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