Results 181 to 190 of about 124,085 (242)

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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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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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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