## Block incremental unknowns for anisotropic elliptic equations

AbstractIn this article, we define the notion of block incremental unknowns for anisotropic elliptic equations. Written in a block structure,…

## On an approximation operator and its Lipschitz constant

AbstractIn this note we consider an approximation operator of Kantorovich type in which expression appears a basic sequence for a…

## Numerical Modeling of Solute Transport in Heterogeneous Aquifers

AbstractAuthorsN. Suciu -Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy C. Vamoș -Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy H. Vereecken…

## Direct and indirect approximations to positive solution for a nonlinear reaction-diffusion problem. Part II. Indirect approximation

AbstractIn this paper, we continue the study initiated in our previous work [3] and design a projection-like algorithm to approximate…

## Direct and indirect approximations to positive solution for a nonlinear reaction-diffusion problem. Part I. Direct (variational) approximation

AbstractPublisher NameWe consider a nonlinear, second-order, two-point boundary value problem that models some reaction-diffusion precesses. When the reaction term has…

## On the Misra-Prigogine-Courbage theory of irreversibility

AbstractStochastic processes and dynamical systems in measure spaces are defined as classes of random variables in the Doob sense. Markov…

## On the superlinear convergence of the successive approximations method

Abstract The Ostrowski theorem is a classical result which ensures the attraction of all the successive approximations xk+1 = G(xk) near a fixed…

## Affine invariant conditions for the inexact perturbed Newton method

Abstract The high q-convergence orders of the inexact Newton iterates were characterized by Ypma in terms of some affine invariant…

## On the approximation of solutions to nonlinear operators between metric spaces

Abstract A Gauss-Seidel method for linear systems, based on decomposing the matrix system into four submatrices blocks, has been proposed…

## On a third order iterative method for solving polynomial operator equations

Abstract We present a semilocal convergence result for a Newton-type method applied to a polynomial operator equation of degree (2).…