Abstract: The stability of the N-cycle scheme of Lorenz for hyperbolic systems of partial differential equations and for parabolic equations is explored. Stability conditions are given explicitly. For hyperbolic systems, the results ...

Abstract: Arakawa's recent parameterization of the effects of a cumulus ensemble on the large-scale environment is applied to the problem of conditional instability of the second kind (CISK). In particular, Charney's linear, two-level, ...