Abstract
A stability analysis was developed for the time-split method of MacCormack [7] and [8] as applied to a model conduction problem with motion of the continuum. Extrema in the magnitude of the amplification factors for variations in wave numbers were found and used to define the stability boundaries of the operators. Numerical experiments verified this analysis. A simplified form of the stability boundary was demonstrated and should be a practical guide for the conduction problem considered.
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