Accession Number : AD0701880

Title :   ON THE NUMERICAL SOLUTION OF FREDHOLM INTEGRAL EQUATIONS OF THE FIRST KIND.

Descriptive Note : Technical rept.,

Corporate Author : WISCONSIN UNIV MADISON DEPT OF STATISTICS

Personal Author(s) : Wahba,Grace

Report Date : OCT 1969

Pagination or Media Count : 61

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.

Descriptors :   (*INTEGRAL EQUATIONS, APPROXIMATION(MATHEMATICS)), NUMERICAL ANALYSIS, GREEN'S FUNCTION, INTEGRAL TRANSFORMS, HILBERT SPACE, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE