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Journal of Computational and Applied Mathematics, 2015 The paper studies the convergence of some parallel multisplitting block iterative methods for the solution of linear systems arising in the numerical solution of Euler equations. Some sufficient conditions for convergence are proposed. As special cases the convergence of the parallel block generalized AOR (BGAOR), the parallel block AOR (BAOR), the ...
Zhang, Cheng-yi +2 more
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Comments on new iterative methods for solving linear systems
上海师范大学学报. 自然科学版, 2017 Some new iterative methods were presented by Du, Zheng and Wang for solving linear systems in [3], where it is shown that the new methods, comparing to the classical Jacobi or Gauss-Seidel method, can be applied to more systems and have faster ...
Wang Ke, Tan Lijun, Wang Shiheng
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New SOR-like methods for solving the Sylvester equation
Open Mathematics, 2014 We present new iterative methods for solving the Sylvester equation belonging to the class of SOR-like methods, based on the SOR (Successive Over-Relaxation) method for solving linear systems.
Kierzkowski Jakub
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On the application of Liao’s method for solving linear systems
Ain Shams Engineering Journal, 2013 In this paper, an analytical attitude is proposed for solving linear systems by Homotopy Analysis Method (HAM). On the basis of HAM we design new iterative methods. The convergence properties of the proposed method have been analyzed.
H. Saberi Najafi, S.A. Edalatpanah
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, 2020 The following document presents a possible solution and a brief stability analysis for a nonlinear system, which is obtained by studying the possibility of building a hybrid solar receiver; It is necessary to mention that the solution of the ...
Brambila-Paz, F. +4 more
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Self-stabilizing Numerical Iterative Computation [PDF]
, 2008 Many challenging tasks in sensor networks, including sensor calibration, ranking of nodes, monitoring, event region detection, collaborative filtering, collaborative signal processing, {\em etc.}, can be formulated as a problem of solving a linear system
D.P. Bertsekas +6 more
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A Modified SSOR Preconditioning Strategy for Helmholtz Equations
Journal of Applied Mathematics, 2012 The finite difference method discretization of Helmholtz equations usually leads to the large spare linear systems. Since the coefficient matrix is frequently indefinite, it is difficult to solve iteratively.
Shi-Liang Wu, Cui-Xia Li
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Numerical Simulation of One-Phase Flow to Multi-Stage Hydraulically Fractured Horizontal Well [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2016 This paper presents a method of numerical simulation of one-phase flow near multi-stage fractured horizontal well in oil reservoir. Differential models for flows within reservoir and within fractures are formulated separately on the basis of Darcy's law.
M.R. Khamidullin
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A preconditioned AOR iterative scheme for systems of linear equations with L-matrics
Open Mathematics, 2019 In this paper we investigate theoretically and numerically the new preconditioned method to accelerate over-relaxation (AOR) and succesive over-relaxation (SOR) schemes, which are used to the large sparse linear systems.
Wang Hongjuan
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Applied Sciences, 2021 Although many families of integration methods have been successfully developed with desired numerical properties, such as second order accuracy, unconditional stability and numerical dissipation, they are generally implicit methods.
Veerarajan Selvakumar, Shuenn-Yih Chang
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