Monte Carlo Based Personalized PageRank on Dynamic Networks by Zhang Junchao, Chen Junjie, Jiancheng Song, Rong-Xiang Zhao

“…In large-scale networks, the structure of the underlying network changes frequently, and thus the power iteration method for Personalized PageRank computation cannot deal with this kind of dynamic network efficiently. …”
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Kinematical Research of Free-Floating Space-Robot System at Position Level Based on Screw Theory by Yong Wang, Xiaojun Liang, Kejie Gong, Ying Liao

“…Due to the complexity of inverse kinematical equations, a numerical method is proposed based on Newton’s iteration method. Two calculation examples are given, a dual-arm planar model and a single-arm spatial model; both forward and inverse kinematical solutions are given, while inverse kinematical results are compared with simulation results of Adams. …”
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A Three-Section-Settlement Calculation Method for Composite Foundation Reinforced by Geogrid-Encased Stone Columns by Binhui Ma, Zhiyong Hu, Zhuo Li, Kai Cai, Minghua Zhao, Chengbin He, Qiunan Chen, Bingchu Chen, Xiaocheng Huang

“…The settlement of reinforced section is calculated by the layered iteration method based on the pile element model. The compatibility of vertical and radial deformations of unreinforced section is analyzed based on the pile-soil element model. …”
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Random Vibration Analysis of Coupled Three-Dimensional Maglev Vehicle-Bridge System by Wei Liu, Wenhua Guo

“…The equation of motion of a real three-span space continuous girder bridge is established by using finite element methods. A separated iteration method based on the precise integration method and the Newmark method is introduced to solve the state-space equation for the maglev vehicle and the equation of motion for the bridge. …”
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Analysis on Elastohydrodynamic Lubrication in Grease-lubricated Ball Bearings Considering Film Thickness Correction by Zhang Weiye, Zhang Chang, Jiang Ziyang, Ni Wenjun, Liao Fuqiang

“…Finally, the model is solved numerically using a direct iteration method to analyze the effects of different rheological indices, ellipticity, entrainment speeds, and loads on the film thickness and pressure of the grease. …”
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Marshall–Olkin Extended Gumbel Type-II Distribution: Properties and Applications by Farwa Willayat, Naz Saud, Muhammad Ijaz, Anita Silvianita, Mahmoud El-Morshedy

“…A simulation study is conducted using three different iterative methods with different samples of sizes n. The usefulness and potentiality of the MOEGT-II distribution have been shown using three real life data sets. …”
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Static Equilibrium Characteristics of Full-Flow Staged Combustion Cycle Engine Under Different Propellants by Haodong He, Nanjia Yu, Sihan Di, Guobiao Cai, Chuang Zhou, Lihao Zheng

“…The present study introduces an equilibrium model of the FFSC engine, utilizing the Raptor engine as a reference point and employing the discrete Newton iteration method to resolve the equilibrium equations in a fixed-point format. …”
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Analysis of Vibration Characteristic of Laminated Coupling of High Power Permanent Magnet Direct Drive Locomotive by Zhihe Zhang, Shoune Xiao, Guangwu Yang, Youtao Liang, Xiangru Zhang

“…The least square iteration method is used to identify the modal parameters of the laminated coupling at high speed and the modal parameters are obtained. …”
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ANALYSIS OF LOAD CAPACITY AND TEMPERATURE FIELD OF SPHERICAL HYBRID SLIDING BEARINGS (MT) by XUE Hao, SHEN JingFeng, QIN Wei, CHENG Pan, ZHU Rui

“…The pressure distribution and temperature distribution of oil film of the spherical hybrid sliding bearings are calculated by combining the finite difference method and relaxation iteration method. The influence of working parameters on bearing capacity and oil film temperature rise was investigated. …”
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A Comparative Analysis of Fractional Space-Time Advection-Dispersion Equation via Semi-Analytical Methods by Noufe H. Aljahdaly, Rasool Shah, Muhammed Naeem, Mohammad Asif Arefin

“…A innovative techniques, homotopy perturbation method and new iteration method, are used in connection with the Elzaki transform to solve the “fractional advection-dispersion equation” which provides the solution in the convergent series form. …”
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Improved Newton Iterative Algorithm for Fractal Art Graphic Design by Huijuan Chen, Xintao Zheng

“…Aiming at this problem, this paper proposes an improved optimization method for selecting the initial value of the Gauss-Newton iteration method. Through the area division method of the system composed of the sensor array, the effective initial value of iterative calculation is selected in the corresponding area for subsequent iterative calculation. …”
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Nonlinear forced vibration of the FGM piezoelectric microbeam with flexoelectric effect by Lichang Shan, Guangchun Xiao, Anqing Li, Shasha Zhou, Li Wang, Weiguang Su, Yonglong Liu, Lei Yang, Xiaoyue Song

“…The governing equations, initial conditions and boundary conditions are obtained by applying Hamilton’s principle and then solved by combining the differential quadrature method (DQM) and iteration method. The innovation of this paper is to construct a nonlinear forced vibration model of piezoelectric microbeams. …”
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Hierarchical Matrices Method and Its Application in Electromagnetic Integral Equations by Han Guo, Jun Hu, Hanru Shao, Zaiping Nie

“…To solve H-matrices system, Krylov iteration methods can be employed with appropriate preconditioners, and direct solvers based on the hierarchical structure of H-matrices are also available along with high efficiency and accuracy, which is a unique advantage compared to other fast algorithms. …”
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Transport demand as a function of the state of a transport network by T. Sakulyeva

“…They reveal the interrelation of the various steps of the modeling process and the need to use iterative methods of calculation. The functionality of the model is determined by the presence of feedbacks, which increase the ability of the model to predict actual results. …”
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Joint Optimization Design of UAV-Active RIS System Based on a Quadratic Transformation by Yi Peng, Haolin Li, Qingqing Yang

“…Finally, the alternating iteration method is used to obtain the suboptimal solution of the original problem. …”
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A Software Tool for Optimal Sizing of PV Systems in Malaysia by Tamer Khatib, Azah Mohamed, K. Sopian

“…As for PV system sizing, iterative methods are used for determining the optimal sizing of three types of PV systems, which are standalone PV system, hybrid PV/wind system and hybrid PV/diesel generator system. …”
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Unfixed Bias Iterator: A New Iterative Format by Zeqing Zhang, Xue Wang, Jiamin Shen, Man Zhang, Sen Yang, Fanchang Yang, Wei Zhao, Jia Wang

“…Solving PDEs numerically is usually done by first meshing the solution region with finite difference method (FDM) and then using iterative methods to obtain an approximation of the exact solution on these meshes, hence decades of research to design iterators with fast convergence properties. …”
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A New Evaluation Method of Total Organic Carbon for Shale Source Rock Based on the Effective Medium Conductivity Theory by Jian Fu, Xuesong Li, Yonghe Sun, Qiuli Huo, Ting Gao, Li Fu, Yuchen Liu, Suxing Dong, Haijun Fan

“…The model parameters are determined through the optimization method, and the bisection iteration method is used to solve the model equation. Compared with the classic TOC calculation method, the new model can evaluate the abundance of organic matter in shale and tight sandstone, which provides a new option to assess the TOC of rocks based on logging methods.…”
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Predictive Modeling of Total Real and Reactive Power Losses in Contingency Systems Using Function-Fitting Neural Networks with Graphical User Interface by Alfredo Bonini Neto, Alexandre de Queiroz, Giovana Gonçalves da Silva, André Gifalli, André Nunes de Souza, Enio Garbelini

“…ANN models excel at capturing the nonlinear behavior of power systems, eliminating the need for iterative methods commonly used in traditional approaches. …”
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Efficacy of Hummel (Modified Schlumberger) Arrays of Vertical Electrical Sounding in Groundwater Exploration: Case Study of Parts of Ibadan Metropolis, Southwestern Nigeria by Micheal Oladunjoye, Solomon Jekayinfa

“…The field data were interpreted qualitatively by curve matching and computer iterative methods. Also, statistical analysis of subsurface units and the coefficient of correlation “R” of the statistical plots of the field data shows the relationship between the different arrays. …”
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