Scientific Computing Research Environments for the Mathematical Sciences

数学科学的科学计算研究环境

• 批准号: 0079478
• 负责人: Ian Knowles
• 金额: $ 6.54万
• 依托单位: University of Alabama at Birmingham
• 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: 2000-09-01 至 2003-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0079478&HistoricalAwards=false
• 关键词: Scientific; Computing; Research; Environments; Mathematical

ABSTRACTThe Department of Mathematics of the University of Alabama at Birmingham will purchase and assemble onsite a 25 node dual Pentium III Beowulf cluster using commodity personal computer technology. The cluster will be dedicated to support of research in the mathematical sciences. The equipment will be used in particular for the following mathematics research projects based in the Departments of Mathematics and Physics at the University of Alabama at Birmingham and the Departments of Mathematics at the University of Alabama in Huntsville and the University of Alabama (Tuscaloosa): Inverse Problems: Ian Knowles. This project centers on the development of computational algorithms for elliptic inverse problems for groundwater modeling and medical imaging. Modeling Coupled Katabatic/Ice/Ocean Processes Related to the Energy and Carbon Budget in the High Latitude Southern Ocean: Richard T. McNider. It is the purpose of this project to test and further develop simplified two-dimensional coupled atmospheric, ocean, ice and biological models to elucidate the role of physical factors in Antarctic sea ice distribution and heat flux exchange and, ultimately, to address CO_2 exchange between the atmosphere and ocean. Coupled Stochastic Differential Equations: Ryoichi Kawai. When a number of nonlinear dynamical elements interact with each other in the presence of multiplicative noise, ordered phases appear via symmetry breaking noise-induced phase transitions, whereas the same system does not exhibit any interesting behavior in the absence of noise; this phenomenon is investigated computationally. Stability of Interfacial Flows: D. Halpern and A.L. Frenkel. The stability of thin films coating a capillary tube or a planar wall subject to a time-dependent forcing is investigated computationally . Intermediate Shocks for Magnetohydrodynamics: Yanni Zeng. This project is to study the nonlinear stability of intermediate shock waves occurring in magnetohydrodynamics.

摘要伯明翰阿拉巴马大学数学系将使用商用个人计算机技术购买并现场组装一个 25 节点双 Pentium III Beowulf 集群。该集群将致力于支持数学科学研究。该设备将特别用于阿拉巴马大学伯明翰分校数学和物理系、阿拉巴马大学亨茨维尔分校和阿拉巴马大学（塔斯卡卢萨）数学系的以下数学研究项目：反问题：Ian Knowles。该项目的重点是开发地下水建模和医学成像椭圆反问题的计算算法。与高纬度南大洋能源和碳预算相关的耦合下降/冰/海洋过程建模：Richard T. McNider。本项目的目的是测试并进一步开发简化的二维耦合大气、海洋、冰和生物模型，以阐明物理因素在南极海冰分布和热通量交换中的作用，并最终解决大气和海洋之间的CO_2交换问题。耦合随机微分方程：Ryoichi Kawai。当许多非线性动态元素在存在乘性噪声的情况下相互作用时，有序相会通过对称性破坏噪声引起的相变而出现，而同一系统在没有噪声的情况下不会表现出任何有趣的行为；通过计算研究这种现象。界面流动的稳定性：D. Halpern 和 A.L. Frenkel。通过计算研究了毛细管或平面壁上的薄膜在随时间变化的力作用下的稳定性。磁流体动力学的中级冲击：Yanni Zeng。该项目旨在研究磁流体动力学中发生的中间激波的非线性稳定性。