Accession Number : AD0703702

Title :   A PROPOSAL FOR THE CALCULATION OF CHARACTERISTIC FUNCTIONS FOR CERTAIN DIFFERENTIAL AND INTEGRAL OPERATORS VIA INITIAL-VALUE PROCEDURES,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Casti,J. ; Kalaba,R. ; Scott,M.

Report Date : MAR 1970

Pagination or Media Count : 26

Abstract : The Memorandum presents an intital-value method for the solution of the inhomogeneous Fredholm integral equation u(t) = g(t) + (lambda) the integral from 0 to c of (k(the absolute value of (t-y))u(y)dy). These equations and an expansion formula of classical analysis allow a proposal to be made for calculating the solutions to the homogeneous equation phi(t) = (lambda) the integral from 0 to c of (k(the absolute value of (t-y))phi(y)dy). The Memorandum discusses possible numerical difficulties and presents extensions to other types of linear operators. (Author)

Descriptors :   (*INTEGRAL EQUATIONS, NUMERICAL INTEGRATION), (*BOUNDARY VALUE PROBLEMS, NUMERICAL ANALYSIS), OPERATORS(MATHEMATICS), NEUTRON TRANSPORT THEORY, BOUNDARY VALUE PROBLEMS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE