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Numerical simulation of 2D semiconductor devices using high-order finite difference methods

TLDR
In this paper, Pietra et al. proposed a new accurate compact finite difference scheme for solving the 2D drift-diffusion system and numerical tests of the scheme are presented.
Abstract
Numerical tests of a new accurate compact finite difference scheme for solving the 2D drift-diffusion system are presented EMAIL:: pietra@dragon.ian.pv.cnr.it

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Symbolic Derivation of Different Class of High-order Compact Schemes for Partial Differential Equations

TL;DR: A symbolic procedure for deriving finite difference approximations for partial differential equations is described, restricting the study to high-order compact schemes in conservative and non-conservative form.
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