Public profile
Research areas
Lu Zhang’s research interests are in the areas of numerical and theoretical analysis of partial differential equations (PDEs) and applied mathematics. In particular, she focuses on developing high-order discontinuous Galerkin methods to study various PDEs with physical and biological backgrounds, such as advective (nonlinear) wave equations, seismic imaging problems, chemotaxis models, and population dynamics models. PDEs serve as fundamental language to describe the spatio-temporal dynamics of phenomena in the physical and biological sciences. The challenges posed by the structural complexity and computational intensity within these dynamics require the application and development of high-order, computationally efficient, and energy-stable numerical methods. The theoretical analysis of these systems also provides insight into and contributes to the understanding of the continuum system. She also works on the development of efficient and robust algorithms for inverse problems.