42 citations · 160 across the 19 of their papers we have counts for
4 papers · 1 filter
The Non-Classical Boltzmann Equation, and Diffusion-Based Approximations to the Boltzmann Equation
Martin Frank, Kai Krycki, Edward W. Larsen +1
We show that several diffusion-based approximations (classical diffusion or SP1, SP2, SP3) to the linear Boltzmann equation can (for an infinite, homogeneous medium) be represented…
On the Accuracy of the Non-Classical Transport Equation in 1-D Random Periodic Media
Richard Vasques, Kai Krycki
We present a first numerical investigation of the accuracy of the recently proposed {\em non-classical transport equation}. This equation contains an extra independent variable (th…
On the Influence of Stochastic Moments in the Solution of the Neutron Point Kinetics Equation
Milena Wollmann da Silva, Bardo E. J. Bodmann, Marco T. Vilhena +1
On the Influence of Stochastic Moments in the Solution of the Neutron Point Kinetics Equation
Adjusted Levermore-Pomraning equations for diffusive random systems in slab geometry
Richard Vasques, Nitin K. Yadav
This paper presents a multiple length-scale asymptotic analysis for transport problems in 1-D diffusive random media. This analysis shows that the Levermore-Pomraning (LP) equation…