FURTHER RESULTS ON GENERALIZED PREDICTOR-CORRECTOR METHODS.

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)

Document Details

Document Type
Technical Report
Publication Date
Jul 28, 1967
Accession Number
AD0661659

Entities

People

  • Roy Danchick

Organizations

  • System Development Corporation

Tags

DTIC Thesaurus Topics

  • Mathematics
  • Polynomials
  • Truncation

Readers

  • Approximation Theory.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)