Results 61 to 70 of about 470,890 (244)

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

Bimetallic Nanoparticles as Cocatalysts for Photocatalytic Hydrogen Production

Advanced Functional Materials, EarlyView.
Recent developments have introduced bimetallic nanoparticles as effective cocatalysts for photocatalytic systems. This review explores the rapidly expanding research on bimetallic cocatalysts for photocatalytic production of hydrogen, emphasizing the creation of carrier‐selective contacts, localized surface plasmon resonance effects, methodologies for ...
Yufen Chen, Asier Agrelo‐Lestón, Ignasi Burgués‐Ceballos, Jordi Llorca, Lluís Soler   +4 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

CO2 Reduction on Copper‐Nitrogen‐Doped Carbon Catalysts Tuned by Pulsed Potential Electrolysis: Effect of Pulse Potential

Advanced Functional Materials, EarlyView.
This study demonstrates that pulsed potential electrolysis significantly improves CO2 reduction performance on copper‐nitrogen doped carbon electrodes. The formation of cationic copper sites and metallic clusters as a function of applied intermittent potential leads to notable selectivity changes compared to potentiostatic reduction.
Dorottya Hursán, Janis Timoshenko, Andrea Martini, Hyo Sang Jeon, Eduardo Ortega, Martina Rüscher, Arno Bergmann, Aram Yoon, Uta Hejral, Antonia Herzog, Clara Rettenmaier, Felix T. Haase, Philipp Grosse, Beatriz Roldan Cuenya   +13 more
wiley   +1 more source

A single-domain spectral method for black hole puncture data

, 2004
We calculate puncture initial data corresponding to both single and binary black hole solutions of the constraint equations by means of a pseudo-spectral method applied in a single spatial domain.
Bernd Brügmann, C. Misner, G. B. Cook, J. P. Boyd, Marcus Ansorg, R. Barrett, Wolfgang Tichy   +6 more
core   +1 more source

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

Semi-local convergence of iterative methods and Banach space valued functions in abstract fractional calculus

Journal of Numerical Analysis and Approximation Theory, 2018
We present a semi-local convergence analysis for a class of iterative methods under generalized conditions. Some applications are suggested including Banach space valued functions of fractional calculus, where all integrals are of Bochner-type.
Ioannis K. Argyros, George A. Anastassiou   +1 more
openaire   +3 more sources

Mechanical Properties of Architected Polymer Lattice Materials: A Comparative Study of Additive Manufacturing and CAD Using FEM and µ‐CT

Advanced Functional Materials, EarlyView.
This study examines how pore shape and manufacturing‐induced deviations affect the mechanical properties of 3D‐printed lattice materials with constant porosity. Combining µ‐CT analysis, FEM, and compression testing, the authors show that structural imperfections reduce stiffness and strength, while bulk material inhomogeneities probably enhance ...
Oliver Walker, Thierry Roland, Damien Favier, Antoine Egele, Michael Heymann, Cosima Stubenrauch   +5 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