Results 21 to 30 of about 2,835 (158)

Newton-Kantorovich Method for Solving One of the Non-Linear Sturm-Liouville Problems

open access: yesمجلة بغداد للعلوم, 2023
Due to its importance in physics and applied mathematics, the non-linear Sturm-Liouville problems witnessed massive attention since 1960. A powerful Mathematical technique called the Newton-Kantorovich method is applied in this work to one of the non ...
Hussien A. H. Abugirda   +2 more
doaj   +1 more source

NONLINEAR STRUCTURAL ANALYSIS BASED ON THE MODIFIED SEQUENTIAL LOAD METHOD

open access: yesInternational Journal for Computational Civil and Structural Engineering, 2021
The article discusses ways to improve the accuracy of solving problems of nonlinear structural mechanics. It is shown that the combination of the method of sequential loading and the Newton-Kantorovich method can improve the accuracy of the solution and ...
Vladilen Petrov
doaj   +1 more source

A Methodology for Obtaining the Different Convergence Orders of Numerical Method under Weaker Conditions

open access: yesMathematics, 2022
A process for solving an algebraic equation was presented by Newton in 1669 and later by Raphson in 1690. This technique is called Newton’s method or Newton–Raphson method and is even today a popular technique for solving nonlinear equations in abstract ...
Ioannis K. Argyros   +3 more
doaj   +1 more source

Analytical method for the kinematics of the multi-link guiding mechanisms used for vehicle rear axle suspension [PDF]

open access: yesJournal of Research and Innovation for Sustainable Society, 2020
The paper deals with an analytical method for the kinematic analysis of the multi-link guiding mechanisms used for the rear beam axles of motor vehicles. The method is based on the representation of spatial movement of the axle as a screw motion.
Cătălin Alexandru
doaj   +1 more source

Newton-Kantorovich and Smale Uniform Type Convergence Theorem for a Deformed Newton Method in Banach Spaces

open access: yesAbstract and Applied Analysis, 2013
Newton-Kantorovich and Smale uniform type of convergence theorem of a deformed Newton method having the third-order convergence is established in a Banach space for solving nonlinear equations.
Rongfei Lin   +4 more
doaj   +1 more source

Nonlinear Systems of Volterra Equations with Piecewise Smooth Kernels: Numerical Solution and Application for Power Systems Operation

open access: yesMathematics, 2020
The evolutionary integral dynamical models of storage systems are addressed. Such models are based on systems of weakly regular nonlinear Volterra integral equations with piecewise smooth kernels. These equations can have non-unique solutions that depend
Denis Sidorov   +4 more
doaj   +1 more source

Notions of optimal transport theory and how to implement them on a computer [PDF]

open access: yes, 2017
This article gives an introduction to optimal transport, a mathematical theory that makes it possible to measure distances between functions (or distances between more general objects), to interpolate between objects or to enforce mass/volume ...
Levy, Bruno, Schwindt, Erica
core   +4 more sources

Semilocal Convergence Analysis for Inexact Newton Method under Weak Condition

open access: yesAbstract and Applied Analysis, 2012
Under the hypothesis that the first derivative satisfies some kind of weak Lipschitz conditions, a new semilocal convergence theorem for inexact Newton method is presented.
Xiubin Xu, Yuan Xiao, Tao Liu
doaj   +1 more source

PROJECTION-ITERATION REALIZATION OF A NEWTON-LIKE METHOD FOR SOLVING NONLINEAR OPERATOR EQUATIONS

open access: yesJournal of Optimization, Differential Equations and Their Applications, 2019
We consider the problem of existence and location of a solution of a nonlinear operator equation with a Fr´echet differentiable operator in a Banach space and present the convergence results for a projection-iteration method based on a Newton-like method 
Liudmyla L. Hart
doaj   +1 more source

Time-stepping approach for solving upper-bound problems: Application to two-dimensional Rayleigh-Benard convection [PDF]

open access: yes, 2015
An alternative computational procedure for numerically solving a class of variational problems arising from rigorous upper-bound analysis of forced-dissipative infinite-dimensional nonlinear dynamical systems, including the Navier-Stokes and Oberbeck ...
Baole Wen   +8 more
core   +3 more sources

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