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Friday, May 16, 2008
Digital Media Advanced Computing Mathematics UTEN
Scientific Computing in Applied Mathematics

A number of the activities of the cooperation program require the specific support of senior faculty and, in particular, the support of ongoing and future research projects involving the interface with other sciences and the use of high performance computing. In these situations, the quality of learning and training is directly related to the enrollment of students and young doctoral researchers in the supporting research projects.

It is therefore mandatory for the success of the overall program to support specific research activities, besides the direct funding of PhD students, post-docs and junior faculty. This is particularly critical for mathematical research heavily dependent on interdisciplinary collaboration and scientific computing, and will play a key role in supplementing the Portuguese funding resources necessary for a true and effective collaboration with UT-Austin.

There are excellent opportunities for cross-fertilization of ideas between UT-Austin and the Portuguese university and research groups, in several areas of applied mathematics and computational science, in particular in the modeling of complex systems and phenomena and their subsequent analysis, simulation and optimization. The resulting models pose extremely difficult mathematical problems due to their inherent complexity and nonlinearity, the appearance of singularities, or an intrinsic stochastic nature. Moreover, their computational solution results in challenging problems involving large scale PDE simulations, irregular domains and interfaces, noise and uncertainty in data, scarce information for optimization, or hard combinatorial structures.

Many of these problems have significant societal and scientific importance, such as parameter estimation for global climate change and astrophysics modeling, optimal design of the next generation linear accelerator, optimal control of the next generation plasma fusion device, optimal configuration of clusters and nanostructures, analysis and design of smart materials and structures.

In all of these areas, there is a great opportunity to leverage the strengths of the groups in Portugal involved and UT-Austin to address these problems with better prepared teams and, simultaneously, to engage training at the highest level. The Department and Center of Mathematics of the University of Coimbra are particularly interested in pursuing this activity under the advanced and high performance computing cooperation program, in collaboration with the other UC Departments involved (Physics and Computer Science) and the Institute for Computational Engineering and Sciences of The University of Texas at Austin.

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