Accession Number:

ADA046713

Title:

Numerical Solution of Singular Integral Equations.

Descriptive Note:

Final rept. 1 Jul 74-15 Jun 77,

Corporate Author:

UTAH UNIV SALT LAKE CITY

Personal Author(s):

Report Date:

1977-08-15

Pagination or Media Count:

9.0

Abstract:

One encounters difficulties in the solution of integral equations, namely, the occurrence of singularities in the kernel, and the occurence of unknown-type singularities in the solution of the integral equation. Standard methods of approximation based on exactness for polynomials up to a certain degree are very poor, and frequently fail for functions having such singularities. The purpose of this contract was to develop methods for solving integral equations which work well in spite of the presence of singularities. This goal has been accomplished, in that the new approximation methods which were developed do work well in the presence of singularities. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE