Stability Properties of Predictor-Corrector Methods for Ordinary Differential Equations

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Stability Properties of Predictor-Corrector Methods for Ordinary Differential Equations

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Journal of the ACM (JACM) archive
Volume 9 , Issue 4 (October 1962) table of contents

Pages: 457 - 468

Year of Publication: 1962

ISSN:0004-5411

Author

P. E. Chase

Radio Corporation of America, David Sarnoff Research Center, Princeton, New Jersey

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 23, Downloads (12 Months): 93, Citation Count: 10

Additional Information:

references cited by index terms

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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	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]
	2	DAHLQUIST, G. Convergence and stability in the numerical integration of ordinary differential equations. Math. Scand. 4 (1956), 33-53.
	3	DAHLQUIST, G. Stability and error bounds in the numerical integration of ordinary differential equations. Trans. Roy. Inst. Technology, No. 130, (1959), 1-87.
	4	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]
	5	HENRICI, PETER. Discrete Variable Methods ~n Ordinary D~fferent~al Equations. Wiley & Sons, Inc., 1962.
	6	Begnaud Francis Hildebrand, Introduction to numerical analysis: 2nd edition, Dover Publications, Inc., New York, NY, 1987
	7	MILN~, W. E. Numerical Calculus. Princeton University Press 1949

CITED BY 10

	H. S. Rahme, A New Look at the Numerical Integration of Ordinary Differential Equations, Journal of the ACM (JACM), v.16 n.3, p.496-506, July 1969
	D. G. Brush , J. J. Kohfeld , G. T. Thompson, Solution of Ordinary Differential Equations Using Two ``Off-Step'' Points, Journal of the ACM (JACM), v.14 n.4, p.769-784, Oct. 1967
	R. L. Crane , R. W. Klopfenstein, A Predictor-Corrector Algorithm with an Increased Range of Absolute Stability, Journal of the ACM (JACM), v.12 n.2, p.227-241, April 1965
	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
	George Emanuel, The Wilf Stability Criterion for Numerical Integration, Journal of the ACM (JACM), v.10 n.4, p.557-561, Oct. 1963
	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
	T. E. Hull , A. L. Creemer, Efficiency of Predictor-Corrector Procedures, Journal of the ACM (JACM), v.10 n.3, p.291-301, July 1963
	Eldon Hansen, Cyclic composite multistep predictor-corrector methods, Proceedings of the 1969 24th national conference, p.135-139, August 26-28, 1969
	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
	Abbas I. Abdel Karim, A Theorem for the Stability of General Predictor-Corrector Methods for the Solution of Systems of Differential Equations, Journal of the ACM (JACM), v.15 n.4, p.706-711, Oct. 1968

INDEX TERMS

Primary Classification:
G. Mathematics of Computing
G.1 NUMERICAL ANALYSIS

General Terms:
Algorithms, Experimentation, Measurement, Performance, Reliability, Theory

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