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- W224748620 abstract "Various numerical techniques available for the digital solution of integrals have previously been examined. The techniques covered were the trapezoidal rule, Simpson's rule, Romberg's technique, and a group of the more applicable Gaussian Quadrature techniques. These techniques are illustrated by the solution of a gas flow equation for wells and pipelines with and without large temperature gradients. The basic reference for this application is the article ''Practical Solution of Gas-Flow Equations for Wells and Pipelines with Large Temperature Gradients,'' by Cullendar and Smith. The primary reason for selecting this application is the integral which provides the key to the solution of the pressures in gas wells and pipelines in which the components of the integrand are pressure dependent. Since pressure is the integrating variable, this requires a step-wise computation of these dependents as the function, in various step lengths, is passed through. This particular article is devoted to probably the most difficult part of this and any other integral solution on a computer--the setting up of the problem for digital handling." @default.
- W224748620 created "2016-06-24" @default.
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- W224748620 date "1971-07-19" @default.
- W224748620 modified "2023-09-26" @default.
- W224748620 title "Computer programming and mathematical techniques for engineers, Pt. 74. Digital solutions of an integral" @default.
- W224748620 hasPublicationYear "1971" @default.
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