Construction of Stable Discretization Schemes for the Hydrodynamic Device Model
Several authors have reported numerical problems when simulating semiconductor devices using the hydrodynamic model. In this paper, the cause of these numerical problems is identified. Furthermore, a remedy consisting of adaptive quadrature rules is proposed. The resulting discrete schemes are stable, which is verified both theoretically and demonstrated through several examples.
KeywordsNumerical Problem Mesh Point Quadrature Rule Discrete Solution Midpoint Rule
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