Convergence of a fixed point iteration method for the OSV model

2009 ◽  
Vol 215 (5) ◽  
pp. 1780-1790 ◽  
Author(s):  
Dokkyun Yi ◽  
Do-Hyung Kim ◽  
Eunyoun Kim ◽  
Sung-Dae Yang
Keyword(s):  
Fixed Point ◽  
Iteration Method ◽  
Fixed Point Iteration

TENSILE PROPERTY AND CRACK PROPAGATION BEHAVIOR OF TUNGSTEN ALLOYS

2011 ◽  
Vol 25 (11) ◽  
pp. 1475-1492 ◽  
Author(s):  
WEIDONG SONG ◽  
HAIYAN LIU ◽  
JIANGUO NING
Keyword(s):  
Fixed Point ◽  
Iteration Method ◽  
Experimental System ◽  
Unit Cell ◽  
Cell Models ◽  
Fixed Point Iteration ◽  
Tungsten Alloys ◽  
Propagation Behavior ◽  
Numerical Predictions ◽  
Microstructure Parameters

In situ SEM experimental system is employed to investigate the mechanical characteristics and the fracture behavior of 91W–6.3Ni–2.7Fe tungsten alloys. The crack initiation and propagation of tungsten alloys under tensile loadings are examined. Multi-particle unit cell models containing the microstructure characteristics of tungsten alloys are established. Fixed-point iteration method is firstly used for the multi-particle unit cell's boundary condition. By adopting the method, real displacement constrained conditions are applied on the multi-particle unit cell models. The mechanical and fracture behaviors of tungsten alloys under tensile loading are simulated. The effects of tungsten content, particle shape, particle size, and interface strength on the mechanical properties of tungsten alloys are analyzed. The relationship between the mechanical behaviors and the microstructure parameters is studied. A good agreement is obtained between the experimental results and the numerical predictions, verifying the rationality of the FE models using the fixed-point iteration method.

scholarly journals Regenerasi Fungsi x2-9x-99 Dalam Pembangkit Bilangan Acak Berbasis CSRPNG Chaos

AITI ◽  
2020 ◽  
Vol 16 (2) ◽  
pp. 125-134
Author(s):  
David Lihananto ◽  
Alz Danny Wowor
Keyword(s):  
Fixed Point ◽  
Iteration Method ◽  
Quadratic Function ◽  
Random Numbers ◽  
Fixed Point Iteration ◽  
Iteration Function ◽  
Run Test ◽  
Randomization Testing ◽  
Correlation Level

This study examines whether the function f(x)=x2-9x-99 can be used as a key generator in cryptography. The quadratic function is regenerated using the fixed point iteration method into an iteration function. The distribution of digits to the output of iterative function to generate a number of chaos. Randomization testing uses run test and monobit testing. Followed by cryptographic testing to get the correlation between ciphertext and key which will be used as a decision whether the resulting key is random or not. Based on research that has been done iteration function xi = (xi-12-9xi-1-99)/9 can generate CSRPNG Chaos random numbers with the correlation level closest to the value of 0.

An Application of a Fixed Point Iteration Method to Object Reconstruction

PIERS Online ◽  
2010 ◽  
Vol 6 (3) ◽  
pp. 227-231 ◽  
Author(s):  
Fermin S. Viloche Bazan ◽  
Koung Hee Leem ◽  
George Pelekanos
Keyword(s):  
Fixed Point ◽  
Iteration Method ◽  
Object Reconstruction ◽  
Fixed Point Iteration

APPROXIMATING THE SOLUTION OF A FRACTIONAL ORDER MODEL OF NOVEL CORONAVIRUS (COVID-2019) UNDER CAPUTO–FABRIZIO DERIVATIVE

2021 ◽  
Vol 11 (1) ◽  
pp. 35-46
Author(s):  
F.A. Adie ◽  
G.I. Ogban ◽  
S.E. Ekoro ◽  
O. Joseph ◽  
A.E. Ofem
Keyword(s):  
Fixed Point ◽  
Banach Spaces ◽  
Fractional Order ◽  
Iteration Method ◽  
Order Model ◽  
Fixed Point Iteration ◽  
Fractional Order Model ◽  
Novel Coronavirus

This paper presents a fixed point iteration method for approximating the solution of a fractional order model of novel coronavirus (COVID-2019) under Caputo--Fabrizio derivative in Banach spaces. Our result is new and complements some existing results in the literature.

A Fixed-Point Iteration Method With Quadratic Convergence

2012 ◽  
Vol 79 (3) ◽  
Author(s):  
K. P. Walker ◽  
T.-L. Sham
Keyword(s):  
Fixed Point ◽  
Nonlinear Equations ◽  
Unit Root ◽  
Iteration Method ◽  
Equation System ◽  
Higher Order ◽  
Iteration Algorithm ◽  
System Of Nonlinear Equations ◽  
Fixed Point Iteration ◽  
Root Functions

The fixed-point iteration algorithm is turned into a quadratically convergent scheme for a system of nonlinear equations. Most of the usual methods for obtaining the roots of a system of nonlinear equations rely on expanding the equation system about the roots in a Taylor series, and neglecting the higher order terms. Rearrangement of the resulting truncated system then results in the usual Newton-Raphson and Halley type approximations. In this paper the introduction of unit root functions avoids the direct expansion of the nonlinear system about the root, and relies, instead, on approximations which enable the unit root functions to considerably widen the radius of convergence of the iteration method. Methods for obtaining higher order rates of convergence and larger radii of convergence are discussed.

A Modified fixed point iteration method for solving exchange models

Optimization ◽  
1997 ◽  
Vol 39 (1) ◽  
pp. 43-52
Author(s):  
E. I. Nenakhov ◽  
M. E. Primak
Keyword(s):  
Fixed Point ◽  
Iteration Method ◽  
Fixed Point Iteration

Multi-Particle Unit Cell Models for Particulate-Reinforced Titanium Matrix Composites

2009 ◽  
Vol 417-418 ◽  
pp. 441-444
Author(s):  
Wei Dong Song ◽  
Hai Yan Liu ◽  
Jian Guo Ning
Keyword(s):  
Fixed Point ◽  
Iteration Method ◽  
Unit Cell ◽  
Point Of View ◽  
Matrix Composites ◽  
Cell Models ◽  
Titanium Matrix ◽  
Titanium Matrix Composites ◽  
Fixed Point Iteration ◽  
Numerical Predictions

Fixed point iteration method for multi-particle unit cell’s boundary condition is presented. On the basis of this method, the macroscopic effective material parameters can be obtained from a microscopic point of view. Multi-particle unit cell models containing some important microstructure characteristics of TP-650 titanium matrix composites are established. The real displacement constrained conditions are applied on the multi-particle unit cell using this method, and the mechanical properties and fracture behaviors of the composites under tensile loading are simulated. A good agreement was obtained between the experimental results and the numerical predictions, which verifying the rationality of the FE models based on fixed point iteration method.

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