Results 211 to 220 of about 124,085 (242)
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ON TWO PARAMETER ALTERNATING GROUP EXPLICIT (TAGE) METHOD FOR SINGULAR PERTURBATION PROBLEMS
Parallel Algorithms and Applications, 1996The application of the TAGE method to variable coefficients singularly perturbed elliptic two point boundary value problem of convection-diffusion type is studied. The derivatives are approximated both by compact fourth order differences and central differences. Numerical experiments are carried out. The solutions obtained using fourth order scheme are
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The block alternating group explicit method (blage) to solve 2D-elliptic differential equations
International Journal of Computer Mathematics, 1997In this paper, we present the Block Alternating Group Explicit Method (BLAGE) to solve the block tridiagonal linear system of equations derived from the discretisation of 2D-elliptic boundary value problems. The convergence of the method is proved and the case for optimum acceleration parameters is also studied.
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The single term alternating group explicit (stage) methods for solving periodic parabolic problems
International Journal of Computer Mathematics, 1990In 1983. Evans and Abdullah presented a new method, i.e. group explicit for the finite difference solution of a parabolic partial differential equation with Dirichlet boundary conditions. In this paper, we extend this group explicit strategy to a similar problem with periodic boundary conditions The stability of the method is discussed and the results ...
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International Journal of Computer Mathematics, 2008
In this paper, the alternating group explicit (AGE) iterative method is applied to a nonlinear fourth-order PDE describing the flow of an incompressible fluid. This equation is a Ladyzhenskaya equation. The AGE method is shown to be extremely powerful and flexible and affords its users many advantages.
F. Fairag, M. S. Sahimi
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In this paper, the alternating group explicit (AGE) iterative method is applied to a nonlinear fourth-order PDE describing the flow of an incompressible fluid. This equation is a Ladyzhenskaya equation. The AGE method is shown to be extremely powerful and flexible and affords its users many advantages.
F. Fairag, M. S. Sahimi
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International Journal of Computer Mathematics, 2003
In this paper, a fourth-order method based on cubic spline approximations is presented for the numerical solution of non-linear singular two point boundary value problems. The AGE and Newton-AGE iteration methods which are suitable both on sequential and parallel computers are discussed both for linear and nonlinear singular problems.
R. K. Mohanty, D. J. Evans
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In this paper, a fourth-order method based on cubic spline approximations is presented for the numerical solution of non-linear singular two point boundary value problems. The AGE and Newton-AGE iteration methods which are suitable both on sequential and parallel computers are discussed both for linear and nonlinear singular problems.
R. K. Mohanty, D. J. Evans
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Numerical Analysis and Applications, 2015
Summary: We discuss a new coupled reduced alternating group explicit (CRAGE) and Newton-CRAGE iteration methods to solve the nonlinear singular two-point boundary value problems \(u''= f(r, u, u ...
Mohanty, R. K., Talwar, Jyoti
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Summary: We discuss a new coupled reduced alternating group explicit (CRAGE) and Newton-CRAGE iteration methods to solve the nonlinear singular two-point boundary value problems \(u''= f(r, u, u ...
Mohanty, R. K., Talwar, Jyoti
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Systolic array for the fast age (alternating group explicit) method for parabolic equations (safage)
International Journal of Computer Mathematics, 2000In this paper a simpler and more area efficient design for the solution of parabolic equations by systolic array computation is presented. The design is an improvement on previous designs as it reduces the control and computation cycle time of the basic cells by using certain simplifications of the AGE scheme.
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International Journal of Computer Mathematics, 1990
In this paper, parabolic differential equations with periodic boundary conditions in one space dimension (on a cylinder) are solved numerically by using the Alternating Group Explicit (AGE) iterative method [1]. It is shown that the two sweeps of the AGE algorithm can be combined into one, thus forming a stable explicit algorithm with reduced ...
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In this paper, parabolic differential equations with periodic boundary conditions in one space dimension (on a cylinder) are solved numerically by using the Alternating Group Explicit (AGE) iterative method [1]. It is shown that the two sweeps of the AGE algorithm can be combined into one, thus forming a stable explicit algorithm with reduced ...
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Cancer statistics for African American/Black People 2022
Ca-A Cancer Journal for Clinicians, 2022Angela Giaquinto +2 more
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