Stability properties of Adams codes

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Stability properties of Adams codes

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 4 , Issue 4 (December 1978) table of contents

Pages: 323 - 329

Year of Publication: 1978

ISSN:0098-3500

Author

Lawrence F. Shampine

Numerical Mathematics Division 5642, Sandia Laboratories, Albuquerque, NM

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 6, Downloads (12 Months): 28, Citation Count: 1

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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	ENRIGHT, W H, AND HULL, T E Test results on mmal value methods for non-stiff ordinary differential equations. SIAM J. Numer. Anal 13 (1976), 944-961.
	2	ENRIGHT, W H, HULL, T.E, AND LINDBERG, B Companng numerical methods for stiff systems of O.D.E.'s BIT 15 (1975), 10-48.
	3	C. William Gear, Numerical Initial Value Problems in Ordinary Differential Equations, Prentice Hall PTR, Upper Saddle River, NJ, 1971
	4	GEAR, C.W. Private commumcatlon.
	5	HINDMARSH, A C. GEAR' Ordinary differential equation system solver. UCID-30001, Rev. 1, Lawrence Livermore Lab., Livermore, Calif., 1972
	6	HULL, T.E., ENRIGHT, W.H., FELLEN, B.M., AND SEDGWICK, A.E. Comparing numerical methods for ordinary differential equations. SIAM J. Numer. Anal 9 (1972), 603-637.
	7	KAHANER, D., AND SUTHERLAND, D Code D207 of the program hbrary at Los Alamos Scientific Lab., Los Alamos, N. Mex. The author gratefully acknowledges the generosity and assistance of the writers of this code for privately communicating it to him for purposes of testing, evaluation, and development
	8	KROGH, F.T Changing stepsize in the integration of differential equations using modified divided differences Proc Conf. on the Numerical Solution of Ordinary Differential Equations, Lecture Notes m Mathematms No 362, Spmnger, New York, 1974
	9	Fred T. Krogh, On Testing a Subroutine for the Numerical Integration of Ordinary Differential Equations, Journal of the ACM (JACM), v.20 n.4, p.545-562, Oct. 1973 [doi>10.1145/321784.321786]
	10	SHAMPINE, L.F., AND GORDON, M.K. Computer Solution of Ordinary Dtfferent~al Equatmns The In~tml Value Problem. W.H. Freeman, San Francisco, 1975.
	11	SHAMPINE, L.F., WATTS, H.A., AND DAVENPORT, S.M Solwng nonstlff ordinary dlfferenhal equatmns--the state of the art SIAM Rev 18 (1976), 376-411.
	12	SKELBOE, S. The control of order and steplength for backward differentmtmn formulas. BIT 17 (1977), 91-107