Mathematical Sciences Computing Research Environments

数学科学计算研究环境

• 批准号: 9406776
• 负责人: Ronald Shonkwiler (Shenk)
• 金额: $ 5万
• 依托单位: Georgia Tech Research Corporation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-07-15 至 1995-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9406776&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Computing; Research; Environments

9406776 Shonkwiler The Principal Investigators of the School of Mathematics of the Georgia Institute of Technology will purchase a Silicon Graphics Challenge L parallel computer associated hardware and software. This equipment will be dedicated to support the mathematical research of the individual of the group some of whom need the computational power to make their computations feasible and some of whom are doing research in parallel processing. The equipment will allow the PI's and their graduate students to carry out several research projects, including in particular: 1.) Global Dynamics of Ordinary Differential Equations; 2.) Global Dynamics from Time Series Data; 3.) Proof of the Four Color Theorem and its Generalization Known as Grotzsch Conjecture; 4.) Numerical Methods for Hyperbolic Systems; and 5.) Random Restarts in Global Optimization. All of the projects above have a strong computational component and aim at developing reliable and rigorously algorithms.

小行星9406776 格鲁吉亚理工学院数学学院的主要研究人员将购买一台硅图形挑战L并行计算机相关硬件和软件。 这些设备将专门用于支持小组中个人的数学研究，其中一些人需要计算能力使其计算可行，其中一些人正在进行并行处理研究。 这些设备将允许PI及其研究生开展多个研究项目，特别是：1. 常微分方程的全局动力学; 2.） 来自时间序列数据的全球动态; 3.） 四色定理的证明及其推广，称为Grotzsch猜想; 4.） 双曲系统的数值方法; 5.） 全局优化中的随机重启。 上述所有项目都有强大的计算组件，旨在开发可靠和严格的算法。