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Numerical Analysis and Scientific Computing

The Computer Science and Enginerring Numerical Analysis and scientific Computing group conducts research in topics spanning numerical linear algebra, parallel scientific computing, and computational science and engineering. Their research includes the design and analysis of scalable algorithms and interactive virtual problem solving environments for scientific computing. A strong emphasis is also placed on intra-disciplinary research combining scientific computing, computer architecture, and systems design. Members also conduct multidisciplinary computational science research in areas such as signal processing, computational materials design, and biomedical engineering.

Scalable Computing Lab (SCL) - Lead Faculty: Professors Raghavan and Shontz 

Research in the SCL concerns high-performance scientific computing spanning algorithms, architectures, tools, and applications. Current projects include computational materials design applications, scalable algorithms and software for mesh refinement and sparse systems, and power-aware high-performance scientific computing. 

Numerical Linear Algebra - Investigator: Professor Barlow 

Professor Barlow does research on numerical linear algebra. Most of his work focuses on least squares problems, eigenvalue problems, and numerical problems in image processing. Problems that he and his students have worked on include subspace tracking, large sparse least squares, approximations to the singular value decomposition, perturbation models for eigenvalue problems, numerical methods for super resolution and color imagery. His more recent interests include the application of eigenvalue perturbation theory to reactor criticality computations and inverse problems in signal and image processing. Professor Barlow is also investigating accuracy and stability issues involved in these computations.

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