Numerical Analysis

Iterative schemes for coupled flow and transport in porous media -Convergence and truncation errors

2 weeks ago

Abstract Nonlinearities of coupled flow and transport problems for partially saturated porous media are solved with explicit iterative L-schemes. Their…

Controlling numerical diffusion in solving advection-dominated transport problems

3 months ago

Abstract Numerical schemes for advection-dominated transport problems are are evaluated in a comparative study. Explicit and implicit finite difference methods…

Optimal approximation of unique continuation

7 months ago

Abstract We consider numerical approximations of ill-posed elliptic problems with conditional stability. The notion of optimal error estimates is defined including…

Inverse interpolating splines with applications to the equation solving

10 months ago

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

10 months ago

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

10 months ago

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

10 months ago

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

10 months ago

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

10 months ago

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

11 months ago

Abstract Numerical solutions for flows in partially saturated porous media pose challenges related to the non-linearity and elliptic-parabolic degeneracy of…

Numerical Analysis

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