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    Chapter and Conference Paper

    Mathematical Modeling of Semiconductors: From Quantum Mechanics to Devices

    AbstractWe discuss recent progress in the mathematical modeling of semiconductor devices. The central result of this paper is a combined quantum-classical model that self-consistently couples van Roosbroeck’s ...

    Markus Kantner, Alexander Mielke… in Topics in Applied Analysis and Optimisation (2019)

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    Article

    On the Tractability Index of a Class of Partial Differential-Algebraic Equations

    We consider a class of nonlinear partial-differential-algebraic equations, where the nonlinearity is present only in the PDEs and in the coupling conditions, and some additional structural conditions hold. For...

    Giuseppe Alì, Nella Rotundo in Acta Applicandae Mathematicae (2012)

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    Chapter and Conference Paper

    An Existence Result for Index-2 PDAE System Arising in Semiconductor Modeling

    We consider an electric network modeled via Modified Nodal Analysis, which is refined by a nonlinear multi-dimensional elliptic partial differential equations as semiconductor device model. This coupled system...

    Giuseppe Alì, Andreas Bartel, Nella Rotundo in Progress in Industrial Mathematics at ECMI… (2012)

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    Chapter and Conference Paper

    Diffusive Limit of a MEP Hydrodynamical Model Obtained from the Bloch-Boltzmann-Peierls Equations for Semiconductors

    We consider a MEP hydrodynamical model obtained from a set of transport equations for the distribution functions of electrons in conduction band and phonon. We assume that the MEP model contains equations for ...

    Giuseppe Alì, Vittorio Romano, Nella Rotundo in Progress in Industrial Mathematics at ECMI… (2012)