On acceleration of MacCormack's scheme

David Gottlieb*, Eli Turkel

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


An acceleration of MacCormack's scheme due to D'esidéri and Tannehill is analyzed. It is found that for hyperbolic problems one cannot improve upon the efficiency of MacCormack's method. For parabolic problems the time step can be chosen arbitrarily large without loss of stability by an appropriate choice of the acceleration parameters. When applied to the heat equation this method is equivalent to both the Dufort-Frankel scheme and to MSOR.

Original languageEnglish
Pages (from-to)252-256
Number of pages5
JournalJournal of Computational Physics
Issue number2
StatePublished - Feb 1978
Externally publishedYes


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