Storage Reduction for Runge-Kutta Codes

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Storage Reduction for Runge-Kutta Codes

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 5 , Issue 3 (September 1979) table of contents

Pages: 245 - 250

Year of Publication: 1979

ISSN:0098-3500

Author

L. F. Shampine

Numerical Mathematics Division, Sandia Laboratories, Albuquerque, NM

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 6, Downloads (12 Months): 40, 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	CURTIS, A.R. High-order Runge-Kutta formulae, their uses and limitations. J Inst. Math. Appl. 16 (1975), 35-55.
	2	ENRIGHT, W.H., BEDET, R., FARKAS, J., AND HULL, T.E. Test results on initial value methods for non-stiff ordinary differential equations. Tech. Rep. No. 68, Dept. of Comptr. Scl., U of Toronto, Toronto, Canada, 1974
	3	GILL, S. A process for the step-by-step integration of differential equations in an automatm computing machine. Proc. Cambridge Philos. Soc. 47 (1951), 176-187.
	4	VAN DEn HOUWEN, P.J Explicit Runge-Kutta formulas with increased stability boundaries. Numer. Math. 20 (1972), 149-164.
	5	HULL, T.E., ENRIGHT, W.H., AND JACKSON, K.R. User's guide for DVERK--a subroutine for solving non-stiff ODEs. Tech. Rep. No. 100, Dept. of Comptr. Sci., U. of Toronto, Toronto, Canada, 1976
	6	INGRAM, H.L. A comparison of digital computer programs for the numerical solution of ordinary differential equations. NASA-TM-X-64781, Marshall Space Flight Center, Ala., 1971.
	7	LAMBERT, J.D. Computational Methods m Ordinary Differential Equations. John Wiley & Sons, London, 1973.
	8	MOORE, H. Comparison of numerical integration techmques for orbital applications. Proc. Conf. on the Numerical Solution of Ordinary Differential Equations, Lecture Notes in Mathematics No. 362, Springer, Berlin, 1974.
	9	SHAMPINE, L.F. Quadrature and Runge-Kutta formulas. Appl. Math. Comp. 2 (1976), 161-171.
	10	SHAMPINE, L.F., AND WATTS, H.A. Practical solution of ordinary differential equations by Runge- Kutta methods. Rep. SAND76-0585, Sandm Labs., Albuquerque, N. Mex., 1976.
	11	SHAMPINE, L.F., WATTS, H.A., AND DAVENPORT, S.M. Solving non-stiff ordinary differential equations--the state of the art. SIAM Rev. 18 (1976), 376-411.
	12	SHAMPINE, L.F., Arid WISNIEWSKI, J.A. The variable order Runge-Kutta code RKSW and its performance. Rep. SAND78-1347, Sandia Labs., Albuquerque, N. Mex., 1978.
	13	VERSER, J.H. Explicit Runge-Kutta methods with estimates of the local truncation error. SIAM J. Numer. Anal 15 (1978), 772-790.

CITED BY 2

	R. W. Brankin , I. Gladwell , J. R. Dormand , P. J. Prince , W. L. Seward, Algorithm 670: a Runge-Kutta-Nyström code, ACM Transactions on Mathematical Software (TOMS), v.15 n.1, p.31-40, March 1989
	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