SINGLE-RANK QUASI-NEWTON METHODS FOR THE SOLUTION OF NONLINEAR SEMICONDUCTOR EQUATIONS

Fatima Aboud , Abdeljalil Nachaoui (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray

This paper presents some of the author's experimental results in applying a family of iterative methods,the family of EN-like methods Eirola & Nevanlinna (1989), to equations obtained from the discretization of the nonlinear two dimensional Poisson equation occurring in semiconductor device modelling. It is shown that these iterative methods are efficient both in computation times and in storage requirements in comparison with other known methods.

Mots clés: numerical experiments; preconditioner; EN-method; GMRES; CG-like methods; quasi-Newton methods; nite difference method; Semiconductor device; nonlinear Poisson equation

Domaines: Analyse numérique [math.NA]

Fatima Aboud, Abdeljalil Nachaoui. SINGLE-RANK QUASI-NEWTON METHODS FOR THE SOLUTION OF NONLINEAR SEMICONDUCTOR EQUATIONS. Advanced Mathematical Models & Applications, 2020, 5 (1), pp.70-79. ⟨hal-02566864⟩