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Foil 12 Preconditioning in the Artificial Time Approach to Iteration Methods

From Spatial Differencing and ADI Solution of the NAS Benchmarks CPSP713 Case studies in Computational Science -- Spring Semester 1996. by Geoffrey C. Fox
1 We can generalize the simple equations
2 To the form
3 with arbitary matrix P
4 As the left hand side vanishs in equilibrium
5 This can be discretized in time to:
6 With P playing role of in NAS Benchmark
7 Note only the product wDt enters i.e. time step Dt plays same role as relaxation parameter w.
in Table To:

Northeast Parallel Architectures Center, Syracuse University, npac@npac.syr.edu

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