A Numerical Method to Integrate Stiff Systems of Ordinary Differential Equations

reportActive / Technical Report | Accession Number: ADA080998 | Open PDF

Abstract:

A method is described for the efficient integration of stiff systems of ordinary differential equations. The method, based on a predictor-corrector formulation, uses the Jacobian in a non-standard fashion. The resulting program is compared with EPISODE, a standard stiff integrator, for a number of systems of ordinary differential equations. The results show that the procedure is usually competitive with EPISODE and is more efficient for some problems.

Author(s):
Coffee, T. P. ; Heimerl, J. M. ; Kregel, M. D.
Author Organization(s):
ARMY BALLISTIC RESEARCH LAB ABERDEEN PROVING GROUND MD
Descriptive Note:
Technical rept.
Supplementary Note:
DOI: 10.21236/ADA080998
Pagination:
0053

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release
Distribution Statement:
Approved For Public Release; Distribution Is Unlimited.

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
ARBRL-TR-02206
Project Number(s):
1L161102AH43
Monitor Series:
BRL
 Subject Terms
Joint Capability Areas:
JCA_5_Command and Control; JCA_1_Force Support; JCA_1.2_Force Preparation; JCA_1.4.2_Health Service Delivery; JCA_1.4_Force Support; JCA_1.2.3_Educating; JCA_5.2_Understand; JCA_6_Net Centric; JCA_4.6_Engineering; JCA_5.3_Planning; JCA_6.4.1_Secure Information Exchange; JCA_1.3_Human Capital Management
Modernization Areas:
Space; Fully Networked C3
Communities of Interest:
Weapons Technologies
Descriptor(s):
*DIFFERENTIAL EQUATIONS, *NUMERICAL INTEGRATION, COMPARISON, COMPUTER PROGRAMS, COMPUTERIZED SIMULATION, INTEGRATORS(COMPUTERS), MATRICES(MATHEMATICS)
Field(s)/Group(s):
Theoretical Mathematics, Computer Programming and Software
Keyword(s):
*STIFF DIFFERENTIAL EQUATIONS, JACOBIAN MATRIX, K MATRIX, PREDICTOR CORRECTOR METHOD, EPISODE COMPUTER PROGRAM, IONOSPHERE, PE61102A
Report Date:
1980 Jan 01