A Local Method for ObjectRank Estimation

Current approaches to the treatment of patients with metastatic malignant tumors have changed significantly over the past decade. Instead of a purely palliative systemic or just supportive therapy, a large proportion of patients receive an aggressive local treatment directed not only to the primary tumor, but also to metastatic foci, and a number of studies demonstrate the advantage of such approach. This review provides information on the role of radiation therapy as a local method of treatment of cancer patients with oligometastases.

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Stochastic Methods Applied to Structural Mechanics

Stochastic Methods for Estimation and Problem Solving in Engineering - Advances in Mechatronics and Mechanical Engineering ◽

10.4018/978-1-5225-5045-7.ch009 ◽

2018 ◽

pp. 199-220

Author(s):

Siham Ouhimmou

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Global Optimization ◽

Transformation Method ◽

Stochastic Methods ◽

Element Analysis ◽

Local Method ◽

Structural Problem ◽

Finite Element Software ◽

The Finite Element Analysis

Uncertainty modelling with random variables motivates the adoption of advanced PTM for reliability analysis to solve problems of mechanical systems. Probabilistic transformation method (PTM) is readily applicable when the function between the input and the output of the system is explicit. When these functions are implicit, a technique is proposed that combines finite element analysis (FEA) and probabilistic transformation method (PTM) that is based on the numerical simulations of the finite element analysis (FEA) and the probabilistic transformation method (PTM) using an interface between finite element software and Matlab. Structure problems are treated with the proposed technique, and the obtained results are compared to those obtained by the reference Monte Carlo method. A second aim of this work is to develop an algorithm of global optimization using the local method SQP. The proposed approach MSQP is tested on test functions comparing with other methods, and it is used to resolve a structural problem under reliability constraints.

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Foundations of the Local Method

Springer Series in Soviet Mathematics - Local Methods in Nonlinear Differential Equations ◽

10.1007/978-3-642-61314-2_2 ◽

1989 ◽

pp. 14-95 ◽

Cited By ~ 1

Author(s):

Alexander D. Bruno

Keyword(s):

Local Method

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The fatigue life curve prediction model for welded steel structures based on local method

Fourth International Conference on Advances in Steel Structures ◽

10.1016/b978-008044637-0/50173-6 ◽

2005 ◽

pp. 1171-1176

Author(s):

G DEQING ◽

Z XIAOHUA

Keyword(s):

Fatigue Life ◽

Prediction Model ◽

Steel Structures ◽

Welded Steel ◽

Local Method

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Wavelet decomposition and nonlinear prediction of nonstationary vibration signals

Noise & Vibration Worldwide ◽

10.1177/0957456519900797 ◽

2020 ◽

Vol 51 (3) ◽

pp. 52-59 ◽

Cited By ~ 1

Author(s):

Xiao-bin Fan ◽

Bin Zhao ◽

Bing-xu Fan

Keyword(s):

Wavelet Decomposition ◽

Wavelet Packet ◽

Prediction Method ◽

Vibration Signal ◽

Signal Denoising ◽

Maximum Lyapunov Exponent ◽

Nonlinear Prediction ◽

Local Method ◽

Time Frequency ◽

Nonstationary Vibration

In order to overcome the shortcomings (such as the time–frequency localization and the nonstationary signal analysis ability) of the Fourier transform, time–frequency analysis has been carried out by wavelet packet decomposition and reconstruction according to the actual nonstationary vibration signal from a large equipment located in a large Steel Corporation in this article. The effect of wavelet decomposition on signal denoising and the selection of high-frequency weight coefficients for each layer on signal denoising were analyzed. The nonlinear prediction of the chaotic time series was made by global method, local method, weighted first-order local method, and maximum Lyapunov exponent prediction method correspondingly. It was found the multi-step prediction method is better than other prediction methods.

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Bifurcation and global dynamical behavior of the f(T) theory

Modern Physics Letters A ◽

10.1142/s0217732314500333 ◽

2014 ◽

Vol 29 (07) ◽

pp. 1450033 ◽

Cited By ~ 5

Author(s):

Chao-Jun Feng ◽

Xin-Zhou Li ◽

Li-Yan Liu

Keyword(s):

Dynamical System ◽

Critical Points ◽

Initial Conditions ◽

Dynamical Behavior ◽

Nonlinear Effects ◽

Local Analysis ◽

Local Method ◽

Initial Values ◽

Bifurcation Phenomenon

Usually, in order to investigate the evolution of a theory, one may find the critical points of the system and then perform perturbations around these critical points to see whether they are stable or not. This local method is very useful when the initial values of the dynamical variables are not far away from the critical points. Essentially, the nonlinear effects are totally neglected in such kind of approach. Therefore, one cannot tell whether the dynamical system will evolute to the stable critical points or not when the initial values of the variables do not close enough to these critical points. Furthermore, when there are two or more stable critical points in the system, local analysis cannot provide the information on which the system will finally evolute to. In this paper, we have further developed the nullcline method to study the bifurcation phenomenon and global dynamical behavior of the f(T) theory. We overcome the shortcoming of local analysis. And, it is very clear to see the evolution of the system under any initial conditions.

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