A Positivity-Preserving Numerical Scheme for a Nonlinear Fourth Order Parabolic System

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 nonli...

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Veröffentlicht in:	SIAM journal on numerical analysis 2002, Vol.39 (2), p.385-406
Hauptverfasser:	Jüngel, Ansgar, Pinnau, René
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary conditions Current density Electric potential Electron density Electrons Entropy Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) Investigations Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical schemes Partial differential equations Partial differential equations, initial value problems and time-dependant initial-boundary value problems Physics Relativistic fluid dynamics Sciences and techniques of general use Semiconductors Simulations Solvability
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