A Note About Overhead Costs in ODE Solvers

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A Note About Overhead Costs in ODE Solvers

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

Pages: 319 - 326

Year of Publication: 1980

ISSN:0098-3500

Author

G. K. Gupta

Asian Institute of Technology, P.O. Box 2574, Bangkok, Thailand and Monash University, Australia

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 3, Downloads (12 Months): 27, Citation Count: 2

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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., BEDET, R., FARKAS, I., AND HULL, T.E. Test results on initial value methods for non-stiff ordinary differential equations. Tech. Rep. 68, Dep. Comput. Sci., Univ. Toronto, Canada, 1974.
	2	George E. Forsythe , Michael A. Malcolm , Cleve B. Moler, Computer Methods for Mathematical Computations, Prentice Hall Professional Technical Reference, 1977
	3	Phyllis Fox, A comparative study of computer programs for integrating differential equations, Communications of the ACM, v.15 n.11, p.941-948, Nov. 1972 [doi>10.1145/355606.361868]
	4	C. William Gear, Numerical Initial Value Problems in Ordinary Differential Equations, Prentice Hall PTR, Upper Saddle River, NJ, 1971
	5	HINDMARSH, A.C. GEAR: Ordinary differential equation solver. Rep. UCID-30001, rev. 3, Lawrence Llverraore Lab., Livermore, Calif., 1974.
	6	HULL, T.E., ENRIGHT, W H, FELLER, B.M., AND SEDGWICK, A.E. Comparing numerical methods for ordinary differential equations. SINUM 9 (1972), 603-637.
	7	JACKSON, K.R., ENRIGHT, W H, AND HULL, T.E. A theoretical criterion for comparing Runge- Kutta formulas. SINUM 15 (1978), 618-641
	8	KROGH, F T. VODQ/SVDQ/DVDQ--Variable order integrators for numerical solution of ordinary differential equations. Jet Propulsion Lab., Pasadena, Calif., 1969.
	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	Arthur Edward Sedgwick, An effective variable-order variable-step adams method., 1973
	11	Lawrence F. Shampine, Stability properties of Adams codes, ACM Transactions on Mathematical Software (TOMS), v.4 n.4, p.323-329, December 1978 [doi>10.1145/356502.356478]
	12	SHAbfPINE, L.F., AND GEAR, C.W. A user's view of solving stiff ordinary differential equations. SIAM Rev. 21 (1979), 1-17.
	13	SHAMPINE, L.F., AND GORDON, M.K. Computer Solution of Ordinary D~fferent~al Equations: The Initial Value Problem. Freeman, San Francisco, Calif., 1975.
	14	SHAMPINE, L.F., WATTS, H.A., AND DAVENPORT, S.M. Solving nonstiff ordinary differential equations--The state of the art. SIAM Rev. 18 (1976), 376-411.
	15	SHAMPINE, L.F., AND WISNIEWSKI, J.A. The variable.order Runge-Kutta code RKSW and its performance. Rep. SAND78-1347, Sandia Lab., Albuquerque, N.Mex., 1978.

CITED BY 2

	L. F. Shampine , L. S. Baca, Fixed versus variable order Runge-Kutta, ACM Transactions on Mathematical Software (TOMS), v.12 n.1, p.1-23, March 1986
	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