Operator Splitting Methods Applied to Spectral Discretizations of Quantum Transport Equations
Abstract
The Wigner–Poisson equation is the most successful basis for transient simulations of quantum-effect semiconductor devices so far.
We present a full discretization of this nonlinear pseudo-differential system using a mixed spectral-collocation and operator splitting method. Convergence and nonlinear stability of the scheme are proven.
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Copyright © 1995 Society for Industrial and Applied Mathematics.
History
Submitted: 14 April 1993
Accepted: 15 March 1994
Published online: 14 July 2006
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