Accession Number : AD0755437

Title :   A Discussion of Gear's Implementation of Adam's and Stiff Methods for Solving Ordinary Differential Equations.

Descriptive Note : Technical rept. 1 Jul 71-30 Jun 72,

Corporate Author : AIR FORCE WEAPONS LAB KIRTLAND AFB N MEX

Personal Author(s) : Walters,Charles M.

Report Date : NOV 1972

Pagination or Media Count : 63

Abstract : The report discusses the methods used in Air Force Weapons Laboratory (AFWL) subroutine DIFSUB, a subroutine design to solve a system of first order, nonlinear, ordinary differential equations (ODEs). This subroutine contains two types of methods--the methods developed C. W. Gear for solving systems of stiff equations and Adams methods for solving systems of nonstiff equations. A detailed discussion of both the Adams and stiff methods and how they are embodied in DIFSUB is presented. DIFSUB is written in FORTRAN 4 for CDC 6600 computers. Program listings are included.

Descriptors :   (*NONLINEAR DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION), (*COMPUTER PROGRAMS, NONLINEAR DIFFERENTIAL EQUATIONS), BOUNDARY VALUE PROBLEMS, MATRICES(MATHEMATICS), TRANSFORMATIONS(MATHEMATICS), DIFFERENCE EQUATIONS, ALGORITHMS

Subject Categories : Theoretical Mathematics
      Computer Programming and Software

Distribution Statement : APPROVED FOR PUBLIC RELEASE