Results 31 to 40 of about 434,100 (202)
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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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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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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Preconditioned Low-rank Riemannian Optimization for Linear Systems with Tensor Product Structure [PDF]
SIAM Journal on Scientific Computing, 2015 The numerical solution of partial differential equations on high-dimensional domains gives rise to computationally challenging linear systems. When using standard discretization techniques, the size of the linear system grows exponentially with the ...
D. Kressner +2 more
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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
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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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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
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Towards Time-Limited $\mathcal H_2$-Optimal Model Order Reduction [PDF]
, 2017 In order to solve partial differential equations numerically and accurately, a high order spatial discretization is usually needed. Model order reduction (MOR) techniques are often used to reduce the order of spatially-discretized systems and hence ...
Goyal, Pawan, Redmann, Martin
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