Fast algorithmic frameworks for scientific computing group

Our group's research agenda is focused in providing fast algorithmic frameworks for scientific computing, namely for efficient simulation of physics phenomena and scientific data compression. These frameworks often leverage existing knowledge or structure using fast numerical methods involving the interplay of mathematical analysis, linear algebra, optimization, statistics and high performance computing.

Our work features the numerical solution of boundary value problems for PDEs using well-behaved integral equation formulations. When implemented correctly, this approach can yield considerable advantages (dimensionality reduction, bounded condition number, handling of topological and geometric complexity).

The following are examples of areas of active research with our collaborators: