The Numerical Evaluation by Splines of the Fourier Transform and the Laplace Transform
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 f(x), 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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1972
- Accession Number
- AD0743606
Entities
People
- Sherwood D. Silliman
Organizations
- University of Wisconsin–Madison