Scientific Computing Research Environments For The Mathematical Sciences (SCREMS)

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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