27 citations · 71 across the 10 of their papers we have counts for
4 papers · 1 filter
A Spectral Approach for Solving the Nonclassical Transport Equation
R. Vasques, L. R. C. Moraes, R. C. Barros +1
This paper introduces a mathematical approach that allows one to numerically solve the nonclassical transport equation in a deterministic fashion using classical numerical procedur…
Simplified P Equations for Nonclassical Transport with Isotropic Scattering
R. Vasques, R. N. Slaybaugh
An asymptotic analysis is used to derive a set of diffusion approximations to the nonclassical transport equation with isotropic scattering. These approximations are shown to reduc…
Nonclassical Particle Transport in 1-D Random Periodic Media
Richard Vasques, Kai Krycki, Rachel N. Slaybaugh
We investigate the accuracy of the recently proposed nonclassical transport equation. This equation contains an extra independent variable compared to the classical transport equat…
Nonclassical Particle Transport in the 1-D Diffusive Limit
Richard Vasques, Rachel Slaybaugh, Kai Krycki
This paper provides numerical results that demonstrate the validity of the nonclassical diffusion approximation to the nonclassical transport equation in certain 1-D diffusive syst…