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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
Library Call Number Additional Info Location Last
NTIS  PB85-165868 Some EPA libraries have a fiche copy filed under the call number shown. 07/26/2022
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.
Supplementary Notes Prepared in cooperation with Computer Sciences Corp., Athens, GA.
Availability Notes Pub. in Jnl. of Mathematics and Physical Sciences, v16 n2 p111-121 1982.
NTIS Title Notes Journal article.
PUB Date Free Form c1982
Category Codes 12A; 72B
NTIS Prices Not available NTIS
Primary Description 600/01
Document Type NT
Cataloging Source NTIS/MT
Control Number 513019029
Origin NTIS
Type CAT