A Numerical Approach to Static Deflection Analysis of an Infinite Beam on a Nonlinear Elastic Foundation: One-Way Spring Model by Jinsoo Park, Hyeree Bai, T. S. Jang

“…The nonlinear procedure involves Green’s function technique and an iterative method using the pseudo spring coefficient. …”
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Existence of Traveling Waves for a Delayed SIRS Epidemic Diffusion Model with Saturation Incidence Rate by Kai Zhou, Qi-Ru Wang

“…This paper is concerned with the existence of traveling waves for a delayed SIRS epidemic diffusion model with saturation incidence rate. By using the cross-iteration method and Schauder’s fixed point theorem, we reduce the existence of traveling waves to the existence of a pair of upper-lower solutions. …”
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Solutions of Systems of " Order Ordinary Differential Equations Using the Combined Laplace Transform-Adomian Decomposition Method. by Byamukama, Justus

“…The Laplace transform and Adomian decomposition methods are combined and an n" iterative formula is generated. Some examples are presented to show the ability of the method for linear and non-linear systems of differential equations. …”
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Optimasi Proses Klasterisasi di MySQL DBMS dengan Mengintegrasikan Algoritme MIC-Kmeans Menggunakan Bahasa SQL dalam Stored Procedure by Issa Arwani

“…The test results show that the SQL MIC-Kmeans method can reduce 43% the number of iterations and reduce 39% of the time required from the SQL-Kmeans method to reach convergence. …”
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Local solvability of a constrainedgradient system of total variation by C. E. Chidume, H. Zegeye

“…Under various continuity assumptions on F and K such that 0=u+KFu has a solution, iterative methods which converge strongly to such a solution are constructed. …”
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Parallelization in combining the SOM and Sammon's mapping by Gintautas Dzemyda, Olga Kurasova, Virginijus Marcinkevičius

“…The results of investigation allow us to optimize the number of the SOM training epochs, the number of the SOM training blocks, and the number of Sammon’s iterations. …”
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Fixed Point Theorems of Superlinear Operators with Applications by Shaoyuan Xu, Yan Han

“…In this paper, by using the partial order method and monotone iterative techniques, the existence and uniqueness of fixed points for a class of superlinear operators are studied, without requiring any compactness or continuity. …”
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Reproducing Kernel Method for Solving Nonlinear Differential-Difference Equations by Reza Mokhtari, Fereshteh Toutian Isfahani, Maryam Mohammadi

“…On the basis of reproducing kernel Hilbert spaces theory, an iterative algorithm for solving some nonlinear differential-difference equations (NDDEs) is presented. …”
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Cloud computing forensic model by Yuan-zhao GAO, Xue-juan LI, Bing-long LI, Xi-xi WU

“…Aiming at the main challenges facing cloud forensics,cloud characteristics were analyzed and a cloud forensic model was proposed.In the model,the deployment of persistent forensic readiness service,multi-round identification strategy based on “iteration” and multi-level evidence location method for distributed file system,“data isolation” and “on-demand collection” strategies,and the establishment of comprehensive evidence analysis platform based on cloud resources were presented.Finally,the validity of the model was analyzed combining the forensic scene in the cloud environment.…”
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Convergence Theorems for Equilibrium Problems and Fixed-Point Problems of an Infinite Family of ki-Strictly Pseudocontractive Mapping in Hilbert Spaces by Haitao Che, Meixia Li, Xintian Pan

“…We first extend the definition of Wn from an infinite family of nonexpansive mappings to an infinite family of strictly pseudocontractive mappings, and then propose an iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of an infinite family of ki-strictly pseudocontractive mappings in Hilbert spaces. …”
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Research of Full-posture Workspace and Its Characteristic of 3-RRR Planar Parallel Robot by Cui Jiankun, Yu Jiajun, Cao Liya

“…A new representation method of the workspace of a planar parallel manipulator is presented.Taking the 3 RRR plane parallel robot as an example,according to the iterative search method,the inverse solution equation is used as the discriminant,and the circular search of workspace is carried out. …”
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COGNITIVE MODELING BASED ON NONMANIPULABLE MECHANISMS OF THE MANAGEMENT DECISION MAKING by O. V. Lavrichenko

“…Author modified classical iterative algorithm of resource allocation when not transferable utility preferences of decision-makers, in relation to a multi-criteria problems parameterization balance for their distribution. …”
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Development trends of information and communication technology by ZHANG Tongxu, YU Li

“…Information and communication technology underwent rapid evolution, experiencing three stages: source innovation, iterative innovation, and convergence innovation. These three stages were sequentially ordered yet overlapped with each other. …”
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Model Error Correction in Data Assimilation by Integrating Neural Networks by Jiangcheng Zhu, Shuang Hu, Rossella Arcucci, Chao Xu, Jihong Zhu, Yi-ke Guo

“…Focusing on the structural model uncertainty, we propose a framework for integration NN with the physical models by DA algorithms, to improve both the assimilation process and the forecasting results. The NNs are iteratively trained as observational data is updated. …”
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Modification of the Quasilinearization Method for the Inverse Problem by Lenka Celechovská-Kozáková

“…We propose a new modification of Bellman's quasilinearization method such that at any iteration step, it works with an approximate solution of the original nonlinear system and with new approximation of parameters α(k+1) which are close enough to the previous ones. …”
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A Newton-type method and its application by V. Antony Vijesh, P. V. Subrahmanyam

“…As corollaries, a recent theorem of Argyros (2003) and the classical convergence theorem for modified Newton iterates are deduced. We further obtain an existence theorem for a class of nonlinear functional integral equations involving the Urysohn operator.…”
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Masses of Single, Double, and Triple Heavy Baryons in the Hyper-Central Quark Model by Using GF-AEIM by M. Abu-shady, H. M. Fath-Allah

“…By using the generalized fractional analytical iteration method (GF-AEIM), the single, the double, and the triple heavy baryons masses are calculated in the hyper-central model in the two cases. …”
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New Convergence Properties of the Primal Augmented Lagrangian Method by Jinchuan Zhou, Xunzhi Zhu, Lili Pan, Wenling Zhao

“…Different convergence results are discussed dependent on whether the iterative sequence {xk} generated by algorithm is convergent or divergent. …”
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An Implicit Algorithm Based on Continuous Moving Least Square to Simulate Material Mixing in Friction Stir Welding Process by Abdelaziz Timesli, Bouazza Braikat, Hassane Lahmam, Hamid Zahrouni

“…An implicit iterative algorithm, based on the continuous moving least square (CMLS), is developed to simulate material mixing in Friction Stir Welding (FSW) process. …”
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A Viscosity Approximation Scheme for Finding Common Solutions of Mixed Equilibrium Problems, a Finite Family of Variational Inclusions, and Fixed Point Problems in Hilbert Spaces by Bin-Chao Deng, Tong Chen, Baogui Xin

“…We introduce an iterative method for finding a common element of set of fixed points of nonexpansive mappings, the set of solutions of a finite family of variational inclusion with set-valued maximal monotone mappings and inverse strongly monotone mappings, and the set of solutions of a mixed equilibrium problem in Hilbert spaces. …”
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