NUMERICAL CONTOUR INTEGRATION.
Abstract
This paper is concerned with numerical integration along contours in the complex plane. Let R sub n denote the quadrature remainder with n evaluation points. An error functional related to R sub n is minimized, subject to the constraint that R sub n (f) be exact whenever f is a polynomial of certain degree. A special case is given, with computed examples of the theory's application. Another problem considered is that of the convergence of quadratures as the number of evaluation points increases. Theorems characterizing the domains of holomorphy that ensure convergence are given. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1964
- Accession Number
- AD0608854
Entities
People
- Robert Ellis Barnhill
Organizations
- University of Wisconsin–Madison