FURTHER RESULTS ON GENERALIZED PREDICTOR-CORRECTOR METHODS.
SYSTEM DEVELOPMENT CORP SANTA MONICA CALIF
Pagination or Media Count:
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
- Theoretical Mathematics