Scientific Computing Research Environments For The Mathematical Sciences (SCREMS)

南卡罗来纳大学数学系将购买计算和可视化设备，用于支持四个数学科学研究项目。该设备将支持正在进行的以下研究：(1)多分辨率分析中的非线性逼近及其在数字地形图和医学成像中的应用，(2)偏微分方程组的区域分解和多重网格法，(3)对流-扩散方程的欧拉-拉格朗日局部伴随方法，以及(4)计算数论。串联、并行和可视化设备的集成，加上所需的软件，将为研究人员提供必要的计算环境，以执行这些项目的教育和研究任务

AbstractThe Department of Mathematics at the University of South Carolina willpurchase computing and visualization equipment which will bededicated to the support of four research projects in the mathematicalsciences. The equipment will support ongoing research in:(1) Nonlinear approximation in multiresolution analysis withapplications to digital terrain maps and medical imaging,(2) Domain decomposition and multigrid methods for partial differentialequations, (3) Eulerian-Lagrangian localized adjoint methods for advection-diffusion equations, and (4) Computational number theory. The integrationof serial, parallel, and visualization equipment, complete with requisitesoftware, will provide the necessary computing environment for theinvestigators to perform the educational and research missions of theseprojects