Splitting d'opérateur pour l'équation de transport neutronique en géométrie bidimensionnelle plane
Splitting d'opérateur pour l'équation de transport neutronique en géométrie bidimensionnelle plane
The aim of this work is to introduce and to analyze new algorithms for solving the transport neutronique equation in 2D geometry. These algorithms present the duplicate favors to be, on the one hand faster than some classic algorithms and easily to be implemented and naturally deviced for parallelisation on the other hand. They are based on a splitting of the collision operator holding amount of caracteristics of the transport operator. Some numerical results are given at the end of this work. ...
Stabilitätsbedingungen von rekurrenten Relationen und deren Anwendung
Stability analysis of fast numerical methods for Volterra integral equations.
Stability Analysis of Product ...-Methods for Abel Integral Equations of the Second Kind.
Stability analysis of reducible quadrature methods for Volterra integro-differential equations
Stability analysis for numerical solutions of Voltera integro-differential equations based on linear multistep methods combined with reducible quadrature rules is presented. The results given are based on the test equation and absolute stability is deffined in terms of the real parameters and . Sufficient conditions are illustrated for - methods and for combinations of Adams-Moulton and backward differentiation methods.
Stability analysis of -methods for neutral multidelay integrodifferential system.
Stability and Robustness of Collocation Methods for Abel-Type Integral Equations.
Stability of a spline collocation method for strongly elliptic multidimensional singular integral equations.
Stability of Reducible Quadrature Methods for Volterra Integral Equations of the Second Kind.
Stability rates for linear ill-posed problems with compact and non-compact operators.
Su una estensione di un teorema di Tikhonov.
Superconvergence analysis and a posteriori error estimation of a Finite Element Method for an optimal control problem governed by integral equations
In this paper, we discuss the numerical simulation for a class of constrained optimal control problems governed by integral equations. The Galerkin method is used for the approximation of the problem. A priori error estimates and a superconvergence analysis for the approximation scheme are presented. Based on the results of the superconvergence analysis, a recovery type a posteriori error estimator is provided, which can be used for adaptive mesh refinement.
Superconvergence of a finite element method for linear integro-differential problems.
Superconvergence of Collocation Methods for Volterra and Abel Integral Equations of the Second Kind.
Superconvergence of numerical solutions to weakly singular Volterra integro-differential equations.
Superconvergence of Piecewise Polynomial Galer kin Approximations for Fredholm Integral Equations of the Second Kind.
Sur la résolution numérique d'une équation intégro-différentielle singulière non linéaire de la chimie des surfaces
Sur une équation d'èvolution intégro-différentielle singulière linéaire.