## Pseudospectral solutions to some singular nonlinear BVPs. Applications in nonlinear mechanics

AbstractWe solve by Laguerre collocation method two second order genuinely nonlinear singularly perturbed boundary value problems and a fourth order…

## Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems

AbstractIn numerous science and engineering applications a partial differential equation has to be solved on some fairly regular domain that…

## Stable spectral collocation solutions to a class of Benjamin Bona Mahony initial value problem

AbstractWe are concerned with stable spectral collocation solutions to non-periodic Benjamin Bona Mahony (BBM), modified BBM and Benjamin Bona Mahony-Burgers…

## On the convergence of some one step and multistep iterative methods

Abstract AuthorIon Păvăloiu Keywordsnonlinear equations in R; one step iterative methods; multistep iterative methods; convergence order. ReferencesPDFScanned manuscript (in Romanian).…

## On the r-convergence orders of the inexact perturbed Newton methods

Abstract The inexact perturbed Newton methods recently introduced by us are variant of Newton method, which assume that at each step…

## Improving the rate of convergence of some Newton-like methods for the solution of nonlinear equations containing a nondifferentiable term

Abstract AuthorsIoannis K. Argyros (Cameron University, USA) Emil Cătinaş (Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy) Ion Păvăloiu (Tiberiu…

## Perturbed-Steffensen-Aitken projection methods for solving equations with nondifferentiable operators

Abstract We use perturbed Steffensen-Aitken methods to approximate a locally unique solution of an operator equation in a Banach space. Using…

## On the approximate solutions of implicit functions using the Steffensen method

Abstract We use inexact Steffensen-Aitken-type methods to approximate implicit functions in a Banach space. Using a projection operator our equation reduces to…

## 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…

## On the convergence of some quasi-Newton iterates studied by I. Păvăloiu

Abstract In 1986, I. Păvăloiu [6] has considered a Banach space and the fixed point problem \[x=\lambda D\left( x\right) +y,…