The exact region of stability for MacCormack scheme (Q1916052)
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scientific article; zbMATH DE number 895860
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The exact region of stability for MacCormack scheme |
scientific article; zbMATH DE number 895860 |
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The exact region of stability for MacCormack scheme (English)
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21 April 1997
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The scheme of \textit{R. W. MacCormack} [The effect of viscosity in hypervelocity impact cratering, AIAA Paper No. 69-354 (1969)] for the two-dimensional scalar advection equation with constant coefficients is considered. Necessary and sufficient conditions for the stability of the scheme are derived by analyzing the amplifications factor using quantifier elimination technique.
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MacCormack scheme
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advection equation
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stability
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