Computing Integrals Involving B-Splines by Means of Specialized Gaussian Quadrature Rules.

摘要

In the paper a technique and algorithm are given to efficiently compute integrals involving products of splines and general functions. Using the B-Splines as weighting functions the authors show how to generate Gaussian quadrature rules for approximating the integrals. Tables of abscissas and weights,together with procedures for their use,are given for the important special case in which the internal breakpoints of the B-Splines are equally spaced. (Author)