On Taylor Series and Stiff Equations

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On Taylor Series and Stiff Equations

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 6 , Issue 3 (September 1980) table of contents

Pages: 280 - 294

Year of Publication: 1980

ISSN:0098-3500

Author

David Barton

Department of Mathematical Sciences, University of Missouri, St. Louis, MO

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 4, Downloads (12 Months): 32, Citation Count: 2

Additional Information:

references cited by index terms collaborative colleagues

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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	BARTON, D, WILLERS, I.M., AND ZAHAR, R.V.M. In Mathematwal ~o}tware, J.l~. l~lce, }~(1. Academic Press, New York, 1972, pp. 369-389.
	2	BARTON, D, WILLERS, I.M., AND ZAHAR, R.V.M. In The Best Computer Papers of 1971, O.R. Petrocelh, Ed Auerbach Pubhshers, Pennsauken, N.J., 1971, pp. 147-163
	3	ENRIGHT, W H, HULL, T.E., AND LINDBERG, B. B~t 15 (1975), 10-48.
	4	GEAR, C.W. The automatic integration of stiff orchnary differential equations. Proc. IFIP Congr North-Holland, Amsterdam, 1969, pp 187-193.
	5	NORMAN, A.C. Proc. ACM Annual Conf, Boston, Mass., Aug. 1972.
	6	NORMAN, A.C. Comput. J. 19, 1 (1975), 63-68.
	7	THORNLEY, G.J. Ph.D. dissertation, Cambridge Univ., Cambridge, England, 1975.
	8	WHITTAKER, E.J., AND WATSON, G.N. Modern Analysis. Cambridge University Press, New York, 1946, p 125.
	9	I. M. Willers, A new integration algorithm for ordinary differential equations based on continued fraction approximations, Communications of the ACM, v.17 n.9, p.504-508, Sept. 1974 [doi>10.1145/361147.361150]

CITED BY 2

	George Corliss , Y. F. Chang, Solving Ordinary Differential Equations Using Taylor Series, ACM Transactions on Mathematical Software (TOMS), v.8 n.2, p.114-144, June 1982
	Gopal K. Gupta , Ron Sacks-Davis , Peter E. Tescher, A review of recent developments in solving ODEs, ACM Computing Surveys (CSUR), v.17 n.1, p.5-47, March 1985

INDEX TERMS

Primary Classification:
G. Mathematics of Computing

Additional Classification:
G. Mathematics of Computing
G.1 NUMERICAL ANALYSIS
G.1.7 Ordinary Differential Equations
Subjects: Stiff equations

General Terms:
Theory

Collaborative Colleagues:

David Barton: colleagues

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