Further Results on Generalized Predictor-Corrector Methods

摘要

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