ECO-BIOLOGICAL SYSTEM MODELING by T. I. Burak, M. M. Tatur, M. M. Lukashevich, R. V. Trashcheev

“…Developed methodology is universal for complex ecological and biological systems. Modeling algorithm considers specialties of eco-biological systems and shows adequate and accurate results in practice.…”
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Iterative Schemes for Fixed Point Computation of Nonexpansive Mappings by Rudong Chen

“…We introduce an iterative algorithm and prove that suggested scheme converges strongly to the common fixed points of an infinite family of nonexpansive mappings under some mild conditions. …”
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Numerical Solution of Two-Dimensional Linear Fuzzy Fredholm Integral Equations by the Fuzzy Lagrange Interpolation by H. Nouriani, R. Ezzati

“…Then, we prove convergence analysis and numerical stability analysis for the proposed numerical algorithm by two theorems. Finally, by some examples, we show the efficiency of the proposed method.…”
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A Modified Approach to Distributed Bregman ADMM for a Class of Nonconvex Consensus Problems by Zhonghui Xue, Qianfeng Ma, Yazheng Dang

“…Initial numerical trials have shown encouraging outcomes, suggesting notable efficiency enhancements in the refined distributed Bregman ADMM algorithm.…”
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Distributed Optimization of Multiagent Systems in Directed Networks with Time-Varying Delay by Junxiu Yan, Hui Yu

“…A continuous-time distributed optimization algorithm is proposed. Different from most ways of solving distributed optimization problem, the Lyapunov-Razumikhin theorem is applied to the convergence analysis instead of the Lyapunov-Krasovskii functionals with LMI conditions. …”
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An Alternative HSS Preconditioner for the Unsteady Incompressible Navier-Stokes Equations in Rotation Form by Jia Liu

“…Numerical experiments show the robustness of the preconditioned iterative methods with respect to the mesh size, Reynolds numbers, time step, and algorithm parameters. The preconditioner is efficient and easy to apply for the unsteady Oseen problems in rotation form.…”
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Total Least Squares Method for Robust Source Localization in Sensor Networks Using TDOA Measurements by Yang Weng, Wendong Xiao, Lihua Xie

“…A total least squares (TLSs) algorithm is developed by a linear closed-form solution for this problem, and the uncertainty of the sensor location is formulated as a perturbation. …”
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Nonlinear elliptic problems with the method of finite volumes by Sanjay Kumar Khattri

“…The discretization results in a nonlinear algebraic system of equations. A Newton-Krylov algorithm is also presented for solving the system of nonlinear algebraic equations. …”
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Communication P Systems on Simplicial Complexes with Applications in Cluster Analysis by Xiyu Liu, Alice Xue

“…Examples are given to show the effect of the algorithm. The new P systems provide an alternative for traditional membrane computing.…”
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Second-Order Multiplier Iteration Based on a Class of Nonlinear Lagrangians by Yong-Hong Ren

“…Nonlinear Lagrangian algorithm plays an important role in solving constrained optimization problems. …”
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On Mann’s Type Method for Nonexpansive and Strongly Quasinonexpansive Mappings in Hilbert Spaces by Nawab Hussain, Giuseppe Marino, Badriah A. S. Alamri

“…We show that these solutions are fixed points of a nonexpansive mapping and/or a strongly quasinonexpansive mapping, depending on the coefficients involved in the algorithm.…”
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Reproducing Kernel Method for Solving Nonlinear Fractional Fredholm Integrodifferential Equation by Bothayna S. H. Kashkari, Muhammed I. Syam

“…Numerical results demonstrate the accuracy of the present algorithm. In addition, we prove the existence of the solution of the nonlinear fractional Fredholm integrodifferential equation. …”
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Modules for Pipelined Mixed Radix FFT Processors by Anatolij Sergiyenko, Anastasia Serhienko

“…The cores are designed by the method of spatial SDF mapping into the hardware, which provides the minimized hardware volume at the cost of slowdown of the algorithm by r times. Their clock frequency is equal to the data sampling frequency. …”
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Generalized Perron complements in diagonally dominant matrices by Qin Zhong, Na Li

“…Lu in 2002, and it was used to construct an algorithm for estimating the boundary of the spectral radius. …”
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A Frame-Based Conjugate Gradients Direct Search Method with Radial Basis Function Interpolation Model by Xiaowei Fang, Qin Ni

“…In this paper, we propose a new hybrid direct search method where a frame-based PRP conjugate gradients direct search algorithm is combined with radial basis function interpolation model. …”
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Fault Diagnosis for Gearbox Based on Improved Empirical Mode Decomposition by Ling Zhao, Darong Huang, Yi Qin

“…Based on using EMD, an improved algorithm of orthogonal empirical mode decomposition (OEMD) is put forward and is applied to extract the fault feature. …”
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The Proposed Modified Liu System with Fractional Order by Alireza K. Golmankhaneh, Roohiyeh Arefi, Dumitru Baleanu

“…Generalized Adams-Bashforth algorithm has been used for investigating in stability of fixed points and existence of chaos.…”
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A Projection-Type Method for Multivalued Variational Inequality by Changjie Fang, Shenglan Chen, Jiming Zheng

“…The iteration sequence generated by the algorithm is proven to be globally convergent to a solution, provided that the multivalued mapping is continuous with nonempty compact convex values. …”
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A Conservation Difference Scheme of Generalized Boussinesq Equation by Xiaoli Jiang, Xiaofeng Wang

“…We focus on the algorithm research of a class of six-order generalized Boussinesq equation. …”
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THEORETICAL BASES OF MANAGEMENT OF INNOVATIVE DEVELOPMENT OF THE ENTERPRISE OF MECHANICAL ENGINEERING by L. Mikhailova, A. Sazonov, V. Kolosova

“…Economic efficiency of innovative activity directly depends on nature of their formation and distribution. The algorithm of formation and distribution of the budgetary and extrabudgetary financial resources of the enterprise of mechanical engineering in the course of implementation of the innovative program is considered.…”
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