Predictor-Corrector Methods of High Order With Improved Stability Characteristics
- 1 July 1966
- journal article
- Published by Association for Computing Machinery (ACM) in Journal of the ACM
- Vol. 13 (3), 374-385
- https://doi.org/10.1145/321341.321347
Abstract
Some new predictors are presented for use with the Adams-Moulton correctors of orders 4 through 8. The resulting algorithms have better stability characteristics than the usual ones which employ the Adams Bashforth predictors and at the same time require no additional storage. The regions of absolute and relative stability for the methods mentioned above and for the iterated Adams-Moulton correctors are given. Results obtained using the various methods are compared.Keywords
This publication has 5 references indexed in Scilit:
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- Relative Stability in the Numerical Solution of Ordinary Differential EquationsSIAM Review, 1965
- Stability properties of Adams-Moulton type methodsMathematics of Computation, 1965
- Efficiency of Predictor-Corrector ProceduresJournal of the ACM, 1963
- Stability Properties of Predictor-Corrector Methods for Ordinary Differential EquationsJournal of the ACM, 1962