Alternating group explicit (AGE) iterative methods
David John Evans, APOSTOLOS HADJIDIMOS · 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 from the discretisation of a class of elliptic PDEs on a Parallel Computer of SIMD (Single Instruction Stream-Multiple Data Stream) type. The determination of optimum sets of acceleration parameters in 2-dimensional problems is discussed and numerical experiments are successfully completed.