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 O(M^{2+1/d} ) to O(M^{1+1/d} 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.
@article{arxiv.2001.10050,
title = {A fast algorithm for time-dependent radiative transport equation based on integral formulation},
author = {Hongkai Zhao and Yimin Zhong},
journal= {arXiv preprint arXiv:2001.10050},
year = {2020}
}