Computational and Applied Mathematics seminar

Abstract: The linear Boltzmann equation is a fundamental model in the study of particle transport. Numerous relevant applications and the high complexity of such a model motivate continued research in this area.

In this talk, we analyze numerical techniques in developing benchmark solutions to the linear Boltzmann equation, with particular interest in thermal radiation and nuclear safety applications. We discuss asymptotic convergence of the spatial and angular discretization for two-dimensional discrete ordinates solutions. We also introduce the convergence analysis of iterative methods to solve a linear system relevant to the same class of applications.