A linear analysis of the shallow water equations in spherical coor- dinates for the turkel-Zwas (T-Z) explicity large time-step scheme is presented. This paper complements the results of Schoenstadt, neat and Navon, and others in 1-D, and of Neta and DeVito in 2-D but applied to the spherical coordinate case of the T-Z scheme. This coordinate system is more realistic in meteorology and more Complicated to analyze, since the coefficients are no longer constant. The analysis suggests that the T-Z scheme must be staggered in A certain way in order to get eigenvalues and eigenfunction ap- Proaching those of the continuous case.
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