Accession Number:

AD0750026

Title:

Experiments with a New Integration Algorithm.

Descriptive Note:

Technical information series,

Corporate Author:

GENERAL ELECTRIC CO SCHENECTADY N Y RESEARCH AND DEVELOPMENT CENTER

Personal Author(s):

• Roe,G. M.

Report Date:

1967-02-01

Pagination or Media Count:

18.0

Abstract:

A new four-point, predictor-corrector integration algorithm for simultaneous differential equations has been developed. It is derived by fitting to an exponential plus a quadratic rather than by fitting to a quartic polynomial as in the usual Adams-Moulton scheme. Accuracy was improved by several orders of magnitude on a number of test problems, and when the exponential is not appropriate as a fitting function the method reduces automatically to the Adams-Moulton scheme. The stability characteristics are not changed appreciably. Author

Descriptors:

• (*DIFFERENTIAL EQUATIONS
• *NUMERICAL INTEGRATION)
• ALGORITHMS
• COMPUTER PROGRAMMING
• CURVE FITTING
• EXPONENTIAL FUNCTIONS
• POLYNOMIALS
• ERRORS

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE