Accession Number:

AD0605362

Title:

DISCRETIZATION METHODS FOR RETARDED ORDINARY DIFFERENTIAL EQUATIONS.

Descriptive Note:

Doctoral tthesis,

Corporate Author:

CALIFORNIA UNIV LOS ANGELES NUMERICAL ANALYSIS RESEARCH

Personal Author(s):

Report Date:

1964-08-01

Pagination or Media Count:

64.0

Abstract:

Let alphax be a continuous real function satisfying a alphax x b. Let ya y sub o, a given real number. Then the retarded ordinary differential equation yx fx, yx, yalphax has a unique local solution yx provided that f is continuous in its first argument and satisfies a Lip sub 1 condition in its other arguments. The purpose of this paper is to investigate constructive methods for solving this initial value problem. The discrete variable approach is used. Chapter 1 introduces a first order one step algorithm, shows that under suitable hypotheses it converges uniformly on finite intervals to the unique solution yx, and shows that the discretization error is bounded. The bound, while a function of f, is independent of alpha. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE