Fixed Leading Coefficient Implementation of SD-Formulas for Stiff ODEs

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Fixed Leading Coefficient Implementation of SD-Formulas for Stiff ODEs

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 6 , Issue 4 (December 1980) table of contents

Pages: 540 - 562

Year of Publication: 1980

ISSN:0098-3500

Author

R. Sacks-Davis

Department of Computer Science, Monash University, Clayton, Victoria, Australia

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 3, Downloads (12 Months): 23, 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	ADDISON, C Implementing a stiff method based on second derivative formulas. M Sc. thesis, Dep. Computer Scmnce, Umv. Toronto, Toronto, Canada, 1977.
	2	G. D. Byrne , A. C. Hindmarsh, A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations, ACM Transactions on Mathematical Software (TOMS), v.1 n.1, p.71-96, March 1975 [doi>10.1145/355626.355636]
	3	BYRNE, G.D., HINVMARSH, A.C., JACKSON, K.R., AND BROWN, H.G. A comparison of two ODE codes: GEAR and EPISODE. Comput Chem. Eng 1 (1977), 133-147.
	4	Wayne Howard Enright, Studies in the numerical-solution of stiff ordinary differential equations., 1972
	5	ESRIGHT W.H. Second derivative multistep methods for stiff ordinary differential equations. SIAM J. Numer. Anal 11 (1974), 321-331.
	6	ENRIGHT, W H. Improving the efficmncy of matrLx operations m the numerical soluhon of stiff ODE's. Tech. Rep 98, Dep. Computer Science, Univ Toronto, Toronto, Canada, 1976.
	7	ENRIGHT, W.H., AND HULL, T.E. Comparing numerical methods for the solution of stiff systems of ODE's arising m chemistry In Numerical Methods for D~fferentml Systems, L. Lapidus and W.E. Scluesser, Eds., Academic Press, New York, 1976, pp. 45-66.
	8	ENRIGHT, W.H., HULL, T.E., AND LINDBERG, B. Comparing numerical methods for surf systems of ODE's. BIT 15 (1975), 10-48.
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	12	HENRICI, P. D~screte Varmble Methods ~n Ordinary D~fferenttal Equations. Wiley, New York, 1962.
	13	HINDMARSH, A.C. GEAR. Ordinary differential equatmn system solver. Tech. Rep UCID-30001, ReD. 3, Lawrence Llvermore Laboratory, Livermore, Calif., 1974
	14	Kenneth Ronald Jackson, Variable stepsize, variable order integrand approximation methods for the numerical solution of ordinary differential equations., 1978
	15	K. R. Jackson , R. Sacks-Davis, An Alternative Implementation of Variable Step-Size Multistep Formulas for Stiff ODEs, ACM Transactions on Mathematical Software (TOMS), v.6 n.3, p.295-318, Sept. 1980 [doi>10.1145/355900.355903]
	16	SACKS-DAvls, R. Solution to stiff ordinary differential equatmns by a second derivative method. SIAM J. Numer Anal 14 (1977), 1088-1100.
	17	SACKS-DAvis, R. Error estimates for a stiff differential equation procedure Math. Comput 31 (1977), 939-953.
	18	SACKS-D^vIs, R. Software for the solution of stiff ODE's based on second derivative formulas. Tech Rep. 145, Dep. Computer Scmnce, Technmn-israel Institute of Technology, Haffa, Israel, 1979.
	19	SACKS-DAvis, R. SDSTEP--Ordmary differential equation solver Tech. Rep., Dep. Computer Science, Monash Univ., Clayton, Vmtorm, Australia (in preparation).
	20	Arthur Edward Sedgwick, An effective variable-order variable-step adams method., 1973
	21	SHAMPINE, L.F. Lipschitz constants and robust ODE codes. SAND 79-0458, Sandia Laboratories, Albuquerque, N. Mex, 1978
	22	SHAMPINE, L.F., AND GORDON, M.K. Computer solutmn of ordinary differential equatmns. W.H. Freeman, San Francisco, Calif., 1975.
	23	Robert D. Skeel , Antony K. Kong, Blended Linear Multistep Methods, ACM Transactions on Mathematical Software (TOMS), v.3 n.4, p.326-345, Dec. 1977 [doi>10.1145/355759.355762]