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RECORD NUMBER: 46 OF 66Main Title | Numerical Approximation of Semi-Integrals and Semiderivatives by Product Quadrature Rules. | |||||||||||
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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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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. |