## A new optimal method of order four of Hermite–Steffensen type

Abstract We introduce a new method for solving nonlinear equations in R, which uses three function evaluations at each step…

Abstract We introduce a new method for solving nonlinear equations in R, which uses three function evaluations at each step…

Abstract We consider the numerical approximation of the linear ill-posed problem of unique continuation for the Helmholtz equation. We first…

AbstractThis paper deals with aa perturbed heavy ball system with vanishing damping that contains a Tikhonov regularization term, in connection…

AbstractThis article presents a new approach to solve the equations of flow in heterogeneous porous media by using random walks…

Book summaryNumerical analysis for partial differential equations (PDEs) traditionally considers problems that are well-posed in the continuum, for example the…

Abstract The high speed of \(x_{k}\rightarrow x^\ast\in{\mathbb R}\) is usually measured using the C-, Q- or R-orders: \begin{equation}\tag{$C$} \lim \frac…

AbstractThe present work deals with the numerical long-time integration of damped Hamiltonian systems. The method that we analyze combines a…

AbstractIn this article, we present new random walk methods to solve flow and transport problems in saturated/unsaturated porous media, including coupled flow…

AbstractIn this paper, we continue to solve as accurately as possible singular eigenvalues problems attached to the Schrödinger equation. We…

AbstractThis work is about the use of some classical spectral collocation methods as well as with the new software system…