Scientific Computing Research Environments for the Mathematical Sciences

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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.