Results 21 to 30 of about 1,981 (210)
A Simpler GMRES Method for Oscillatory Integrals with Irregular Oscillations
Advances in Mathematical Physics, 2015 A simpler GMRES method for computing oscillatory integral is presented. Theoretical analysis shows that this method is mathematically equivalent to the GMRES method proposed by Olver (2009).
Qinghua Wu, Meiying Xiang
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Linear Algebra and its Applications, 2003 In their introduction, the authors state, ``We study an oddity: the class of problems for which the generalized minimal residual (GMRES) algorithm, when started with the initial guess \(x^{(0)}=0\) and using exact arithmetic, computes \(m\) iterates \(x^{(1)}=\cdots=x^{(m)}=0\) without making any progress at all.
Zavorin, Ilya +2 more
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Cogent Engineering, 2020 This article considered the numerical simulation of multicomponent multiphase flow in porous media. The resulting system of nonlinear equations linearized by the Newton-Raphson method and solved with the iterative Generalized minimal residual method ...
Saltanbek T. Mukhambetzhanov +5 more
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DAPHNE-3D: A NEW TRANSPORT SOLVER FOR UNSTRUCTURED TETRAHEDRAL MESHES [PDF]
EPJ Web of Conferences, 2021 A new Discrete Ordinates transport solver for unstructured tetrahedral meshes is presented. The solver uses the Discontinuous Galërkin Finite Element Method with linear or quadratic expansion of the flux within each cell.
Diamantopoulou Evangelia +1 more
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Optimizing Distributed GMRES Algorithm with Mixed Precision [PDF]
Jisuanji kexueThe generalized minimum residual(GMRES) method is an iterative method for solving sparse linear systems.It is broadly used in many areas like scientific and engineering computing.The exponential data growth makes the scale of problems solved by the GMRES
GUO Shuaizhe, GAO Jianhua, JI Weixing
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Deflated GMRES with multigrid for lattice QCD
Physics Letters B, 2020 Lattice QCD solvers encounter critical slowing down for fine lattice spacings and small quark mass. Traditional matrix eigenvalue deflation is one approach to mitigating this problem.
Travis Whyte +2 more
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A relaxed block splitting preconditioner for complex symmetric indefinite linear systems
Open Mathematics, 2018 In this paper, we propose a relaxed block splitting preconditioner for a class of complex symmetric indefinite linear systems to accelerate the convergence rate of the Krylov subspace iteration method and the relaxed preconditioner is much closer to the ...
Huang Yunying, Chen Guoliang
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Seleção Dinâmica da Dimensão do Subespaço de Krylov no Método GMRES(m) e suas Variantes
Trends in Computational and Applied Mathematics, 2006 Nesse trabalho apresentamos alguns algoritmos adaptativos do Método do Resíduo Mínimo Generalizado (GMRES) [10], um método iterativo para resolver sistemas de equações lineares com matrizes não simétricas e esparsas, o qual baseiase nos métodos de ...
T.T. Gonçalez, R.D. da Cunha
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Advances in Electrical and Electronic Engineering, 2014 The paper deals with the solution of large non-symmetric two-by-two block linear systems with a singular leading submatrix. Our algorithm consists of two levels.
Radek Kucera +4 more
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Theoretical and numerical comparisons of GMRES and WZ-GMRES
Computers & Mathematics with Applications, 2004 The authors study the numerical stability of the WZ-GMRES method proposed by \textit{H. F. Walker} and \textit{L. Zhou} [Numer. Linear Algebra Appl. 1, No. 6, 571--581 (1994; Zbl 0838.65030)] and compare the stability of the WZ-GMRES method with that of the GMRES method for solving systems of linear equations \(Ax = b\) with a non-symmetric matrix \(A\)
Chen, G. Z., Jia, Z. X.
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