Symmetrization of the fluid dynamic matrices with applications

Eli Turkel*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The matrices occurring in the equations of inviscid fluid dynamics are simultaneously symmetrized by a similarity transformation. The resulting matrices decompose into several lower-dimensional blocks. In addition these blocks are more sparse than previously obtained. These properties are then used to find a sufficiency proof for an improved version of the two-step Richtmyer method.

Original languageEnglish
Pages (from-to)729-736
Number of pages8
JournalMathematics of Computation
Issue number124
StatePublished - Oct 1973
Externally publishedYes


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