Abdelkader Tizaoui

Assistant Professor

My research focuses on the mathematical and numerical modeling of complex physical systems, with a particular interest in asymptotic analysis, high-fidelity simulations, and the development of efficient algorithms for time-dependent equations. Three main themes structure my work: Three main themes structure my work. Firstly, I focus on the asymptotic analysis of stochastic dynamical systems. In particular, I study the long-term behavior of systems governed by Fokker-Planck-Kolmogorov-type equations, with a specific application to the dynamic stability of ships subjected to random sea conditions. These models provide valuable insights into capsize probability and the evolution of roll motion over time. Secondly, I investigate advanced numerical methods for transport equations. My work involves the development and analysis of algorithms based on the Minimal Residual method to solve the neutron transport equation in spherical geometry. This methodology is designed to improve both the accuracy and efficiency of numerical simulations in complex physical and geometric environments. Finally, I contribute to statistical modeling in marine ecology. I study an extended exponential mortality model that describes the evolution of anchovy egg density, taking into account both biological variability and measurement uncertainty. The theoretical analysis ensures robust estimation of key ecological parameters based on empirical field data.