Ion Păvăloiu, Author at Tiberiu Popoviciu Institute of Numerical Analysis

Local and global convergence results for a class of Steffensen-Aitken-type methods

26 Oct 2018

Abstract? AuthorsI. K. Argyros Department of Mathematics, Cameron University E. Catinas Tiberiu Popoviciu Institute of Numerical Analysis I. Pavaloiu Tiberiu Popoviciu Institute…

Conditions for the convergence of perturbed Steffensen methods on a Banach space with a convergence structure

26 Oct 2018

Abstract? Authors I.K. Argyros Department of Mathematics, Cameron University E. Catinas Tiberiu Popoviciu Institute of Numerical Analysis I. Pavaloiu Tiberiu Popoviciu Institute of…

On some general iterative methods for solving nonlinear operator equations containing a nondifferentiable term

26 Oct 2018

Abstract? Authors I.K. Argyros Department of Mathematics, Cameron University E. Catinas Tiberiu Popoviciu Institute of Numerical Analysis I. Pavaloiu Tiberiu Popoviciu Institute of…

On an Aitken-Steffensen-Newton type method

11 Oct 2018

Abstract We consider an Aitken-Steffensen type method in which the nodes are controlled by Newton and two-step Newton iterations. We…

Solution of a polylocal problem with a pseudospectral method

9 Aug 2018

Abstract Consider the problem: \( y”(x) + f(x, y) = 0, \ \ x \in [0, 1], y(a) = \alpha,…

On the convergence of some one step and multistep iterative methods

2 Apr 2018

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

On computational complexity in solving equations by Steffensen type methods

14 Mar 2018

Abstract AuthorsIon Păvăloiu Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy Keywordsnonlinear equations in R; iterative methods; Steffensen method.…

On computational complexity in solving equations by interpolation methods,

14 Mar 2018

Abstract AuthorsIon Păvăloiu KeywordsPDFScanned paper. Latex version of the paper. Cite this paper as:I. Păvăloiu, On computational complexity in solving…

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

10 Feb 2018

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

10 Feb 2018

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

Local and global convergence results for a class of Steffensen-Aitken-type methods

Conditions for the convergence of perturbed Steffensen methods on a Banach space with a convergence structure

On some general iterative methods for solving nonlinear operator equations containing a nondifferentiable term

On an Aitken-Steffensen-Newton type method

Solution of a polylocal problem with a pseudospectral method

On the convergence of some one step and multistep iterative methods

On computational complexity in solving equations by Steffensen type methods

On computational complexity in solving equations by interpolation methods,

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

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

Publications

Solutions with a prescribed interval of positivity for differential systems with nonlocal conditions

Spectral collocation solutions to a class of pseudo-parabolic equations

Numerical benchmark study for flow in highly heterogeneous aquifers

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