OPTIMUM INFLUENCE RADII FOR INTERPOLATION WITH THE METHOD OF SUCCESSIVE CORRECTIONS

J. J. STEPHENS Florida State University, Tallahassee, Fla.

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J. M. STITT Florida State University, Tallahassee, Fla.

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Abstract

A method of selecting optimum influence radii for the objective analysis of a scalar field using the method of successive corrections is presented for an arbitrary weight function. The Cressman weight function is used in a computational verification of the result.

A well-defined first pass optimum radius is found that increases with station separation, observational error, and wavelength of the true field for the average taken as the guess field.

Captain, U.S. Air Force, Completed while on A.F.I.T. (Air Force Institute of Technology) assignment at Florida State University.

Abstract

A method of selecting optimum influence radii for the objective analysis of a scalar field using the method of successive corrections is presented for an arbitrary weight function. The Cressman weight function is used in a computational verification of the result.

A well-defined first pass optimum radius is found that increases with station separation, observational error, and wavelength of the true field for the average taken as the guess field.

Captain, U.S. Air Force, Completed while on A.F.I.T. (Air Force Institute of Technology) assignment at Florida State University.

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