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) : Danchick,Roy

Report Date : 28 JUL 1967

Pagination or Media Count : 31

Abstract : The paper extends from k=4 to k=6 the existence of stable, maximal order (2k+2), 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-1<theta<k. From this notion follows a new characterization, in turn, leads us to the development of an explicit corrector truncation error formula. (Author)

Descriptors :   (*NUMERICAL METHODS AND PROCEDURES, THEOREMS), POLYNOMIALS, NUMERICAL ANALYSIS, ALGORITHMS, DIFFERENTIAL EQUATIONS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE