Adrianna Gillman's research focuses on developing efficient, accurate and robust numerical methods for approximating solutions to partial differential equations. The algorithms she develops allows users to simulate physical phenomena on a desktop computer that is regularly shipped out to super computer. Her research specialties include scattering, imaging, and fluid simulations. Recently, Gillman has started developing software making the fundamental tools for fast solvers more accessible in high level languages including Matlab, Python and Julia.
keywords
numerical linear algebra, numerical partial differential equations, integral equations, high order discretizations