Branching processes and neutron transport equations represent two interconnected yet distinct areas that lie at the interface of probability theory, statistical physics and applied mathematics.
A linear algebraic formulation of discretized, mono-energetic, steady-state, linear Boltzmann transport equations in slab geometry is presented. The discretization consists of a discrete ordinates ...
In this paper, the numerical approximation of a nonlinear diffusion equation arising in contaminant transport is studied. The equation is characterized by advection, diffusion, and adsorption.
$\bullet$ Nonlinear partial differential equations and their qualitative analysis. $\bullet$ Interacting particle systems. $\bullet$ Limiting procedures. $\bullet$ A. Scheel, A. Stevens, and C.