Optimal approximation of unique continuation
Abstract We consider numerical approximations of ill-posed elliptic problems with conditional stability. The notion of optimal error estimates is defined including…
works
Estimates related to the iterates of positive linear operators and their multidimensional analogues
Abstract The starting point of this paper is the construction of a general family \(\left( L_{n}\right) _{n\geq 1}\) of positive…
Properties of positive linear operators connected with squared fundamental functions
Abstract The aim of this article is to present a general class of positive linear operators of discrete type related…
Inverse interpolating splines with applications to the equation solving
Abstract AuthorsCrăciun Iancu Tiberiu Popoviciu Institute of Numerical Analysis Romania Academy, Cluj-Napoca, Romania Tiberiu Oproiu Romanian Academy Astronomical Observatory Ion…
An extension of the Cheney-Sharma operator of the first kind
Abstract AuthorsTeodora Cătinaș Babeș-Bolyai University, Faculty of Mathematics and Computer Science, Cluj-Napoca, Romania Iulia Buda Babeș-Bolyai University, Faculty of Mathematics…
Localization of Nash-type equilibria for systems with partial variational structure
Abstract In this paper, we aim to generalize an existing result by obtaining localized solutions within bounded convex sets, while…
A note on the efficiency index of a class of two step Hermite iterative methods
Abstract One considers Hermite interpolatory methods, based on two interpolatory nodes which have the same multiplicity order. Duing the efficiency…
O metodă de tip Aitken-Steffensen-Hermite de ordinul 3
Abstract AuthorsIon Păvăloiu ”Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy Keywords? Paper coordinatesI. Păvăloiu, O metodă de tip Aitken-Steffensen-Hermite…
Theory and computation of radial solutions for Neumann problems with φ-Laplacian
Abstract The paper deals with existence, localization and multiplicity of radial positive solutions in the annulus or the ball, for…
Optimal finite element approximation of unique continuation
Abstract We consider finite element approximations of ill-posed elliptic problems with conditional stability. The notion of {\emph{optimal error estimates}} is…