Accession Number:

AD0292968

Title:

TOWARDS A GENERAL PROGRAM FOR THE NUMERICAL SOLUTION OF BOUNDARY VALUE PROBLEMS OF ORDINARY DIFFERENTIAL EQUATIONS

Descriptive Note:

Technical rept.,

Corporate Author:

CALIFORNIA UNIV BERKELEY

Personal Author(s):

Report Date:

1962-09-01

Pagination or Media Count:

1.0

Abstract:

LINOP I with its associated subprograms has been developed in an effort to provide an iterative procedure for solving a class of probl ms which ad it the follo ing description. Given a line r opera or L , BOU ARY CON ITIO S B ic in principle may be non-linear, and a sui ably w ll behaved function f , it is desired to find a parameter lambda and a function u defined on a given domain E such that the boundary conditions B are satisfied and Lu lambda fu,lambd . It is assumed th t f L, and B are such that a unique olutio exists i some neighborhood containing E. In order that the program will have a wide range of application, an attempt has been made to isolate the properties that depend on the method used for the solution from hose that are peculiar o the specific problem considered. For ex pl if h differenc b ween two problems is the statement of the boundary conditions, then it might be that the only modifications necessary are in the subroutines dealing with the boundary conditions. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE