Results 61 to 70 of about 183,894 (263)
Ball convergence for an Aitken-Newton method
Journal of Numerical Analysis and Approximation Theory, 2018 We present a local convergence analysis of an eighth-order Aitken-Newton method for approximating a locally unique solution of a nonlinear equation. Earlier studies have shown convergence of these methods under hypotheses up to the eighth derivative of ...
Ioannis K. Argyros +2 more
doaj
Annals of the West University of Timisoara: Mathematics and Computer Science, 2019 In the present paper, we consider a construction proposed in Xiao and Yin (2016) to improve the order of convergence of the method from p to p + 2m under weaker assumptions.
Argyros Ioannis K. +2 more
doaj +1 more source
Advanced Engineering Materials, EarlyView.This study investigates laser shock peening for enhancing fatigue performance of riveted aerospace aluminum joints. A comparative approach with cold expansion combines fatigue testing and synchrotron X‐ray methods. Integrating mechanical testing with residual stress and strain characterization provides insights into how different treatments affect the ...
Ogün Baris Tapar +6 more
wiley +1 more source
Kuwait Journal of ScienceFinding efficient and accurate solutions to non-linear equations is a critical challenge in many scientific and engineering fields. Iterative methods often require a well-chosen initial point to ensure convergence, but determining this point can be ...
Maira Khalid +2 more
doaj +1 more source
On the Local Convergence of an Eighth-order Method for Solving Nonlinear Equations
Annals of the West University of Timisoara: Mathematics and Computer Science, 2016 We present a local convergence analysis of an eighth-order method for approximating a locally unique solution of a non-linear equation. Earlier studies such as have shown convergence of these methods under hypotheses up to the seventh derivative of the ...
Argyros Ioannis K. +2 more
doaj +1 more source
Advanced Engineering Materials, EarlyView.This study explores the lightweight potential of laser additive‐manufactured NiTi triply periodic minimal surface sheet lattices. It systematically investigates the effects of relative density and unit cell size on surface quality, deformation recovery, compression behavior, and energy absorption.
Haoming Mo +3 more
wiley +1 more source
Expanding the Applicability of Four Iterative Methods for Solving Least Squares Problems
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 The aim of this paper is to expand the applicability of four iterative methods for solving nonlinear least squares problems. The advantages obtained under the same computational cost as in earlier studies, include: larger radius of convergence, tighter ...
Argyros Ioannis K. +2 more
doaj +1 more source
Local convergence of a fifth convergence order method in Banach space
Arab Journal of Mathematical Sciences, 2017 We provide a local convergence analysis for a fifth convergence order method to find a solution of a nonlinear equation in a Banach space. In our paper the sufficient convergence conditions involve only hypotheses on the first Fréchet-derivative ...
Ioannis K. Argyros, Santhosh George
doaj +1 more source
(Non)local $\Gamma$-convergence
, 2020 We present some long-range interaction models for phase coexistence which have recently appeared in the literature, recalling also their relation to classical interface and capillarity problems. In this note, the main focus will be on the $\Gamma$-convergence methods, emphasizing similarities and differences between the classical theory and the new ...
Dipierro, Serena +2 more
openaire +1 more source
Advanced Engineering Materials, EarlyView.This study demonstrates a novel noninvasive strategy to treat in‐stent restenosis using focused ultrasound. A shape memory alloy stent initially expands at body temperature. If restenosis occurs, targeted ultrasound heating thermally actuates the stent, enabling a secondary expansion to reopen the blocked vessel, offering a potential alternative to ...
Stephen Asare +3 more
wiley +1 more source