XAMG: A library for solving linear systems with multiple right-hand side vectors
SoftwareX, 2021 This paper presents the XAMG library for solving large sparse systems of linear algebraic equations with multiple right-hand side vectors. The library specializes, but is not limited, to the solution of linear systems obtained from the discretization of ...
Boris Krasnopolsky, Alexey Medvedev
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Variational iterative method: an appropriate numerical scheme for solving system of linear Volterra fuzzy integro-differential equations [PDF]
Advances in Difference Equations, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Narayanamoorthy, S. Mathankumar
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Alexandria Engineering Journal, 2021 This paper contributes to develop a highly accurate numerical method for solving two-dimensional mass transfer equations during convective air drying of apple slices.
Yin Yang +4 more
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Iterative solution of shifted positive-definite linear systems arising in a numerical method for the heat equation based on Laplace transformation and quadrature [PDF]
ANZIAM Journal, 2011 AbstractIn earlier work we have studied a method for discretization in time of a parabolic problem, which consists of representing the exact solution as an integral in the complex plane and then applying a quadrature formula to this integral. In application to a spatially semidiscrete finite-element version of the parabolic problem, at each quadrature ...
Mclean, William, Thomée, Vidar
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Linear stationary iterative methods for the force-based quasicontinuum approximation [PDF]
, 2012 Force-based multiphysics coupling methods have become popular since they provide a simple and efficient coupling mechanism, avoiding the difficulties in formulating and implementing a consistent coupling energy.
Luskin, Mitchell Barry +1 more
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Playing with nonuniform grids [PDF]
, 1992 Numerical experiments with discretization methods on nonuniform grids are presented for the convection-diffusion equation. These show that the accuracy of the discrete solution is not very well predicted by the local truncation error.
Rinzema, K., +5 more
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A convergence analysis of SOR iterative methods for linear systems with weak H-matrices
Open Mathematics, 2016 It is well known that SOR iterative methods are convergent for linear systems, whose coefficient matrices are strictly or irreducibly diagonally dominant matrices and strong H-matrices (whose comparison matrices are nonsingular M-matrices).
Zhang Cheng-yi +2 more
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Journal of Computational and Applied Mathematics, 2015 The paper studies the convergence of some parallel multisplitting block iterative methods for the solution of linear systems arising in the numerical solution of Euler equations. Some sufficient conditions for convergence are proposed. As special cases the convergence of the parallel block generalized AOR (BGAOR), the parallel block AOR (BAOR), the ...
Cheng-Yi Zhang +2 more
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Comments on new iterative methods for solving linear systems
上海师范大学学报. 自然科学版, 2017 Some new iterative methods were presented by Du, Zheng and Wang for solving linear systems in [3], where it is shown that the new methods, comparing to the classical Jacobi or Gauss-Seidel method, can be applied to more systems and have faster ...
Wang Ke, Tan Lijun, Wang Shiheng
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Fast interior point solution of quadratic programming problems arising from PDE-constrained optimization [PDF]
, 2017 Interior point methods provide an attractive class of approaches for solving linear, quadratic and nonlinear programming problems, due to their excellent efficiency and wide applicability.
Gondzio, Jacek +4 more
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