Problemi semilineari ed integro-differenziali per Sublaplaciani
Problems and solutions by the application of Julia set theory to one-dot and multi-dots numerical methods.
Programming of the generalized nonlinear paraxial equation for the formation of solitons with Mathematica.
Prolongement des solutions analytiques réelles d'équations aux dérivées partielles à coefficients constants
Pseudo-bosons from Landau levels.
Pseudo-differential Operators with Double Characteristics.
Quantum optimal control using the adjoint method
Control of quantum systems is central in a variety of present and perspective applications ranging from quantum optics and quantum chemistry to semiconductor nanostructures, including the emerging fields of quantum computation and quantum communication. In this paper, a review of recent developments in the field of optimal control of quantum systems is given with a focus on adjoint methods and their numerical implementation. In addition, the issues of exact controllability and optimal control are...
Quasi-Newton preconditioners for the inexact Newton method.
Quasi-Newton's method with correction.
Quelques propriétés du noyau d'un opérateur différentiel linéaire non hypoelliptique, à coefficients constants
Real and complex pseudozero sets for polynomials with applications
Pseudozeros are useful to describe how perturbations of polynomial coefficients affect its zeros. We compare two types of pseudozero sets: the complex and the real pseudozero sets. These sets differ with respect to the type of perturbations. The first set – complex perturbations of a complex polynomial – has been intensively studied while the second one – real perturbations of a real polynomial – seems to have received little attention. We present a computable formula for the real pseudozero...
Reconstruction of thickness variation of a dielectric coating through the generalized impedance boundary conditions
We deal with an inverse scattering problem whose aim is to determine the thickness variation of a dielectric thin coating located on a conducting structure of unknown shape. The inverse scattering problem is solved through the application of the Generalized Impedance Boundary Conditions (GIBCs) which contain the thickness, curvature as well as material properties of the coating and they have been obtained in the previous work [B. Aslanyürek, H. Haddar and H.Şahintürk, Wave Motion 48 (2011) 681–700]...
Recursive algorithms for solving systems of nonlinear equations
A way of generalizing onedimensional root-finding algorithms to the multidimensional case by means of recursion is shown and means to make the algorithms robust are discussed. In the second part, the algorithm is modified so as to exploit sparsity of large systems of equations for reducing the recursion depth and consequently decreasing the computational requirements of the method.
Régularité analytique pour des opérateurs elliptiques singuliers en un point
Régularité analytique pour des opérateurs elliptiques singuliers en un point
Régularité analytique pour des opérateurs elliptiques singuliers en un point
Régularité Gevrey et itérés pour une classe d'opérateurs hypoelliptiques
Régularité maximale pour une classe d’opérateurs à caractéristiques multiples
Regularity Results for Real Analytic Homotopies.
Remark on an iterative formula