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- W2535092553 abstract "An improved scheme for discretizing the energy flux equation of the hydrodynamic model is proposed on the basis of real physics in the device. The new scheme is im- plemented in a 2-dimensional device simulation program, and it is shown that the new scheme gives a considerable improvement in speed and numerical stability cornpared with the existing schemes(l)(2) for the device structures considered in this work. solving the energy balance equation with Newton's iteration scheme because the energy balance equation is a kind of hyperbolic equation and the resulting Jacobian matrix is ill posed i.e., the values of the matrix elements corresponding to the nodes in the area with p-n junctions vary abruptly from node to node since the carrier density in the junction area changes abruptly. Accordingly, to obtain numerically stable results we must be careful in transforming the energy balance equation into a difference equation. In this paper, first we review briefly the existing discretization schemes for the energy flux in the energy balance equation. Then considering the real physics, we propose a better discretizecl form of the energy flux equation. This scheme is then implemented in the 2-dimensional simulator to solve the energy balance equation for 1-and 2-dimensional semiconductor device structures. Then comparisons are made in terms of the numerical stability among the different schemes and it is shown that the newly proposed scheme gives better results for the device structures considered in this work." @default.
- W2535092553 created "2016-10-28" @default.
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- W2535092553 date "2005-08-24" @default.
- W2535092553 modified "2023-09-24" @default.
- W2535092553 title "An Improved Discretization of the Energy Flux Equation based on Temperature Dependent Carrier Density" @default.
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- W2535092553 doi "https://doi.org/10.1109/nupad.1992.674088" @default.
- W2535092553 hasPublicationYear "2005" @default.
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