Stability Analysis of a New Algorithm Used for Integrating a System of Ordinary Differential Equations

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Stability Analysis of a New Algorithm Used for Integrating a System of Ordinary Differential Equations

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Journal of the ACM (JACM) archive
Volume 17 , Issue 2 (April 1970) table of contents

Pages: 284 - 293

Year of Publication: 1970

ISSN:0004-5411

Author

H. S. Rahme

Grumman Aircraft Engineering Corporation, Bethpage, New York

Publisher

ACM New York, NY, USA

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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	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 [doi>10.1145/321526.321538]
	2	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 [doi>10.1145/321264.321272]
	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	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, P. Discrete Variable Methods in Ordinary Differential Equations. Wiley, New York, 1962.
	6	Begnaud Francis Hildebrand, Introduction to numerical analysis: 2nd edition, Dover Publications, Inc., New York, NY, 1987
	7	MILNE, W. E. Numerical integration of ordinary differential equations. Amer. Math. Mon. S~ (1926), 455-460.
	8	W. E. Milne , R. R. Reynolds, Stability of a Numerical Solution of Differential Equations, Journal of the ACM (JACM), v.6 n.2, p.196-203, April 1959 [doi>10.1145/320964.320976]