Showing math.NAShow all
3 papers · 1 filter
math.NA2025
Convergence Analysis of the Random Ordinate Method for Mitigating the Ray Effect
Lei Li, Min Tang, Yuqi Yang
The Discrete Ordinates Method (DOM) is widely used for velocity discretization in radiative transport simulations. However, DOM tends to exhibit the ray effect when the velocity di…
math.NA2025
A deterministic solver for the linear Boltzmann model of a single mono-directional proton beam
Xiaojiang Zhang, Xuemin Bai, Min Tang
The linear Boltzmann model for proton beams is a six-dimensional partial differential equation (PDE). We propose a deterministic solver for the linear Boltzmann model based on scat…
math.NA2025
Random Source Iteration Method: Mitigating the Ray Effect in the Discrete Ordinates Method
Jingyi Fu, Lei Li, Min Tang
The commonly used velocity discretization for simulating the radiative transport equation (RTE) is the discrete ordinates method (DOM). One of the long-standing drawbacks of DOM is…