Alternating group explicit (AGE) iterative methods

DOI10.1080/00207168608803524zbMath0654.65031OpenAlexW2156994715MaRDI QIDQ3800981

Apostolos Hadjidimos, David J. Evans

Publication date: 1986

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207168608803524

zbMATH Keywords

numerical experimentsPoisson equationalternating direction implicit methodsparallel computerSIMDalternating group explicit methods4\(\times 4\) blockssingle instruction stream-multiple data stream

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (4)

A new positivity‐preserving domain decomposition method for the 2‐D diffusion equation ⋮ On the solution of Poisson equation by alternating group explicit iterative method ⋮ On the numerical solution of Helmholtz equation by alternating group explicit (AGE) methods ⋮ Block alternating group explicit preconditioning (blage) for a class of fourth order difference schemes

Cites Work

• The Numerical Solution of Parabolic and Elliptic Differential Equations
• On the Numerical Integration of $\frac{\partial ^2 u}{\partial x^2 } + \frac{\partial ^2 u}{\partial y^2 } = \frac{\partial u}{\partial t}$ by Implicit Methods
• On Weakly Positive Matrices
• The solution of elliptic partial differential equations by a new block over-relaxation technique
• Some Computer Organizations and Their Effectiveness
• Extended Application of Alternating Direction Implicit Iteration Model Problem Theory
• An Efficient Parallel Algorithm for the Solution of a Tridiagonal Linear System of Equations
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