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ON THE COMPUTATION OF RIGOROUS BOUNDS FOR THE SOLUTIONS OF LINEAR INTEGRAL EQUATIONS WITH THE AID OF INTERVAL ARITHMETIC.
WISCONSIN UNIV MADISON DEPT OF COMPUTER SCIENCES
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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
APPROVED FOR PUBLIC RELEASE