9 citations · 22 across the 8 of their papers we have counts for
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math-ph2014★ 9 cited
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…
cond-mat.dis-nn2014★ 3 cited
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…
math.NA2014
Sensitivity analysis for dose deposition in radiotherapy via a Fokker-Planck model
Richard C. Barnard, Martin Frank, Kai Krycki
In this paper we study the sensitivities of electron dose calculations with respect to the stopping power and the transport coefficients. We focus on the application to radiotherap…