Results 11 to 20 of about 306,480 (186)
Iterative solution of shifted positive-definite linear systems arising in a numerical method for the heat equation based on Laplace transformation and quadrature [PDF]
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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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]
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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A comparison of numerical splitting-based methods for Markovian dependability and performability models [PDF]
Iterative numerical methods are an important ingredient for the solution of continuous time Markov dependability models of fault-tolerant systems. In this paper we make a numerical comparison of several splitting-based iterative methods. We consider the
Carrasco, Juan A., Suñé, Víctor
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Preconditioned fully implicit PDE solvers for monument conservation [PDF]
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
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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Two Iterative Methods for Solving Linear Interval Systems
Conjugate gradient is an iterative method that solves a linear system Ax=b, where A is a positive definite matrix. We present this new iterative method for solving linear interval systems Ãx̃=b̃, where à is a diagonally dominant interval matrix, as ...
Esmaeil Siahlooei +1 more
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Preconditioning and convergence in the right norm [PDF]
The convergence of numerical approximations to the solutions of differential equations is a key aspect of Numerical Analysis and Scientific Computing.
Wathen, A. J.
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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 ...
Zhang, Cheng-yi +2 more
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Self-stabilizing Numerical Iterative Computation [PDF]
Many challenging tasks in sensor networks, including sensor calibration, ranking of nodes, monitoring, event region detection, collaborative filtering, collaborative signal processing, {\em etc.}, can be formulated as a problem of solving a linear system
D.P. Bertsekas +6 more
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