Block alternating group explicit preconditioning (blage) for a class of fourth order difference schemes

We consider the block alternating group explicit method (BLAGE) as a preconditioner for a class of unsymmetric linear systems arising from fourth order finite difference schemes. An advantage of the preconditioner proposed is that the preconditioning operations can be divided into several subproblem...

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Bibliographic Details
Published in:International journal of computer mathematics 1997-01, Vol.63 (1-2), p.121-136
Main Authors: Bhuruth, M., Evans, D.J.
Format: Article
Language:English
Subjects:
block alternating group explicit method
Exact sciences and technology
fourth order discretisations
G 1.3
G 1.7
Krylov subspace methods
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Ordinary differential equations
preconditioning
Sciences and techniques of general use
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Summary:We consider the block alternating group explicit method (BLAGE) as a preconditioner for a class of unsymmetric linear systems arising from fourth order finite difference schemes. An advantage of the preconditioner proposed is that the preconditioning operations can be divided into several subproblems which can then be run in parallel. The BLAGE preconditioner is shown to be extremely effective in achieving optimal convergence rates for the class of unsymmetric fourth order difference schemes considered in this paper
ISSN:0020-7160
1029-0265
DOI:10.1080/00207169708804555