Results 111 to 120 of about 35,732 (193)

Convergence Behaviour of Newton-Raphson Method in Node- and Loop-Based Non-linear Magnetic Equivalent Circuit Analysis

, 2020
In this paper, the non-linear magnetic system equations are derived. The Newton-Raphson method is used to solve the system of non-linear equations. A simplified Jacobian is derived for both node- and loop-based magnetic equivalent circuit analysis.
Balaganesh Boomiraja, Ragavan Kanagaraj, Kanagaraj, Ragavan, Boomiraja, Balaganesh   +3 more
core   +1 more source

Solid Mechanics Segregated Solver Acceleration With Jacobian‐Free Newton‐Krylov

International Journal for Numerical Methods in Engineering, Volume 127, Issue 11, 15 June 2026.
ABSTRACT The segregated algorithm is a common approach for finite volumes solvers in solid mechanics, providing a memory‐efficient and straightforward implementation. Due to the inter‐coupling of the components through the source terms, it suffers from a slow convergence behavior in specific scenarios, such as geometries with significantly uneven ...
Andry Monlon, Alessandro Scolaro, Philip Cardiff, Ivor Clifford, Oskari Pakari, Mathieu Hursin   +5 more
wiley   +1 more source

Accelerated Newton-Raphson power flow

, 2011
This paper introduces the Newton-like method of modifying the right-hand-side vector into the power flow solution. Based on this method, the accelerated Newton–Raphson (ANR) power flow algorithm is proposed. In the proposed algorithm, a constant Jacobian
Li, Gan, Zhang, Xiao-Ping; id_orcid, Xiao-Ping Zhang, Gan Li, Xi-Fan Wang, Wang, Xi-Fan   +5 more
core   +1 more source

The continuous Newton-Raphson method can look ahead

, 2003
This paper is about an intriguing property of the continuous Newton-Raphson method for the minimization of a continuous objective function f: if x is a point in the domain of attraction of a strict local minimizer x* then the flux line of the Newton ...
Nedic, Jelena, Hauser, Raphael
core  

NUMERICAL ANALYSIS OF THE STRESS-STRAIN STATE OF THE MEMBRANE SHELL WITH ACCOUNT OF GEOMETRICAL NON-LINEARITY

Structural Mechanics of Engineering Constructions and Buildings, 2012
The numerical procedures and results of analysis of rectangular membranes are presented. For the solution of the nonlinear problem the finite difference energy method and Newton-Raphson method are used.
S I Trushin, E V Sysoeva
doaj  

A combination of Newton-Raphson method and heuristics algorithms for parameter estimation in photovoltaic modules.

Heliyon, 2021
Gnetchejo PJ, Ndjakomo Essiane S, Dadjé A, Ele P.   +3 more
europepmc   +1 more source

Modifications of the Newton–Raphson method for finite element simulations in ferroelectroelasticity

, 2013
The system of equations arising in finite element simulations of components made of ferroelectroelastic materials is non-linear if the loading is sufficiently high.
Balke, H., Roth, S., Neumeister, P., Stark, S.   +3 more
core   +1 more source

Efficiency of Ridders’ method in solving nonlinear equations using Scilab programming

Data Analytics and Applied Mathematics
The study aims to compare the efficiency of numerical methods such as Bisection, Secant, Newton-Raphson, Ridders and Halley’s methods in solving nonlinear scalar equations.
Annie Gorgey, Farah Adilla Azim, Zul Hafiezy Zulkifly, Haslinah Hassim   +3 more
doaj   +1 more source

A novel implicit Newton-Raphson geometry optimization method for density functional theory calculations

, 2001
A novel Newton–Raphson geometry optimization method for density functional theory calculation is presented. Contrary to the standard Newton–Raphson procedure, our method does not require the calculation of the full Hessian matrix.
Meloni, Simone, Parrinello, Michele, Michele Parrinello, Parrinello, M., Simone Meloni, Francesco Filippone, Filippone, F., Filippone, Francesco, Meloni, S.   +8 more
core   +1 more source

Modeling and Parameter Extraction of PV Cell Using Single- and Two-Diode Model

International Journal of Energetica, 2017
Photovoltaic modules operate under a large range of conditions. This combined with the fact that manufacturers provide electrical parameters at specific conditions (STC).
bouchra benabdelkrim
doaj