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NUMERICAL APPROXIMATION OF SEMI-INTEGRALS AND SEMIDERIVATIVES BY PRODUCT QUADRATURE RULES
Citation:
Lether, F., D. Cline, AND O. Evans. NUMERICAL APPROXIMATION OF SEMI-INTEGRALS AND SEMIDERIVATIVES BY PRODUCT QUADRATURE RULES. U.S. Environmental Protection Agency, Washington, D.C., EPA/600/J-82/013 (NTIS PB85165868).
Description:
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.
Record Details:
Record Type:DOCUMENT( REPORT )
Product Published Date:05/24/2002
Record Last Revised:12/10/2002
Record ID:
40927