Results 61 to 70 of about 312,475 (283)

On the Convergence of a Kurchatov-Type Method for Solving Nonlinear Equations and Its Applications

AppliedMath
A local and a semi-local convergence analysis are presented for the Kurchatov-type method to solve numerically nonlinear equations in a Banach space. The method depends on a real parameter. By specializing the parameter, we obtain methods already studied
Ioannis K. Argyros, Stepan Shakhno, Halyna Yarmola   +2 more
doaj   +1 more source

Developments of Newton’s Method under Hölder Conditions

European Journal of Mathematical Analysis, 2022
The semi-local convergence criteria for Newton’s method are weakened without new conditions. Moreover, tighter error distances are provided as well as a more precise information on the location of the solution.
Samundra Regmi, Ioannis K. Argyros, Santhosh George, Christopher I. Argyros   +3 more
doaj   +1 more source

Solution‐Processed Two‐Dimensional Indium Oxide on Sodium‐Embedded Alumina for Reconfigurable Optoelectronic Synaptic Transistors

Advanced Functional Materials, EarlyView.
Wafer‐scale two‐dimensioanl In2Se3 oxidized into InOx on sodium‐embedded beta‐alumina enables multifunctional reconfigurable electronics. Sodium ions accumulate within distinct spatial distribution under drain‐controlle and gate‐controlled operation. Drain‐control operation gives controllability of ultraviolet‐driven optoelectronic synaptic conductance
Jinhong Min, Yonghyun Albert Kwon, Hyunbin Kim, Jihyun Kim, Myeongjin Jung, Jaewon Heo, Gwang Ya Kim, Vlastimil Mazanek, Zdeněk Sofer, In Soo Kim, Jeong Ho Cho, Hyesung Park, Sang Min Won, Joohoon Kang   +13 more
wiley   +1 more source

Compensating Operator and Weak Convergence of Semi-Markov Process to the Diffusion Process without Balance Condition

Journal of Applied Mathematics, 2015
Weak convergence of semi-Markov processes in the diffusive approximation scheme is studied in the paper. This problem is not new and it is studied in many papers, using convergence of random processes.
Igor V. Malyk
doaj   +1 more source

Glissile Interphase Boundaries Enable Collective Phase Switching in Epitaxial Polar Oxides

Advanced Functional Materials, EarlyView.
A triple point is identified in the phase diagram of low‐symmetry epitaxial BiFeO3 thin film along with an extended regime of phase competition associated with a flattened energy landscape. The electromechanical response is shown to be governed by correlated interphase‐boundary motion, including scale‐free avalanche dynamics characteristic of systems ...
Mohammad Moein Seyfouri, Oliver Paull, Ralph Bulanadi, Yasuhiro Sakamoto, Shintaro Yasui, Mikayla Lord, Mahak Chhabra, David Walker, Patrycja Paruch, Shery Chang, Nagarajan Valanoor, Daniel Sando   +11 more
wiley   +1 more source

SPATIAL AND SECTORAL PRODUCTIVITY CONVERGENCE BETWEEN EUROPEAN REGIONS, 1975-2000 [PDF]

This paper analyzes the evolution of labor productivity disparities among 145 European regions over 1975-2000 according to the concepts of sigma- and beta-convergence and emphasizes the importance of including both spatial effects and a disaggregated ...
Julie Le Gallo, Sandy Dall’erba
core   +2 more sources

Extended Parametric Family of Two-Step Methods with Applications for Solving Nonlinear Equations or Systems

Axioms
The parametric family of two-step methods, with its special cases, has been introduced in various papers. However, in most cases, the local convergence analysis relies on the existence of derivatives of orders that the method does not require.
Ioannis K. Argyros, Stepan Shakhno, Mykhailo Shakhov   +2 more
doaj   +1 more source

Controlled Engineering of 2D Alkali‐Iron‐Chloride Compounds and Lateral Quantum Heterostructures Within Confined Graphene Nanoreactors

Advanced Functional Materials, EarlyView.
This work presents a programmable atomic engineering strategy for 2D materials using Å‐scale nanoreactors formed by bilayer graphene (BLG) intercalation. A new class of alkali‐iron‐chloride compounds, along with lateral heterostructures composed of monolayer alkali halides and iron chlorides, is revealed.
Haiming Sun, Qiunan Liu, Yung‐Chang Lin, Mahdi Ghorbani‐Asl, Hiroki Ago, Arkady V. Krasheninnikov, Kazu Suenaga   +6 more
wiley   +1 more source

An Improved Convergence Analysis of a Multi-Step Method with High-Efficiency Indices

Algorithms
A multi-step method introduced by Raziyeh and Masoud for solving nonlinear systems with convergence order five has been considered in this paper. The convergence of the method was studied using Taylor series expansion, which requires the function to be ...
Santhosh George, Manjusree Gopal, Samhitha Bhide, Ioannis K. Argyros   +3 more
doaj   +1 more source

Sustainable Electrochemical Synthesis of High‐Quality MXenes: Mechanistic Insights, Applications, Challenges, and Technological Prospects

Advanced Functional Materials, EarlyView.
Electrochemical etching provides an eco‐friendly alternative to hazardous HF methods for MXene production. This approach facilitates the selective isolation of the A‐layer from MAX phases with tunable surface terminations. Controlling voltage, electrolytes, temperature, and duration enables the optimal structural integrity. Nevertheless, existing scale
Jagdeep Singh, Madhusudhana M Devadiga, Santosh K. Tiwari, AS Dhaliwal, Gurpreet Singh Selopal   +4 more
wiley   +1 more source