Gaussian Integration for the Digital Computer

Sullivan G. Campbell

janv. 1957 · Mathematics Division, Air Force Office of Scientific Research, ARDC

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The numerical quadrature programs referred to in this paper were written originally for ORACLE (Oak Ridge Automatic Computer and Logical Engine, a Princeton-type machine put into operation at Oak Ridge National Laboratory, Oak Ridge, Tennessee, during 1953, and in nearly continuous operation since that time); they were programmed by Mr. C. L. Gerberich, and the compilation program was written by Mr. Melvin George. Other Gaussian quadrature programs were written earlier, for earlier machines, by other organizations bothin the United States and Great Britain, and some programs have been written for commercial equipment; but the use of Gaussian integration procedures still does not appear to be as common as their merit would justify. This paper represents an attempt to appraise them with respect to general scientific computational utility.