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…
Numerical Analysis
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…
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…
Perov’s theorem applied to systems of equations
Abstract In this paper, we consider systems of equations having a linear part and also a nonlinear part. We give…
Computational orders of convergence of iterative methods for Richards’ equation
Abstract Numerical solutions for flows in partially saturated porous media pose challenges related to the non-linearity and elliptic-parabolic degeneracy of…
The strict superlinear order can be faster than the infinite order
Abstract The strict superlinear order (superlinear convergence) was usually regarded as having an intermediate speed between between linear and with…
Approximation by spline functions of the solutions of a linear bilocal problem
Abstract AuthorsCostica Mustata “Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Romania Keywords? Paper coordinatesC. Mustăţa, Approximation by spline functions…