The research of Frederic Gibou is at the interface between Applied Mathematics, Computer Science and Engineering Sciences. It is focused on the design of a novel paradigm for high resolution computational methods for large scale computations and their use for a variety of applications including Computational Materials Science, Computational Fluid Dynamics and Computational Image Analysis. The main commonality in these applications is that they are described by complex/free boundaries and similar classes of nonlinear partial differential equations. In addition, the multiscale nature of most interesting phenomena in the physical and life sciences motivate the development and use of versatile computational strategies on spatially adaptive grids and on massively parallel environments.