Year: 2020
Author: Hongkai Zhao, Yimin Zhong
CSIAM Transactions on Applied Mathematics, Vol. 1 (2020), Iss. 2 : pp. 346–364
Abstract
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$2+1/$d$) to $\mathcal{O}$($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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/csiam-am.2020-0012
CSIAM Transactions on Applied Mathematics, Vol. 1 (2020), Iss. 2 : pp. 346–364
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Radiative transport equation volume integral equation treecode algorithm.