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Requiem for an integration procedure
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    "An effort to develop an implicit integration method suitable for application to a multi-level baroclinic model was initiated at NMC in the autumn of 1969. The initial stages followed the approach of RobertĀ¹, who had been studying such methods for some time. The method he proposed treats implicitly, and therefore stably, all allowable gravitational oscillations, both external and internal. This treatment necessitates the solution at each time step of a boundary value problem consisting of one Helmholtz-type equation per layer in the model. Based on the results of experiments with a barotropic primitive equation model, he predicted a time advantage of 4:1 using this method, because of the longer time step permitted. This has subsequently been confirmed in preliminary experiments with a baroclinic modelĀ²"--Introduction.
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