Results 31 to 40 of about 24,096 (281)
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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On Local Relaxation Methods and Their Application to Convection-Diffusion Equations [PDF]
, 1981 This paper discusses local relaxation (LR) methods which can be regarded as generalizations of the successive overrelaxation (SOR) method. The difference is that within an LR method the relaxation factor is allowed to vary from equation to equation.
Veldman, Arthur E.P., +3 more
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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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Iterative methods for the force-based quasicontinuum approximation : analysis of a 1D model problem [PDF]
, 2011 Force-based atomistic-continuum hybrid methods are the only known pointwise consistent methods for coupling a general atomistic model to a finite-element continuum model.
Luskin, Mitchell Barry +7 more
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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 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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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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Вестник Дагестанского государственного технического университета: Технические науки, 2023 Objective. The purpose of this study was to create new pre-fabricated membrane-rod structures and non-linear methods for their calculation.Method. A stepwise method with an iterative numerical Euler-Cauchy procedure of the third order of accuracy was ...
A. Yu. Kim, S. V. Polnikov, M. F. Amoyan
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Fast iterative solvers for PDE-constrained optimization problems
, 2013 In this thesis, we develop preconditioned iterative methods for the solution of matrix systems arising from PDE-constrained optimization problems. In order to do this, we exploit saddle point theory, as this is the form of the matrix systems we wish to ...
Pearson, John W
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