Zobrazeno 1 - 10
of 24
pro vyhledávání: '"ALAIN LARGILLIER"'
Publikováno v:
The Journal of Quality in Education, Vol 2, Iss 2 (2017)
Devant le constat, tant en Belgique qu'en France, des faibles taux de réussite en premiêre année universitaire, nous avons cherché à dégager le profil des étudiants qui risquent de se trouver en situation d'échec en fin d'année. Ainsi ils
Externí odkaz:
https://doaj.org/article/0fa94608c42e431eb1c3629f31db91ea
Autor:
Alain Largillier, Hamza Guebbai
Publikováno v:
Lobachevskii Journal of Mathematics. 33:274-283
In this paper we study the spectral stability for a nonselfadjoint convection–diffusion operator on an unbounded 2-dimensional domain starting from a result about the pseudospectrum. Our goal is to study the spectrum of the following convection–d
Publikováno v:
SIAM Journal on Numerical Analysis. 47:646-674
This paper deals with superconvergence phenomena in general grids when projection-based approximations are used for solving Fredholm integral equations of the second kind with weakly singular kernels. Four variants of the Galerkin method are consider
Autor:
Laurence Grammont, Alain Largillier
Publikováno v:
Numerical Functional Analysis and Optimization. 27:583-618
Our aim is to localize matrix eigenvalues in the sense that we build a sufficiently small neighborhood for each of them (or for a cluster), through not prohibitively expensive computations. Our results enter the framework started with Gerschgorin dis
Publikováno v:
Linear Algebra and its Applications. 401:109-117
In several applications needing the numerical computation of eigenvalues and eigenvectors we deal with strongly quasi-diagonal matrices. An iterative explicit method for this kind of problem is proposed here. Its convergence is proved by means of an
Publikováno v:
Applied Mathematics Letters. 18:381-386
We provide an error estimate for the local mean projection approximation in Lp([0,τ∗]) for p∈[1,+∞[, in terms of the regularity of the underlying grid, and we apply it to the corresponding projection approximation of weakly singular Fredholm i
Publikováno v:
Journal of Computational and Applied Mathematics. 140(1-2):13-26
This paper deals with the numerical approximation of the solution of a weakly singular integral equation of the second kind which appears in Astrophysics. The reference space is the complex Banach space of Lebesgue integrable functions on a bounded i
Publikováno v:
Numerical Functional Analysis and Optimization. 22:789-814
We develop a relative error bound specifying the role of the singularity and the one of the grid uniformity in the case of projection type approximations for the solution of a Fredholm integral equation of the second kind with a weakly singular kerne
Autor:
Alain Largillier, Mario Ahues
Publikováno v:
Applied Numerical Mathematics. 17:347-362
We study the numerical approximation of a class of weakly singular compact integral operators. We present two self-range-uniform discretizations. The first one is defined by truncation followed by a numerical quadrature and the second uses a particul
Autor:
Alain Largillier, Mario Ahues
Publikováno v:
Numerical Functional Analysis and Optimization. 16:1-17
We propose a variant of the standard fixed tangent iteration to compute eigenvalues and corresponding invariant subspaces of a linear integral compact operator T defined on the space of complex valued continuous functions defined in [0, 1]. Convergen