Abstract
AbstractIn this article we consider a system of equations related to the δ‐primitive equations of the ocean and the atmosphere, linearized around a stratified flow, and we supplement the equations with transparent boundary conditions. We study the stability of different numerical schemes and we show that for each case, letting the vertical viscosity δ go to 0, the stability conditions are the same as the classical CFL conditions for the transport equation. © 2005 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2006
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