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In this paper, new implicit methods with reduced memory are developed forsolving the time-dependent Boltzmann transport equation (BTE). One-grouptransport problems in 1D slab geometry are considered. The reduced-memorymethods are formulated for the BTE discretized with the linear-discontinuousscheme in space and backward-Euler time integration method. Numerical resultsare presented to demonstrate performance of the proposed numerical methods.

Reduced-Memory Methods for Linear Discontinuous Discretization of the Time-Dependent Boltzmann Transport Equation