TOWARDS A GENERAL PROGRAM FOR THE NUMERICAL SOLUTION OF BOUNDARY VALUE PROBLEMS OF ORDINARY DIFFERENTIAL EQUATIONS
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 f(u,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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1962
- Accession Number
- AD0292968
Entities
People
- E. Close
- R. Devogelaere
Organizations
- University of California, Berkeley