Predictor-corrector Methods with Improved Absolute Stability Regions

1 October 1983

journal article
Published by Oxford University Press (OUP) in IMA Journal of Numerical Analysis

Vol. 3 (4) , 417-437
https://doi.org/10.1093/imanum/3.4.417

Abstract

Generalized predictor-corrector methods with an extended region of absolute stability are studied. Choosing an extrapolation-predictor and a backward-differentiation-corrector, methods of orders up to 6 are constructed. The real stability boundaries of these methods are of magnitude m², where m is the number of right-hand side evaluations per integration step. The coefficients of the methods can be generated during the computation for arbitrary values of m. The storage requirements are limited and are independent of m.

Keywords

HAND
CORRECTOR METHODS
PREDICTOR CORRECTOR
GENERALIZED PREDICTOR
EXTENDED REGION
ABSOLUTE STABILITY
DIFFERENTIATION CORRECTOR

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