Results 11 to 20 of about 296,284 (267)
Variational iterative method: an appropriate numerical scheme for solving system of linear Volterra fuzzy integro-differential equations [PDF]
Advances in Difference Equations, 2018 Abstract In this research article, we focus on the system of linear Volterra fuzzy integro-differential equations and we propose a numerical scheme using the variational iteration method (VIM) to get a successive approximation under uncertainty aspects. We have 1 Uj(t)=f(t)+∫atk(t,x)u(x)dx, $$ {U}^{{j}} ( {t} ) ={f} ( {t} ) + \int_{a}^{t} {k} ( {t},{x}
Samayan Narayanamoorthy, S. Mathankumar
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Journal of Computational and Applied Mathematics, 2014 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 ...
Chengyi Zhang, Shuanghua Luo, Zongben Xu
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Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations [PDF]
Numerische Mathematik, 1991 The authors discuss certain block matrices that are natural block- generalizations of \(Z\)-matrices and \(M\)-matrices and arise in the numerical solution of Euler equations in the area of computational fluid mechanics. They investigate the properties of such matrices and, in particular, give a proof for the convergence of block iterative methods for ...
L. Elsner, Volker Mehrmann
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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, 2012 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 ...
William McLean, Vidar Thomée
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Journal of Advanced Simulation in Science and Engineering, 2016 Taku Itoh +3 more
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A numerical evaluation of preprocessing and ILU-type preconditioners for the solution of unsymmetric sparse linear systems using iterative methods [PDF]
ACM Transactions on Mathematical Software, 2009 Recent advances in multilevel LU factorizations and novel preprocessing techniques have led to an extremely large number of possibilities for preconditioning sparse, unsymmetric linear systems for solving with iterative methods. However, not all combinations work well for all systems, so making the right choices is essential for obtaining an efficient ...
Jan Mayer
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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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Quantization in Control Systems and Forward Error Analysis of Iterative Numerical Algorithms [PDF]
, 2010 The use of control theory to study iterative algorithms, which can be considered as dynamical systems, opens many opportunities to find new tools for analysis of algorithms.
Constantinides, GA +2 more
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Preconditioned fully implicit PDE solvers for monument conservation [PDF]
, 2010 Mathematical models for the description, in a quantitative way, of the damages induced on the monuments by the action of specific pollutants are often systems of nonlinear, possibly degenerate, parabolic equations. Although some the asymptotic properties
Berger A. E. +3 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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