## Steffensen type methods for approximating solutions of differential equations

AbstractThe implicit methods for numerical solving of ODEs lead to nonlinear equations which are usually solved by the Newton method.…

## Seismic hemispheric asymmetry induced by Earth’s inner core decentering

AbstractIn a first approximation, the Earth’s interior has an isotropic structure with a spherical symmetry. Over the last decades the…

## Solute transport in aquifers with evolving scale heterogeneity

AbstractTransport processes in groundwater systems with spatially heterogeneous properties often exhibit anomalous behavior. Using first-order approximations in velocity fluctuations we…

## Global random walk simulations for sensitivity and uncertainty analysis of passive transport models

AbstractThe Global Random Walk algorithm (GRW) performs a simultaneous tracking on a fixed grid of huge numbers of particles at…

## Accuracy of numerical simulations of contaminant transport in heterogeneous aquifers: A comparative study

AbstractThis work deals with a comparison of different numerical schemes for the simulation of contaminant transport in heterogeneous porous media.…

## Bilateral approximations for some Aitken-Steffensen-Hermite type methods of order three

Abstract We study the local convergence of some Aitken–Steffensen–Hermite type methods of order three. We obtain that under some reasonable…