ON THE NUMERICAL SOLUTION OF FREDHOLM INTEGRAL EQUATIONS OF THE FIRST KIND.
Abstract
The report is concerned with the numerical solution of a Fredholm integral equation of the first kind. Two methods in the literature seem to have resulted in satisfactory numerical examples. The first method is called the method of regularization of Tihonov and was studied experimentally by Tihonov and Glasko. The second method was discussed by Strand and Westwater and is called 'statistical estimation' of the solution. Both of these methods can be embedded in the general theory of the approximation of continuous linear functionals in a reproducing kernel Hilbert space. The overall purpose of this note is to demonstrate this statement in some considerable practical detail.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1969
- Accession Number
- AD0701880
Entities
People
- Grace Wahba
Organizations
- University of Wisconsin–Madison