Results 21 to 30 of about 306,480 (186)
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
, 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
core +1 more source
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
doaj
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
doaj +1 more source
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
doaj +1 more source
Convergence on Gauss-Seidel iterative methods for linear systems with general H-matrices
, 2014 It is well known that as a famous type of iterative methods in numerical linear algebra, Gauss-Seidel iterative methods are convergent for linear systems with strictly or irreducibly diagonally dominant matrices, invertible $H-$matrices (generalized ...
Luo, Shuanghua +3 more
core +1 more source
Probabilistic Linear Solvers: A Unifying View
, 2018 Several recent works have developed a new, probabilistic interpretation for numerical algorithms solving linear systems in which the solution is inferred in a Bayesian framework, either directly or by inferring the unknown action of the matrix inverse ...
Bartels, Simon +3 more
core +1 more source