Showing math.NAShow all
3 papers · 1 filter
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…
math.NA2024
An Adaptive Angular Domain Compression Scheme For Solving Multiscale Radiative Transfer Equation
Qinchen Song, Jingyi Fu, Min Tang +1
When dealing with the steady-state multiscale radiative transfer equation (RTE) with heterogeneous coefficients, spatially localized low-rank structures are present in the angular…
math.NA2024
A fast offline/online forward solver for stationary transport equation with multiple inflow boundary conditions and varying coefficients
Jingyi Fu, Min Tang
It is of great interest to solve the inverse problem of stationary radiative transport equation (RTE) in optical tomography. The standard way is to formulate the inverse problem in…