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Computational mathematics is the branch of mathematics that is primarily concerned with ways in which to compute results to various problems by applying the theory of numerical analysis. Through the development and execution of sophisticated computer programs, approximate numerical solutions are achieved as opposed to the analytic solutions of traditonal applied mathematics. The subject is the backbone of all computational science and engineering, which in recent decades has become vital to cutting edge research in almost every scientific field. As high speed computers provide ever increasing simulation capabilities, the importance of this field has never been greater.
GPU computed pressure solution (right) for a DLR-F6 wing-body configuration on a 650,000 node tetrahedral grid (left) using NASA's FUN3D.