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UMBC High Performance Computing Facility
Please note that this page is under construction. We are documenting the 240-node cluster maya that will be available in Spring 2014. Currently, the cluster tara is still available. Please see the 2013 Resources Pages under the Resources tab.
Highly Parallel Numerical Solution of Fourth Order Partial Differential Equations in 7 or more dimensions, with visualization of solution
Dr. Jon Squire, Computer Science and Electrical Engineering Department

With 10 grid points in each dimension, a PDE with 7 dimensions needs to solve 10^7 equations in 10^7 unknowns. This requires many parallel processors and much memory, and often high precision arithmetic. Then, displaying the results requires specialized software to visualize to solution. The modeling and simulation problems come from the bi-harmonic PDE applied to complex multi dimensional systems.