Results 21 to 30 of about 14,331 (187)
Evaluating the Impact of SDC on the GMRES Iterative Solver [PDF]
, 2013 Increasing parallelism and transistor density, along with increasingly tighter energy and peak power constraints, may force exposure of occasionally incorrect computation or storage to application codes.
Elliott, James +2 more
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Low-rank Linear Fluid-structure Interaction Discretizations [PDF]
, 2020 Fluid-structure interaction models involve parameters that describe the solid and the fluid behavior. In simulations, there often is a need to vary these parameters to examine the behavior of a fluid-structure interaction model for different solids and ...
Benner, Peter +2 more
core +2 more sources
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
doaj +1 more source
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
doaj +1 more source
A framework for deflated and augmented Krylov subspace methods [PDF]
, 2013 We consider deflation and augmentation techniques for accelerating the convergence of Krylov subspace methods for the solution of nonsingular linear algebraic systems.
André Gaul +4 more
core +3 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Augmented GMRES‐type methods [PDF]
Numerical Linear Algebra with Applications, 2007 AbstractGMRES is a popular iterative method for the solution of large linear systems of equations with a square non‐symmetric matrix. The method generates a Krylov subspace in which an approximate solution is determined. We present modifications of the GMRES and the closely related RRGMRES methods that allow augmentation of the Krylov subspaces ...
Baglama, James, Reichel, Lothar
openaire +2 more sources