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An efficient solution scheme for the spherical-harmonics expansion of the Boltzmann transport equation [MOS transistors]

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3 Author(s)
Vecchi, M.C. ; Dipt. di Elettronica Inf. e Sistemistica, Bologna Univ., Italy ; Mohring, J. ; Rudan, M.

This paper investigates a number of numerical schemes applicable to the solution of the Boltzmann transport equation by means of a spherical-harmonics expansion (SHE). A new scheme is proposed that improves the solution at low energies, keeping the desired accuracy in the calculation of the mean quantities while saving a significant amount of CPU time. This is important in view of the applications of the method since the typical number of nodes to be used in the combined space-energy domain is in the range of 104-105

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Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on  (Volume:16 ,  Issue: 4 )