Journal ArticleDOI
The block alternating group explicit method (blage) for the solution of elliptic difference equations
David J. Evans,W.S. Yousif +1 more
Reads0
Chats0
TLDR
In this paper, the point A.G.E. method is extended to obtain the solution of block tridiagonal linear systems derived from the discretisation of multidimensional elliptic boundary value problems.Abstract:
In this paper, the point A.G.E. method is extended to obtain the solution of block tridiagonal linear systems derived from the discretisation of multidimensional elliptic boundary value problems. The numerical results obtained agree with the theoretical results presented earlier.read more
Citations
More filters
Journal ArticleDOI
A parallel algorithm for solving block tridiagonal linear systems
TL;DR: A new form of the arithmetic mean method for solving large block tridiagonal linear systems with coefficient matrices that are symmetric positive definite or positive real or irreducible L-matrices with a strong diagonal dominance is considered.
Journal ArticleDOI
Preconditioned techniques for solving large sparse linear systems arising from the discretization of the elliptic partial differential equations
TL;DR: The BiCG, BiCGSTAB methods are used as preconditioned techniques for solving linear systems arising from a class of fourth-order approximations for solving the elliptic partial differential equation.
Journal ArticleDOI
A new parallel iterative algorithm for solving 2D poisson equation
Qiuyan Xu,Wenqia Wang +1 more
TL;DR: In this article, a finite difference parallel iterative (FDPI) algorithm for solving 2D Poisson equation was presented and it was demonstrated that the presented algorithm has smaller number of iterations, shorter computational time, and faster convergence rate.
Journal ArticleDOI
Block iterative methods for the nine-point approximation to the convection-diffusion equation
Muddun Bhuruth,David J. Evans +1 more
TL;DR: The block successive overrelaxation and the block alternating group explicit (BLAGE) iterative methods are considered for solving the sparse unsymmetric linear system and it is shown that the line|ar system can be effectively solved by the block Gauss-Seidel method.
Journal ArticleDOI
An analytical method as a preconditioning modeling for systems of linear equations
TL;DR: Computational comparisons of the standard methods against preconditioned methods based on experiments are presented which illustrate the merits of the simplicity, power, and effectiveness of the proposed algorithm.
References
More filters
Journal ArticleDOI
The Numerical Solution of Parabolic and Elliptic Differential Equations
D. W. Peaceman,H. H. Rachford +1 more
Book
Iterative Solution of Large Linear Systems
TL;DR: The ASM preconditioner B is characterized by three parameters: C0, ρ(E) , and ω , which enter via assumptions on the subspaces Vi and the bilinear forms ai(·, ·) (the approximate local problems).
Journal ArticleDOI
Group explicit iterative methods for solving large linear systems
TL;DR: In this article, the Alternating Group Explicit (AGE) method is applied to derive the solution of a 2-point boundary value problem and the analysis clearly shows the method to be analogous to the A.I.D. method.