Leticia Mattos Da Silva

Leticia Mattos Da Silva is a PhD candidate in electrical engineering and computer science whose research seeks to advance applications of nonlinear partial differential equations (PDE) in the fields of geometry processing and computer graphics. With the support of her second MathWorks Fellowship, Leticia will explore the use of stochastic differential equations (SDE) associated with a parabolic PDE for an image task application. A second avenue for future work in Leticia’s PhD involves developing a new numerical approach to solving a PDE known as the Landau equation. All of Leticia’s work has been implemented in MATLAB, and she is making significant contributions to the constellation of MathWorks tools through her research. Her plans include developing new techniques for a broader class of nonlinear PDE and investigating applications for their corresponding SDE. Her work has the potential to advance far-reaching applications, including a numerical scheme for the Landau equation to model particle collisions in plasma simulations, and a new algorithm for image generation.