## Persistent memory of diffusing particles

AbstractThe variance of the advection-diffusion processes with variable coefficients is exactly decomposed as a sum of dispersion terms and memory…

## Estimating the radius of an attraction ball

Abstract Given a nonlinear mapping $$G:D\subseteq \mathbb{R}^n\rightarrow \mathbb{R}^n$$ differentiable at a fixed point $$x^\ast$$, the Ostrowski theorem offers the sharp…

## A unified treatment of the modified Newton and chord methods

Abstract The aim of this paper is to obtain a unified treatment of some iterative methods. We obtain some conditions…

## On a Steffensen-Hermite method of order three

Abstract In this paper we study a third order Steffensen type method obtained by controlling the interpolation nodes in the…

## Ergodic Estimations of Upscaled Coefficients for Diffusion in Random Velocity Fields

AbstractUpscaled coefficients for diffusion in ergodic velocity fields are derived by summing up correlations of increments of the position process,…