Results 251 to 260 of about 1,620,962 (292)

The Group Explicit method for the solution of Burger's equation

Computing, 1984
The aim of this paper is to extend the application of the Group Explicit method [1, 2] to the numerical solution of a non-linear parabolic partial differential equation of second order. The method was tested out on Burger's equation for various initial and boundary conditions. It can be seen that the method is accurate and comparable to existing finite
Evans, D. J., Abdullah, A. R.
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The Alternating Group Explicit (AGE) method on a transputer network

Parallel Computing, 1991
The AGE method and its implementation on a transputer network are discussed. Performance results are presented.
Evans, D. J., Chikohora, S.
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Parallel group explicit method for two-dimensional parabolic equations

Parallel Computing, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kadalbajoo, Mohan K., Appaji Rao, A.
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A weighted group explicit method for the diffusion equation

Computer Methods in Applied Mechanics and Engineering, 1986
New explicit methods for the finite difference solution of the diffusion equation are derived. The new methods used stable asymmetric approximations to the partial differential equation which, when coupled in groups of two adjacent points on the grid, result in implicit equations which can be easily converted to explicit form and which offer many ...
Abdullah, A. Rahman bin, Evans, D. J.
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EXPLICIT DE-COUPLED GROUP ITERATIVE METHODS AND THEIR PARALLEL IMPLEMENTATIONS

Parallel Algorithms and Applications, 1995
In this paper we extend the 4-point explicit de-coupled group (EDG) iterative method, Abdullah (1991), to the 6 and 9-poinl EDG methods for the solution of elliptic partial differential equations. We will show graphically the technique of implementing the new grouping.
W. S. YOUSIF, D. J. EVANS
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Mixed Parallelism for Single Alternating Group Explicit Method

1991
The paper deals with parallel implementation policies for D.J. Evans S_AGE (Single Alternating Group Explicit) unconditionally stable methods concerning the solution of parabolic problems in two space dimensions.
M. Carmignani, A. Genco, G. Pecorella
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Modified explicit higher-order perturbation method with two energy groups

Annals of Nuclear Energy, 1999
The Explicit High-Order Perturbation method is among various perturbation methods and its main feature is to expand neutron flux of a perturbed system in a series of the λ-mode eigenfunctions in an unperturbed system. Although various perturbation methods using λ-mode eigenfunctions have been proposed in the past, it was difficult to calculate ...
Cheol Ho Pyeon, Yoshihiro Yamane, Tsuyoshi Misawa, Seiji Shiroya   +3 more
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A new parallel Gauss–Seidel method based on alternating group explicit method and domain decomposition method

Applied Mathematics and Computation, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tavakoli, Rohallah, Davami, Parviz
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The Alternating Group Explicit (AGE) method for singularly perturbed boundary value problems

Applied Mathematics and Computation, 1995
The paper presents a computational method for the solution of singularly perturbed boundary value problems, designed on the basis of the alternating group explicit (AGE) method. The AGE scheme, which is analogous to the alternate direction implicit method and was earlier developed for solving two-point boundary value problems, employs the fractional ...
Kadalbajoo, Mohan K., Rao, A. Appaji
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Group explicit iterative methods for solving large linear systems

International Journal of Computer Mathematics, 1985
In this paper, the Alternating Group Explicit (AGE) method is developed and applied to derive the solution of a 2 point boundary value problem. The analysis clearly shows the method to be analogous to the A.D.I. method. The extension of the method to ultidimensional problems and techniques for improving the convergence rate and attaining higher order ...
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