175 citations · 346 across the 31 of their papers we have counts for
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Ray Effect Mitigation for the Discrete Ordinates Method Using Artificial Scattering
Martin Frank, Jonas Kusch, Thomas Camminady +1
Solving the radiative transfer equation with the discrete ordinates (S) method leads to a non-physical imprint of the chosen quadrature set on the solution. To mitigate these s…
A mathematical model of asynchronous data flow in parallel computers
Richard C Barnard, Kai Huang, Cory Hauck
We present a simplified model of data flow on processors in a high performance computing framework involving computations necessitating inter-processor communications. From this or…
Qualitative Properties of Mathematical Model For Data Flow
C. D. Hauck, M. Herty, G. Visconti
In this paper, properties of a recently proposed mathematical model for data flow in large-scale asynchronous computer systems are analyzed. In particular, the existence of special…
A fast implicit solver for semiconductor models in one space dimension
M. Paul Laiu, Zheng Chen, Cory D. Hauck
Several different approaches are proposed for solving fully implicit discretizations of a simplified Boltzmann-Poisson system with a linear relaxation-type collision kernel. This s…
Low-memory, discrete ordinates, discontinuous Galerkin methods for radiative transport
Zheng Sun, Cory D. Hauck
The discrete ordinates discontinuous Galerkin (-DG) method is a well-established and practical approach for solving the radiative transport equation. In this paper, we study a…