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 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)
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