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This paper presents a novel numerical scheme applicable to the solution of the Boltzmanntransport equation by means of a spherical-harmonics expansion. This scheme improves thesolution at low energies, keeping the desired accuracy in the calculation of the mean quantitieswhile saving a significant amount of CPU time. This is important in view of the applicationsof the method, since the typical number of nodes to be used in the combinedspace-energy domain is in the range of 104105

An Efficient Solution Scheme for the Spherical-Harmonics Expansion of the Boltzmann Transport Equation Applied to Two-Dimensional Devices