29 citations · 135 across the 36 of their papers we have counts for
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math.NA2021
Three-dimensional analytical discrete-ordinates method for the radiative transport equation
Manabu Machida, Kaustav Das
The radiative transport equation in a three-dimensional infinite medium is considered. The coefficients of the radiative transport equation are assumed to be constant. For a pencil…
math.NA2019
Diffuse optical tomography by simulated annealing via a spin Hamiltonian
Yu Jiang, Manabu Machida, Norikazu Todoroki
Diffuse optical tomography (DOT) is an imaging modality which uses near-infrared light. Although iterative numerical schemes are commonly used for its inverse problem, correct solu…
math.NA2014★ 18 cited
An FN method for the radiative transport equation in three dimensions
Manabu Machida
The FN method is an accurate and efficient numerical method for the one-dimensional radiative transport equation. In this paper the FN method is extended to three dimensions using…