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OLS Field Name OLS Field Data
Main Title Numerical Approximation of Semi-Integrals and Semiderivatives by Product Quadrature Rules.
Author Lether, F. G. ; Cline, D. M. ; Evans, O. ;
CORP Author Environmental Research Lab., Athens, GA. ;Computer Sciences Corp., Athens, GA.
Year Published 1982
Report Number EPA/600/J-82/013;
Stock Number PB85-165868
Additional Subjects Integral equations ; Approximation ; Numerical integration ; Interpolation ; Numerical quadrature ; Foreign technology ; Computer applications
Holdings
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Status
NTIS  PB85-165868 Most EPA libraries have a fiche copy filed under the call number shown. Check with individual libraries about paper copy. NTIS 06/21/1988
Collation 13p
Abstract
This paper is concerned with the numerical calculation of the semi-integral and semiderivative of a function f, whose values f (xj) are known on a discrete set of abscissas 0 = x(1) < x(2) < ... < x(n). A family of product quadrature rules is developed to approximate the semi-integral d (sup -1/2) f/dx (sup -1/2) and semiderivative d (sup 1/2) f / dx (sup 1/2) at each of the positive abscissas x(j), j = 2,3,...,n. Numerical applications and comparisons with known rules are presented.