A departmental proposal to the NSF program "Scientific Computing Research Environments for Mathematical Sciences" has been funded at $146,000 with fifty percent cost sharing from Purdue. According to principal investigator Professor Clarence Wilkerson, the grant will provide a small cluster of machines approximately two or three times faster than current equipment, together with high speed networking and fileservers.
This equipment is needed for a broad range of projects that come from both pure and applied mathematics. Applied projects include the 3-D modeling of flow in porous media, the numerical solution of 3-D time dependent partial differential equations by the gradient-weighted moving element method, and the application of wavelets to fast nonlinear image processing in 2-D and 3-D. Projects in pure mathematics propose to implement numerically new decompositions of classical kernel functions from complex variables and to apply symbolic calculation techniques to problems from commutative algebra, algebraic geometry, and algebraic topology.
Individuals contributing to the proposal and these sub-projects include Professors S. Bell, N. Carlson, J. Douglas, C. Huneke, J. Lipman, B. Lucier, F. Pereira, and C. Wilkerson.