@Article{CSIAM-AM-1-346,
author = {Zhao , Hongkai and Zhong , Yimin},
title = {A Fast Algorithm for Time-Dependent Radiative Transport Equation Based on Integral Formulation},
journal = {CSIAM Transactions on Applied Mathematics},
year = {2020},
volume = {1},
number = {2},
pages = {346--364},
abstract = {<p style="text-align: justify;">In this work, we introduce a fast numerical algorithm to solve the time-dependent radiative transport equation (RTE). Our method uses the integral formulation of RTE and applies the treecode algorithm to reduce the computational complexity
from $\mathcal{O}$($M$<sup>2+1/$d$</sup>) to $\mathcal{O}$($M$<sup>1+1/$d$</sup>log$M$), where $M$ is the number of points in the physical
domain. The error analysis is presented and numerical experiments are performed to
validate our algorithm.</p>},
issn = {2708-0579},
doi = {https://doi.org/10.4208/csiam-am.2020-0012},
url = {http://global-sci.org/intro/article_detail/csiam-am/17182.html}
}