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Numerical Analysis and Scientific Computing Professors Layton, Riviere, Trenchea and Yotov The diversity of this group is reflected in its research interests, which range over such areas as approximation theory, numerical analysis of partial differential equations, adaptive methods for scientific computing, computational methods of fluid dynamics and elasticity, numerical solution of nonlinear problems, numerical optizimation, algorithm design, high level programming languages, simplicial grid computations, automatic image and pattern analysis, and simulation of stochastic reaction diffusion systems. There are weekly seminars, as well as lectures and workshops at the Pittsburgh Supercomputing Center on current trends in scientific supercomputing. Mathematics PhD student Carolina Manica wins international research awardThe Society for Industrial and Applied Mathematics has just announced that University of Pittsburgh Mathematics PhD student Carolina Manica is a winner of the 2005 Student Paper Prize. Each year since 1999 SIAM has awarded this prize for the most outstanding research paper of the year written (or co-authored by) a mathematics PhD student. This award is based solely on the merit and content of the student's contribution to the submitted paper. Carolina's winning paper was "Convergence of Time Averaged Statistics of Finite Element Approximations of the Navier-Stokes Equations," (co-authored with V. John and W. Layton). It studied fundamental questions of computability of statistics, such as drag or lift, in turbulent flows in cases where the flows velocity itself might not be reliably computable. Computational Mathematics PhD students have a tradition of excellence in research recognized in this competition. The first winner of the SIAM paper prize in 1999 was Pitt PhD student Traian Iliescu (now an Assistant Professor at Virginia Polytechnic Institute) and Pitt PhD students A. Caglar, A. Liakos and N. Sahin attained honorable mentions in other years. Carolina's prize will be awarded during the SIAM Annual Meeting in New Orleans in July 2005. Computational Mathematics Research-Training Group |
