Results 241 to 250 of about 1,620,962 (292)

Alternating group explicit (AGE) iterative methods

International Journal of Computer Mathematics, 1986
In this paper the Alternating Group Explicit (AGE) methods, modified analogues of the classical Alternating Direction Implicit (ADI) methods, are introduced. Their explicit nature and their obvious parallelism, in contrast with the inherent parallelism of the ADI methods, makes them most suitable for the solution of the resulting linear systems arising
D. J. Evans, A. Hadjidimos
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Group explicit complete method vs. standard explicit method on mimd parallel systems

International Journal of Computer Mathematics, 1992
The explicit methods although very suitable for parallel processing always deny us reasonable accuracy and some stability; on the other hand, the implicit schemes offer stability, but the exploitation of these methods for parallel processing may be difficult and possibly inefficient.
D. J. Evans, M. P. Bekakos
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The smart alternating group explicit (smage) method

International Journal of Computer Mathematics, 1997
In this paper a more efficient form of the Alternating Group Explicit (AGE) method [1] for the numerical solution of tridiagonal linear systems derived from the discretisation of nonlinear 2nd order differential equations with 2 point boundary conditions is derived. Numerical results are presented which confirm the conclusions.
D. J. Evans, A. R. Ahmad
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The spline alternating group explicit (splage) method

International Journal of Computer Mathematics, 1997
In this paper the AGE iterative method is applied to the set of linear 3 term recurrence equations derived from the cubic spline approximations to the one dimensional diffusion equation. Convergence and stability for the method is proved and the derivation and existence of the optimal acceleration parameters for the stationary and nonstationary forms ...
D. J. Evans, N. I. Kadhum
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The normalised alternating group explicit (nage) method

International Journal of Computer Mathematics, 1990
The alternating group explicit (AGE) method [1] has been applied to a variety of problems involving parabolic, hyperbolic and elliptic partial differential equations. The method has been shown to be extremely powerful and flexible and to be very suitable for use on vector and parallel computers.
D.J. Evans, C. Li
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High order difference group explicit (HODGE) methods

Communications in Applied Numerical Methods, 1986
AbstractPoint iterative methods at which, at any one time, only a single equation of the linear system is treated are well known. However, in recent times block (or line) iterative methods, in which a group of equations (or points on the grid mesh) are treated implicity and solved directly by a specialized algorithm, have become the standard techniques
Yousif, W. S., Evans, D. J.
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Explicit group versus implicit line iterative methods

International Journal of Computer Mathematics, 1984
In this paper, a new explicit 4 point and 9 point block overrelaxation scheme for the numerical solution of the sparse linear systems derived from the discretisation of self-adjoint elliptic partial differential equations by finite difference/element techniques. A comparison with the implicit 1-line and 2‐line block S.O.R. schemes for the model problem
D. J. Evans, R. S. Haghighi
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The numerov alternating group explicit (numage) method:

International Journal of Computer Mathematics, 1998
In this paper, more accurate solutions are obtained by applying the Numerov formula to the Alternating Group Explicit (AGE) method in the solution of linear and non-linear two point boundary value problems.
D. J. Evans, A. R. Ahmad
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THE COUPLED REDUCED ALTERNATING GROUP EXPLICIT (CRAGE) METHOD∗

Parallel Algorithms and Applications, 1994
In this paper, the finite difference method is applied to the 2 point nonlinear boundary value problem derived from a 2nd order nonlinear ordinary differential equation and the resulting matrix system solved by the coupled reduced alternating group explicit (CRAGE) method (Evans, 1985, 1990) on a parallel computer.
D. J. EVANS, PRAGYA JAIN
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Alternating group explicit method for the dispersive equation

International Journal of Computer Mathematics, 2000
Here the strategy of the group explicit method is applied to the numerical solution of a linear dispersive equation. An alternating group explicit method (AGE) for the equation with the periodic boundary condition is derived. The stability of the method is discussed.
Shaohong Zhu, Guangwei Yuan, Longjun Shen   +2 more
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