Predictor-Corrector Methods of High Order With Improved Stability Characteristics

Authors:
Fred T. Krogh
Affiliations:
TRW Systems Group, Redondo Beach, California
Venue:
Journal of the ACM (JACM)
Year:
1966

Citing 3
Cited 3

Stability Properties of Predictor-Corrector Methods for Ordinary Differential Equations

Journal of the ACM (JACM)
Efficiency of Predictor-Corrector Procedures

Journal of the ACM (JACM)
A Predictor-Corrector Algorithm with an Increased Range of Absolute Stability

Journal of the ACM (JACM)

A Test for Instability in the Numerical Solution of Ordinary Differential Equations

Journal of the ACM (JACM)
On Testing a Subroutine for the Numerical Integration of Ordinary Differential Equations

Journal of the ACM (JACM)
Automatic Solution of Differential Equations Based on the User of Linear Multistep Methods

ACM Transactions on Mathematical Software (TOMS)

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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.