Results 71 to 80 of about 183,894 (263)

Ball Convergence of an Efficient Eighth Order Iterative Method Under Weak Conditions

Mathematics, 2018
The convergence order of numerous iterative methods is obtained using derivatives of a higher order, although these derivatives are not involved in the methods.
Janak Raj Sharma, Ioannis K. Argyros, Sunil Kumar   +2 more
doaj   +1 more source

Compressible Flow Exfoliation of Two‐Dimensional Nanomaterials: Insights Into Layer Separation Informed by Gas Dynamics

Advanced Engineering Materials, EarlyView.
This study elucidates the mechanism of compressible flow exfoliation for producing 2D hexagonal boron nitride (h‐BN). Fluid dynamics analysis reveals that acceleration‐driven aerodynamic shear forces, rather than shock waves alone, drive effective layer separation.
Md Farhadul Islam, Saeed Arabha, Ray Hixon, Reza Rizvi   +3 more
wiley   +1 more source

Extending the radius of convergence for a class of Euler-Halley type methods

Journal of Numerical Analysis and Approximation Theory, 2019
The aim of this paper is to extend the  radius of convergence and improve the ratio of convergence for a certain class of Euler-Halley type methods with one parameter in a Banach space.
Santhosh George, Ioannis K Argyros
doaj   +2 more sources

A Class of Sixth-Order Iterative Methods for Solving Nonlinear Systems: The Convergence and Fractals of Attractive Basins

Fractal and Fractional
In this paper, a Newton-type iterative scheme for solving nonlinear systems is designed. In the process of proving the convergence order, we use the higher derivatives of the function and show that the convergence order of this iterative method is six ...
Xiaofeng Wang, Wenshuo Li
doaj   +1 more source

Local Convergence of an Optimal Eighth Order Method under Weak Conditions

Algorithms, 2015
We study the local convergence of an eighth order Newton-like method to approximate a locally-unique solution of a nonlinear equation. Earlier studies, such as Chen et al. (2015) show convergence under hypotheses on the seventh derivative or even higher,
Ioannis K. Argyros, Ramandeep Behl, S.S. Motsa   +2 more
doaj   +1 more source

Investigation of Laser Ablation and Brush Pre‐Treatments for AlCu Cold Roll Bonding in Oxygen‐Free Conditions

Advanced Engineering Materials, EarlyView.
It is shown that laser ablation pretreatment under oxygen‐free conditions enables copper–aluminium bonding at significantly lower deformation degrees and improved properties compared to mechanical brushing. Laser ablation further increases interface contact area and induces favourable residual stress states and microstructural compatibility ...
Khemais Barienti, Finn‐Lennard Janthur, Selina Raumel, Sascha Jan Zimmermann, Sarah Seffer, René Gustus, Sebastian Herbst, Marc C. Wurz, Ludger Overmeyer, Wolfgang Maus‐Friedrichs, Hans Jürgen Maier, Florian Nürnberger   +11 more
wiley   +1 more source

Simulation‐Based Assessment of Second‐Order Residual Stress Fields on the Fatigue Performance of Silicon‐Strengthened Ferritic Ductile Irons

Advanced Engineering Materials, EarlyView.
This work presents a simulation‐based framework based on representative volume elements (RVEs) that explicitly incorporates process‐induced second‐order residual stresses into the fatigue strength assessment of ductile cast iron (DCI). For the first time, this approach enables a direct evaluation of the influence of second‐order residual stress fields ...
Lutz Horbach, Xuemei Lyu, Jiali Zhang, Felix Weber, Christoph Broeckmann   +4 more
wiley   +1 more source

Local convergence of a two-step Gauss-Newton Werner-type method for solving least squares problems

Journal of Numerical Analysis and Approximation Theory
The aim of this paper is to extend the applicability of a two-step Gauss-Newton-Werner-type method (TGNWTM) for solving nonlinear least squares problems.
Ioannis K. Argyros, Santhosh George
doaj   +1 more source

Local Convergence of Jarratt-Type Methods with Less Computation of Inversion Under Weak Conditions

Mathematical Modelling and Analysis, 2017
We present a local convergence analysis for Jarratt-type methods in order to approximate a solution of a nonlinear equation in a Banach space setting. Earlier studies cannot be used to solve equations using such methods.
Ioannis K. Argyros, Santhosh George
doaj   +1 more source

Laser Metal Powder Deposition of Titanium Microalloyed HSLA Steel FeC0.12Si0.25Mn1.3

Advanced Engineering Materials, EarlyView.
This study investigates the additive manufacturing of titanium‐doped high‐strength low‐alloy (HSLA) steel via laser metal deposition. It reveals distinct process‐structure relationships for elemental powder blends compared to prealloyed feedstocks.
Olaf Stelling, Matthias Steinbacher, Nils Ellendt   +2 more
wiley   +1 more source