Abstract

Overview and physical equations.- Overview of device modelling.- Quantum mechanics.- Equilibrium thermodynamics and statistical mechanics.- Density of states and applications-1.- Density of states and applications-2.- The transport equations and the device equations.- Mathematical and numerical methods.- Basic approximation and numerical methods.- Fermi and associated integrals.- The upwinding method.- Solution of equations: the Newton and reduced method.- Solution of equations: the phaseplane method.- Solution of equations: the multigrid method.- Approximate and numerical solutions of the Schrodinger equation.- Genetic algorithms and simulated annealing.- Grid generation.

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