CSIAM Trans. Appl. Math., 1 (2020), pp. 346-364.
Published online: 2020-07
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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.
}, 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} }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.