A Predictor-Corrector Algorithm with an Increased Range of Absolute Stability

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A Predictor-Corrector Algorithm with an Increased Range of Absolute Stability

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Journal of the ACM (JACM) archive
Volume 12 , Issue 2 (April 1965) table of contents

Pages: 227 - 241

Year of Publication: 1965

ISSN:0004-5411

Authors

R. L. Crane	RCA Laboratories, Princeton, New Jersey
R. W. Klopfenstein	RCA Laboratories, Princeton, New Jersey

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 6, Downloads (12 Months): 48, Citation Count: 4

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	R. W. Hamming, Stable Predictor-Corrector Methods for Ordinary Differential Equations, Journal of the ACM (JACM), v.6 n.1, p.37-47, Jan. 1959 [doi>10.1145/320954.320958]
	2	Roger L. Crane , Robert J. Lambert, Stability of a Generalized Corrector Formula, Journal of the ACM (JACM), v.9 n.1, p.104-117, Jan. 1962 [doi>10.1145/321105.321116]
	3	P. E. Chase, Stability Properties of Predictor-Corrector Methods for Ordinary Differential Equations, Journal of the ACM (JACM), v.9 n.4, p.457-468, Oct. 1962 [doi>10.1145/321138.321143]
	4	HENRICI, P- Discrete Variable Methods in Ordinary Differential Equations. Wiley t sonbs, New York, 1962.
	5	DAHLQUYIST, (3. Convergence and stability in the numerical integratiott of ordinary differential equations. Math. Stand. 4 (1956), 33-53.
	6	MILNE, W. E. Nwmerical Sohtgion of Differengial Equations. Wiley & Sons, New York, 195,3.
	7	W. E. Milne , R. R. Reynolds, Stability of a Numerical Solution of Differential Equations—Part II, Journal of the ACM (JACM), v.7 n.1, p.46-56, Jan. 1960 [doi>10.1145/321008.321014]

CITED BY 4

	Zahari Zlatev , Per Grove Thomsen, Automatic Solution of Differential Equations Based on the User of Linear Multistep Methods, ACM Transactions on Mathematical Software (TOMS), v.5 n.4, p.401-414, Dec. 1979
	H. S. Rahme, Stability Analysis of a New Algorithm Used for Integrating a System of Ordinary Differential Equations, Journal of the ACM (JACM), v.17 n.2, p.284-293, April 1970
	Fred T. Krogh, A Test for Instability in the Numerical Solution of Ordinary Differential Equations, Journal of the ACM (JACM), v.14 n.2, p.351-354, April 1967
	Fred T. Krogh, Predictor-Corrector Methods of High Order With Improved Stability Characteristics, Journal of the ACM (JACM), v.13 n.3, p.374-385, July 1966