The exact region of stability for MacCormack scheme
type: Item
instance of: scholarly article
title: The exact region of stability for MacCormack scheme
zbMATH Open document ID: 0860.65083
DOI: 10.1007/BF02253461
author: Yanyan Li
published in: Computing
publication date: 1997-04-21T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35L45
zbMATH DE Number: 895860
zbMATH Keywords: MacCormack scheme
zbMATH Keywords: advection equation
zbMATH Keywords: stability
reviewed by: A. I. Tolstykh
MaRDI profile type: Publication
cites work: Partial cylindrical algebraic decomposition for quantifier elimination
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cites work: Symmetric hyperbolic difference schemes and matrix problems
cites work: The stability of MacCormack's method for the scalar advection equation
full work available at URL: https://doi.org/10.1007/bf02253461
OpenAlex ID: W1517324785
description: scientific article; zbMATH DE number 895860