
Accession Number : AD0694534
Title : ON THE COMPUTATION OF RIGOROUS BOUNDS FOR THE SOLUTIONS OF LINEAR INTEGRAL EQUATIONS WITH THE AID OF INTERVAL ARITHMETIC.
Descriptive Note : Technical rept.,
Corporate Author : WISCONSIN UNIV MADISON DEPT OF COMPUTER SCIENCES
Personal Author(s) : Cryer,Colin W.
Report Date : AUG 1969
Pagination or Media Count : 47
Abstract : A method is given for approximately solving linear Fredholm integral equations of the second kind with nonnegative kernels. The basis of the method is the construction of piecewisepolynomial 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)
Descriptors : (*INTEGRAL EQUATIONS, NUMERICAL ANALYSIS), (*CAPACITORS, CAPACITANCE), COMPUTER PROGRAMMING, APPROXIMATION(MATHEMATICS), FOURIER ANALYSIS, POLYNOMIALS, SERIES(MATHEMATICS), THEOREMS
Subject Categories : Numerical Mathematics
Computer Programming and Software
Electricity and Magnetism
Distribution Statement : APPROVED FOR PUBLIC RELEASE