Accession Number:

AD0661659

Title:

FURTHER RESULTS ON GENERALIZED PREDICTOR-CORRECTOR METHODS.

Descriptive Note:

Professional paper,

Corporate Author:

SYSTEM DEVELOPMENT CORP SANTA MONICA CALIF

Personal Author(s):

Report Date:

1967-07-28

Pagination or Media Count:

31.0

Abstract:

The paper extends from k4 to k6 the existence of stable, maximal order 2k2, multistep predictor-corrector methods described by Gragg and Stetter. The key motion utilized in our derivations is, similar to that described by Butcher, a quasi-Hermite Interpolating Polynomial, H, over the points 0,1,2,..., k-1, theta where k-1thetak. From this notion follows a new characterization, in turn, leads us to the development of an explicit corrector truncation error formula. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE