Scientific Computing Research Environments for the Mathematical Sciences

美国国家科学基金会建议DMS-0215392 PIs：Xu，Belmonte，Du，Li和Zikatanov摘要宾夕法尼亚州立大学数学系将购买一台节点并行PC集群，专门用于支持数学科学的研究和教学。特别是，PC集群将用于支持教师在流体动力学和材料科学中偏微分方程组的数值解、计算金融以及并行多重网格算法和准蒙特卡罗方法等一般数值技术研究领域的研究项目。特别是，这些项目包括对非牛顿流动、液晶、量子化旋涡、水波和燃料电池的建模和模拟的重要问题的研究。许多研究工作主要依赖于拟议的PC集群的建立。该提案涉及将在PC集群中进行的数值工作与将在数学系W.G.普里查德实验室进行的实验工作之间的综合合作。新设备将使在流体实验室中观察到的各种复杂物理现象的数字模拟成为可能，并将极大地加强宾夕法尼亚州立大学计算和应用数学研究人员之间的合作。PC集群也将是创建新的计算实验室的基础，该实验室与普里查德流体实验室一起，将为多学科研究以及(本科生和研究生)学生培训提供独特的环境。

NSF proposal DMS-0215392PIs: Xu, Belmonte, Du, Li and ZikatanovABSTRACTThe Department of Mathematics at the Pennsylvania StateUniversity will purchase a 64-node parallel PC clusterto be dedicated to the support of research and teachingin the mathematical sciences. In particular, the PCcluster will be used to support the research projectsof faculty members in the areas of the numericalsolution of partial differential equations in fluiddynamics and material sciences, and computationalfinance and in the studies of general numericaltechniques such as parallel multigrid algorithms andquasi-Monte Carlo methods. In particular, the projectsinclude studies of important issues concerning modelingand simulations of non-Newtonian flows, liquid crystals,quantized vortices, water waves and fuel cells. Much ofthe research efforts rely critically on theestablishment of the proposed PC cluster.The proposal involves an integrated collaborationbetween the numerical work to be performed in the PCcluster and the experimental work to be performed inthe W. G. Pritchard Laboratories of the Department ofMathematics. The new equipment will make it possible tonumerically simulate the various complex physicalphenomena observed in the fluid lab and will greatlyenhance collaborations among researchers in computationaland applied mathematics at Penn State. The PC clusterwill also be the basis for the creation of a newcomputational laboratory, which together with thePritchard fluid lab, will provide a unique environmentfor multidisciplinary research as well as for (bothundergraduate and graduate) student training.