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A fast algorithm for time-dependent radiative transport equation based on integral formulation (2001.10050v1)
Published 27 Jan 2020 in math.NA and cs.NA
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 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.