Linear computational stability of the core-contained 4th order LFM

"During early March 1983 evidence surfaced that suggested the presence of linear computational stability within the LFM model. The numerical method used to integrate the model equations has evolved over the years since the fundamental analysis of Brown and Campana (1978) appeared. In particular the model now uses fourth-order accurate, finite-difference approximations and a rather large diffusion coefficient, especially near the boundaries. In an effort to shed some light on the observed behavior of the model, I have carried out a linear, computational stability analysis taking into account the presently used methods"--Introduction. Joseph P. Gerrity, Jr. "April 1983." "This is an unreviewed manuscript, primarily intended for informal exchange of information among NMC staff members." System requirements: Adobe Acrobat Reader. Includes bibliographical references (page 10). 1983 NWS (National Weather Service) NCEP (National Centers for Environmental Prediction) Library Public Domain 2285