Results 71 to 80 of about 3,400 (193)

Using decomposition of the nonlinear operator for solving non‐differentiable problems

Mathematical Methods in the Applied Sciences, Volume 48, Issue 7, Page 7987-8006, 15 May 2025.
Starting from the decomposition method for operators, we consider Newton‐like iterative processes for approximating solutions of nonlinear operators in Banach spaces. These iterative processes maintain the quadratic convergence of Newton's method.
Eva G. Villalba, Miguel Hernandez, Jose L. Hueso, Eulalia Martínez   +3 more
wiley   +1 more source

Solving equations using Newton's method under weak conditions on Banach spaces with a convergence structure

Journal of Numerical Analysis and Approximation Theory, 2008
We provide new semilocal results for Newton's method on Banach spaces with a convergence structure. Using more precise majorizing sequence we show that, under weaker convergence conditions than before, we can obtain finer error bounds on the distances ...
Ioannis K. Argyros
doaj   +2 more sources

Memristive InAs‐Based Semiconductors with Anisotropic Ion Transport

Advanced Materials, Volume 37, Issue 20, May 19, 2025.
Memristive semiconductor HxNa2‐xIn2As3 exhibits memristive switching and maintains semiconductor properties through ion migration in its vdW gaps. Low ion migration energy enables a low set voltage, while its low‐symmetry structure produces anisotropic ion transport, offering insights into directional dependence.
Taeyoung Kim, Jongbum Won, Jihong Bae, Giyeok Lee, Minwoo Lee, Sangjin Choi, Sungsoon Kim, Dongchul Seo, Youngjun Cho, Taehoon Kim, Bokyeong Kim, Hong Choi, Byung‐Kyu Yu, Jaegyeom Kim, Soohyung Park, Jinwoo Cheon, Jong‐Young Kim, Juan Bisquert, Aloysius Soon, Wooyoung Shim   +19 more
wiley   +1 more source

Extended convergence of two-step iterative methods for solving equations with applications

Journal of Numerical Analysis and Approximation Theory
The convergence of two-step iterative methods of third and fourth order of convergence are studied under weaker hypotheses than in earlier works using our new idea of the restricted convergence region.
Ioannis K. Argyros, Santhosh George
doaj   +1 more source

Semilocal Convergence Domain of a Chandrasekhar Integral Equation

Symmetry
In this study, we discuss the semilocal convergence analysis of a fourth-order iterative method in Banach spaces. We assume the Fréchet derivative satisfies the Lipschitz continuity condition, obtains suitable recurrence relations, and determines the domain of convergence under appropriate initial estimates.
Eulalia Martínez, Arleen Ledesma
openaire   +1 more source

A Journey With THeSeuSS: Automated Python Tool for Modeling IR and Raman Vibrational Spectra of Molecules and Solids

WIREs Computational Molecular Science, Volume 15, Issue 3, May/June 2025.
THeSeuSS (THz Spectra Simulations Software); an automated computational platform that efficiently simulates IR and Raman spectra for both periodic and non‐periodic systems. ABSTRACT Vibrational spectroscopy is an indispensable analytical tool that provides structural fingerprints for molecules, solids, and interfaces thereof.
Ariadni Boziki, Frédéric Ngono Mebenga, Philippe Fernandes, Alexandre Tkatchenko   +3 more
wiley   +1 more source

Semilocal Convergence for a Fifth-Order Newton's Method Using Recurrence Relations in Banach Spaces

Journal of Applied Mathematics, 2011
We study a modified Newton's method with fifth-order convergence for nonlinear equations in Banach spaces. We make an attempt to establish the semilocal convergence of this method by using recurrence relations. The recurrence relations for the method are
Liang Chen, Chuanqing Gu, Yanfang Ma
doaj   +1 more source

The cubic semilocal convergence on two variants of Newton's method

Journal of Computational and Applied Mathematics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zheng, Quan, Bai, Rongxia, Liu, Zhongli
openaire   +2 more sources

Analytic Models for the Evolution of Semilocal String Networks

, 2011
We revisit previously developed analytic models for defect evolution and adapt them appropriately for the study of semilocal string networks. We thus confirm the expectation (based on numerical simulations) that linear scaling evolution is the attractor ...
Avgoustidis, A., Martins, C. J. A. P., Nunes, A. S., Urrestilla, J.   +3 more
core   +1 more source

Halogen Thermochemistry Assessed with Density Functional Theory: Systematic Errors, Swift Corrections and Effects on Electrochemistry

ChemSusChem, Volume 18, Issue 8, April 14, 2025.
Halogen thermochemistry is not well described by DFT at the GGA, meta‐GGA and hybrid levels. Electronegativity‐based corrections can be devised to swiftly and efficiently mitigate the DFT errors with respect to experiments. The negative impact of halogen errors on surface Pourbaix diagrams is illustrated for Pt and Cu.
Jhon Faber Zapata, Ricardo Urrego‐Ortiz, Santiago Builes, Federico Calle‐Vallejo   +3 more
wiley   +1 more source