology; Prof. Neumann will study theparallelization of algorithms associated to transition probabilitiesof Markov chains; geometric analysis and associated visualization ofextensions of mappings, conformal geometry of manifolds and specialsurfaces such as rational minimal surfaces are the focus ofinvestigations by Profs. Abikoff and McCune; topological computationsand related algebraic and symbolic computations of 3-dimensionalmanifolds and of the structure of modules over the Steenrod algebrawhich arise from the classifying spaces of certain vector bundles willbe conducted by Profs. Giambalvo and Tollefson; Computational partialdifferential equations with applications in the physical scienceswhich include coupled Schr\"odinger equations, travelling waves andthe non-linear Gross-Pitaevskii equation will be studied byProfs. Choi, Koltracht and McKenna.

康涅狄格大学斯托尔斯分校数学系将购买一个文件服务器，这是一个机架式集群，用于并行计算和可视化设备，将专门用于支持数学科学研究。该设备将用于几个研究项目，特别是：在研究生和博士后研究员的帮助下，教师的以下工作：Choi在并行算法方面的工作，以协助数学生物学中的虚拟细胞计划；诺伊曼教授将研究与马尔可夫链转移概率相关的并行化算法；几何分析和相关的可视化映射的扩展，流形的共形几何和特殊曲面，如有理最小曲面是教授们研究的重点。阿比科夫和麦库恩；拓扑计算和三维流形的相关代数和符号计算，以及Steenrod代数上的模块结构的计算，由某些向量束的分类空间产生，将由教授进行。詹巴尔沃和托勒夫森；计算偏微分方程在物理科学中的应用，包括耦合薛定谔方程、行波和非线性Gross-Pitaevskii方程。崔，科尔特拉赫特和麦肯纳。