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

翻译：本文针对时间依赖玻尔兹曼输运方程（BTE）开发了具有降低内存需求的新型隐式方法。研究考虑了一维平板几何中的单群输运问题。降内存方法基于空间上采用线性间断格式、时间上采用向后欧拉积分方法离散的BTE进行构建。数值结果展示了所提数值方法的性能。