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A note on convergence of line iterative methods for a nine-point matrix

✍ Scribed by S. Karaa; Jun Zhang

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 510 KB
Volume: 15
Category: Article
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(01)00164-1

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✦ Synopsis

We prove the convergence of line iterative methods for solving the linear system arising from a nine-point compact discretization of a special two-dimensional convection diff~ion equation. The results provide rigorous justification for the numerical experim~ts conducted elsewhere, which demonstrate the high accuracy and stability advantages of the fourth-order compact scheine. Numerical experiments are used to support our analytic results.

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