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COMPARISON OF ANALYTICAL AND NUMERICAL SOLUTIONS TO AN INITIAL VALUE PROBLEM DEFINED BY A LINEARIZED, QUASI-GEOSTROPHIC MODEL

STANLEY L. ROSENTHALNational Hurricane Research Laboratory, U.S. Weather Bureau, Miami, Fla.

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Abstract

The accuracy of a numerical technique devised for the purpose of obtaining approximate solutions to an initial value problem defined by linearized equations for quasi-geostrophic flow is tested in certain simple cases for which it is possible to obtain closed solutions. The numerical technique is found to be extremely accurate.

Abstract

The accuracy of a numerical technique devised for the purpose of obtaining approximate solutions to an initial value problem defined by linearized equations for quasi-geostrophic flow is tested in certain simple cases for which it is possible to obtain closed solutions. The numerical technique is found to be extremely accurate.

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