Khaoula El Maddah

My research lies in applied mathematics, centered on inverse problems for partial differential equations. I work at the interface of analysis and computation: Proving the existence and uniqueness of the resolution, designing robust regularization strategies and proving convergence of the resulting algorithms. On the numerical side, I develop solvers tailored to nonlinear models and noisy data. A current focus is the nonlinear Schrödinger equation, where I study inverse formulations (e.g., potential reconstruction from boundary measurements), exploit genuinely nonlinear phenomena to improve resolution. Much of my work is implemented with attention to high-performance computing and reproducibility.