In this work, we introduce a fast numerical algorithm to solve the timedependent 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.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.