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A Positivity-Preserving Numerical Scheme for a Nonlinear Fourth Order Parabolic System
\noindent A positivity-preserving numerical scheme for a fourth order nonlinear parabolic system arising in quantum semiconductor modeling is studied. The system is numerically treated by introducing an additional nonlinear potential and a subsequent semidiscretization in time. The resulting sequence of nonlinear second order elliptic systems admits at each time level …