Accession Number:

AD0743606

Title:

The Numerical Evaluation by Splines of the Fourier Transform and the Laplace Transform

Descriptive Note:

Technical summary rept.

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1972-01-01

Pagination or Media Count:

114.0

Abstract:

The author considers quadrature formulae q.f. for the numerical evaluation of the Fourier, cosine, sine, and Laplace transformations.. Three different approaches are used to construct our q.f. either integrate an appropriate spline interpolant to fx, require our q.f. to be exact for a particular sequence of so-called B-splines, or utilize a particular monospline. In any case, the generality and utility the author achieves is due to the form of the splines the author uses in particular to the components of these splines, the so-called B-splines.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE