Mathematical Sciences Computing Research Environments

9406776 Shonkwiler佐治亚理工学院数学学院的主要研究人员将购买一台Silicon Graphics Challenge L并行计算机相关的硬件和软件。该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他们的计算可行，有些人正在进行并行处理的研究。该设备将允许PI和他们的研究生开展几个研究项目，特别是包括：常微分方程的整体动力学；2.） 基于时间序列数据的全球动力学研究3)。四色定理的证明及其推广Grotzsch猜想4)。双曲型系统的数值方法和5)。全局优化中的随机重启。上述所有项目都具有强大的计算组件，旨在开发可靠和严格的算法。

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.