Record Display for the EPA National Library CatalogRECORD NUMBER: 1 OF 1
|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.|
|Additional Subjects||Integral equations ; Approximation ; Numerical integration ; Interpolation ; Numerical quadrature ; Foreign technology ; Computer applications|
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.