ON THE COMPUTATION OF RIGOROUS BOUNDS FOR THE SOLUTIONS OF LINEAR INTEGRAL EQUATIONS WITH THE AID OF INTERVAL ARITHMETIC.
Abstract
A method is given for approximately solving linear Fredholm integral equations of the second kind with non-negative kernels. The basis of the method is the construction of piecewise-polynomial degenerate kernels which bound the given kernel. The method is a generalization of a method suggested by Gerberich. When implemented on a computer, interval arithmetic is used so that rigorous bounds for the solution of the integral equations are obtained. The method is applied to two problems: the equation considered by Gerberich; and the equation of Love which arises in connection with the problem of determining the capacity of a circular plate condenser. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1969
- Accession Number
- AD0694534
Entities
People
- Colin Walker Cryer
Organizations
- University of Wisconsin–Madison